patrick is going to paint the fence posts around the corral. the rectangular corral is 50 ft by 30 ft, with the fence posts spaced 5 feet apart. how many fence posts does patrick have to paint?​

Answers

Answer 1

Answer:

32 posts

Step-by-step explanation:

In terms of fence-post spaces, the corral is 10 by 6, so its perimeter is ...

P = 2(10 +6) = 32 . . . . . fence post spaces.

Patrick intends to paint 32 fence posts.

Answer 2

Final answer:

Patrick needs to paint a total of 32 fence posts around the rectangular corral. This total counts the posts for both pairs of sides after considering that the four corner posts have been counted twice.

Explanation:

The question involves calculating the total number of fence posts needed to surround a rectangular corral. Since the corral is 50 ft by 30 ft, and fence posts are spaced 5 feet apart, we must calculate how many posts are needed on each side of the rectangle and then add them together.

To begin with, for each of the longer sides (50 ft), we would need 50 ft ÷ 5 ft/post = 10 posts per side. However, we need to add one more post to close the rectangle, so we have 10 + 1 = 11 posts on each of the longer sides. For the shorter sides (30 ft), it would be 30 ft ÷ 5 ft/post = 6 posts per side, plus the extra post to close the rectangle, resulting in 6 + 1 = 7 posts on each of the shorter sides.

To get the total number of posts, we add up the posts on all sides: (11 posts × 2) + (7 posts × 2) = 22 + 14 = 36 posts. However, we must consider that we have counted the corner posts twice, once for each side they join. Since there are four corners, we subtract four posts from our total, resulting in 36 - 4 = 32 posts that Patrick needs to paint.


Related Questions

It takes Ebru 13 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7;15 What time will Ebru get to school if she walks?

Answers

Answer:

[tex]7;41[/tex]

Step-by-step explanation:

Let

x----> the time it take Ebru to walk to the school

we know that

[tex]x=2(13)=26\ min[/tex]

so

[tex]7;15 +26\ min=7;41[/tex]

Ebru takes 26 minutes to walk to school, twice as long as biking. Leaving at 7:15 AM means she would arrive at school by walking at 7:41 AM.

If Ebru bikes to school, it takes her 13 minutes. Walking takes her twice as long, which would be 26 minutes. If Ebru leaves her house at 7:15 AM, we can calculate the time she will get to school by walking by adding 26 minutes to the departure time.

7:15 AM + 20 minutes = 7:35 AM7:35 AM + 6 minutes = 7:41 AM

Therefore, if Ebru walks to school, she will arrive at 7:41 AM.

The dimensions of Square A are three times The dimensions of Square B. The area of Square A is 1,296 cm2. What is the area of Square b?

Answers

Square B Area = 144cm²

Square B = X

The dimensions of Square A are three times The dimensions of Square B

Square A = 3 * Square B

Square A = 3X

The area of Square A is 1,296 cm2.

Square A Area = (3X)² = 1296

Square B Area = X²

Solve to find X.

(3X)² = 1296

3X = 36

X = 36/3 = 12

Square B Area = 12² = 144

Square B Area = 144cm²

Final answer:

The area of Square B is 144 cm², calculated by dividing the area of Square A (1,296 cm²) by 9, because the area of a square scales with the square of its linear dimensions.

Explanation:

The area of Square A is given as 1,296 cm². Since the dimensions of Square A are three times the dimensions of Square B, we can find the area of Square B by understanding that area scales in proportion to the square of the linear dimensions. This means that if one dimension is three times another, the area will be nine times (3² = 9) larger.

To find the area of Square B, we simply divide the area of Square A by 9:

Area of Square B = Area of Square A / 9

Area of Square B = 1,296 cm² / 9

Area of Square B = 144 cm².

Therefore, the area of Square B is 144 cm².

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 2x + 4), [−2, 2] Step 1 The absolute maximum and absolute minimum values of the function f occur either at a critical number or at an endpoint of the interval. Recall that a critical number is a value of x where f '(x) = 0 or where f '(x) doesn't exist. We begin by finding the critical numbers. f '(x) =

Answers

[tex]f(x)=\ln(x^2+2x+4)\implies f'(x)=\dfrac{2x+2}{x^2+2x+4}[/tex]

The numerator determines where the derivative vanishes (the denominator has a minimum value of 3, since [tex]x^2+2x+4=(x+1)^2+3\ge3[/tex]).

[tex]2x+2=0\implies x=-1[/tex]

At this critical point, we have

[tex]f(-1)=\ln((-1)^2+2(-1)+4)=\ln3\approx1.099[/tex]

At the endpoints, we have

[tex]f(-2)=\ln4\approx1.386[/tex]

[tex]f(2)=\ln12\approx2.485[/tex]

so [tex]f[/tex] attains a maximum value of [tex]\ln12[/tex] and a minimum value of [tex]\ln3[/tex].

Final answer:

The absolute minimum of the function f(x) = ln(x2 + 2x + 4) is at x=-2 where the value is ln(4) and the absolute maximum is at x=2 where the value is ln(8). There are no critical numbers within the selected interval.

Explanation:

The given function is

f(x) = ln(x

2

+ 2x + 4)

, for which we need to find the absolute maximum and minimum in the interval [-2, 2]. Firstly, we find the derivative of the function:

f '(x) = (2x + 2) / (x

2

+ 2x + 4)

. To find the critical points, we set the derivative equal to zero and solve for x, finding no real solutions, indicating there are no critical numbers within the given interval. Thus, the extrema must occur at the endpoints. So, we find f(-2) = ln(4) and f(2) = ln(8).

The absolute minimum is ln(4) at x = -2 and the absolute maximum is ln(8) at x = 2

.

Learn more about Absolute Extrema here:

https://brainly.com/question/35742409

#SPJ11

Use the x-intercept method to find all real solutions of the equation.
x^3-6x2+3x+10=0

Answers

Answer:

Three solutions were found :

x = 5

x = 2

x = -1

Step-by-step explanation:

 

Answer:

d. [tex]x=-1,2,\:or\:5[/tex]

Step-by-step explanation:

The given equation is;

[tex]x^3-6x^2+3x+10=0[/tex]

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator.

The corresponding function is

[tex]f(x)=x^3-6x^2+3x+10[/tex]

The solution to [tex]x^3-6x^2+3x+10=0[/tex] is where the graph touches the x-axis.

We can see from the graph  that; the x-intercepts are;

(-1,0),(2,0) and (5,0).

Therefore the real solutions are:

[tex]x=-1,2,\:or\:5[/tex]

In your own words, summarize how the Jacksonian Era was characterized?

Answers

Answer: Actually The Jacksonian Era was characterized by the thought that each individual also equally have right and he or she is important and that all should be able to have a say or participate in any government activities.

All in all i think its actually giving greater right to the common man.

What is the value of 6x squared+ 4x + 8 when x=7? Please answer this I really need help!

Answers

Let’s write it simply, that helps us solve it easier.
6x^2+4x+8
Now, insert 7 in place of x.
6(7)^2+4(7)+8
Now, multiply.
42^2+28+8
Solve for exponents.
1,764+28+8
Add.
1,792+8
1,800
Hope this helps!

NEED HELP ASAP! PLEASE HElp!!

Answers

the answer should be C

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 5(1 − x)−2 f(x) = ∞ n = 0 Find the associated radius of convergence R. R =

Answers

We can use the fact that, for [tex]|x|<1[/tex],

[tex]\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n[/tex]

Notice that

[tex]\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}[/tex]

so that

[tex]f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right][/tex]

[tex]f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}[/tex]

[tex]f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}[/tex]

[tex]f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n[/tex]

By the ratio test, this series converges if

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|<1[/tex]

so the series has radius of convergence [tex]R=1[/tex].

Final answer:

The Maclaurin series for the function 5(1 − x)⁻² is obtained by applying the binomial series theorem, resulting in the series: 5*(1 + 2x - 2 + 3x² - 3x + 4x³ - 4x² + ...). The radius of convergence for the series is 1.

Explanation:

The function given is f(x) = 5(1 − x)−2. The Maclaurin series of a function f is the expression of that function as an infinite sum of terms calculated from the values of its derivatives at a single point. Here, we can use the binomial theorem as a starting point. It states that (1+x)ⁿ = 1 + nx + (n(n-1)/2!)x² + ..., where n is a real number and -1

Now, f(x) is similar to the binomial series: if we let n=-2, and x become -(x-1), we have f(x) = 5(1 – x)⁻² = 5*(1 + 2(x-1) + 3*(x-1)² + 4*(x-1)³ + ...)

So the Maclaurin series for the function is: 5*(1 + 2x - 2 + 3x² - 3x + 4x³ - 4x² + ...). The next step is to find the radius of convergence. The series has a radius of convergence R such that for all x in the interval -R

Learn more about Maclaurin Series here:

https://brainly.com/question/31745715

#SPJ11

The red object below, is best defined as a

Answers

Answer:

Where is the red object?

Step-by-step explanation:

I CANT SEE THE RED OBJECT U DIDNT PUT ITTT

a scientist is growing bacteria in a lab for study one particular type of bacteria grows at a rate of y=2t^2+3t+500 a different bacteria grows at a rate of y=3t^2+t+300 in both of these eqiations y is the number of bacteria after t minutes when is there an equal number of both types of bacteria

Answers

ANSWER

t=15 minutes.

EXPLANATION

The equation that models the growth rate of the first type of bacteria is,

[tex]y = 2 {t}^{2} + 3t + 500[/tex]

The growth rate of a second type of bacteria is modeled by:

[tex]y = 3 {t}^{2} + t + 300[/tex]

Since y is the number of bacteria after t minutes in both equations, we equate both equations to find the time when there is an equal number of both types of bacteria.

[tex]3 {t}^{2} + t + 300 = 2 {t}^{2} + 3t + 500[/tex]

We rewrite as standard quadratic equation,

[tex]3 {t}^{2} - 2 {t}^{2} + t - 3t + 300 - 500 = 0[/tex]

[tex] {t}^{2} - 2t - 200 = 0[/tex]

We use the quadratic formula to obtain,

[tex]t = \frac{ - - 2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 200) } }{2(1)} [/tex]

[tex]t = \frac{ -2 \pm \sqrt{ 804} }{2} [/tex]

[tex]t = \frac{ -2 \pm 2\sqrt{ 201} }{2} [/tex]

[tex]t = 1 - \sqrt{201} \: or \: t = 1 + \sqrt{201} [/tex]

t=-13.177 or t=15.177

We discard the negative value. Hence there is an equal number of both types of bacteria after approximately 15 minutes.

the question and answers are below on the picture

Answers

Answer:

[tex]\large\boxed{B)\ 16x^2-25}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ (a-b)(a+b)=a^2-b^2[/tex]

[tex](4x-5)(4x+5)=(4x)^2-5^2=16x^2-25[/tex]

Theres 5 boxes of candle. One box has 16 candles Four boxes has 24 candles each How many candles do the five boxes have altogether?

Answers

Answer:

 112 candles

Step-by-step explanation:

We can simply add up the 5 numbers of candles, or we can take advantage of the invention of multiplication to replace repeated addition. The number of candles altogether is the sum of the numbers of candles in each of the 5 boxes.

  16 + 4×24 = 16 +96 = 112

The total number of candles is 112.

Solve the equation. Round to the nearest hundredth. Show work.

[tex]8^{-x+7} = 3^{7x+2}[/tex]

Answers

Answer:

Final answer is approx x=1.27.

Step-by-step explanation:

Given equation is [tex]8^{-x+7}=3^{7x+2}[/tex].

Now we need to solve equation [tex]8^{-x+7}=3^{7x+2}[/tex] and round to the nearest hundredth.

[tex]8^{-x+7}=3^{7x+2}[/tex]

[tex]\log(8^{-x+7})=\log(3^{7x+2})[/tex]

[tex]\left(-x+7\right)\cdot\log\left(8\right)=\left(7x+2\right)\cdot\log\left(3\right)[/tex]

[tex]-x\cdot\log\left(8\right)+7\cdot\log\left(8\right)=7x\cdot\log\left(3\right)+2\cdot\log\left(3\right)[/tex]

[tex]-x\cdot\log\left(8\right)-7x\cdot\log\left(3\right)=2\cdot\log\left(3\right)-7\cdot\log\left(8\right)[/tex]

[tex]x\left(-\log\left(8\right)-7\cdot\log\left(3\right)\right)=\left(2\cdot\log\left(3\right)-7\cdot\log\left(8\right)\right)[/tex]

[tex]x=\frac{\left(2\cdot\log\left(3\right)-7\cdot\log\left(8\right)\right)}{\left(-\log\left(8\right)-7\cdot\log\left(3\right)\right)}[/tex]

Now use calculator to calculate log values, we get:

[tex]x=1.26501646392[/tex]

Round to the nearest hundredth.

Hence final answer is approx x=1.27.

Question part points submissions used use newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (round your answer to four decimal places.) 2x3 − 3x2 + 2 = 0, x1 = −1

Answers

Set [tex]f(x)=2x^3-3x^2+2[/tex]. Find the tangent line [tex]\ell_1(x)[/tex] to [tex]f(x)[/tex] at the point when [tex]x=x_1[/tex]:

[tex]f'(x)=6x^2-6x\implies f'(x_1)=12[/tex] (slope of [tex]\ell_1[/tex])

[tex]\implies\ell_1(x)=12(x-x_1)+f(x_1)=12(x+1)-3=12x+9[/tex]

Set [tex]x_2=-\dfrac9{12}[/tex], the root of [tex]\ell_1(x)[/tex]. The tangent line [tex]\ell_2(x)[/tex] to [tex]f(x)[/tex] at [tex]x=x_2[/tex] has slope and thus equation

[tex]f'(x_2)=\dfrac{63}8\implies\ell_2(x)=\dfrac{63}8\left(x+\dfrac9{12}\right)-\dfrac{17}{32}=7x+\dfrac{151}{32}[/tex]

which has its root at [tex]x_3=-\dfrac{151}{224}\approx-0.6741[/tex].

(The actual value of this root is about -0.6777)

60 POINTS!!! Please Help ASAP

Question:

Find the distance between the points (1, 4) and (-5, -4) on the coordinate plane. Show your work to justify your answer and earn full credit.

Answers

ANSWER

The distance is 10 units.

EXPLANATION

Let us use the distance formula to find the distance between,

[tex](x_1,y_1)=(1,4)[/tex]

and

[tex](x_2,y_2)=( - 5, - 4)[/tex]

The distance formula is given by,

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]

We plug in the values to get,

[tex]d = \sqrt{( - 5-1)^2 + ( - 4-4)^2} [/tex]

[tex]d = \sqrt{( -6)^2 + ( - 8)^2} [/tex]

[tex]d = \sqrt{36+ 64} [/tex]

[tex]d = \sqrt{100} [/tex]

[tex]d = 10[/tex]

A counterexample for the expression sin y tan y= cos y is 0.

Answers

Answer:

True

Step-by-step explanation:

To answer this question we must evaluate

y = 0° on both sides of the equation.

For the left side we have:

[tex]sin(0\°) tan(0\°)[/tex]

We know that [tex]tan(0\°) =\frac{sin(0\°)}{cos(0\°)}[/tex]

We know that [tex]cos(0\°) = 1[/tex] and [tex]sin(0\°) = 0[/tex].

Therefore [tex]tan(0\°) = 0[/tex].

Then the left-hand side of the equals is equal to zero.

On the right side we have:

[tex]cos(y)[/tex]

When evaluating [tex]cos(y)[/tex] at [tex]y = 0[/tex]

We have to [tex]cos(0\°) = 1[/tex].

0 ≠ 1

The equation is not satisfied. Therefore y = 0 ° is a counterexample to the equation

Answer:true

Step-by-step explanation:

edge

A baseball infield is in the shape of a square within the bases and home plate. The area of the infield is 8,100 square feet. What is the length of one side of the infield?

Answers

A = s^2. For a square
8100 = s^2. Take square root of each side
S = 90

Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of what the dog eats. What fraction of a cup does his cat eat?

Answers

Answer:

3/32 of a cup of food

Step-by-step explanation:

Sammy's dog eats 3/4 cup of food at each meal. His cat eats 1/8 of that.

This comes out to (1/8)th of (3/4 cup), or:

 1        3

----- · ----- cup  =  3/32 cup

  8      4

The cat eats 3/32 of a cup of food.

Final answer:

Sammy's cat eats 3/32 cup of food per meal, which is calculated by multiplying the dog's portion, 3/4 cup, by 1/8.

Explanation:

Solving the question involves a basic understanding of fractional multiplication. Since Sammy's cat eats 1/8 of what the dog eats, we calculate the cat's portion by multiplying the dog's portion by 1/8.

Sammy's dog eats 3/4 cup of food at each meal. To find out what fraction of a cup Sammy's cat eats, we multiply 3/4 by 1/8.

Here's the calculation: 3/4 × 1/8 = 3/32

Therefore, Sammy's cat eats 3/32 cup of food at each meal.

Mateo wants to make a toy sailboat. He has two pieces of wood to choose from.
His first piece of wood is a block that measures 18'' x 10" x 8". It weighs 46.65 lbs.
His second piece of wood is a log of wood measuring 21" long, with an average circumference of 25.12". It weights 39.25 lbs.
The sailboat needs to float, but both blocks of wood are denser than wood usually is, and he's not sure either piece of wood will float. He doesn't want to get the water wet before he's applied a sealant, so he isn't willing to just drop them in the water to find out.
2a. Which common solid can he use to represent the block? Which common solid can he use to represent the log? (2 points)
2b. What is the density of the block in pounds per cubic inch? Give the formula for density and show your work. (3 points)
2c. What is the density of the log in pounds per cubic inch? Give the formula for density and show your work. Use 3.14 for π. (Hint: you can determine the radius from the circumference.) (3 points)
2d. Water has a density of about 0.0361 pounds/cubic inch. Anything rarer will float, and anything denser will sink. Which of the pieces of wood are suitable for making a toy boat that will float? (2 points)

Answers

Answer:

wut is it

Step-by-step explanation:

If cos x = 2 / 3 and x is in quadrant 4, find:

a. sin(x / 2)

b. cos(x / 2)

c. tan(x / 2)

Answers

Answer:

A

Step-by-step explanation:

cos(x)=2/3 in Q 4

sin(x/2)=+√(1-cos(x))/2

√(1-cos(x))/2=√(1-[2/3]/2=√(1/3)/2=-√(1/6) because sin is negative in Q 4

Answer:

See below.

Step-by-step explanation:

Because cos x = 2/3 the adjacent side = 2 and hypotenuse = 3 so the length of the opposite side =  

√(3^2 - 2^2) =  -√5 (its negative because we are in Quadrant 4).

So sin x =  -√5/3.

(a) sin (x /2) =  - √ [ (1 - cos x)/2 ]

= -√(1 - 2/3)/ 2)

= -√(1/6).  or -0.4082.

(b)  cos (x/2)  = √ [ (1 + cos x)/2]

=  √ 5/6 or 0.9129.

(c)   tan (x /2) =   ( 1 - cos x) / sin x.

=  ( 1 - 2/3) /   -√5/3

= -0.4472.

LAST QUESTION PLEASE HELP ME

Answers

Answer:

y = 3x^2 + 1/3

Step-by-step explanation:

The first step is the easiest. Find the value of c. That means that all you are left with is c and y because x and a disappear when x = 0.

y = ax^2 + c

Givens

x = 0y = 1/3

Solution

1/3 = a(0)^2 + c

1/3 = 0 + c

c = 1/3

Second Given

x = - 3y = 82/3

Second Solution

82/3 = a*(-3)^2 + 1/3            Subtract 1/3 from both sides

82/3 - 1/3 = a*(9) + 1/3 - 1/3

81/3 = 9a                              Reduce the left

27 = 9a                                Divide by 9

27/9 = a

3 = a

Answer

y = 3x^2 + 1/3

If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. The probability of getting the first success on the xth trial is given byP(x) = p(1-p)^(x-1)where p is the probability of success on any one trial.Assume that the probability of a defective computer component is 0.34. Find the probability that the first defect is found in the second component tested.(Round answer to four decimal places.)P(2) =

Answers

Answer:

0.2312

Step-by-step explanation:

Using the formula given,

[tex]P(x) = p(1-p)^{x-1}[/tex],

we use 0.34 for p and 2 for x:

[tex]P(2) = 0.34(1-0.34)^{2-1}\\\\P(2) = 0.34(0.68)^1\\\\P(2) = 0.34(0.68) = 0.2312[/tex]

Find the length of the missing side. the triangle not drawn to scale. (Image attached)
Will give BRAINLIEST to the first person to answer correctly and show your work please :))

Answers

Answer: 8

Step-by-step explanation:

 The triangle shown in the image attached is a right triangle.

Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:

[tex]a^2=b^2+c^2[/tex]

Where a is the hypotenuse and b and c are the legs.

The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from [tex]a^2=b^2+c^2[/tex], as following:

[tex]17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8[/tex]

Therefore, the lenght of the missing side is: 8

Answer:

The value of third side= 8 units

Step-by-step explanation:

It is given a right angled triangle with base = 15 and hypotenuse = 17

We have to find the height of given triangle.

Points to remember

By Pythagorean theorem

Base² + Height² = Hypotenuse²

To find the third side

Here base = 15 and hypotenuse = 17

We have,

Base² + Height² = Hypotenuse²

Height² = Hypotenuse² - Base² = 17² - 15² = 64

Height = √64 = 8 units

Therefore the value of third side = 8 units

the graph of F(x), shown below, has the same shape as the graph of G(x)=x^2. but it is shifted up 4 units and to the right 3 units. What is its equation

Answers

Answer:

C

Step-by-step explanation:

The equation is y = a(b(x-c))+d

So for it to move right three units, it would be x - 3.

For it to move up 4 unites, it would be x+4.

So the equation would be y = (x - 3)^2 + 4

The correct answer is C

First you would substitute the expression moving it to the left then you change the signs the power function with an even exponent is always a positive or 0 but there is no x intercept.

(a) What is the difference between a sequence and a series? A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is an unordered list of numbers. A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) What is a convergent series? What is a divergent series? A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent. A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent. A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.

Answers

Answer:

a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers; b) A series is divergent if it is not convergent. A series is convergent if the sequence of partial sums is a convergent sequence.

Step-by-step explanation:

A sequence is a pattern.  It is an ordered list of objects, such as numbers, letters, colors, etc.

A series is a sum of a sequence.

A divergent series is one that is not convergent.

A convergent series is one in which the sequence of partial sums approaches a limit; this means the partial sums form a convergent sequence.

Which expression is equivalent to 8(a-6)

a. w>36
b w<36
c.w>5
d.w<5

Answers

Answer:

8a - 48

Step-by-step explanation:

An equivalent expression is an expression which is equal to 8(a-6). You can expand or simplify an expression to make an equivalent expression. Apply the distributive property to form a new equivalent expression by multiplying 8 into each term. 8(a-6) = 8*a - 8*6 = 8a - 48. The options listed below do not connect to this problem since they do not use the same variable as the expression.

Please help me with this...

Answers

3x+4=5x-50

54=2x

27=x

Answer:

x = 27

Step-by-step explanation:

The diagonals of a rectangle are congruent, hence

BD = AC ← substitute values

5x - 50 = 3x + 4 (subtract 3x from both sides )

2x - 50 = 4 ( add 50 to both sides )

2x = 54 ( divide both sides by 2 )

x = 27

At a football game, the ratio of filled seats to empty seats was 7 to 3. The maximum capacity of the stadium is 70,580 seats. How many seats were filled for the game?

Answers

Add the two numbers in the ratio: 7 +3 = 10

Divide total capacity by 10:

70,580 / 10 = 7,058

Multiply that by the ratio of filled seats:

7,058 x 7 = 49,406

49,406 seats were filled.

An artist wants to paint a mural. She mixes blue paint and red paint to make paint that is a certain shade of purple. The ratio of blue paint to red paint should be 3 to 2. She needs 20 gallons of the purple paint. How much more blue paint than red paint does she ​need?

Answers

Answer:

She needs 4 more gallons of blue paint than red paint

Step-by-step explanation:

Since the ratio is 3 to 2, 3 + 2 = 5.

The artist needs 20 gallons of purple paint, so 20/5 = 4

The amount of blue and red paint needed is 4x3 to 4x2, or 12 to 8.

She needs 12 gallons of blue paint and 8 gallons of red paint.

12 - 8 = 4

She needs 4 more gallons of blue paint than red paint.

Answer:

ok!

Step-by-step explanation:

blue = 8 gallons

red = 12 gallons

Which expression is equivalent to 56 + 21? 7(49 + 14) 8(7 + 21) 8(48 + 13) 7(8 + 3)

Answers


The correct answer is D. 7(8+3)
Use the distributive property.
7*8=56
7*3=21
56+21
Hope this helps!

Answer:

d 7(8 + 3)

Step-by-step explanation:

Other Questions
Read the excerpt from Pat Moras essay "The Leader in the Mirror." I urged the students to look often in their mirrors and to ask themselves these questions: "Am I satisfied with this world? If not, what will I do to improve it? For if we are shaped by our surroundings, we in turn shape them. We deceive ourselves if we believe that we can live neutral lives. Now read the excerpt from the article "Career Planning for High Schoolers." Volunteering allows you to serve your community and bolster your experience. Religious institutions, local nonprofits, and government agencies are among the many organizations that use volunteers to fill a variety of roles. In addition to encouraging you to meet like-minded people and develop your interests, these activities also show future employers and postsecondary schools that you are motivated and engaged. And the more you shape your thoughts about a career, the better you'll know how to prepare for it. How are the two passages different? The essay is written only for teachers, but the article is written for high-school students. The essay is written only for parents, but the article is written for high-school teachers. The essay reveals Pat Moras perspective, while the article has a less personal tone. The essay uses general examples, while the article reveals a personal perspective. I am writing to your company to apply for the position of customer service representative, which I originally saw on your company website, and which is advertised there. A sticker is in the shape of a trapezoid the height is 3 centimeters and the base are 2.5 centimeters and 5.5 centimeters what is the area of the sticker Which nation was a member of the Triple Alliance before World War 1?A. FranceB. GermanyC. Russia King Tut's tomb is located in Luxor. True False Can someone help me... The Big Bang theory states that ________.A.The universe will explodeB.The universe began as a small,dense ball of matterC.The universe is contracting D.The universe cannot expand anymore How does an impulse propagate down the axon For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?None of the other 3 statements here are False.S > SS > aS1 = a1 1. La mayora de los estudiantes de mi escuela secundaria decidieron estudiar en la misma universidad. El primer da de clases en la universidad, yo conoca a muchos compaeros. El primer da de clases en la universidad, yo conoc a muchos compaeros. 2. Todos mis papeles se daaron por la lluvia. Mientras esperaba el autobs, llovi. Llova mientras iba en el autobs. 3. Hay un gran escndalo por la desaparicin de los fondos (funds), pero todava no se sabe nada. El poltico quiso hacer comentarios. El poltico no quiso hacer comentarios. 4. Ayer murieron tres terroristas en una estacin de autobuses. Los terroristas salieron de la estacin y la bomba explot. The vertex form of the equation of a parabola is y = 2(x +4^2 - 7.What is the standard form of the equation? (6CQ) Evaluate the limit, or state that the limit does not exist. 2n+7n/13n Almost a century after the second National banks charter lapsed the government created An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry? 10. The first division of political parties came about because of what issue? A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesnt run on Friday. How many miles did he run in all The major means of propulsion through the alimentary canal is peristalsis.TrueFalse After a juvenile is arrested, the judge looks over the case to decide if there is enough evidence to charge the person with a crime or if the child should be released. This is known as a(n) __________ hearing.A)AdjudicatoryB)DispositionalC)Probable CauseD)Appellate Jurisdictional Overproduction in the farming industry led to what is a consequence to the organism if helper-t cells are destroyed by a pathogen, such as HIV? Steam Workshop Downloader