May somebody help me with this question? (It’s number 3) I would really appreciate it ! :) it gives you up to 50 points

answer: x= -(7+√33)/4 , x=-(7-√33)/4

The roots of the given equation should be  [tex]x= -(7+\sqrt 33)\div 4 , x=-(7-\sqrt 33)\div 4[/tex]

The equation is [tex]2x^2+7x=-2[/tex]

[tex]2x^2 + 7x + 2 = 0\\\\x = [-7 \pm \sqrt (7^2 - 4\times 2\times 2)] \div 2\times 2\\\\x = -7\div 4 \pm \sqrt (33) \div 4\\\\= (-7 \pm \sqrt33) \div 4[/tex]

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Check the picture below.

now, let's recall that running a segment from a midpoint across to a midpoint in a triangle, creates a midsegment, and a midsegment which is parallel to the "base" of the triangle, is always half of that base.

now, noticing the picture on the top-left triangle, we know those points are midpoints, so those in red are midsegments and therefore half the base, to make it short

IC = HE/2 = 7

JB = IC/2 = 3.5

now onto the top-right triangle, which is the same thing just basing itself on its other end

CG = AH/2 = 10

DF = CG/2 = 5

now, let's go to the  picture on the bottom-center

we  know that DG = 4, and since D and G are midpoints, DG is the midsegment of CEH thus

CH = 2DG = 8

likewise, on the green triangle ACH, the midsegment IB is half of the base CH, we know CH = 8, so IB = 4.

Answer: It will take 2 hours. 120 minutes. 4 half-hours.

Solve for x (isolate/get x by itself)

[tex]\frac{1}{4}x-7=\frac{3}{8}x-5[/tex]    Add 5 on both sides

[tex]\frac{1}{4}x-7+5=\frac{3}{8}x-5+5[/tex]

[tex]\frac{1}{4}x-2=\frac{3}{8}x[/tex]   Subtract 1/4x on both sides

[tex]\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x[/tex]

[tex]-2=\frac{3}{8}x-\frac{1}{4}x[/tex]   Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x

[tex]-2=\frac{3}{8}x-\frac{2}{8}x[/tex]

[tex]-2=\frac{1}{8}x[/tex]    Multiply 8 on both sides

[tex]-2(8)=(8)\frac{1}{8}x[/tex]

-16 = x

Answer:

Step-by-step explanation:

In the absence of a picture, I will have to assume that the two shorter sides of the triangle are given and are 28" and 15" and that the hypotenuse is unknown.

If that's the case, then we use the Pythagorean Theorem to find the length of the hypotenuse:

28² + 15² = hyp², or

784 + 225 = 1009 = hyp²

Taking the square root of both sides, we get

hyp = 31.8 in

Answer:

third side = 31.8 in

Step-by-step explanation:

Given that two sides of the right angle triangle are 28 in and 15 in.

Now we need to find about what is the third side of the right angle triangle.

So apply the formula of Pythagorean theorem.

[tex](Hypotenuse)^2=(Leg_1)^2+(Leg_2)^2[/tex]

[tex](Hypotenuse)^2=(28)^2+(15)^2[/tex]

[tex](Hypotenuse)^2=784+225[/tex]

[tex](Hypotenuse)^2=1009[/tex]

[tex]Hypotenuse=\sqrt{1009}[/tex]

[tex]Hypotenuse=31.7647603485[/tex]

Which is approx 31.8.

Hence Length of the third side = 31.8 in.

Answer:

The mass of the pipe is [tex]465\ g[/tex]

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

[tex]V=\pi [r2^{2}-r1^{2}]L[/tex]

we have

[tex]r2=2/2=1\ cm[/tex] ---> the radius is half the diameter

[tex]r1=1.8/2=0.9\ cm[/tex] ---> the radius is half the diameter

[tex]L=100\ cm[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}[/tex]

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

[tex]m=7.8(59.66)=465\ g[/tex]

Answer:

466

Step-by-step explanation:

The answer is C. (2,-2) u just search it up online and there are million answers

Answer:

The answer would be D. (2,0)

Step-by-step explanation:

Hope this helps!

The answer to this is C.

Answer: y=1/3x+4

You're welcome

Answer: [tex]x-3y+12.5=0[/tex]

Step-by-step explanation:

From the give en graph , the coordinates of the point marked for library =(7,6.5)

The slope of the Hope road passing from points (0,6) and (3,7) is given by :-

[tex]\text{Slope}=\dfrac{\text{Change in y-coordinate}}{\text{Change in x-coordinate}}\\\\\Rightarrow\ \text{Slope}=\dfrac{7-6}{3-0}=\dfrac{1}{3}[/tex]

Since , a street that passes through the building site and is parallel to the Hope road​, then the slope of the street will be :-

[tex]m=\dfrac{1}{3}[/tex]

[ The two parallel sides have same slopes. ]

Now, the equation of line having slope [tex]m=\dfrac{1}{3}[/tex] and passing through (7,6.5) is given by :-

[tex](y-6.5)=\dfrac{1}{3}(x-7)\\\\\Rightarrow3(y-6.5)=x-7\\\\\Rightarrow\ 3y-19.5=x-7\\\\\Rightarrow x-3y+12.5=0[/tex]

Hence, the equation of a street that passes through the building site and is parallel to the Hope road​  : [tex]x-3y+12.5=0[/tex]

ANSWER

(–5, –11), because the point satisfies both equations

EXPLANATION

The given equations are:

Line A: y = x – 6

Line B: y = 3x + 4

We substitute (-5,-11) into both equations.

Line A: -11 = -5– 6

This implies that,

-11=-11

This statement is true.

Line B: -11= 3(-5)+ 4

-11= -15+ 4

-11=-11

This is also true.

Since this point ,(&6,-11) satisfy both equations, it is their solution.

Final answer:

To find what multiplied by 3/4 equals 1/4, set up the equation 3/4 * x = 1/4 and solve for x, giving the answer x = 1/3.

Explanation:

This question demands basic understanding of multiplication and reciprocals.

The question asks, "3/4 times what equals 1/4?". To find the answer, we can set up the equation 3/4 * x = 1/4, where x is the unknown we are trying to find. Solving for x involves dividing both sides of the equation by 3/4 to isolate x.

Therefore, the equation simplifies to x = (1/4) / (3/4). Performing the division gives us x = 1/3. This means that 1/3 is the number you need to multiply by 3/4 to get 1/4.

To find what number multiplied by 3/4 equals 1/4, divide 1/4 by 3/4, which is the same as 1/4 times the reciprocal of 3/4 (4/3), resulting in 1/3.

To find out 3/4 times what equals 1/4, we are essentially looking for a number that when multiplied by 3/4 gives us 1/4. The mathematical operation we need to use is division since we want to find what 1/4 divided by 3/4 is. So, the equation we are solving is (1/4) ÷ (3/4).

When we divide fractions, we multiply by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. So, the calculation now is (1/4) × (4/3).

Multiplying the numerators and denominators separately, we get (1 × 4) / (4 × 3) which simplifies to 4/12. After simplification, 4/12 reduces to 1/3. Therefore, 3/4 times 1/3 equals 1/4.

Complete question is :

3/4 times is what equals 1/4​?

Answer:

33/65

Step-by-step explanation:

We know that there was a # of even numbers drawn = to 6+10+14+3, which equals 33.

This means, in 65 trials, 33 had even outcomes. This means the experimental probability is 33/65 or approximately 51% (the most precise I could get is 33/65= 0.50769230769)

Answer:

The equation of the perpendicular line is y = -x - 2

Step-by-step explanation:

* Lets revise the form of the slope intercept for

- The slope intercept form is y = mx + b, where m is the slope of

  the line and b is the y-intercept

* Now lets revise the relation between the slopes of the

 perpendicular lines

- If two lines are perpendicular, then the product of their slopes is -1

# Ex: If line L has slope m1 and line K has slope m2, and L ⊥ K

∴ m1 × m2 = -1

∴ m2 = -1/m1

* Now lets solve the problem

- We need to find the equation of the line which is perpendicular to

 the line whose equation is y = x + 3 and passes through point (2 , -4)

- Find the slope of the given equation

∵ y = x + 3

- In this form the slope is the coefficient of x

∴ m = 1

- Find the slope of the perpendicular line

∵ The slope of the perpendicular line = -1/m

∴ The slope of it = -1/1 = -1

- Write the equation of the line with the value of the slope

∴ y = -x + b

- To find the value of b substitute x , y in the equation by the x and

  y of the given point

∵ The line passes through point (2 , -4)

∵ y = -x + b

∴ -4 = -1(2) + b

∴ -4 = -2 + b ⇒ add 2 for both sides

∴ b = -2

- Write the equation with the value of b

∴ y = -x - 2

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

[tex]9.4 * 10^{-8} \: < \: 9.25 * 10^{-6} \: < \: 2.5 * 10^3 \: < \: 7* 10^3[/tex]

The correct choice is A.

Answer:

Option A. [tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Step-by-step explanation:

The given numbers are [tex]9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}[/tex].

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

[tex]9.4\times 10^{-8}[/tex] = 0.000000094

[tex]9.25\times 10^{-6}[/tex] = 0.00000925

[tex]2.5\times 10^{3}[/tex] = 2500

[tex]7\times 10^{3}[/tex] = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

[tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Option A. is the answer.

Answer:3.8

Step-by-step explanation: 5 or up you round up so you round up so it is 3.8

Answer:

3.8

Step-by-step explanation:

if the hundredth place is 5 or greater then turn the tenth place to 8 so 3.8

Answer:

Deon drove the truck 201 miles.

Step-by-step explanation:

Base Fee + (.98* Number of miles)= Cost

19.99 + .98x = 216.97

Subtract 19.99 from both sides.

.98x = 196.98

Divide both sides by .98

x = 201

Answer:

Part 18) Option D 100 square meters

Part 19) Option A 60 cubic meters

Part 19) Option C. 212 cubic centimeters

Step-by-step explanation:

Part 18) Estimate the surface area of the prism

we know that

The surface area of the prism is equal to

[tex]SA=2B+PH[/tex]            

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

Find the area of the base B

[tex]B=3.5*7=24.5\ m^{2}[/tex]

Find the perimeter of the base P

[tex]P=2*(3.5+7)=21\ m[/tex]

we have

[tex]H=2.4\ m[/tex]

substitute

[tex]SA=2(24.5)+(21)(2.4)=99.4\ m^{2}[/tex] ----> exact value

Estimate the surface area

we have

[tex]L=3.5=4\ m[/tex] ----> round up

[tex]W=7\ m[/tex]

[tex]H=2.4=2\ m[/tex] ----> round down

Estimate the area of the base B

[tex]B=4*7=28\ m^{2}[/tex]

Estimate the perimeter of the base P

[tex]P=2*(4+7)=22\ m[/tex]

substitute in the formula

[tex]SA=2(28)+(22)(2)=56+44=100\ m^{2}[/tex]

Part 19) Estimate the volume of the prism

The volume of the prism is equal to

[tex]V=BH[/tex]

we have

[tex]B=3.5*7=24.5\ m^{2}[/tex]

[tex]H=2.4\ m[/tex]

substitute

[tex]V=(24.5)(2.4)=58.8\ m^{3}[/tex] ----> exact value

Estimate the volume

we have

[tex]L=3.5=4\ m[/tex] ----> round up

[tex]W=7\ m[/tex]

[tex]H=2.4=2\ m[/tex] ----> round down

Estimate the area of the base B

[tex]B=4*7=28\ m^{2}[/tex]

substitute in the formula

[tex]V=(28)(2)=56\ m^{3}[/tex]    

Part 20) The volume of the prism is equal to

[tex]V=BH[/tex]

we have

[tex]B=6*6.8=40.8\ cm^{2}[/tex]

[tex]H=5.2\ cm[/tex]

substitute

[tex]V=(40.8)(5.2)=212.16\ cm^{3}[/tex] ----> exact value

Estimate the volume

we have

[tex]L=6\ cm[/tex]

[tex]W=6.8=7\ cm[/tex] ----> round up

[tex]H=5.2=5\ cm[/tex] ----> round down

Estimate the area of the base B

[tex]B=6*7=42\ cm^{2}[/tex]

substitute in the formula

[tex]V=(42)(5)=210\ cm^{3}[/tex]    

Answer:

2:3. Since there are 3 tops for every 2 bottoms (3:2) you would flip the ratio around so there are 2 bottoms for every 3 tops.

The ratio of bottoms to tops is 2:3.

To find the ratio of bottoms to tops, we can use the information given in the question. Ana wants to have three tops for every two bottoms. This means that for every 2 bottoms, she will have 3 tops. The ratio of bottoms to tops is therefore 2:3.

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Answer:

that share a common vertex

Answer:

B.(-5,-7)

Step-by-step explanation:

According to the rule of rotation if you were to have a 270* clockwise you would first switch the x and y values. Ex: (-7,5) -> (5,-7). next you would make the original y coordinate a negative. (5,-7) -> (-5,-7).

Answer:

b= -10

Step-by-step explanation:

9^ -8  * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

a=9

b= -10

Answer:

-10

Step-by-step explanation:

1st: the

2nd: expect

3rd: said

last step: so

To graph the function y = -x^2 + 4, calculate a set of (x, y) values for the function, plot these points on a graph, and connect them to form a downward-opening parabola.

To make a table of values for the function rule y = -x2 + 4 and then graph the function, we need to choose a range of x values, calculate the corresponding y values and plot these points on a graph.

Here's a possible table of values:

After calculating the values, we plot the points (-2, 0), (-1, 3), (0, 4), (1, 3), and (2, 0) on a graph and draw a curve through these points to visualize the parabola represented by the equation y = -x2 + 4. The graph will be a downward-opening parabola with its vertex at (0, 4).

Answer:

Using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

Step-by-step explanation:

You use a bar graph to compare things between different groups, so it is the most appropriate one to use.

You use a pie chart to compare parts of a whole, so it would not be appropriate.

The graph should represent the relative sizes of the two values (24:18 or 1.33:1). Using a square or a cube would distort the relationship. The relative area of the squares would be 1.77:1 and that of the cubes would be 2.37:1.

Charts are used to represent data graphically.

The best way to represent the data is (a) using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

The given parameters are:

[tex]\mathbf{Student = 2.4}[/tex]

[tex]\mathbf{Graduate = 1.8}[/tex]

Both data elements, are for different people.

So, it is best to use a bar chart.

Using a pie chart will imply that, the data elements are part of a whole data for a particular person.

Squares and cubes cannot be used at all.

Hence, the correct option is (a).

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Answer with explanation:

 y= |x| -1

|x|=x , if x≥0

and = -x , if x<0.

So,the above function can be written as

 [tex]y=\left \{ {{x-1,for, x\geq 0 } \atop {-x-1,for x<0}} \right.[/tex]

First Drawing the graph of

y= x-1 for, x ≥ 0

And , then , y= -x -1 ,for x <0.

and then combining, the two we get.

Answer:

what they said

Step-by-step explanation:

Answer:

Because s and t are parallel x=12

Step-by-step explanation:

To get this you have to solve for (4x-12)+120=180 solve for x

4x+12=60

4x=48

=12

The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The sum of the angle (4x - 12)° and (120)° will be equal to 180°. Then the equation is given as,

4x - 12 + 120 = 180

Simplify the equation, then we have

4x - 12 + 120 = 180

4x = 72

x = 72 / 4

x = 18

The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.

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Angela's earnings are calculated by applying her 7% commission rate to the total sales of $26,300, resulting in her earning $1,841 for the month.

Angela earns money purely through a commission system where she makes a 7% commission on her sales. To calculate Angela's earnings for the month, we first need to apply the commission rate to her total sales. Angela sold $26,300 worth of merchandise.

So, Angela earned $1,841 from her commission for the month.

ANSWER

[tex]S_4 = \frac{208}{375} [/tex]

EXPLANATION

The given series is:

[tex]\sum_{n=1}^{\infty} \frac{2}{3} ( - { \frac{1}{5} })^{n - 1} [/tex]

When n=1, the first term is

[tex]a = \frac{2}{3} [/tex]

The sum of terms of a geometric sequence is given by the formula;

[tex]S_n = \frac{a {(1 - {r}^{n} )} }{1 - r} [/tex]

The sum of the first 4 terms is:

[tex]S_4= \frac{ \frac{2}{3} {(1 - { ( - \frac{1}{5} )}^{4} )} }{1 - - \frac{1}{5} } [/tex]

[tex]S_4 = \frac{208}{375} [/tex]

The value for S4 is represented by the third option, [tex]\frac{208}{375}[/tex] .

You can define a geometric sequence when you have a common ratio between the numbers of a sequence. This common ratio can be found when you multiply or divide the previous term by the next term of the sequence and you find the same value. The formula for geometric sequences is:

[tex]a_n=a_1*r^{n-1}[/tex], where:

[tex]a_n[/tex]=[tex]n^{th}[/tex] term

[tex]a_1[/tex]= the first term

Example

2, 4,8, 16, ....

Here, you have:

[tex]a_1[/tex]= 2

[tex]r=\frac{a_2}{a_1}=\frac{a_3}{a_2}=2[/tex] ,  then: 2 x 2= 4; 4 x 2=8; 8 x 2=16 - Note that the numbers represent the example sequence.

For solving this exercise also it is necessary to apply the formula for the geometric sequence for finite terms since the question asks [tex]S_4[/tex], in the other words, the sum for n=4. Thus,[tex]S_n=\frac{a_1*(1-r^n)}{1-r}[/tex].

For the given series, when n=4, you have

                              [tex]\frac{2}{3} *(\frac{-1}{5})^{n-4} \\ \\ \frac{2}{3} *(\frac{-1}{5})^{4-4}\\ \\ \frac{2}{3} *(\frac{-1}{5})^{0}\\ \\ \frac{2}{3} *1=\frac{2}{3}[/tex]

Therefore, [tex]a_1=\frac{2}{3}[/tex].

Now, you will find S4 from the formula for the geometric sequence for finite terms

[tex]S_n=\frac{a_1*(1-r^n)}{1-r}\\ \\ =\frac{\frac{2}{3}\cdot \left(1-\left(-\frac{1}{5}\right)^4\right)}{1-\left(-\frac{1}{5}\right)}\\ \\ \frac{\frac{2}{3}\left(1-\left(-\frac{1}{5}\right)^4\right)}{1+\frac{1}{5}}=\frac{\frac{416}{625}}{\frac{6}{5}}=\frac{416\cdot \:5}{625\cdot \:6}=\frac{208}{375}[/tex]

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Answer:

Step-by-step explanation:

x + 1 = x - 1 - 1

x + 1 = x - 2              subtract x from both sides

x - x + 1 = x - x - 2

1 = -2   FALSE

After 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

The formula for the compounded continuously:

[tex]\rm A = Pe^{rt}[/tex]

r = 6.4% = 0.064

t = 12

P = $12,0000

[tex]\rm A = 12,0000e^{0.064\times12}[/tex]

After solving:

A = $25,865.41

Thus, after 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

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Answer: b

Step-by-step explanation: