Evaluate the function f(p) = p2 + 3p + 1 for p = -2.​

Answer:

2b^2

--------------

5a^4

Step-by-step explanation:

2a^-4

-------------

5b^-2

Negative exponents go to the denominator when they are in the numerator

and to the numerator when they are in the denominator

a^-4  becomes 1/a^4

1/b^-2  becomes b^2

2/5 * 1/a^4 * b^2

2*b^2 * 1/5a^4

Rewriting

2b^2

--------------

5a^4

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

Answer:

There were 10 people in team one.

Step-by-step explanation:

Let x= team one.

Let y= team two

Because there four times less people in team one than in two we know that x=(1/4)y

After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.

You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.

The process to solve this problem involves setting up an equation based on the given information and solving for x, which represents the original number of people on team one. The numerical answer is 10 people.

Let's denote the original number of people in team one as 'x'. Therefore, since team two had 4 times more people than team one, team two originally had '4x' people. The problem then tells us that 12 people were transferred from team two to team one and 6 people quit team two. This means that team two now has '4x - 12 - 6' people and team one has 'x + 12' people. Because both teams are equal in size after these changes, we can set these two expressions equal to each other. So, 'x + 12' is equal to '4x - 18'. Solving this equation for 'x' gives us x = 10.

So originally, team one had 10 people.

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Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

If we look a the supplied n elements of the sequence, and we divide each of them by -5.

1 = -5, -5/-5 = 1

2 = -10, -10/-5 = 2

3 = -20, -20/-5 = 4

4 = -40, -40/-5 = 8

We realize that we have all the powers of 2 there.

So the formula will start with -5 (the first element), then multiplied by a power of 2.

[tex]x = -5 (2)^{n-1}[/tex]

We can verify for the 4th element, where n = 4:

[tex]x = -5 (2)^{n-1} = -5 (2)^{4-1}  = -5 (2)^{3}  = -5 * 8 = -40[/tex]

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

Answer:

294 Joules.

Step-by-step explanation:

For this all you have to do is use the equation for PE or Potential Energy. Which is given by ... PE = mgh.

m = the mass in kg

g  = the accerlation due to gravity (9.8 m/s^2)

h  = the height of the object in meters.

so... 10 kg (9.8)(3m) = 294 J

Answer:

294!

Step-by-step explanation:

edge 2021 enjoy

Answer:

[tex]\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}[/tex]

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have

[tex]V=\dfrac{500}{3}\pi\ cm^3[/tex]

Substitute and solve for R:

[tex]\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3[/tex]        divide both sides by π

[tex]\dfrac{500}{3}=\dfrac{4}{3}R^3[/tex]          multiply both sides by 3

[tex]500=4R^3[/tex]                divide both sides by 4

[tex]125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm[/tex]

The formula of a Surface Area os a sphere:

[tex]S.A.=4\pi R^2[/tex]

Substitute:

[tex]S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2[/tex]

[tex]\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2[/tex]

Answer:

y=6x-18

Step-by-step explanation:

To find the standard equation of a linear relationship given two points, you need to find the slope and y intercept.

slope is change in y divided by change in x.

(6-0)/(4-3)

(6)/(1)

The slope of the line is 6.

We can plug this in along with x and y values from a given coordinate into the standard equation format to solve for b, the y intercept.

y=mx+b

y=0

x=3

m=6

0=6(3)+b

0=18+b

b=-18

now we know that the y intercept is (0,-18). The standard equation would be y=6x-18

Answer:

I believe the answer is c because 4.5 can fit in BP almost 4 times so it is most accurate sorry if I'm wrong

ANSWER

[tex]y= - 4x + 18[/tex]

EXPLANATION

The given line has equation;

[tex]y = - 4x + 5[/tex]

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

[tex]m = - 4[/tex]

The equation of this line is in the form:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the slope and the point:

(3,6)

[tex]y-6= - 4(x-3)[/tex]

[tex]y= - 4x + 12+ 6[/tex]

[tex]y= - 4x + 18[/tex]

the box is considered a prism

any prism the formula for volume is V=area of the base times height so

the first two boxes have the base of 16 plus the height of 3

so 16*3=48

48*2=96

the other box has the height of 5 so

16*5=80

in total they want the volume of all boxes so

96+80=176

answers B:)

if you need to elaborate lmk

Answer:

(B) 176 ft³

Step-by-step explanation:

Volume of the first box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the second box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the third box with  5 feet:

= 16 x 5

= 80 ft³

Total volume

= 48 + 48 + 80

= 176 ft³

Answer

Square root 15

Step-by-step explanation:

When you square root the number 15 it will give you a decimal number with a lot of numbers that can't be rationalized. However the square root of 25 can be seen as 5, 1.15 is a rationalized number, 4th option can be seen 1.255555555... which is still rational.

Answer:

Step-by-step explanation:

[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]

Answer:

alternate angles

Step-by-step explanation:

the picture shows that there is a the Transversal (When two lines are crossed by another line)

on the inner side of each of those two lines are called Alternate Interior Angles

the definition of alternate angles is if the original two lines are parallel, the alternate angles are equal.

Answer:

In the TRUE column:

- 0.65 pound of almonds costs $2.20

- the price per pound of almonds equals $2.20/0.65

That's basically the same information, presented 2 different ways, and they match the info presented in the graph.

In the FALSE column:

- 2.2 pounds of almonds cost $0.65 (nope, wrong numbers)

- Almonds cost $0.65 per pound (nope, they cost $3.38 per pound)

In the CANNOT BE DETERMINED column:

- Each bag of almonds weighs 2.2 pounds. (Cannot be verified, but it's highly unlikely since the price point on the graph is at 0.65 pounds)

____________________________________________________

Answer:

It represents the cost of the DVD player.

____________________________________________________

Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what  this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

____________________________________________________

Answer: About 5 months

Equation:

t = I / Pr

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = 1.92 / ( 120 × 0.04 ) = 0.4

t = 0.4 years

The time required to

accumulate simple interest of $ 1.92

from a principal of $ 120.00

at an interest rate of 4% per year

is 0.4 years (about 0 years 5 months).

Answer: First Option

The approximate price of a pint of veggies is $1.75

Step-by-step explanation:

if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:

[tex]hv + 2.85f = z[/tex]

Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.

h represents the cost  of a pint of cut vegetables .

We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70

So:

[tex]v = 5\\f = 7\\z = 28.70[/tex]

We substitute these values ​​into the equation and solve for h.

[tex]h(5) + 2.85(7) = 28.70\\\\5h=28.70-2.85(7)\\\\5h=28.70-19.95\\\\5h=28.70-19.95\\\\h=\frac{8.75}{5}\\\\h=\$\ 1.75[/tex]

Answer:

Step-by-step explanation:

You want an expression representing the cash flow of a taxi driver after giving three rides, filling the gas tank, then giving one more ride.

At $3.50 per mile, the driver will have income that is $3.50 multiplied by the number of miles for the ride. These income amounts are added.

A payment of $50 for gas is subtracted from the driver's income.

The desired expression is ...

  3.50×10 +3.50×5.5 +3.50×19 -50 +3.50×26

The value of the expression is $161.75.

The driver had $161.75 after the last ride.

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = x - 2 ← equation of line

If we are talking trigonometry, the answer is 24/32. If they want you to simplify your answer it would be 3/4.

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

So here, the center is (-2, 4), and the radius is 5.

Here's a graph: desmos.com/calculator/5zqdaam1w2

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

The answer is b 16 because you add the variables into the end of the numbers to identify you answer

Answer:

option A

1 , 1 , 1 , 1

Step-by-step explanation:

Given in the question a function

f(x) = x²

initial value[tex]x_{0}[/tex] = -1

First iteration

f(-1) = (-1)²= 1

[tex]x_{1} =1[/tex]

Second iteration

f(1) = (1)² = 1

[tex]x_{2} =1[/tex]

Third iteration

f(1) = (1)² = 1

[tex]x_{3} =1[/tex]

Fourth iteration

f(1) = (1)² = 1

[tex]x_{4} =1[/tex]

The answer to Number 9 is D and the answer to number 10 is D because in number 9, City P is above 0 and City R is a negative number and below 0. In number 10, Point A is at -20 and Point B is 5 less. That would get you the equation -20-5. -20-5 = -25. On a number line, -25 is less than -20 and would be on the left side of Point A. Hope this helps!

Whatever he or she said is correct

I love unit rate 13/34=0.38 months to write 1 chapter or write 2.62 in one month (34/13)

Answer:

C = 16pi

Step-by-step explanation:

Since we are evaluating for the circumference, we plug in the r. Since r=8, we get 2*pi*8 or 16pi.

answer should be C gl btw

Answer:

C

Step-by-step explanation:

There are 4 lines in between 2 consecutive integers, so each division is:

1/4 = 0.25

As we see from the graph, the highest miles is at the division before 2, which is 1.75

Also, the lowest miles is at 0.

Hence, difference in highest and lowest is 1.75 - 0 = 1.75

In fraction, [tex]1.75=1\frac{3}{4}[/tex]

correct answer C

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

Answer:

20

Step-by-step explanation:

Answer:

The probability your mean age will be at least 37 is approximately 26%

Step-by-step explanation:

Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;

a mean of 35

a standard deviation of 10.

The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;

a mean of 35

a standard deviation of [tex]\sqrt{10}[/tex]

The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 35 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]

where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]

We are required to find the probability that this sample mean age will be at least 37;

P(sample mean ≥ 37)

Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;

P(sample mean ≥ 37)

=[tex]P(Z\geq \frac{37-35}{\sqrt{10} })=P(Z\geq0.6325)=1-P(Z<0.6325)[/tex]

=1 - 0.7365 = 0.2635

=26%

Answer:

C: x=-4

Step-by-step explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Answer:

Step-by-step explanation:

Given are two functions f(x) and g(x)

[tex]f(x) = \frac{2}{x+3} +1\\[/tex]

and

[tex]g(x) = -|x+3|[/tex]

The two would be equal if

[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4