An animal is running at a rate of 40 ft per sec.(a) If the animal runs for 5 sec, what is its distance?(b) If the animal travels d ft, what is its time?If the animal travels d ft, it’s time is : _____(Use integers or fractions for any numbers)Is the answer in ft per sec, ft., or just sec.?

Answers

Answer 1

ANSWERS

(a) d = 200 ft

(b) t = d/40 sec

EXPLANATION

The animal is running at a rate of 40 feet per second. Given the units of this rate, we can conclude that this rate is the quotiend between distance (in feet) and time (in seconds),

[tex]40\frac{ft}{sec}=\frac{d}{t}[/tex]

(a) Now, if the animal runs for a time t = 5 seconds, we have to find what is its distance traveled, d. To do so, we solve the expression above for d by multiplying both sides by t,

[tex]d=40\frac{ft}{sec}\cdot t=40\frac{ft}{sec}\cdot5sec=200ft[/tex]

Hence, in 5 seconds the animal travels 200 feet.

(b) For this part of the question, we have to find the other variable, t, knowing that the distance traveled is d. Since the distance is not given as a number, we will find an expression as a function of d,

[tex]40\frac{ft}{sec}=\frac{d\text{ }ft}{t}[/tex]

Solving for t,

[tex]t=\frac{d\text{ }ft}{40\frac{ft}{sec}}[/tex]

The unit of distance, feet, cancels out, and we have the result in seconds,

[tex]t=\frac{d}{40}\text{ }sec[/tex]

Hence, the time for a distance traveled of d feet is d/40 sec.


Related Questions

what are three equivalent Ratios for 8/10

Answers

Answer: 16/20, 24/30, and 32/40

We are given a ratio of 8 to 10

[tex]\begin{gathered} \frac{8}{10} \\ \text{ To find the equivalent ratios, the numerator must be a multiple of 8 and the denominator must be a multiple of 10} \\ \text{Multiple of 8: 8 x 1, 8 x 2, 8 x 3, }8\text{ x 4} \\ \text{Multiple of 8: 8, 16, 24, 32} \\ \text{Multiple of 10: 10 x 1, 10 x 2, 10 x 3, 10 x 4} \\ \text{Multiple of 10: 10, 20, 30, 40} \\ \text{For 8 : 10} \\ \frac{8}{10\text{ }}\text{ = }\frac{4}{5} \\ \frac{16}{20}\text{ = }\frac{4}{5} \\ \frac{24}{30}\text{ = }\frac{4}{5} \\ \frac{32}{40}\text{ = }\frac{4}{5} \end{gathered}[/tex]

Therefore, the equivalent ratios for 8/10 are 16/20, 24/30, and 32/40

b In the given figure, by how much a is bigger than b? (a) 50° (b) 45° D (c) 5° (d) 10° 275°(B 245°

Answers

In order to solve this question it's useful to remember that the sum of the internal angles of a triangle is equal to 180°.

Firstly, let's take a look at the angles which have D as their vertex. These two angles are BDC and BDA and they both share a side whereas their remaining sides are in the same line. This means that these two are supplementary which means that their sum is equal to 180°. Knowing that the measure of BDC is equal to 90° we get:

[tex]\begin{gathered} BDC+BDA=90^{\circ}+BDA=180^{\circ} \\ 90^{\circ}+BDA=180^{\circ} \end{gathered}[/tex]

If we substract 90° from both sides:

[tex]\begin{gathered} 90^{\circ}+BDA-90^{\circ}=180^{\circ}-90^{\circ} \\ BDA=90^{\circ} \end{gathered}[/tex]

So both angles are right angles.

Having found the measure of angle BDA let's take a look at triangle BDA. We have a 45° angle, a 90° angle and angle b. Since the sum of these 3 must be equal to 180° so we get:

[tex]\begin{gathered} b+45^{\circ}+90^{\circ}=180^{\circ} \\ b+135^{\circ}=180^{\circ} \end{gathered}[/tex]

Then we substract 135° from both sides:

[tex]\begin{gathered} b+135^{\circ}-135^{\circ}=180^{\circ}-135^{\circ} \\ b=45^{\circ} \end{gathered}[/tex]

So we have found b. We still need to find a. Let's take a look at vertex B. The external angle is equal to 275° whereas there are two internal angles: a 45° angle and angle DBC. The sum of the external and internal angles in a vertex must be equal to 360° then we have:

[tex]\begin{gathered} 360^{\circ}=275^{\circ}+45^{\circ}+DBC=320^{\circ}+DBC \\ 360^{\circ}=320^{\circ}+DBC \end{gathered}[/tex]

If we substract 320° from both sides we get:

[tex]\begin{gathered} 360^{\circ}-320^{\circ}=320^{\circ}+DBC-320^{\circ} \\ 40^{\circ}=DBC \end{gathered}[/tex]

Now that we have angle DBC we can find angle a by looking at triangle BDC. The sum of its internal angles is 180° and we already know two of them: DBC and BDC. Then we get:

[tex]\begin{gathered} 180^{\circ}=DBC+BDC=40^{\circ}+90^{\circ}+a=130^{\circ}+a \\ 180^{\circ}=130^{\circ}+a \end{gathered}[/tex]

Then if we substract 130° from both sides we get:

[tex]\begin{gathered} 180^{\circ}-130^{\circ}=130^{\circ}+a-130^{\circ} \\ a=50^{\circ} \end{gathered}[/tex]

So now we know that a=50° and b=45°. Then a is bigger than b by 5° and the answer is option c.

How do you do this? I know how to figure out C but im not sure about B?

Answers

Answer: 50

Step-by-step explanation: i Think..

⇒To figure out b you have already been given an equation :[tex]a^{2} +b^{2} =c^{2}[/tex]

derived by Pythagoras

⇒n order to find the value of b the then in the given equation make b the subject of the formula:

[tex]b^{2} =c^{2} -a^{2} \\b=\sqrt{c^{2}-b^{2} }[/tex]

where your c us the hypotenuse equal to 6

where b is the adjacent side

where a is the opposite side equal 4

[tex]b=\sqrt{(6)^{2} -(4)^{2} } \\b=\sqrt{36-16} \\b=\sqrt{20} \\b=2\sqrt{5}[/tex]

GOODLUCK!!

Write the point-slope form of the equation of the line with slope -7/4 that passes through the point (-9, 2).

Answers

We have the slope

m= -7/4

and the point (x0,y0) = (-9,2).

The point-slope equation is given by

y-yo = m(x-x0)

y-2 = -7/4(x + 9)

Answer: the second option

A) Find the circumference of a circle whose radius is 4 inches.Round to the nearest tenth.B) Find the length of AB, if m

Answers

Given:

• Radius of the circle, r = 4 inches

,

• Central angle, m∠ACB = 60 degrees

Let's solve for the following:

• (A). Find the circumference of a circle whose radius is 4 inches.

To find the circumference, apply the formula:

[tex]C=2\pi r[/tex]

Where:

C is the circumference.

r is the radius = 4 inches.

Plug in 4 for r and solve for r:

[tex]\begin{gathered} C=2\pi *4 \\ \\ C=25.1\text{ inches} \end{gathered}[/tex]

Therefore, the circumference of the circle is 25.1 inches.

• (B). Let's find the length of the arc AB.

To find the length of the arc AB, apply the formula:

[tex]\begin{gathered} L=2\pi r*\frac{\theta}{360} \\ \\ L=C*\frac{\theta}{360} \end{gathered}[/tex]

Where:

θ is the central angle = 60 degrees.

C is the circumference.

Thus, we have:

[tex]\begin{gathered} L=25.1*\frac{60}{360} \\ \\ L=25.1*\frac{1}{6} \\ \\ L=4.18\approx4.2\text{ inches} \end{gathered}[/tex]

Therefore, the length of the arc is 4.2 inches.

ANSWER:

• (A). 25.1 inches

• (B). 4.2 inches

4711 13A BC DGiven this number line, CD = [?]

Answers

To obtain the measure of CD, find the absolute value of the difference of the coordinates.

[tex]\begin{gathered} CD=|13-11| \\ CD=|2| \\ CD=2 \end{gathered}[/tex]

factor f(x)= x² + x - 42

Answers

[tex]x^2+x-42[/tex]

The factors of -42 that sum to 1 are 7 and -6, therefore:

[tex]x^2+x-42=(x+7)(x-6)[/tex]

the correct image ch triangle does the equation 1.1.2 apply 4 С 4 Reset

Answers

The given equation is expressed as

4^2 + 4^2 = c^2

Recall, for a right angle triangle, we can apply the pythagorean theorem which is expressed as

opposite side^2 + adjacent side^2 = hypotenuse^2

The hypotenuse is the longest side

By comparing with the options, only the second option is a right angle triangle. The hypotenuse is C. The opposite side is 4 and the adjacent side is also 4.

Thus, the correct option is the second option

Which equation represents a line which is parallel to the line y = 3x - 8x + y = 18x - 3y = -123x + y = 6y - 3x = 7

Answers

Parallel equations have the same slope. First, let's identify the slope of the given equation, which is in the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Comparing the given equation with this form, we have m = 3, so the slope is 3.

Now, let's identify the slope of each option:

[tex]\begin{gathered} x+y=18\\ \\ y=-x+18\\ \\ m=-1 \end{gathered}[/tex][tex]\begin{gathered} x-3y=-12\\ \\ 3y=x+12\\ \\ y=\frac{1}{3}x+4\\ \\ m=\frac{1}{3} \end{gathered}[/tex][tex]\begin{gathered} 3x+y=6\\ \\ y=-3x+6\\ \\ m=-3 \end{gathered}[/tex][tex]\begin{gathered} y-3x=7\\ \\ y=3x+7\\ \\ m=3 \end{gathered}[/tex]

Therefore the correct option is the fourth one: y - 3x = 7.

how did work umm 1+2

Answers

The answer to the addition is 3

Here, we want to give the result of the addition of one integer to another

Mathematically, we evaluate this by;

[tex]1\text{ + 2 = 3}[/tex]

(3w)(w-2)=(w-1)(w) find the value of w

Answers

(3w)(w-2)=(w-1)(w) find the value of w

[tex]\begin{gathered} \mleft(3w\mright)\mleft(w-2\mright)=\mleft(w-1\mright)\mleft(w\mright) \\ \text{Apply distributive property} \\ 3w^2-6w=w^2-w \\ 3w^2-w2=6w-w \\ 2w^2=5w \\ 2w=5 \\ w=\frac{5}{2} \\ w=2.5 \end{gathered}[/tex]

Given ABC is a right triangle with right angle C AC = 15 centimeters and mA = 40 What is BC ? Enter your answer rounded to the nearest tenth, in the box cm

Answers

First we calculated the missing angle

angle=180-90-40

angle =50

using the law of sines we can obtain BC

[tex]\frac{15}{\sin(50)}=\frac{BC}{\sin(40)}[/tex][tex]BC=\frac{\sin (40)15}{\sin (50)}=12.58[/tex]

Jonas is also running a 6 mile race. there are water stops but they are every 1/3 mile including a the finish line. how many stop are there?

Answers

hello

in the quesion, for every 1/3 mile, he has a water stop

let's calculate the total number of water stop

[tex]undefined[/tex]

Jennifer works 3 1/2 hours eachmorning at the clinic How manyRoutine physicals could she compete in one morning? Serious injury 1 1/4 hrsDental scaling 3/4 hrs Routine physicals 1/3 hrs.Sick Animal visit 1/2 hrNew patient 3/4 hrs Immunizations 1/4 hrs

Answers

Answer

Jennifer can perform 10 Routine Physicals in the morning

Solution

- The question tells us that Jennifer works 3 1/2 hours each morning and we are asked to find how many Routine physicals she can perform in the morning if 1 Routine physical takes 1/3 hours.

- In order to find the number of Routine physicals that can be performed in 3 1/2 hours, we simply need to assume that Jennifer can perform n number of Routine physicals. That is:

[tex]\begin{gathered} \text{ Total number of Routine physicals:} \\ \frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\cdots=n\times(\frac{1}{3}) \\ \text{ } \\ \text{ If we take this as the total number of Routine Physicals possible within }3\frac{1}{2}\text{ hours, and r is the number } \\ \text{ of minutes left before }3\frac{1}{2}\text{ hours are completed, we have:} \\ \\ \frac{1}{3}+\frac{1}{3}+\frac{1}{3}+\cdots+r=3\frac{1}{2}=\frac{(3\times2)+1}{2}=\frac{7}{2} \\ \\ \therefore n\times(\frac{1}{3})+r=\frac{7}{2} \end{gathered}[/tex]

Thus, to find the number of Routine Physicals, n, we simply make n the subject of the formula:

[tex]\begin{gathered} n=3(\frac{7}{2}-r) \\ \\ \text{This implies that the number of Routine Physicals is divisible by 3. This means that n is a multiple of 3} \\ \text{Thus, we can test values with multiples of 3.} \\ \\ \text{when n = 3:} \\ 3\times(\frac{1}{3})=1\text{hour} \\ \\ \text{when n= 6}\colon \\ 6\times(\frac{1}{3})=2\text{hours} \\ \\ \text{when n = 9:} \\ 9\times(\frac{1}{3})=3\text{hours} \\ \\ \text{when n= 12:} \\ 12\times(\frac{1}{3})=4hours \\ \\ \text{This implies that the number of Routine Physicals cannot be greater than or equal to 12. It also } \\ \text{implies that the number of Routine Physicals cannot be less than 9 since 9 physicals would take} \\ 3\text{ hours.} \\ \\ This\text{ means that the number of possible hours is between 10 or 11.} \\ \\ when\text{ n = 10:} \\ 10\times(\frac{1}{3})=3+\frac{1}{3}\text{ hours}<3\frac{1}{2}\text{ hours} \\ \\ \text{when n = 11:} \\ 11\times(\frac{1}{3})=3+\frac{2}{3}\text{ hours}>3\frac{1}{2}\text{ hours} \\ \\ \text{Thus, we can conclude that Jennifer can only do 10 Routine Physicals in the morning} \end{gathered}[/tex]

Final answer

Jennifer can perform 10 Routine Physicals in the morning

Solve for X in the following triangle using cosine law. Show your work

Answers

Given:

Required:

We need to find the value of X by using cosine law

Explanation:

First the formula to find angle by cosine law is

[tex]X=\cos^{-1}(\frac{c^2+b^2-a^2}{2cb})[/tex]

where

a is the length of BC

b is the length of AC

c is the length of AB

X is the opposite angle of a

now put all the values

[tex]X=\cos^{-1}(\frac{110^2+100^2-70^2}{2*110*100})=38.57\degree[/tex]

Final answer:

value of X is 38.57 degree

A Ferris Wheel has a center of 85 feet off the ground and the highest car sits 166 feet off the ground.

Answers

As the highest car sits 166 feet off the ground. the radius of the circle is equal to the difference between that heigth and the center of the ferris:

[tex]\begin{gathered} r=166ft-85ft \\ \\ r=81ft \end{gathered}[/tex]The radius is 81 feet

The lowest a cat will sit is the difference between the center of the circle and the radius:

[tex]85ft-81ft=4ft[/tex]The lowest a car will sit on the Ferris wheel is 4ft

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-time professors in onedepartment. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for eachprofessor. Assume the trend is linear, find the correlation, and comment on what it means.

Answers

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

[tex]r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}[/tex]

Where:

[tex]\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}[/tex]

Now we substitute the values, we get:

[tex]r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}[/tex]

Solving the operations:

[tex]r=0.858[/tex]

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

Find the vertex and write the quadratic function in vertex form.f(x)=x^2−6x+25

Answers

A quadratic equation in its standard formula y = ax² + bx + c, can also be written in the vertex form: y = a(x - h)² + k where the point (h, k) is the vertex of the parabola.

Then, to solve this question, follow the steps below.

Step 01: Find x-vertex.

The x-vertex (h) can be found using the equation:

[tex]h=\frac{-b}{2a}[/tex]

In this equation,

b = -6

a = 1

Then,

[tex]\begin{gathered} h=-\frac{(-6)}{2\cdot1} \\ h=\frac{6}{2} \\ h=3 \end{gathered}[/tex]

Step 02: Substitute x by 3 in the standard form to find y-vertex (k):

[tex]\begin{gathered} y=x^2-6x+25 \\ y=3^2-6\cdot3+25 \\ y=9-18+25 \\ y=-9+25 \\ y=16 \end{gathered}[/tex]

So, k = 16.

Step 03: Substitute the values in the vertex form.

a = 1

h = 3

k = 16

[tex]\begin{gathered} y=a\cdot(x-h)^2+k \\ y=1\cdot(x-3)^2+16 \\ y=(x-3)^2+16 \end{gathered}[/tex]

Answer:

[tex]y=(x-3)^2+16[/tex]

Zeem wants to buy a new cell phone. She has researched and found th following four offers: AT&T $389.99 with a $15.00 discount T-Mobile $400.99 with a $10 mail-in rebate Sprint $379.00 with a 10% discount Straight Talk $400 with a 20% discount Which offer will cost Ms. Zeem the least to buy her phone?

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

AT&T $389.99 ===> $15.00 discount

T-Mobile $400.99 ====> $10 mail-in rebate

Sprint $379.00 ===> 10% discount

Straight Talk $400 ===> 20% discount

Step 02:

Cost

AT&T

389.99 - 389.99*0.15 = 331.49

T-Mobile

400.99 - 10 = 390.99

Sprint

379.00 - 379.00*0.1 = 341.1

Straight Talk

400 - 400*0.2 = 320

The answer is:

Straight Talk it is the lowest cost = $320

I only need the correct answer. This is part one 1 out of 3.

Answers

Part 1

To find the range, we subtract the lowest value from the greatest value, ignoring the others.

So, in this case, we have:

• Lowest value: 20.3

,

• Greatest value: 110.4

[tex]\text{Range = }110.4-20.3=90.1[/tex]

Therefore, the range is 90.1

Part 2

The formula to find the variance is

[tex]\begin{gathered} \sigma^2=\frac{\sum ^{}_{}(x-\mu)^2}{n} \\ \text{ Where} \\ x=\text{ data values} \\ \mu=\text{ mean} \\ n=\text{ number of data points} \end{gathered}[/tex]

The formula to find the mean is

[tex]\mu=\frac{\sum ^{}_{}x}{n}[/tex]

So, as you can see, we first find the mean, and with this value, we find the variance of the data set.

• Mean

[tex]\begin{gathered} \mu=\frac{20.3+33.5+21.8+58.2+23.2+110.4+30.9+24.4+74.6+60.4+40.8}{11} \\ \mu=\frac{498.5}{11} \\ \mu=45.32 \end{gathered}[/tex]

• Variance

[tex]\begin{gathered} \sigma=\frac{(20.3-45.32)^2+(33.5-45.32)^2+(21.8-45.32)^2+(58.2-45.32)^2+(23.2-45.32)^2+(110.4-45.32)^2+(30.9-45.32)^2+(24.4-45.32)^2+(74.6-45.32)^2+(60.4-45.32)^2+(40.8-45.32)^2}{11} \\ \sigma=\frac{(-25.02)^2+(-11.82)^2+(-23.52)^2+(12.88)^2+(-22.12)^2+(65.08)^2+(-12.42)^2+(-20.92)^2+(29.28)^2+(15.08)^2+(-4.52)^2}{11} \\ \sigma=\frac{625.91+139.67+553.10+165.94+489.21+4325.64+207.88+437.57+857.42+227.46+20.41}{11} \\ \sigma=\frac{7960.24}{11} \\ $$\boldsymbol{\sigma=723.66}$$ \end{gathered}[/tex]

Therefore, the variance is 723.66.

find the product enter the product in simplest form. 3/8x6=

Answers

When a fraction is multiplied by an integer, only the numerator has to be multiplied by it. Then:

[tex]\frac{3}{8}\times6=\frac{3\times6}{8}=\frac{18}{8}[/tex]

Write 18/8 in simplest form. To do so, divide both the numerator and the denominator by the greatest common factor. The greatest common factor of 8 and 18 is 2. Then, divide the numerator and the denominator by 2:

[tex]\frac{18}{8}=\frac{18\div2}{8\div2}=\frac{9}{4}[/tex]

Therefore, the answer is:

[tex]\frac{3}{8}\times6=\frac{9}{4}[/tex]

What is the area of a circle with radius of 11 inches? Use pi = 3.14

Answers

We have to find the area of a circle with a radius of 11 in.

We will use the formula for the area of a circle, that is:

[tex]A=\pi\cdot r^2[/tex]

Then, replacing with r=11 and pi=3.14, we get:

[tex]\begin{gathered} A=\pi\cdot r^2 \\ A=3.14\cdot(11\text{ in})^2 \\ A=3.14\cdot121\text{ in}^2 \\ A=379.94\text{ in}^2 \end{gathered}[/tex]

The area of a circle with radius 11 inches is A=379.94 sq in.

just want to know if this is correct(ill include more pictures once the session starts because it doesnt cover all of it)

Answers

We need to have an x-intercept of -5 and a y-intercept of 3

ANSWER

G.

What power of ten makes this statement true? 78,000,000,000 = 7.8 x 10? 0 12 ( 11 0-10

Answers

The given number is 78,000,000,000.

Its scientific expression is

[tex]7.8\times10^{10}[/tex]Hence, the power must have an exponent of 10. C is the answer.

Resolver los siguientes sistemas de ecuaciones, empleando el método analítico algebraico que gustes en cada caso (sustitución, igualación, reducción, determinantes, etc.), solo se te solicita que emplees al menos dos métodos diferentes, a lo largo de este primer ejercicio

3x+2y=1

-x+3y=7

Answers

The solution to the system of equations (x,y) are (-1, 2).

System of Equation

A system of equations is a group of two or more equations with the same variables.

A solution to a system of equations is the values of the variables that make all of the equations in the system true. A solution to a system is also an intersection point of the graphs of the equations in the system.

To solve this problem, we need to find x and y which will give us two solutions to the problem.

3x + 2y = 1 ... equation (i)-x + 3y = 7 ... equation (ii)From equ(ii), make x the subject of formulax = 3y - 7(iii)Substitute equ(iii) into equ(i)3(3y - 7) + 2y = 1Solve the equation above9y - 21 + 2y = 111y - 21 = 111y = 22y = 2Put y = 2 into equ(i) (ii)From equation (i);3x + 2y = 13x + 2(2) = 13x + 4 = 13x = -3 x = -1

The value of x and y are -1 and 2 respectively.

Learn more on system of equation here: https://brainly.com/question/13729904

#SPJ1

Find the equation of the long with slope -2 and that contains the point (-8,-2). Write the equation in the form y=mx+b and identify m and bm=b=

Answers

Using the equation y=mx + b with m=-2 and the point (-8,-2) to find the y-intercept (b), we have:

-2=-2(-8) + b (Replacing the values)

-2= 16 + b (Multiplying)

-18 = b (Subtracting 16 from both sides of the equation)

The answers are:

Equation of the line: y = -2x -18

m= -2

b= -18

A graph artist was painting a logo in the shape of a regular polygon. She measured one of the exterior angle to be 45 degrees. How many sides does this polygon has? What is the name of such polygon?

Answers

We are given a polygon

with exterior angle= 45

sides=?

since the polygon exterior angle is 45

the interior angle is

[tex]180-45=135[/tex]

the only polygon with inner angles equals to 135 is a octagon

other way to find the octagon is as we know that all the exterior angles sum to 360

then

[tex]\frac{360}{45}[/tex][tex]\frac{360}{45}=8[/tex]

The function h(t) = negative 8 * t plus 1000 models the number of gallons of water remaining in a 1,000 - gallons tank after water has been draining for t hours.What is the y- intercept? What does it represent in this problem?

Answers

Given the function :

[tex]h(t)=-8t+1000[/tex]

Where : h is the number of gallons and t is the number of hours

y - intercept is the value of h when t = 0

So, when t = 0

[tex]h(0)=-8\cdot0+1000=1000[/tex]

So, y - intercept = 1000

And it represents the number of gallons at the beginning , which mean the tank is full with its 1000 gallons

3. Observe what is happening to the star in the picture. What would you expect the next star to look like?

Answers

SOLUTION

Consider the image given in the question.

The shaded portion changes in a clockwise direction looking at the image from left to right

The next image will occupy the forth position as in the image below

Therefore the third option is correct (C)

The third picture is the correct answer

Find the unit price.7 tomatoes for $8.75?

Answers

To find out the unit price, divide the total cost by the number of tomatoes

so

$8.75/7=$1.25

therefore

the unit price is $1.25 per tomato
Other Questions
1 The equation y+6= 1/3(x=9) is written in point-slope form. What is the equation written in slope-intercept form? O y= 1/3 x-3 O y= 1/3 x+9 O y= 1/3 x-9 O y= 1/3 x+3 Find the long-term behavior: G(n) = n^2 + n - 4/(n^2 + 3n + 2) Triangle FGH with vertices F(6,6), G(8,8), and H(8,3): (a) Reflection: in the line x = 5 (b) Translation: (x,y) (x - 7, y - 9) If two lines have the same slope and the same y-intercept, must the graphs of the lines be the same? Wins 14 loses, 6 ties, 10,based on your results determine the empirical probability that you will. Win lose and tie Solve for each variable. Attached is a picture of the equation. triangle DEF is formed by connecting the mid points of the side of triangle ABC. The lengths of the sides of DEF are shown. what is the length of BCA. 3 unitsB. 4 unitsC. 6 units D. 8 units The absolute value of a number is the distance of that number from 0 on thenumber line. The expression |x| means the absolute value of x. How does absolutevalue relate to your answer above? write 2 ^(-3) = 0.125 in logarithmic form in the diagram, RP bisects SRQ. if SRP =5x-10 and QRP=3x+20, what is the measure in degrees of SQR Given ABCD, solve for X.Then solve for BC. (5 pts)20.16 - 2xB1212A10 + 8x(#20) on the picture. Hi! Been out due to medical issues. Trying to learn work so help would be appreciated! Thank you so much. The distance between the center of condensation and the center of an adjacent rarefaction is 5 m. If the frequency is 300 Hz, what is the speed of the wave front? Find all values of , if is in the interval [0, 360) and has the given function value. I'm having a problem with the last part of this logarithmic equations I will upload a photo . Ron and Barbara Lugo live in a city where the tax rate is 83.21 mills.The rate of assessment is 30%. The property that the Lugos own hasa market value of $367,500. What is their real estate tax for a year? laws of exponent - divisionsimplify-8st____16st A transformer has an input of 24 V and an output of 36 V. If the input is changed to 12 V what will the output be? QRU and RUT are supplementary. Complete the proof that QSTV. The location of a point moved from 1, -3 to -2, -1 by translation. find the translation rule.