Garrett runs a catering service for large
parties. He needs 27 whole tomatoes for
his salad to feed 120 guests. Write a
proportion which illustrates how many
whole tomatoes, w, he would need to feed
400 guests.

Answer:

4a² +3a

Step-by-step explanation:

4a x a =4a²

3 x a= 3a

Answer: The answer to that question would be 4a^2+3a

Step-by-step explanation:

Multiply using the distributive property.

Search : what's the answer to a(4a + 3)

Answer:

B (-4, 8)
C  (3, 5)
E ( 7, 0 )

Step-by-step explanation:

Text Book

If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.

It is the average distance between each data point and the mean.

The mean of the following data is 509.

{419, 450, 462, 499, 520, 521, 589, 612}

Then the mean absolute deviation (MAD) for the data set will be

[tex]\rm MAD =\dfrac{1}{n}\sum_{i=1}^{n}\left|x_i - \mu \right|[/tex]

We have

μ = 509

n = 8

Then

[tex]\rm MAD =\dfrac{1}{8} \times (|419 - 509| + |450- 509| + ..... + |612 - 509|) \\\\MAD = 51.5[/tex]

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The solid shapes are illustrations of volumes, and there are 1/27 cubic yards in 1 cubic foot

The given shapes are cubes.

So, the volume of each cube is:

V = l³

Where l represents the length of each cube

For the first cube with side length of 1 yard, the volume is:

V = (1 yd)³

Evaluate

V = 1 yd³

For the second cube with side length of 3 feet, the volume is:

V = (3 ft)³

Evaluate

V = 27 ft³

This means that:

1 yd³ = 27 ft³

Let the number of cubic yard in 1 cubic foot be x.

So, we have:

1 yd³ = 27 ft³

x yd³ = 1 ft³

Cross multiply

27 ft³ * x yd³ = 1 yd³ * 1 ft³

Cancel the units

27x = 1

Divide both sides by 27

[tex]x = \frac{1}{27}[/tex]

Hence, there are 1/27 cubic yards in 1 cubic foot

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Answer:

Step-by-step explanation:

Step 1:

Checking for a perfect cube:

Trying to factor by pulling out:

Final result:

Answer:

90/100

Step-by-step explanation:

if you look at the graph on the bottom part it tells you the study time if you line it the left side which says the test score. so if they studied for 80 mins they are expected to have the score of between 85 and 90.

Step-by-step explanation:

This is false as you do not what type of triangle that it is

Answer:

12057.6

Step-by-step explanation:

formula is 3.14*r^2*h/3

The speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].

For the speed of a proton that has been accelerated from rest, we would apply the work-energy theorem:

A proton moves in a circular orbit with a radius of 65 cm that is perpendicular to a uniform magnetic field of magnitude 0.75 T.

The speed of the proton is given by the following formula;

[tex]\rm V=\dfrac{2\pi R}{T}\\\\V=\dfrac{2 \times 3.14 \times 0.65m }{87.4ns}\\\\V =4.7 \times 10^7 \ meter \ per \ second[/tex]

Hence, the speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].

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The graph that represents the solution of y>x²+2 is given below.

The given inequality is y>x²+2.

We need to identify which graph represents the solution of y>x²+2.

Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

For example, this graph shows inequality. This can be seen as there is a dashed line, and the region where the coordinates are less than -1 is shaded.

Graph the inequality by finding the boundary line, and then shading the appropriate area.

Put x=0, 1, 2, 3,....in the inequality and solve for y.

We get y=2, 3, 6, 11,...

The graph that represents the solution of y>x²+2 is given below.

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Answer:

I did it and got it correct

Step-by-step explanation:

Answer:

discriminant(∆) = 0

vertex and intercept labeled on the graph below

NOTE: the x-intercept is the vertex

Step-by-step explanation:

Comparing [tex]y = 25x^{2} - 30x + 9[/tex] with [tex]y = ax^{2} − bx + c[/tex]

Thus,

a=25 b = -30 and c = 9

[tex]discriminate (d) = b^{2} - 4ac\\d = (-30)^{2} - 4(25)(9)\\[/tex]

the ' - ' when squared becomes '+'

d = 900 - 900

d = 0

Thus, the value of discriminant(∆) is 0

The value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have the integral:

[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA[/tex]

Where,  r = (x, y) | x2 y2 ≤ 49, x ≥ 0

The polar coordinate will be:

x = rcosθ

y = rsinθ

Where x²+y²= r²

Put the value of x and y in the integral, and the limits will be:

r²≤49 or 0≤r≤7, -π/2≤θ≤π/2  ( since x ≥0)

dA = rdrdθ

[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \int\limits^{\dfrac{\pi}{2}}_{\dfrac{-\pi}{2}} \int\limits^7_0 {\sqrt{49-r^2]} \, rdrd\theta[/tex]

After solving the double integration, we will get:

[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \dfrac{343}{3} \pi[/tex]

Thus, the value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0

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Answer:

(x, y ) → (x - 4, y + 8 )

Step-by-step explanation:

4 units left in the x- direction means subtract 4 from the x- coordinate

8 units up in the y- direction means add 8 to the y- coordinate

Then the translation rule is

(x, y ) → (x - 4, y + 8 )

Answer:

7.4161984871

Step-by-step explanation:

7.4161984871x7.4161984871=55

Answer:

3025

Step-by-step explanation:

===========================================================

Explanation:

The proof of this is as follows

p, q, r and s are integers

q and s cannot be zero

A = some rational number = p/q

B =  some other rational number = r/s

A*B = (p/q)*(r/s) = (p*q)/(r*s)

The result is of some form integer/integer, where the denominator is nonzero. This shows that A*B is rational.

Therefore,

rational*rational = rational

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

A few examples:

Side note: any whole number is a rational number. For instance, the number 7 can be thought of as the fraction 7/1 or 14/2 or 21/3 and so on.

Answer:

x = 11

Step-by-step explanation:

282/2 = 141

180 - 141 = 39

4x - 5 = 39

4x = 44

x = 11

Step-by-step explanation:

4(x+3) -7 >= x + 3 (x +1 )

4x + 12 - 7 >= x + 3x + 3

4x - x - 3x >= 3 - 12 + 7

0 >= -2

hey I have done this according to logic if your school has a method please follow that also m not sure if my answer is correct hope it helps though.

Answer:

[tex]\frac{43}{46}[/tex]

Step-by-step explanation:

3 out of 46 rows are going to win, meaning that 43 out of 46 rows are not going to win

Make that a fraction:

[tex]\frac{43}{46}[/tex]

Answer:

9.42 i think

Step-by-step explanation:

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].

We can then input the value and we get that [tex]C=3*\pi[/tex] which then just narrows down to [tex]C=9.425[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

about 89.91 cubic cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi( {3}^{2} ) \sqrt{ {10}^{2} - {3}^{2} } [/tex]

[tex] \frac{1}{3} \pi(9) \sqrt{100 - 9} [/tex]

[tex]3\pi \sqrt{91} = 89.91[/tex]

Answer:

√55

Step-by-step explanation:

Using the Pythagorean Theorem:

3 squared equals 9, and 8 squared equals 64. 64-9=55.

5543 rhinos.

present population: total population(100% + increased percentage)

Based on the information, insert following :

Black Rhinos = 2410(100% +130%) = 2410(230%) = 2410(2.3) = 5543

Answer:

90*

Step-by-step explanation:

The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.

Let us learn more about the x-intercept along with its formula and examples.

In the linear equation, we read that the general form is represented as y = mx + b, where m and b are constants. The x-intercept is the point or the coordinate from where the line crosses and that lies at the x-axis of the plane. This means the y-coordinate value of the respective linear equation will always be equal to 0 when it crosses the x-axis. For x-intercept, the y-coordinate is zero and for the y-intercept, the x-coordinate is zero. the x-intercept is also known as horizontal intercept.

There are various formulas and equations associated with intercepts. Below listed are a few general formulas mostly used. All these formulas are derived by substituting y = 0 in the equation and solving for x.

To find the x-intercept of a line of the form y = mx+b, substitute y = 0.

Example: To calculate the x-intercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line.

Solution:

0 = 2x−4

4 = 2x

2 = x

So, the x-intercept of the line y=2x−4 is 2

Similarly, by substituting x = 0, we can find the y-intercept

y = 2(0)−4

y= -4

Answer:

20ft

Step-by-step explanation:

circumference of a circle in terms of diameter has the formular

C = πd

63 = 3.142×d

d= 63/3.143=20.050

diameter= 20ft

Answer:

i think its x

Step-by-step explanation:

it looks simple yet intimidating

The sampling technique that was used in the situation is (d) Simple Random Sampling

From the question, we understand that all people that visited the kiosk were asked the same question.

The people that visited the kiosk have equal chance of being selected.

This type of selection or sampling is a simple random sampling

Hence, the sampling technique that was used in the situation is (d) Simple Random Sampling

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