What is the radius of this circle?​

Answer:

C

Step-by-step explanation:

The table below shows the cost per pound of different vegetables.

Prices of Vegetables

Vegetable

Cost (per pound)

Potatoes

$3.89

Squash

$4.68

Carrots

$1.67

Cucumbers

$2.59

What is the estimated cost for 7.8 pounds of potatoes?

$16

$24

$32

$40

Answer:

(C) $32

I just did the test

Answer:

x= 3

Step-by-step explanation:

∠RTS +∠RST= ∠QRT (ext. ∠ of △RST)

(25x)° +(57 +x)°= (45x)°

25x° +x° +57°= 45x°

26x° +57°= 45x°

45x° -26x°= 57°

19x°= 57°

x°= 57° ÷19

x°= 3°

∴ x= 3

Alternatively, find the measure of the angle RST using ∠ sum of triangle then find ∠QRT using adjacent angles on a straight line. Equate this value to 45x and solve for x.

The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The coordinates of the first point = (2, -10)

Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal

Here the first point is (2, -10)

The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative

The points with same x coordinates = (2, -9)

The points with same y coordinates = (10, -10) and (7, -10)

Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The complete question is

Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)

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Answer:

m = 5/2

Step-by-step explanation:

The slope is rise/run or (y2 - y1) / (x2 - x1)

The y decrease by 5, and the x decrease by 2, so the slope is

-5/-2 = 5/2

So, m = 5/2

Hello!

We are going to find the slope of the line that passes through our given points: (8, 9) and (6, 4).

To find the slope, we will use the slope formula, which states:

m = (y2-y1)/(x2-x1)

Our variables in the formula are given by the coordinates that we know.

(x1, y1)

(8, 9)

And

(x2, y2)

(6, 4)

Solve:

Plug in the coordinates into the correct variable and solve:

m = (y2-y1)/(x2-x1)

m = (4 - 9)/(6 - 8)

m = -5/(6 - 8)

m = -5/-2

Simplify:

m = 5/2

Therefore, the slope of the line is 5/2.

Answer:

5/2

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Answer:

−35.948187

Step-by-step explanation:

Answer:

$88

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify

P = 80

r = 2% = 0.02

t = 5

Step 2: Find Interest

Answer:

x=3, y= -4

Step-by-step explanation:

Answer: 9 cups of food

Step-by-step explanation:

First find out the amount of food that one puppy eats per day.

Each puppy eats 0.5 cups of food three times a day which means that in total they eat:

= 0.5 * 3

= 1.5 cups of food.

There are 6 puppies in the litter so the total amount of food they eat is:

= 1.5 * 6 puppies

= 9 cups of food

The rate at which the tree will grow in just 1 year would be = 3ft/year.

The quantity of tree that grows in 1/12 year = 1/4 ft

The quantity of tree that will grow in 1 year = X ft.

That is;

1/12 years = 1/4ft

1 year = X

Make X the subject of formula;

X= 1/4÷1/12

X = 1/4×12/1

X = 3 ft

Therefore, the rate at which the tree will grow in just 1 year would be = 3 ft/year.

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The given equation is

When the equation is in slope-intercept form, the coefficient of x is the slope. So, the slope of the given equation is 6.

It is important to know that parallel lines have equal slopes.

t-distribution in the bank or restaurant to get the customer arrival time is a b) normal distribution.

The t-distribution is defined by degrees of freedom. These are related to sample size. The t distribution is most useful when the sample size is small, the population standard deviation is unknown, or both. As the sample size increases, the t-distribution will become more normal.

The t distribution is the continuous probability distribution of z scores when the estimated standard deviation is used in the denominator instead of the true standard deviation. The purpose of the t-test is to compare a specific characteristic that describes the groups, and the means will be representative of the populations that are normally distributed.

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Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

The function we have is:

The steps to find the inverse function are:

Step 1. Solve for x.

In this case, we solve for x by dividing both sides of the equation by 4:

Step 2. Change f(x) for x, and x for the inverse function f^-1(x):

If we call this inverse function h(x) we get the result:

The vertex of the graph of the function f(x) = |x - 8| - 3 is at the point (8, -3).

The vertex of the graph of the function f(x) = |x - 8| - 3 is the point where the graph reaches its minimum or maximum value. In this case, the function f(x) = |x - 8| - 3 is a "V-shaped" graph, which means that it has a minimum value at its vertex.

To find the vertex of this function, we can rewrite it in the form f(x) = a(x - h)^2 + k, where (h, k) is the coordinates of the vertex. To do this, we can complete the square:

f(x) = |x - 8| - 3

f(x) = (x - 8)^2 - 3

f(x) = x^2 - 16x + 16 - 3

f(x) = x^2 - 16x + 13

Thus, the vertex of the graph of the function f(x) = |x - 8| - 3 is at the point (8, -3).

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Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Please check the photo.

Answer:

No.

Step-by-step explanation:

An input can't have 2 outputs. But, an output can have an 2 inputs.

Hope this helped!

Answer:

i think it's 13

Step-by-step explanation:

perimeter is L+ L+W+W

27+27=54

80-54=26

26/2=13

Answer:

\(22^\circ + m\angle C = 90^\circ\)

Step-by-step explanation:

Pre-Solving:

We are given that \(\angle A\) (which is equal to 22°) and \(\angle B\) are vertical angles, and that \(\angle B\) is complementary to \(\angle C\).

We want to write an equation that will help us solve \(\angle C\).

Solving:

Recall that vertical angles are congruent by vertical angles theorem.

This means that \(\angle A \cong \angle B\); it also means that the measure of \(\angle B\) is also 22°.

Also recall that complementary angles add up to 90°.

This means that \(m\angle B + m\angle C = 90^\circ\).

Since we deduced that \(m\angle B\) is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for \(\angle C\) is:

\(22^\circ + m\angle C = 90^\circ\)

Answer:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

Step-by-step explanation:

∠A and ∠B are vertical angles. (Given)

By definition of vertical angles, a pair of angles with the same vertex and that are on opposite sides of two intersecting straight lines are congruent.

It is given that ∠A is 22°, and is a vertical angle with ∠B.

∴ ∠A ≅ ∠B (Definition of Vertical Angles).

IF m∠A = 22° and ∠A ≅ ∠B, THEN m∠B = 22° (Transitive Property of Equality).

∠B is complementary with ∠C (Given)

m∠B + m∠C = 90° (given).

m∠B = 22° (⇒Transitive Property of Equality)

Plug in 22 for m∠B in the given equation:

22 + m∠C = 90

Isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 22 from both sides of the equation:

m∠C + 22 (-22) = 90 (-22)

m∠C = 90 - 22

m∠C = 68°

~

Therefore, your system of equation will be:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

~

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Answer:

i dont understand

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

write the question down exactly how you read it.

the equation is, 25 + (4x) = 109 - (2x)

subtract 25 from 109 and you'll end up with

4x = 84 - 2x

add 2x to 4x and then you will have 6x =84

divide 84 by 6 and you'll end up with 14 = x

14 is the answer

SOLVING THE WITHOUT WORDS:

25 + (4x) = 109 - (2x)

-25. -25

4x = 84 - 2x

+2x. +2x

6x = 84

6/ 6/

x = 14

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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Answer:

The mean of 2 4 6 8 is 6

bc Means is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Step-by-step explanation:

Hope this helps :)

A mean is an arithmetic average of a set of observations. The mean of 2, 4, 5, 6, and 8 is 5.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean of 2, 4, 5, 6, and 8 can be written as,

Mean = (2+4+5+6+8)/5 = 25/5 = 5

Hence, the mean of 2, 4, 5, 6, and 8 is 5.

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Answer:

80.25

Step-by-step explanation:

So, there are 3 more "parts" of students than of adults (5 - 2), right?

Those 3 parts are made up of 12 people.

12/3 = 4 people per part

2(4) = 8 adults

5(4) = 20 students

Answer:

2/5=8

Step-by-step explanation: