The ratio of soccer balls to basketballs at Andrew’s school is shown on the ratio table. What number completes the ratio table to make an equivalent ratio? [Type your answer as a number.]

soccer balls 30 ?
basket balls 25 5

Answer:

20 + r = 42

Step-by-step explanation:

Let r = the number of hats Rachel has made

Melissa's hats + Rachel's hats = total hats

20 + r = 42

To make an equation on how many Rachel made, we can just add.

20 + h = 42

Solve for h.

20 + h = 42

~Subtract 20 to both sides

h = 22

Best of Luck!

Answer:

D is the answer (31.05)

Step-by-step explanation:

2.07×15 is 31.05

A Voronoi diagram is a division of a plane into areas near each of a given set of objects in mathematics. These things are just infinitely many points in the plane in the simplest scenario (called seeds, sites, or generators). There is a region, known as a Voronoi cell, for each seed that is made up of all points in the plane that are closer to that seed than to any other point. A set of points' Voronoi diagram and Delaunay triangulation are identical.

We are aware that any intersection of half-planes results in a convex region bordered by a collection of linked line segments. Voronoi edges are the line segments that define the limits of Voronoi regions. These edges' termini are known as Voronoi vertices.

Voronoi diagram:

A Voronoi diagram in mathematics is a division of a plane into areas near to each of a given set of objects. These things are simply infinitely many plane points in the most basic scenario (called seeds, sites, or generators).

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Answer: the probability would be 1:5

Step-by-step explanation: since there are 2 m you would put that on top and divide it by all the others and there are 10 of them and then simplifie it and get the answer

Answer:

P ( not M)= 4/5

Step-by-step explanation:

We want to find the probability that if a card is chosen, it does not have the letter M on it.

The probability can be found by creating a fraction with the number of cards that do not have M over the total number of cards.

P (not M) = cards without M / total cards

The word complement has 10 letters, therefore there is a total of 10 cards.

P (not M) = cards without M/ 10

There are 2 cards with an M. That will leave 8 cards without an M. (10 total cards - 2 cards with M= 8 cards without M).

P (not M)= 8/10

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

P (not M)= (8/2) / (10/2)

P (not M)= 4/ (10/2)

P (not M) = 4/5

The probability of choosing a card without the letter M on it is 4/5

Answer:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.

Step-by-step explanation:

When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line  to match up with with the points on the opposite side

Answer:

4

Step-by-step explanation:

Have a nice day!

Answer:

?= 35.66º

Step-by-step explanation:

26/32=0.8125

cos 35.66º=0.8125

Answer:

? = 36 degrees

Step-by-step explanation:

Use trigonometry!

since we know the adjacent and hypotenuse sides, use cos.

cos(?) = adjacent/hypotenuse = 26/32

? = arccos(26/32)

? = 35.659

Rounding it up, we get.

? = 36 degrees

Answer:

\(unit \: rate = \frac{distance}{time} \\ \)

substitute:

\(unit \: rate = \frac{( \frac{1}{3} ) }{( \frac{1}{9}) } \\ \\ = \frac{1}{3} \div \frac{1}{9} \\ \\ = \frac{1}{3} \times 9 \\ \\ = { \underline{ \: \: 3 \: miles \: per \: hour \: \: }}\)

Answer:

f(1)=1

Step-by-step explanation:

f(1) is talking about the x point. this point correlates with the y axis at (1,1). this makes the answer f(1)=1

The power series is convergent at radius R = 1/L.

In this question, the goal is to find a power series solution to the given ODE with a radius of convergence centered at the value x = a.

Without solving the ODE directly, we have the information that:

To obtain a power series solution for the given ODE centered at x = a, we can substitute

y(x) = ∑(n=0)∞ c_n(x-a)^n

into the ODE, where c_n are constants.

Then we can differentiate the series term by term and substitute the resulting expressions into the ODE.

Doing so, we get a recurrence relation involving the constants c_n that we can use to find the coefficients for the power series.

In order to obtain the radius of convergence R, we can use the ratio test, which states that a power series

∑(n=0)∞ a_n(x-a)^n is absolutely convergent if

lim n→∞ |a_{n+1}|/|a_n| = L exists and L < 1.

Moreover, the radius of convergence is R = 1/L.

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The critical point of f at z = 1 is a local minimum.

To find the critical points of the function f(z, 3) = 4z^2 - 8z + 1, we need to find the values of z where the first partial derivatives with respect to z are equal to zero. Let's solve it step by step.

Take the partial derivative of f with respect to z:

∂f/∂z = 8z - 8

Set the derivative equal to zero and solve for z:

8z - 8 = 0

8z = 8

z = 1

The critical point of f occurs when z = 1.

To determine whether the critical point is a local minimum, local maximum, or a saddle point, we can use the second partial derivative test. We need to calculate the second partial derivative ∂²f/∂z² and evaluate it at the critical point (z = 1).

Taking the second partial derivative of f with respect to z:

∂²f/∂z² = 8

Evaluate the second derivative at the critical point:

∂²f/∂z² at z = 1 is 8.

Analyzing the second derivative:

Since the second derivative ∂²f/∂z² = 8 is positive, the critical point (z = 1) corresponds to a local minimum.

Therefore, the critical point of f at z = 1 is a local minimum.

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To complete the square for the expression x² + 11x, we need to find a term that, when added to the expression, creates a perfect square trinomial.

To complete the square, we take half of the coefficient of the x-term, square it, and add it to both sides of the equation. In this case, the coefficient of x is 11, so half of it is 11/2, and when squared, it becomes 121/4. Adding 121/4 to both sides of the equation, we have x² + 11x + 121/4 = x² + 11x + 121/4. Now, the left side of the equation can be factored as a perfect square trinomial, which is (x + 11/2)².

Therefore, the complete square form of x² + 11x is (x + 11/2)².To complete the square for a quadratic expression in the form x² + bx, we take half of the coefficient of the x-term, square it, and add it to both sides of the equation. The result is a perfect square trinomial. In the given expression x² + 11x, the coefficient of x is 11. Half of 11 is 11/2, and when squared, it becomes 121/4.

By adding 121/4 to both sides of the equation, we create a perfect square trinomial on the left side. The expression x² + 11x + 121/4 can be factored as (x + 11/2)². Therefore, the complete square form of x² + 11x is (x + 11/2)².

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Answer:

3 1/2 if you need decimal then 3.5

Step-by-step explanation:

sorry if wrong

but tell me if I am correct

Answer:

15°, 16°, 46°, 59°

Step-by-step explanation:

1.) so the entire angle is 89°, then you take off the 44° and the 30°

89° - 44° - 30° = 15°

So the answer to 1 is x = 15°

2.) 90° - 74° = 16°

3.) 180° - 134° = 46°

4.) the angles are vertical, so they're equal:

x = 59°

hope this helps:)

The coordinates of point T' is (2, -2)

A dilation is a transformation that changes the size of a figure but not its shape.

In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.

In this case, the point T (3, -3) is transformed under a dilation of 2/3 with respect to the origin.

So the image point is (kx, ky) = (3 * 2/3, -3 * 2/3) = (2, -2)

So the image point of T under a dilation of 2/3 with respect to the origin is (2, -2)

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Answer:

C

Step-by-step explanation:

The first point would be (-3,-4) which means A and D are eliminated.

The second point is (-2,2) which means you are left with C which is the correct answer

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Therefore , the solution of the given problem of graphs comes out to be  graph of y  = 2ˣ .

Graphs are used by theoretical physicists to visually or analytically vertices chart assertions rather than values. Typically, a graph point shows the relationship between several different objects. A graph is a particular kind of  train assembly consisting of groups and lines. The networks, also known as the borders, should be joined with glue. The edges of this network had the digits 1, 2, 3, and 4, along with the numerals (2.5), (3.5),

Here,

y =  logₐ(x); logarithmic function (x)

The matching points that must appear on the graph x = bx can be found using the procedure below.

Step 1: In the equation  

=> x = bˣ

=> 2= b¹

=> b =2

replace (2,1) with the value of x and y.

Step 2: Now change the number of b in the equation to make

=> y = 2ˣ

Step 3: The above equation becomes y=2 at (x = 1).

Step 4 - The equation (2) becomes: at (x = 2)

Step 5 - The equation (2) becomes: y = 16 at (x = 4)

The graph of y  = 2ˣ

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Answer:

if you're talking about renaming it in word form it would be a six hundred- thousand or is you're doing it in an equation its gonna be (6x10) x (10x1000)

Step-by-step explanation:

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

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To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

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These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

Based on the given options, the scenario that would result in zero Phillipe earned $45 for doing landscaping and spent $45 at the mall.

The scenario that gives a zero is the one that ends up in zero as a result of a reversal in the earlier activity.

From the given option, the scenario that will result in a zero is Phillipe earning money from landscaping.

The money that was earned was all spent at the mall. The result is:

= 45 earned - 45 spent

= $0

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Answer:

a=1

b= 1/16

c=1/256

Step-by-step explanation: took edge

To solve the given problem we will use the equation for the circumference as a function of the radius:

Substituting the given values, we have:

From the solution developed above, we are able to conclude that the circumference of the given circle is C = 56.52 cm

student can answer the questions on the test in 16,384 different ways if they answer every question.

To determine the number of ways a student can answer the questions on a multiple-choice test containing 7 questions with four possible answers for each question, we will use the multiplication principle. The multiplication principle states that if there are a number of independent choices, then the total number of possible outcomes is the product of the number of choices.
Identify the number of questions and possible answers. In this case, there are 7 questions and 4 possible answers for each question.
Calculate the number of ways to answer each question. Since there are 4 possible answers for each question, there are 4 ways to answer each of the 7 questions.
Apply the multiplication principle. To find the total number of ways to answer all 7 questions, multiply the number of ways to answer each question:
Total number of ways = (4 ways for question 1) x (4 ways for question 2) x ... x (4 ways for question 7)
Perform the calculation. Since there are 7 questions and 4 ways to answer each question, the total number of ways is:
Total number of ways = 4^7 = 16,384

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To apply Green's Theorem, we need to find the curl of the vector field F and the boundary curve C. ∫C F · dr = ∫(2π to 0) ∫(3 to 0) -9(sin(y)cos(t)sin(t) + (1 + sin(y))cos(t)sin(t)) dt dr. This integral can be evaluated numerically using appropriate numerical methods or software.

Green's Theorem states that the line integral of a vector field F around a simple closed curve C is equal to the double integral of the curl of F over the region enclosed by C.

First, let's find the curl of F(x, y) = (y - cos(y), x sin(y)):

∇ × F = (∂/∂x, ∂/∂y, ∂/∂z) × (y - cos(y), x sin(y))

       = (∂/∂x (x sin(y)), ∂/∂y (y - cos(y)), ∂/∂z)

Now, let's calculate the partial derivatives:

∂/∂x (x sin(y)) = sin(y)

∂/∂y (y - cos(y)) = 1 + sin(y)

Therefore, the curl of F is given by:

∇ × F = (sin(y), 1 + sin(y), ∂/∂z)

Now, we need to find the boundary curve C, which is the circle (x - 4)² + (y + 3)² - 9 = 0, oriented clockwise.

The equation of the circle can be rewritten as:

(x - 4)² + (y + 3)² = 9

This is the equation of a circle with center (4, -3) and radius 3.

To orient the curve C clockwise, we need to reverse the direction of the parameterization. We can use the parameterization:

x = 4 + 3cos(t)

y = -3 + 3sin(t)

where t goes from 2π to 0 (in reverse order).

Now, let's calculate the line integral using Green's Theorem:

∫C F · dr = ∬R (∇ × F) · dA

where R is the region enclosed by the curve C and dA is the differential area.

Using the polar coordinate transformation:

x = 4 + 3cos(t)

y = -3 + 3sin(t)

and the Jacobian determinant:

dA = dx dy = (3cos(t))(-3sin(t)) dt dt = -9cos(t)sin(t) dt

The limits of integration for t are from 2π to 0.

Now, let's calculate the line integral:

∫C F · dr = ∬R (∇ × F) · dA

          = ∫(2π to 0) ∫(3 to 0) (sin(y), 1 + sin(y), ∂/∂z) · (-9cos(t)sin(t)) dt dr

Simplifying the integral, we have:

∫C F · dr = ∫(2π to 0) ∫(3 to 0) -9(sin(y)cos(t)sin(t) + (1 + sin(y))cos(t)sin(t)) dt dr

This integral can be evaluated numerically using appropriate numerical methods or software.

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The p-value of 0.5 indicates that Jack and Jill's data is not statistically significant. They do not have enough evidence to reject the null hypothesis. Therefore, the correct answer is "Jack and Jill find that these data are not statistically significant."

In hypothesis testing, the p-value represents the probability of obtaining the observed data or more extreme results if the null hypothesis is true. A p-value of 0.5 means that there is a 50% chance of observing the data or data more extreme than what they have obtained, assuming that the null hypothesis is true. Since this probability is relatively high (above commonly chosen significance levels like 0.05 or 0.01), it suggests that the observed results are likely due to random chance rather than a true difference or relationship.

Hence, Jack and Jill should not conclude that there is a significant effect or difference based on this p-value. They may need to consider alternative explanations or further investigate the research question using different methods or analyses. Conducting an ANOVA test or a dependent-samples t-test in SPSS might be appropriate if their study design and research question require those specific analyses.

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Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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