1. Priya can bike 150 meters in 20 seconds.

At this rate, how long would it take her to bike 3,000 meters?

What is her unit rate?

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

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Answer:

d) 73 m

Step-by-step explanation:

From the Question, we are told that:

Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?

The area of a triangle = 1/2 × Base × Height

We are already told the base of the triangle from the question and this is 73 m

Option D, 73 m is the correct answer

Answer:

= 3y-2x+18=0

Step-by-step explanation:

Gradient (m) = -2/3

The equation of the line is given by the formula

\( = \frac{y - y1}{x - x1} = m\)

Point = (6,-10)

y1 = -10

x= 6.

note// y and x were not given .

=

\( = \frac{y - ( - 10)}{x -6} = \frac{ - 2}{3} \\ = \frac{y + 10}{x - 6} = \frac{ - 2}{3} \\ = 3(y + 10) = - 2(x - 6) \\ = 3y + 30 = - 2x + 12 \\ = 3y = - 2x + 12 - 30 \\ = 3y = 2x - 18 \\ = 3y - 2x + 18 = 0\)

therefore the equation of the line = 3y-2x+18=0

Answer:

slope = - 3

Step-by-step explanation:

The slope m of the line is calculated as

m = \(\frac{rise}{run}\) = \(\frac{-6}{2}\) = - 3

Answer:

\(UV = 10\)

Step-by-step explanation:

Given

\(TU : UV : VW = 2 : 5 : 5\)

\(TW = 24\)

Required

Determine UV

From the given parameters, we have that:

Ratio of TU = 2

Ratio of UV = 5

Ratio of VW = 5

First, we have to add up the total ratio;

Total = Ratio of TU + Ratio of UV + Ratio of VW

\(Total = 2 + 5 + 5\)

\(Total = 12\)

Next is to calculate the length of UV; as follows;

\(UV = \frac{Ratio\ of\ UV}{Total\ Ratio} * TW\)

Substitute 5 for Ratio of UV;  12 for Total Ratio and 24 for TW

\(UV = \frac{5}{12} * 24\)

\(UV = \frac{5 * 24}{12}\)

\(UV = \frac{120}{12}\)

\(UV = 10\)

Hence; length of UV is 10 units

The possible values of the number of quarters are at least 14 and more.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

1 dime = $0.10

1 quarter = $0.25

Number of dimes = x

Number of quarters = y

Now,

He has at most 25 coins worth at least $4.60 combined.

This means

we can write two inequalities.

x + y ≤ 25 ____(1)

0.10x + 0.25y ≥ 4.60 _____(2)

Now,

From (1) and (2).

x ≤ 25 - y

Substituting in (2).

0.10x + 0.25y = 4.60

0.10 (25 - y) + 0.25y ≥ 4.60

2.5 - 0.10y + 0.25y ≥ 4.60

2.5 + 0.15y ≥ 4.60

0.15y ≥ 4.60 - 2.5

0.15y ≥ 2.1

y ≥ 2.1/0.15

y ≥ 14

This means,

y is at least 14.

Thus,

The possible values of the number of quarters are at least 14 and more.

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By fractions, 9/20 quarts of lemonade concentrate is needed to make lemonade for 24 people.

What are the names of fractions  numerical expression in mathematics known as a quotient, where a numerator and a denominator are split in half. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator of a proper fraction is less than the denominator.

Let x= the number of quarts of lemonade concentrate needed for 24 people. In this question " 20/3 quarts of water" was unnecessary information.

40x=24*(3/4)​

Cross products

x=24⋅ (3/4) ⋅ (1/40)= 9/20

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The equation of the major axis of y = 1 / x would be y = x and y = -x.

The equation y = 1/x constitutes a rectangular hyperbola. Not like ellipses possessing broadly characterized principal axes, no finite line exists representing the major axis of the given hyperbola.

This is due to the symmetrical relationship around both x- and y-axes where its core remains positioned at (0, 0). In place of a definite line, the asymptotes operate in replaceable fashion, defined as the lines y = x and y = -x, which are values approached at near limit by this specific hyperbola yet never collided with.

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Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer: A-Bottura cooks food that would be

wasted and serves it to people

Step-by-step explanation: hope this help

At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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Answer:

marvel - c

dc - d

Answer:

marvel c dc c

Step-by-step explanation:

The sum of the given vectors is (-4i + 2j + 4k) and its magnitude is 6.

What is Add-ition of vec-tors?

Vectors are written with an alphabet and an arrow over them (or) with an alphabet written in bo-ld. They are represented as a mix of direction and magnitude. Vector addition can be used to combine the two vectors a and b, and the resulting vector is denoted by the symbol a + b.

What is Magni-tude of vec-tors?

A vector's magnitude, represented by the symbol Mod-v, is used to determine a vector's length. The distance between the vector's beginning point and endpoint is what this amount essentially represents.

As given vectors are,

u = -2i + 2j + k and v = -2i + 0j + 3k

Addition of vectors u and v is,

u + v = (-2i + 2j + k) + (-2i + 0j + 3k)

u + v = -4i + 2j + 4k

Magnitude of Addition of vectors u and v is,

Mod-(u + v ) = √ [(-4)² + (2)² + (4)²]

Mod-(u + v ) = √ [16 + 4 + 16]

Mod-(u + v ) = √ (36)

Mod-(u + v ) = 6

Hence, the sum of the given vectors is (-4i + 2j + 4k) and its magnitude is 6.

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Answer:

The right option is option e.T-shaped.

Step-by-step explanation:

The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs

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Option e) T-shaped

The shape or molecular geometry  of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.

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The thing that will be always true about quadrilateral ABCD is C. m∠A+m∠B=180°

The coordinates of the center of the circle is B. (6, 4)

Based on the fact that opposite angles in an inscribed quadrilateral are always equal, then m∠A+m∠B=180°. As a result, ∠A + ∠C = 180 degrees and likewise for ∠B + ∠D = 180 degrees.

The intersection of the two lines, namely, the perpendicular bisector of AB (passing through midpoint (6, 3.5) with a slope -12/7) and the vertical line whose undefined own slope penetrates the midpoint (6, 0) of AC, is exactly the center of circle, which has its coordinates as (6, 4).

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The mean of the given distribution is 1.596

To find the mean of a distribution, you need to multiply each value by its corresponding probability, then sum up the products.

Given the distribution:

x    p(x)

0    0.130

1    0.346

2    0.346

3    0.154

4    0.024

To calculate the mean, you perform the following calculation:

Mean = (0 * 0.130) + (1 * 0.346) + (2 * 0.346) + (3 * 0.154) + (4 * 0.024)

Mean = 0 + 0.346 + 0.692 + 0.462 + 0.096

Mean = 1.596

Therefore, the mean of the given distribution is 1.596.

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Answer: All real numbers are solutions

Step-by-step explanation:

first lets distributive the 2(4x+1) to get 8x+2 because 2*4x= 8x and 2*1= 2

now the equation is 8x+2-5x+2= 3x+4

(COMBINE LIKE TERMS)

8x-5x=3x

2+2= 4

now the equation is 3x+4= 3x+4 (this means all real nubers are solutions)

Answer: 18,086.4 cubic units

Step-by-step explanation:

the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

In order to reach the leaves of the trees, one would need to travel along the trunk and branches of the tree, and then climb up the leaves.

In order to reach the leaves of a tree, one would have to take a pathway that begins at the base of the tree. This pathway would involve climbing up the trunk of the tree, and then making their way through the branches until they reach the leaves. Depending on the size of the tree, this may require some climbing skills, or the use of special equipment. The branches of the tree provide the necessary pathways to the leaves, and the leaves themselves can be used as footholds to help with the climb. Once the leaves are reached, it is possible to survey the environment and take in the beauty of the tree. With a little bit of courage and determination, reaching the leaves of a tree is a rewarding experience.

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Answer:

Step-by-step explanation:

Volume of the prism is the product of its base area and height

Find base area:

Area of the trapezoid:

Substitute given values and solve for h:

Find area of base

Now

Height of trapezoid base be x

Answer:

Step-by-step explanation:

First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

The first mistake McKenna made when change the expression to standard form is in step 2.

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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Step-by-step explanation:

r>-18 is the answer to your problem

The given function [cos(7y) cos (3y) - sin (7y) sin (3y)] is equal to cos(10y) as per trigonometric identities.

"Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle."

Given, trigonometric function is: cos(7y) cos (3y) - sin (7y) sin (3y)

We know, cos(A + B) = cos(A) cos(B) - sin(A) sin(B)

Therefore, cos(7y) cos (3y) - sin (7y) sin (3y)

= cos(7y + 3y)

= cos(10y)

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There are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

To find out how many of the desserts with yogurt also include fruit, we need to use the concept of intersection in set theory. We can create two sets: one for desserts with yogurt and another for desserts with fruit.

The set of desserts with yogurt has 8 elements, and the set of desserts with fruit has 7 elements. We can represent these sets as follows:

Y = {yogurt desserts} = {1, 2, 3, 4, 5, 6, 7, 8}
F = {fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

Now we need to find the intersection of these sets, i.e., the desserts that have both yogurt and fruit. To do this, we can count the number of elements in the set Y ∩ F:

Y ∩ F = {yogurt and fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

So there are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

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Answer:

60%

Step-by-step explanation:

La tabla relacionada con la pregunta se puede encontrar en la imagen adjunta a continuación:

Responder:

70%

Explicación paso a paso:

probabilidad de seleccionar aleatoriamente a un participante que haya obtenido entre 71 y 85 puntos:

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = Sumando la frecuencia para obtener el número total de estudiantes = (9 + 12 + 12 + 18 + 9) = 60 estudiantes

Resultado requerido:

Clase :

(71 - 75) = frecuencia = 12

(76 - 80) = frecuencia = 12

(81 - 85) = frecuencia = 18

Total = (12 + 12 + 18) = 42 = resultado requerido

Por tanto, P = 42/60 = 0,7 = (0,7 * 100%) = 70%

The lengths of the legs of a right triangle, where one acute angle measures 65 degrees and the hypotenuse measures 12, are approximately 10.88 and 5.07.

To find the lengths of the legs of a right triangle, we can use the trigonometric functions sine and cosine. Since we know one acute angle and the hypotenuse, we can use the following formulas:

sin(65) = opposite/hypotenuse

cos(65) = adjacent/hypotenuse

Plugging in the known values and solving for the unknowns, we get:

sin (65) = opposite/12

opposite = 12sin (65) ≈ 10.88

cos (65) = adjacent/12

adjacent = 12cos (65) ≈ 5.07

Therefore, the lengths of the legs of the right triangle are approximately 10.88 and 5.07.

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