Which expression is equivalent to 28x – 17?
A. -7 (-4x - 10)
B. − 3 ( − 10 x + 3 ) − 2 ( x + 12 )
C. 1 4 ( − 8 x + 4 ) − 6 ( − 5 x + 3 )
D. 1 2 ( 60 x − 10 ) − 2 ( x − 6 )-
Please help!!

Answer:0.5

Step-by-step explanation:

A probability model gives information about the likelihood of different outcomes of a random event or experiment.

A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.

Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.

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The distance between the starting point and obstacle 2 is 10 units.

How to solve a right triangle?

To clarify, we have a right triangle with legs of length 6 and 8, with the right angle at the point (0, -6). Obstacle 1 is the line segment from (0, -6) to (-6, 8), and obstacle 2 is the point (0, 0).

The distance between the starting point and obstacle 2 is the length of the hypotenuse of the right triangle with legs of length 6 and 8. We can use the Pythagorean theorem to find this distance:

c² = a²+ b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs. Plugging in the values, we get:

c² = 6²+ 8²

c²= 36 + 64

c² = 100

c = 10

Therefore, the distance between the starting point and obstacle 2 is 10 units.

To find the distance of one full lap around the course, we need to add up the lengths of all the segments in the path. The path consists of three line segments: from the starting point to obstacle 1, from obstacle 1 to obstacle 2, and from obstacle 2 back to the starting point.

The length of the first segment can be found using the distance formula:

d = √((0 - (-6))² + (-6 - 8)²)

d = √(6² + (-14)²)

d =√(232)

The length of the second segment is the distance we found in part 1, which is 10 units.

The length of the third segment is the same as the length of the first segment, since it follows the same path but in the opposite direction.

Therefore, the total distance of one full lap around the course is:

2(√(232)) + 10 units, which is approximately 35.91 units.

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The statement of the given hypothesis is False.

What is hypothesis testing?

Hypothesis testing is a statistical analysis that looks at a sample to see if the findings are representative of the population. Depending on the type of data used and the goal of the research, the analyst will choose a certain approach.

Given:  A researcher wants to test the hypothesis that on average girls perform better on standardized tests than boys.

">" sign implies that right-tailed test i.e., one-tailed right-sided.

Hence, the given statement is False.

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Events A and B are not mutually exclusive. Two events are mutually exclusive if they cannot occur at the same time. In other words, if event A occurs, then event B cannot occur, and vice versa.

The probability of two mutually exclusive events occurring together is 0. In this case, P(A) = 1/2, P(B) = 1/3, and P(A or B) = 2/3. Since P(A or B) is greater than P(A) + P(B), it follows that events A and B are not mutually exclusive.

To see this more clearly, let's consider the following possible outcomes:

Event A occurs: This happens with probability 1/2.

Event B occurs: This happens with probability 1/3.

Both events A and B occur: This happens with probability 2/3 - 1/2 - 1/3 = 0.

As we can see, it is possible for both events A and B to occur. Therefore, events A and B are not mutually exclusive.

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The smart thermostat adjusts temperatures based on a 24-hour cycle. The formula for thermostat setting T(t) is (0.5°F per hour) * t + 65°F. It is set to 69°F at 8AM.

a) To find a possible formula for T(t), we can consider a linear interpolation between the maximum and minimum temperatures over the 24-hour cycle. We know that at 8PM (20:00), the temperature is 71°F, and at 8AM (8:00), the temperature is 65°F. The time difference between these two points is 12 hours, so the rate of change of temperature is (71 - 65)°F / 12 hours = 6/12 = 0.5°F per hour.

Using this rate of change, we can set up the equation for T(t):

T(t) = (0.5°F per hour) * t + 65°F

(b) To find the times throughout the day when the thermostat is set to 69°F, we can equate T(t) to 69°F and solve for t:

(0.5°F per hour) * t + 65°F = 69°F

Simplifying the equation:

0.5t + 65 = 69

0.5t = 4

t = 4 / 0.5

t = 8

Therefore, the thermostat is set to 69°F at 8 hours after midnight, which corresponds to 8 AM.

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Answer:

So that it can run faster

Answer:

\(a = change \: in \: v \div time\)

Step-by-step explanation:

Change in V =28-0

=28

time =4 sec

Therefore acceleration =28 ÷4

7m/s^-2

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

900

Step-by-step explanation:

The biker travels 15 m/s and if there are 60 seconds, you multiply 15*60. The answer is 900

Answer:

900 meters

Step-by-step explanation:

The biker can go 15 meters in 1 second.

30 in 2 seconds.... etc etc

To find the length of the street we would multiply his speed (15 m/s) by the amount of seconds (60).

15 * 60 = 900

So, the street was 900 meters

Answer:

83/8 yarns of red

Step-by-step explanation:

Given data

W are told that Suzzanah needs a total of 11 3⁄4 yards of yarn.

= 47/4 yards

Amount of blue needed

convert to simple fraction

1 3/8= 11/8 yards

Amount of Red needed

convert to simple fraction

4 1/2 = 9/2 yards

let us compute the number of yarns left out of the total

=47/4- (11/8+9/2)

=47/4- (11+36/8)

=47/4- 47/8

=94-47/8

=47/8 is the remaining yarn,

Hence the amount of red needed is

=47/8+9/2

=47+36/8

=83/8 yarns of red

Answer:

53

Step-by-step explanation:

180-127=53

Answer:

3/7.

Step-by-step explanation:

1/3 / 7/9

Invert the 7/9 and multipliply:

= 1/3 * 9/7

= 9 / 21

= 3/7

Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

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Answer:

For this case we can model the problem as a rectangle triangle.

 We know:

 Length of the hypotenuse

 Angle between the base of the triangle and the hypotenuse.

 We want to know:

 Length of the base.

 For this we use the following trigonometric relationship:

 cos (15) = \frac{x}{500}cos(15)=500x

 Clearing x we have:

 x = 500 * cos (15) x = 482.96x=500∗cos(15)x=482.96

 Rounding to the nearest tenth of a meter:

 x = 483.0 mx=483.0m

 Answer:

 The horizontal distance she has covered is:

 x = 483.0 mx=483.0m

Answer:

6(x + 15)

Step-by-step explanation:

The answer is 6(x + 15). It states the product of 6, so that is multiplication. You are multiplying the six by the sum of x and 15. Sum means addition. So, your answer is 6(x + 15).

In the expression form, we can write the product of 6 and the sum of a number x and 15 as -

f(x) = 6x + 90

We have - the product of 6 and the sum of a number x and 15.

We have to write it in Algebraic expression form.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

According to question, we have - the product of 6 and the sum of a number x and 15.

Sum of a number x and 15 can be written as = x + 15

The product of 6 and the sum of x and 15 can be written as = 6(x + 15) = 6x + 90.

In this expression -   x is a variable, 90 is a constant value and the algebraic operation used is addition.

Hence, the equation in the expression form is -  f(x) = 6x + 90

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Answer:

x is equal to -9 thus it becomes -18 in the whole setup

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The point  (-2,3) is not a solution of the graphed inequality

Given the graph and the point (-2, 3)

To find the solution of a graphed inequality, you need to follow these steps:

The point (-2, 3) falls in the unshaded region

Hence, it is not a solution

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Answer:

Yes it is i tried no and it was wrong

Step-by-step explanation:

By using distributive property the product (9+5i)(3-2i) is equal to 37 - 3i.

To evaluate the product (9+5i)(3-2i), we can use the distributive property of multiplication. Let's perform the multiplication step by step:

(9+5i)(3-2i)

Using the distributive property:

= 9(3) + 9(-2i) + 5i(3) + 5i(-2i)

Simplifying each term:

= 27 - 18i + 15i - 10i^2

Remember that i^2 is defined as -1:

= 27 - 18i + 15i - 10(-1)

Simplifying further:

= 27 - 18i + 15i + 10

Combining like terms:

= 37 - 3i

Therefore, the product (9+5i)(3-2i) is equal to 37 - 3i.

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ALL the statements about the number 2⁻³that are true are:

An inequality in mathematics is a relationship that compares two numbers or other mathematical expressions in an unequal way. It can be used most frequently by comparing the sizes of two numbers on a number line.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another. Therefore, inequality comes from an imbalance.

The phenomena of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is known as inequality.

Inequalities can be shown in the speed limits on roads, the minimum age for watching particular movies, or even in how long it takes to walk to the park. Inequalities don't represent a precise sum.

First

2⁻³ = -8

So, 2⁻³ is equal to −8 is true

2⁻³ is greater than 3⁻²

No, as negative odd exponent will result in negative number while negative even exponent would result in positive number.

2⁻³  multiplied by −1 equals 2³

Yes, -8 × -1 = 8 = 2³

2⁻³  is less than 1

As negative odd exponent is there

2⁻³  raised to the third power equals 1, Nope.

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The center of the circle is (7, 10),

The radius of the circle is 4.

Option A is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

The equation of a circle is (x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius of the circle.

We have,

(x - 7)² + (y - 10)² = 16

This can be written as,

(x - 7)² + (y - 10)² = 4² ______(1)

This is an equation of a circle.

The equation of a circle is (x - h)² + (y - k)² = r² ______(2)

Comparing (1) and (2).

We get,

(h, k) = (7, 10) and r = 4

The center of the circle is (7, 10),

The radius of the circle is 4.

Thus,

The center of the circle is (7, 10),

The radius of the circle is 4.

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We obtain x1=10 and x2=10 by solving the one-step matrix equation.

A matrix is a set of numbers arranged in rows and columns. Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns.

An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.

Matrices are very expensive items that are used in a variety of applications. Matrix applications are employed in a variety of scientific disciplines in addition to mathematics.

x1 + (-2) = 8

x2 +( 5) = 15

solve 1

x1 - 2 = 8

On both sides of the equation, add 2.

⇒ x1 -2 + 2 = 8 +2

⇒ x1 =8 +2

⇒ x1 = 10

Equation 2 resolution

x2 + 5 = 15

On both sides of the equation, deduct 5

⇒x2 + 5 -5 = 15 - 5

⇒ x2 = 15 - 5

⇒ x2 = 10

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The odds of choosing a red and a blue are 6/20 (4/20), or 3/5.

The balls in the bag are unaware of what was drawn the first time because the two choices are separate.

Six of the 20 pebbles in the bag are red. The odds of selecting a red are 6/20.

Four of the 20 pebbles in the bag are blue. Picking a blue one has a 4/20 chance.

Multiplying the odds of each event will yield the likelihood of two independent events.

The likelihood of selecting a red followed by a blue is 6/20 (4/20), or 3/5.

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The steps to calculate the algebra at Mathpapa online has been explained

Mathpapa is an online algebra calculator that can help you solve equations, graph functions, and perform various algebraic operations. Here's a general guide on how to use Mathpapa to calculate algebra:

Go to the Mathpapa website (mathpapa.com).

Select the type of algebraic problem you want to solve from the options available on the homepage. For example, you can choose to solve an equation, graph a function, or simplify an expression.

Enter the algebraic expression or equation you want to solve in the input field. You can use the on-screen keyboard or type directly on the input field.

Once you have entered the expression or equation, click the "Solve" button to see the solution. If you are solving an equation, the solution will be displayed step-by-step.

If you want to graph a function, enter the function in the input field and click the "Graph" button. You can customize the appearance of the graph by adjusting the axis limits, adding titles and labels, and changing the line color and style.

Mathpapa also provides various tools to help you learn and practice algebra. For example, you can use the practice problems to test your skills, or watch video tutorials to learn specific algebraic concepts.

Overall, Mathpapa is a useful tool for anyone looking to improve their algebra skills or solve algebraic problems quickly and easily.

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Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

Answer:

use this <3 (helps calculate scientific notation) https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php

Step-by-step explanation:

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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The joint probability mass function of X and Y is 1/3.  X and Y are not independent since the probability of Y is affected by the value of X.

The joint probability mass function (p.m.f) of X and Y is determined by listing out all the possible outcomes of the two chips drawn, along with their associated probabilities. Let X = sum of the numbers on the chips and Y = larger of the two numbers.

The possible outcomes of the two chips drawn are as follows: (1,2), (1,3), (2,3). The associated probabilities for each outcome are given by P(X=3, Y=2) = 1/3, P(X=4, Y=3) = 1/3 and P(X=5, Y=3) = 1/3.

The joint p.m.f of X and Y is therefore, P(X=3, Y=2) = 1/3, P(X=4, Y=3) = 1/3 and P(X=5, Y=3) = 1/3.

X and Y are not independent as the probability of Y is affected by the value of X. This can be seen by the fact that when X is 3, the probability of Y being 2 is 1, while when X is 4 or 5, the probability of Y being 3 is 1.

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