Hope this answer helps:

Step-by-step explanation:-

=3x(2x+3)+4(2x+3)

=6x^2+9x+8x+12

=6x^2+17x+12

Step-by-step explanation:-

=3x(2x+3)+4(2x+3)

=6x^2+9x+8x+12

=6x^2+17x+12

Leah runs M miles everyday during the week except for Wednesday or Sunday. A. write an algebraic expression that represents the total number of miles leah runs each week B. there are 52 weeks in a year. write an algebraic expression that represents the total number of miles leah runs in a year

A. The algebraic **expression** that represents the total number of **miles** Leah runs each **week** is **5*M**.

B. The algebraic **expression** that represents the total number of **miles** Leah runs in a **year** is **260*M**.

Leah runs M miles everyday during the week except for Wednesday or Sunday.

We need to write the **algebraic expression** that represents the total number of miles Leah runs each week. Leah runs for 5 days in a week. The total number of miles run in a week is 5*M.

We need to write the algebraic **expression** that represents the total number of miles Leah runs in a year. Leah runs 5*M miles in a week. The total number of miles run in a year is (5*M)*52 = 260*M.

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Which expressions simplify to a rational answer?

Select each correct answer.

Options (1), (3), (4), (7) and (8) are **rational numbers**.

**Rational numbers** are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include **natural** **numbers**, whole numbers, integers, **fractions** of integers, and decimals (terminating decimals and recurring decimals).

1) 1/4 + 1/2 = 1/4 + 2/4

= 3/4

3/4 is the rational number

2) √3 + 4 is an irrational number

3) √4 + 7

2 + 7 = 9

9 is the rational number

4) 2·√9

= 2·3

= 6

6 is the rational number

5) 7·√6 is an irrational number

6) 4·2√3 = 8√3

8√3 is an **irrational number**

7) 3·7·(1/3) = 7

7 is the rational number

8) 7·√81

=7·9 = 63

63 is the **rational** **number**

Therefore, options (1), (3), (4), (7) and (8) are **rational numbers**.

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construct a 95% confidence interval for the mean number of defects per screen for all screens produced by this manufacturer. a) what is the lower limit on the interval? give your answer to three decimal places. 2.077 incorrect: your answer is incorrect. b) what is the upper limit on the interval? give your answer to three decimal places. 2.203 incorrect: your answer is incorrect.

The 99% confidence interval for the population **proportion** p is 0.833< p < 0.863.

Given that,

x = 3059

n = 3604

**Point estimate = sample proportion = x / n **=3059/3604=0.848

[tex]1 - \hat p[/tex] = [tex]1-0.848 =0.152[/tex]

At 99% confidence level the z is ,

[tex]\alpha[/tex] = 1 - 99% = 1 - 0.99 = 0.01

[tex]\alpha[/tex]/ 2 = 0.01 / 2 = 0.005

[tex]Z\alpha[/tex]/2 = [tex]Z*0.005[/tex] = 2.576 ( Using z table )

** Margin of error** = E = [tex]Z\alpha / 2 * (\sqrt(((\hat p * (1 - \hat p)) / n)[/tex]

= [tex]2.576* (\sqrt((0.848*0.152) /3604 )[/tex]

=0.015

A 99% confidence interval for** population proportion** p is ,

[tex]\hat p - E < p < \hat p + E[/tex]

0.848-0.015< p <0.848+ 0.015

0.833< p < 0.863

Hence, the 99% confidence interval for the **population proportion** p is 0.833< p < 0.863.

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График функции y=-0,5(10-x) Дополнительная информация -2≤x≤12

Your search - График функции y=-0,5(10-x) Дополнительная информация -2≤x≤12 - did

Justin is playing tennis. When serving, he stands 12 feet away from the net, which is 3 feet tall. The ball is served from a height of 7.5 feet. Justin thinks the ball travels about 21.4 feet before it hits the ground 8 feet from the net on the opposite side.

a) How far does the ball travel?

b) What assumptions did you make to solve the distance the ball travels?

c) What mathematical practice did you use to solve this problem?

Regarding the situation described, we have that:

**a. **The ball **travels **21.4 feet.

**b.** The **assumption **is that the ball was served at an angle of 90º.

**c.** The **Pythagorean Theorem **was used to solve this problem.

The Pythagorean Theorem relates the length of the **legs **[tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the **hypotenuse **h, stating that the hypotenuse squared is the sum of the legs squared, according to the following **rule**:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, it is found that:

The**Assuming **that the ball was served at an angle of 90º, the **distance **traveled by the ball is the **hypotenuse **of a right triangle of legs 7.5 feet and 20 feet, hence:

d² = 7.5² + 20².

d = sqrt(20² + 7.5²)

d = 21.4 feet. (which is Justin's estimate).

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Can someone please help me solve for Y and X. Question number 5

Using the **triangle sum theorem**, x = 7 and y = 18.

The theorem that says that all the interior angles of a **triangle** will be equal to 180 degrees is referred to as the **triangle sum theorem**.

In the diagram given, since vertical angles are congruent, therefore:

(11x - 9) + (6x - 2) + 72 = 180 [**triangle sum theorem**]

Solve for x

11x - 9 + 6x - 2 + 72 = 180

17x + 61 = 180

17x = 180 - 61

17x = 119

x = 7

Also,

(5y - 8) + (11x - 9) + 30 = 180 [**triangle sum theorem**]

5y - 8 + 11x - 9 + 30 = 180

5y + 13 + 11x = 180

Plug in the value of x

5y + 13 + 11(7) = 180

5y + 13 + 77 = 180

5y + 90 = 180

5y = 180 - 90

5y = 90

y = 90/5

y = 18

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What is the discriminant of the quadratic equation -x^2+6x-4=0?

**Answer:**

[tex]x = - 3 + - \sqrt{13} [/tex]

**Step-by-step explanation:**

formula is x=-b+-sqrt b^2-4ac/2a

PLEASE HELP!

Set up the system of equations for this scenario. Let "b" represent hours babysitting

and "w" represent hours walking dogs.

**Answer:**

I not to sure but I think it is b+w=h(hours)

**Step-by-step explanation:**

In the figure below, N lies between M and P.

1

Find the location of N so that MN is of MP.

1/2 of MP

**Answer:**

8

**Step-by-step explanation:**

See attached image.

Which of the following may produce bias? Select all that apply.

The question uses an inaccurate tool.

Some subgroups may be at a disadvantage due to prior experiences.

A medical research study assigns the healthier patients to the group using the new treatment and the sicker patients to the group using the traditional treatment.

Asking school children how they use apps to organize their day.

All students find the question easy.

The things that can lead to **bias** include:

The question uses an inaccurate tool.

Some **subgroups** may be at a disadvantage due to prior experiences.

A medical research study assigns the healthier patients to the group using the new treatment and the sicker patients to the group using the traditional **treatment**.

It should be noted that **bias** simply means anything that leads to a systematic difference between the true **parameter**.

It should be noted that in a situation where the question uses an **inaccurate** tool. This will lead to bias and bring about inaccuracy.

Also, using different tools for the **patients** can lead to bias.

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A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.

The 2lb **candy **cost the owner $8 and the 3lb candy** **cost the owner $4.5

The total weight of the candy is

[tex]3 + 2 = 5[/tex]

Let's write** equation** for this.

[tex]3(1.50) + 2x = 2.5(5)\\4.5 + 2x = 12.5\\12.5 - 4.5 = 2x \\8 = 2x\\x = 4[/tex]

The cost of the 2 pound candy is $4 per unit and the store owner spent $8 in the 2lb candy.

The cost of 3 pound candy was $4.5

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2. Find the volume to the nearest cubic millimeter of the 3-D object in the diagram.

200 mm

300 mm

**Volume **of a pyramid is calculated using the same **basic formula **as that of a cone: volume = (1/3) × base area × height, where height is the **distance **between the base and the apex. Then the **height **is 6 feet.

Using the equation volume = base area height / 3, one may calculate the volume of a **regular square pyramid**. Keep in mind that the **base area **is equal to the base edge length squared.

A **polygonal base **and an apex come together to form a polyhedron known as a pyramid. Volume of a pyramid is calculated using the same basic formula as that of a **cone**: volume = (1/3) × base area × height, where height is the distance between the base and the apex.

The volume of a **square pyramid **exists found by multiplying the area of the base by the height divided by 3.

32 = 4² × h/3

32 = 16 × h/3

**Multiply **both sides by 3

96 = 16 × h

Divide both sides by 16

H = 96/16

H = 6

Therefore, the **height **is 6 feet.

The complete question is:

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.

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0.0 mi/hr to 70.0 mi/hr in 10.0 seconds, what would be its final velocity after 5.0 seconds if its starting velocity was 50.0 mi/hr

Based on the calculations, the **final velocity** of this car is equal to 85.0 mi/hr.

In order to determine the **final velocity** of this car, we would first calculate its **acceleration** based on the parameters provided. Mathematically, the **acceleration** of an object can be calculated by using this formula:

a = (V - U)/t

Where:

a represents theSubstituting the given parameters into the formula, we have:

a = (70.0 - 0)/10

a = 70.0/10

**Acceleration**, a = 7.0 mi/hr².

Now, we can determine the **final velocity** of this car as follows:

V = U + at

V = 50.0 + (7.0)(5)

V = 50.0 + 35.0

**Final velocity**, V = 85.0 mi/hr.

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Complete Question:

If a car can go from 0.0 mi/hr to 70.0 mi/hr in 10.0 seconds, what would be its final velocity after 5.0 seconds if its starting velocity was 50.0 mi/hr

(04.01 HC)

A person with type A blood can donate red blood cells to people with type A or type AB

blood. About 31% of the US population has type A blood. You are asked to design a

simulation to determine the probability that at least 4 of 10 people will have type A blood.

Part A: Conduct five trials using the following table of random digits: (5 points)

96299 07196 98642 20639 23185 56282

94168

86280

59225

69929 14125 38872

18192 08710 80777 84395 69563

70406 18564 69273 72532 78340 36699

46376 58596 14365 63685 56555 42974 72944 96463 63530 24152

47352 04266 74017 79319 70170 96572 08523 56025 89077 57678

71622 35940 81807

03272 41230 81739

74797

Part B: Based on your simulation, what is the probability that at LEAST 4 of 10 people will

have type A blood? (5 points)

**Answer:31%**

**Step-by-step explanation:**

4 root symbol 84 x 10 to the power of 4

The **simplified value **for 4 √84 x [tex]10^4[/tex] is 800 √21.

The **exponent **of a number shows how many **times **the **number **is **multiplied **by itself.

For **example**, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Given:

4 √84 x [tex]10^4[/tex]

Now, first **factorize** 84 into **prime** **factor**

84 = 2 x 2 x 3 x 7

The, we can **write **it as

4 √84 x [tex]10^4[/tex]

=4 x √(2 x 2 x 3 x 7 x (10²)²)

= 4 x 2 x 10² √( 3 x 7)

= 8 x 10² √21

=800 √21

Hence, the **simplified **value is 800 √21.

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Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due?

The **total amount** due will be **equal **to $6.24.

This question can be solved by converting the situation into form of an **equation**. An equation may be defined as an **expression** which consists of numbers, **variables** related to each other by **arithmetic** expressions. The** solution **of equation often referred to as the variables for which the equation must be solved, are the values of the unknowable variables that satisfy the **equality**. The cost of video game is given as $12.98, and** tax **is equal to $0.78, and he paid an amount of $20. let the **change** left be x.

Total amount = cost of game + tax + change

$20 = $12.98 + $0.78 + x

$20 = $13.76 + x

=> x = $20 - $13.76

=> x = $6.24 which is the due **amount**.

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**Complete Question:**

**Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due? Next, you decide to pay with a $20.00 bill. How much change will you receive after paying for your video game?**

I need some help please. Given the functions, complete the sections. a) Find the intercepts with the axes. b) Indicate the basic function that you will use to graph it. c) Identify the transformations that your graph will undergo, starting from its basic function. d) Draw the sketch showing the transformations, taking into account all the previous sections. Highlight f(x) with a pen or marker. e) Determine its domain and range.[tex]f(x) = - \frac{1}{4} \sqrt{8 - 4x} + 1[/tex]

[tex]f(x)=-\frac{1}{4}\sqrt[]{8-4x}+1[/tex]

a)

The x-intercept can be found as:

[tex]\begin{gathered} f(x)=0 \\ so\colon \\ -\frac{1}{4}\sqrt[]{8-4x}+1=0 \\ -\frac{1}{4}\sqrt[]{8-4x}=-1 \\ \sqrt[]{8-4x}=4 \\ 8-4x=16 \\ 4x=8-16 \\ 4x=-8 \\ x=-\frac{8}{4} \\ x=-2 \end{gathered}[/tex]Therefore, the x-intercept is: (-2,0)

The y-intercept can be found evaluating the function for x = 0, so:

[tex]\begin{gathered} f(0)=-\frac{1}{4}\sqrt[]{8-4(0)}+1 \\ f(0)=1-\frac{\sqrt[]{2}}{2} \\ f(0)\approx0.29 \end{gathered}[/tex]b) The parent function for this is given by:

[tex]g(x)=\sqrt[]{x}[/tex]c)

1st: A reflection over y-axis:

[tex]\begin{gathered} y=g(-x) \\ y=\sqrt[]{-x} \end{gathered}[/tex]2nd: A horizontal compression:

[tex]\begin{gathered} y=g(-4x) \\ y=\sqrt[]{-4x} \end{gathered}[/tex]3rd: A horizontal translation 8 units to the left:

[tex]\begin{gathered} y=g(x+8) \\ y=\sqrt[]{-4x+8}=\sqrt[]{8-4x} \end{gathered}[/tex]4th: A reflection over y-axis:

[tex]\begin{gathered} y=-g(x) \\ y=-\sqrt[]{8-4x} \end{gathered}[/tex]5th: A vertical compression:

[tex]\begin{gathered} y=\frac{1}{4}g(x) \\ y=-\frac{1}{4}\sqrt[]{8-4x} \end{gathered}[/tex]6th: A vertical translation 1 unit up:

[tex]\begin{gathered} y=g(x)+1 \\ y=-\frac{1}{4}\sqrt[]{8-4x}+1 \end{gathered}[/tex]d)

Where the blue graph is the parent function:

[tex]g(x)=\sqrt[]{x}[/tex]And the red graph is the function after the transformations:

[tex]f(x)=-\frac{1}{4}\sqrt[]{8-4x}+1[/tex]e)

The domain and the range are:

[tex]\begin{gathered} D\colon\mleft\lbrace x\in\R\colon x\le2\mright\rbrace \\ R\colon\mleft\lbrace y\in\R\colon y\le1\mright\rbrace \end{gathered}[/tex]What percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water? (1 point)

69%

30%

1%

71%

The **percentage** of Earth's freshwater is found in lakes, rivers, and streams as **surface** water is 69%. Therefore, option A is the correct answer.

We need to find the percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water.

What is percentage?**Percentage** is defined as a given part or amount in every **hundred**. It is a **fraction** with 100 as the **denominator** and is represented by the symbol "%".

Over 69 **percent** of the fresh water on **Earth** is found in icecaps and glaciers, and just over 30 percent is found in **ground water**. Only about 0.3 percent of our fresh water is found in the **surface** water of lakes, rivers, and swamps.

The **percentage** of Earth's freshwater is found in lakes, rivers, and streams as **surface** water is 69%. Therefore, option A is the correct answer.

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Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following. Find f(x) + h(x)

The **value** of **f(x) + h(x)** when **f(x) = 2x - 1** and **h(x) = x² + 1** is x² + 2x.**Addition** of linear **functions**:**Addition** of two individual** functions**, a(x) and b(x); **linearly**, **results** in the formation of the **functional addition**, c(x) of the two functions, such as:**c(x) = a(x) + b(x) = (a+b)(x)** – (i)

The addition of the functions strictly restricts to simple linear addition without any pre-defined constraints.

Given, **f(x) = 2x - 1**, **g(x) = 3x** and **h(x) = x² + 1**

Using the available formula in (i), we get**f(x) + h(x)** = (f + h)(x) = (2x - 1) + (x² + 1) = x² + 2x = x(x + 2), which is a quadratic equation.

Thus, the required value of **f(x) + h(x)** is x² + 2x.

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Evaluate the expression,in simplest form c= 7/10 y=2/15-3y+c

Let's begin by listing out the information given to us:

[tex]undefined[/tex]Does this table show a proportional relationship? If so, what is the constant of proportionality?

A Yes; 1/5

B Yes; 5

C Yes; 10

D The quantities are not proportional.

We can conclude that (A) yes, the table shows the **constant of proportionality **of 1/5.

So, the constant of proportionality of the given table:

Formula: k = y/x

So, substitute the values in the formula as follows:

8/40 = 1/510/50 = 1/512/60 = 1/514/70 = 1/5So, yes, the table shows the **constant of proportionality **of 1/5.

Therefore, we can conclude that (A) yes, the table shows the **constant of proportionality **of 1/5.

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A group entering a zoo purchased 32 admission tickets for a total of $148. Adult tickets cost $7.50, and tickets for children cost $3.50. How many of each type of ticket were purchased?

There are **23 tickets** which are purchased for **children** and **9 tickets** are purchased for adults which cost total **$148.**

It is given in the question that **32 tickets** are purchased by group which cost total ** $148**.

Let the number of children of the group who are entering the zoo be **x.** Then the number of adults will be **32- x**

Now cost of one ticket for adult = **$7.50**

Total amount spent on adult tickets = **7.50 × (32-x)**

Similarly, cost of one ticket for child= **$3.50**

Total amount spent on children tickets = 3.50 × x =**3.5x**

Total amount spent by group on tickets = $148

⇒ 7.5 × (32-x) + 3.5x = 148

⇒ 240 - 7.5x + 3.5x = 148

⇒ 7.5x - 3.5x = 240 - 148

⇒ 4x = 92

⇒ x = 23

Children = **23**

Adults = 32-x = 32-23 = **9**

Hence, **23 tickets** are purchased for children and **9 tickets** are purchased for adults.

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adana is going on vacation with her family in2 hours they travel 90.5 miles. they travel the same speed, write an equation that represents how far they will travel, d, in h hours

If adana is going on vacation with her family in2 hours they **travel **90.5 miles. they travel the same speed, The **equation **that represents how far they will travel, d, in h hours is: r = d / t, D = r × t.

Given data;

Travels time : 2 hours in 90.5 miles

Formula for **speed **is:

r = d / t

Where,

r = Speed

d = Distance

t = Time

Hence,

Speed = 90.5 / 2

Speed =45.25miles per hour

Since they travels d **distance **in h hour with the same speed let find the distance

D = r × t

Distance = Speed × Time

Distance = 45.25 × h

Distance = 45.25h miles

Therefore r = d / t, D = r × t is the **equation **that represent the distance they travel.

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Write the equation of the line that passes through the points (7,-6)(7,−6) and (3,8)(3,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

The** equation of the line** is y = -0.35x – 3.55

Given,

The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

Since the line passes through the** points** (7,-6) and (3,8),

• (x₁, y₁) = (7,-6) and

• (x₂, y₂) = (3,8).

So, substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁).

m = (8 - (-6))/(3 - 7).

m = (8 + 6)/ -4

m = 14/-4

m = -3.5

The equation of the line passing through the point (x₁, y₁) in** point-slope form** is given by

y - y₁ = m(x - x₁) where

• m = gradient =- 0.35 and

• (x₁, y₁) = (7, -6)

So, substituting the values of the variables into the equation, we have

y - y₁ = m(x - x₁)

y - (-6) = -0.35(x - 7)

y + 6 =-0.35 (x - 7)

y = (-0.35x + 2.45 – 6)

y = -0.35x – 3.55

So, the **equation of the line** is y = -0.35x – 3.55

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Leah can run 720 yards in 4.5 minutes. How many yards can she run in 2 minutes at the same rate?

A. 350

B. 320

C. 160

D. 110

By the concept of **unitary method** she can run 320 yards in 2 minutes at the same rate.

The unitary method is a technique used to determine the value of a **single unit** from the value of many units and the value of multiple units from the value of a single unit. We typically utilize it for math calculations. This approach might be helpful for answering questions on ratio and proportion, algebra, and other subjects. "It is a method where we get the value of a single unit from the value of many units and the value of multiple units from the value of a single unit." bra, **geometry**, etc. Before determining the value of additional or less items, we must first determine the value of one item by dividing it. There are two categories of unitary approaches.

720 yards = 4.5 minutes

1 minute = 720/4.5

= 160 yards

2 min = 160(2)

= 320 yards

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Which is the equation of the perpendicular bisector of a line segment whose midpoint

is (1, -2) and whose slope is - 1/3

asap

**Answer: y = 3x - 5**

**Step-by-step explanation:**

3 is the reciprocal of -1/3 and by plugging in (1,-2) in to y=3x+b you get -2 = 3(1) + b which makes b = -5

picture down below

PLS HURRY FIRST GETS BRAINLIEST

**Step-by-step explanation:**

come on, this is really simple.

you need to put the given values of x into the places, where x appears in the functional expression.

which expression to be used ? that depends on the given value.

x = -1

is -1 >= 0 (to use the case for x >= 0) ? no, it is not.

-1 < 0, so we need to use the expression for x < 0.

y = -1 - 2 = -3

x = 0

is 0 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×0 + 1 = 0 + 1 = 1

x = 1

is 1 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×1 + 1 = 3 + 1 = 4

x = 2

is 2 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×2 + 1 = 6 + 1 = 7

how many groups of 10 milliliters are in 1 liter explains

There are 100 **groups **of 10 milliliters in 1 liter

From the question, the given parameters are

Volume 1 = 10 milliliters

Volume 2 = 1 liter

The number of groups of the **first group **in the second is calculated as

Groups = Volume 2/Volume 1

Substitute the known values in the above **equation **

So, we have the following equation

Groups = 1 liter/10 milliliters

Evaluate the quotient

Groups = 100

Hence, the number of groups is 100

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the population of a town increased by 2.59% per year from the beginning of 2000 to the beginning of 2010. the town's population at the beginning of 2000 was 74,500.

the town's **population **at the beginning of 2000 was 74,500.Then the population in 2010 will be 96206.97

In 2000, the population of a town = 74500

Every year, it **increase **by 2.59%

To find the equation P(t) which represents the **population **of this town t years from 2000 to 2010.

Formula

If a be the original population of a town and it **increases **by r% every year, after t year the **population **will be

A = P ( 1+r/100)^t

Now,

Taking, P =74500, r = 2.59% we get,

A = 74500( 1+0.0259)^10

A= 74500(1.0259)^10

A= 96206.97

learn more about of **percentage **here

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X=-3±2√2

Solve for x

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