Here is a graph that represents y=x2.1. Use the sketchpad to sketch a graph thatrepresents: y= (x – 6)2 + 10.2. How do you know that you have graphed theequation correctly?

Answer:

\(\textsf{x = 45}\)

Here, the given 2 angles are complementary angles. The sum is 90 degrees as indicated by the right angle symbol.

\(\textsf {Solving :}\)

\(\implies \textsf{x - 2 + 47 = 90}\)

\(\implies \textsf{x + 45 = 90}\)

\(\implies \textsf{x = 45}\)

To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.

Using \(\displaystyle\sf \) tags for formatting, the expression becomes:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

First, we simplify the expression within the parentheses:

\(\displaystyle\sf 5x-3(-5y+6x)+4y\)

\(\displaystyle\sf 5x+15y-18x+4y\)

Next, we can combine the like terms:

\(\displaystyle\sf 5x-18x+15y+4y\)

\(\displaystyle\sf -13x+19y\)

Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Amanda has 8 cousins

Step-by-step explanation:

Let C be the number of cousins Caleb has, A be the number of cousins Amanda has, and R be the number of cousins Ruby has:

\(C=2A\\R=5\\R=C-11\\\\R=C-11\\5=C-11\\16=C\\\\C=2A\\16=2A\\8=A\)

Therefore, Amanda has 8 cousins.

Answer:

Amanda has 8 cousins.

Step-by-step explanation:

Let's use algebraic variables to solve the problem.

Let's assume the number of cousins Amanda has is represented by 'A'.

Since Caleb has twice as many cousins as Amanda, the number of cousins Caleb has is '2A'.

And Ruby has 5 cousins, which is 11 less than what Caleb has, so the number of cousins Caleb has is '5 + 11 = 16'.

Equating the two expressions for the number of cousins Caleb has:

2A = 16

Now we can solve for 'A', the number of cousins Amanda has:

Divide both sides of the equation by 2:

A = 16 / 2

A = 8

Therefore, Amanda has 8 cousins.

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer:

(6,-2)

Step-by-step explanation:

The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)

Hope this helped you :)

Answer:

he spent $34.67 that is the answer

a) The probability that exactly one of them will be a girl = 0.3407

b) The probability that at least one of them will like the football = 0.7672

a) If we select three students then the probability that exactly one of them will be a girl

From the attached two way table we can observe that the total number of girls = 22

the total number of boys = 18

and the total number of students = 40

The possible outcomes for selecting 3 students from 40 would be,

⁴⁰C₃

Using combination formula,

⁴⁰C₃ = 40! / (3! × (40 - 3)!)

      = 9880

If there is exactly one girl then other two must be boys in the set of 3 selected students.

So, the required probability would be,

P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃

P = (22 × 153)/9880

P = 0.3407

b) The number of students like the football = 15

and the number of students who don't like the football are 40 - 15 = 25

The probability that at least one of them will like the football would be,

P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃

P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880

P = 0.7672

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Answer:

2x+16

Step-by-step explanation:

2(x+7)+2 = (f⋅g)(x)

2x+14+2=

2x+16= (f⋅g)(x)

Answer:

by cancellation method  we can cancel both the y's

so the leftover digits are, 12/3x

when simplifying, we will get 4/x

∴ the final answer is 4/x

hope this answer helps you.....

Answer:

x = 12

y = 20

Step-by-step explanation:

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

\(T=15+4x\)

Divide the total charges by number of miles to get the cost per mile.

\(\text{Cost per mile}=\dfrac{15+4x}{x}\)

Average cost per mile is $4.60.

\(4.60=\dfrac{15+4x}{x}\)

\(4.60x=15+4x\)

\(4.60x-4x=15\)

\(0.60x=15\)

Divide both sides by 0.60.

\(x=\dfrac{15}{0.60}\)

\(x=25\)

Therefore, the required number of miles is 25.

Answer:i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

Answer:

40

Step-by-step explanation:

Girls=(25+b)

boys=b

girls + boys=105

(25+b)+b=105

2b=80

b=40

Check answer

girls=b+25

girls=40+25

girls=65

boys+girls=105

40+65=105

105=105

There are 40 boys in the school.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'x' be the number of girls and 'y' be the number of boys in the school.

There are 105 pupils in a school.

So, we get an equation,

⇒ x + y = 105               ..................(1)

the girls are 25 more than the boys.

So, we get an equation,

⇒ x = y + 25               .........................(2)

Substitute above value of x in equation (1)

⇒ (y + 25) + y = 105

⇒ 2y + 25 = 105

⇒ 2y = 80

⇒ y = 40

Substitute above value of y in equation (2),

⇒ x = 40 + 25

⇒ x = 65

Therefore, there are 40 boys in the school.

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The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

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a) Replace x by 0 and simplify:

f(0) = 2(0) + 1 = 0 + 1 = 1

Hence, f(0) = 1

b) Replace x by -3 and simplify:

f(-3) = 2(-3) + 1 = -6 + 1 = -5

Hence, f(-3) = -5

c) Replace x by 2x+3 and simplify:

f(2x+1) = 2(2x + 1) + 1 = 4x + 2 + 1 = 4x + 3

Hence, f(2x+1) = 4x + 3

Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer:

Trapezoid and Quadrilateral

Step-by-step explanation:

Trapezoid because it has four sides that are not equal You may not be familiar with this figure because most trapezoids don't look like this. It is a quadrilateral because it is a figure that has 4 sides.

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

y = 1/2(x - 2) - 4

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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The square feet of paper that will cover the model is 56 ft squared.

The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.

Therefore,

surface area of the square base pyramid = A + 1 / 2 ps

where

Therefore,

p = 4 × 4 = 16 ft

s = 5 ft

A = 4² = 16 ft²

Therefore,

surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5

surface area of the square base pyramid = 16 + 40

surface area of the square base pyramid = 56 ft²

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Answer:

I think it is 2

Sorry if I got it wrong

It should be close to 7m at around 5pm. In fact, this is the time of day when the water rises the fastest, so perhaps 8m

The interval between successive peaks in the sinusoidal signal graph, or period, is only the number of seconds needed for one cycle of the sinusoid.

Depending on the values of angular frequency (), discrete-time sinusoidal sequences may or may not be periodic. A discrete-time sinusoidal signal must have an angular frequency () that is a multiple of 2 to be considered periodic.

It takes roughly 6 hours from low tide to high tide, or 12 hours for the entire tide cycle. Since low tide was at 2 a.m., low tide will be at around 2 p.m. as well. Three hours later, or at around 5 p.m., the water should be at the average level, which should be at (12.4+1.2)/2=6.8 m. Therefore, it should be close to 7m around 5:45. Actually, this is when the water rises the fastest, so it's probably close to 8m. Your 5.5m is obviously too low, regardless of where it is.

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

9(4-n)

Step-by-step explanation:

Hope this helps

Tell me if I'm wrong

Answer:

nxkckcbdhdjdmdndhdjdkdkdnd

Answer:

Positive Slope, the graph interprets how much it costs to rent a canol per hour.

Step-by-step explanation:

To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)