Line a is represented by the equation y=−7x+1.

How do these equations compare to line a?

Drag and drop the equations into the boxes to correctly complete the table.


Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a


y = 7x - 5 y- = 7x + 3 y = 1/4x + 4

The maximum length of each prism is equal to 7.99 centimeter.

First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:

Maximum surface area (quantity) = Cost/unit price

Maximum surface area (quantity) = $11/$0.04

Maximum surface area (quantity) = 275 square centimeter (cm²).

Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:

A = 6al + 3√3a²

Where:

Substituting the given parameters into the formula, we have;

275 = 6 × 4l + (3√3 × 4²)

275 = 24l + 48√3

24l = 275 - 48√3

24l = 191.8616

l = 191.8616/24

Length, l = 7.99 centimeter.

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Answer:

6,000

Step-by-step explanation:

Answer:

a: 120 = 2x + 40

80 = 2x

x = 40

b: (3x + 10) + (x-30) = 180

4x - 20 = 180

4x = 200

x = 50

c: 105 = 2x - 11

116 = 2x

58 = x

d: 8y + 36 = 14y - 24

-6y = -60

y = 10

64 = 48 + x

16 = x

y = 10, x = 16

e: 75 + (2x - 5) = 180

70 + 2x = 180

2x = 110

x = 55

2(55) - 5 =y

y = 105

f: (2x + 8) + (3x + 17) = 180

5x + 25 = 180

x = 31

3(31) + 17 = 5y + 15

110 = 5y + 15

95 = 5y

y = 19, x = 31

The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.

In this case we any vertical line will only intersect one point then we conclude that:

The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.

Answer:

1st option

Step-by-step explanation:

a. the distribution of X ~ N(15,5)

b.  the probability that it lasted at least 12 days = 0·72575

c.  the probability that it lasted between 17 and 22 days  = 0.30567

d. 72% of all of these types of trials are completed within  13 days

(a)

The x follow normal distribution with mean standard deviation

X ~ N(15,5)

(b)

probability at least 12 days.

P(X≥12) = 1 - P(X ≤12)

            = 1 - P((X - μ)/б ≤ (12-15)/5 ]]

            = 1 - P[Z  < -0.6]

            = 1 - 0·27425

            = 0·72575

(c)

Probability at least between 16 & 21 days

P(16 < x < 21) = p( (16-15)/5 <  (X - μ)/б - (21-15)/5]

                     = p (0.2 < Z < 1.2 )

                     = p[Z < 1.2] - P[Z < 0.2]

                     = 0.8849 - 0.5792

                     = 0.30567

(d)

standard normal table z is 0.65

p (Z < 0.65) = 0.74215

using Z score formula

X = Z x  б + μ

X = 0.65 x 5 + 15

X = 13

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Before we can determine the probability that a certain event will occur, we must first know the total number of outcomes.

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Answer:

area = l×b

= 6×4

. = 24 cm²

Step-by-step explanation:

this is the answer

The predicted distance of the ball would be 27.1.93 yards when the ball travels for a duration of 5 seconds.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

The distance, y, is measured in yards and the speed, s, is measured in miles per hour.

The regression line is defined as ŷ = 3.98 + 53.59s  ... (i)

The slope and y-intercept of the regression line must be determined.

The general equation for a linear regression line is y = a + bx...(ii), where x is a variable. The variable is indicated by s in the above equation.

When I and (ii) are compared, we obtain a = 3.98 and b = 53.59.

It indicates that the slope is 53.59 and the y-intercept is 3.98.

The slope, b = 53.59, implies that for every mile per hour of speed, the distance rises by 53.59 yards.

The ball travels for a duration of 5 seconds

Substitute the value of s = 5 in equation (i) to get

ŷ = 3.98 + 53.59(5)

ŷ = 271.93

Thus, the predicted distance of the ball would be 27.1.93 yards.

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Answer:

271.93

Step-by-step explanation:

Answer: Richard is 29 and Teo is 9.

Step-by-step explanation: Use Substitution

The proof of △AED is congruent to △BEC

What is congruency?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. In more technical terms, two sets of points are said to be congruent if and only if one of them can be changed into the other by an isometry, which is a combination of rigid movements such as translation, rotation, and reflection. This implies that one item may be relocated and reflected (but not scaled) to perfectly align with the other. So two separate plane figures on a piece of paper are congruent if they can be cut out and then entirely matched up. It is OK to flip the paper over.

Given, △ABC is congruent to △BAD.

and △AEB is common in both, so

△AED is congruent to △BEC (proved)

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If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

Answer:

1. 1600

2. 3,000

3. 6,000

4. 7,000

5. 10,000

6. 9,000

Step-by-step explanation:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 1565 rounded to the nearest hundred is:

1600

Answer:

[tex](f \circ g)(24)=-36[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]

Function Composition is applying one function to the results of another.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).  

Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).

Calculate g(24) by substituting x = 24 into function g(x):

[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]

Answer:

(f∘g)(24) = -36

Step-by-step explanation:

We are given f(x) = -9x + 9 and  [tex]g(x)= \sqrt{x+1}[/tex].

We want to find (f∘g)(24).

This means that we first want to find g(24), then substitute the value of that into f(x).  

Start by substituting 24 for x in g(x).

[tex]g(24)= \sqrt{24+1}[/tex]

Add 24 and 1 together.

[tex]g(24)= \sqrt{25}[/tex]

Take the square root of 25.

g(24) = 5

Now, substitute 5 as x in f(x) = -9x + 9.

f(5) = -9(5) + 9

Multiply.

f(5) = -45 + 9

Add the numbers together.

f(5) = -36

f(5) in this case has the same value as (f∘g)(24)

This means that (f∘g)(24) = -36

Answer:

9.  [tex]256u^8 v^{16}[/tex]

10.  [tex]-32x^{10} y^{35}[/tex]

11.  [tex]-x^{12}y^{20}[/tex]

12.  1

13.  [tex]\frac{2}{3xy^3}[/tex]

14.  [tex]\frac{h^8}{3j^6k^6}[/tex]

15.  [tex]\frac{1}{4z}[/tex]

Answer:

9.  256u^8 v^16

10.  -32x^10 y^35

11.  x^12 y^21

12.  1

Step-by-step explanation:

If you can, please give me a Brainliest; thank you! I put a lot fo times to solve it !

Two or more expressions with an Equal sign is called as Equation. Derek measured 0.01 metres  is the wing that Leslie measured.

Two or more expressions with an Equal sign is called as Equation.

Given that

Derrick measured wing length was 0.1 m

The wing that Leslie measured was (1/10) as long as the wing that derrick measured.

We need to measure how long is the wing that Leslie measured.

Multiply 0.1 by (1/10)

0.1×1/10

=0.01 metres.

Hence Derek measured 0.01 metres  is the wing that Leslie measured.

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In the given figures, ratio of all corresponding sides are

Except the ratio of AE and VZ

Hence, the polygon ABCDE can't be dilated to VWXYZ because ratio of corresponding sides are not equal.

So, the correct answer is (C)

Answer: 0-10

1-9

2-8

Step-by-step explanation:

The vertex of the equation is (-3, 2). And the range will be the set of all real numbers equal to or larger than 2, written as:

y ≥ 2.

For an absolute value function of the form:

y = |x - a| + b

The vertex is a the point (a, b).

And the range (the set of the possible values of y that we can get with the function) will be the set of all real values equal or larger than b.

In this case, the absolute value function is:

y = |x + 3| + 2

Comparing it with the general one, we can see that the vertex is (-3, 2)

And then the range is y ≥ 2.

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The expression is equal to 0.00333333333.

A = 0.00333333333

B = 0.00426666666

C = 0.03125

D = 33.3333333333

Therefore, the answer is A. Hope this helps! :)

The given expression is

Factor out the greatest common factor between 15x and 20y.

Then, use the product property to expand the logarithm.

At last, simplify the first logarithm because its base is equal to its argument.

Therefore, the simplest form of the logarithm is

SOLUTION

The slope of the line can be gotten using the formula

The slope is 50. This means the distance increased by 50 miles for every hour.

Answer:

Explanation:

The angular coefficient is also referred to as the slope of the line.

Given that the slope of the lining joining these pair of points are the same:

• (-2, 1) and (1, 4)

• (1, -2) and (3, p)

Then:

We solve the equation for p:

Answer:217.625

Step-by-step explanation:

Answer:

12cd(2-3c)

Step-by-step explanation:

check:

12cd( 2 - 3c)

12cd(2) - 12cd(3c)

24cd - 36[tex]c^{2}[/tex]d

Answer:

C

Step-by-step explanation:

1 we need you to provide the function for people to better understand how to answer.

2 Option c was the only one that made sense.

pls mark brainliest

3/706 is 0.00424929178, but if you mean 706/3, then the answer is 235 and 1/3. Hope this helps! :)

x² -16=0

1) Since we have two roots and any quadratic equation can be rewritten as once we have the roots:

So let's find one equation whose roots are 4 and -4, with coefficient a=1

(x-4)(x+4)=0

x² -16=0

2) So the equation x² -16= 0 has roots x_1=4 and x_2= -4 S={-4,4}

The given function is

The expression f(-16) means we have to evaluate the function when x = -16.