What is the value of y

Answer:

b. two solutions

Step-by-step explanation:

Answer:

Two Solutions.

Step-by-step explanation:

Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

Answer:

t = D/r

Step-by-step explanation:

you rearrange the equation so that is the subject. when you bring something over the equal sign, it reverses the function so D = r×t becomes t = D/r

Hello.

First, let's recall the Properties of Exponents:

\(\displaystyle(\frac{a}{b} )^{m}\)= \(\displaystyle\frac{a^{m} }{b^{m}}\)

Let's use this property to simplify the given expression:

\(\displaystyle(\frac{9}{16} )^\frac{1}{2}\)

\(\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }\)

Now, the \(\frac{1}{2}\) power means "square root of"

The square root of 9 is 3, and the square root of 16 is 4.

Thus, we have

\(\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}\)

Therefore, the answer is

\(\displaystyle\frac{3}{4}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

-∞ < x < 4

Step-by-step explanation:

→ The graph touches the y axis at 4, therefore 4 part of the range. As h ( x  ) has a vertical asymptote it will never touch the line x = 1, therefore -∞.

Answer: 1

Step-by-step explanation:

Given the expression :

Evaluate : 2× √49/14

2 * (√49) / 14

√49 = 7

2 * (7 / 14)

2 * (1 / 2)

2 /2

= 1

Answer: $37.50

Step-by-step explanation:

Answer:

C. 6/48

Step-by-step explanation:

mutliply both numerator and denominator

Answer:

Ordered pair

Definition: An ordered pair is a pair of numbers in parentheses that declare the location of a point on a graph.

Answer:

concave polygones

Step-by-step explanation:

Answer:

:P

Step-by-step explanation:

Answer:

x² - 3x - 18 = 0

Step-by-step explanation:

x/3 - 6/x = 1

x²/3 - 6 = x

x² - 18 = 3x

x² - 3x - 18 = 0

Answer:

5 wall and 1 desk

Step-by-step explanation:

5 x 6$ = 30$
1 x 7$ = 7

30 + 7 = 37, which is the total price

Answer:1.16 times

Step-by-step explanation:

Given

Bella can run a mile in 9.54 minutes

Linda can run a mile in 8.22 minutes

We know, \(\text{distance=speed}\times\text{ time}\)

Speed of Bella, for running a mile is

\(\Rightarrow v_b=\dfrac{1}{\frac{9.54}{60}}=\dfrac{60}{9.54}\\\\\Rightarrow v_b=6.29\ mph\)

Speed of Linda, for running a mile is

\(\Rightarrow v_l=\dfrac{1}{\frac{8.22}{60}}=\dfrac{60}{8.22}\\\\\Rightarrow v_l=7.29\ mph\)

So, Linda is faster than Bella, as her speed is more compared to Linda.

Linda is  \(\frac{9.54}{8.22}=1.16\)  times faster than bella

The number of square feet of roofing on the barn is 4701 square feet if the barn is 100 feet long and 40 feet wide.

What is integration?

It is defined as the mathematical approach to calculating the smaller parts or components.

It is given that:

A barn is 100 feet long and 40 feet wide.

Find the first derivative of the given function:

After solving the above integration:

= 20(e - 1/e)

The roofing = 100(20(e - 1/e))

= 4701 square feet

Thus, the number of square feet of roofing on the barn is 4701 square feet if the barn is 100 feet long and 40 feet wide.

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Answer:

2/1, and 7

Step-by-step explanation:

slope=  difference in y / diference in x

slope = (5-3) / (-1 - -2) = 2/ (-1+2) = 2 / 1

y-intercept is where the graph intersects the y-axis and there x=0, if we look at the table when x= 0 , y =7

Answer:

12√3

Step-by-step explanation:

sin 60° = 18/h

h = 18/sin 60°

h = 12√3

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

We are given that

f(x) = 1/(30 - x)` and

g(x) = x + 6`

and we have to find the values of

f(g(x))` and `g(f(x))`.

Let's start by finding `f(g(x))`

where `g(x) = x + 6`

and we substitute `g(x)` in `f(x)`.`f(g(x)) = f(x + 6) = 1/(30 - (x+6))

We simplify this to get

f(g(x)) = 1/(24 - x)

Now let's find

g(f(x))

where

f(x) = 1/(30 - x)

and we substitute

f(x)

in `g(x)`.

g(f(x)) = g(1/(30 - x)) = 1/(30 - x) + 6

We simplify this to get `g(f(x)) = 6 + 1/(30 - x)

Hence, the values of

f(g(x))` and `g(f(x))` are `1/(24 - x)` and `6 + 1/(30 - x)` respectively.

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The interval of convergence for the Taylor series is -1/4 < x < 1/4.

With the function (1+16x2), we can apply the Maclaurin series expansion to determine the Taylor series centered at 0.

First, let's rewrite the function as \((1+16x^2)^(1/2).\)

Using the binomial series expansion, we have:

\((1+16x^2)^(1/2) = 1 + (1/2)(1/2-1)(16x^2) + (1/2)(1/2-1)(1/2-2)(16x^2)^2 + ...\)

Simplifying the coefficients, we have:

\((1+16x^2)^(1/2) = 1 + (1/2)(-1)(16x^2) + (1/2)(-1)(-2)(16x^2)^2 + ...\)

\((1+16x^2)^(1/2) = 1 - 8x^2 + 48x^4 + ...\)

The first four nonzero terms of the Taylor series centered at 0 are 1, \(-8x^2, 48x^4.\)

Now, let's find the interval of convergence for this series.

The interval of convergence for the binomial series is -1 < x < 1.

Substituting\(16x^2\)back into the inequality, we have:

-1 < \(16x^2\) < 1.

Dividing all sides by 16, we get:

-1/16 < \(x^2\) < 1/16.

Taking the square root of all sides, we have:

-1/4 < x < 1/4.

Therefore, the interval of convergence for the Taylor series is -1/4 < x < 1/4.

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The linearization of the function \(f(x,y) = 2x^2 + y^2 - 5y\) at the point (1,2) is L(x,y) = 4x - y - 5. This linearization is an approximation of the original function near the point (1,2) that is valid for small values of x and y.

To find the linearization of a function, we need to use the formula \(L(x, y) = f(a,b) + f_x(a,b)(x-a) + f_y(a,b)(y-b)\), where \(f_x(a,b)\) and\(f_y(a,b)\) are the partial derivatives of the function at the point (a,b).

In this case, our function is \(z = f(x,y) = 2x^2 + y^2 - 5y,\) and we want to find the linearization at the point (1,2). So we need to first find the partial derivatives of f with respect to x and y:  \(f_x(x,y) = 4x f_y(x,y) = 2y - 5\)

Next, we can plug in our point (1,2) into these partial derivatives to get their values at that point:
\(f_x(1,2) = 4(1) = 4 f_y(1,2) = 2(2) - 5 = -1\). Now we can plug all of these values into the formula for the linearization:  \(L(x,y) = f(1,2) + f_x(1,2)(x-1) + f_y(1,2)(y-2) L(x,y) = (2)(1)^2 + (2)^2 - 5(2) + 4(x-1) - 1(y-2) L(x,y) = 4x - y - 5\)

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Answer:

D 133 degrees

Step-by-step explanation:

The measure of an angle external to a circle = the difference of the two arcs intercepted divided by 2

47  = [ (360 - x) - x ] / 2

94 = 360 - 2x

x = 133 degrees of the arc

Answer:

Step-by-step explanation:

Given

We have

Correct choice is D

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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a. The number of bricks required for the top step is 795.

b. The total number of bricks required for all the steps is 2250.

(a) To find the number of bricks required for the top step, we need to use the information that each successive step requires two less bricks than the prior step.

So, we can start by finding the total number of bricks required for all the steps and then subtracting the number of bricks required for the bottom 29 steps.

The total number of bricks required for all the steps can be found using the formula for the sum of an arithmetic sequence:

S = n/2 * (a1 + an)

where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.

In this case, we have:

n = 30 (since there are 30 steps)

a1 = 100 (since the bottom step requires 100 bricks)

d = -2 (since each successive step requires 2 less bricks than the prior step)

an = a1 + (n-1)d = 100 + (30-1)(-2) = 40.

Plugging these values into the formula, we get:

S = 30/2 * (100 + 40) = 2250

So, the total number of bricks required for all the steps is 2250.

To find the number of bricks required for the top step, we subtract the number of bricks required for the bottom 29 steps from the total number of bricks required for all the steps:

number of bricks required for top step = total number of bricks - number of bricks for bottom 29 steps

= 2250 - [100 + 98 + 96 + ... + 6 + 4 + 2]

= 2250 - 1455

= 795

Therefore, the number of bricks required for the top step is 795.

(b) To find the total number of bricks required to build the staircase, we simply add up the number of bricks required for each step. We can use the formula for the sum of an arithmetic series again to simplify the calculation:

S = n/2 * (a1 + an)

where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.

In this case, we have:

n = 30 (since there are 30 steps)

a1 = 100 (since the bottom step requires 100 bricks)

d = -2 (since each successive step requires 2 less bricks than the prior step)

an = a1 + (n-1)d = 100 + (30-1)(-2) = 40

Plugging these values into the formula, we get:

S = 30/2 * (100 + 40) = 2250

Therefore, the total number of bricks required to build the staircase is 2250.

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Answer:

3* 2*3*2 is n

Step-by-step explanation: well find a way to put 3 and 2 two times in expressions and expressions have no equal signs steer clear of that.

The dimensions of the rectangular field are 200 yards by 50 yards.

Let's assume that the width of the rectangular field is represented by the variable "w." Since the field is 4 times as long as it is wide, the length can be represented as "4w."

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given as 500 yards. The perimeter of the rectangular field is given by the equation:

Perimeter = 2(length + width)

Substituting the given values, we have:

500 = 2(4w + w)

Simplifying the equation:

500 = 2(5w)

250 = 5w

w = 50

The width of the field is 50 yards. To find the length, we can substitute this value back into the expression for the length:

Length = 4w = 4(50) = 200

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Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).

Answer

\(592in^{2}\)

Step-by-step explanation:

A=2(wl+hl+hw)

2·(10·8+12·8+12·10)

=592

Answer: 592

Step-by-step explanation:

so A = 2 (wl+hl+hw)

Then what we will do next is do 2·(10·8+12·8+12·10)

which will give us 592 and that is our answer.

I hope this helps!