Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11

Answers

Answer 1

Property of substation justifies that statement, as you replaced x with 2

Answer 2

substitution :))))))))))))))))))))

Related Questions

A harris poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. a recent survey found that 19 out of 48 randomly selected people stated that they drank a caffeinated beverage to combat midday drowsiness. at latex-8e4a9cff882bfbfe876f36fb5b4c08e8_5a945b8082ee7.png, is the claim of the percentage found in the harris poll believable?

Answers

Final answer:

To determine the believability of the Harris Poll's claim that 35% use caffeine to combat drowsiness, a hypothesis test for proportions is needed. The sample proportion of 39.58% from the recent survey would be tested against the null hypothesis of 35% using a z-score calculation. Depending on if the z-score falls within the critical region, we can either reject or fail to reject the null hypothesis.

Explanation:

To determine if the claim of the percentage found in the Harris Poll is believable based on the recent survey, we can conduct a hypothesis test for proportions. The null hypothesis (¿¿H₀) is that the true proportion of people who drink a caffeinated beverage to combat midday drowsiness is 35%, as stated by the Harris Poll. The alternative hypothesis (¿¿H₁) would be that the true proportion is different from 35%.

We use the information that 19 out of 48 randomly selected people stated that they drank a caffeinated beverage for midday drowsiness, which gives us a sample proportion of approximately 39.58%. To test this, we can calculate the z-score for the sample proportion and compare it to the critical value for α = 0.05 (two-tailed test). If the calculated z-score falls within the critical region, we reject the null hypothesis, indicating that the Harris Poll's claim is not believable. However, if the z-score is outside the critical region, we do not have enough evidence to reject the null hypothesis, and thus the claim is considered believable.

To perform this test, we would need to calculate the standard error for the proportion, z-score, and then compare the z-score to the appropriate critical value. Without performing the calculations here, we cannot definitively conclude about the believability of the Harris Poll's percentage claim. However, a statistician would run these numbers to reach a conclusion.

HELP!!!!!!!!!!!!!!

The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of Square A is 12 yards. What is the perimeter of Square B?

Answers

The side length of square B is 9/4*(12 yd) = 27 yd. The perimeter of square B is 4 times that distance, 108 yd.

what is the approximate area of the shaded region

Answers

That 10 is the diameter of the circle.
First let's find the area of the square.
A = s^2
Where 's' is the side.
A = 10^2
A = 100
Now let's find the area of the circle.
The '10' is also the diameter of the circle.
A = pi * r^2
A = 3.14 * 5^2
A = 3.14 * 25
A = 78.5
Now subtract this from the area of the square.
100 - 78.5 = 21.5
So the approximate area of the shaded region is 21.5cm^2

The correct answer would be D - 21.5 square centimeters.

Hope this helped! Have a good day.

Raina is fertilizing her garden. The garden is in the shape of a rectangle. Its length is
15 feet and its width is 13
feet. Suppose each bag of fertilizer covers 39
square feet. How many bags will she need to cover the garden?

Answers

Answer: 5 bags

Step-by-step explanation:

What is the area of this triangle?

A=bh2

24 in²

30 in²

48 in²

96 in²
Right triangle with height labeled 8 inches, base labeled 6 inches, and third side labeled 10 inches.

Answers

96in2cause 48*2=96in

Lets get started :)

The area formula of a triangle is:
A = [tex] \frac{1}{2} [/tex] × base × height

The given base = 6 in
The given height = 8 in

We substitute in the formula

A = [tex] \frac{1}{2} [/tex] (6)(8)
= 24 in²

helppppppppppppppppppp

Answers

Answer: first option, the values of sin Θ and cos Θ represent the legs of a right triagle with hypotenuse of 1; therefore, solving for cos Θ finds the unknown leg, and then all other trigonometric values can be found.

Explanation:

Θ is the angle, and sinΘ and cosΘ are the legs of the right triagle so the second and third option are discarded because they say that sinΘ and cosΘ are angles.

The hypotenuse is 1 because it is an absolute value, i.e. it has not sign (it cannot be negative), which discards the fourth option.

What is the area of the shaded region of the following figure?

446 in.2
5,760 in.2
4,788 in.2
5,274 in.2

Answers

[tex] {5274}in^{2} [/tex]

Explanation:
To find this answer you will have to follow these steps:

1) Convert all numbers to the same unotnof measurement (inches). So you would convert 8ft and 5ft into inches. (96in and 60in)

2) Now you have to find the area of the total figure (square). To find this you simply multiply length × width. (96in × 60in = 5760) Remember this for later.

3) Now you have to find the area of the triangle inside the shape. For this you multiply base × height then divide by 2. (36in × 27in = 927 then ÷ 2 to get 486.) 486 is the area of the triangle.

4) Finally to find the area of the shaded part of the shape you need to subtract the triangles area from the total area. (5760 - 486 = 5274 in)

Answer:

5,274 in.2

Step-by-step explanation:

Find the area of both the shaded and not shaded regions.

Shaded: 8 ft x 12 in = 96 5 ft x 12 in = 60

Then: 96 in x 60 in = 5760

Not Shaded: 27 in x (36 / 2) 18 in = 486

Then Subtract The Not Shaded Region From The Shaded Region:

5,760 - 486 = 5,274

While hovering near the top of a waterfall in a national park at 46244624 feet, a helicopter pilot accidentally drops his sunglasses. the height h left parenthesis t right parenthesish(t) of the sunglasses after t seconds is given by the polynomial function h left parenthesis t right parenthesis equals negative 16 t squared plus 4624h(t)=−16t2+4624. when will the sunglasses hit the ground?

Answers

We are given the function:
[tex]h(t)=-16 t^{2} +4624[/tex]

In order to find out when will the sunglasses hit the ground we need to solve this function for t.
We start by moving t to the left side and everything ele to the right side:
[tex]16 t^{2} =4624[/tex]
Now we divide with 16:
[tex]t^{2} =289[/tex]
Now we take square root:
[tex] t_{1} = 17s \\ t_{2} = -17s[/tex]
We ignore negative solution as time can not have negative value.

It twill take 17s seconds for the sunglassesto hit the ground.

Please help?
What is m V?
Round only your final answer to the nearest tenth.

Answers

I want to say the third option but dont trust my opinion

The answer would be 53.9

Charley wants to have $950,000 when he retires in a year. If he currently has $900,000 to put in a 1-year CD, which of these APRs and compounding periods will allow him to reach his goal?

A. An APR of 5.44% compounded semiannually
B. An APR of 5.42% compounded monthly
C. An APR of 5.34% compounded daily
D. An APR of 5.43% compounded quarterly

Answers

Charlie needs an effective rate of 950/900 -1 = 5.555%.

A) 1.0272^2 ⇒ 5.514% . . . . . . . . . . . . not enough

B) 1.0045166667^12 ⇒ 5.557% . . . . sufficient to reach the goal

C) 1.000146301^365 ⇒ 5.485% . . . . not enough

D) 1.013575^4 ⇒ 5.542% . . . . . . . . . .not enough

Charley needs an APR of 5.44% compounded semiannually to reach his goal of $950,000 in a year.(A)

Given:

Final Amount (A) = $950,000

Principal Amount (P) = $900,000

Time (t) = 1 year

We use the compound interest formula: A = [tex]P(1 + r/n)^{(nt)[/tex]

Option A: 5.44% APR compounded semiannually

APR (r) = 0.0544

Compounding periods per year (n) = 2

Plugging in the values, we get: A = 900,000[tex](1 + 0.0544/2)^{(2*1)[/tex]≈ $949,999 (which is approximately $950,000)

Option B: 5.42% APR compounded monthly

APR (r) = 0.0542

Compounding periods per year (n) = 12

Plugging in the values, we get: A = 900,000[tex](1 + 0.0542/12)^{(12*1)[/tex] ≈ $949,941 (less than $950,000)

Option C: 5.34% APR compounded daily

APR (r) = 0.0534

Compounding periods per year (n) = 365

Plugging in the values, we get: A = 900,000[tex](1 + 0.0534/365)^{(365*1)[/tex] ≈ $949,591 (less than $950,000)

Option D: 5.43% APR compounded quarterly

APR (r) = 0.0543

Compounding periods per year (n) = 4

Plugging in the values, we get: A = 900,000[tex](1 + 0.0543/4)^{(4*1)[/tex] ≈ $949,980 (missing the goal by a small amount)

Conclusion: The correct option is 5.44% compounded semiannually as it allows Charley to reach his goal of $950,000.

PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST FOR BEST/RIGHT ANSWER!!!!!!!!

Answers

The answer is A, please mark brainliest.

You're answer is A ☺

I need help peeps, im having troubles

Answers

Since AB and AC are equal then 5x - 4 = 3x and solve that

5x - 4 = 3x
2x - 4 = 0
2x = 4
x = 2

plug 2 in for x
5(2) - 4 = 10 - 4 = 6 (the length of AB)

First you'll find the value of x. This is an equilateral triangle to we can set side AB equal to AC.

5x - 4 = 3x
5x = 3x + 4
2x = 4
x = 2

For the length of side AB we will plug in the value of x in the expression.

5(2) - 4
10 - 4
6 = AB

Which of the following is the solution of 5e^2x-4=11

Answers

Add 4
.. 5e^(2x) = 15
Divide by 5
.. e^(2x) = 3
Take the natural log
.. 2x = ln(3)
Divide by 2
.. x = ln(3)/2 . . . . . . . . . corresponds to the 3rd selection

The solution of the equation will be x = (ln 3) / 2. Then the correct option is C.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equation is given below.

5e²ˣ – 4 = 11

On simplifying, we have

5e²ˣ = 15

e²ˣ = 3

Taking log on both sides, then we have

2x ln e = ln3

We know ln e = 1, then we have

2x = ln 3

x = (ln 3) / 2

Then the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

A circular test track for cars has a circumference of 2.7km . A car travels around the track from the southernmost point to the northernmost point. What distance does the car travel? (answer 1.35km). Part B !!!!!!!What is the car's displacement from its original position?,

Answers

This problem is about the difference between distance and displacement.
The distance is how many kilometers has the car covered, the displacement is how far from the original point is the car now, and does not depend on the path followed, but it is the shortest path that connects two points.

a) In this part, they ask you for the distance. From the southernmost to the northernmost point of the circumference, the car has traveled half of the circumference, therefore:
distance = circumference ÷ 2 = 2.7km ÷ 2 = 1.35km

b) In this part, you are asked for the displacement, which in this case is the diameter of the circumference:
displacement = diameter = circumference ÷ π = 2.7km ÷ 3.14 = 0.86km = 860m

Find the length of JK and the measure of M. A. JK=26, m=33 B. JK=26, M=54. C. JK=33, M=26. D. JK=54, M=33

Answers

answer would be c mark as braianly

Answer:

c i would think/suppose

Step-by-step explanation:

Find the Area of the figure

Answers

Hi there!

To solve this problem, we need to find the area of the circle and divide that by 2 to get the area of the semicircle, and then add that to the area of the rectangle.

First, let's find the area of the semicircle.

Since the area of a circle is calculated by pi × r^2 and diameter = 2r, we divide the diameter by 2 and plug it into the formula.

10 ÷ 2 = 5
pi × 5^2
= pi × 25
= 25pi
25pi ÷ 2 = 12.5pi

Now, let's find the area of the rectangle.
4 × 10 = 40

We add the areas together:

12.5pi + 40 = 79.27

So, the area is 79.27.

Hope this helps!

so that figure is basically made out of a rectangle + half of a circle

Area of a circle : pi × radius^2
r = 5
area : 78.54
but we need half of it. so divide it by 2

39.27

area of the rectangle on the bottom : 10 × 4 = 40

40 + 39.27 = 79.27

so your answer is 79.27 in²

All my smart people click here

Answers

Okay, I'm here for ya!
What do you need help with? It is correct "If you burn [...] 0.02 mols of propane 44kj of energy [...] released"

What's the problem here?

Edit: "For each gram of propane burned, 50 kJ of energy is released" maybe?

If f(x) = 6x - 4, what is f(x) when x = 8?

Answers

The answer is 44

To find this answer, we replace x with 8 and use PEMDAS (order of operations) to simplify

f(x) = 6*x - 4
f(8) = 6*8 - 4
f(8) = 48 - 4
f(8) = 44

The answer is 44
f(x) = 6*x - 4
f(8) = 6*8 - 4
f(8) = 48 - 4
f(8) = 44

Lines are perpendicular when the slopes are _____

Answers

... negative reciprocals of each other.

___
Lines are perpendicular when the product of their slopes is -1 (or when one is vertical and the other is horizontal).

4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
(1 point)
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
4. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.
Two lines that intersect at right angles are perpendicular.
(1 point)
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.
@Mathematics

Answers

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.

Two lines that intersect at right angles are perpendicular.

A. The statement is not reversible.

B. Yes; if two lines intersect at right angles, then they are perpendicular.

C. Yes; if two lines are perpendicular, then they intersect at right angles.

D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Your Answer would be (D)

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

REF: 2-3 Biconditionals and Definitions

Answer:

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Step-by-step explanation:

In a biconditional statement, both parts have to be true. In this case, if the two lines intersect at a right angle then they are perpendicular, and if they are perpendicular then they intersect at a right angle

is this a linear function , why or why not ? explain
y=x^2-1

Answers

If you graph out y = x^2 - 1, you'll see that it is a curved parabola. It is not a straight line. So visually this shows the equation is not linear. It's considered nonlinear.

Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.

Devin borrowed $1,058 at 13 percent for nine months. What will he pay in interest?
A. 103.16
B.105.80
C.137.54
D.122.40

Answers

A, 103.16 Hope this is right!

Devin borrowed $1,058 at 13 percent for nine months.

We have to calculate the interest paid.

Interest = [tex] \frac{P \times R \times T}{100} [/tex]

Substituting the values of

Principal = $1058

Rate = 13%

Time = 9 months = [tex] \frac{9}{12} [/tex] year

Interest = [tex] \frac{1058 \times 13 \times 9}{12 \times 100} [/tex]

Interest = 103.155

= 103.16

So, Devin will pay 103.16 as the interest.

Therefore, Option A is the correct answer.

In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians.

What is the arc length?

Use 3.14 for π .

Answers

32.97 i took the test

Answer:

Arc length = 32.97 m .

Step-by-step explanation:

Given : In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians and use 3.14 for π .

To find : What is the arc length.

Solution : We have given a circle of radius = 6 m

Central angle = 7π/4

Formula of arc length = radius × central angle .

Arc length = 6 × ([tex]\frac{7(3.14)}{4}[/tex]).

Arc length = 32.97 m .

Therefore, Arc length = 32.97 m .

what is the fourth term of the expansion of the binomial (2x+5)^5

Answers

for a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵

when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5

substitute x =2x and y = 5

(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵

= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
we use the pascals triangle to find the coefficient

we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴

The set of life spans of an appliance is normally distributed with a mean mc013-1.jpg = 48 months and a standard deviation mc013-2.jpg = 8 months. What is the life span of an appliance that has a z-score of –3?

Answers

The life span would be 24 months.

The formula for z-scores is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]

Using the information we're given we have:
[tex]-3=\frac{X-48}{8}[/tex]

Multiply both sides by 8 to cancel it:
-3(8) = ((X-48)/8)*8
-24 = X-48

Add 48 to both sides:
-24+48 = X-48+48
24=X

The life span of an appliance that has a z-score of –3 is 24 months if the set of life spans of an appliance is normally distributed with a mean is 48 months and a standard deviation is 8 months.

What is Z-test?

The Z test is a parametric procedure that is used on data that is dispersed in a normal fashion. For testing hypotheses, the z test can be used on one sample, two samples, or proportions. When the population variance is known, it analyzes if the means of two big groups are dissimilar.

We have:

Z = -3,

[tex]\rm \mu = 48[/tex]

[tex]\sigma = 8[/tex]

We know the formula for the Z-score:

[tex]\rm Z = \frac{X-\mu}{\sigma}[/tex]

[tex]\rm-3= \frac{X-48}{8}[/tex]

-24 = X - 48

X = 24 months

Thus, the life span of an appliance that has a z-score of –3 is 24 months if the set of life spans of an appliance is normally distributed with a mean is 48 months and a standard deviation is 8 months.

Learn more about the Z-test here:

brainly.com/question/15683598

#SPJ3

BRAINLIEST FOR BEST ANSWER

Answers

2x - 10 = 4x - 8
-10 = 2x - 8
-2 = 2x
-1 = x

ok answer is B plz lemme know if u want an explanation

after earning $17 in interest bob bank account has $143 how many dollars were in the account to start with

Answers

143 - 17 = 126 Your answer is: 126

Summer looked at the formula for the Pythagorean Theorem, ashe said that it didn't matter which sides of a right triangle were a, b, and C. Is she correct?

Answers

She is incorrect. It doesn’t matter what sides you label a or b but c matters. The longest side (the hypotenuse) is always c.

a) The volleyball reached its maximum height after 3 seconds.
b) The maximum height of the volleyball was 23 feet.
c) If the volleyball is not returned by the opposing team, it will hit the ground in
5.5 seconds.
d)The graph that models the volleyball's height over time is exponential.
e) The volleyball was served for a height of 5 feet.

Answers

A) The volleyball reached its maximum height after 3 seconds.
b) The maximum height of the volleyball was 23 feet.
e) The volleyball was served for a height of 5 feet.

Which property is demonstrated below

Answers

Answer: Power of a power property.

Power here is another word for exponent.

Answer:

associative property of multiplication

Step-by-step explanation:

edge 2021

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