Use △GHJ, where A, B, and C are midpoints of the sides. When AC = 3y−5 and HJ = 4y+2, what is HB?

Answer:

8 miles

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:

1 mile:63360 inches

506880 divided by 63360 = 8

Answer:

D. the interval would be half the original width.

Step-by-step explanation:

Answer:

It seems no one can eat just one potato ship

Step-by-step explanation:

Answer:

180°

because x is the mid pf 0° and 360°

Step-by-step explanation:

[tex]2 + \sqrt{2} [/tex]

Answer:

D. $234,000

Step-by-step explanation:

6% of $180,000 is $10,800

Multiply that times 5 years

$10,800x5=$54,000

add that value to the base price

$180,000+$54,000=$234,000

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

3.6 divided by 3 = 1.2 so 1.2 yards of material can be used on each skirt.

Step-by-step explanation:

Answer:

300 inches cubed

Step-by-step explanation:

Attached is an image of the explanation. Sorry about the handwriting I was trying to write fast.

Answer:

im not sure if this is what ur looking for but  id k hopefully yes

Step-by-step explanation:

-16/4=-4

g-4

The solution after simplifying the variable expression by evaluating its numerical part is (g - 4).

Given that,

The expression is,

[tex]g - \dfrac{16}{4}[/tex]

Used the concept of expression by combining the like terms.

Now, simplify each term as,

[tex]g - \dfrac{16}{4}[/tex]

Here, [tex]\dfrac{16}{4} = 4[/tex]

So, we get;

[tex]= g - 4[/tex]

Therefore, the solution is (g - 4).

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Answer:

The exact value of the function for the given x-value is of -5.

Step-by-step explanation:

In this question, we compute the numeric value of the function f(x) for x = -1, that is, we replace every instance of x in the function by -1.

f(x) = 5x for x = -1

[tex]f(-1) = 5(-1) = -5[/tex]

The exact value of the function for the given x-value is of -5.

Answer:

x = 1 and vertex = (1, - 7 )

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

The the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 4x² - 8x - 3 ← is in standard form

with a = 4, b = - 8 , then

x = - [tex]\frac{-8}{8}[/tex] = 1

That is equation of axis of symmetry is x = 1

Substitute x = 1 into the function for y- coordinate of vertex

y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7

vertex = (1, - 7 )

Answer:

x= -16

Step-by-step explanation:

g(x) =-2x-4

g(6)=-2(6)-4

g(6) = -12-4

g(6)=-16

The value of g(6) for the given function g(x) = -2x – 4 will be -16.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given the function,

g(x) = -2x – 4

Now,

g(6) means value of g(x) at x = 6

So,

g(6) = -2(6) - 4

g(6) = -12 - 4 = -16

Hence "The value of g(6) for the given function g(x) = -2x – 4 will be -16".

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Answer:

You can use the ASA Postulate to prove the Angle-Angle-Side Congruence Theorem. A flow proof is shown below. If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Step-by-step explanation:

Hope it helps! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

Answer:

1 hr 2 min 30 secs

Step-by-step explanation:

Assume Propagation speed = 100 km/hr

number of cars = 5

distance between booths = 50 km

Total distance = 100 km

take taken to serve each car = 12 secs

Determine the end to end delay

first calculate the propagation delay = Total distance / propagation speed

                                                             = 100 / 100 = 1  hr

next calculate : Time taken to serve 5 cars in each Tollbooth

= 5 * 12 secs = 60 secs

Next calculate : transmission delay ( time taken by three tollbooth to reach 5 cars )

= 60 secs * 3 = 180 secs = 2 min 30 secs

therefore end-end delay

= propagation delay + transmission delay

= 1 hr 2 min 30 secs

Answer:

x = 10 units

Step-by-step explanation:

By theorem,

Perpendicular drawn from the center to the chord of a circle, bisects the chord.

AB = BC = 6

In right triangle ΔCBD,

By applying Pythagoras theorem,

CD² = BC² + BD²

       = 6² + 8²

CD = [tex]\sqrt{36+64}[/tex]

     = 10

Since, CD and the side measuring x are the radii of the circle D.

x = CD = 10 units

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:  

In this case,

x=32

y=6

Substituting into the identity

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Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

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

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

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

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:

Volume =[tex]5^{3}[/tex] = [tex]125 cm^{3}[/tex]

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

its the yellow one  hope this helps

Step-by-step explanation:

i did the math and checked !!!

Answer:

A

Step-by-step explanation:

subract the three on both sides to get 12. then multiple by -2. when multiplying or dividing by negatives you want to flip the sign

Answer:

A. X ≤ -24

Step-by-step explanation:

(3 - X/2 ≥ 15)2

6 - X ≥ 30

-X ≥ 30-6

-X ≥ 24

-X/-1 ≤ 24/-1

X ≤ -24

Answer:

x=2, x=a

Step-by-step explanation:

(x -2) (x-a) = 0

(x-2)(x-a) = 0

x-2=0

x-2+2=0+2

x=2

x-a=0

x-a+a=0+a

x=a

Answer:

[tex]\dfrac{5}{7}[/tex]

Step-by-step explanation:

Given numbers are :

0.30 cm and 0.42 cm

We need to find the ratio of the above whole numbers.

Taking 0.3 cm on the numerator and 0.42 cm on the denominator. So,

[tex]\dfrac{0.3}{0.42}=\dfrac{\dfrac{3}{10}}{\dfrac{42}{100}}\\\\=\dfrac{3}{10}\times \dfrac{100}{42}\\\\=\dfrac{10\times 3}{42}\\\\=\dfrac{10}{14}\\\\=\dfrac{5}{7}[/tex]

So, the required fraction is equal to [tex]\dfrac{5}{7}[/tex].

Answer:

7x=28

x = 4

x/9=3

x = 27

5x=125

x = 25

14=x÷2

x = 28

8x=40

x = 5

Answer:

B. The​ t-distribution has less spread as the degrees of freedom increase​ because, as n​ increases, s becomes closer to sigma by the law of large numbers.

Step-by-step explanation:

The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.

The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

Note the following:

Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n​ increases, s becomes closer to by the law of large numbers. (Option B)

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