show that the equation y = 7/3x - 11/8 can be written in the standard form ax + by = c, in which a, b, and c are all integers​

Answer:

a) 0.968 s (nearest thousandth)

b) 0.625 s

Step-by-step explanation:

Give equation:  [tex]-16x^2 + 10x + 15 = 0[/tex]

If the linear term represents the initial velocity,
then the initial velocity in the original equation = 10 ft/s

If the constant term represents the initial height,
then the initial height in the original equation = 15 ft

a) If the initial velocity is 0

[tex]\implies -16x^2 + 15 = 0[/tex]

[tex]\implies x^2 = \dfrac{15}{16}[/tex]

[tex]\implies x = \pm\dfrac{\sqrt{15}}{4}[/tex]

As time is positive,

[tex]\implies x =\dfrac{\sqrt{15}}{4}=0.9682458366...[/tex]

The flotation device will hit the water after 0.968 s (nearest thousandth)

b) If the initial height is 0:

[tex]\implies -16x^2 + 10x = 0[/tex]

[tex]\implies -2x(8x-5) = 0[/tex]

[tex]\implies -2x=0\implies x=0[/tex]

[tex]\implies 8x-5=0 \implies x=\dfrac58[/tex]

Therefore, the flotation device lands in the water after 5/8 seconds = 0.625 s

Each mold will have 1/32 cup of melted wax.

A fraction represents a part of a whole.

We know that 1 gallon is equal to 16 cups.

Therefore, 1/8 gallon is equal to:

(1/8) x 16 cups/gallon = 2 cups/8 = 1/4 cup

So we have 1/4 cup of melted crayon wax in total.

If we pour this equally into 8 different molds to make new crayons, each mold will have:

(1/4) / 8 = 1/4 x 1/8 = 1/32 cup

Therefore, each mold will have 1/32 cup of melted wax.

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Answer:

270.99

Step-by-step explanation:

1/3×3.14×8^2

=66.99

9×11

=99

15×7

=105

66.99+99+105

=270.99

im not sure if im right

Answer:

-3

Step-by-step explanation:

[tex]log_{n} n^{a} =a\\[/tex]

[tex]0.001 = 10^{-3}[/tex]

[tex]log_{10} 0.001=log_{10} 10^{-3} =-3[/tex]

The preparation of the Sales section of the income statement for Blue Spruce Corp. is as follows:

BLUE SPRUCE CORP.

For the year ended October 31, 2022

Sales Revenue                         $908,400

Sales Returns and Allowances  (20,900)

Sales Discounts                           (14,700)

Net sales revenue                  $872,800

The net sales revenue represents the gross revenue minus sales returns and allowances and sales discounts.

In most jurisdictions, the sales discount account is reported on the income statement as a contra revenue account.  This implies that sales discounts are directly deducted from the gross sales and do not appear in the expense section nor the notes to the sales or revenue.

Sales Revenue $908,400

Freight-Out $12,600

Sales Returns and Allowances $20,900

Sales Discounts $14,700

Thus, the preparation of the sales section of the income statement for Blue Spruce Corp. shows a net sales revenue of $872,800.

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Answer:

9514 1404 393

Step-by-step explanation:

 k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

 g(-2) = 0 = f(0) = f(-2+k)

or ...

 0 = -2+k

 2 = k

The value of k is 2

so the answer to you problem is k=2

Answer:

5

Step-by-step explanation:

Everytime I try to do the explanation picture because I wrote it down it won't work. Brainly bots do not take this answer down!

Answer:

143.76C

x-114=29.76

Step-by-step explanation:

-4

4

and those are the only ones i know

Answer:

  (b)  The result of adding two polynomials is always a polynomial.

Step-by-step explanation:

A set is "closed" under a particular operation if performing that operation on members of the set always results in a member of the set.

Adding two polynomials always results in a polynomial, so we can say "polynomials are closed under addition."

The estimated value of a motorcycle that is 5 years old is $4750.

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let y represent the value of the motorcycle after x years.

The value is given by:

y = -750x + 8500

After 5 years (x = 5):

y = -750(5) + 8500 = 4750

The estimated value of a motorcycle that is 5 years old is $4750.

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Answer:

even

Step-by-step explanation:

bc it is the same on both sides

Answer: B

              The answer would have to be B because when finding the perimeter, you add all the sides up together. If one of the width of the rectangle is 10, then the other would also be 10, which already makes 20. If both lengths are 12, they would add up to be 24. And finally, 20+24=44!

Answer:

35% gives more off

Step-by-step explanation:

Answer:

7cm, assuming the question is phrased as noted below.

Step-by-step explanation:

I'll interpret "If the length of a rectangle doubles its width." as "If the length of a rectangle is double its width.

Let L be the width, and L the length

L = 2W

The perimeter of a rectangle is 2L + 2W

We can use L instead of 2W,  and that gives us:

  21 cm = 2L + L

21 cm = 3L

L = 7 cm

Answer:

$34.29, Gavin spent $34.29.

Step-by-step explanation:

12 ÷ 0.35 = 34.2857142857

Round to nearest hundreth: 34.29

Answer:

$4.20

Step-by-step explanation:

dozen = 12 flowers

0.35x12=4.20

Step-by-step explanation:

Steps of Construction

(i) Draw ray AB.

(ii) Construct  ∠BAC = 60°.

(iii) Construct  ∠BAD = 90°.

(iv) Bisect ∠CAD, so that ∠CAE = ∠EAD = 15°.

(v) We obtain  ∠BAE = ∠BAC + ∠CAE = 60° + 15° =75°.

Hope this Helps!!!!

Answer:

66 inches

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

there are 12 inches in a foot

12×5.5=66

Answer:56.57in

Step-by-step explanation:

Considering the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval.

It is given by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

From this, we get that the margin of error is direct proportional to the critical value, hence [tex]z_{99}>z_{95}[/tex], which means that the 99% confidence interval will be wider, that is, it will have a larger margin of error, than the 95% confidence interval.

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Answer:

i think is C

I'm not sure about it

Def. of Geometric Mean: the nth root of the product of n numbers

The geometric mean of 7 and 11 =  [tex]\sqrt{7*11} =8.775\\[/tex] (approximated)

Hope that helped!

Answer: it is the square root of 77 or D in the case of this quiz

Step-by-step explanation: got 100% on the test

The vertical asymptote is 8 and the horizontal asymptotes is zero

Given the function expressed as:

[tex]f(x)=\frac{4}{x-8} - 2[/tex]

The vertical asymptote is the point where the denominator is zero.

x - 8 = 0

x = 8

Hence the vertical asymptote is 8

There is no horizontal asymptote since the numerator is a constant. Hence the horizontal asymptote of the function is zro

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Answer:

Vertical is x=8

Horizontal is y= -2

Step-by-step explanation: took the test and missed it because 0 is wrong for horizontal

Answer:

  12

Step-by-step explanation:

To evaluate the given expression for the given value of k, put that value into the expression in place of k, then do the arithmetic.

  [tex]\sqrt{-72k}\qquad\text{for $k=-2$}\\\\\sqrt{(-72)(-2)}=\sqrt{144}=12\qquad\text{positive square root}[/tex]

The value is 12.

Answer:

12

Step-by-step explanation:

trust me

Answer:

-7 and -5

AND

-3 and -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a is 79

b is 79

d is 79

180 - 79 is 101

x is 101

c is 101

z is 101

y is 101