Marco starts reading a 350-page book at 9 a.m. The number of pages P Marco has left to read t hours after 9 a.m. is modeled by the function P(t) = 350 - 45t. During which of the following time periods does Marco read the same number of pages he reads between 11 a.m. and 1 p.m.? Select all that apply
A. 9 a.m. to 11 a.m.
B. 11 a.m. to 12 noon
C. 12:30 p.m. to 1:30 p.m.
D. 2 p.m. to 4 p.m.
E. 1:30 p.m. to 3:30 p.m.

Answer:

Net pay =$ 308

Step-by-step explanation:

Net pay  is the gross pay minus taxes

Net pay = gross pay - gross pay * tax rate

Simplifying this equation by factoring out gross pay

Net pay = gross pay (1- tax rate)

Gross pay =  hours worked * hourly rate

Substituting this in

Net pay = hours worked * hourly rate (1- tax rate)

We know the

hours worked = 40

Hourly rate = 8.75

tax rate = .12

Net pay = 40 * 8.75 (1- .12)

Net pay = 350(.88)

Net pay =$ 308

Answer:

B

Step-by-step explanation:

8x + 8y = 24

-8x on both sides

8y = -8x + 24

Divide by 8 on both

y = -x + 3

Answer:

B

Step-by-step explanation:

(÷8)8x + 8y = 24(÷8)

x + y = 3

y = - x + 3

If x is negative, then the function is decreasing.

y = - x + 3

When x = 0

y = - 0 + 3

y = 3

(0,3)

When y = 0

- x + 3 = 0

- x = - 3

x = 3

(3,0)

Alternative B

I hope I helped you.

Answer:

Value of the car is decreasing by 13.9% each year.

Step-by-step explanation:

This equation tells us V(t) is the value of the car after a certain time in years, $21,000 is the initial value of the car.  What we need to focus on is on the 0.861 part of this equation.  This means that the price of the car is worth 0.861 or 86.1% of what it was worth the year prior, this means that the price of the car is decreasing over time.  By how much is it decreasing? Well if we consider 1 to mean 100% (since 100 / 100 =1) then we have 100%-86.1%=13.9%.  This means that the value of the car is decreasing 13.9% each year.

Answer:

[tex]3 \cdot 10^{-10}[/tex]

Step-by-step explanation:

[tex]\dfrac{1.2\cdot 10^{-3}}{4\cdot 10^{6}}=\dfrac{12\cdot 10^{-4}}{4\cdot 10^{6}}\\\\=\dfrac{12}{4}\cdot 10^{-4-6}=3\cdot 10^{-10}[/tex]

I like to adjust the operands so the quotient needs no adjustment. Here that means rewriting the numerator to an equivalent value with a mantissa between 4 and 40.

Answer:

Hence, Option 1 is correct equation [tex]s=4\sqrt{d}[/tex]

Step-by-step explanation:

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. the stopping distances and speeds are shown in the table.

     d         s  

    20      17.89

    40      25.30

    60      30.98

    80      35.78

  100       40.00

We will check each option for table.

[tex]s=4\sqrt{d}[/tex]

For d=20, Put d=20 into [tex]s=4\sqrt{d}[/tex]

[tex]s=4\sqrt{20}\approx 17.89[/tex]

For d=40, Put d=40 into [tex]s=4\sqrt{d}[/tex]

[tex]s=4\sqrt{40}\approx 25.30[/tex]

For d=60, Put d=60 into [tex]s=4\sqrt{d}[/tex]

[tex]s=4\sqrt{60}\approx 30.98[/tex]

For d=80, Put d=80 into [tex]s=4\sqrt{d}[/tex]

[tex]s=4\sqrt{80}\approx 35.78[/tex]

For d=100, Put d=100 into [tex]s=4\sqrt{d}[/tex]

[tex]s=4\sqrt{100}\approx 40.00[/tex]

All the value of table satisfy the first equation.

Hence, Option 1 is correct equation [tex]s=4\sqrt{d}[/tex]

Answer:

D) [tex](x-5)^2 + (y-2)^2 = 49[/tex]

Step-by-step explanation:

Center is (5,2) and radius = 7

We use center - radius form of equation of circle

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Where (h,k) represents the center

and r is the radius of the circle

We know center is (5,2)  so h= 5  and k =2

r= 7

Plug in all the values

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

[tex](x-5)^2 + (y-2)^2 = 7^2[/tex]

[tex](x-5)^2 + (y-2)^2 = 49[/tex]

Answer:

There should be 120 peanuts

Step-by-step explanation:

We can use ratio's to solve this problem

5 bags

---------------

75 peanuts

5 bags           8 bags

---------------  = ------------------

75 peanuts      x peanuts

Using cross products

5x = 75*8

5x = 600

Divide each side by 5

5x/5 = 600/5

x = 120

Answer:

if 5 bags of peanuts = 75peanuts

Then 1 bag will be 15 peanuts beacause 75 divided by 5 is 15

8 bags of peanuts will then be 15 multiply by 8 which is 120 peanuts

Step-by-step explanation:

∠A ≅ ∠T . . . . given

AX ≅ TX . . . . given

∠AXM ≅ ∠TXH . . . . vertical angles are congruent

ΔAXM ≅ ΔTXH . . . . ASA theorem

MX ≅ HX . . . . CPCTC

___

The acronyms that invoke theorems based on two or three sides being congruent are inapplicable in this case.

SSS

SAS

Answer:

The probability of a leg bone measuring less than 62 inches is about 75% (74.86%).

Step-by-step explanation:

To answer this question we can calculate the z-score, then use a table to look up a corresponding percentile using z tables.

The length is a random variable with mean = 60 in and standard deviation of 3 in and we are looking at a particular sample that 62 in long. That sample has the following z value:

[tex]z = \frac{62 - \mu}{\sigma}=\frac{62-60}{3}=\frac{2}{3}\approx0.67[/tex]

The area under the normal distribution curve that corresponds to the z value of 0.67 (using a z table - available on line) is 0.7486. This is the probability that a random sample of a fossil leg length is less that our particular value 62 inches. Roughly speaking, the probability of a leg bone less than 62 in is about 75% (aka 75-th percentile).

Answer:

Three cubes

Step-by-step explanation:

The cubes have to be indistinguishable and all orientations of one cube are also have to be indistinguishable.

All ways of connecting two cubes result in the same shape. So answer is larger than two.

After connecting two cubes, there are ten faces where the third cube can be attached, and two faces which are connected, accounting for all 12 faces of two cubes.

Of the 10 exposed faces, exactly two are on opposite ends, both leading to the same straight line figure. The other 8 faces all lead to an L shape, and all L shapes can be rotated to be identical.

Hence, three cubes can only make a straight shape or an angled shape.

Four cubes can make a straight shape, a L shape, a Γ shape (but flipping it over through 3 dimensions makes L and Γ identical), a T shape, and a square shape. That is either four or five different objects depending on if they can be lifted from the table. Anyway, it is more than two.

Answer:

Triangle PQR

Step-by-step explanation:

PQR I am just adding extra words so I have a higher word count so it accepts my answer :)

4, 8, 8

At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides). Hence the tiling can be named with three numbers: 4, 8, 8.

Answer:

4, 8, 8

At each node, three faces meet. One is square (4 sides); the other two are octagons (8 sides

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

I hope I helped you.

The simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].

To divide the expression [tex]\(\frac{x^3 - 8}{x^2 + 2x + 4}\) by \((x^2 - 4)\)[/tex], you first factor both the numerator and denominator.

Factor the numerator:

[tex]\[ x^3 - 8 \][/tex]

[tex]\[= (x - 2)(x^2 + 2x + 4) \][/tex]

This is based on the difference of cubes: [tex]\(a^3 - b^3 = (a - b)(a^2 + ab + b^2)\), where \(a = x\) and \(b = 2\).[/tex]

Now, factor the denominator:

[tex]\[ x^2 + 2x + 4 \][/tex]

[tex]\[= (x + 2)^2 \][/tex]

The expression becomes:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \][/tex]

Now, divide by [tex]\((x^2 - 4)\)[/tex]:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) \][/tex]

Factor [tex]\(x^2 - 4\)[/tex] further:

[tex]\[ x^2 - 4 = (x + 2)(x - 2) \][/tex]

Now, cancel out common factors:

[tex]\[ \frac{(x - 2)(x^2 + 2x + 4)}{(x + 2)^2} \div (x^2 - 4) = \frac{x - 2}{x + 2} \][/tex]

Therefore, the simplified expression is [tex]\( \frac{x - 2}{x + 2} \)[/tex].

Complete question:

Simplify: X^3-8/x^2+2x+4 divided by (x^2-4)

Answer:

8 5 and 6 are the coefficients

Step-by-step explanation:

For this case we have that by definition, a coefficient is the term that accompanies a variable. If we have the expression given by:

[tex]8x + 5 + 6y[/tex]

The number "5" is a constant.

Thus, two variables, "x" and "y", are observed.

Thus according to the definition, the coefficients are given by "8" and "6" respectively.

Answer:

8 and 6 are the  coefficients

5 book covers and 2 boxes of pencils

If all 7 were book covers, the cost would be 10.50. The cost is 2.60 more than that. Each box of mechanical pencils costs 1.30 more than a book cover, so there must be 2.60/1.30 = 2 boxes of mechanical pencils (and 5 book covers).

_____

If you want an equation, let p represent the number of pencil boxes. Then 7-p is the number of book covers.

... 1.50(7-p) +2.80p = 13.10

... 1.30p = 13.10 -10.50 . . . . . subtract 10.50, collect terms

... p = 2.60/1.30 = 2 . . . . pencil boxes

... 7-2 = 5 . . . . . book covers

Answer:

a) m = -6/5

b) m = -5/6

Step-by-step explanation:

The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.

__

The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.

To find the total number of people who came to the three showings, divide the total amount collected by the average admission price. Set up equations using the given information for each night and solve simultaneously to find the values of x, y, a, b, p, and q. Add those values to find the total number of people.

To find the total number of people who came to the three showings, we need to divide the total amount collected by the average admission price. Let's calculate:

On the first night, let's assume there were x children and y adults. So, we can set up the equation.

9x + 17y = 541.

Similarly, for the second and third nights, we can set up two more equations:

9a + 17b = 541 and 9p + 17q = 541.

Solving these three equations simultaneously will give us the values of x, y, a, b, p, and q, which represent the number of children and adults present on each night. Adding those numbers together will give us the total number of people who came to the three showings.

https://brainly.com/question/29183899

#SPJ12

Answer:

$5875

Step-by-step explanation:

The simple interest formula for the ending balance is ...

... A = P(1 +rt)

You have principal amount P=5000, interest rate r=0.05, and time t=3.5, so the amount (A) is ...

... A = $5000(1 +0.05·3.5) = $5000·1.175

... A = $5875

Answer:

Option D is correct.

Step-by-step explanation:

We are given that,

'Rectangle ABCD is translated to map onto the rectangle EFGH'.

That is, 'Rectangle ABCD is similar to rectangle EFGH'.

So, we see that,

Rectangle ABCD is rotated towards the left and then decreased in size to map onto EFGH.

That is, we have,

Rectangle ABCD is rotated counter-clockwise by 90° about the origin and then dilated by a factor of [tex]\frac{1}{2}[/tex] with the origin as the center of dilation.

Hence, option D is correct.

Answer:C

Step-by-step explanation:

Formula must be S(x) = (1+1/2)√x = 1.5√x, eliminating A and D. Diagram must show that a zero length boat doesn't move, and that boat length four feet goes 1.5×2 = 3 knots. That eliminates B. Check: C says zero feet goes zero knows and 4 feet goes 3 knots.

Answer:

Graph C

Step-by-step explanation:

We know the speed is equal to one and a half times the square root of the length.  This means that speed is the dependent variable (y), and length is the independent variable (x).  

Since the speed, S(x), is 1.5 times the square root of the length (x), we get the function

S(x) = 1.5√x.

When x = 0, S(x) = 1.5√0 = 1.5(0) = 0.  This makes it graph C.

Answer:

A) $1470

B) 5,88%

Step-by-step explanation:

B) Diana will end up with 100% -16% = 84% of the interest she earns, so her effective interest rate is ...

... 7% × 84% = 5.88%

A) Diana's investment earns ...

... 0.0588 × $25000 = $1470

After paying a 16% tax on the interest, Diana will earn $1,470 in interest. This represents 5.88% of her original $25,000 investment.

Diana invests $25,000 in a bank at 7% interest, which she will receive at the end of the year. However, she must pay taxes at a rate of 16% on the interest earned.

First, we calculate the total interest Diana would earn without taxes:

Total Interest = Principal imes Interest Rate

Total Interest = $25,000 imes 0.07 = $1,750.

Next, we calculate the tax on the interest:

Tax on Interest = Interest Earned imes Tax Rate

Tax on Interest = $1,750 imes 0.16 = $280.

Now, we subtract the tax from the total interest to find the interest after taxes:

Interest After Taxes = Total Interest - Tax on Interest

Interest After Taxes = $1,750 - $280 = $1,470.

We find the percentage of the original investment that the interest after taxes represents:

Percent of Investment = (Interest After Taxes / Principal)  imes 100

Percent of Investment = ($1,470 / $25,000) imes 100 = 5.88%.

Answer:

5

Step-by-step explanation:

The sum of adjacent sides of the rectangle is half the perimeter, 50, so ...

... AH = 50-40 = 10

Then ...

... OP +QR = 10 = 2×OP . . . . . QR ≅ OP

... OP = 5 = PQ . . . . . . . . . . . . PQ ≅ OP

Answer:

34.32%

Step-by-step explanation:

Tom is 45 years old.

Tom earning = $5950 per month

Mortgage payment = $2042

Percentage of amount paid towards mortgage in his income = (2042/5950)*100

=  34.32%

Tom pays 34.32% of his income towards mortgage.

The national average of his age group pays 35% of income towards housing.

Thank you.

Answer:

87600

Step-by-step explanation:

Answer:

87600 hours

Step-by-step explanation:

1 decade = 10 years

1 year = 365  days

1 day = 24 hours

1 decade * 10 years/ 1 decade  * 365 days/ 1 year  * 24 hours / 1 day

87600 hours

Answer:

Domain: (-infinity, infinity)    Range:  (-infinity, infinity)

Step-by-step explanation:

They are parabolas, therefore you can assume that they go on infinitely. To find range, you must look at your y values. Look for your lowest point. Because the line goes done forever, your beginning mark would be (-infinity.

To find the other part, you look at your positive y values. Look for the highest value. Because this goes on infinitely, the completed version of your notation would be (-infinity, infinity). Be sure to use the infinity symbol though, which looks like an 8 rotated 90 degrees.

To find domain, look at your x values. To begin, look at your left-most values, which would be the negative numbers. Because the line goes on forever to the left, your notation would be (-infinity. To find the other part of domain, look at your positive x values. Because this line goes on infinitely as well, the completed version of your notation would be (-infinity, infinity). Infinity is never bracketed, it is always in parenthesis.

$137,557.93

It is convenient to let a spreadsheet do the calculations. The number in the fourth column is the number in the first column divided by the number in the second column and multiplied by the number in the third column.

For example, the weighted average cost of Widgets is ...

... 135,320.00 × 866/2740 = 42,769.02

Then the total of all on-hand inventory is the sum of the inventory costs of the three items: $137,557.93.