Tammy knits blankets and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104. On the second day of the craft fair, she sells 3 blankets and 4 scarves for $128. How much does 1 blanket cost?

Answer:

\(t = 1.71825\)

Step-by-step explanation:

Given

\(h(t) = -16t^2 + 24t + 6\)

Required

When will the coin hit the ground

When the coin hits the ground, \(h(t) = 0\)

The expression \(h(t) = -16t^2 + 24t + 6\) becomes

\(0 = -16t^2 + 24t + 6\)

Multiply through by -1

\(16t^2 - 24t - 6 = 0\)

Solve using quadratic formula

\(t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)

Where

\(a = 16\)

\(b = -24\)

\(c = -6\)

\(t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}\)

\(t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}\)

\(t = \frac{24\±\sqrt{576 +384}}{32}\)

\(t = \frac{24\±\sqrt{960}}{32}\)

\(t = \frac{24\±30.984}{32}\)

Split

\(t = \frac{24+30.984}{32}\) or \(t = \frac{24-30.984}{32}\)

\(t = \frac{54.984}{32}\) or \(t = \frac{-6.984}{32}\)

\(t = 1.71825\) or \(t = -0.21825\)

But time can't be negative;

So:

Time to hit the ground is 1.71825 seconds

Answer:

y - 3 = 4/3 * (x-3)

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Answer:

I think its OC

Hope it helps

Answer:

5m+6

Step-by-step explanation:

2m-6 + 3m+12 = 5m+6

The mean of the 10 sales amounts for store A is $40,000

The  least-squares regression line is

y=-3000+1.2x

where

x represents the sales amounts each day at store A

y represents the sales amounts each day at store B

we have

y=$45,000

substitute the value of y in the linear equation and solve for x

45000=-3000+1.2x

1.2x=48000

x=40000

therefore

The mean of the 10 sales amounts for store A is $40,000

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Answer: 5

Step-by-step explanation: because 5x5 is 25, and in the ones place is 5, and 5 is a factor of 25 so it works

Answer: The digits present in the one's place of a number that has a factor of 5 are 0 and 5.

Step-by-step explanation:

Answer:

X>8-3

X>5

So choose the third one

Step-by-step explanation:

Answer:

x-8>-3

x>-3+8

x>5

because in 2 step + - = - but the sign should use of greater number so in last step the value of 5 is + .

Equivalent expressions are expressions with equal values

The decimal equivalent to 120% is 1.20

The percentage is given as:

n = 120%

Express as fraction

\(n = \frac{120}{100}\)

Divide

n =1.20

Hence, the decimal equivalent to 120% is 1.20

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Answer:

If the beekeeper takes so much honey off, the bees can face malnutrition during times of starvation or wintering in colder climates. Depending on how the beekeeper extracts honey from the hive, the bees will be irritated and face a lot of maintenance work after the frames have been removed and replaced.

Step-by-step explanation:

Answer:

IF the beekeeper takes too much honey off, the bees may face starvation during periods of dearth or wintering in colder climates.

Step-by-step explanation:

To find the exact value, we would need to evaluate the definite integral, but it may not be practical to do so without further information or using numerical methods.

To find the average value of a function on a closed interval, you need to calculate the definite integral of the function over that interval and divide it by the length of the interval. In this case, we want to find the average value of the function f(x) = 3xsin(x) on the interval 1 ≤ x ≤ 7.

The average value of f on the interval [1, 7] is given by the formula:

Average value = (1/(b - a)) * ∫[a to b] f(x) dx

where a and b are the endpoints of the interval.

In our case, a = 1, b = 7, and f(x) = 3xsin(x). So, we can calculate the average value as follows:

Average value = (1/(7 - 1)) * ∫[1 to 7] (3xsin(x)) dx

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Answer:

lma ooo how many times did you post

4x^2 - 16x + 8

Step-by-step explanation:

4(x-2)^2-8

4(x-2)(x-2)-8

4{x^2-4x+4}-8

4x^2 - 16x +16 - 8

4x^2 - 16x + 8

The expression for the exact number of inches in 1 centimeter is 1/2.54.    Using a calculator to evaluate the expression gives 0.39370074. There may be a slight difference when converting due approximation of figures

Given the conversion facts:

1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch

a. The expression for the exact number of inches in 1 centimeter will be:

1 centimeter  = 1/2.54           (Since 1 inch = 2.54 centimeters)

b. Using a calculator to evaluate the expression in (a) will give:

1 centimeter  = 1/2.54  = 0.39370074

The measurement conversion may be slightly different when converting between metric units and U.S. custumary units because of the approximation of figures when converting from one unit to the other

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Answer:

A. x=-15 and x=3

Step-by-step explanation:

|x+6|+8=17

|x+6|=9

-1(x+6)=9   x+6=9

-x-6=9      x=3

-x=15

x=-15

Answer: 2x+1

Step-by-step explanation:

Answer:

B and then A

Step-by-step explanation:

volume is × so the . means times

so it's the only option

and then the second area is

6×3×4= 72cm³

Answer:

Alternate interior: angle 2 and angle 13

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11

Answer:

Vertical: angle 12 and angle 15

Alternate exterior: angle 5 and angle 10

No relationship: angle 1 and angle 16

Corresponding: angle 14 and angle 16

Consecutive interior: angle 4 and angle 11Step-by-step explanation:

Answer:

messy... but hope it helps you.

Answer:

The claim states a “truth” that two reasonable people might disagree about.

Step-by-step explanation:

ive done this quiz

The meridians of longitude identify the degrees east and west of the Prime Meridian. These lines are scientifically based because they are determined by the Earth's rotation and provide a consistent and accurate system for navigation, mapping, and timekeeping.

1. The meridians of longitude are imaginary lines that run vertically from the North Pole to the South Pole on the Earth's surface.
2. The Prime Meridian, located at 0 degrees longitude, serves as the starting point for measuring degrees east and west.
3. The degrees of longitude are divided into 360 equal parts, with each degree representing one hour of the Earth's rotation.
4. The meridians of longitude allow us to determine specific locations on the Earth's surface and measure the angular distance from the Prime Meridian.
5. The scientific basis of meridians of longitude enables global coordination and facilitates activities such as international travel, communication, and scientific research.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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For the proportional relationship, we have found that:

a)  The complete table is:

x        y

14      21

64      96

26      39

1         3/2

b) The equation is:

y = (3/2)*x

A proportional relationship between two variables can be written as:

y = k*x

Where k is the constant of proportionality.

a) If we look at the table we can see the pair (14, 21), replacing that in the proportional relation we have:

21 = k*14

(21/14) = k

(3/2) = k

Then the equation is:

y = (3/2)*x

To complete the table, we need to evaluate the other values in the given equation.

for x = 64 we have:

y = (3/2)*64 = 96

for y = 39 we have:

39 = (3/2)*x

x = (2/3)*39 = 26

For x = 1 we have:

y = (3/2)*1 = 3/2

Then the complete table is:

x        y

14      21

64      96

26      39

1         3/2

b) We already found the equation, it is:

y = (3/2)*x

c) Just graph the above pairs (the ones from the table) and connect them with a line, an example can be seen below.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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Answer:

A.)

B.)

The area bounded by the curve y = 8 − x³ and the x-axis is 15.5 square units.

The area bounded by the curve y = 8 − x³ and the x-axis is illustrated below. We need to determine the region's bounds and the integral to solve for the area.We need to determine the x-intercepts of the curve y = 8 − x³. Because the curve passes through the origin, it must have at least one x-intercept.

To find x, we set y = 0, 0 = 8 − x³, x³ = 8, x = 2.

The region is bounded by the curve y = 8 − x³, the x-axis, and the lines x = 0 and x = 2.

We have:∫₀² (8 - x³) dx

The area is calculated as follows:∫₀² (8 - x³) dx= [8x - (1/4) x⁴]₀²= (8(2) - (1/4)(2⁴)) - (8(0) - (1/4)(0⁴))= 15.5 square units

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