Karana's mom bought her two items using a credit card. The first item cost $235, and the second item cost $369. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
A.-$134
B.$134
C.$604
D.-$604

Answer:

f(2) = 1

x = 0

Step-by-step explanation:

f(2) = 1 since y=1 when x=2.

f(0) = -3 since x=0 when y=-3

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

Answer:

n = 1

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(n − 6) = 20

Step 1: Simplify both sides of the equation.

−2(n − 6) = 20

(−2)(n) + (−2)(−6) = 20(Distribute)

−2n + 12 = 20

Step 2: Subtract 12 from both sides.

−2n + 12 − 12 = 20 − 12

−2n = 8

Step 3: Divide both sides by -2.

\(\frac{-2n}{-2} = \frac{8}{-2}\)

n = -4

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Answer:

b. 12

Explanation:

We are told that the two triangles are congruent. This means that they are exact copies of each other.

Now for triangle ABC, the side BC is the same as the side EF in the triangle DEF. This means BC = EF.

Since BC measures 12 units, then the length of EF is also 12 12 units.

Therefore, choice b is the correct answer.

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Answer:

2mn

Step-by-step explanation:

To solve the expression 14m^2n^2/7mn, we need to simplify the fraction.

First, we can simplify the numerator by combining the 14 and m^2:

14m^2 * n^2 / 7mn = (14m^2) * (n^2) / (7mn) = 14mn * mn / 7mn = 14mn / 7

Next, we can simplify the denominator by  7

14mn / 7  = 14 / 7 = 2mn

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

You mail a survey to every 10th address from a list of retirement community addresses is the  survey which is most likely to give you a random sample

This method is most likely to give a random sample because it is based on a systematic random sampling approach, where every 10th address from a list of retirement community addresses is selected.

This helps to ensure that every member of the population has an equal chance of being included in the sample, which makes it more representative of the population as a whole.

Hence, You mail a survey to every 10th address from a list of retirement community addresses is the  survey which is most likely to give you a random sample

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Answer:

24oz in all so if there are 8oz in each cup then there are-- 3 cups --

Step-by-step explanation:

because 8x3=24

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:

Step-by-step explanation:

the whole $100 was from your parents, and none of the change is yours. After giving back each parent one dollar, you actually still owe them . 50.So if you originally owe each of them 50, and the change is 3, that means half of the 3 goes to each of your parents, and you stole

There's no missing money. Take a look at the problem carefully....

Your parents gave you 50 pesos each, if you return 1 peso to them respectively then the money you owe them altogether will be 98 pesos (49 + 49 = 98). Now, you have the remaining 1 peso with you that you got from the shopkeeper. Subtract it from the 98 pesos you have. You'll get 97 pesos, which is = to the amount you payed for the shirt. Simple!

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:

I don't know sorry :((((((((((((((((

Step-by-step explanation:

We want to find which of the following numbers has greatest absolute value:

We will find each one of the absolute values, remembering that the absolute value of a number is the distance of that number from 0, and that it is always a positive number.

Answer:

Step-by-step explanation:

3.1:

Using the compound angle expansion, we have:

sin 2x = sin(x + x) = sin x cos x + cos x sin x

sin 2x = 2 sin x cos x

Therefore, sin 2x = 2 sin x cos x.

3.2:

Using the result from 3.1:

3.2.1: sin 100° = 2 sin 50° cos 50° = sin 100° = 0.766

3.2.2: sin 46° = 2 sin 23° cos 23° = sin 46° = 0.719

3.2.3: sin 40° = 2 sin 20° cos 20° = sin 40° = 0.642

3.3:

Using the identity sin(a ± b) = sin a cos b ± cos a sin b:

3.3.1: 2 sin 19° cos 19° = sin 38° = sin (45° - 7°) = sin 45° cos 7° - cos 45° sin 7° = (1/√2)cos 7° - (1/√2)sin 7° = -sin (7° - 45°) = -sin 38°

Therefore, 2 sin 19° cos 19° = -sin 38°.

3.3.2: 2 cos 40° sin 40° = sin 80° = sin (45° + 35°) = sin 45° cos 35° + cos 45° sin 35° = (1/√2)cos 35° + (1/√2)sin 35° = sin (35° + 45°) = sin 80°

Therefore, 2 cos 40° sin 40° = sin 80°.

3.3.3: sin 25° cos 155° = (1/2)(sin 180°) = 0

Therefore, sin 25° cos 155° = 0.

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 1: Lawyer

Null Hypothesis: There is no association between handedness and career for Lawyers.

Alternative Hypothesis: There is an association between handedness and career for Lawyers.

Profession 2: Pilot

Null Hypothesis: There is no association between handedness and career for Pilots.

Alternative Hypothesis: There is an association between handedness and career for Pilots.

Profession 3: Accountant

Null Hypothesis: There is no association between handedness and career for Accountants.

Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 4: Nurse

Null Hypothesis: There is no association between handedness and career for Nurses.

Alternative Hypothesis: There is an association between handedness and career for Nurses.

Profession 5: Teacher

Null Hypothesis: There is no association between handedness and career for Teachers.

Alternative Hypothesis: There is an association between handedness and career for Teachers.

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A square field has an area of 22,500 square feet, then the diagonal distance across the field in nearest foot is equal to 212 foot (approximately).

As given in the question,

Area of the square field = 22,500square feet

Let 'a' be the side and 'd' be the diagonal length of the square

a² =22,500

⇒a =150 foot

Using Pythagoras theorem

d² =a² +a²

⇒d² = 2(150)²

⇒d² =45000

⇒d =212.13

    ≈ 212 nearest foot (approximately)

Therefore, the diagonal distance across the field in nearest foot is 212 foot (approximately) with  area of 22,500 square feet as given.

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We are given the following expression:

To solve for "y" we will add 10 to both sides:

Adding like terms:

To find the total amount that the Weaver family spent on their dinner, you need to add the tip to the original bill. To calculate the tip, you need to multiply the cost of the dinner by the percentage of the tip: $52.75 × 22% = $11.61.

Then, you can add the tip to the original bill to find the total cost of the dinner: $52.75 + $11.61 = $64.36.

Therefore, the Weaver family's total bill for their dinner was $64.36.

Answer:

Step-by-step explanation:

Given:

Find the volume of one pot:

From the number above we see the volume of each pot is greater than the volume of soil Ann has, so she can't fill any.

The answer is zero

Note. If the volume unit of soil was in³ the answer would be different

The circumference of the circle which has a diameter of 32 inches is 100.5 inches to the nearest tenth.

Given that,

Diameter of a circle = 32 inches

Radius = Half of the diameter

           = 32/2

           = 16 inches

The formula to find the circumference of the circle is,

Circumference = 2πr, where r is the radius of the circle.

Circumference = 2π × 16 = 32π inches

                                         = 100.48 inches ≈ 100.5 inches

Hence the circumference of the circle is 100.48 inches.

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The calculated scale factor from ABC to A'B'C is 1/3

From the question, we have the following parameters that can be used in our computation:

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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Answer:

-7/5

Step-by-step explanation:

1. 1/3 of a full rotation: The coordinates of point P after rotating 1/3 of a full rotation counterclockwise are approximately (0.5, 0.866).

2. 1/2 of a full rotation: The coordinates of point P after rotating 1/2 of a full rotation counterclockwise are (-1, 0).

3. 2/3 of a full rotation: The coordinates of point P after rotating 2/3 of a full rotation counterclockwise are approximately (-0.5, -0.866).

1/3 of a full rotation:

To find the coordinates of point P after rotating 1/3 of a full rotation counter clockwise, we need to determine the angle of rotation.

A full rotation around the unit circle is 360 degrees or 2π radians.

Since 1/3 of a full rotation is (1/3) \(\times\) 360 degrees or (1/3) \(\times\) 2π radians, we have:

Angle of rotation = (1/3) \(\times\) 2π radians

Now, let's use the properties of the unit circle to find the new coordinates.

At the initial position, point P is located at (1, 0).

Rotating counterclockwise by an angle of (1/3) \(\times\) 2π radians, we move along the circumference of the unit circle.

The new coordinates of point P after the rotation will be (cos(angle), sin(angle)).

Substituting the angle of rotation into the cosine and sine functions, we get:

New coordinates of P = (cos((1/3) \(\times\) 2π), sin((1/3) \(\times\) 2π))

Calculating the values:

cos((1/3) \(\times\) 2π) ≈ 0.5

sin((1/3) \(\times\) 2π) ≈ 0.866

Therefore, the coordinates of point P after rotating 1/3 of a full rotation counterclockwise are approximately (0.5, 0.866).

1/2 of a full rotation:

Following a similar process, when rotating 1/2 of a full rotation counterclockwise, we have an angle of (1/2) \(\times\) 2π radians.

New coordinates of P = (cos((1/2) \(\times\) 2π), sin((1/2) \(\times\) 2π))

Calculating the values:

cos((1/2) \(\times\) 2π) = cos(π) = -1

sin((1/2) \(\times\) 2π) = sin(π) = 0

Therefore, the coordinates of point P after rotating 1/2 of a full rotation counterclockwise are (-1, 0).

2/3 of a full rotation:

For a rotation of 2/3 of a full rotation counterclockwise, the angle is (2/3) \(\times\) 2π radians.

New coordinates of P = (cos((2/3) \(\times\) 2π), sin((2/3) \(\times\) 2π))

Calculating the values:

cos((2/3) \(\times\) 2π) ≈ -0.5

sin((2/3) \(\times\) 2π) ≈ -0.866

Therefore, the coordinates of point P after rotating 2/3 of a full rotation counterclockwise are approximately (-0.5, -0.866).

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Answer:

1 . Segment EF is twice as as segment AB

4. The length of segment EH is 16 units

Step-by-step explanation:

Quadrilateral EFGH was created by increasing all the length segments of quadrilateral ABCD proportionally by multiplying the lengths of ABCD by a scale factor.

Scale factor used = GH/CD = 12/6 = 2

Let's examine each statements to see which is true or not true:

1 . "Segment EF is twice as as segment AB."

This is true. EF corresponds to AB. Since scale factor = 2, length of any segment of quadrilateral EFGH would be twice the length of quadrilateral ABCD.

2. "Segment CD is twice as long as segment FG."

This is not true, because segment CD does not correspond to segment FG. Segments in EFGH are twice as the corresponding segments in ABCD.

3. "The measure of angle HEF is twice the measure of the angle DAB."

This is not true. Shape remains the same. Only the size changes.

4. "The length of segment EH is 16 units".

This is true because EH is twice the corresponding segment in ABCD, which is 2"AD = 2*8 = 16 units.

5. "The area of EFGH is twice the are of ABCD"

This is not true. Area of the scaled copy would be times 4 of the original figure.

Answer:

B

Step-by-step explanation:

-2 + 12 = 10