To increase an amount by 43% multiply by?

The ordered pair (6,8) represents the number of calls made after the customer service center opened for 6 hours.

Given that the volume of calls, V( h), at a particular customer service center can be written as a function of the number of hours after opening each day, h. So, (6,8) means that the center has been opened for 6 hours and that there have been 8 calls during this period. It represents the value of the volume of calls V(6) which is 8. Therefore, after opening the customer service center for 6 hours, 8 calls were made.

This function has a direct relationship between the number of hours after opening the center and the number of calls made. Therefore, the longer the center is open, the more calls are expected to be received, and vice versa.

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You are 18 years old this year.

Let's call your age this year "x". Next year, your age will be "x + 1".

We know that the sum of the digits of "x" is three times bigger than the sum of the digits of "x + 1". Let's call the sum of the digits of "x" "s1", and the sum of the digits of "x + 1" "s2".

So we have the equation:

s1 = 3 * s2

If we add the digits of "x + 1", we get "s2 = a + b", where "a" and "b" are the digits of "x + 1".

Expanding the equation and substituting "s2":

s1 = 3 * (a + b)

Expanding the left side of the equation:

s1 = 3a + 3b

So the sum of the digits of "x" is three times the sum of the digits of "x + 1".

Now we need to find the values of "x" for which "s1" is three times bigger than "s2".

One possible solution is "x = 18", because:

So the answer is that you are 18 years old this year.

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You are 18 years old this year.

Let's call your age this year "x". Next year, your age will be "x + 1".

We know that the sum of the digits of "x" is three times bigger than the sum of the digits of "x + 1". Let's call the sum of the digits of "x" "s1", and the sum of the digits of "x + 1" "s2".

So we have the equation:

s1 = 3 * s2

If we add the digits of "x + 1", we get "s2 = a + b", where "a" and "b" are the digits of "x + 1".

Expanding the equation and substituting "s2":

s1 = 3 * (a + b)

Expanding the left side of the equation:

s1 = 3a + 3b

So the sum of the digits of "x" is three times the sum of the digits of "x + 1".

Now we need to find the values of "x" for which "s1" is three times bigger than "s2".

One possible solution is "x = 18", because:

"s1" = 1 + 8 = 9

"s2" = 1 + 9 = 10

9 = 3 * 10

So the answer is that you are 18 years old this year.

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Answer: Caroline = 225

Step-by-step explanation:

Let Sarah be x

Caroline will be 3x

Bridget will be 2(3x) = 6x

x + 3x + 6x = 750

10x = 750

x = 750 / 10 = 75

Caroline gets 3x = 3 * 75 = 225

Answer:

£225

Step-by-step explanation:

let x be the amount Sarah gets, then

Caroline gets 3x ( 3 times as much as Sarah )

Bridget gets 2 × 3x = 6x ( twice as much as Caroline )

Thus

x + 3x + 6x = 750, that is

10x = 750 ( divide both sides by 10 )

x = 75

Thus

Caroline gets 3x = 3 × 75 = £225

Answer:

.

Step-by-step explanam m, mntion:

.

Answer:

area of the parallelogram =base×height

=4cm×1cm

=4cm²

The scaling factor is 2: 1, the distance between Q and S is 3 units.

A scale factor is a number or conversion factor used to adjust the size of a figure without changing its shape. It is used to enlarge or reduce the size of an object. If the original dimensions are known, the scaling factor may be determined.

When describing a shape, you must define the amount to which it has been enlarged.

AC = 6

It signifies that the 6/3 = 2:1 scale factor has been preserved.

As a result, the total dimension of PQRS is half of ABCD.

So,

QS = 1/2 (BD)

Because BD = 6, (can be counted by graph grid)

So,

QS = 1/2 (5) = 3

Hence "Because the scale factor is 2: 1, the distance between Q and S is 3 units."

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The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.

An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."

In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.

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Answer:

17.8

Step-by-step explanation:

:)

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).

The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.

Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

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Answer:

Option B, -9

Hope this helps!

To determine the credit card daily interest rate that would make the second option more attractive than the first one, we need to compare the total cost of borrowing for each option.

The second option has an APR of 2% compounded yearly. By calculating the total cost of borrowing for the loan option, we can find the equivalent daily interest rate. If the daily interest rate of the credit card exceeds this calculated rate, the second option would be more attractive.

To find the credit card daily interest rate that would make the second option more attractive, we first calculate the total cost of borrowing for the loan option. Using the formula for compound interest, the total cost can be determined as the principal plus the accumulated interest over 10 years with an APR of 2%. Once the total cost is obtained, we divide it by the number of days in 10 years to find the equivalent daily interest rate.

If the daily interest rate of the credit card exceeds this calculated rate, it means that the cost of borrowing with the credit card would be higher than the second option. Therefore, to make the second option more attractive, the credit card's daily interest rate would need to be lower than the calculated rate from the loan option.

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A number first squares it, then takes away 1, next multiplies it by 2, takes away 6, divides it by 4 and finally adds 5. the answer is 11

then the number is 4

According to the question, given that

A number first squares it, then takes away 1, next multiplies it by 2, takes away 6, divides it by 4 and finally adds 5. the answer is 11

Square of 4 = 16

16 - 1 = 15

15 * 2 = 30

30 - 6 = 24

24 ÷ 4 = 6

then add 5

6 + 5 = 11

Therefore, after solve we get 11 and the number is 4.

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A number is first squared, then multiplied by 2, then divided by 4, then added, before having 1 subtracted from it. The solution is 11.

then 4 is the number.

In response to the query, assuming that

A number is first squared, then multiplied by 2, then divided by 4, then added, before having 1 subtracted from it. The solution is 11.

Square of 4 = 16

16 - 1 = 15

15 * 2 = 30

30 - 6 = 24

24 ÷ 4 = 6

then add 5

6 + 5 = 11

Therefore, after solve we get 11 and the number is 4.

Answer:161.56

Step-by-step explanation:

8 x5=40

8 x 7.07=56.56

1/2 x 5 x 5 x 2= 25

8 x 5=40

Add that all together

Answer:

The answer is A

Step-by-step explanation:

Hope this helps

The number 8 is the initial amount of gallon of gas in the car before the trip started.

Linear equation are equation in which the highest power of the variable is equals to 1.

Therefore, the equation for Michael driving on a long road trip is as follows:

where

g = number of gallons

h = time in hours

The representation of 8 is as follows;

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If cruz purchased a large pizza for $12.75. It serves 5 people, the cost per serving of the pizza is $2.55. So, correct option is A.

To find the cost per serving of the pizza, we need to divide the total cost of the pizza by the number of servings. In this case, the pizza costs $12.75 and serves 5 people.

Therefore, the cost per serving can be calculated as:

Cost per serving = Total cost of pizza / Number of servings

Cost per serving = $12.75 / 5

Cost per serving = $2.55

So, the cost per serving of the pizza is $2.55.

When working with fractions or dividing quantities, we need to pay attention to the units involved. In this case, the units of the cost and the servings must match for the division to be meaningful.

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In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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Answer:

The hypotenuse is 12 so the other side lengths are 6 and 6sqrt(3). Therefore the perimeter is 18 + 6sqrt(3). i hope it helps if not im glad to help step by step

Step-by-step explanation:

\(700 \times 1 {0}^{3} \)

evaluate the power

\(700 \times 1000\)

multiply the numbers

\( = 700000\)

or in alternate forms

\(7 \times 1 {0}^{5} \)

Answer:

C

Step-by-step explanation:

x4(x4-5)+5(x4-5)

=x8-5x4+5x4-25

x8-25

Answer:

e

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 5y = 1     ⇒    2x = 1 - 5y

y = 2xy + 5

y = (1 - 5y)y + 5

y = y - 5y² + 5

5y² = 5

y² = 1

 y₁ = 1               ∨           y₂ = -1

2x₁ = 1 -5(1)                   2x₂ = 1 - 5(-1)

2x₁ = 1 - 5                      2x₂ = 1 + 5

2x₁ = -4                         2x₂ = 6

 x₁ = -2                           x₂ = 3

Midpoint:

\(M=\left(\frac{x_1+x_2}2\ ,\ \frac{y_1+y_2}2\right)=\left(\frac{-2+3}2\ ,\ \frac{1+(-1)}2\right)=\left(\frac12\ ,\ 0\right)\)

The coordinates of the midpoint of the line AB is (0, 1/2).

The equation of the curve is given by y = 2xy + 5.

The equation of the line is given by 2x + 5y = 1.

We have to first find the point of intersection between the curve and the line and then find the coordinates of the midpoint of line AB where A and B is the point of intersection between the curve and the line.

If C(x, y) divides a line AB in m:n then we have,

\(x = \frac{mx_2 +nx_1}{m+n},~~~y =\frac{my_2+ny_1}{m+n}\)

And if C(x,y) is the midpoint then m = n.

we have,

\(x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\)

Where x and y are the coordinates of the midpoint o the line AB.

Find the point of intersection between the line and the curve.

y = 2xy + 5............(1)

2x + 5y = 1..............(2)

From (2) we have,

2x = 1 - 5yx = (1-5y) / 2..........(3)

Substituting (3) in (1).

\(y =2\frac{(1-5y)}{2}y + 5\\\\y =\frac{2y-10y^2}{2} + 5\\\\2y = 2y - 10y^2 + 10\\\\10y^2 = 10\\\\y^2 = 1\)

So we have,

y = 1 and y = -1

Puttin y = 1 in (3) we get,

x = (1 - 5) / 2 = - 4 / 2 = -2

Puttin y = -1 in (3) we get,

x = {1-5(-1)} / 2 = (1+5) / 2 = 6 / 2 = 3

Now we have two points of intersection A( 1, -2 ) and B( -1, 3 ).

Finding the coordinates of the midpoint of the line AB.

we have,

\(A(1, -2) = A (x_1, y_1)~~and~~B(-1, 3) = B(x_2, y_2)\)

Substituting in the given equation.

\(x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\\\\x = \frac{-1 +1}{2},~~~y =\frac{3+(-2)}{2}\\\\x = 0,~~~y=\frac{1}{2}\)

So the coordinates of the midpoint is (x,y) = ( 0, 1/2 ).

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1. The area of one rhombus is 1.875 square inches.

2. The area of the entire logo is 9.375 square inches.

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

Shape = rhombus

Where we have the diagonals to be 2.5 inches and 1.5 inches

The area of one rhombus is calculated as

Area = product of dimensions/2

Substitute the known values in the above equation, so, we have the following representation

Area = 2.5 * 1.5/2

Area = 1.875

We know that there are 5 shapes

So, we have

Area = 1.875 * 5

Evaluate

Area = 9.375

Hence, the area of the entire logo is 9.375

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An equation to describe the relationship between g, the number of gems, and c, the number of chests is; g = 300c

In adventure A, when number of gems is 600, we see that number of chests is 2. Thus;

Rate of gems per chests = 600/2 = 300 g/c

In adventure B, when number of gems is 1500, we see that number of chests is 5. Thus;

Rate of gems per chests = 1500/5 = 300 g/c

In adventure C, when number of gems is 4800, we see that number of chests is 16. Thus;

Rate of gems per chests = 4800/16 = 300 g/c

Thus;

There is a constant rate and we can say that the equation that shows the relationship between the two variables is;

g = 300c

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Complete question is;

Lulu the Lucky puts chests of gems into her treasure vault. Each chest holds the same number of gems. The table below shows the number of gems Lulu received from three different adventures and the number of chests she needed to hold the gems.

                      Number of gems(g)     Number of chests(c)

Adventure A    600                            2

Adventure B    1500                           5

Adventure C    4800                          16

Write an equation to describe the relationship between g, the number of gems, and c, the number of chests.

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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a) No

b) Yes

1) Let's check algebraically whether (0,0) is the solution set

-2x +3y > 9 Plug into x and y the values of 0,0

-2(0) +3(0) > 9

0 > 9 FALSE! Since 0 can't be greater than 9

1.5x - y ≥ -4 Plug into x and y the values of 0,0

1.5(0) -0 ≥ -4

0 ≥ -4 True

2) Hence, point (0,0) verifies only the second equation.

Answer:

27 :)

Step-by-step explanation:

$27 it D

Step-by-step explanation:

-5±11

Our equation: 2x^2 + 5x - 12 = 0

Formula: x=-b±√b^2-4ac/2a

Formula: ax^2+bx+c=0

variable a=2 DO NOT INCLUDE x^2

variable b=5 DO NOT INCLUDE x

variable c=-12

x=-5±√5^2-4*2*-12/2*2

x=-5±√25+96/4

x=-5±√121/4

x=-5±11/4

-5±11 is the answer since were looking for any of the occurring numorators. Hope this helped!

Answer:

-5±11

Step-by-step explanation:

Just did a test