Which graph shows a system with no solutions?

Answer: 155 miles.

Step-by-step explanation:

Assuming she spent two total hours going 60 mph, that means she covered 120 miles on the highway. 1 hour going 35 mph means she traveled 35 miles in that hour.

120 + 35 = 155.

Answer:

A is correct answer

Here, we want to write an equation for a depreciation

The general form is;

V is the present value in 2005

I is the initial value in 1990 which is 34,400

r is the decrease rate which is 1.7/100 = 0.017

t is the difference in years which is 2005-1990 = 15

Substituting these values, we have

V = 34,400(1-0.017)^15

V = 22,407.65 km^2

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Answer:

➢ The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. Example 1 : Lisa and Linda have got the same amount of money. ... Multiply both sides by 4.

Step-by-step explanation:

HOPE IT WILL HELP YOU

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The arc measures on the given circle are as follows, using theorems:

1. Arc CE: 148º.

2. Arc BD: 6º.

The measure of Arc CE is found applying the central angle theorem, which states that the measure in degrees of the arc is twice the measure of the inscribed angle from these points.

The measure of the inscribed angle is of m<1 = 74º, hence the measure of the arc is given as follows:

m<Arc CE = 2 x 74º = 148º.

The measure of arc BD is found applying the outside angle theorem, which states that the measure of the arc formed by two secants of the circle is half the difference of the measures of the intercepts arcs.

Hence, in the context of this problem, the measure of arc BD is obtained as follows:

34 = (74 - BD)/2

74 - BD = 68

BD = 6º.

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Answer: The Egyptians, Babylonians, and Archimedes.

Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi.  At the time, Egyptians devised the approximated value of pi as 3.1605.  Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.  

Hopefully, this helps you!

The probability of a randomly selected person from this group visiting a physical therapist is 0.68.

The probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible. Let A denote the event that the person visits a physical therapist, and let B denote the event that the person visits a chiropractor. Now, we need to use the laws of probability to arrive at each individual probability i.e. P(A) and P(B).

Given: P(A∩B)=0.28

(ii) P(AC∩BC)=0.08

(iii) P(A)−P(B)=0.16

Required: P(A)

By the laws of inclusion/exclusion,

P(A∪B)=P(A)+P(B)−P(A∩B)

Therefore,

P(A)+P(B)=P(A∩B)+P(A∪B)

By DeMorgan's Law,

P(AC∩BC)=1−P(A∪B)

Therefore,

P(A)+P(B)=0.28+1−0.08=1.2

By adding the equation,

P(A)−P(B)=0.16

we get

2P(A)=1.36

Therefore, P(A)=0.68

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area=108 in. squared

12/2 gives you the radius (6)

6 squared is 36

36 times 3 is 108

The line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.

A perpendicular line is a line that intersects another line at 90 degrees or normal to the line.

A parallel line is a line that never intersect with another. In this type of line, the angle between the two parallel lines is zero.

Thus, the line HF that is perpendicular to GF and parallel to AE is presented in the image uploaded.

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The correct statement when constructing a scatterplot is: a. The independent variable is the input variable and should be represented by the x-axis.

The dependent variable is the output variable and should be represented by the y-axis. In a scatterplot, each data point is represented as a point on the plot, with the x-coordinate corresponding to the value of the independent variable and the y-coordinate corresponding to the value of the dependent variable.

By plotting these points, we can visually examine the relationship between the two variables, whether it is positive or negative correlation or no correlation at all.

Hence, it is essential to label the axes accurately to avoid any misinterpretation of the plot.

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Step-by-step explanation:

You already know what the hour is so you just need to find the minute. Every number is at a 5 tick interval. So you can count by 5 or multiply 5x5.

Answer:

4:25

Step-by-step explanation:

Every number on the clock is 5 minutes. 5 * 5 = 25.

Answer:

A = (1/2)(7.7 + 2.3)(6) = (1/2)(10)(6) = 30 in.^2

Answer:

A = ( 7.7 + 2.3 ) x 6 / 2

A = 10 x 6 / 2

A = 60 / 2

A = 30 in^2

hope this helps:) !!!

Answer: 341 + 35 = 376

Step-by-step explanation:

Step-by-step explanation:

376........................

Answer:

the exact answer is x = -∛2.

Step-by-step explanation:

The average value of a function over an interval [a, b] is given by:

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

In this case, the interval is [−2, 0], so a = -2 and b = 0.

Avg = (1 / (0 - (-2))) * ∫[-2 to 0] (9x^3) dx

= (1 / 2) * ∫[-2 to 0] (9x^3) dx

= (1 / 2) * [9/4 * x^4] | [-2 to 0]

= (1 / 2) * (9/4 * (0^4 - (-2)^4))

= (1 / 2) * (9/4 * (0 - 16))

= (1 / 2) * (9/4 * (-16))

= (1 / 2) * (-36)

= -18

The average value of f(x) = 9x^3 over the interval [-2, 0] is -18.

Now, we need to find the points in the interval where the function takes on this average value of -18.

Setting f(x) = -18, we have:

9x^3 = -18

Dividing both sides by 9:

x^3 = -2

Taking the cube root of both sides:

x = -∛2

Therefore, the point cc in the interval [-2, 0] where f(x) = 9x^3 takes on its average value of -18 is x = -∛2.

i hope i helped!

Answer:

The correct answer choice is Step1; 15x -20; Step 2: 15=21

Step-by-step explanation:

you have to distribute then subtract

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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A boolean expression can have one of the two values, true or false and is often used in if statements.

Given: To identify what is used in if statements that has either of the two values, true or false.

What are boolean expressions?

Boolean expressions are logical statements that can either be true or false.

Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.

For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"

NOTE: There are two boolean variables : TRUE and FALSE

The boolean value TRUE is equivalent to 1 in the integer domain.

The boolean value FALSE is equivalent to 0 in the integer domain.

The common operators that are often used in boolean expressions are OR, AND and NOT.

For example: 7 > 6 OR 0 < 90

Now 7 > 6 is TRUE, also 0 < 90 is TRUE

So, TRUE OR TRUE gives TRUE

Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.

The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.

"if" statements works on boolean values TRUE and FALSE.

It's like IF this is TRUE do this or ELSE do that.

The structure of if statement is:

if <condition>

    //statements [executed if condition is TRUE]

else

    //statements [executed if condition is FALSE]

Hence a boolean expression can have one of the two values, true or false and is often used in if statements

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A Boolean expression can have one of the two values, true or false and is often used in if statements.

We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.

We need to identify the expression that they are talking about.

We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.

Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.

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Answer:

  B, C

Step-by-step explanation:

The only statements that must be true are ones that describe the markings on the diagram:

 NO as an angle bisector

  N is the vertex of a pair of congruent angles

_____

The only other fact that must be true is that segments on the left side of the diagram are proportional to those (corresponding) on the right. (This is a property of the angle bisector.) There is nothing that says the sides must be equal, or that the triangle is isosceles.

Answer:

1 : 10000

Step-by-step explanation:

Energy of a photon of x-rays of wavelength = 0.05 nm

Energy of a photon of visible light of wavelength = 500 nm

The ratio is given as;

0.05 : 500

1 : 10000

Therefore, ratio of the energy of a photon of x-rays of wavelength to that of a photon of visible light of wavelength is 1 : 10000

1. To calculate the APR (Annual Percentage Rate) for the terms of trade 2/15 net 60, we need to determine the effective interest rate per period. Here, the terms offer a 2% cash discount if payment is made within 15 days; otherwise, the full amount is due within 60 days. Assuming a year has 360 days, the APR can be calculated as follows:

APR = (Discount % / (1 - Discount %)) x (360 / (Term - Discount Period))

   = (0.02 / (1 - 0.02)) x (360 / (60 - 15))

   = (0.02 / 0.98) x (360 / 45)

   = 0.0204 x 8

   = 0.1632 or 16.32%

Therefore, the APR for the terms 2/15 net 60 is approximately 16.32%.

To find the effective rate of forgoing the cash discount, subtract the discount rate from 1 and multiply by the reciprocal of the difference in discount and credit periods:

Effective Rate = (1 - Discount %) / (1 - (Discount % x Credit Period))

             = (1 - 0.02) / (1 - (0.02 x 60))

             = 0.98 / 0.88

             = 1.1136 or 111.36%

Therefore, forgoing the cash discount has an effective rate of approximately 111.36%.

2. For the terms of sale 1/7, net 21, the APR and effective rate can be calculated similarly. The discount rate is 1%, and the credit period is 21 days.

APR = (0.01 / (1 - 0.01)) x (360 / (21 - 7))

   = (0.01 / 0.99) x (360 / 14)

   = 0.0101 x 25.71

   = 0.2598 or 25.98%

The APR for the terms 1/7 net 21 is approximately 25.98%.

Effective Rate = (1 - Discount %) / (1 - (Discount % x Credit Period))

             = (1 - 0.01) / (1 - (0.01 x 21))

             = 0.99 / 0.79

             = 1.2532 or 125.32%

Forgoing the cash discount has an effective rate of approximately 125.32%.

3. To find the average collection period, we need to determine the average number of days it takes for customers to pay their invoices. The terms are 1/7 net 30, indicating a 1% cash discount if paid within 7 days, with the full amount due within 30 days. Assuming the 40% discount is taken, the average collection period can be calculated as follows:

Average Collection Period = (Credit Period x (1 - Discount %)) + (Discount Period x Discount %)

                        = (30 x (1 - 0.01)) + (7 x 0.01)

                        = 29.7 + 0.07

                        = 29.77 days

Therefore, the average collection period is approximately 29.77 days.

The Accounts Receivable Turnover can be calculated by dividing the annual sales by the average accounts receivable. Given that 3,500 units are sold annually at $275 per unit, and 40% of customers take the discount, the calculation is as follows:

Accounts Receivable Turnover = Annual Sales / (Accounts Receivable / (1 - Discount %))  = (3,500 x $275) / (Accounts Receivable / 0.6)   = $962,500 / (Accounts Receivable / 0.6)

To find the amount of accounts receivable, we rearrange the formula:

Accounts Receivable = $962,500 / (Accounts Receivable Turnover / 0.6)

Please provide the Accounts Receivable Turnover value to calculate the specific amount of accounts receivable.

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To find the unit price of each brand, divide the price by the number of forks in the box.

Brand A:

Brand B:

The unit price for Brand A is 0.08

The unit price for Brand B is 0.06

The better buy is Brand B

Answer:

$40

Step-by-step explanation:

Brian starts at $100, then loses 1/4th of the money,

100/4 = 25,

then you subtract 25 from 100, which gives you 75

With the remaining $75, he spends $15 on girl scout cookies,

75 - 15 = 60

He then has $60 remaining, but while walking home, loses 1/3 of the total amount.

60/3 = 20,

you then subtract 20 from 60, which gives you 40

Therefore, $40 is what is remaining.

Step-by-step explanation:

x + y = 17

x = 17 - y

xy = 20

(17 - y)y = 20

-y² + 17y = 20

-y² + 17y - 20 = 0

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

y = (-17 ± sqrt(17² - 4×-1×-20))/(2×-1) =

= (-17 ± sqrt(289 - 80))/-2 =

= (-17 ± sqrt(209))/-2

y1 = (-17 + sqrt(209))/-2 = 1.271583853...

y2 = (-17 - sqrt(209))/-2 = 15.72841615...

the 2 numbers are

1.271583853...

15.72841615...

Answer: The product of the two numbers is 2400.

Step-by-step explanation: You multiply the numbers on the ratio with the difference first you multiply 2 with 20 then you multiply 3 with 20.

Answer:

I guess y=2x+5

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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Answer:

28 pizzas

Step-by-step explanation:

one pizza is enough food for four campers

there are 112 campers so divide 112 by 4

to check this 28 multiplied by 4 is what

112 so the answer is correct

The number of pizzas that  Ryan need to order should be considered as the 112 pizzas.

Since

Ryan is in charge of ordering pizza for 112 campers. Each camper will get 2 slices. One pizza contains 8 slices.

So here

\(= 112 \div 2 \times 4\)

= 112

hence, The number of pizzas that  Ryan need to order should be considered as the 112 pizzas.

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Answer:

1, -3, -7, -11

Step-by-step explanation:

See attached image.

Answer:

Let's simplify step-by-step.

3x2+9x+6−(8x2+3x−10)+(2x+4)(3x−7)

Distribute:

=3x2+9x+6+−8x2+−3x+10+(2x)(3x)+(2x)(−7)+(4)(3x)+(4)(−7)

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

Combine Like Terms:

=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28

=(3x2+−8x2+6x2)+(9x+−3x+−14x+12x)+(6+10+−28)

=x2+4x+−12

Answer:

=x2+4x−12

Answer:

HJ/LN = HI/LM

Step-by-step explanation:

H corresponds to L

I corresponds to M

J corresponds to N

Answer:

Step-by-step explanation:

1) Use the sum-product pattern:

\(y^{2} +2y-48\\y^{2} -8y-6y-48\)

2) Common factor from the two pairs:

\(y^{2} +8y-6y-48\\y(y+8)-6(y+8)\)

3) Rewrite in factored form:

\(y(y+8)-6(y+8)\\(y-6)(y+8)\)