does anyone know the answer

Hello!

\(\large\boxed{B. \text{ } One}\)

2x - y = 6

3x + 5y = -17

Solve systems of equations by elimination.

The easiest variable to eliminate would be y since we can simply multiply the first equation by 5:

5(2x - y = 6)

3x + 5y = -17

10x - 5y = 30

3x + 5y = -17

Eliminate y by adding both equations to each other:

10x - 5y = 30

3x + 5y = -17

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

13x + 0y = 13

13x = 13

13x/13 = 13/13

x = 1

Therefore, there is only ONE solution to this system of equations because we only could derive one solution.

Answer:

maybe (-3,-4)?

Step-by-step explanation:

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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A differential equation is an equation involving a differentiable function, which is a critical tool in modeling physical phenomena like population growth, radioactive decay, and fluid flow.

A differential equation is an equation that involves a differentiable function. It is an equation in which the variables' derivatives appear. Differential equations are used to model physical phenomena like population growth, radioactive decay, and fluid flow. The order of a differential equation is the highest order of the derivative of the function. A first-order differential equation has the highest order of 1, and a second-order differential equation has the highest order of 2.A differential equation can be classified into three types: Ordinary Differential Equations (ODEs), Partial Differential Equations (PDEs), and Differential Algebraic Equations (DAEs). Ordinary differential equations have a single independent variable and one or more dependent variables that depend on it. Partial differential equations have more than one independent variable and multiple dependent variables that depend on each other. Differential algebraic equations have both derivatives and algebraic equations in them.A differential equation is essential in physics, engineering, and mathematics. It is used to model many natural phenomena and helps in predicting the future. Most differential equations can not be solved analytically, so numerical methods are used to find approximate solutions. In conclusion, A differential equation is an equation involving a differentiable function, which is a critical tool in modeling physical phenomena like population growth, radioactive decay, and fluid flow.

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Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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The degree of the given differential equation is equal to the highest degree of its derivatives, which is 4. The correct option is 4.

The degree of the given differential equation is 4. We know that the degree of a differential equation is the highest order derivative in the equation. Let us determine the degrees of the derivatives given in the given differential equation.

The first derivative is given by

\($$\frac{d^{3} x}{d t^{3}}$$\)

The degree of the first derivative is 3.The second derivative is given by:

\($$\frac{d^{2} y}{d t^{2}}$$\)

The degree of the second derivative is 2.

The third derivative is given by:

\($$\frac{d^{4} z}{d t^{4}}$$\)

The degree of the third derivative is 4.

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Answer:

For one year the fee would be,

C = $120 + $5l

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Substitute 5 for x in the function f(x) = 2x + 7.

Option C is correct.

Answer

20 students will take biology, 10 take Integrated Science and 10 take both

Step-by-step explanation:

With Venn diagrams it's best you work from the inside out. With that in mind we know 10 students take both Biology and Integrated Science. In Biology there are 30 total students including the ones that also take both sciences. So we subtract the ones that take both and get 20 students taking only biology. After that there's 30 students total, subtract that from 40, the total number of students and you get 10, the amount of students who take Integrated Science

Answer:

Step-by-step explanation:

3, 45

1, 15 up

15, over 1

The value of the constant of proportionality k is 15, and an equation that describes the proportional relationship is y=15x.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Given that area covered is proportional to the paint used in gallons. Therefore, we can write,

Area covered ∝ Paint

Now, to remove the symbol of proportionality, we need to add a constant k,

Area covered = k × Paint

Substitute the value of the point (3,45) in the given equation, therefore, we can write,

45 = k × 3

45/3 = k

k = 15

Hence, the value of the constant of proportionality k is 15, and an equation that describes the proportional relationship is y=15x.

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Answer:

1^13 and 1^15

Step-by-step explanation:

1 raised to anything is still just 1

so, 1^13 = 1 and 1^15 =1

Answer:

57 degrees

Step-by-step explanation:

you the side opposite of angle m and the hypotnuse. So use cosine. cos-1(4.7/8.6) = 56.87197... So round to nearest degree is 57

Answer:

38

Step-by-step explanation:

This is a right handed limit because there is a "+" next to the -19. This means that we have to find the limit as the function goes to -19 from the right side. This means that the limit is when it goes from -19.1 --> -19.

From the table we see that this area is aproaching 38 as it gets closer to -19.

The f(x) number will get increasingly closer to 38 but never reach 38, and that is why it is the limit.  

Hope this helps!!!

The solution for x is x = (y - 5) / 3.

To solve the equation y = 5 + 3x for x, we need to isolate the variable x on one side of the equation. Here's the step-by-step solution:

Start with the equation: y = 5 + 3x.

Subtract 5 from both sides to isolate the term with x:

y - 5 = 5 + 3x - 5.

Simplifying:

y - 5 = 3x.

Divide both sides by 3 to solve for x:

(y - 5) / 3 = 3x / 3.

Simplifying:

(y - 5) / 3 = x.

So, the solution for x is x = (y - 5) / 3.

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The value of T'(7) obtained after taking the first differential of the function is 36.

Given the T(p) = 36(p + 1) - 1/3

Diffentiate with respect to p

T'(p) = d/dp [36(p + 1) - 1/3]

= 36 × d/dp (p + 1) - d/dp (1/3)

= 36 × 1 - 0

= 36

This means that after 7 practice sessions, the rate of change of the time it takes to perform the task with respect to the number of practice sessions is 36 minutes per practice session.

Therefore, T'(p) = 36.

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An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.

The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.

To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.

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Answer:

x=15 y=24

Step-by-step explanation:

This is because the rule is x goes up 3 y goes up 4

(9,12)->(x,20)

it skips one, so instead of adding 3 we add six

x=15

(15,20)->(18,y)

you follow the rule and 4.

Y=24

It’s either b or c

It either of those.

Answer:

3

Step-by-step explanation:

The sides are congruent so you can write the equation (4x+9)=21.

Now you subtract 9 from 21 and you get 4x=12.

All you gotta do now is divide and you get x=3.

Hope this helps!:)

This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.

- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.

- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.

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The perimeter of half of the basketball court is 194 feet.

The basket ball court is divided into two equal halves. The perimeter of the halve of the basket ball court can be calculated as follows:

Therefore, the perimeter is the sum of the whole sides of half of the basket ball court.

Hence,

perimeter of half of the basket ball court = 94 / 2 + 94 / 2 + 50 + 50

perimeter of half of the basket ball court = 47 + 47 + 100

perimeter of half of the basket ball court = 94 + 100

perimeter of half of the basket ball court = 194 feet

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y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

The monument is made up of 150,124 blocks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Monument:

50,123 sandstone blocks

100,001 limestone blocks.

Now,

The total number of blocks.

= 50,123 + 100,001

= 150124

Thus,

150,124 blocks.

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To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

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1. The payment amount and the interest on the loan, we need to use the formula for calculating compound interest. The formula is: A = P(1 + r)^n

Where:
A is the total amount after n years,
P is the principal amount (loan amount),
r is the interest rate per period (in this case, 10% per year),
n is the number of periods (in this case, 2 years).

(a) To find the amount of the payment, we need to calculate the total amount (A) and subtract the principal amount (P):

A = P(1 + r)^n
A = $1,600,000(1 + 0.10)^2
A = $1,600,000(1.10)^2
A = $1,600,000(1.21)
A = $1,936,000

Payment amount = A - P = $1,936,000 - $1,600,000 = $336,000

(b) To find the amount of interest, we subtract the principal amount from the total amount:

Interest = A - P = $1,936,000 - $1,600,000 = $336,000

Therefore, the amount of the payment is $336,000 and the amount of interest is also $336,000.

2. To find the interest rate, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($2.42 million),
P is the present amount ($2 million),
r is the interest rate per period (unknown),
n is the number of periods (1 year).

We can rearrange the formula to solve for r:

r = (A/P)^(1/n) - 1
r = ($2.42 million / $2 million)^(1/1) - 1
r = 1.21 - 1
r = 0.21

Therefore, the interest rate is 21%.

3. To find the original loan amount, we can use the formula for calculating the future amount with compound interest:

A = P(1 + r)^n

Where:
A is the total cost of repaying the loan ($82 million),
P is the original loan amount (unknown),
r is the interest rate per period (8% per year),
n is the number of periods (1 year).

We can rearrange the formula to solve for P:

P = A / (1 + r)^n
P = $82 million / (1 + 0.08)^1
P = $82 million / 1.08
P ≈ $75.93 million

Therefore, the amount of the original loan was approximately $75.93 million.

4. To find the number of years required for the investment to reach at least $425,000, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($425,000),
P is the initial investment ($280,000),
r is the interest rate per period (15% per year),
n is the number of periods (unknown).

We can rearrange the formula to solve for n:

n = log(A/P) / log(1 + r)
n = log($425,000/$280,000) / log(1 + 0.15)
n ≈ 4.61 years

Therefore, it would take approximately 4.61 years for the investment to cumulate to at least $425,000 at a 15% per year interest rate.

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Answer:

Mean: 12.6

Mode: 12, 9, 17, 15, 10

Median: 12

Answer:

mean: 12.6

median: 12

mode: n/a

ANSWERS:

A. 0.28 ( 28.41% )
B. 89.29%

EXPLANATIONS:

(a) The probability of a randomly chosen U.S. adult investing in both stocks and fixed income instruments is given as 0.25. The probability of a U.S. adult investing in fixed income instruments is 0.88. Using the formula for conditional probability, we have:

P(invests in stocks | invests in fixed income instruments) = P(invests in both stocks and fixed income instruments) / P(invests in fixed income instruments)

= 0.25 / 0.88

= 0.2841 (rounded to the nearest hundredth)

Therefore, the probability that a randomly chosen U.S. adult invests in stocks, given that he or she invests in fixed income instruments is 0.28 (rounded to the nearest hundredth).

To convert A to a percentage, simply multiply it by 100:

A = 0.2841

A as a percentage = 0.2841 x 100% = 28.41% (rounded to two decimal places)

(b) The probability of a randomly chosen U.S. adult investing in both stocks and fixed income instruments is 0.25, and the probability of a U.S. adult investing in stocks is 0.28. Using the formula for joint probability, we have:

P(invests in both stocks and fixed income instruments) = P(invests in stocks) × P(invests in fixed income instruments)

= 0.28 × 0.88

= 0.2464

The probability that a randomly chosen stock investor also invests in fixed income instruments is 0.25 / 0.28 = 0.8929 (rounded to the nearest hundredth), which is equivalent to 89.29%.

A) The length of GR is approximately 21.3 feet.

B) The length of GD is approximately 15.4 feet.

A) To find the length of GR, we can use the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. Since GA is the radius of the circle and GA = 12 feet, the circumference is C = 24π feet. Since the major arc mGR is 200°, it corresponds to 200/360 or 5/9 of the circumference.

Therefore, the length of the major arc GR is (5/9) × 24π = 40π/3 feet. Using the formula for arc length, we have: arc length = (angle/360) × 2πr, where angle is in degrees.

Rearranging this formula, we get: r = arc length / ((angle/360) × 2π). Substituting the values for arc length and angle, we get: r = (40π/3) / ((200/360) × 2π) = 4.5 feet. Finally, using the Pythagorean theorem, we have: GR² = GA² + AR² = (12)² + (4.5)², which gives us GR ≈ 21.3 feet.

B) To find the length of GD, we can use a similar approach as in part A. Since GA is the radius of the circle and GA = 29 feet, the circumference is C = 58π feet. Since the major arc mDG is 185°, it corresponds to 185/360 or 37/72 of the circumference.

Therefore, the length of the major arc DG is (37/72) × 58π = 29.9π/3 feet. Using the formula for arc length, we have: arc length = (angle/360) × 2πr, where angle is in degrees. Rearranging this formula, we get: r = arc length / ((angle/360) × 2π).

Substituting the values for arc length and angle, we get: r = (29.9π/3) / ((185/360) × 2π) = 14.5 feet. Finally, using the Pythagorean theorem, we have: GD² = GA² + AD² = (29)² - (14.5)², which gives us GD ≈ 15.4 feet.

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If the dot indicates the center of the circle, the equation that must be true is

The diameter of the semicircle is shown by line segment bearing the dot at the center.

By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.

This mean that angle B = angle A = 90 degrees

hence there addition is 180 degrees

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