Would the midpoint (2,2) be correct?

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Answer: 15

Step-by-step explanation: Pythagorean theorem

8^2+b^2=17^2

64+b^2=289

b^2=225

b=15

Brainliest please

Answer:

15  inches.

Step-by-step explanation:

\(AB=\sqrt{AC^{2}-BC^{2} } =\sqrt{17^{2}-8^{2} } =\sqrt{289-64} =\sqrt{225}= 15 \: ( inches)\)

Answer:

5:3

Step-by-step explanation:

30:18 = 10:6=5:3

mark brainliest if right :)

Simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

As given in the question,

Simple Interest:

The simple interest is an amount that is paid for loan or borrowed money over a certain period at a fixed percentage of borrowed money.

Principal amount:

Principal amount is the money that is taken as loan or borrowed.

Formula of Simple Interest:

Simple interest = Principal amount × Rate × Time

Since,

Principal amount = $10,000

Rate = 4% per year

Time = 5 years

Then,

Simple interest = 10,000 × 4 × 5

Simple interest = $ 12000

Total value after 5 years = $ 12000

Principal amount = $ 10000

Interest Earned = (Total value) - (Principal amount)

Interest Earned = $ 12000 - $ 10000

Interest Earned = $ 2000

Therefore, simple interest earned on the principal amount $10,000 for 5 years at 4% interest per year will be $12,000.

The complete question is:

Fabian is taking out a loan in the amount of $10,000. His choices for the loan are a 5-year loan at 4% rate of interest .What is the amount of simple interest and interest earned Fabian would have to pay?

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The question is incomplete:

The telephone company offers two billing plans for local calls. Plan 1 charges ​$38 per month for unlimited calls and Plan 2 charges ​$18 per month plus ​$0.04 per call.

Use an inequality to find the number of monthly calls for which plan 1 is more economical than plan 2.

Answer:

Plan 1 is more economical than plan 2 when you make more than 500 monthly calls.

Step-by-step explanation:

Plan 1 costs $38 per month for unlimited calls and plan 2 costs $18 per month plus ​$0.04 per call which is: 18+0.04x and you can infer that plan 1 would be cheaper when you have to pay more than $38 using plan 2 and you can express it with the inequality:

18+0.04x>38, where x is the amount of monthly calls

Now, you can solve for x:

0.04x>20

x>20/0.04

x>500

According to this, plan 1 is more economical than plan 2 when you make more than 500 monthly calls.

The researchers employed a scientific method known as Ethnography.

Ethnography to study the recorded data. Ethnography is a method of research that involves the systematic study of people and cultures, often through the use of participant observation and the collection of detailed field notes. In this case, the researchers used the recordings to gain an understanding of the student's daily activities and how they were affected by their environment.

The researcher also often conducts in-depth interviews, focus groups, or surveys with group members to comprehensively understand their perspectives and experiences.

Ethnography can be applied in various fields, including anthropology, sociology, education, and business. It is commonly used to study communities, organizations, and other social groups.

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The two expressions are not equal, so the function f(x) = 2x² is also not linear.

To determine if a function is linear, we need to verify if it satisfies the linearity property, which states that for any x and y in the domain of the function and any scalars α and β, the function should satisfy f(αx + βy) = αf(x) + βf(y).

Let's examine each function and determine if it is linear:

f(x) = 3x - 2

To check linearity, we need to verify if f(αx + βy) = αf(x) + βf(y). Let's substitute the values:

f(αx + βy) = 3(αx + βy) - 2

= 3αx + 3βy - 2

On the other hand:

αf(x) + βf(y) = α(3x - 2) + β(3y - 2)

= 3αx - 2α + 3βy - 2β

Comparing the two expressions, we can see that they are not equal, so the function f(x) = 3x - 2 is not linear.

f(x) = 2x²

Using the same logic, let's check linearity:

f(αx + βy) = 2(αx + βy)²

= 2(α²x² + 2αβxy + β²y²)

= 2α²x² + 4αβxy + 2β²y²

On the other hand:

αf(x) + βf(y) = α(2x²) + β(2y²)

= 2αx² + 2βy²

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

In conclusion, neither of the given functions is linear since they do not satisfy the linearity property.

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Answer:

the answer is y=4x-14

Step-by-step explanation:

I know that writing slope intercept form is extremely easy as you follow the y=mx+b formula. All that was really required was to simplify the equation and isolate the X and Y on separate sides of the equal. I hope this helps

To estimate the area under the graph of f(x) = 3√x from x = 0 to x = 4 using four approximating rectangles, we can divide the interval [0, 4] into four subintervals of equal width and calculate the area of each rectangle using either the right endpoints or the left endpoints.

(a) Using right endpoints:

The width of each rectangle is Δx = (4 - 0) / 4 = 1.

The right endpoints for the four subintervals are x = 1, 2, 3, and 4.

We can calculate the height of each rectangle by evaluating f(x) = 3√x at the right endpoints:

f(1) = 3√1 = 3

f(2) = 3√2

f(3) = 3√3

f(4) = 3√4 = 6

The area of each rectangle is then the product of the width and the height.

R1 = 1 * 3 = 3

R2 = 1 * f(2)

R3 = 1 * f(3)

R4 = 1 * 6

To estimate the total area, we sum up the areas of the four rectangles:

R4 = R1 + R2 + R3 + R4

(b) Using left endpoints:

Similar to part (a), the width of each rectangle is Δx = (4 - 0) / 4 = 1.

The left endpoints for the four subintervals are x = 0, 1, 2, and 3.

We can calculate the height of each rectangle by evaluating f(x) = 3√x at the left endpoints:

f(0) = 3√0 = 0

f(1) = 3√1 = 3

f(2) = 3√2

f(3) = 3√3

The area of each rectangle is the product of the width and the height.

L1 = 1 * 0 = 0

L2 = 1 * f(1)

L3 = 1 * f(2)

L4 = 1 * f(3)

To estimate the total area, we sum up the areas of the four rectangles:

L4 = L1 + L2 + L3 + L4

Now, to determine whether the estimates are underestimates or overestimates, we compare them to the actual area under the curve.

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By consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15.

Over a period of 5 years, assuming an annual deposit of $10,000 at an interest rate of 8%, you would accumulate a significant amount through compound interest.

To calculate the total amount after 5 years, we can use the formula for the future value of an ordinary annuity:

\( FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right) \)

Where:

FV = Future value

P = Annual deposit

r = Interest rate per period

n = Number of periods

In this case, the annual deposit is $10,000, the interest rate is 8% (or 0.08 as a decimal), and the number of periods is 5 years. Plugging these values into the formula:

\( FV = 10000 \times \left( \frac{{(1 + 0.08)^5 - 1}}{0.08} \right) \)

After evaluating the expression, the future value (FV) after 5 years would be approximately $48,786.15.

Therefore, by consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15. This demonstrates the power of compounding interest over time, where regular contributions can lead to significant growth in savings.

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The given statement "A and B are n x n matrices. The determinant of A is the product of the diagonal entries in A" is False because the product of the diagonal entries in A for n x n matrix will not be equal to determinant of A.

The determinant of a matrix is a scalar value that can be calculated using a specific formula. The formula for finding the determinant of an n x n matrix involves finding the sum of products of the elements in certain combinations of rows and columns.

The product of the diagonal entries is only one element in the calculation of the determinant of a matrix, and it is not equal to the determinant unless the matrix has all zeros except on the diagonal.

For example, consider the following 2x2 matrices:

A = [2 3; 4 5]

B = [1 0; 0 1]

The determinant of A is (25) - (34) = -2

The product of the diagonal entries in A is 2*5 = 10, which is not equal to the determinant.

The determinant of B is (11) - (00) = 1

The product of the diagonal entries in B is 1*1 = 1, which is equal to the determinant.

Therefore, the statement "The determinant of A is the product of the diagonal entries in A" is false in general, and the determinant of a matrix is typically calculated using a more involved formula that takes into account all the elements in the matrix.

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Answer:

15.625 cubed for s cubed; 62.5 feet for parking space I think don't hate me if I'm wrong.

Step-by-step explanation:

for s cubed;

(2.5×2.5)×2.5=15.625

for parking space:

(15.625×2)+(15.625*2)=62.5

Answer:

I think its $26.80

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

when you divide by a bigger number the smaller the quotient will be

Hopes this helps please mark brainliest

Answer:

the hypotenuse is 68 yards

Step-by-step explanation:

A^2+B^2 then square rooted equals C

32^2+60^2

1,024+3,600=4,624

4,624 square rooted is 68

68 yd is your answer

The required three additional points that the line have slope (-7, -7) and m=2 passes through are (0,7), (2,11) and (1,9).

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.

we are given with the point (-7,-7) and m = 2(which is not given in this question so this question is incomplete)

now

first construct a linear equation using point(-7,-7) and m=2

(y−y1)=m(x−x1)

and we have

x1=-7, y1=-7

(y+7)=2(x+7)

(y+7)=2x+14

y=2x+7

Now, we can substitute values for x and y to find 3 additional points that lie on this line.

and after drawing graph we'll get the points:

(0,7), (2,11) and (1,9)

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The probability that at least one of the bulbs lasts 900 hours or more is approximately 0.992 or 99.2%.

To solve this problem, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

So, let's first find the probability that all three bulbs fail before 900 hours of use. Since each bulb's failure is independent of the others, we can multiply their individual probabilities of failure together:

0.2 × 0.2 × 0.2 = 0.008

This means that the probability of all three bulbs failing is 0.008.

Now, we can use the complement rule to find the probability that at least one bulb lasts 900 hours or more:

1 - 0.008 = 0.992

Therefore, the probability that at least one of the bulbs lasts 900 hours or more is approximately 0.992 or 99.2%.

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(i) The four roots of \(`f(x) = (x^2 + 4)(x^2 + 8x + 25) = 0\)` are 2i, -2i, -4 + 3i, and -4 - 3i. (ii) The sum of these four roots is -8.

Given that \(`f(x)=(x^2+4)(x^2+8x+25)`\) we need to find the four roots of f(x)=0 and sum of these four roots.

i) To find the four roots of `f(x)=0`, first we need to find the roots of the quadratic factors:

\(`x^2 + 4` and `x^2 + 8x + 25`.x^2 + 4 = 0x^2 = -4x = ± sqrt(-4) = ± 2i\)

So the roots of \(x^2 + 4\) are \(x = 2i\) and \(x = -2i.x^2 + 8x + 25 = 0x = (-b ± sqrt(b^2 - 4ac)) / 2a\)

where a = 1, b = 8, and c = 25x = (-8 ± sqrt(8^2 - 4(1)(25))) / 2x = (-8 ± sqrt(64 - 100)) / 2x = (-8 ± sqrt(-36)) / 2x = (-8 ± 6i) / 2x = -4 ± 3i

So the roots of \(x^2\) + 8x + 25 are x = -4 + 3i and x = -4 - 3i.

So, the four roots of \(`f(x) = (x^2 + 4)(x^2 + 8x + 25) = 0\)` are 2i, -2i, -4 + 3i, and -4 - 3i.

ii) The sum of these four roots is: 2i + (-2i) + (-4 + 3i) + (-4 - 3i) = -8.

Therefore, the sum of these four roots is -8.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Based on both the mean and median values, we can conclude that Wide Awake typically sells more coffee per hour than Coffee Ground.

What are the mean and median?

The mean and median are two measures of central tendency that can be used to describe a set of data. The median is the middle value in the data set when the values are arranged in order from lowest to highest. If there are an even number of values, the median is the average of the two middle values.

To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center (mean and median) of the data for each shop.

Calculating the mean of each dataset, we get:

Mean of Coffee Ground = (1.5+20+3.5+12+2+5+11+7+2.5+9.5+3+5) / 12 = 6.5/2 = 5.42 gallons

Mean of Wide Awake = (2.5+10+4+18+4+3+6+5+2.5) / 9 = 56 / 9 = 6.22 gallons

Calculating the median of each dataset, we get:

Median of Coffee Ground = 4.25 gallons

Median of Wide Awake = 4.5 gallons

Comparing the measures of the center, we see that the mean value of coffee sold per hour at Coffee Ground is approximately 5.42 gallons, while the mean value of coffee sold per hour at Wide Awake is approximately 6.22 gallons.

Therefore, on average, Wide Awake sells more coffee per hour than Coffee Ground.

However, we also see that the median value of coffee sold per hour at Wide Awake is 4.5 gallons, while the median value of coffee sold per hour at Coffee Ground is 4.25 gallons.

This suggests that the middle value of coffee sold per hour is higher for Wide Awake than for Coffee Ground.

Therefore, based on both the mean and median values, we can conclude that Wide Awake typically sells more coffee per hour than Coffee Ground.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

C. e = 8.1

Step-by-step explanation:

e-3.1= 5

e = 5+3.1

e = 8.1

Answer:

8 pizzas

Step-by-step explanation:

If 1/5 was remaining, the hoard consumed 4/5 of all the pizza.

(4/5)*(10 pizzas) = 8 pizzas

Answer:

2 pizzas

Step-by-step explanation:

\(\frac{10}{1}\)*\(\frac{1}{5}\)=\(\frac{10}{5}\)

then divided 5 by 10 and it equals 2 pizzas.