Please help I’m stuck on this question

Answer:

-8y +8v +24

Step-by-step explanation:

-8(y-v-3)

Multiply each term inside the parentheses by -8

-8y -v*-8 -3*-8

-8y +8v +24

___________________________________

Hey!!!

solution,

-8(y-v-3)

= -8y+8v+24

_________________________________

Here,

You have to remember these things:

Hope it helps.

Good luck on your assignment

(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

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The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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Answer:

12 cup of milk.

Step-by-step explanation:

if 3 cups of milk can make 30 cookies it means 1 cup of milk can make 10 cookies then for 100 cookies we need 10 cup of milk and 30 more means 3 more so answer is 12

Answer:

15a^5 b^10

Step-by-step explanation:

The product is 15a⁵b¹⁰.

Exponentiation is one of the mathematics operations.

Let mᵃ, where m and a are the real numbers.

And m is multiplied by a times to itself.

So, a is the exponent of m.

When multiplying two terms with the same base, you add the exponents. Therefore:

(3a²b⁷)(5a³b³) = 3 x 5 x a⁵ x b ¹⁰

= 15a⁵b¹⁰.

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Answer:

See attached

Step-by-step explanation:

\(M(t)= 0.5t^4 + 3.45t^3 -96.65t^2 +347.7t\)

for t = 0, 1, 2, 3, 4, 5 and 6

\(M(0)= 0.5(0^4) + 3.45(0^3) -96.65(0^2) +347.7(0) = 0\\\\M(1)= 0.5(1^4) + 3.45(1^3) -96.65(1^2) +347.7(1) =255\\\\M(2) = 0.5(2^4) + 3.45(2^3) -96.65(2^2) +347.7(2)=344.4\\\\M(3)= 0.5(3^4) + 3.45(3^3) -96.65(3^2) +347.7(3) =306.9\\\\M(4)= 0.5(4^4) + 3.45(4^3) -96.65(4^2) +347.7(4)=193.2\\\\M(5)= 0.5(5^4) + 3.45(5^3) -96.65(5^2) +347.7(5)=66\\\\M(6)= 0.5(6^4) + 3.45(6^3) -96.65(6^2) +347.7(6)=0\\\)

Plotting M(t) against t we will get the graph

Answer:

\(\begin{array}{c|c}t&M(t)\\\cline{1-2} 0&0\\1&255\\2&344.4\\3&306.9\\4&193.2\\5&66\\6&0\end{array}\)

See attached for the graph of the function.

Step-by-step explanation:

Given polynomial function:

\(M(t)= 0.5t^4 + 3.45t^3 -96.65t^2 +347.7t\)

The given polynomial function can be used to estimate the number of milligrams of the pain relief medication ibuprofen in the bloodstream t hours after 400 mg of the medication has been taken.

To find the number of milligrams of ibuprofen in the bloodstream at different time points, substitute the given values of t into the given function M(t).

\(\begin{aligned}t=0 \implies M(0)&= 0.5(0)^4 + 3.45(0)^3 -96.65(0)^2 +347.7(0)\\&=0+0+0+0\\&=0\; \sf mg\end{aligned}\)

\(\begin{aligned}t=1 \implies M(1)&= 0.5(1)^4 + 3.45(1)^3 -96.65(1)^2 +347.7(1)\\&=0.5(1)+ 3.45(1) -96.65(1) +347.7(1)\\&=0.5 + 3.45 -96.65 +347.7\\&=255\; \sf mg\end{aligned}\)

\(\begin{aligned}t=2 \implies M(2)&= 0.5(2)^4 + 3.45(2)^3 -96.65(2)^2 +347.7(2)\\&= 0.5(16) + 3.45(8) -96.65(4) +347.7(2)\\&=8+27.6-386.6+695.4\\&=344.4\; \sf mg\end{aligned}\)

\(\begin{aligned}t=3 \implies M(3)&= 0.5(3)^4 + 3.45(3)^3 -96.65(3)^2 +347.7(3)\\&= 0.5(81) + 3.45(27) -96.65(9) +347.7(3)\\&=40.5+93.15-869.85+1043.1\\&=306.9 \; \sf mg\end{aligned}\)

\(\begin{aligned}t=4 \implies M(4)&= 0.5(4)^4 + 3.45(4)^3 -96.65(4)^2 +347.7(4)\\&= 0.5(256) + 3.45(64) -96.65(16) +347.7(4)\\&=128+220.8-1546.4+1390.8\\&=193.2\; \sf mg\end{aligned}\)

\(\begin{aligned}t=5 \implies M(5)&= 0.5(5)^4 + 3.45(5)^3 -96.65(5)^2 +347.7(5)\\&= 0.5(625) + 3.45(125) -96.65(25) +347.7(5)\\&=312.5+431.25-2416.25+1738.5\\&=66\; \sf mg\end{aligned}\)

\(\begin{aligned}t=6 \implies M(6)&= 0.5(6)^4 + 3.45(6)^3 -96.65(6)^2 +347.7(6)\\&= 0.5(1296) + 3.45(216) -96.65(36) +347.7(6)\\&=648+745.2-3479.4+2086.2\\&=0\; \sf mg\end{aligned}\)

To sketch a graph of the function, plot these values on a graph with time on the x-axis and ibuprofen concentration on the y-axis, and draw a smooth curve through the plotted points. An appropriate scale to use is x-axis : y-axis = 1 : 50.

Answer:

2 Minutes

Step-by-step explanation:

the first ratio is 5:10 since it is easier to work with big numbers let's start by  multiplying it by 2 to get something

Now we have 10:20 we can divide this by 10 and get the ratio 1:2

1:2 equals 1 mile:2 minutes which is 1 mile in 2 minutes!

Have a nice day and I hope this helps!

Answer:

the answer is 18 months==1 year 6 months

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer:

I believe it is e.

Step-by-step explanation:

2/5 equals 0.4, which is the same as 0.40

Step-by-step explanation:

The range of the starting salaries is 53,000

Given,

The box and whisker plot below shows the starting salaries

The number of graduates in a small college = 120

We have to find the range of the starting salaries;

Range of a data;

The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

Here,

Lowest value = 19,000

Highest value = 72,000

Then,

Range of the set = 72,000 - 19,000 = 53,000

That is,

The range of the given data set is 53,000

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Answer:

-8.5

Step-by-step explanation:

could also be 8 1/2

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow =  48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

Creating a system of equation using the scenario described, the number of cows and ducks owned are 6 and 16 respectively.

The equation goes thus :

c + d = 22 - - - (1)

4c + 2d = 56 - - - (2)

From (1)

c = 22 - d - - - - (3)

Substitute (3) into (2)

4(22 - d) + 2d = 56

88 - 4d + 2d = 56

88 - 2d = 56

-2d = 56 - 88

-2d = - 32

d = 16

From (3)

c = 22 - 16

c = 6

Hence, the number of cows and ducks owned are 6 and 16 respectively.

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Answer:

3

Step-by-step explanation:

this is what I think

The formula for the area of a circle (A) is A =Πr2.

r = 6 ft   Π = 3.14,

A = 3.14 x 62

A = 113.04 (which is an estimated answer because Π is estimated in this case).

Therefore, the answer would be D.  If you can use a calculator, then your answer will be more exact.  Just realize that the estimate will put you close enough to your answer in a multiple choice setting if a calculator is not available.

A = 3.14 x 36

Step-by-step explanation:

The area of an equilateral triangle is given by

where a is the side length of the triangle.

Now, for our case a = 12; therefore, the above formula gives

In decimal form this is

The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.

(a) f - {1 2 3 4 5} -> {1 2 1 2 1}

This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.

(b) f - {1 2 3 4 5} -> {1 2 3 1 2}

This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.

(c) f(x) = { x if x < 3, x - 3 if x > 3}

This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.

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Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.

(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.

Hence,

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

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The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle

The given equation is

4x² + 9xy + 4y² - 36y - 125 =0

The above equation is an illustration of a circle equation

The standard form of a circle equation is

(x - a)² + (y - b)² = r²

Where

(a, b) is the center

r is the radius

While the general form of the equation is

ax² + fx + by² + gy + c =0

Where c is a constant

Recall that, we have

4x² + 9x + 4y² - 36y - 125 =0

This is the general form

We can convert to the standard form as follows

Divide through by 4

x² + 2.25x + y² - 9y - 31.25 =0

Next, we complete the square of the x-terms and the y-terms

For the x-terms, we have

x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²

x² + 2.25x = (x + 2.25/2)² - (2.25/2)²

For the y-terms, we have

y² - 9y = y² - 9y + (9/2)² - (9/2)²

y² - 9y = (y - 9/2)² - (9/2)²

Substitute the new x and y terms

So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes

(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0

Evaluate the sum of like terms

(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0

So, we have

(x + 9/8)² + (y - 9/2)² = 3377/64

Using the above as a guide, we can conclude that the conic section of the equation is a circle

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Answer:

x=4 and y=−2

Step-by-step explanation:

1. 3(−7x−8y=−12)

−4(4x−6y=28)

2. −21x−24y=−36

−16x+24y=−112

3. divide

4. Substitute 4 for x in−7x−8y=−12:

(−7)(4)−8y=−12

5. −8y−28+28=−12+28

divide 8 to 16

y=-2

Answer:

Step-by-step explanation:

Given system:

Simplify the second equation:

Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:

Find x using the second equation:

Solution is (4, -2)

Answer:

Because if you take 3 +3 you get 6, and that plus 3 more is 9. So your adding 3 together 3 times giving you 9.

Step-by-step explanation:

3+3+3=9

3x3=9

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

9514 1404 393

Answer:

  70° (number in the blank at the bottom)

Step-by-step explanation:

You need to know the meaning of "complement of an angle."

Complementary angles have a sum of 90°. So, the complement of 20° is the angle that makes the total 90°. It is 70°.

The line at the bottom of the figure tells you how to work the problem. It says "the cosine of an angle is the sine of its complement." If you put numbers in this statement, it tells you ...

  the cosine of 20° is the sine of 70°

So, the answer to the question at the top of the page is ...

  look up the value of sin(70°) in the table

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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