The point (- 3, 2) is a solution to which of the following pairs of equations?
0 2x + 4y = 2 and - 2x + 2y = - 10
2x + 4y = – 2 and - 2x + 2y = 10
2x + 4y = – 2 and – 2x + 2y = - 10
0 2x + 4y = 2 and - 2x + 2y = 10

Answer:

Cash it at the issuing bank (this is the bank name that is pre-printed on the check)

Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)

Cash the check at a check-cashing store.

Deposit at an ATM onto a pre-paid card account or checkless debit card account.

Step-by-step explanation:

Answer:

Amscot?

Step-by-step explanation:

Answer:

Geometric shapes are practically everywhere. No matter where you look, almost everything is made up of simpler geometry. A truss bridge is made primarily of rectangles, squares and triangles, for example. A snowman is made up of circles, with a cone-shaped carrot nose.

Answer:

6n+30

Step-by-step explanation:

Step 1:

Multiply 6 and n

Step 2:

Multiply 6 and 5

Step 3:

Put together!

have a great day and thx for your inquiry :)

Answer:

the answer is A

Step-by-step explanation:

distributive property states

a(b+c)=ab+ac

therefore

6(n+5)=6n+30

Answer:

OkStep-by-step explanation:

The exact value of the given trigonometric function cot(π/3) is √3/3.

The cotangent (cot) of an angle is defined as the ratio of the adjacent side to the opposite side of a right triangle.

Here, given that an angle of π/3, which is not a right angle.

So, we need to use the trigonometric identities to find the value of cot(π/3).

cot(θ) = 1/tan(θ)

where θ is an angle in radians.

We know that the tangent of π/3 is √3, as this is the opposite side (which is the same as the sine) divided by the adjacent side (which is the same as the cosine) of a 30-60-90 right triangle.

So, cot(π/3) can be expressed as:

cot(π/3) = 1/tan(π/3)

= 1/√3

Multiplying the numerator and denominator by √3/√3, we get:

cot(π/3) = √3/3

Therefore, the exact value of cot(π/3) is √3/3.

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The correct statement is: µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

In statistics, a distribution refers to the way in which a set of data is spread out or distributed across its possible values. In other words, a distribution describes how frequently different values occur in a dataset.

Given by the question.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed right.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed left.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is not approximately Normal.

µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

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Answer:

5 2/10 or 520%

Step-by-step explanation:

By using trigonometric relations we will see that the area is:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

the guy on top is correct

Step-by-step explanation:

Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

\(\frac{8+4}{8}\)

\(\frac{12}{8}\)

\(\frac{3}{2}\)

Answer:

x=-1

Step-by-step explanation:

-5x/4+3=-1/4+1/2x+5

-1/4+1/2x+5

-5x/4+3=x/2+19/4

-7x/4=7/4

-7x=7by-7

x=-1

Answer: C

Step-by-step explanation:

The answer is C

Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

Answer:

The total population is 4,250,000

Step-by-step explanation:

We know that 212,500 is equal to 5% of the population. The way i to find out how much is 1%. We can do that by dividing

212,500 / 5 = 42,500

So 1% is equal to 42,500. So now we can multiply that by 100 to get the whole population

42,500 x 100 = 4,250,000

So the total population is 4,250,000. I hope this helps you :)

The values are;

1. x = 6 ,y = 6√2

2. x = 9√2, y = 18

3. x = y = 9

4. x = 12, y = 12√2

5. x = y = 4√2

6. x = y =( 3√2)/2

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

There are some special angles , in which 45 is part of them.

sin 45 = 1/√2

cos 45 = 1/√2

tan 45 = 1

1. x = 6 ( isosceles triangle)

y = 6 × √2 = 6√2

2. x = 9√2 ( isosceles triangle)

y = 9√2 × √2 = 9×2 = 18

3. x = 9√2/√2 = 9

x = y = 9 ( isosceles triangle)

4. x = 12 ( isosceles triangle)

y = 12×√2 = 12√2

5. x = 8/√2 = 8√2/2 = 4√2

x = y = 4√2( isosceles triangle)

6. x = 3/√2 = (3√2)/2

x = y =( 3√2)/2 ( isosceles triangle)

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Construct the histogram for the percentage increase in the starting salary by using 10 as the class width.

Answer Output using MINITAB software is given below at the end of answer (bar graph)

Frequency:

The frequencies are calculated by using the tally mark and the range of the starting salary is grouped and the range is from 40 to 120. Here the number of times each percentage increase repeats is the frequency of that particular class.

The width of class is 10.

Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.

The number of tally marks in each class represents the frequency, f of that class.

Similarly, the frequency of remaining classes for the percentage increase is given below at the end of the answer.

The data represents the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary.

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Answer:

C) an open top cone

Step-by-step explanation:

The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :

1.)

Time on mathematics = 1 hour

Time on science homework = 7/8 hours

Total time spent = (1 + 7/8) = \( 1 \frac{7}{8}\)

2.)

Total number of students = 60

Fraction of girls = 3/4

Fraction of boys = 1 - 3/4 = 1/4

Number of boys = 1/4 × 60 = 15 boys

3.)

Initial temperature = - 2°C

Final temperature = 8°C

Change in temperature = Final temperature - Initial temperature

Change in temperature = (8 - (-2)) = 8 + 2 = 10°C

4.)

Elevation of everest = 20028 feets

Elevation of dead sea = - 485 feets

Difference in elevation = (20028 - (-485)) = 20513 feets

5.)

Question is missing key values.

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Answer: The surface area of the rectangular prism is approximately 4 square yards.

Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

So, we have:

160 = lwh

Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.

Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:

lw = V/h = 160/10 = 16

Now, we have two equations:

lw = 16

wh = 160/10 = 16

Solving for w in the first equation, we get:

w = 16/l

Substituting this expression for w in the second equation, we get:

l(16/l)h = 16

Simplifying, we get:

h = 1

Therefore, the dimensions of the rectangular prism are:

length = l

width = 16/l

height = 10

Now, we can calculate the surface area of the rectangular prism using the formula:

SA = 2lw + 2lh + 2wh

Substituting the values we found, we get:

SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))

SA = 32/l + 20l + 160/l

To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:

dSA/dl = -32/l^2 + 20 + (-160/l^2)

0 = -32/l^2 + 20 - 160/l^2

52/l^2 = 20

l^2 = 52/20

l ≈ 1.44

Substituting this value of l back into the expression for SA, we get:

SA ≈ 4 square yards

Therefore, the surface area of the rectangular prism is approximately 4 square yards.

The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.

According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.

Ratio of sauce to oregano:

6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano

Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:

8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano

Therefore, for 8 servings, we would need:

8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce

Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

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Answer: Yes

Step-by-step explanation:

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.

A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.

Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.

In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.

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Answer:

7. 190

8. C

9. A

10. ~66% (not sure about this one though)

Step-by-step explanation:

Answer:

F /r = k

Step-by-step explanation:

F=kr

Divide each side by r

F/r=kr/r

F /r = k

Answer:

Every decimal number can be represented as a rational number.

Answer: Every decimal number can be represented as a rational number.!!!! Hope these helped

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The estimate of the sum of the points is 47/45

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

Points = 6/10 and 4/9

Using the given number line (see attachment), we have the sum expression to be

Sum = 6/10 + 4/9

Evaluate the sum

So, we have the following representation

Sum = 94/90

Simplify

Sum = 47/45

Hence, the sum of the points is 47/45

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The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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