The temperature was 70 then dropped to 30 how much is it now?

Therefore, the open box with the largest volume has a length  of \(20” - 2(4”) = 12”\), and a height of 4”. The volume of the resulting box is 0 x 12 x 4 = 0 cubic inches.

The resulting box with the largest volume can be created by cutting out 4 squares with the same dimensions from each corner of the 8-inch by 20-inch cardboard. After cutting the squares, the sides can be bent up to form an open box. The dimensions of the box with the largest volume can be calculated using the formula for the volume of a rectangular prism, \(V = L x W x H.\)

In this case, L = 8” - 2x, W = 20” - 2x, and H = x, where x is the length of each side of the square cut from each corner. The volume of the resulting box will be maximized when x is the greatest value that still produces a box with the given dimensions. Solving the equation, 8” - 2x = x, yields x = 4”.

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Answer:

I would say B

Step-by-step explanation:

Answer: the first option is correct a  

A. 30 paintings and 42 bracelets

B. 20 paintings and 42 bracelets

C. 15 paintings and 50 bracelets

D. 10 paintings and 44 bracelets

Step-by-step explanation:

just trust me lol

Answer:

hey sorry someone went on the question we were talking on and reported it they also reported where i said I was taking a quiz and the question so i had to put in the comments that it was after that quiz and during another quiz also they can't see the timeline so it was between quizzes that i posted it

Step-by-step explanation:

The monthly payment amount is approximately $129.45.

To find the payment amount and finance charge for the loan, we can use the formula for calculating monthly loan payments and finance charges.

The formula to calculate the monthly loan payment amount is given by:

\[ P = \frac{{r \cdot PV}}{{1 - (1+r)^{-n}}} \]

where:

P = monthly payment amount

r = monthly interest rate (APR divided by 12 months and 100 to convert it to a decimal)

PV = present value or loan amount

n = total number of payments

Given:

Loan amount (PV) = $4800

APR = 12%

Monthly payments (n) = 24

To calculate the monthly interest rate (r), we divide the annual percentage rate (APR) by 12 and convert it to a decimal:

\[ r = \frac{{12\%}}{{12 \cdot 100}} = \frac{{0.12}}{{12}} = 0.01 \]

Substituting the values into the formula, we have:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

Calculating this equation will give us the monthly payment amount.

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term (P * n).

Let's calculate these values:

\[ P = \frac{{0.01 \cdot 4800}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - (1+0.01)^{-24}}} \]

\[ P = \frac{{48}}{{1 - 0.62889499777}} \]

\[ P \approx \frac{{48}}{{0.37110500223}} \]

\[ P \approx 129.4532449 \]

To calculate the finance charge, we can subtract the loan amount (PV) from the total amount paid over the loan term:

Total amount paid = P * n

Total amount paid = $129.45 * 24

Total amount paid = $3106.80

Finance charge = Total amount paid - PV

Finance charge = $3106.80 - $4800

Finance charge = $-1693.20

The finance charge is approximately -$1693.20. The negative sign indicates that the borrower will be paying less than the loan amount over the loan term.

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1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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Answer:

True

Step-by-step explanation:

:) Hope this helps ! x

True,  A translation maps each point to its image along a vector called the translation vector.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A translation maps each point to its image along a vector called the translation vector

Example:

A = (2, 4) translated vertically up with 2 units.

The image of A = (2, 4 + 2) = (2, 6).

The translation vector is the 2 units.

Thus,

A translation maps each point to its image along a vector called the translation vector

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Answer:

x=log5/log2≈2.32

Step-by-step explanation:

log 2^x = log5 -->

x log 2 = log 5

x= log5/log2=0.6989/0.3010≈2.32

Answer:

When dissolved, bases release hydroxide ions, OH-(aq) into solution.

Step-by-step explanation:

Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"

Answer: It increases the concentration of OH- in solution.

Step-by-step explanation:

The probability that exactly 7 rivets fail the test is approximately 0.0483.

To calculate this probability, we first define p as the probability that a rivet will hold a 200 lb. force without any deformation. Thus, the probability of a rivet failing to hold a 200 lb. force is 1 - p. In this case, p is given as 0.99, so the probability of a rivet failing is 0.01.

Next, we let X represent the number of rivets that fail the test. Since the number of rivets tested is 500, we can model X as a binomial random variable with parameters n = 500 (the number of trials) and p = 0.01 (the probability of failure).

We want to find the probability that exactly 7 rivets fail the test, which can be denoted as P(X = 7).

This probability can be calculated using the binomial probability formula:

P(X = 7) = (500C7) * (0.01^7) * (0.99^(500-7))

Here, (500C7) represents the number of ways to choose 7 rivets out of 500, which is calculated as 500! / (7! * (500-7)!).

Evaluating this expression, we find that P(X = 7) is approximately 0.0483.

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Answer:

(0,150)

Step-by-step explanation:

Remember that the y-intercept of a function is where x=0. Therefore, we need to plug in x=0 in the function to get y:

f(x)=150(1.25)^x

f(0)=150(1.25)^0

f(0)=150(1)

f(0)=150

Therefore, the y-intercept of the function is (0,150)

Answer:

y- intercept = 150

Step-by-step explanation:

To find the y- intercept let x = 0, then

f(0) = 150\((125)^{0}\) [ \(a^{0}\) = 1 ]

    = 150 × 1 = 150 ← y- intercept

Answer:

1 hour: $12.75

Step-by-step explanation:

Easy divide 38.25 by 3 which is 12.75

Here is the completed table of the equivalent rates:

Number of minutes   Total meals served

20                                  32

30                                   48

5                                     8

Ratio expresses the relationship between two or more numbers. Ratio is the frequency of the number of times that one value is contained within other value(s). Ratio is used to compare values.

Th first step is to determine the ratio of the number of minutes to the total meals served.

The first step is to simplify the given values of the number of minutes the and the total meals served.

20 : 32

5 : 8

Total meals served at 30 minutes = (30 x 8) /5

240 / 5 = 48 meals served

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Answer:

Θ ≈ 33.557°

Step-by-step explanation:

using the cosine ratio in the right triangle

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{15}{18}\) , then

Θ = \(cos^{-1}\) ( \(\frac{15}{18}\) ) ≈ 33.557° ( to the nearest thousandth )

Answer:

14. Three points tat are not collinear

Three points that are not colinear consist of a line and a third point, therefore, joining all three points form a flat figure having a length and a width which is a two-dimensional flat figure or a plane

15. A line and a point not lying on the line

Like the example above, the joining of the points results in a two dimensional figure having a length and a width also known as a planar surface

16. Two lines which intersect at a point

Given two lines that intersect at a point, joining the other end point of the two lines results in the forming of a flat figure, that can be described in two dimensions also known as a planar surface or plane

Step-by-step explanation:

A plane in mathematics is a flat surface that has only two dimensions and extends infinitely in all directions

There is approximately 1336.5 cubic inches of volume left in both speaker cabinets.

To solve this problem, we can calculate the volume of the cube-shaped speakers and then determine the volume that is left in both speaker cabinets after accounting for the volume of one speaker face.

Given:

- The cube-shaped speakers are 9 inches across, which means each side of the cube is 9 inches long.

To calculate the volume of a cube, we use the formula:

Volume = side length^3

Volume of each cube-shaped speaker = 9^3 = 729 cubic inches

Now, we need to determine the volume taken up by one speaker face. If the face of the speaker takes up 1/6 of the total volume, we can calculate it as follows:

Volume of one speaker face = (1/6) * 729 = 121.5 cubic inches

To find the volume remaining in both speaker cabinets, we subtract the volume of one speaker face from the total volume of both speakers:

Volume remaining = Total volume - Volume of one speaker face

Volume remaining = 2 * 729 - 121.5

Volume remaining = 1458 - 121.5

Volume remaining ≈ 1336.5 cubic inches

Therefore, there is approximately 1336.5 cubic inches of volume left in both speaker cabinets.

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Answer:

c) angle 4

Step-by-step explanation:

correspond is same spot but diagonally.

Answer:

\(\frac{3}{22}\)

Step-by-step explanation:

To multiply fractions, just multiply the numerators (tops) times each other and the denominators (bottoms) times each other:

\(\frac{-1}{4}\) x \(\frac{-6}{11}\) = \(\frac{6}{44}\)

Now all we have to do is to simplify.  In this case, just find the largest number that goes evenly into the numerator and the denominator: it is 2.  Divide numerator and denominator by 2 to get the final answer: \(\frac{3}{22}\)

(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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Answer:

1.  C.

2. D.

3. D.

Step-by-step explanation:

A.  Round both dimensions the nearest whole number. 8 1/3 rounds to 8,     6 3/4 rounds to 7. Multiply these two and your estimate for the tarp area is 56 sq yds. Option C.

B. Convert both mixed numbers to improper fractions. Multiply whole number by divisor and add the dividend. (8*3) + 1 = 25. First number is 25/3.(6*4) + 3 = 27. Second number is 27/4. Multiply these two numbers fractions  and get 225/4. Convert to a mixed number, 56 1/4. Option D.

C. This answer is reasonable. 56 1/4 is pretty close to our estimate of 56 sq yds. Or just choose the option that corresponds to your estimate from part A. Option D.

Answer:

a= 30 b=-78

Step-by-step explanation:

Answer:

1) Option 1

2) Option 2

Step-by-step explanation:

1) 2df+3de

Where d = 10, e = -1 and f = 3

=> 2(10)(3) + 3(10)(-1)

=> 60 - 30

=> 30

2) -2ghi + 3hi

Where g = -5, h = -3 and i = 2

=> -2(-5)(-3)(2) + 3(-3)(2)

=> -60 - 18

=> -78

Answer:

The total cost of the skateboard is 75.58881, rounded, it's $75.59.

Step-by-step explanation:

Since the merchandise is discounted by 12%, this means there's a decrease in price.

We need to convert our discount to a decimal, 0.12, and then multiply it by the original price. So,

$79.35 × 0.12 = 9.522

Then we subtract: $79.35 - 9.522 = 69.828

Since we have to pay a sales tax of 8.25%, we need to convert that into a decimal, 0.0825, and then multiply the sales tax by 69.828. So,

69.828 × 0.0825 = 5.76081

Now we add 5.76081 to our price, 69.828, which is 75.58881.  75.58881 rounded to the nearest hundredth is 75.59.

Answer:

20 cm, 35 cm, 40 cm

Step-by-step explanation:

sum the parts of the ratio, 4 + 7 + 8 = 19 parts

Divide the perimeter by 19 to find the value of one part of the ratio.

95 cm ÷ 19 = 5 cm, then

4 parts = 4 × 5 cm = 20 cm

7 parts = 7 × 5 cm = 35 cm

8 parts = 8 × 5 cm = 40 cm

Thus the 3 sides are 20 cm, 35 cm and 40 cm

Answer:

The measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Step-by-step explanation:

Given that the lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8.

Also given that the perimeter of the triangle is 95 cm.

We know that the Perimeter of a triangle is the sum of all the sides of a triangle.

As the lengths of the sides of a triangle are in the proportion 4 ​: 7 ​: 8. Thus, the measure of the sides will have the same scale factor x.

Therefore,

4x + 7x + 8x = 95

Add similar elements: 4x + 7x + 8x = 19x

19x =  95

Divide both sides by 19

19x/19 = 95/19

x = 5

Therefore, the measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Verification:

20 + 35 + 40 = 95

95 = 95

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

[10] D

      A counter-example is an example that shows the argument can have true premises and a false conclusion.

      Option D shows someone who is good at math, but isn't an engineer. This is a counter-example.

[11] B

      Similar to the previous question, options A, B, and D are all dogs. However, option C is not a dog and also has four legs. Therefore, it is a counter-example.

A term is a constant, a variable, or a number-variable product.

In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.

A term can be a number, a constant, a variable, or the product of a number and a variable in this context.

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The statement is true: If x and y are linearly independent, and if z is in Span {x, y}, then {x, y, z} is linearly dependent.

The statement is true.
Let's first understand the terms used:
Linearly independent:

A set of vectors is linearly independent if none of them can be expressed as a linear combination of the other vectors. In other words, no vector in the set can be written as a sum of scalar multiples of the other vectors.
Span:

The span of a set of vectors is the set of all linear combinations of those vectors.

In this case, Span\({x, y}\) is the set of all vectors that can be formed by adding scalar multiples of x and y.
Now, let's consider the given statement:
If x and y are linearly independent, it means that neither x nor y can be expressed as a linear combination of the other. However, it is given that z is in the Span\({x, y}.\)

This means that z can be expressed as a linear combination of x and y:
\(z = ax + by\), where a and b are scalar constants.
Let's analyze the set\({x, y, z}\). We know that z can be expressed as a linear combination of x and y, as shown above. This implies that the set \({x, y, z}\)is linearly dependent, because one vector (z) can be expressed as a linear combination of the others \((x and y)\).

Thus, the statement is true: If x and y are linearly independent, and if z is in Span\({x, y}\), then\({x, y, z}\) is linearly dependent.

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Answer:

60

Step-by-step explanation:

400-160=240

240/4=60

Answer: F

Step-by-step explanation:

The effects of the reduction in each statistical measure of the data-set is given as follows:

a. The shape of the data-set remains constant.

b. Both the mean and the median will be subtracted by 500.

c. The standard deviation and the IQR remain constant.

The shape of the distribution is related to how the distributions are spread around the mean.

Each observation will be reduced by $500, meaning that the spreads remain constant, hence:

The shape of the data-set remains constant.

The mean is the sum of the observations divided by the number of observations.

500 will be subtracted by each observation, hence the mean will be subtracted by 500.

The median is the middle value of the data-set. Since all values will be subtracted by 500, the middle value also will, hence the median will be subtracted by 500.

Both are measures of spread, as:

Since all measures change by the same amount, the difference between the percentiles will be the same, as will the differences squared between each observation and the mean, hence:

The standard deviation and the IQR remain constant.

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