8+3a+7b-5+2a-7b combine like terms means to add the coefficients (numbers) in front of like variables

The values of the sides are x₁ = 16. 79 and x₂ = 15. 44

It is important the following trigonometric identities and their ratios, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have;

Let's determine the hypotenuse side, we have;

sin 73. 5 = 16. 1/x₁

cross multiply the values, we get

x₁ = 16.1/0. 9588

x₁ = 16. 79

For the value of x₂, we have;

tan 42. 6 = x₂/16. 79

cross multiply, we have;

x₂ = 16. 79 × 0. 9195

multiply

x₂ = 15. 44

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

The slope is 5 and the y intercept is 9

Step-by-step explanation:

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 5x+9

The slope is 5 and the y intercept is 9

Answer:

5 is the slope and 9 is the y-intercept

Step-by-step explanation:

in the equation, it's ordered like y=mx+b, which m is the slope and b the y-intercept

The answer will be option B. The y-values are all greater than or equal to 2.

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.

Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.

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Answer:

35

Step-by-step explanation:

The probability of picking a green ball on the first pick, given that at least one red is chosen, is 11/19.

The probability of picking a green ball on the first pick, given that at least one red is chosen, can be calculated by finding the total number of possible outcomes and then dividing by the number of outcomes that include at least one red ball. In this bag, there are 11 green balls and 5 red balls, for a total of 16 balls. Since two balls are taken out successively without replacement, the total number of outcomes is 16 choose 2, or 120. Of those, there are 10 outcomes that include at least one red ball, so the probability of picking a green ball on the first pick, given that at least one red is chosen, is 11/19. This can be calculated by dividing the number of outcomes that include at least one red ball (10) by the total number of outcomes (120).

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Answer:

(1,9)

Step-by-step explanation:

Answer:

(1,9)

Step-by-step explanation:

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

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The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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Answer:

$6.00

Step-by-step explanation:

Total amount of money = 0.25q + 0.1d

where q is the number of quarters and d is the number of dimes

The problem states we have 18 quarters: d = 18

And that there are 15 dimes: d = 15

Plugging it in we get

= 0.25(18) + 0.1(15)

= 4.5 + 1.5

= 6.0

Answer:

-1+1

Step-by-step explanation:

cause takes out one gallon then adds one

Answer:

its not -1+1 NOT HELPFUL

Step-by-step explanation:

hi how is your day

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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The t- distribution should be used whenever, c. the sample size is less than 30.

When the sample size is small or the population standard deviation is unknown, the t distribution is a probability distribution that is used to calculate population parameters. The t distribution's form resembles that of the normal distribution, but it has fatter tails, allowing for more extreme values to occur. This is due to the fact that the t distribution accounts for the extra uncertainty brought about by extrapolating the population standard deviation from the sample standard deviation. In situations when the sample size is small (usually fewer than 30) or the population standard deviation is unknown, the t distribution is employed in hypothesis testing, confidence interval calculation, and other statistical analysis.

Hence, the t- distribution should be used whenever, c. c. the sample size is less than 30.

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Answer:8,976

Step-by-step explanation:

Since there are seventeen racks and 528 books on each you do 17 times 528 which gives you 8,976

Answer:

2) The negative reciprocal of 4 is -1/4.

Using the point-slope form of a line (y - y1 = m(x - x1)), where (x1, y1) is the given point (-16, 2) and m is the slope:

y - 2 = -1/4(x - (-16))

y - 2 = -1/4(x + 16)

y - 2 = -1/4x - 4

y = -1/4x - 2

Therefore, the equation of the line perpendicular to y = 4x - 10 that passes through the point (-16, 2) is y = -1/4x - 2. So, the correct answer is A.

3) The given equation is y - 3x = -8. To find the equation of a line perpendicular to this, we need to determine the negative reciprocal of the slope of the given line, which is 3. The negative reciprocal of 3 is -1/3.

Using the point-slope form with the point (3, 2) and the slope -1/3:

y - 2 = -1/3(x - 3)

y - 2 = -1/3x + 1

y = -1/3x + 3

Therefore, the equation of the line perpendicular to y - 3x = -8 that passes through the point (3, 2) is y = -1/3x + 3. So, the correct answer is D.

4) The given line passes through the point (-5, 2) and the origin (0, 0). The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1).

slope = (0 - 2) / (0 - (-5))

slope = -2 / 5

slope = -2/5

The negative reciprocal of -2/5 is 5/2. Therefore, the slope of a line perpendicular to the line passing through (-5, 2) and the origin is 5/2. So, the correct answer is D.

Answer: -0.364

Step-by-step explanation:

Answer:

-0.364

Step-by-step explanation:

(-)x(+)= (-)

multiply and add sign

Answer:

a) 1/20 = 5%

b) 7/50 = 14%

c) 3/4 = 75%

d) 25/36 = 69%

e) 10/80 = 13%

f) 73/90 = 81%

g) 125/140 = 89%

h) 146/200 = 73%

i) 25/40 = 63%

j) 18/21 = 86%

Answer:

Every input can have only one output. But an output can have multiple inputs. Basically an x coordinate can have the same y coordinate as another ordered pair but not the same x coordinate. This is why d) does not represent a function.

Step-by-step explanation:

(4,-2)

(4,2)

4 is mentioned twice and every input( x value) can have only one output ( y-value)

Answer:

5/52 i think

Step-by-step explanation:

there are 52 cards in desk ,with26red and black cards.There 2red and 2 blackthree and. 1 six of hearts .

.

.

.

.

.

.

.

The change in distance between the two after 15 minutes is 2.124 mi/h.

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = Distance / Time

If one walks east at 3 mi/h and the other walks northeast at 2 mi/h, then after 15 minutes, their distance will be:

Distance = Velocity × Time

Distance₁ = 3 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.75 mile east

Distance₁ = 2 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.5 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people.

d² = (0.5 sin 45°)² + (0.5 cos 45° - 0.75)²

d² = 0.282

d = 0.531 mi

So, After 15 mins, the distance will be 0.531 mi and the change in distance in mi/h is:

(0.531 mi / 15 mins)(60 mins / hour) = 2.124 mi/h

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Answer:

you would have 12000 gold

Step-by-step explanation:

buz buz

should be the right answer but im not sure

Answer:

We can call last years amount as 100 percent. that means 68-100. We want to know was 85 is so we can say 85-x. We have 68-100  

                                                                             85-x

Cross multiplying and solving for x we get 8500/68 =x  x=125, so the answer is 125.

The future value of $400,000 invested for 6 years at a 6% interest rate compounded continuously is approximately $573,947.00.

To calculate the future value (P) of an amount (Po) invested for a time period (t) at an interest rate (k) compounded continuously, we use the formula P = Po * e^(kt), where Po is the initial amount, k is the interest rate, t is the time period, and e is Euler's number.

Given:

Po = $400,000

t = 6 years

k = 6% or 0.06

Using the formula, we can calculate the future value (P):

P = $400,000 * e^(0.06 * 6)

P = $400,000 * e^0.36

Using a calculator or software, we find:

P ≈ $400,000 * 1.434868

P ≈ $573,947.36

Therefore, the future value (P) of the amount $400,000 invested for 6 years at an interest rate of 6% compounded continuously is approximately $573,947.36 (rounded to the nearest cent).

Alternatively, rounding the final result to the nearest cent, the future value is $573,947.00.

Thus, the future value of the amount Po invested for time period t at interest rate k, compounded continuously, is approximately $573,947.00

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Answer:

=3

Step-by-step explanation:

5b/c

=5*6/10

=30/10

=3

Answer:

If b = 6 and c = 10, the value of an expression is 3.

Step-by-step explanation:

Given the expression

\(\frac{5b}{c}\)

We have to evaluate the expression if b = 6 and c = 10.

Important Tip:

In order to evaluate the expression  \(\frac{5b}{c}\), all we need to do is to substitute the value of b and c in the expression.

As the expression is

\(\frac{5b}{c}\)

substitute b = 6 and c = 10 in the expression

\(\frac{5b}{c}=\frac{5\left(6\right)}{10}\)

     \(=\frac{30}{10}\)

      \(=3\)       ∵ \(\frac{30}{10}=3\)

Therefore, if b = 6 and c = 10, the value of an expression is 3.

Answer:

-15

Step-by-step explanation:

-13-2= -15

(to check:2+ -15= -13)

\(\huge\text{Hey there!}\)

\(\mathsf{2 + [blank] = -13}\)

\(\large\textbf{CONVERT TO: }\)

\(\mathsf{2 + b = -13}\)

\(\mathsf{b + 2 = -13}\)

\(\large\textbf{SUBTRACT 2 to BOTH SIDES: }\)

\(\mathsf{b + 2 - 2 = -13 - 2}\)

\(\large\textbf{SIMPLIFY IT!}\)

\(\mathsf{b = -13 - 2}\)

\(\mathsf{b = -15}\)

\(\huge\text{Therefore, the mystery number is: \boxed{\mathsf{-15}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

The line y = 6 - 3x has a positive slope and is upward and to the right.

To determine the slope of the line, we can compare the equation to the standard slope-intercept form y = mx + b, where m represents the slope. In this case, the equation is y = 6 - 3x, so the coefficient of x, -3, represents the slope.

Since -3 is negative, the line slopes downward and to the right. However, if we rewrite the equation as y = -3x + 6, the slope becomes positive (+3). Therefore, the corrected equation y = 6 - 3x represents a line that slopes upward and to the right.

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