1.(07.01 LC)
What is the value of x in the equation -6 + x = -4? (1 point)
-10
-2
10

1) The first step is to find the coordinates of the vertices of triangle PQR. We have

P = (- 4, - 1)

Q = (- 1, -1)

R = (- 4, - 3)

If we translate a figure with vertex whose coordinates are (x, y) by c units to the right and d units up, the new coordiantes would be (x + c, y + d)

Thus, by translating triangle PQR 3 units to the right and 5 units up, the new coordinates would be

P'(- 4 + 3, - 1 + 5) = (- 1, 4)

Q'(- 1 + 3, - 1 + 5) = (2, 4)

R'(- 4 + 3, - 3 + 5) = (- 1, 2)

We would plot P'(- 1, 4), Q'(2, 4) and R'(- 1, 2) on the graph as shown below

The interest for the investment when the rate is 9% gives $101.25

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let y represent the interest, k represent the constant and x represent the rate. Hence:

y = kx

If the interest is $45 when the interest rate is 4%:

45 = 0.04k

k = 1125

y = 1125

When the rate is 9%:

y = 1125(0.09) = 101.25

The interest for the investment when the rate is 9% gives $101.25

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Answer:

x=8

Step-by-step explanation:

set up a proportion:

\(\frac{20}{4}=\frac{4x-7}{5}\)

simplify:

\(5 =\frac{4x-7}{5}\)

now solve this equation for x:

\(5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8\)

The possible values of the first term (a) are ±3/2, and the possible values of the common ratio (r) are ±4.

Let's denote the first term of the geometric sequence as "a" and the common ratio as "r".

The second term can be expressed as:

Second term = a * r²⁻¹= a * r

The fourth term can be expressed as:

Fourth term = a * r⁴⁻¹= a * r³

Given that the second term is 6 and the fourth term is 96, we can write the following equations:

a * r = 6 (Equation 1)

a * r³ = 96 (Equation 2)

To find the possible values of the first term (a) and the common ratio (r), we can solve these equations simultaneously.

Dividing Equation 2 by Equation 1:

(a * r³) / (a * r) = 96 / 6

r² = 16

r = ±4

Substituting the value of r into Equation 1:

a * (±4) = 6

a = 6 / (±4)

a = ±3/2

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Answer:

itsb a

Step-by-step explanation:

sorry

The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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27

12x4=48

then 3+3+3=9 because its 3/4

then you add 12 because of the 1

then 48-21=27

Answer: its 27

Step-by-step explanation: give it to him or her they earned  it

Answer:

Step-by-step explanation:

Given that 3 twinkies and a cupcake have a total of 750 calories, and there are twice as many calories in a cupcake as a twinkie, you want the know the number of calories in each.

A cupcake has twice as many calories as a twinkie, so may be considered the same as two (2) twinkies for the purpose of counting calories:

  3 twinkies + 1 cupcake = 3 twinkies + 2 twinkies

  = 5 twinkies = 750 calories

Then the number of calories in a twinkie is ...

  750 calories/(5 twinkies) = 150 calories/twinkie

The number of calories in a cupcake is then ...

  (2 twinkies/cupcake) × (150 calories/twinkie) = 300 calories/cupcake

__

Check

3 twinkies + 1 cupcake = 3(150 cal) + 1(300 cal) = 450 +300 cal = 750 cal.

Based on the monthly expenses breakdown, getting a car loan to cut down on monthly car repair cost would be a good move.

Using the parameters given :

Total income : $705.00

Total Expenses : $510.00

Amount saved = $225.00

The amount saved from Last month's income is quite okay. However, looking at the breakdown of her expenses, we can see that she spent quite a lot on car repairs.

It would be advisable of Lianna could get a good car which would allow her to cut down on repair cost because in the long run, it could eat up her savings as well.

Hence, Lianna should opt for a car loan to cut down on repair cost.

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1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

x = 4.08

Step-by-step explanation:

3x = 12.25

3/3x = 12.25/3

x = 4.0833..

x is about 4.08

Answer:

4.08

Step-by-step explanation:

12.25 / 3 = 4.0833333333333 and round

Answer:

R to S

Step-by-step explanation:

Here, we want to get the transformation that is non-rigid

Looking at the plot, only R is facing an entirely different direction

What this mean is that by moving others across the x and y axes, we can get the transformation between them

But in the case involving R such as the transformation between R and S; merely translation is not enough

There has to be rotation and thus, in that case, it is a non-rigid transformation

Step-by-step explanation:

you can solve cos(u) by

cos(u) = adjecent / hypotenes...general formula of cos

cos(u) = √44 / 12

cos(u) = 2√11 / 12 ..... √44 = √4×11 = 2√11

cos(u) = √11 / 6

u = cos^-1 ( √11 / 6 ) ..... divided both aide by cos ( multiple by cos invers )

u = 56.442 .... so we get it's angle

Answer:

\(cos(U)=\frac{\sqrt{11} }{6}\)

Step-by-step explanation:

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. Therefore, we have:

cos(U) = adjacent/hypotenuse = TU/SU

We are given that TU = sqrt(44) and SU = 12, so:

cos(U) = sqrt(44)/12

To simplify this expression, we can first factor 44 into 4 * 11, since 4 is a perfect square and a factor of 44:

cos(U) = sqrt(4 * 11) / 12

cos(U) = (sqrt (4) * sqrt (11)) / 12

cos (U) = (2 * sqrt (11)) / 12

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

cos(U) = sqrt(11)/6

Therefore, the exact value of cos(U) in simplest radical form is sqrt(11)/6

Furthermore, if you want another way to write the answer, dividing by 6 is the same as multiplying by 1/6 so you can do cos (U) = 1/6 * sqrt (11)

Although the other individual was correct that you use inverse trig (cos ^ -1) to find the measure of U, getting an exact answer requires us to leave it in simplest radical form since the number is so large and at best will yield an approximation if you don't keep it in simplest radical form.

Answer:

A - 6

B - 2

Step-by-step explanation:

Answer:

Part A = 6 and Part B = 2

Step-by-step explanation:

7*6= 42

and 44-42

is = 2

Answer: \(y=\dfrac12 x\) .

Step-by-step explanation:

We know that \(a f (x)\)  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by \(\dfrac12\).

Then, the equation of the new function is \(y=\dfrac12 F(x)=\dfrac12 x\) .

i.e. \(y=\dfrac12 x\) .

Answer:

Step-by-step explanation:

The sides of rectangle are:

The area is the product of adjacent sides:

Solve the equation for w:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Info given

We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years

We define x as the number of children under 3 years.

We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.

Solution:

With C the total amount collected and C1 and C2 described above.

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

A researcher is using a chi square test to determine whether people have any preferences among three brands of televisions. The null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

The Chi-square test is a statistical method that is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in a contingency table. It is used to test whether the observed frequencies of one or more variables differ significantly from their expected frequencies. It can be used for both categorical and numerical data.

The null hypothesis for a Chi-square test is that there is no significant difference between the observed and expected frequencies, i.e., the observed frequencies are similar to what is expected based on chance. The alternative hypothesis, on the other hand, is that there is a significant difference between the observed and expected frequencies.

Here, the researcher is using a chi square test to determine whether people have any preferences among three brands of televisions.

Therefore, the null hypothesis for this test would be "d. Proportions of preferred brand in the population is not equal."

This means that the researcher assumes that there is no significant difference between the observed and expected frequencies of each brand, i.e., the proportions of people who prefer each brand are equal.

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A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

Answer:

5 contianers

Step-by-step explanation:

5x4x10=200

1000/200=5

5

Answer:

Step-by-step explanation:

Given line m:

Relationship of line m with following lines:

1. y = 4/5x + 3

2. y = -4/5x + 3

3. y = - 5/4x + 3