Select the correct answer.
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?
Α. -4
B.-2
C.-1
D. 1
Reset
Next​

The correct classification for the triangle shown in figure is,

⇒ Isosceles triangle.

Any triangle which is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The diagram of triangle is shown in image.

Here, Two sides of the given triangle are equal to each other.

Hence, By definition of Isosceles triangle;

The correct classification for the triangle shown is,

⇒ Isosceles triangle.

Thus, The correct classification for the triangle shown in figure is,

⇒ Isosceles triangle.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

for such more question on angle

https://brainly.com/question/25716982

#SPJ8

the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

a) The rejection region for this one-tailed hypothesis test is z ? z > 2.33.

The test statistic value is z = 2.76.

Therefore, the conclusion is that we reject H0. The data suggests that the difference in average tension bond strengths is greater than 0.

For this one-tailed hypothesis test, we must reject the null hypothesis (H0: m1 - m2 = 0) if the test statistic is greater than 2.33. Our test statistic value is 2.76, which is greater than 2.33, so we reject H0. This indicates that the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

Learn more about mean absolute deviation at: https://brainly.com/question/447169

#SPJ1

Answer:

A) 4596.96

B) 4511.16

Step-by-step explanation:

Wilbert should choose option B. The savings will be $85.8 for the loan.

The sum you borrow to purchase the home is known as the amount borrowed. Because most lenders don't always offer 100% financing, it usually differs from the purchase price.

It's also crucial to take the loan-to-value ratio into account. Lenders frequently discuss this value, which compared the loan amount with the purchase price.

Checking for 4 years at 4.5% interest with monthly payments of $95.77

4596.96-4200=396.96

Checking for 3 years at 4.7% interest with monthly payments of $125.31

396.96-311.16=85.8

Therefore, Wilbert should choose option B. The savings will be $85.8 for the loan.

To know more about the Loan amount follow

https://brainly.com/question/26011426

#SPJ5

Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

Find out more about experimental study here:

https://brainly.com/question/17274244

#SPJ1

Answer: Experiment

No, because telling patients about the pills introduces bias

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

Read more about Opportunity Cost at: https://brainly.com/question/1549591

#SPJ1

Answer:

f(x) = 72-12x

Step-by-step explanation:

this might be too late but it could be useful for future people

Answer:

f(x) = 72-12x

took a while to solve.......

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

Read more about perimeter at

https://brainly.com/question/18019422

#SPJ1

Given:

Mario is making 12 dozen cookies.

Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

The answer is -9x + 6 2/3.

Answer:

Top-left system: (3,5)

Bottom-right

system: (-1,0)

Step-by-step explanation:

One way to solve a system of equations is to graph them. The solution is the point of intersection (where the lines cross). If you need to give the x-value and y-values separately, the first number in the pair is the x and the second number is the y.

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The equation that represents the relationship between x and y in the table is (L.) y = -5x + 3.

In mathematics, an equation is a relationship between two expressions that are expressed as equality on each side of the equal to sign.

Given in the table is the relationship between x and y respectively.

Substitute the values of x in the respective equations to find the value of y, the resulting value which matches the value of y in the table determines the correct equation.

J. y = -5x -27

⇒ For x = -3, y = -5(-3) - 27 = 15 -27 = -12 ≠ 18

K. y = -5x + 18

⇒ For x = -3, y = -5(-3) + 18 = 15 + 18 = 33 ≠ 18

L. y = -5x + 3

⇒ For x = -3, y = -5(-3) + 3 = 15 + 3 = 18 ≈ 18

For x = -1, y = -5(-1) + 3 = 5 + 3 = 8

For x = 2, y = -5(2) + 3 = -10 + 3 = -7

For x = 6, y = -5(6) + 3 = -30 + 3 = -27

All the values of x and y in the table satisfy the equation y = -5x + 3. Hence this is the required equation that represents the relationship.

To learn more about equations visit:

https://brainly.com/question/28880795

#SPJ13

The value of y when a = 1 and b = 2 is 22.

The equation of can be solved as follows: We will substitute the value of a and b  in the equation to find the value of y.

Therefore,

y = 3ab + 2b³

Let's find y when a = 1 and b = 2

Hence,

y = 3(1)(2) + 2(2)³

y = 6 + 2(8)

y = 22

Therefore,

y = 22

learn more on equation here: https://brainly.com/question/29663159

#SPJ1

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

BD>DA>AB

Step-by-step explanation:

Since ACB = 60, ACD = 120. Since ACD>ACB then DA is greater than AB. Then we can see that AC + DC has to be greater than DA because of triangle property theorem. That's the same as BC + CD by transitivity and BC + CD is BD by PWP. That means that BD > DA. Since we know that BD > DA, we can say, BD > DA > AB.

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

Read more about Integers at; https://brainly.com/question/17695139

#SPJ1

There are 6 such paths, so there are 6 outcomes in the sample space that show Casey winning.

We can use a tree diagram to visualize the different outcomes of Casey's rolls:

Each branch of the tree represents one roll of the number cube.

The first two rolls are independent and equally likely to be any of the six numbers.

If the first two rolls are the same number, then Casey gets to roll again. If the third roll is a 6, she wins.

We can count the number of outcomes in the sample space that show Casey winning by counting the number of paths in the tree that lead to a 6 on the third roll.

These are:

1-1-6

2-2-6

3-3-6

4-4-6

5-5-6

6-6 (rolls again)-6

Therefore, the answer is 6.

To learn more about the sample space;

https://brainly.com/question/28043513

#SPJ1

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Answer: 160

Step-by-step explanation: 20% of 160 is 32. 100% of 160 is 160, therefore 20 percent of 160 equals 32.

Answer:

B.81x^4/16

Step-by-step explanation:

Simplify the expression.

1. For every ounce of fertilizer 2.5 more pepper pods can be expected.

2. When no fertilizer is added, 4 pepper pods can be expected.

3. 8 pepper pods. Plug in 1.6 for X: y=2.5(1.6)+4=8

Answer:

1. slope= 2.5

2. y-intercept= 0,4

3.  Plug in 1.6 for X: y=2.5(1.6)+4=8 so it would be 8 .