Solve for x
9x-6=5x-10

the numerical value of x in fraction and decimal form are 11/2 and 5.5 respectively.

A midpoint is simply a point that divides a line segment into two equal halves.

Given the data in the question;

Since that T is the midpoint of segment SU, segment ST and segment TU are two equal halves of of segment SU.

Segment ST = Segment TU

Plug in the given values and solve for x

14x - 6 = 12x + 5

14x - 12x = 5 + 6

2x = 11

x = 11/2

x = 5.5

Therefore, 11/2 or 5.5 is the numerical value of x.

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Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

b) m+g < and = 20
re arrange
m < and = 20- g
put values of g to find value of m that will always be less or equal

similarly,
15m +20g > and = 300
re arrange  m >=  \(\frac{300-20g}{15}\)

put different values of g to find different values of m which will always be greater or equal.

c) intersecting points of the graph

Answer:

The answer would be 6

There is no work done when pushing against a sturdy brick wall .

The energy that is transmitted to or from an object when a force is applied along a displacement is referred to as work in physics. In its simplest form, usually, force and displacement are used to explain it.. Positive work is the term for the component of a force that moves the point of application when it is applied. A force is said to do negative work if, at the point of application, one of its components points in the opposite direction of the displacement.

Since work is product of force and displacement , so if you are pushing against a sturdy wall lets say you apply n newton of force and wall has not displaced i.e. displacement becomes 0

so if you multuiply anything by zero it becomes zero

therefore work becomes 0 .

that means no work is done while pushing against a sturdy brick wall.

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Answer:

In scientific terms you do work when you exert a force on an object that causes the object to move some distance. Work is done on an object when the object moves in the same direction which the force is exerted.

ex. If you push a child on a swing you are doing work. If you lift a bag of groceries out of a shopping cart, you do work on the bag of groceries. The same thing is done when you pull your books out of your backpack.

If the object does not move, no work is done, no matter how much force is exerted.

Therefore your answer is c.)pushing against a sturdy brick wall

Step-by-step explanation:

Answer: -27a³b⁶ + 8a⁹b¹²

Step-by-step explanation:

chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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The null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

Null hypothesis is a statistical hypothesis that claims there is no significant difference between a specified population parameter and the observed sample statistics. While alternative hypothesis is a statistical hypothesis that suggests that there is a significant difference between a specified population parameter and the observed sample statistics.In the given scenario, the null hypothesis and the alternative hypothesis will be:

Null hypothesis (H0): At most 70% of people who eat fast food more than 2x a week are overweight. (This means less than 70% are overweight)Alternative hypothesis (Ha): More than 70% of people who eat fast food more than 2x a week are overweight.

:We can evaluate the null hypothesis by testing the probability of a sample occurring, assuming the null hypothesis is true. If the probability of a sample is very low, it implies that it is unlikely that the sample was obtained assuming that the null hypothesis was true, and we can reject the null hypothesis and accept the alternative hypothesis

.In conclusion, the null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

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Answer: say what now?

Step-by-step explanation:

5N² is expressed as a product of prime factors in index form as  \(5^{5} * 3^{2} * x^{10}\) .

In the expression of a number as the product of its prime factors, known as prime factor index form, each prime factor is only mentioned once, either as itself or, if necessary, to a required power.

Given:

N is a number that is expressed as a product of its prime factors in index form.

N = \(3x * 5x^{2} * x^{3}\)

We have to express 5N² as a product of prime factors in index form.

5N² = 5(\(3x * 5x^{2} * x^{3}\))²

       = \(5 * 9x^{2} *5^{4} x^{2} *x^{6}\)

       = \(5 * (5^{2}x)^{2}* (3x )^{2} *x^{6}\)

( using exponential properties  \(a^{m} *a^{n} = a^{m+n} and (a^{m} )^{n} = a^{mn}\))

    = \(5^{5} * 3^{2} * x^{10}\)

The prime factors of 5N² are 5,3 and x respectively.

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Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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Answer:

C. x = 3.71

Step-by-step explanation:

4 + 9(ln x) = 15.8

Subtract 4 from both sides.

9(ln x) = 11.8

Divide both sides by 9.

ln x = 11.8/9

x = e^(11.8/9)

x = 3.71

4 + 9 • In x = 15.8

x= 3.71

the formula for the volume of the open-top box in terms of x is: V(x) = (14 - 2x)(11 - 2x)x

To find the formula for the volume of the open-top box formed from a 14-inch by 11-inch piece of cardboard, we need to consider the dimensions of the box after cutting squares from each corner and folding up the sides.

Let "x" represent the side length of the squares cut from each corner. After cutting and folding, the dimensions of the box will be:

- Length: 14 - 2x inches (removing x inches from both ends)
- Width: 11 - 2x inches (removing x inches from both ends)
- Height: x inches (the height is equal to the side length of the squares)

The formula for the volume of a box is given by:

Volume = Length × Width × Height

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Answer: 8 to 40

6:30

2/10

Step-by-step explanation:To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)

8 times 5 equals 40 -so this one is right

6 times 5 equals 30 -yep this one is right too

2 times 5 equals 10 -yeperdoodle

Yeah..so these are the answers! let me know if this helps you out.

The probability that the team wins the match is 1/9.

Here the odds against winning are given to be 8 to 1. It is also said that they lose more than they win.

The above statement indicates that out of every 8 + 1

= 9 matches, the team has a probability of losing 8 matches and winning one match

Probability

= no. of observations for the favorable event / Total number of observations

Here we need to find the probability of winning.

Let A be the event that the team wins the match.

As we can see the total number of observations is 9 matches.

Therefore, n = 9

n(A) = 1

Hence, P(A)

= n(A)/n

= 1/9

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Answer:

coefficient - 5

constant - 7

variable- y

Step-by-step explanation:

variables are letters

constants are added to variables and are only numbers

coefficients are numbers in front of variables.

Answer:

A. 5

B. 7

C. y

Step-by-step explanation:

hope this helps

It would be better for Daniel to ask 50 students about their favorite fruit. This is because a larger sample size generally provides more accurate and representative data. With a larger sample size, the survey results are more likely to reflect the preferences of the entire middle school population, whereas a smaller sample size may not be as representative and could potentially skew the results. Additionally, a larger sample size can provide a more comprehensive view of the trends and patterns in the data, which can be helpful in drawing meaningful conclusions.

If you are using this for an assignment, please put it in your own words.

~~~Harsha~~~

Let the number be x.

The mathematical expression for the statement is,

Answer: x = -44

Step-by-step explanation:

1/2(x - 10) = \(\frac{3}{4}\) (x+8)    Apply the distributive property

1/2x  - 5 = 3/4x + 6       Add 5 to both sides

         +5              +5

  1/2x = 3/4x + 11    Subtract 3/4x  from both sides

-3/4x       -3/4x

    -1/4x = 11       Divide both sides by -1/4

     x =   -44

The surface area of the regular pyramids have the values for:

(1). 623 in²

(2). 679.8 ft²

(1). Area of one triangle face = 1/2 × 20 in × 15 in

Area of one triangle face = 150 in²

Area of 3 triangle face = 3 × 150 in² = 450 in²

Area of bottom triangle = 1/2 × 20 in × 17.3 in = 173 in²

Surface area of pyramid = 450 in² + 173 in²

Surface area of pyramid = 623 in²

(2). Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of nonagon × (n)number of side

apothem = s/[2tan(180/n)]

apothem = 10ft[2tan(180/6)]

apothem = 5√3

perimeter = 6 sides × 10ft = 60 ft²

Area of the bottom hexagon = 1/2 × 5√3 × 60 ft²

Area of the bottom hexagon = 259.8075 ft²

Area of one triangle side face = 1/2 × 10ft × 14ft = 70 ft²

Area of 6 triangle side faces = 6 × 70 ft² = 420 ft²

Surface area of the regular pyramid = 259.8075 ft² + 420 ft²

Surface area of the regular pyramid = 679.8076 ft²

Therefore, the surface area of the regular pyramids have the values for:

(1). 623 in²

(2). 679.8 ft²

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Problem

Solution

The value of r indicates the tendency for the line or the slope if the value of r is negative then the slope would be - and if the value of r is + then the slope would be positive

And as we can see here r =-0.83 and the slope m = -1.21

Answer: 93

Step-by-step explanation:

10² - (35÷5)

10² = 100

100 - 7

=

93

Answer:

93

Step-by-step explanation:

10² - (35÷5)

10² - (7)

100 - 7 = 93

-TheUnkonwnScientist

Answer:

Step-by-step explanation:

To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.

slope = (-5 - 7)/(-3 - 2) = -12/-5 = 12/5

slope = (7 - -5)/(2 - -3) = 12/

Answer:

t=7

Step-by-step explanation:

N=45

find t

45=t^2-t/2

0=t^2-t/2-45

use the quadratic formula

t=6.96~=7

Answer:

Step-by-step explanation:

45 = t2 - t/2

45 = 30(2) - 30/2

45 = 60 - 15

45=45