please help and explain, will give BRAINLIEST! (also, use things like sin, cos, tan, pythagorean theorem, etc to solve please)

Answer:

The correct option is;

g(x) = Negative two-fifths(10)x

Step-by-step explanation:

The rule for the reflection across the x-axis is as follows;

Reflection about the x-axis

Pre-image point before reflection = (x, y)

Point of image after reflection = ((x, -y)

Therefore, the x coordinate remains the same while the y coordinate changes sign

For which given that f(x) = y = 2/5(10)x and g(x) = Reflection of f(x) across the x-axis, we have

Reflection about the x-axis

Pre-image point before reflection = (x, f(x))

Point of image after reflection = (x, g(x))

Hence g(x) = -f(x) = -2/5(10)x.

Answer:

A

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

y ≤ [tex]-\frac{1}{3}x+3[/tex]

This inequality representing the dark line having y-intercept as 3 will have the solution area represented by the shaded region below the line (b and C)

Another inequality, y ≥ 3x + 2 representing a dark line having y intercept 2.

This inequality will have the solution area represented by shaded region on the left of the line (A and D)

Therefore, solution to the system of inequalities will be the common area (D).

Option (A) will be the answer.

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

Answer:

top plot

Step-by-step explanation:

From the box and whisker plot, the smallest data point is 0 and the largest data point is 100

The median is 70

The only plot that has points at 0 and 100 is the first plot

Answer:

a bag of 5 kg potatoes for $4.99

Step-by-step explanation:

estimated $5.00 for 5 kg

5.00/5 = $1.00 per kg

Answer:

11494.04cm³

Step-by-step explanation:

Volume of a sphere

V = 4/3πr³

you got a diameter of 28cm, so half of taht is the radius.

r = 14cm

plug in and solve

V = 4/3πr³

= 4/3π(14)³

= 11494.04cm³

Answer:

$1,750,000

Step-by-step explanation:

The company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014.

That will result in annual maintenance of:

(80 / 100) * 2000000 = $1,600,000

The product sales for 2013 were 2,000,000 (which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014.

That will result in annual maintenance of:

(75 / 100) * (10 / 100) * 2000000 = $150,000

Therefore, the total annual maintenance will be:

$1600000 + $150000 = $1,750,000

Hey there! :)

Answer:

m∠2 = 135°.

Step-by-step explanation:

∠1 and ∠2 are supplementary angles, meaning that they both sum up to 180°. Therefore:

m∠2 = 180 - m∠1

m∠2 = 180 - 45

m∠2 = 135°.

Answer:

34%

Step-by-step explanation:

According to the empirical rule, 68% of all of the data in a normal distribution falls within one standard deviation of the mean.

Applying to this particular case, 68% of the requests fall within (50 - 7) and (50+ 7). The percentage of requests from 43 to 50 is equal to the percentage of requests from 50 to 57.

Therefore, the percentage of light bulb replacement requests numbering between 50 and 57 is 68/2 =  34%.

Answer:

4.9

Step-by-step explanation:

3.43/0.7

34.3/7=49

3.43/0.7=4.9

The value of x is approximately 4.9 when 0.7 (70%) of x is equal to 3.43.

We are given that 0.7 (which is the same as 70%) of a certain value (x) is equal to 3.43.

We represent "0.7 of x" as 0.7x.

So, the equation becomes:

0.7x = 3.43

To find the value of x, we need to isolate it on one side of the equation. To do this, we can divide both sides of the equation by 0.7:

(0.7x) / 0.7  = 3.43 / 0.7

The 0.7 on the numerator and denominator cancel out, leaving us with just x:

x = 3.43 / 0.7

Now, we perform the division:

x = 4.9

The value of x is approximately 4.9.

Hence, when 0.7 (70%) of 4.9 is calculated, it will be approximately equal to 3.43.

To learn more on Division click:

https://brainly.com/question/21416852

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The rectangle is 13 units long by 6 units wide.

Area = Length x width

Area = 13 x 6  = 78 square units.

Answer:

The coordinates of point M is -0.375.

Step-by-step explanation:

Given that point A = -6 and point B = 3

Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;

Length from A to M = 5/(5 + 3) × Length of segment AB

Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;

Length from A to M = 5/8 × 9 = 45/8 = [tex]5\frac{5}{8}[/tex] = 5.625

Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8

The coordinates of point M = -0.375.

The reason why I'm not entirely sure is because of a potential typo. See below.

Let's go through each answer choice

------------

Choice A

Solve each inequality for x

x+1 < -1 becomes x < -2 after subtracting 1 from both sides

x+1 < 1 becomes x < 0 after subtracting 1 from both sides

We have {x < -2} intersected with {x < 0}. The overlap is x < -2. I recommend using a number line diagram to see how the overlap is working. Basically we're looking for numbers that are both less than -2 AND also less than 0. That simplifies to numbers less than -2 (as anything less than -2 is already smaller than 0).

A number like x = -10 is in the solution set of {x < -2}, but we just wanted 0 and only 0 to be in the solution set. So we can rule out choice A.

------------

Choice B

Solve each for x

x+1 = 1 becomes x = 0

x+1 > 1 becomes x > 0

This is a contradiction as we're talking about numbers that are 0 itself and larger than 0 at the same time. No such number exists. Effectively, these two sets cannot be combined to make anything meaningful. In other words, the solution set here is the empty set. For this reason, we can rule out choice B

------------

Choice C

Again we solve each for x

x+1 < 1 becomes x < 0

x+1 > 1 becomes x > 0

This is also the empty set because there are no numbers both smaller than 0 and larger than 0 at the same time.

If we had "or equal to" as part of the inequality sign, then [tex]x+1 \le 1[/tex] solves to [tex]x \le 0[/tex], while [tex]x+1 \ge 1[/tex] solves to [tex]x \ge 0[/tex]. Combining both [tex]x \le 0[/tex] and [tex]x \ge 0[/tex] will yield exactly one item, and that is [tex]x = 0[/tex]

It seems like your teacher meant for this to be the answer and that there is a typo. Of course, its best to ask him/her about this directly.

Answer:

9√2

Step-by-step explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.

Answer:

Option C is the correct option.

Solution,

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} \\ = \sqrt{2 \times 2 \times 2} + 3 \sqrt{2} + \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 2 \times 2 \sqrt{2} \\ = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} \\ =( 2 + 3 + 4 )\sqrt{2 } \\ = 9 \sqrt{2} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

300%

Step-by-step explanation:

Let the production of rice in 1995 be x.

From 1995 to 1996, the production increased by 50%

This implies that the production of rice is now:

(100 + 50) / 100 * x = 150/100 * x = 1.5x

It means the production is now 1.5 that of 1995.

We want the production in 1997 to be 6 times that in 1995, that is 6x, this implies that we have to find the percentage increase from 1996 to 1997:

(100 + P) / 100 * 1.5x = 6x

By cross-multiplying:

100 + P = 6x * 100 / 1.5x

100 + P = 400

P = 400 - 100

P = 300%

Therefore, the production must be increased by 300%.

Answer:

The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m

Answer:

x=-27

Step-by-step explanation:

To solve this equation, we need to find out what x is. Therefore, we must get x by itself.

x/3= -9

x is being divided by 3. We want to perform the inverse operation, which is multiplication. Multiply both sides of the equation by 3.

3*(x/3)=-9*3

x= -9*3

x=-27

Let’s check out solution. Plug -27 back in for x.

x/-3= 9

-27/-3=9

9=9

This checks out, so we know our solution, x= -27, is correct.

Answer:

$50 per ticket.

Step-by-step explanation:

Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.

The more you raise the price, the less tickets you can sell.

Hope this helps!

Answer:

21/20, or 1.05.

Step-by-step explanation:

In this case, the measure of angle R is the same as angle V.

To find the tangent of a triangle, you do opposite over adjacent.

So, the tangent of angle V is 21 / 20.

That means that tan(R) = 1.05.

Hope this helps!

Answer:

$35.2

Step-by-step explanation:

Marked price of hat = $40

Sale discount = 20%

discount in $ = 20% of $40 = 20/100 * 40 = $8

Thus, sale price = marked price - sale discount = $40 - $8 = $32

Now it is given that there is sales tax of 10%

This sales tax will be applied on sale price

thus,

sales tax in dollars = 10% of sale price of hat = 10/100 * $32 = $3.2

Total price paid for hat = Sale price+ sales tax = $32 +$3.2 = $35.2

Thus, Bob ended up paying $35.2 for the hat.

Answer:

45 + 35x

Step-by-step explanation:

To simplify

multiply the outside number by the inside

also, the negative and the negative multiply together to make a positive number.

Answer:

35x + 45

Step-by-step explanation:

-5(-9 - 7x)

Distribute or expand the brackets.

-5(-9) - 5 (-7x)

45 + 35x

Answer:

Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

Answer:

y=1/2x+1

Step-by-step explanation:

You can use the equation (y1-y2)/(x1-x2) to find the slope of the line with the given points. You put your y-values on top and x values on bottom, subtracting them to get 3-1/4-0. Then you simplify to get 2/4 or 1/2 as the slope. You then get y=1/2x+b. You can use one of the given points as x and y to solve for b. using (0,1) as x and y you get the equation 1=1/2(0)+b, after multiplying you get 1=0+b, or 1=b. Now that you have b you can make the equation, y=1/2x+1.

Answer:

Median=3, Mean=2.333

Step-by-step explanation:

Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.

The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.

Step-by-step explanation:

Answer:

The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.  

The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The easiest way of solving this is to divide 8% of the number into a % that is divisible by 12.

This is 4%.

So if 8% of the number is 4, then 4 percent is half of 4, that is 2.

Now we convert 4% into 12% thus making it 6

Hope this helps

A more complicated way of doing this, but most reliable is to work out what the number is .

For now let number be y.

8/100 x y = 4

8y/100 = 4

8y= 400

y = 50.

Now calculate 12% of 50.

This is

12/100 x 50 = 6

Hope this helps.

If a sample of 234 customers were taken from a population of 3620 customers, s^2 could refer to the variance of how many of the customers' ages?

A. 234

B. 3620

C. Both 234 and 3620

D. Neither 234 nor

3620

Answer: 234

Step-by-step explanation:

Sample distribution = 234 customers

Population distribution = 3620 customers

S^2 which in statistics refers to the same variance utilizes the sample data in estimating the variance value of a population.

The sample variance is given by:

s^2 = (x - mean) / n - 1

where ;

n = number of observation in sample

s^2 = sample variance

mean = statistical mean of sample data

n - 1, is used to account for the bias in our estimation or inference of a population statistics from sample data.