what is the slope of the line that passes through points (-4,1) and (-1,-1)?
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Answer:

The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Got it right

Answer:

\(y = \frac{1}{3}x +2\)

Step-by-step explanation:

Given

Equation:

\(y = \frac{1}{3}x + 4\)

\(Point: (-3,1)\)

Required

Determine the equation of the point parallel to the given equation

First, we need to determine the slope of: \(y = \frac{1}{3}x + 4\) using

\(y = mx + b\)

Where m represents slope.

By comparison

\(m = \frac{1}{3}\)

The equation of the point is calculated as thus:

\(y - y_1 = m(x - x_1)\)

Where \((x_1,y_1) = (-3,1)\)

So, we have:

\(y - y_1 = m(x - x_1)\)

\(y - 1 = \frac{1}{3}(x - (-3))\)

\(y - 1 = \frac{1}{3}(x +3)\)

\(y - 1 = \frac{1}{3}x +1\)

Solve for y

\(y = \frac{1}{3}x +1 +1\)

\(y = \frac{1}{3}x +2\)

Answer:

88 square cm

Step-by-step explanation:

Surface area of down rectangular prism:

      l = 6cm ; w = 3 cm & h = 2 cm

   \(\sf \boxed{Total \ surface \ area \ of \ rectangular \ prism = 2*(lw + wh+hl)}\)

                                                                       = 2*(6*3 + 3*2 + 2*6)

                                                                        = 2* (18 + 6 + 12)

                                                                         = 2 * 36

                                                                          = 72 cm²

Lateral surface area of the top rectangular prism:

    l = 3 cm

    w = 1 cm

     h =  4 - 2 = 2 cm

         LSA = 2h( l + w)

                = 2*2 *( 3 + 1)

                 = 4 * 4

                 = 16 cm²

Surface area of the shape = 72 + 16

                                              = 88 cm²

Answer:

a = 88 cm2

Step-by-step explanation:

\(a=(4)(3)+2(4)(1)+2(5)(2)+2(3)(2)+(1)(3)+6(3)+5(3)=12+8+20+12+3+18+15\)

\(a=88cm^{2}\)  

Hope this helps

Answer:

\(3(3x+7)\)

Step-by-step explanation:

\(9x=3(3x), 21=3(7) \implies 9x+21=3(3x+7)\)

Answer:

-10

Step-by-step explanation:

p/2=-5

p=-10

Answer:

-10

Step-by-step explanation:

3/4p-1/4p+3=-2

1/2p+3=-2

1/2p=-5

-10

The total area they need to paint is:

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

Answer:

a=3 b=4

Step-by-step explanation:

a on the power of 3 is 8

3 on the power of 4 is 81

multiply them and you get 648

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Reason:

This graph passes the vertical line test, so it is a function.

The vertical line test is where we try to pass a single vertical line through more than one point on the curve. If such a thing is possible, then we say the curve fails the vertical line test and it's not a function.

Graph D for instance can have a vertical line through x = 1 and intersect the curve at (1,4) and (1,-4) simultaneously. The input x = 1 leads to multiple outputs (y = 4 and y = -4). Graph D fails the vertical line test for this very reason, and it is not a function. Graphs A and B are similar stories. Any vertical line itself is automatically not a function.

To have a function, any x input in the domain must lead to exactly one and only one y output in the range.

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Notice with graph C it is impossible to have a single vertical line intersect more than one point on the curve. So this is why graph C passes the vertical line test. Each input leads to exactly one output.

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:8

Step-by-step explanation:

3/4n +2=8

3/4n=8-2

n =( 6)/(3/4)

24/3=8

The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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Answer:

7/19

Step-by-step explanation:

7/19=square root of 11=22-3 19

Answer:

LCD(4/ 19 , 7/ 10 ) = LCM(19, 10) = 2×5×19 = 190 4/ 19 = 40/ 190 7/ 10 = 133/ 190

Step-by-step explanation:

Answer:

Step-by-step explanation:

133/190

Answer:

B. y=-0.5x + 1

Step-by-step explanation:

first look at the slope: slop = rise over run. for every 2 units right, the point goes 1 unit down. so the slope if -1/2 or -0.5

next look at the y-intercept. the y-intercept of this graph is 1

plug these into the equation y= mx + b to get y = -0.5x + 1

Answer:

A. y = -0.5x + 1

Step-by-step explanation:

Hello!

An equation of a line is written in slope-intercept form: \(y = mx + b\)

The y-intercept is found when x=0, or then the line crosses the y-axis.

Over here, we can see that the line crosses the y-axis at point (0,1), so the y-intercept is positive 1.

Slope is calculated by rise over run, or the ratio of how much the graph rises over how much the graph runs. Use points to determine how the graph changes. (For simple calculations, use integer points, such as (0,1) and (0,2)

Now that we have the slope and the y-intercept, we can plug those values to make our equation.

The correct answer is Option A. y = -0.5x + 1

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

Which of the following expressions represents five less than three times the number M

where are option ?

Answer:

3M-5

Step-by-step explanation:

You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.

Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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(7) The circle is usually denoted by the point at the center, so in this question the circle is labelled as P. The radius is the line that runs from the center to any point along the circumference (boundary) of the circle. Hence the radius here is either PR or PQ. While the diameter is the line that runs from one point along the circumference to another point along the circumference, and it MUST pass through the center, which is P. The circumference in this circle runs from point R to the other end of that long straight line (unfortunately the other end is not labelled in this diagram).

(8) The circle is labelled by the center H. The radius is labelled as HJ, HK and HL, while the diameter is labelled as KL.

(9) The circle is labelled by the center C. The radius is labelled as CD, CE and CF. The diameter is labelled as EF.

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

Answer:

9

Step-by-step explanation:

The opposite sides of a parallelogram are congruent.

Answer:

9

Step-by-step explanation:

Parallel sides are always equal. :)

Answer: Machine A would have produced 20 more parts.

Step-by-step explanation:   So first you start of by doing machine B 80*2=160 then do half of 80 for one more hour so 40.

Add these together.. 80+80+40=200 Parts every 5 hours. For B..

Machine A produces 132 parts in 3 hours first you have to find what it makes per hour. So do 132÷3=44 this is how many parts is made per hour. To find the answer in 5 hours multiply 44*5 which is equivalent to 220.

So to compare machines A makes 220 parts in 5 hours, and

Machine B makes only 200 parts in 5 hours.

Hope this helps!

By comparing, machines A makes 220 parts in 5 hours, and Machine B makes only 200 parts in 5 hours.

Machine A would have produced 20 more parts.

So first you start of by doing machine B 80*2=160 then do half of 80 for one more hour so 40.

Add these together.

80+80+40=200 Parts every 5 hours.

For B,

Machine A produces 132 parts in 3 hours first you have to find what it makes per hour.

So do 132÷3 = 44 this is how many parts is made per hour.

To find the answer in 5 hours multiply 44*5 which is equivalent to 220.

So to compare machines A makes 220 parts in 5 hours, and Machine B makes only 200 parts in 5 hours.

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Answer:

From the length (owo)

Step-by-step explanation:

All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

The teacher ordered the students in 24 ways.

We have given that the total number of students is 4.

4 students are assigned to give presentations.

We have to find the arrangement of the 4 students.

An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)

In a permutation, the order that we arrange the objects n is important.

4 students can be arranged by 4! ways.

\(4!=4*3*2*1\\ =12*2\\=24\)

Therefore option 3 is correct.

The teacher ordered the students in 24 ways.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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