Evaluate the following when a=2 b=-3 and c=4:
5a -b2 +2c(a-b)
Select one:
a. 41
O b.-41
O c. 135
O d. 270

Answer:

(3, -2).

Step-by-step explanation:

d + e = 1

−d + e = −5    Adding the 2 equations:

0  + 2e = -4

e = -2.

Plug this into the first equation:

d + -2 = 1

d = 1 + 2

d = 3.

Check these results in the second equation:

-3 + -2 = -5    -  checks out.

Answer:

No

Step-by-step explanation:

The question is:

Are 3/5 and 6/25 equivalent fractions?

Multiply the first fraction by 5/5:

3/5 * 5/5 = 15/25

3/5 is equivalent to 15/25

15/25 is not equal to 6/25.

Answer: No

Answer:

Since the Crayola box contains more markers that should be the right choice.

Step-by-step explanation:

In order to calculate the number of markers each box contains, we need to divide the width of the box by the width of the markers for each box and compare their numbers. Since the lengths are given in mixed fractions, we will first convert them to pure fractions.

For Crayola:

[tex]\text{box width} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \text{ inches}[/tex]

[tex]n = \frac{\frac{11}{4}}{\frac{1}{4}} = 11[/tex]

For the Sharpie:

[tex]\text{box width} = 3 + \frac{3}{5} = \frac{15}{5} + \frac{3}{5} = \frac{18}{5} \text{ inches}[/tex]

[tex]n = \frac{\frac{18}{5}}{\frac{4}{10}} = \frac{18*10}{5*4} = \frac{180}{20} = 9[/tex]

Since the Crayola box contains more markers that should be the right choice.

Answer:

0.125 miles per gallon.

Step-by-step explanation:

After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.

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Extra

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IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.

Answer:

g(-2) = 0

Step-by-step explanation:

Given

g(x) = x^2 + 2x

we have to find value of g(-2)

to get that we

need to x = -2 in g(x)

g(x) = x^2 + 2x

g(-2) = (-2)^2 + 2*(-2) = 4 -4 = 0

Thus,  g(-2) = 0

Answer:

didnt understand the quedtion clearly

Answer:

-2√7(-5.291503)

Step-by-step explanation:

combine like terms

Answer:

[tex] - 2 \sqrt{7} [/tex]

Step-by-step explanation:

[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]

We subtract 3 and 5 and not the numbers under the radical.

The number under the radical can be changed if multiplied or divided.

3-5=-2 or

-5+3=-2

It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.

Hope this helps ;) ❤❤❤

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        [tex]X \times f[/tex]       [tex]( X - \bar X)^{2}[/tex]        [tex]f \times ( X - \bar X)^{2}[/tex]

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100                 5                      500         297.218     1486.088    

   Total                  91                          7531                              11580.68    

Firstly, the mean of the above data is given by;

            Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X \times f}{\sum f}[/tex]

                             =  [tex]\frac{7531}{91}[/tex]  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]

                                                     =  [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

Answer:

24 units.

Step-by-step explanation:

we can use  concept of Thales intercept theorem in this problem

according to this theorem, if  there are n lines parallel to each then and two transverse line drawn such that they intersect the three parallel line given the problem, then the parallel line divides the transverse line equal proportion.

For this problem

For the line having length 45, one of the length is 25 units,

then other length will be 45-25 = 20 unit

Now using Thales intercept theorem

30/? = 25/20

30/? = 5/4

? = 30*4/5 = 24

Thus, missing side length will be 24 units.

Step-by-step explanation:

6,5,8,2,8,6,5,8,8

To find the mean you MUST add all of the numbers together

then divide by the number of numbers

this will be your mean

Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same  since the absolute value is NEVER negative....

then you need to find the data value of the entire data set

then subtract the mean from that number!

Answer:

Hey there!

That wouldn't be possible.

130% of something is more than the total amount.

For example, if she had 100 stamps, and gave away 130%, she would have -30 stamps, which is unreasonable.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

40 + 8pi

Step-by-step explanation:

1/2 circle = 1/2 pi r-squared = 1/2x4x4x pi = 8pi

triangle = 1/2bh = 1/2x8x10 = 40

total area = 40 + 8pi

Answer:

A

Step-by-step explanation:

x= 1 2/3, y=4 2/3

y=4(1 2/3)-2.    y=4 2/3

y=1 2/3+3        y=4 2/3

and that make the answer going to be A. Also other answer didn't work so yet. Then, A should be the right answer!

Hope this help!

A. x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex]  and y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]

y = 4x - 2  ; y = x + 3

1. UNDERSTAND what you are given.

2. SUBSTITUTION METHOD means you replace one of the variables in terms of the other to start solving.

4x - 2 = x + 3 (write eq.)

3x - 2 = 3 (combine like terms: part 1)

3x = 5 (combine like terms: part 2)

x = [tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] (inverse operations: division)

3. PLUG IN VALUE FOR X to solve for y. Pick the simpler equation.

y = x + 3 (pick an original equation, either will work)

y  = [tex]\frac{5}{3}[/tex] + 3

y = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{3}[/tex]

y = [tex]\frac{14}{3}[/tex] or [tex]4\frac{2}{3}[/tex]

More explanations...

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

       3 ± 6√2

y = ----------------

             4

The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.

Solution of the quadratic equation (4y - 3)2 = 72 to be determine.

Quadratic equation are the equation having maximum power 2.

Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4

Thus, The required solution of quadratic equation is y = (3±6√2)/4.

Learn more about quadratic equation here:
https://brainly.com/question/2263981

#SPJ5

Answer:

The point will be on the line.

Step-by-step explanation:

Answer:

[tex]C. \[/tex]   [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Required

[tex]\frac{1}{2}x^3 + 3.4y[/tex]

Substitute 2 for x and 5 for y;

The expression becomes

[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]

Multiply 3.4 by 5

[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]

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

[tex]2^3 = 2 * 2 * 2 = 8[/tex]

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

[tex]=\ \frac{1}{2} * 8 + 17[/tex]

[tex]=\ \frac{8}{2} + 17[/tex]

[tex]=\ 4 + 17[/tex]

[tex]=\ 21[/tex]

Hence;

[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Answer:

[tex]x = 500[/tex]

Step-by-step explanation:

Given

[tex]log20x^3 - 2logx = 4[/tex]

Required

Solve for x

[tex]log20x^3 - 2logx = 4[/tex]

Using law of logarithm which says;

[tex]nlogx = logx^n[/tex]

The expression becomes

[tex]log20x^3 - logx^2 = 4[/tex]

Also, using laws of logarithm which says:

[tex]loga - logb = log\frac{a}{b}[/tex]

The expression becomes

[tex]log(\frac{20x^3}{x^2}) = 4[/tex]

[tex]log(20x) = 4[/tex]

Also, using laws of logarithm which says

[tex]If\ loga = b\\then\ a = 10^b[/tex]

The expression becomes

[tex]20x = 10^4[/tex]

[tex]20x = 10000[/tex]

Divide through by 20

[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]

[tex]x = \frac{10000}{20}[/tex]

[tex]x = 500[/tex]

Answer:

500

Step-by-step explanation:

Answer:

Yes, he will have enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].

From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

The lateral surface area of the cylinder = [tex]2\pi rh[/tex]

where, r = radius of the cylinder =  [tex]\frac{\text{Diameter}}{2}[/tex]  = [tex]\frac{1.1 }{2}[/tex] = 0.55 m

           h = height of the cylinder = 1.4 m

           [tex]\pi[/tex] = 3.142 (given)

So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]

                                                                                         = 4.84 [tex]\text{m}^{2}[/tex].

Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;

To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml

Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

Hey there! :)

Answer:

4.

Step-by-step explanation:

Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.

In this instance, a parallel line would contain a slope of m = 4.

Answer:

4

Step-by-step explanation:

Parallel lines have same slope.

Answer:

The students points will decrease 10 points in 4 days

Step-by-step explanation:

In 2 days he loses 5 points. So for 4 days all you have to do is double the amount of points because the amount of days have doubled

Answer:

The number of distinct triangles that can be drawn using the dots = 6

Step-by-step explanation:

The parameters given are;

Two rows of three evenly spaced dots

To form a triangle, two dots will be selected from 1 row while the third dot will be selected from the other row

The number of ways of selecting the dots are therefore;

₃C₂ × ₃C₁ = 3 × 3 = 9 triangles

The same procedure can be done from the top row to give another 9 triangles

Which gives the total number of triangles = 18 triangles

The number of distinct triangles are found as follows;

Given that triangles obtained from the top row are similar to those of the bottom row, we reduce the range from which the distinct triangles can be found to 19 - 9 = 9 triangles

Of the 9 triangles formed by one dot on top and two dots on the bottom, the two adjacent dots of the three dots which are on the left and on the right of the lower row of dots, form the same three triangles with the three dots on the top row

Therefore, since there are 3 sets of two dots forming 9 triangles, each pair of dots can form 3 triangles, and as mentioned, 2 pairs of dots of the 3 pairs form the same triangles making the distinct triangle = 9 - 3 = 6.

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.

Answer:

Karim

Step-by-step explanation:

1. Turn 2/5 into a percentage by multiplying the numerator and denominators of 2/5 with 20 so the new fraction's denominator can be 100.

2. Your new fraction should be 40/100 also known as 40%.

3. Compare who's probability is more likely.

4. The answer will be (40%) Karim's.

Answer:

Karim

Step-by-step explanation:

35% is equivalent to 0.35, whereas 2/5 is equivalent to 0.40.  Karim is correct; 0.40 represents a greater probability than does 0.35.

Answer: the slope is -3/2

Step-by-step explanation: The slope is negative, because the line is pointing downwards. A way I learned it that there's a skier and going up the line/mountain is "puff puff positive" and skiing down the hill is "nice and easy negative."

To figure out the exact number, take a point on the line. I chose (2,-1) I then moved down 3 ( going down makes it negative)  spaces, and right two space to get to the next point. This is known as rise over run.

Hope that helped!

Answer:

[tex]-1.5[/tex]

Step-by-step explanation:

So we are asked to find the slope of the line on the graph, so let's find the two points that are actually hitting a part of the graph instead of the middle.

Looking at it, I see (-2,5) and (0,2).

So now, how many squares do we have to move to get from (-2,5) to (0,2)?

Well, we have to move 3 squares down, and 2 squares to the right.

Follow the rise over run method :

[tex]\frac{rise}{run} = \frac{-3}{2}[/tex]

Divide -3 by 2 :

[tex]-1.5[/tex]

-1.5 is the slope of the line.

Answer:

(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.

:)

Answer:

The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.

Step-by-step explanation:

It is provided that a dance team has 9 dancers to perform different roles in each performance.

The number of arrangements of the 9 dancers in the different roles is:

Number of order of performance = 9!

                                                       = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

                                                       = 362880

If the team selects the same order as last performance, then the possible number of arrangements is, 1.

The probability that the team selects the same order as last performance is:

[tex]=\frac{1}{362880}[/tex]

Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

So of the 9 positions the 1st and 3rd are occupied.

There are a remaining 7 positions to be filled by 7 dancers.

That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:

[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]

Thus, the probability is 1/72.

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

[tex]\frac{20}{17}[/tex]

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

[tex]\frac{x}{85}[/tex]

Equate both fractions

[tex]\frac{20}{17} = \frac{x}{85}[/tex]

Multiply both sides by 85

[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]

[tex]85 * \frac{20}{17} = x[/tex]

[tex]\frac{1700}{17} = x[/tex]

[tex]100 = x[/tex]

[tex]x = 100[/tex]

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

Recall that the question says the same number of boys and girls were surveyed

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]

[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]

[tex]Outdoor = \frac{3}{5} * 185[/tex]

[tex]Outdoor = \frac{555}{5}[/tex]

[tex]Outdoor = 111[/tex]

Hence, the number of girls that chose outdoor is 111

Answer:

47.7 square units

Step-by-step explanation:

It is important to know that,

The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)

In the question above, we are given the following values:

Where : a = 8, b = 12, θ = C = 84°

Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.