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Question 1:
Which of the following expressions are equivalent to −3.5(2 − 3n) − 2.5n?


A. −7 − 8n
b. −7 − 13n
c. −7 − n(10.5 − 2.5)
d. . −7 + n(10.5 − 2.5)

Answer:

in simple terms find the common elements present in both sets

eg sets

A=[1,2,3,4,5]

B=[4,5,7]

AnB=[4,5]

Answer:

Could you please give more information? If and when you do, I'll gladly update my answer. I check my daily notifications!

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2(4x-11)+9=19

8x-22+9=19

8x-13=19

8x=32

x=4

Answer:

y=2x+12 or 18=2(3)+12

12=b

hope this helps =3

sorry if im wrong

ok check this out

its a simple equation from my analysis

given the equation of the vector line 3y-4=28

just an algebraic simplification might help

3y=28+4

3y=32

y=1Answer: y=10.6667

Step-by-step explanation:

y=10.6667

Answer:

2/6

Step-by-step explanation:

There are only 2 multiples of 3, and there are only 6 possible outcomes.

Answer:

The measure of AC is 4 and 46.

Step-by-step explanation:

Answer: 25 Feet.

Step-by-step explanation: 1,250 % 50.

Answer:

X=12 on edg

Step-by-step explanation:

Answer:

I can confirm, the answer is 12.

Answer:

slope is [tex]\frac{3}{5}[/tex] ; slope-intercept form is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex] ; point-slope form is 4 - 10 = [tex]\frac{3}{5}[/tex] (-2 - 8)

Step-by-step explanation:

first, we find the slope by using our points (8,10) and (-2,4)

to do so, you use the expression [tex]\frac{y1 - y2}{x1 - x2\\}[/tex] where (8,10) is point 1 and (-2,4) is point 2

this results in [tex]\frac{10-4}{8--2}[/tex]

10-4 is 6 and 8--2 is 10

which results in the slope of [tex]\frac{3}{5}[/tex]

now that we have the slope, we can solve for the y-intercept using the slope-intercept formula [y = mx +b]

we choose a point [im using (8,10)] and but the values in for x and y in the equation, which gives us 10 = 3/5 (8) + b , and solve for b

to solve for b, we start by dividing both sides by 8, resulting in 5/4 = 3/5 +b

then, subtract 3/5 from 5/4, resulting in 13/20 = b

To check the work, we use slope-intercept formula again [yeyyy]

y = 3/5x + 13/20 ; 4 = 3/5 (-2) + 13/20

i used my calculator to check, it's correct

SO: the slope-intercept form of the equation is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex]

now we get to do the point-slope formula [yeyyyyyyyyyyy!!!]

point-slope formula is y - y1 = m (x - x1)

the slope [m] is [tex]\frac{3}{5}[/tex]

and we use any given point [im using (8,10) again, but any point should technically be correct] for y1 and x1

inputting our values, we get y - 10 = 3/5 (x - 8)

now, you use any other point for x and y to check the work

4 - 10 = 3/5 (-2 - 8)

-2 - 8 is -10, and 3/5 times -10 is -6, which is equal to 4 - 10

Answer:

3/5

Step-by-step explanation:

did the test

Answer:

A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Step-by-step explanation:

First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Answer:  x=3

Step-by-step explanation:

Answer:

15*6 = 90 minutes (1 hour and 30 minutes)

Step-by-step explanation:

I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality.  Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.

The sides AB and AC opposite the congruent base angles of a triangle are congruent.

An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For the given situation,

Triangle ABC be an isosceles triangle.

∠ABC ≅ ∠BCA.

The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.

The perpendicular bisector AD divides the line BC as BD and DC.

Then, BD = DC.

We get triangles ΔADB and ΔADC,

AD = AD [∵ common side]

⇒ [tex]\angle ADB = \angle ADC=90[/tex]

Thus by ASA theorem,

The two triangles ΔADB and ΔADC are similar.

Then by CPCT theorem,

Side AB ≅ AC.

Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.

Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.

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Answer:

439.001  439.09  439.1  439.6

Step-by-step explanation:

Answer:

its rotation

because it just rotate one time

The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and three angles.

Given that;

The triangular prism figure after fold is given.

Now, The triangular prism figure is contain two triangles and three squares.

So, In option A;

There are two triangles and three squares.

And, In option D;

There are two triangles and three squares.

Thus, The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

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Answer:

7t-4=10t+14

7t-10t=14+4

-3t=18

-3t/3=18/-3

t=-6

Answer:

Pretty sure it's t = -6

Step-by-step explanation:

7t - 4 = 10t + 14

7t -10t = 14 + 4

-3t = 18

t = -6

By answering the above question, we may state that  angle with the smallest measure, the smallest-measured angle

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

angle with the smallest measure

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Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

The average revenue from gasoline tax in 2010 is $265,720.

Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day

So, here the average revenue should be

= 0.26 of 1,022,000

= $265,720

hence, The average revenue from gasoline tax in 2010 is $265,720.

This is an incomplete question. Please find the complete details below.

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

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Answer:-5 F

Step-by-step explanation -6 + -5 = -11

Answer:

Step-by-step explanation:

Answer:

It's 142

(✿◠‿◠)

If you have a 5 or more on the tenths place, then you make one go up to the next number.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.

To find out how much milk they use in 1 day, simply divide 3 gallons by 7.

1 day = 3/7 gallons

Then to find how much they use in 4 days, multiply the amount in 1 day by 4.

4 days = 3/7 x 4 = ? Gallons

Answer:

1. 71428571429

Step-by-step explanation:

You divide 3 by 7 then multiply the answer by 4 is what I did not saying it’s completely 100% right though

Answer:

(-1,5)

Step-by-step explanation:

The coordinates of point C are (7/2, 4).

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

C is a point between AB.

Point C is 3/4 of the way from point A (-4,1) to point B (6,5).

This means,

AC : CB = 3 : 1 = m : n

Now,

m = 3

n = 1

(-4, 1) = (a, b)

(6, 5) = (c, d)

C = (x, y)

x = (mc + na)/(m + n)

x = (3 x 6 - 4)/4

x = (18 - 4)/4 = 14/4 = 7/2

y = (md + nb)/(m + n)

y = (15 + 1)/4 = 16/4 = 4

Now,

The coordinates of C is (7/2, 4).

Thus,

C is at the point (7/2, 4).

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Answer:

a

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  [tex]\mu  =  3 \  minutes =  180 \  seconds [/tex]

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  [tex]\alpha =  0.05[/tex]

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x  =  \frac{156 + 136 + \cdots  + 181}{25}[/tex]

=>      [tex]\= x  = 173.2 [/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }[/tex]

=>    [tex]\sigma  =  24.261[/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }[/tex]

=>   [tex] z = -1.40[/tex]    

Generally p-value is mathematically represented as

  [tex]p-value  =  P(Z <  z)[/tex]

=>  [tex]p-value  =  P(Z < -1.40)[/tex]

From the z-table  

   [tex]P(Z < -1.40) =  0.080757[/tex]

=>   [tex]p-value  = 0.080757 [/tex]

From the obtained value we that  [tex]p-value >  \alpha[/tex]

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Answer: E B D

Step-by-step explanation: I did a test

Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:

For the square to carry itself onto itself, it must either be rotated or reflected.

For reflection:

For rotations:

Hence, the correct options are: B, D and E

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