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Answer:

  1. B, E

  2. A, E

  16. B'(1, 5)

Step-by-step explanation:

Lines p and r are parallel, as are lines a and b. Either of the lines in one parallel pair is perpendicular to the lines in the other parallel pair. Line q has no necessary relation to anything, so can be ignored. (No answer containing q can be correct.)

__

1.  p ⊥ b

  r ⊥ a

__

2.  r║p

  a║b

__

16. Point B(3, 2) translated (right, up) = (-2, 3) will be ...

  B' = B + (-2, 3) = (3, 2) +(-2, 3) = (3 -2, 2 +3)

  B' = (1, 5)

Note: (x, y) coordinates are (right, up). So, in translation problems it is important to pay attention. Often, the up/down translation is listed before the left/right translation. If you're not paying attention, you may inadvertently reverse the numbers that need to be added to the coordinates to do the translation.

Answer:

3x-4y=-40

Explanation

y-4=3/4(x+8)

distribute the 3/4

y-4= 3/4x + 6

add 4

y= 3/4x+10

then change to standard form

3x-4y=-40

Answer:

The slope is -3.

Step-by-step explanation:

The slope is equal to the change in y over the change in x.

First, we take the two y values, -2 and -8, and subtract the SECOND from the FIRST: -2 - (-8) = -2 + 8 = 6 (= change in y)

Second, we take the two x values, 5 and 7, and subtract the SECOND from the FIRST: 5 - 7 = -2 (= change in x)

Finally, we make a fraction, the change in y over the change in x:

6/-2 = -3

The slope is -3.

Population growth rate of the bacterial culture can be expressed as a function of time as N = [tex]e^{kt + C}[/tex]

Step-by-step explanation:

If we assume the number of bacteria at any time (t) is (N). Then, the population of bacterial culture at that time is given by

N = N (t)

It is also given that the rate at which the bacterial culture will grow is proportional to its size. So, the growth rate is given by

dN/dt ∝ N

Removing the sign of proportionality, we get a constant

dN/dt = KN

We get

∫1/N dt = ∫K dt

After integration

ln N = Kt + C

N = [tex]e^{kt + C}[/tex]

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The question is incomplete. Therefore, the complete question is

A bacteria culture starts with 520 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3120 bacteria. ?

1) Express the population after t hours as a function of t. population:

Answer:

Step-by-step explanation:

C

Answer:

Yes, because two pairs of corresponding angles in the triangle are congruent. So the answer is A.

Step-by-step explanation:

Corresponding angles is an angle that is in the exact same spot as the other angle and they are congruent to each other which means that they have the same measure/number.

As the picture shows both triangles have all of their angles as the same measures.

Answer:

it’s A

Step-by-step explanation:

It would be 17.50=5.8x+2

Cost:$2:50 per yard

Answer:

It equals 2.4019 quarts.

Step-by-step explanation:

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- gibazy

Answer:

12 pieces

Step-by-step explanation:

There are four 25 cents in a dollar, as a dollar is 100 cents and 100 divided by 25 is four. So as 3 pieces cost 25 cents, multiply 3 by 4 which is 12.

12 pieces of gum would cause $1.00

Answer:

You can get 12 pieces of gum.

Step-by-step explanation:

3 pieces is 25, right? so now to make a dollar you can have four of 25 cents, so multiply, 3x4. You get 12. so you can buy 12 pieces of gum.

Answer: the first one is 14 and the second one is 5

Step-by-step explanation:

Answer:

D. m<RST = 2(m<TSU)

Step-by-step explanation:

Given that m<RST = 76°, m<RSU = 48°, and m<TSU = 38°, this implies that:

SU is an angle bisector of angle RST. Thus,

m<RST is twice the measure of <RSU or <TSU.

Therefore, the only option that is correct is:

D. m<RST = 2(m<TSU)

The value of the polynomial function at p(-5) is 40.

A polynomial is an expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables and is made up of indeterminates (also known as coefficients) and these operations.

The given polynomial function is:

p(x) = x³ + 7x² - 20x -110

or, p(-5) = (-5)³ + 7(-5)² - 20(-5) -110

or,  p(-5) = -125 + 175 + 100 - 110

or,  p(-5) = 40

So the value of the polynomial function is 40.

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Answer:

The answer should be -19/13 per hour. I think, I'm not completely sure.

Step-by-step explanation:

Find the difference of 9 1/4 and 4 1/2

divide by 3 1/4

simplify

4 1/2 - 9 1/4 = -19/4

-19/4 divided by 13/4 = -76/52

-76/52 = -38/26 = -19/13

So the answer should be -19/13 per hour.

The requried rate of change in the tide level over this period of time is 19/13h.

Rate of change is defined as the change in value with rest to the time is called rate of change.

To find the rate of change, we need to divide the change in the tide level by the time elapsed:

Change in tide level = 37/4 - 9/2 = 37 - 18/4 = 19/4

Time elapsed = 13/4 h

Rate of change = Change in tide level ÷ Time elapsed
= 19/4 ÷ 13/4
= 19/13 h

So, the rate of change in the tide level over this period of time is 19/13h.

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Answer: slope = -3/5

Answer:

-3/5

Step-by-step explanation:

18-6 = 12

-16-4 = -20

12 / -20

Simplify down to -3 / 5

Answer:

35/48

Step-by-step explanation:

35/48

Answer:

35/48

Step-by-step explanation:

It is already in it's simplest form.

Answer:

C

Step-by-step explanation:

Answer: 80 degrees

Step-by-step explanation:

Answer:

80 degrees!

Step-by-step explanation:

There's this weird phenomenon with parallel lines, that if you trace a line over it, you would get the same angle on the opposite side of the line.

Answer:

2 2/9

Step-by-step explanation:

3 3/5 = 18/5

8/1x5/18=40/18=2 4/18=2 2/9

Answer:

23

Step-by-step explanation:

just divide.....fjf

Answer:

Rider A=20km/hour

Rider B= 24km/hour

Step-by-step explanation:

Easy find slope rise over run

Rider A=20km/hour

Rider B= 24km/hour

to find rider b slope do 72/3 =24

Answer:

slope= -2/5

y intercept is (0,-4)

Step-by-step explanation:

Answer:

The slope is $8 per hour

Step-by-step explanation:

Here, we want to get the slope of the relation

Mathematically, that will be;

m = y2-y1/x2-x1

Where ; (no of hours, money) represents each point

Thus, we have it that

m = (42-10)/(5-1) = 32/4 = $8/ hour

Answer: V=500 cm³

Step-by-step explanation:

D=10 cm

[tex]\displaystyle\\r=\frac{D}{2} \\\\r=\frac{10}{2} \\\\r=5\ cm\\\\ V=\frac{4}{3} \pi r^3\\\\V=\frac{4*3*5^3}{3} \\\\V=4*5^3\\\\V=4*5*5*5\\\\V=500\ cm^3[/tex]

Answer:

[tex]Z=x+y[/tex]

[tex]x+y<20[/tex]

Step-by-step explanation:

Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.

Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.

[tex]40x+17y\geq 500[/tex]

The expression of total amount of fuel used would be [tex]Z=x+y[/tex].

Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is

[tex]x+y<20[/tex]

Answer:

there is no picture??????????

The slope of the line shown is 1

The formula for calculating the slope of a line is expressed according to the formula

Slope = Rise/Run

Slope = y₂-y₁/x₂-x₁

Using the coordinate point (1,-2) and (3, 0)

Slope = 0+2/3-1
Slope = 2/2

Slope = 1

Hence the slope of the line shown is 1

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