On a snow day, Kayden created two snowmen in his backyard. Snowman A was built
to a height of 59 inches and Snowman B was built to a height of 34 inches. The next
day, the temperature increased and both snowmen began to melt. At sunrise,
Snowman A's height decrease by 7 inches per hour and Snowman B's height
decreased by 2 inches per hour. Let A represent the height of Snowman At hours
after sunrise and let B represent the height of Snowman B t hours after sunrise.
Write an equation for each situation, in terms of t, and determine the interval of
time, t, when Snowman A is taller than Snowman B.
A=
BE
Snowman A is taller than Snowman B when t
Not

Answer:

y=-2x^2+10x-12

Step-by-step explanation:

graph is shown in image below

Answer:

Slope of a line perpendicular to a line  = [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

(x₁ , y₁ ) = (3 , -5)      & (x₂, y₂) = (1 , 7)

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

        [tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]

Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]

                                                    [tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]

Answer:

P = 1.214

Step-by-step explanation:

Draw a normal probability curve.

Find the z score which comes out to be 0.18 (0.181578947)

look for the probability in the table.

look across 0.1 and under 8.

Get the probability and add 0.5 to it

so rhats:

0.714 + 0.5 = 1.214

Answer: The actual pool is 44 m long.

Step-by-step explanation:

Given : The scale used for drawing :

9 mm: 4 m

i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.

If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]

hence, the actual pool is 44 m long.

Answer:

translation -(-7, -4)

Answer: I think it is D x=8(k+c)

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Isolate the variable by diving each side by factors that don't contain the variable, which is 8.

Answer:

31.6 or 31 6/10 or 31 3/5

39.5/1.25 = 31.6

Jack gets 31.6 miles per gallon.

.25 = 1/4

.5 = 1/2

Answer:

the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:

Answer:

The number of cars washed per person is not the same for each number of workers, so the relationship is not proportional

Step-by-step explanation:

I-ready

9514 1404 393

Answer:

 4.  6.7 inches, 1.1 inches, and 7.9 inches

Step-by-step explanation:

In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.

1. 2.3 +3.2 > 3.4 . . . will form a triangle

2. 1.2 +4.8 > 5 . . . will form a triangle

3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle

4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle

_____

The symbol ≯ is "not greater than". The typeset version looks like ...

  [tex]1.1+6.7 \ngtr 7.9[/tex]

Answer:

d

Step-by-step explanation:

2 X 4 =8

8 X 1 = 8

Answer:

The answer is 8 The GCF of 24 and 32 is 8

Step-by-step explanation:

Hope this helps

Answer:

the answer is 8

Step-by-step explanation:

Answer:

(a) 32         (b) 192

Step-by-step explanation:

Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but  the height would stay the same.

Hope this helps :D

Answer:

The first option

Step-by-step explanation:

Finished assignment

Answer:

the first option

Step-by-step explanation:

Answer:

The projected average monthly rent plus maintenance fee is $4,100

Step-by-step explanation:

In the question, we are told that the percentage lease terms state that rent is 2% of sales over $100,000

Since sales is $190,000 projected,

the percentage will be 2% of 190,000

= 2/100 * 190,000 = $3,800

we now proceed to add the monthly maintenance fee

That will be $3,800 + $300 = $4,100

Answer: 5,100

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10)   sqrt(10) is irrational.

Answer:

2,7 3,6

Step-by-step explanation:

Answer:

g=9

Step-by-step explanation:

-1/3x9=-3+5=2

Answer:

-3x-19y+8

Step-by-step explanation:

Answer:

-3x-19y+8

Step-by-step explanation:

thanks for 50 points.

Answer:

Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.

I just took the test and got it right :)

Step-by-step explanation:

Answer:

A- 200+25x

B- 200+25×4=300

Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

30 divided by 10 to get 10 percent which is 3, multiply that by 2 to get 20 percent which is 6, 30 (100 percent) minus 6 (20 percent) equals 24

Answer:

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Step-by-step explanation:

The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:

[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)

Where:

[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.

[tex]V_{water}[/tex] - Volume of water, measured in gallons.

A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:

[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)

Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.

If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:

[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]

[tex]3.5 = 0.4\cdot (5+V')[/tex]

[tex]3.5 = 2+0.4\cdot V'[/tex]

[tex]0.4\cdot V' = 1.5[/tex]

[tex]V' = 3.75\,gal[/tex]

The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.

Answer:

3.75 gallons of water should be added

Step-by-step explanation:

C) reflection over the x-axis

Answer:

−42x−40

Step-by-step explanation:

Answer:

Step-by-step explanation:

3). m∠1 = 180° - 98° = 82°

m∠7 = 180° - ( 98° + 23° ) = 59°

m∠6 = 180° - ( 70° + 59° ) = 51°

m∠9 = m∠6 = 51°

m∠10 = 180° - 51° = 129°

m∠4 = 180° - ( 70° + 51° ) = 59°

m∠54 = 180° - (23° + 59° ) = 98°

4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°

m∠2 = m∠5 = 90°

m∠6 = m∠3 = m∠8 = m∠10 = 54°

m∠7 = m∠9 = 90° + 36° = 126°

m∠12 = m∠14 = 180° - 36° = 144°

The measure of an an angle can be found from other known angles and the angular relationships present

The measures of the angles are;

3. a. m∠1 = 82°,    [tex]{}[/tex]     b. m∠4 = 59°,        c. m∠5 = 98°,      d. m∠6 = 51°,            e. m∠7 = 59°,        [tex]{}[/tex]      f. m∠9 = 51°

4. a. m∠1 = 36°,    [tex]{}[/tex]   b. m∠2 = 90°,       c. m∠4 = 36°,          d. m∠5 = 90°,                      e. m∠6 = 54°,       [tex]{}[/tex]    f. m∠7 = 126°,       g. m∠8 = 54°,         h. m∠9 = 126°,          i. m∠10 = 54°,         [tex]{}[/tex]  j. m∠11 = 36°,         k. m∠12 = 144°,      l. m∠13 = 36°,         m. m∠14 = 144°

The reason the above values are correct are as follows;

The known parameters are;

m∠2 = 98°

m∠3 = 23°

m∠8 = 70°

a. m∠1 and m∠2 are linear pair angles

Therefore;

m∠1 + m∠2 = 180°

m∠1  + 98° = 180°

m∠1 = 180° - 98° = 82°

m∠1 = 82°

b. m∠4 = m∠7 = 180° - m∠2 - m∠3

∴ m∠4 = 180° - 98° - 23° = 59°

m∠4 = 59°

c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)

∴ m∠5 = 180° - 23° - 59° = 98°

m∠5 = 98°

Also m∠2 = m∠5 (corresponding angles)

d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)

∴ m∠6 = 180° - 59° - 70° = 51°

m∠6 = 51°

e. m∠7 = m∠4 = 59° (alternate interior angles theorem)

f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)

∴ m∠9 = 180° - 59° - 70° = 51°

m∠9 = 51°

Also, m∠9 = m∠6 = 51° (corresponding angles)

4. m∠3 = 54° (given)

a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)

m∠1 = 36°

b. m∠2 = 90° (given, geometry symbol)

c. m∠4 = m∠1 = 36° (vertical angles)

m∠4 = 36°

d. m∠5 = m∠2 = 90° (vertical angles)

m∠5 = 90°

e. m∠6 = m∠3 = 54° (vertical angles)

m∠6 = 54°

f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)

m∠7 = 36° + 90° = 126°

m∠7 = 126°

g. m∠8 = 180° - m∠7 (linear pair)

m∠8 = 180° - 126° = 54°

m∠8 = 54°

h. m∠9 = m∠7 = 126° (vertical angles)

m∠9 = 126°

i. m∠10 = m∠8 = 54° (vertical angles)

m∠10 = 54°

j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)

m∠11 = 180° - 90° - 54° = 36°

m∠11 = 36°

k. m∠12 = 180° - m∠11 (linear pair)

m∠12 = 180° - 36° = 144°

m∠12 = 144°

l. m∠13 = m∠11 = 36° (vertical angles)

m∠13 = 36°

m. m∠14 = m∠12 = 144° (vertical angles)

m∠14 = 144°

Learn more about angles formed between two parallel lines having a common transversal here:

https://brainly.com/question/11803850

See attachment for math work and answer.