Angle 1 and Angle 2 form a linear pair. If the measure of angle is 113°, find the measure of angle 2.​

Answer:

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Answer:

JL = 16x-2

Step-by-step explanation:

From the diagram, we can see that;

JL = JK + KL

Thus;

JL = 9x-5 + 7x + 3

JL = 9x + 7x -5 + 3

JL = 16x -2

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

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Answer:

what is question of this you asked

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

Answer

a^1=-2,5

a^n=a×a^n-1

Answer:

$32.80

Step-by-step explanation:

So you are trying to find out how much does the sale price cost?

Ok convert $41 into a decimal

$41 = $0.41

Then multiply 80% x $0.41

80 x $0.41 = 32.80

Answer:

$32.8

Step-by-step explanation:

Solve using a proportion

if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!

Answer:

15.30 feet

Step-by-step explanation:

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]sin(73^{o}) = \frac{x}{16}[/tex] where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x = 16{sin(73^{o})}[/tex]

Using the calculator, we can get 15.30

The height up to which does the ladder reach will be equal to 15.30 feet

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]\rm Sin 73=\dfrac{x}{16}[/tex]

where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x=16 Sin 73=15.30[/tex]

Using the calculator, we can get 15.30

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Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Answer:

39 minutes

Step-by-step explanation:

Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes

So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16

Then I subtracted 16 for 52 to get 36 minutes

So now the time for class periods was 2.36 minutes

So I took that numbers and divided it by the 4 class periods and got 39 minutes.

Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)

There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Duration of school = 2 hours and 52 minutes

Or

Duration of school = 172 hours

There are 4 class periods with 4 minutes between classes.

Duration of classes = 172 - 4(3)

Duration of classes = 172 - 12

Duration of classes = 160 minutes

Total minutes for each class period = 160/4 = 40 minutes

Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

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Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

she slept at 9:35 am

hope it helps :)

Answer:

10:15:6

Step-by-step explanation:

let 3A=2B=5C

then,A=1/3,B=1/2,=1/5

therefore:A:B:C=1/3,1/2,1/5

10:15:6/30=10:15:6

Answer:

D

Step-by-step explanation:

I like count by hand. If all else fails (like not being able to enter -12 into your calculator), counting by hand is a time honored method of getting answers.

That is never the answer in a math class. You should answer dividing -12 by 2

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Answer:

Initial mass = 25 grams

Step-by-step explanation:

[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]

x = 20 (mass of copper)

[tex]\frac{20}{20+5} = .8 = 80[/tex] percent

[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent  

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10

Answer:

3 to 12 reduced 1 to 4

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

Answer:

69

Step-by-step explanation:

1234567890

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

y = 4x

since x is the number of tickets, and each ticket costs 4, you just have to multiplicate the number of tickets by the value and you'll get the total, expressed as y.

hope it helps :)

Answer:

The coordinates of the points in the graph are;

(5, 2), (10, 3.5), (15, 5), 20, 5.5)

The data points are plotted using MS Excel

Given that the height of a person stops increasing beyond around 20 years of age, it is expected that the height will remain slightly the same at 5.5 feet beyond 20 as follows;

(25, 5.5), (30, 5.5), (35, 5.5), (40, 5.5)

Therefore, if the data were to extend beyond 20, the linearization will give a more horizontal line with a gentler slope

Please see attached graphs created with MS Excel

Step-by-step explanation:

Answer:

The second decrease is larger at 16 1/6% decrease

Step-by-step explanation:

175 to 150

Take the original price minus the new price divided by the original price

(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease

150 to 125

Take the original price minus the new price divided by the original price

( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease

The second decrease is larger at 16 1/6% decrease