2y
y2 + 2y + 1
+
y2 + 7y + 6

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

Answer:

C.) The standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

Step-by-step explanation:

Data Set 1

[tex]\mu =\dfrac{1+2+3+3+6}{5}= \dfrac{15}{5}=3[/tex]

[tex]S$tandard Deviation, \sigma =\sqrt{\dfrac{\sum (x-\mu)^2}{N}}[/tex]

[tex]\sigma =\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(6-3)^2}{5}}\\=\sqrt{\dfrac{4+1+0+0+9}{5}}\\=\sqrt{\dfrac{14}{5}}\\\\=1.67[/tex]

Data Set 2

[tex]\mu =\dfrac{2+2+3+3+4+4}{6}= \dfrac{18}{6}=3[/tex]

[tex]\sigma =\sqrt{\dfrac{(2-3)^2+(2-3)^2+(3-3)^2+(3-3)^2+(4-3)^2+(4-3)^2}{6}}\\=\sqrt{\dfrac{1+1+0+0+1+1}{6}}\\=\sqrt{\dfrac{4}{5}}\\\\=0.89[/tex]

0.89 X 2=1.78 which is close to 1.67

Therefore, the standard deviation of Data Set 1 is about twice the standard deviation of Data Set 2.

To solve the given equation, we will use the addition property of equality.

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.

For numbers a, b, and c, if a = b then a + c = b + c.

Given is an equation, x - 5 = -14,

We are asked to identify, that, which property of equality was used to solve this equation,

Solving the equation,

x - 5 = -14

Add 5 to both sides,

x-5+5 = -14+5

x = -9

Since, we used addition, therefore, this property is addition property of equality.

Hence, to solve the given equation, we will use the addition property of equality.

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Answer:

-5n + 27

Step-by-step explanation:

The difference is -5.

The first term is 22.

Use the formula for nth term.

an = dn + (a - d)

a is the first term.

d is the difference.

an = - 5n + (22 - ( - 5 ))

an = -5n + (22 + 5)

an = -5n + 27

Answer:

27 - 5n.

Step-by-step explanation:

This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).

nth term an = a1 + d(n - 1)

= 22 - 5(n - 1)

Which simplifies to  27 - 5n

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

9h+40

Step-by-step explanation:

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.

So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.

(ps. this is my first answer, I apologise if Its not very detailed.)

The expressions best represent Jill's income for the week is 9h+40. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.

Her original 40$ and her 9$ from every hour can be written together as below:-

40 + 9h or 9h + 40.

Therefore,  the expressions best represent Jill's income for the week is 9h+40. The correct option is C.

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Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Answer:

Step-by-step explanation:

We are going to assume that the balance compounds every year

applying the compound interest formula we have

[tex]A= P(1+r)^t[/tex]

where

A, final amount

P, Principal= $100

r, Rate= 3%= 0.03

T, time= 2years

substituting our values into the formula we have

[tex]A= 100(1+0.03)^2\\A=100(1.03)^2\\A=100*1.0609\\A=106.09\\[/tex]

The final amount/ her balance after two years is $106.09

Answer:

36 pounds

Step-by-step explanation:

Its a "large" package. So it's going to be heavy

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

Answer:

B) y= -1/4x + 11/16

Step-by-step explanation:

I just took the quiz on edge

Answer:

sin NOM = 3/5

Step-by-step explanation:

sin NOM = opposite/ hypotenuse = MN/OM

OM² = 4² + 3² = 25

OM = √25 = 5

sin NOM = MN/OM = 3/5

Answer:

$52.5

Step-by-step explanation:

Costing Price = $50

Tax = 5% of $50

=> [tex]\frac{5}{100} * 50[/tex]

=> 0.5*5

=> $2.5 Tax

Total Cost = CP + Tax

=> $50 + $2.5

=> $52.5

Answer:

52.50

Step-by-step explanation:

i just did the test

Answer:

see explanation

Step-by-step explanation:

Because the quantities are in proportion

When x doubles then y doubles

Answer:

The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:

x = 38 + 79 which simplifies to x = 117°.

Answer:

117 degrees

Step-by-step explanation:

38* is one inside angle

to find the other you got to find the rest if you do 180-101 you get 79.

all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117

OK sorry i had it wrong apparently i cant read

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

Answer:

2

Step-by-step explanation:

First calculate the mean. This is done by adding the numbers and dividing by the count:

sum = 6+0+4+3+2 = 15

count = 5

mean = 15/5 = 3

Now create a table with the "squared deviation to the mean":

6: (6 - 3)² = 9

0: (0 - 3)² = 9

4: (4 - 3)² = 1

3: (3 - 3)² = 0

2: (2 - 3)² = 1

And sum these:

9+9+1+0+1 = 20

Divide by the count to find σ²:

σ² = 20/5 = 4

Hence σ = √4 = 2

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

Answer:

There are 6 * 6 = 36 total outcomes from throwing 2 dice. Of those, there is only 1 that will give you a sum less than 3 (1 + 1) so the answer is 1 / 36.

[tex]\pi \times d[/tex]

22/7×21.6

=67.88

=70

Answer:

50%

Step-by-step explanation:

Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.

Answer:

Explanation:

I hope you understand this

Answer:

529 plan

Step-by-step explanation:

The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses

Answer:

529 plan

Step-by-step explanation:

A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

     [tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

Answer:

100

Step-by-step explanation:

Let's convert both numbers into fraction form.

let x=8.33 bar

x=8.33 bar

10x=83.33 bar

9x=75

x=25/3

[tex]\sqrt{144}=12[/tex]

[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]

The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.

Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:

= 25/3 × √144

= 25/3 × 12/1

= 25 × 4

= 100

Therefore, the value is 100.

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