1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadya68 [22]
3 years ago
9

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Whi

ch compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?
A. 4.5 < c < 12
B. 4.5 ≤ c ≤ 12
C. c < 4.5 or c > 12
D. c ≤ 4.5 or c ≥ 12
Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

The answer is D.

Hope this helps!!! :)

Sveta_85 [38]3 years ago
5 0

Answer: d. 4.5\leq c\text{ or }x\leq12

Step-by-step explanation:

Let the number of ounces of clay that Elisa uses to make one vase of either size denotes by 'c'

Given : To make a small vase, Elisa uses no more than 4.5 ounces of clay.

i.e. 4.5\leq c

Also, To make a large vase, she uses at least 12 ounces of clay.

i.e. c\leq12

Then , the compound inequality represents the number of ounces of clay that Elisa uses to make one vase of either size will be :-

4.5\leq c\text{ or }c\leq12

You might be interested in
Bijan has agreed to run a half-marathon to raise money for charity. Each day before school, Bijan runs a 2.4-mile route around h
Slav-nsk [51]

Answer:

First one is (x+2.4)

Second one is 4(x+2.4)=14.8

Step-by-step explanation:

5 0
3 years ago
If A and B are two angles in standard position in Quadrant I, find cos( A +B ) for the given function values. sin A = 8/17 and c
horsena [70]

Answer:

Part 1) cos(A + B) = \frac{140}{221}

Part 2) cos(A - B) = \frac{153}{185}

Part 3) cos(A - B) = \frac{84}{85}

Part 4) cos(A + B) = -\frac{36}{85}

Part 5) cos(A - B) = \frac{63}{65}

Part 6) cos(A+ B) = -\frac{57}{185}

Step-by-step explanation:

<u><em>the complete answer in the attached document</em></u>

Part 1) we have

sin(A)=\frac{8}{17}

cos(B)=\frac{12}{13}

Determine cos (A+B)

we know that

cos(A + B) = cos(A) cos(B)-sin(A) sin(B)

step 1

Find the value of cos(A)

Remember that

cos^2(A)+sin^2(A)=1

substitute the given value

cos^2(A)+(\frac{8}{17})^2=1

cos^2(A)+\frac{64}{289}=1

cos^2(A)=1-\frac{64}{289}

cos^2(A)=\frac{225}{289}

cos(A)=\pm\frac{15}{17}

The angle A belong to the I quadrant, the cosine is positive

cos(A)=\frac{15}{17}

step 2

Find the value of sin(B)

Remember that

cos^2(B)+sin^2(B)=1

substitute the given value

sin^2(B)+(\frac{12}{13})^2=1

sin^2(B)+\frac{144}{169}=1

sin^2(B)=1-\frac{144}{169}

sin^2(B)=\frac{25}{169}

sin(B)=\pm\frac{25}{169}

The angle B belong to the I quadrant, the sine is positive

sin(B)=\frac{5}{13}

step 3

Find cos(A+B)

substitute in the formula

cos(A + B) = \frac{15}{17} \frac{12}{13}-\frac{8}{17}\frac{5}{13}

cos(A + B) = \frac{180}{221}-\frac{40}{221}

cos(A + B) = \frac{140}{221}

Part 2) we have

sin(A)=\frac{3}{5}

cos(B)=\frac{12}{37}

Determine cos (A-B)

we know that

cos(A - B) = cos(A) cos(B)+sin(A) sin(B)

step 1

Find the value of cos(A)

Remember that

cos^2(A)+sin^2(A)=1

substitute the given value

cos^2(A)+(\frac{3}{5})^2=1

cos^2(A)+\frac{9}{25}=1

cos^2(A)=1-\frac{9}{25}

cos^2(A)=\frac{16}{25}

cos(A)=\pm\frac{4}{5}

The angle A belong to the I quadrant, the cosine is positive

cos(A)=\frac{4}{5}

step 2

Find the value of sin(B)

Remember that

cos^2(B)+sin^2(B)=1

substitute the given value

sin^2(B)+(\frac{12}{37})^2=1

sin^2(B)+\frac{144}{1,369}=1

sin^2(B)=1-\frac{144}{1,369}

sin^2(B)=\frac{1,225}{1,369}

sin(B)=\pm\frac{35}{37}

The angle B belong to the I quadrant, the sine is positive

sin(B)=\frac{35}{37}

step 3

Find cos(A-B)

substitute in the formula

cos(A - B) = \frac{4}{5} \frac{12}{37}+\frac{3}{5} \frac{35}{37}

cos(A - B) = \frac{48}{185}+\frac{105}{185}

cos(A - B) = \frac{153}{185}

Part 3) we have

sin(A)=\frac{15}{17}

cos(B)=\frac{3}{5}

Determine cos (A-B)

we know that

cos(A - B) = cos(A) cos(B)+sin(A) sin(B)

step 1

Find the value of cos(A)

Remember that

cos^2(A)+sin^2(A)=1

substitute the given value

cos^2(A)+(\frac{15}{17})^2=1

cos^2(A)+\frac{225}{289}=1

cos^2(A)=1-\frac{225}{289}

cos^2(A)=\frac{64}{289}

cos(A)=\pm\frac{8}{17}

The angle A belong to the I quadrant, the cosine is positive

cos(A)=\frac{8}{17}

step 2

Find the value of sin(B)

Remember that

cos^2(B)+sin^2(B)=1

substitute the given value

sin^2(B)+(\frac{3}{5})^2=1

sin^2(B)+\frac{9}{25}=1

sin^2(B)=1-\frac{9}{25}

sin^2(B)=\frac{16}{25}

sin(B)=\pm\frac{4}{5}

The angle B belong to the I quadrant, the sine is positive

sin(B)=\frac{4}{5}

step 3

Find cos(A-B)

substitute in the formula

cos(A - B) = \frac{8}{17} \frac{3}{5}+\frac{15}{17} \frac{4}{5}

cos(A - B) = \frac{24}{85}+\frac{60}{85}

cos(A - B) = \frac{84}{85}

Part 4) we have

sin(A)=\frac{15}{17}        

cos(B)=\frac{3}{5}

Determine cos (A+B)

we know that    

cos(A + B) = cos(A) cos(B)-sin(A) sin(B)

step 1

Find the value of cos(A)

Remember that

cos^2(A)+sin^2(A)=1

substitute the given value

cos^2(A)+(\frac{15}{17})^2=1

cos^2(A)+\frac{225}{289}=1

cos^2(A)=1-\frac{225}{289}      

cos^2(A)=\frac{64}{289}

cos(A)=\pm\frac{8}{17}

The angle A belong to the I quadrant, the cosine is positive

cos(A)=\frac{8}{17}

step 2

Find the value of sin(B)

Remember that

cos^2(B)+sin^2(B)=1

substitute the given value

sin^2(B)+(\frac{3}{5})^2=1

sin^2(B)+\frac{9}{25}=1

sin^2(B)=1-\frac{9}{25}

sin^2(B)=\frac{16}{25}

sin(B)=\pm\frac{4}{5}

The angle B belong to the I quadrant, the sine is positive

sin(B)=\frac{4}{5}

step 3

Find cos(A+B)

substitute in the formula    

cos(A + B) = \frac{8}{17} \frac{3}{5}-\frac{15}{17} \frac{4}{5}

cos(A + B) = \frac{24}{85}-\frac{60}{85}

cos(A + B) = -\frac{36}{85}

Download odt
4 0
3 years ago
Lucy wants to decorate the curved surface of a trash can that has a radius of 4 in. and a height of 12 in.
max2010maxim [7]

Answer:

This is probably 95% wrong but 48?

8 0
2 years ago
Read 2 more answers
Jay factored the 4 term polynomial : x^3 - 9x +2x^2 - 18 and decided that the complete factorization was : ( x + 2 ) (x^2-9 ). B
labwork [276]

Answer:

x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)

Step-by-step explanation:

we are given that x^3-9x+2x^2-18

w are sked to step by step factorise the above polynomial

\left(x^3+2x^2\right)+\left(-9x-18\right)

-9\mathrm{\:from\:}-9x-18\mathrm{:\quad }-9\left(x+2\right)

-9x-9\cdot \:2

-9\left(x+2\right)

\mathrm{Factor\:out\:}x^2\mathrm{\:from\:}x^3+2x^2\mathrm{:\quad }x^2\left(x+2\right)

-9\left(x+2\right)+x^2\left(x+2\right)

\left(x+2\right)\left(x^2-9\right)

x^2-9:\quad \left(x+3\right)\left(x-3\right)

x^2-9

\mathrm{Rewrite\:}9\mathrm{\:as\:}3^2

=x^2-3^2

\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)

x^2-3^2=\left(x+3\right)\left(x-3\right)

Hence

x^3-9x+2x^2-18=\left(x+2\right)\left(x+3\right)\left(x-3\right)

a) The jay mistake was he did not factorise  x^3-9x+2x^2-18x^2-9 furtherb) the complete answer wil be  [tex]x^3-9x+2x^2-18\left(x+2\right)\left(x+3\right)\left(x-3\right)

8 0
3 years ago
Read 2 more answers
5[2p-4(p+5)]=25<br><br><br> Please solve for p and show steps<br><br> Thanks!
larisa [96]

We are given that:

5[2p-4(p+5)]=25

<span>
First thing to do is to divide everything by 5 so that:</span>

2p-4(p+5)=5

 

Then distribute -4:

2p – 4p – 20 = 5

 

Combine like terms:

-2p = 5 + 20

-2p = 25

<span>p = -12.5</span>

3 0
3 years ago
Other questions:
  • Write the slope intercept from of the equation of the line through the give point and with the given slope.
    11·1 answer
  • What are the independent and dependent variables?
    12·1 answer
  • Emily can write 1/6 pages for Ms.McCrimmon in 1/12 minutes. What was her unit rate to write full pages?
    5·1 answer
  • Suppose f(x) = x^2. Find the graph of f (x-5). <br> -Graph 1<br> -Graph 2<br> -Graph 3<br> -Graph 4
    7·1 answer
  • can someone just poat a lot of questions and make me brainliest i need it to get to the next "level" I'll make you brainliest ​
    8·1 answer
  • CAN SOMEONE PLS HELP I NEED THIS ASAP​
    14·1 answer
  • I will give you Brainiest if you are right.
    6·2 answers
  • Simplify this (2x)^{3}
    14·1 answer
  • This is really easy i just dont get it
    12·1 answer
  • Calculate the distance between the points K=(-5, 1) and C = (3, -2) in the coordinate plane.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!