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LuckyWell [14K]
3 years ago
14

The first three terms of a geometric sequence are as follows. −4 , 20 , −100 find the next two terms of this sequence. give exac

t values (not decimal approximations).
Mathematics
1 answer:
lbvjy [14]3 years ago
7 0
You multiply by -5 to find any next term. so next two are 500 then -2500
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At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Anna [14]

Answer:24 dogs

Step-by-step explanation:8x3

3 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 56<br> +<br> 32<br> =
valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

88

4 0
3 years ago
Solve the following equation x(x + 19) = -34
xxMikexx [17]
Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>
5 0
3 years ago
Read 2 more answers
Kenneth has 2,000$ to invest
Katarina [22]

The calculations for 2, 4, 8 year can be derived as follows,

For simple interest:

                   S.I = \frac{P*T*R}{100}

P= principle

T= Time

R= Rate

For 2 year;

            S.I = \frac{2000*2*5.6}{100}=  $224

           Amount = $2224

For 4 year;

            S.I = \frac{2000*4*5.6}{100}= $448

           Amount = $2448

For 8 year;

             S.I = \frac{2000*8*5.6}{100}= $896

           Amount = $2896

7 0
3 years ago
A tree is currently 8 feet tall and growing at a rate of 3 feet per year. How tall will the tree be in 12 years?
aleksandr82 [10.1K]

Answer:

44

Step-by-step explanation:

3 x 12 =36

36+8 =44

so the answer is 44 ft tall remember to include ft tall

4 0
3 years ago
Read 2 more answers
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