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Misha Larkins [42]
3 years ago
6

My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what

is my number?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0
List out all of the factors to 32.
1, 2, 4, 8, 16, 32

From the list, we either have 4 or 16 as our number.
Prime factorisation for 4 is 2 x 2 and prime factorisation for 16 is 2 x 2 x 2 x 2
Thus, that doesn't help our case.

Looking at our requirement: the sum of its digits is odd.
Well, 4 can be rewritten as 0 4 and its sum is even.
The sum for 1 + 6 is obviously odd, which means that 16 is the number.
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The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?
WARRIOR [948]

Answer:

18

Step-by-step explanation:

When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.

2*9 = 18

3 0
2 years ago
The first number plus the second number equals 83, the first number
timama [110]

Answer:

I hope this helps

Step-by-step explanation:

So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers.  Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.

We know x + y + z = 83.

Since the third number is twice the second, we say that z = 2y.

Since the second number is seven less than the first, we say that y = x - 7.  We can rewrite this as x = y + 7.

Now all three can be written in terms of y.

x + y + z = 83

(y + 7) + y + 2y = 83

4y + 7 = 83

4y = 76

y = 19

The second number is 19.  The first is 19 + 7 or 26, and the third is 2 times 19 or 38.

A check reveals that 26 + 19 + 38 = 83.

5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
aev [14]

Answer: (B) -625

<u>Step-by-step explanation:</u>

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is \dfrac{-100}{-500}=\dfrac{1}{5}

Input those values into the Sum formula:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}

4 0
4 years ago
A quarter falls off a building that is 144
bagirrra123 [75]

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

h(t)=-16t^2+\text{Initial height}

The time taken to reach the ground is needed. Here the ground is taken as reference so h(t)=0

0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}

So, time taken by the quarter to reach the ground is 3 seconds.

8 0
3 years ago
Which graph represents a quadratic function that has no real zeros?
xxTIMURxx [149]

Answer:

2nd graph (in the attached pics)

Step-by-step explanation:

Graphically, the <em>x-intercepts of the graph of a quadratic function are its zeroes. </em>

There can be

  • no zeroes (where graph doesn't cut the x-axis at all),
  • 1 zero (where graph touches the x-axis at one point only), and
  • 2 zeros (where the graph cuts the x-axis at 2 points)

Looking at the figures, the 2nd graph has no real zeroes, <em>because the graph doesn't cut the x-axis at all!</em>

<em />

So, the answer is the second graph.

5 0
3 years ago
Read 2 more answers
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