144 is the _ power of 12

Answers

Answer 1
Answer:

Answer:

144 is the second power of 12

Step-by-step explanation:

Here, we want to get the power of 12 that 144 is

Mathematically;

144 = 12^2

What this mean is that we have to raise 12 to 2 to get 144

Thus, our answer is that 144 is the 2nd power of 12


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If you divided 48 objects into sets of 7, how many sets of 7 could you make, and how many are left over?

Answers

Answer:

6

Step-by-step explanation:

No. objects in one set = 7

Let there be n set

Then, No. objects in n set = 7*n = 7n

Given that total  no of objects are 48

Thus,

7n = 48

n = 48/7 = (42+6)/7 = 42/7 + 6/7 = 6 + 6/7

n = 6 + 6/7

Thus, there will be 6 set which has 7 objects. fraction means one set is fraction 6/7 but set cannot be in fraction hence negating it.

Now, total objects in 6 sets = 6*7 = 42.

No. of objects left = 48 - 6 = 6

The school band is selling sweatshirts and baseball caps to raise $9000 to attend a band competition Sweatshirts cost $25 each and baseball caps cost $10 each. The equation 25x + 10y = 9000 models this situation, where x is the number of sweatshirts sold and y is the number of baseball caps sold. The number of shirts sold is 258 X - intercept = y - intercept = How many caps were sold?x int:
y int:
how many caps were sold? :​

Answers

Answer:

255 caps were sold

Step-by-step explanation:

25x+10y = 9000

25(258) + 10y = 9000

6450 + 10y = 9000

-6450 + 10y = -6450

10y = 2550

2550/10y

y = 255

Final answer:

To find the number of baseball caps sold, set x = 0 in the equation 25x + 10y = 9000 and solve for y.

Explanation:

To find the number of baseball caps sold, we can rearrange the equation 25x + 10y = 9000 to solve for y. The y-intercept represents the number of caps sold when there are no sweatshirts sold, so we set x = 0. Plugging this into the equation, we have 25(0) + 10y = 9000. Solving for y, we get y = 9000/10 = 900. Therefore, the y-intercept is 900, which represents the number of baseball caps sold when no sweatshirts are sold.

So, based on the given equation, the number of baseball caps sold is 900.

Learn more about Solving equations here:

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How is the divisibility rule for 7 more complicated then the rules for 2,3,5 and 10?

Answers

Divisibility rule of 2: All even numbers are divisible by 2 means no remainder will be left. For example- 4,6,10,18,26 etc

Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3. For example- 15,54,213,699 etc

Divisibility rule of 5: A number is divisible by 5 if the number's last digit is either 0 or 5. For example- 40,85,255,3600,6510 etc

Divisibility rule of 10: The last digit must be zero. For example-100,450,2500,3010,5860 etc

Divisibility rule of 7: To know if a given number is divisible by 7, we will take the last digit of the number and double it. Then we will subtract the result from the rest of the number. If the resulting number is evenly divisible by 7, then the original number is also divisible by 7. For example: 2555, 5509,203, 287 etc

Lets check for 2555. double the last digit. 5 is doubled to 10. Then subtract 10 from 255 this gives 245. 245 is divisible by 7, so 2555 is divisible by 7.

this is the reason, divisibility rule of 7 is complicated as compared to other given number.

What are the solutions to the equation (x – 2)(x + 5) = 0?

Answers

A product of two (or more) factor can be zero if and only if at least one of the factors is zero.

In other words, you cannot multiply two non-zero real numbers, and have zero as a result.

So, if we want the product of these two factors to be zero, at least one of them has to be zero.

The first factor is zero if

x-2 = 0 \iff x=2

The second factor is zero if

x+5 = 0 \iff x=-5

The solutions to the equation are x = 2 and x = -5.

To find the solutions to the equation (x – 2)(x + 5) = 0, you need to set each factor equal to zero and solve for x. When the product of two factors is equal to zero, one or both of the factors must be equal to zero.

Set x - 2 = 0 and solve for x:

x - 2 = 0

x = 2

Set x + 5 = 0 and solve for x:

x + 5 = 0

x = -5

The solutions to the equation are x = 2 and x = -5. When you substitute these values back into the original equation, you get (2 - 2)(2 + 5) = 0 and (-5 - 2)(-5 + 5) = 0, both of which evaluate to 0, confirming that these are indeed the solutions.

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The length of the sides of a triangular garden are 10m 11m 13m.Find the measure of the angle opposite the longest side to the nearest tenth of a degree

Answers

c^2=a^2+b^2-2abcosC
13^2=10^2+11^2-2×10×11×cos(°)
169=100+121-220cos(°)
220cos(°)=100+121-169
220cos(°)=52
cos(°)= 13/55
°=cos-1(13/55)
°=76.328°

Consider the quadratic function f(x) = x2 – 5x + 6.What are the values of the coefficients and constant in the function?
A=
b =
C=

Answers

Hey there! :)

Answer:

a = 1

b = -5

c = 6.

Step-by-step explanation:

Recall that in standard form, the coefficients of a quadratic equation are:

f(x)= ax² + bx + c

In the given equation, we can identity the coefficients:

f(x) = (1)x² - 5x + 6

a = 1

b = -5

c = 6.