2160 as a product of its prime factors using indices

Answer:

5. x= 30

6. x= 34,67

Step-by-step explanation:

5. 5x = 3x +60

   2x = 60

   x = 30

6. 11x - 15 + 5x -13 = 180

   6x - 28 = 180

   6x = 208

   x= 34,666667 or 34,(6) or 34,67

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

Learn more about quadratic equation here

https://brainly.com/question/1863222

#SPJ2

Answer:

width = 7 cm

Step-by-step explanation:

63 / 9 = 7

Therefore, 7 * 9 = 63cm cube

Answer:

7

Step-by-step explanation:

63 ÷ 9 = 7

63 ÷ 7 = 9

9 x 7 = 63

:D

Answer:

C) x/21

Step-by-step explanation:

Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

Answer:

C. 1 centimeter = 30 meters

[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]

Answer:

the last one.

Step-by-step explanation:

Because there is 4 parts and one of them is red

Answer:

1/4

Step-by-step explanation:

All four areas are equal in area / circumference.

When spinning, each colour has equal probability, so 25%, or 1/4.

Answer:

x = 12

Step-by-step explanation:

(9x - 4)° + ( 5x + 16 )° = 180°

9x + 5x - 4 + 16 = 180

14x + 12 = 180

14x = 180 - 12

14x  = 168

x = 12

Answer:

True

Step-by-step explanation:

Sin t = 0.6

t = Sin⁻¹ (0.6) = 36.86

Cos t = 0.8

t = Cos⁻¹ 0.8 = 36.86

Answer:

The 7 is in the tenths place

Step-by-step explanation:

869.74

hundreds  tens  ones.  tenths  hundredths

 8                6      9            7             4

The 7 is in the tenths place

Answer: The 7 is in the tenths place not the hundreds place.

Tenths Hundreds

  0.1          0.01

Hope this helps...

Have a great day.

Answer: The diagram is shown below

==============================================================

Explanation:

If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.

If x < -5, then (x-5)(x+5) is positive. Let's say x = -6

(x-5)(x+5)

(-6-5)(-6+5)

(-11)(-1)

11

So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.

Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.

It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5

Plugging x = 0 leads us to

(x-5)(x+5)

(0-5)(0+5)

(-5)(5)

-25

Showing that (x-5)(x+5) is negative on the interval -5 < x < 5

---------------------------------------------

Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0

We found that (x-5)(x+5) is positive when x < -5 or when x > 5

(x-5)(x+5) is equal to zero when x = -5 or x = 5

So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]

To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).

The graph is below.

Given:

The table of values.

To find:

The function for the given table.

Solution:

From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.

Mathematically, it can be defined as:

[tex]y=1\times x[/tex]

[tex]y=x[/tex]

Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.

[tex]f(x)=x[/tex]

Therefore, the correct option is A.

Answer:

2,900 plums left

Step-by-step explanation:

3,000 plums - 100 sold plums = 2,900 plums left

Answer:

2900

Step-by-step explanation:

3000 (plums) - 100 (plums sold) = 2900 (plums left.)

You didn't say how much money you started out with by the plums.

Answer:

(x)^2 + (y+8)^2 = 36

Step-by-step explanation:

The standard form for an equation for a circle is

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is center of the circle and r is the radius

(x-0)^2 + (y- -8)^2 = 6^2

(x)^2 + (y+8)^2 = 36

C. People who bought a major appliance from the store.

A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.

For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;

i. They are the consumers of the product.

ii. They have bought and definitely used the product.

iii. They have some usable and useful experiences since they have handled the product.

Given:

The expression is:

[tex]789\times 175-75\times 789[/tex]

To find:

The value of the given expression by using the suitable properties of whole numbers.

Solution:

We have,

[tex]789\times 175-75\times 789[/tex]

Using the commutative property of multiplication, we get

[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]

Using the distributive property of addition over multiplication, we get

[tex]789\times 175-75\times 789=789\times (175-75)[/tex]

[tex]789\times 175-75\times 789=789\times 100[/tex]

[tex]789\times 175-75\times 789=78900[/tex]

Therefore, the value of the given expression is 78900.

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

Answer:

-¹/5.

Step-by-step explanation:

hope it helps you mark me as branliest

Answer:

x =5

Step-by-step explanation:

Formulas used

[tex]log_a \ x = b\\\\=>x = a^b\\\\(\frac{1}{a})^{-1} = a[/tex]

Solution :

      [tex]log_{\frac{1}{5}} \ x = -1\\\\x = (\frac{1}{5})^{-1}\\\\x = \frac{1}{5^{-1}} = 5[/tex]

Answer:

A

Step-by-step explanation:

Answer:

y = 8/3

Step-by-step explanation:

x = -2

y = 2/(3*-2) + 3

y = 2/-6 + 3

y = -1/3 + 3

y = -1/3 + 9/3

y = 8/3

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.

Answer:

they are NOT similar!

Step-by-step explanation:

the angles are not conguent or they are not the same in words

the don't add up with the same sum of angles,

so your explanation would be:

45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other

9514 1404 393

Answer:

  ∆AFN ~ ∆SHE . . . . AA~

Step-by-step explanation:

The third angle in triangle HSE is ...

  180° -45° -29° = 106°

This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.

Listing vertices in order of smallest-to-largest angles, the similarity statement is ...

  ∆AFN ~ ∆SHE . . . . AA~

Step-by-step explanation:

Measure angle <1=<4 letter f

Then 3x-160=x+20

2x=180

Then x=90

Answer:

y = 70

x = 70

is the answer. mark me as brainliest

Everything has been explained in there

Answer:

C

Step-by-step explanation:

y=mx+b where m =slope and b= y intercept

m=y-y/x-x or 3-1/1-0 or 2

B is where the line crosses the x axis or 1

So y=2x+1