7. The prime factorization of which number is 2^5 x 5?
A) 50
B) 125
C) 160
D) 500​

Answer:

(2x - 5) (x + 1)

Step-by-step explanation:

2x2 - 3x - 5 = 0

(2x - 5) (x + 1) = 0

6x+ 0.7= 18.7​

Subtract 0.7 from both sides of the equation:

6x+0.7-0.7 = 18.7-0.7

6x= 18

Divide both sides by 6:

6x/6 = 18/6

x= 3

The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

for such more question on real value

https://brainly.com/question/27371101

#SPJ8

Answer:

2cm

Step-by-step explanation:

area of parallelogram=b*h=18cm

5*4=20

length of corresponding heights=20-18

=2cm

the length of corresponding height of the parallelogram is : 2cm

A parallelogram can be defined as a simple quadrilateral that is it possesses four sides and two pairs of parallel sides.

A opposite sides of a parallelogram are equal and the opposite angles of a parallelogram are equal.

In conclusion, the length of corresponding height of the parallelogram is : 2cm

Learn more about  parallelogram : https://brainly.com/question/970600

#SPJ2

Answer:

Part A: 24

Part B: 256

Step-by-step explanation:

Part A

Without Repetition means that once you use a number out of the given four, it can't be used again.

Answer: 4*3*2* 1 = 24

Part B

Part B allows repetition. That means that the numbers can be used as many as 4 times.

Answer: 4*4*4*4 = 256

Step-by-step explanation:

If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

y + 68° = 180° { being opposite angles of cyclic quadrilateral }

y = 180° - 68°

y = 112°

x + 82° = 180° { being opposite angles of cyclic quadrilateral }

x = 180° - 82°

x = 98°

Hope it will help :)❤

Answer:

x=4

Step-by-step explanation:

subtract both sides then divide

Answer:

a= -1.4

Step-by-step explanation:

Answer:

-1.4

Step-by-step explanation:

Answer:

\(-3(t+1)(8t-3)\)

Step-by-step explanation:

First, factor both the denominators completely:

\(9-24t\\= 3(3-8t)\\= 3(-8t+3)\\= -3(8t-3)\)

\(8t^2+5t-3\\= 8t^2+8t-3t-3\\= 8t(t+1)-3(t+1)\\= (8t-3)(t+1)\)

Now, we can see that the factors of the first denominator are -3 and 8t-3.

The factors of the second denominator are t+1 and 8t-3.

To find the LCD, multiply all of these factors together:

\(-3(t+1)(8t-3)\)

Notice how we only multiply 8t-3 in the equation once. This is because it was present in both denominators, unlike the other factors.

I hope this helps!

The probability of the complement of event A is 0.15, or 15%. This means that the probability of A not occurring is 0.15.

It is a branch of mathematics that deals with the occurrence of a random event.

The complement of event A, denoted as A', refers to the event that A does not occur. By definition, the sum of the probabilities of an event and its complement is always equal to 1.

Therefore, we can find the probability of A' by subtracting the probability of A from 1:

P(A') = 1 - P(A)

Substituting P(A) = 0.85, we get:

P(A') = 1 - 0.85

P(A') = 0.15

Therefore, the probability of the complement of event A is 0.15, or 15%. This means that the probability of A not occurring is 0.15.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

What is probability?

When we do not really know how something will turn forth, we can talk about the probability of one outcome or the likelihood of several.

Given that,

the coin is flipped = 2,500 times.

heads =1,223 times and tails= 1,277 times.

and

A die was rolled = 60 times

one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times.

The empirical probability of flipping heads on the coin AND rolling a four on the die = (1223/2500) + (8/60)

=0.623

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

total students = 640

number of boys = 640-416 = 225

Step-by-step explanation:

percentage of girls = 100-35 = 65%

let total number of students be x

100*416/x = 65

41600/x = 65

x= 41600/x

x= 640

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

y = 4x + 5

Step-by-step explanation:

-4x + y = 5

-4x + 4x + y = 5 + 4x

y = 5 + 4x

Hope this helps! :)

Answer:

\(\displaystyle\text{Slope: } -\frac{4}{3}\)

Point (4,1)

Step-by-step explanation:

The Equation of the Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The given line is:

\(\displaystyle y-1=-\frac{4}{3}(x-4)\)

If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:

Slope:

\(\mathbf{\displaystyle -\frac{4}{3}}\)

Point (4,1)

Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

Learn more about decimals here:

https://brainly.com/question/1827193

#SPJ1

Answer:

something

Step-by-step explanation:

Answer:

The file contains the solution to the question

Answer: 5 calories = 1 cracker

Step-by-step explanation:

60:12 = 5:1

60 calories and 12 crackers = 5 calories and 1 cracker

Answer:

the third one.

Step-by-step explanation:

clockwise rotation of 90*

Answer:

clockwise rotation of 90 degrees

Step-by-step explanation:

Please put me as brainliest answer :)

Answer:

56

Step-by-step explanation:

Multiply it out 2×2×2×7 = 56

Answer:

The first common number are 2 and 3

their comnon multiple is 6

So, the fourth number will be 24 because

multiple means we should multiply 4*6 it will be 24.

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

Answer:

2.36

Step-by-step explanation:

order of operations : pemdas

parenthesis, exponents

multiplication, division

addition, substraction

first parenthesis, so

(32-4) = 28

parenthesis again

[10+28] = 38

now you have

90/38 = 45/19 = 2.36

The simplified result of the expression 90÷[10+(32−4)] is approximately (2.36842105).To simplify the expression 90 ÷ [10 + (32 - 4)] using the order of operations (PEMDAS/BODMAS), we follow these steps one at a time:

Step 1: Perform the operations inside the innermost parentheses.

(32 - 4 = 28)

Now the expression becomes: (90 ÷ [10 + 28])

Step 2: Perform the addition inside the brackets. (10 + 28 = 38)

Now the expression becomes: \(90 ÷ 38\)

Step 3: Finally, perform the division.

(90 ÷ 38 ≈ 2.36842105) (rounded to 8 decimal places)

So, the simplified result of the expression is approximately (2.36842105).

To know more about expression:

https://brainly.com/question/34132400

#SPJ3

Answer:

The original tax credit was $2500, so 15% of that is:

0.15 x $2500 = $375

Therefore, buyers would receive a $375 tax credit if they purchased the vehicle one year after the sales reached the 60,000 unit threshold.