Please help with the steps to get the answer. Thank you.
15^(4x-8 )= 1
[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]
1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.
need help ~
thx for answering~
Answer:
1:Cubic
2:5a and the value in the 2a is a exp.
3:Quintic
Step-by-step explanation:
Im sure this answer is correct
An expressions equated to another expression is called an equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that a = 5, hence:
2a + 5
substituting values:
2(5) + 5 = 10 + 5 = 15
2a + 5 = 15
The sum of twice and four times of the variable x is 2x + 4x = 6x
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⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%
Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:
C. 5.48%
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].
The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4000 - 3200}{500}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548 = 5.48%.
Hence option C is correct.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Simplify this question
[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 3+√-12[/tex]
[tex]\\ \sf\longmapsto 3+√12i[/tex]
[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]
[tex]\\ \sf\longmapsto 3+2√3i[/tex]
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?
Answer:
$132.74
Step-by-step explanation:
6.75% = 0.0675
Multiply 124.35 by 1.0675 because sales tax is added to original cost.
(124.35)(1.0675) = 132.74
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?The percentage is the value per hundredth.
According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.
∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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is the pair of complementary angles are in the ratio4:11 find them
Answer:
Step-by-step explanation:
Solve for x the equation 6cos^2 x+4sin^2 x=5.Forex 2 question 6 cos square x + 4 sin square x is equal to 5
Step-by-step explanation:
[tex]6 \cos {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]
[tex]6(1 - sin {}^{2} x) + 4 \sin {}^{2} (x) = 5[/tex]
[tex]6 - 6 \sin {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]
[tex]6 - 2 \sin { }^{2} (x) = 5[/tex]
[tex] - 2 \sin {}^{2} (x) = - 1[/tex]
[tex] \sin {}^{2} (x) = \frac{1}{2} [/tex]
[tex] \sin(x) = \frac{1}{ \sqrt{2} } [/tex]
Take the arc Sine of the function
[tex]arcsin( \frac{1}{ \sqrt{2} } ) = \frac{\pi}{4} [/tex]
Finally, Sine is a periodic function so it has two answers within the interval (0, 2 pi)
Use the identity
[tex] \sin(x) = \sin(x + \pi) [/tex]
We know that
[tex] \sin( \frac{\pi}{4} ) = \frac{1}{ \sqrt{2} } [/tex]
so using the identity
[tex] \sin( \frac{\pi}{4} + \pi ) = \sin( \frac{5\pi}{4} ) [/tex]
So we have two answers.
[tex]( \frac{\pi}{4} )[/tex]
[tex]( \frac{5\pi}{4} )[/tex]
l= prt is an example of.
Answer:
intrest=principle*rate* time
Step-by-step explanation:
Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.
Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?
Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.
Marion read 616 pages and did this in 14 days.
She read the same number of pages each day so the number of pages read per day was:
= Number of pages read in total / Number of days
= 616 / 14
= 44 pages
In conclusion, she read 44 pages per day.
Find out more about divisional problems at https://brainly.com/question/13417862.
How i can answer this question
Answer:
3(2q+1)
Step-by-step explanation:
6q+2
3(2q+1)
1,7,19,37,61,91,127,169…
Answer:
Sequence sum? but it has no right sequence
If m∠2=4x+7 and m∠7=5x-13, find x.
Answer:
x =20
Step-by-step explanation:
m∠2 ≅ m∠6 because they are corresponding angles
m∠6 ≅ m∠7 because they are vertical angles
∴ m∠2 ≅ m∠7 by substitution
4x+7 = 5x-13
7 = x-13
20 = x
The value of x is 20.
What are vertically opposite angles?Vertical angles are angles opposite each other where two lines cross.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.
According to the given question.
We have
m ∠2 = 4x + 7
and m ∠7 = 5x - 13
From the given figure we can say that
m ∠7 = m ∠6...(i) (because they are vertically opposite angles)
and m ∠6 = m ∠2...(ii) ( corresponding angles)
From (i) and (ii)
m ∠7 = m ∠2
⇒ [tex]5x - 13 = 4x + 7[/tex]
⇒ [tex]5x - 4x = 7 +1 3[/tex]
⇒ [tex]x = 20[/tex]
Hence, the value of x is 20.
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Luke has a piece of rope that is 3.6 meters long. He cuts the rope into two pieces. One is 1.93 meters long. How long is the other piece of rope?
What proportion of US women have a height between 62 and 67 inches?
Answer:
short ppl
Step-by-step explanation:
if u 62 inches u short as hell
Tyra, Elle, Tran, and Ann share equally in the rental of a car. If the total cost of the rental is C dollars, which expression represents Tyra's share of the cost?
Answer:
c/4
Step-by-step explanation:
Since it's equally shared, and the total cost is C, then the answer is c/4
Martin spent six dollars on four avocados how much money does he spend for two avocados
Answer:
$3
Step-by-step explanation:
cut the price in half because the amount of items was reduced by half
Answer:
three dollars
Step-by-step explanation:
$6 for 4
$x for 2
6=4
x=2
cross multiply
2×6=4×x
12=4x
Divide through by 4
x= 3
how many integers between 100 and 999 (inclusive) have distinct digits
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648
Julie counts the cars passing her house, and
finds that 2 of every 5 cars are foreign. If she
counts for an hour, and 60 cars pass, how
many
of them are likely to be domestic?
a. 12 cars
b. 24 cars
C.30 cars
d. 36 cars
HELLPPPP MEEEEE ASAPPPPPPP PLEASEEEEEEEEEEEEWEEEEEEEE
Answer:SORRY CANT HELP U THERE
Step-by-step explanation:
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
y = -2x + 5
hope this helps!
Please help if it’s correct I will give brainliest :)
(–4v–5)–(v–1)
Answer:
(-4v-5)-(v-1)= -5v-4
Step-by-step explanation:
hope it helps :D
Answer:
ok you want to come then come here
calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14
Answer: The volume(v) is 438.77.
Explanation: The formula for a right circular cone is in the image.
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
4/9 + 9/18. Please help me as soon as possible, it's due today.
Answer:
[tex]\frac{17}{18}[/tex]
Step-by-step explanation:
To solve 4/9 + 9/18 just find the common denominator which is 18.
to get 4/9 to get the denominator of 18 you multiply the denominator by 2:
9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.
Now, add the numerator and keep the denominator the same. 8 + 9 = 17.
8/18 + 9/18 = 17/18
A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount
Answer:
i believe its 58%
Step-by-step explanation:
Please help me with this question.
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED
I will report you if you send a link ;-; help correctly.
Answer:
the correct is 39
Step-by-step explanation:
there is nine number there so the fifth is it and it was in order that helped alot
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE THREE QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
A
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20
Answer:B
Step-by-step explanation:
20/5 = 4
4 x 3 =12
Answer:
C
Step-by-step explanation: