Formulas used :
[tex]loga^ x = x \ log a[/tex]
[tex]logab = log a + logb[/tex]
Steps :
[tex](x+y)^2 = 125xy\\\\log(x+y)^2 = log(125xy)\\\\2log(x+y) = log 125 + log x + log y\\\\2log(x+y) = log 5^3+ log x + log y\\\\2log(x+y) = 3 log 5 + log x + log y\\\\[/tex]
-4=12-2x
please help me with step by step
Answer:
x=8
Step-by-step explanation:
-4 = 12 - 2x
when plus 12 goes to the left hand side it changes its sign so,
-4 -12 = -2x
- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -
-16=-2x
when -2 comes to the left hand side it changes its from multiplication to division.So,
-16/-2=x
8=x
we will get positive 8 because minus and minus also gets cancel.
Answer:
x=8
Step-by-step explanation:−4=12−2x
−4=12−2xSwap sides so that all variable terms are on the left hand side.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.x=−16÷-2
Divide −16 by −2 to get 8.
Divide −16 by −2 to get 8.x=8
Using the net below, find the surface area
of the pyramid.
4 cm
2 cm
2cm
can someone help with this one im confused.
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal
Hypothesize why human artifacts on the Moon might need to be protected.
because moon artefacts are prone to damage and need to be protected
Solve the equation x =
far for r.
A. r =
=
33
47
O
O
B. r = 3.0 – 45
c. r =
471
32
O D. r= 3x (41)
Step-by-step explanation:yo
Find the distance between the points A(-6,8) and B(12, -7) by using the distance formula or Pythagorean Theorem.
For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?Answer:
Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?
Answer:
24000ml or 24L
Step-by-step explanation:
wxhxl = volume
20cm x 30cm x 40cm = volume
volume = 24000cm3
1cm3 = 1ml
24000cm3 = 24000ml
1000ml = 1L
24000ml = 24L
The human resources managet at a company records the length in hours of one shift at work, X. He created the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?
Answer:
The probability that a worker chosen at random works at least 8 hours is 0.83
Step-by-step explanation:
Given
See attachment for probability distribution
Required
[tex]P(x \ge 8)[/tex]
At least 8 hours means that a worker works for 8 hours or more.
So:
[tex]P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)[/tex]
By reading the probabilities from the graph, we have:
[tex]P(x \ge 8) = 0.61 + 0.14+ 0.08[/tex]
[tex]P(x \ge 8) = 0.83[/tex]
To convert 120 ounces to pounds, which of the following proportions should you use?
ANSWER VERY QUICKLY PLEASE!!!! NEED ANSWERS ASAP.
Answer: you would use the last option
Round 27834 to 2 significant figures
28000 is the answer.
you count two numbers from front and approximate
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
Answer:
0.39063241
Step-by-step explanation:
cost per item: 6.06
items sold: 64321
total profit: 25123.5
sale price: ?
x = number of items
64321x - 6.06x = 25123.5
64314.94x = 25123.5
x = 25123.5/64314.94 = 0.39063241
Calculate the area of sector if the angle is 45 degrees and the radius is 15cm
Answer:
[tex]area = \frac{45}{360} \times \pi {(15)}^{2} \\ = 88.35729338221 \\ = 88.6 \: (3sf)[/tex]
The values in the table represent a function.
A 2-column table with 5 rows. The first column is labeled x with entries negative 6, 7, 4, 3, negative 5. The second column is labeled f of x with entries 8, 3, negative 5, negative 2, 12.
Use the drop-down menus to complete the statements.
The ordered pair given in the first row of the table can be written using function notation as
.
f(3) is
.
f(x) = –5 when x is
.
Answer:
4rfjq3yr i
Step-by-step explanation:
Answer:
✔ f(–6) = 8
✔ –2
✔4
Step-by-step explanation:
Got them right just now on Edge !!!
What is the value of X in the situation
14. Evaluate the expression.
4!
24
28
20
Answer:
24.
Step-by-step explanation:
By definition, factorial 4
= 4!
= 4*3*2*1
= 24.
Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
the value of x which makes 2/3(1/4x-2)=1/5(4/3x-1)
PLEASE ANSWER ASAP 45 POINTS !!!
Answer:
x= -34/3
Step-by-step explanation:
just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3
Which of Roosevelt's contributions is considered to be the biggest construction undertaking in the nation's history?
Answer:
Public works administration
Step-by-step explanation:
Roosevelt's public work administration was a part of the new deal in the year 1933. The PWA was intended to cut down on the number of unemployed persons, and to raise the purchasing power of the people through the constructions. Most job seekers that were employed were those that had no formal education. the public works projects included road constructions, bridges, dams as well as public buildings like schools, hospitals
What is the measurement shown ?
answers:
3.5
2.875
about 3.0625
Use thing below for answers
if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
[tex]20[/tex]%[tex]=[/tex]
[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]
Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.
[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]
[tex]80[/tex]%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
i need someone to do my 7th grade summer school work i will pay it's math and ela add me on dis if going to help me Kalani#5906
Added you
____________
a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class
Answer:
33
Step-by-step explanation:
Trust me it'll work.
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
DUE IN 40 MINUTES OMG- PLS HELP IF YOU CAN
Convert standard form to vertex form then identify the vertex
-2x^2 - 8x + 3
Answer:
vertex point at (-2|11)
f(x)=-2*((x+2)^2+1*-11/2) (simplified)
Step-by-step explanation:
f(x)=-2*x^2+-8*x+3
f(x)=-2*(x^2+4*x+-3/2) ( Factor out )
f(x)=-2*(x^2+4*x+(2)^2+-1*(2)^2+-3/2) ( Complete the square )
f(x)=-2*((x+2)^2+-1*(2)^2+-3/2) ( Use the binomial formula )
hope this helped, I didn't get much to work with so if i'm wrong i'm sorry
Answer pls………………………..
Answer: Choice C. [tex]3\sqrt{17}[/tex]
================================================
Work Shown:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]
I used the distance formula for those steps above.
The two points were (x1,y1) = (12,-21) and (x2,y2) = (15,-9) but you could swap the order.
As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.
Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
learn more on inequality here: https://brainly.com/question/11872626
#SPJ2
How much is 106 divided by 6?
A) 17 R2
B)17 R3
C)17 R4
D)17 R1
Answer:
C, 17 R4.
Step-by-step explanation:
6x17 is equal to 102, and 102+4 gets you to 106, therefor C is the correct answer.
What properties of a figure stay the same after a reflection? *
Answer:
1. The preimage and image are congruent
2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection
3. Corresponding angles on the preimage and image are congruent
4. Corresponding points of the preimage and image are equidistant from the line of reflection.
y is directly proportional to the square of x. given that y = 50 when x = 5, find the value of y when x = 3
Answer:
y = 18
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y = 50 when x = 5
50 = k × 5² = 25k ( divide both sides by 25 )
2 = k
y = 2x² ← equation of proportion
When x = 3 , then
y = 2 × 3² = 2 × 9 = 18