Answer:
1. 12r= 2
2. 60r - 4= 6
3. 3r power of 2= 1/12
Step-by-step explanation:
1. 12r = 12* 1/6= 12/6= 2
2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6
3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12
or
(3*1/6) power of 2= (1/2) power of 2= 1/4
Convert the expression (√5)(∛5) to exponential form. Show your work.
Answer:
[tex] {5}^{ \frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]
(20,-6)(6,5) find the slope
A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
What is the scale factor of this dilation?
A:2/3
B:1 1/2
C:3
D:5
Please hurry it’s timed
Answer:
1 1/2
B
Step-by-step explanation:
The total for some groceries at the store was $25.63. With 8% sales tax, what is the total? $
Answer:
$2.05
Step-by-step explanation:
just do the math bro
Answer:
$27.72
Step-by-step explanation:
I hope this helps!!!
11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
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A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Compare the numbers using >,<, or =
874,023______874,233
5,493,820______5,492,483
Answer:
<
>
Step-by-step explanation:
We have two sets of numbers and are asked to compare using the <, >, = symbols.
Remember :
< means less than
> means greater than
= means equal to
One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?
874,223.
<
Now for the second set,
>
Pls help!! i beg you
Answer:
fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase
Hope It Helps!
how do you complete this task?
Answer:
-3/2
Step-by-step explanation:
y=mx +b
where m is the slope and b is the y intercept
we just need to rewrite 3x+2y+18=0 to look like that
We need to get y by itself
3x+18= -2y
we need y to be positive and to have no number in front of it (no coeficcent)
y= -3/2x-9
the slope is therefore -3/2
Answer:
[tex]-\frac{3}{2} [/tex]
Step-by-step explanation:
3x + 2y + 18 = 0
Equating it with.
ax + by + c = 0, we find:
a = 3, b = 2, c = 18
Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]
In order of operation plsss help 10/5 + 3 x 5 - 5
9 × 10²
I NEED ANSWERS QUICK
A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.
Answer:
$6.89
Step-by-step explanation:
Answer:
6.89
Step-by-step explanation:
when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89
Solve for x : 5= 2+3x. Single choice. answer choices:
x=7/3
x=1
x=-1
Answer:
answer is x=1
Step-by-step explanation:
][[[[[[[[[
Consider proving the following.
Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.
A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?
1. Rotate △ABC′ 90∘ about point A.
2. Reflect △WXY in WX←→− to create △WXY′.
3. Translate △ABC′so that point A maps to point W.
4. Find the hypotenuse of △ABC′ in terms of s.
Answer: 2
Step-by-step explanation:
2. Write the equation –3x + 5y = 10 in slope-intercept form.
PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.
What is the unit rate of her speed in miles per minute?
Answer:
Her speed is 0.05 miles per minute
Step-by-step explanation:
The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:
0.5 miles in 10 minutes. So
0.5/10 = 0.05 miles per minute
Her speed is 0.05 miles per minute
Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
what is the area of a circular swimming pool with the radius of 3 feet
Answer:
9[tex]\pi[/tex]
Step-by-step explanation:
r=3
Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
Answer:
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The phone lines to an airline reservation system are occupied 61% of the time.
This means that [tex]p = 0.61[/tex]
If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
This is P(X = 5) when n = 11. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis
Answer:
f(x)=-|x|+19
Step-by-step explanation:
so shifted 19 units up means
abosolute value of x + 19
and reflected in the x axis means that you have to put the - before the abosolute value.
so -|x|+19
5 is 1% of what number?
Answer:
500
Step-by-step explanation:
well uh, 5 x 100 is 500 and it’s out of 100%.
Answer:
500
Step-by-step explanation:
Choose >, <, or = to compare each pair of numbers
5.31 ______ 5.13
Answer:
>
Step-by-step explanation:
Answer:
5.31 > 5.13
Step-by-step explanation:
5.31 is greater than 5.13 as it is farther than 5.13 on the number line.
Choose the number that correctly completes the ratio table.
Answer:
its 8:9
Step-by-step explanation:
It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.
Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.
Answer:
Step-by-step explanation:
The middle three expressions are equivalent.
Answer:
The above answer is correct
hope it is helpful to you
boole summation formula used in real life
Put these fractions in order of size