Answer:
1/72Step-by-step explanation:
[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex][tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]
[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]
Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet
Answer:
1 inch = 2 feet
Step-by-step explanation:
Answer:
1 inch ÷ 2 feetStep-by-step explanation:
According to given:
8 feet → 4 inDivide both by 4 to get the scale of drawing:
8/4 feet → 4/4 in2 feet → 1 inhelp me please someone
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
What are the solutions of y=x^2+5x-7
Answer:
You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.
If you wanted to know if and where the RHS crosses the x axis, the points are the solution to
[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]
If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
If 2/15 is 40 then 1/15 is?
(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)
Answer:
20
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] = 40
[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]
40 ÷ [tex]\frac{2}{1}[/tex] = 20
I need help this goes towards my grade so please be correct
Answer:
0 us the answer for this question
In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?
The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?
Answer:
10 times
Step-by-step explanation:
The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.
(ASAP) i also need help with this plss
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is
Answer: y = -66x + 201
Step-by-step explanation:
What is the meaning of the statement ((30) =76?
Answer:
A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F
B) [tex]f(x)=-0.4x+88[/tex]
Step-by-step explanation:
A)
In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.
So we have:
x = minutes after the air conditioner started to cool the house
f(x) = temperature
Here we want to find what is the meaning of
[tex]f(30)=76[/tex]
Which implies that:
[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house
[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F
So, the interpretation of f(30) =76 is that:
"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"
B)
Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.
We know the following information:
- At time x = 0, the temperature inside the house is 88°F
- At time x = 30 min, the temperature inside the house is 76°F
We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:
[tex]f(x)=mx+q[/tex]
where
[tex]q[/tex] is the value of the temperature at x = 0, so q = 88
m is the rate of change of the temperature
The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:
[tex]m=\frac{76-88}{30-0} =-0.4[/tex]
which means that the temperature decreases by 0.4°F every minute. So, the function can be written as
[tex]f(x)=-0.4x+88[/tex]
order -9, -16, -13, 0 from least to greatest
Answer:
_16,-13,-9,0
Step-by-step explanation:
hope this helps u out!!
what is 39/17 as a decimal rounded to the nearest tenths?
Find the total surface area of this triangular prism.
Answer:
look at the photo.....................The surface area of the given triangular prism = 920 square cm.
In the given triangular prism
S1 = 25 cm
S2 = 25 cm
S3 = 14 cm = base
Height = 24 cm
length = 10 cm
Perimeter = S1 + S2+ S3
= 25+25+14
= 64 cm
Area of base = length x base
= 10x14
= 140 square cm
Since we know that,
Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)
= (64x10) + 2x140
= 640 + 280
= 920 square cm
Hence,
The required surface area = 920 square cm.
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The sum of two numbers is x . If one of the numbers is 12, what is the other?
Answer:
x-12
Step-by-step explanation:
let us say that the other number is n. then we have n+12=x or n=12-x
At the produce store you can buy 5 bags of bananas for $23.15 . How much would it cost if you were to buy 6 bags?
Answer: $26.16
Step-by-step explanation:
23.15 / 5 = 4.63
4.63 x 6 = $26.16
1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:
Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.
Step-by-step explanation:
Answer:
1: 18 3: 54 6: 108
Step-by-step explanation:
A triangle has 180 degrees.
You need to add up all the ratios 1+3+6
Then divide that by 180----> 180/10=18
Then multiply all the ratios by but answer(18)
1*18=18
3*18=54
6*18=108
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.
Answer:
-9?????????????????????????
Step-by-step explanation:
Which table is not a proportional relationship
Answer:
B and D
Step-by-step explanation
Answer:
D
Step-by-step explanation:
sequence in the earnings is unproportional difference between 27 and 54 is not 9Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
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Find the monomial if the expression is a cube of that monomial (find the cube root)
-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp
Answer:
first one is -3/4a^3b^2
Step-by-step explanation:
i dont know the second one and i need help on that one too im sorry
The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
the expression are;
1. - 27/64 a⁹b⁶
2. - 0.001 a³n³ⁿ⁺³
Now,
Solve the expression as;
1. - 27/64 a⁹b⁶
Take cube root, we get;
∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²
= - 3/4 a³b²
And, - 0.001 a³n³ⁿ⁺³
∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹
= - 0.1 aⁿ⁺¹
Thus, The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
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spilled $40 into the ratio of 3:7
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
The product of 6 and the sum of a number and 3 is 60
Answer:
8(x+3) is the answer
Step-by-step explanation:
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The product of 6 and the sum of a number and 3 is 60.
Let the number be 'x'. Then the equation is written as,
6(x + 3) = 60
Simplify the equation, then the value of the variable 'x' will be calculated as,
6(x + 3) = 60
x + 3 = 60 / 6
x + 3 = 10
x = 10 - 3
x = 3
The equation is 6(x + 3) = 60. Then the solution of the equation is 3.
More about the Algebra link is given below.
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If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.
Answer:
Where's the question?
Step-by-step explanation:
sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?
Answer:
$243
Step-by-step explanation:
b
– 2 =
7
8
Write your answer as a fraction or as a whole or mixed number.
b =
Answer:80
Step-by-step explanation:
Would appreciate your help a lot!
Answer:
None of those answers are right. It should be
[tex] - \frac{23}{24} [/tex]
Step-by-step explanation:
You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.
[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]
Subtract 3/24 from both sides since it is being added.
[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]
Since there are two negatives on the left, add the fractions together and keep the negative sign.
[tex] - \frac{23}{24} = z[/tex]
You cannot reduce this fraction.
Are repeating decimals like 34.79 rational numbers?
Answer:
Yes. 34.79 is a rational number because it can be written as a fraction.
Step-by-step explanation:
Hoped this helped.
