Answer:
[tex]\bf C)\: -\cfrac{1}{32}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]
[tex]\tt x=2\\y=-4[/tex]
~
Substitute ''x'' with '2' & 'y' with "-4":-
[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]
First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]
[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]
[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]
Calculate exponents:- -4^5= -1024
[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]
Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]
[tex]\tt-\frac{1}{32}\times \:1024[/tex]
[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]
Apply fraction rule:-
[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]
[tex]\tt \cfrac{1024}{32}[/tex]
Divide numbers:-
[tex]\tt -32[/tex]
Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-
[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]
☆-------☆-------☆-------☆
[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]
If the labor force is 300,000 workers,
but 24,000 are unemployed, what is the
unemployment percentage?
A. 3%
B. 8%
C. 18%
D. 24%
Answer:
8%
Step-by step explanation:
We are given:
Total workers: 300,000Unemployed workers: 24,000The formula to determine the percentage of unemployed workers in the total workers, we need to divide the number of unemployed works by the total workers in the labor force. Then, multiply the quotient by 100 to obtain the percentage of unemployed workers.
Formula:
[tex]\dfrac{\text{Unemployed workers}}{\text{Total workers} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Substitute the given values into the formula to determine the percentage of unemployed workers in the labor force.
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } \times 100 = \text{Percentage of unemployed workers}[/tex]
Now, simplify the equation. The easiest way to simplify the equation is to temporially ignore the "100".
[tex]\implies \dfrac{\text{24,000}}{\text{300,000} } = \text{Percentage of unemployed workers}[/tex]
Then, cancel the "0's" on the L.H.S. This is a good way to simplify the equation on the L.H.S
[tex]\implies \dfrac{\text{24}}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Don't forget to multiply the result by 100 as it was temporaily hidden.
[tex]\implies \dfrac{\text{24}}{\text{300} } \times 100= \text{Percentage of unemployed workers}[/tex]
Let 100 be 100/1. Thus, our equation will be:
[tex]\implies \dfrac{\text{24}}{\text{300} } \times \dfrac{100}{1} = \text{Percentage of unemployed workers}[/tex]
Multiply the numerator with the numerator and the denominator with the denominator.
[tex]\implies \dfrac{24 \times 100}{\text{300} \times 1} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
Cancel the "0's" on the L.H.S to make it easier to simplify.
[tex]\implies \dfrac{2400}{\text{300} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies \dfrac{24}{\text{3} } = \text{Percentage of unemployed workers}[/tex]
[tex]\implies 8 = \text{Percentage of unemployed workers}[/tex]
Thus, 8% of the workers are unemployed workers.
Help picture below problem 17
Answer:
b= 7
Step-by-step explanation:
Answer:
Missing Side = 7 feet
Step-by-step explanation:
by Pythagora
25² = P² + 24²
625 - 576 = P²
P² = 49
P = √49
P = 7 feet
Help what is the product?
Answer:
(6 18)
Step-by-step explanation:
[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]
i will give brainliest
Answer:
Below
Step-by-step explanation:
Population: 10,000
Sample: 250
how to convert a improper fraction to a mixed number
Answer:
Step-by-step explanation:
Divide the numerator by the denominator.
Write down the whole number part of the quotient.
Take the remainder and write it over the original denominator.
So can someone explain how the heck does 4 x 4 x 4 = 64??
Cause I keep on getting 12 so like wth??
Answer:
it is more like, 4x4=16
16x4=64
Step-by-step explanation:
I know it can be confusing, but you will eventually get it :)
i think you were adding 4+4+4=12, but that is not what you are supposed to do here.
Hope i helped :)
the point inside a circle that is the same distance from all the points on the circle
Answer:
the center
Step-by-step explanation:
The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.
Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.
Answer:
Lauren needs to get 95 on her next math test so that the mean and median remain the same
Step-by-step explanation:
92+93+ 94+ 95+96+97+98 = 665
665/2 =95
mean=95
median=95
x= score could Lauren get on her next math
(665+ x)/8 =95
multiply both sides by 8 to eliminate fraction
665 +x = 760
x=95
So now the median is the same
(95+95)/2=95
shorcut:
with 7 scores 95 is the median(in the middle)
with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95
While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5
Answer:
15.75 is 6.3% of 250.
Formula:
[Percentage] x [Number Given] = [New number]
Using scales of 1cm to 30° on the x axis and 2cm to 1 unit on the y axis,draw the graph of y=sin 0 for 0°less than or equal to 0 less than or equal to 360°.Using the graph to a)find the equation b) solve the equation i)sin0=0.6 ii)4sin0=-3
Help me and will mark brainlest
Answer:
Attachment 1: graph of [tex]y=\sin(\theta)[/tex]
(using given scale)
Question (a) (Attachment 2)
[tex]\sin(\theta)=0.6[/tex]
Draw the line [tex]y=0.6[/tex] (shown in blue).
Find the points of intersection of the sine curve and the line.
Measure to find the values of [tex]\theta[/tex]
[tex]\theta=37^{\circ},143^{\circ}\:\textsf{(nearest degree)}[/tex]
Question (b) (Attachment 3)
[tex]4\sin(\theta)=-3[/tex]
[tex]\implies \sin(\theta)=-\dfrac34[/tex]
Draw the line [tex]y=-\dfrac34[/tex] (shown in red).
Find the points of intersection of the sine curve and the line.
Measure to find the values of [tex]\theta[/tex]
[tex]\theta=229^{\circ},311^{\circ}\:\textsf{(nearest degree)}[/tex]
What is the value of z?
Answer:
z=58
Step-by-step explanation:
Sum of interior angles of a n-gon = (n-2) 180
for this 7-gon (heptagon) (7-2)(180) = 900
so all of the angles added togehter = 900
z+50 + 2z + 2z+23 + 3z-37 + 2z+31 + 113 + 140 = 900
z = 58
A politician takes an SRS of 75 citizens in a county to see what proportion of citizens sampled are satisfied with
their standard of living. Suppose that 80% of the 118,000 citizens in the county are satisfied with their
standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are
satisfied with their standard of living?
Answer:
μp^ = 0.8
σp^ = √0.8(1−0.8)/75
Step-by-step explanation:
Determine the zeros of x^2 + 19x = 6x - 30
Answer:
The number of Zeros (roots) is
-3 and -10
Step-by-step explanation:
x^2 + 19x = 6x - 30
α4 + β4 in α+ β and α β terms
Step-by-step explanation:
[tex] { \alpha }^{4} + { \beta }^{4} = ( {( { \alpha }^{2} })^{2} + {( { \beta }^{2} })^{2} [/tex]
[tex] = {( { \alpha }^{2} + { \beta }^{2} })^{2} - 2( { \alpha }^{2} )( { \beta }^{2} )[/tex]
[tex] {( {( \alpha + \beta )}^{2} - 2 \alpha \beta ) }^{2} - 2( { \alpha )}^{2} ( { \beta )}^{2} [/tex]
I hope it helped you
Which inequality represents the sentence below?
HURRY
Two more than a number is less than 14. 2+
Answer:
2 + n < 14 is the inequality please
How do u substitute 5x-y=-5 3x-6y=24
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Answer:
Step-by-step explanation:
13tX 9
7. Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $ each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
The total number of terra-cotta tiles needed is 220 tiles.
The total number of blue tiles needed is 4428 tiles.
The cost of all the tiles would be $3,092.60.
What is the total number of tiles needed?The first step is to determine the area of the entryway and the kitchen.
Area of the entryway = length x width
(22 - 18) x 10 = 40 ft²
Area of the kitchen = 10 x 18 = 180ft²
Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles
Total cost = 220 x $5 = $1100
Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²
Convert ft² to in²
1 ft² = 144in²
123 x 144 = 17,712 in²
Number of tiles needed = 17,712 / 4 = 4428 tiles
Total cost = 4428 x 0.45 = $1992.60
Total cost = $1992.60 + $1100 = $3,092.60
Here is the complete question: Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
Type your answer in the box. You may use numbers, a decimal point (.), and/or a negative sign (-) in
your answer.
In one design being considered for the container shaped like a cylinder, the container will have a height
of 12 inches. What will be the radius of the container, to the nearest tenth of an inch?
153 = 9k HELP PLEASE THANK YOU
Answer:
17
Step-by-step explanation:
the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible
Please help me with this question im really confused on it (please show work)
Answer:
SA = 434 ft^2
Step-by-step explanation:
We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.
length - L
width - W
height - H
surface area - SA
H = 8 ft
L = 14 ft
W = 7 ft
To calculate the area of each side or surface of the shed,
since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.
Surface area:
SA = 2 × (W×H + L×H) + L×W
SA = 2 × (7×8 + 14×8) + 14×7
SA = 434 ft^2
Select the quadratic that has roots x = 8 and x = -5.
A
x2 + 3x - 40
B
x² – 3x – 40
C
x? + 13x + 40
D
x? - 13x + 40
[tex]\text{ The roots are}~ \alpha = 8~ \text{and}~ \beta = -5\\\\\text{Equation for the given roots,}\\\\x^2 -(\alpha +\beta )x +\alpha \beta = 0\\\\\implies x^2 -(8-5)x + 8(-5)=0\\\\\implies x^2 -3x -40=0\\\\\text{Hence, the answer is option B}[/tex]
if the length of diagonal of a square is 4√2 cm, find it's length, perimeter and area.
Answer:
As Per Provided Information
Length of diagonal of square is 4√2 cmWe have been asked to find the length , perimeter and area of square .
First let's calculate the side of square .
Using Formulae
[tex] \boxed{\bf \:Diagonal_{(Square)} \: = side \sqrt{2}}[/tex]
On substituting the value in above formula we obtain
[tex] \qquad\longrightarrow\sf \:4 \sqrt{2} = side \sqrt{2} \\ \\ \\ \qquad\longrightarrow\sf \:4 \cancel{\sqrt{2}} = side \cancel{ \sqrt{2}} \\ \\ \\ \qquad\longrightarrow\sf \:side \: = 4 \: cm[/tex]
Therefore,
Length of its side is 4 cm.Finding the perimeter of square.
[tex] \boxed{\bf \: Perimeter_{(Square)} = 4 \times side}[/tex]
Substituting the value we obtain
[tex]\qquad\longrightarrow\sf \:Perimeter_{(Square)} \: = 4 \times 4 \\ \\ \\ \qquad\longrightarrow\sf \:Perimeter_{(Square)} = 16 \: cm[/tex]
Therefore,
Perimeter of square is 16 cm .Finding the area of square .
[tex] \boxed{\bf \: Area_{(Square)} = {side}^{2}}[/tex]
Substituting the value we get
[tex]\qquad\longrightarrow\sf \:Area_{(Square)} \: = {4}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Square)} = 16 \: {cm}^{2} [/tex]
Therefore,
Area of square is 16 cm².You roll 2 six-sided dice. What is the probability of rolling a sum that is less
than 4? Round your answer to the nearest whole number percent.
change the following fractions to decimal -3/8
Answer:
3/8 as a decimal is 0.375.
ASKING AGAINN COMONN YALL
Answer:
20 units
Step-by-step explanation:
The y axis is 2-6 so subtract 6 and 2 which is 4
the x axis is 3-9 so subtract 9 and 3 which is 6
The other sides are the same
4+4+6+6= 20
Find the product of (x - 5)2
-
O x2 + 10x + 25
O x2 - 10x + 25
O x2 - 25
-
O x2 + 25
What shape is this cross-section?
O A. Circle
OB. Trapezoid
O C. Rectangle
O D. Triangle
Answer:
C. rectangle is cross section shape
if Bill
deposits $3000 in an account that earns 6.5% compound interest annually for 3.5 years.
How much interest will he have earned?
Answer:
$3,623.84 Exact answer without rounding | $3,623.85 ~ (Approximent Answer with rounding.)
Step-by-step explanation:
Compound Interest Has a Specific Formula:
This case is Exponential Growth.
Formula: y= ab^x
You need to set up the equation.
First we need to define the rate of growth meaning what do you have to do for the 6.5%.
You need to do 100% + 6.5% = 106.5%
You need to convert the percent to a decimal which will be 1.065
Now we need to start plugging things into our formula to solve.
Your initial Starting amount was $3000
So you need to have y=3000(b)^x
We now know that the rate of growth is 1.065 so the b would be 1.065
y=3000(1.065)^x
Our power to x is our 3.5 years.
Our Equation now:
y=3000(1.065)^3
Now you need to use a calculator to do this due to the amount of decimals and digits.
Remember pemdas when doing this!!!
The answer should result to $3,623.84 but if rounded then: $3,623.85
Find two consecutive positive integers such that the sum of their squares is 761
Answer:
[tex]19^{2} +20^{2}[/tex] is 761
Step-by-step explanation:
Answer:
19 and 20
Step-by-step explanation:
Let the integers be x and x + 1.
According to the question,
x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19Therefore, the integers are :
x = 19x + 1 = 20