Answer:
x=5
Step-by-step explanation:
(1/81)^x=(243)^x-9
(1/3^4)=3^5(x-9)
3^-4x=3^5(x-9)
-4x=5(x-9)
-4x=5x-45
-4x-5x=-45
-9x=-45
x=5
y = 5x – 6
Identify the y-intercept of the
following equation.
Answer:-6
Step-by-step explanation:
Answer:
ez
Step-by-step explanation:
6 negative
You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below.
If we take outcomes 2,4,5, and 7 as a subset of the sample space, which of the statements below describe this subset?
its a tie.
Step-by-step explanation:
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
math question screen shot down below
What is the range of the relation?
[(-4,3), (-4,4), (-3,1), (1,1)]
A)
{-4,-4, -3, 1}
B)
{-4, -3, 1}
C)
{1, 1, 3, 4}
D)
{1, 3, 4}
100 points!
The following data shows the weight, in pounds, of 6 boxes:
5, 3, 3, 4, 5, 4
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds
B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds
D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Answer:
The answer is D. Let me know if you don't understand that.
Step-by-step explanation:
Hi!
To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.
5 + 3 + 3 + 4 + 5 + 4 = 24
24/6 = 4
Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.
5 - 4 = 1
3 - 4 = 1
3 - 4 = 1
4 - 4 = 0
5 - 4 = 1
4 - 4 = 0
Now find the mean of those numbers.
1 + 1 + 1 + 0 + 1 + 0 = 4
4/6 = 0.7
So now we know the answer is either B or D.
B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Hope this helps! :)
-Peredhel
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the mean absolute deviation, we first need to find the mean weight of the boxes:
Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds
Next,
We calculate the absolute deviations from the mean for each weight:
So,
|5-4| = 1
|3-4| = 1
|3-4| = 1
|4-4| = 0
|5-4| = 1
|4-4| = 0
Then,
We find the mean of the absolute deviations:
(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7
This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.
Therefore,
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).
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A school in New Zealand collected data about the employment status of the mother and father in two-parent families. The two-way table of column relative frequencies below shows the data.
Father works full time Father works part time Father not working
Mother works full time
0.17
0.170, point, 17
0.14
0.140, point, 14
0.13
0.130, point, 13
Mother works part time
0.23
0.230, point, 23
0.14
0.140, point, 14
0.07
0.070, point, 07
Mother not working
0.60
0.600, point, 60
0.71
0.710, point, 71
0.80
0.800, point, 80
Column total
1.00
1.001, point, 00
1.00
1.001, point, 00
1.00
1.001, point, 00
Based on the data, which of the following statements must be true for the two-parent families at that school?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A family where the father works part time is twice as likely as a family where the father is not working to have the mother work part time.
(Choice B)
It is most common for neither parent to be working.
(Choice C)
C
Families where the father works full time are more likely to have the mother working full time than part time.
(Choice D)
D
There are twice as many families where the mother works full time and the father works part time as families where the mother works part time and the father doesn't work.
Answer:A
Step-by-step explanation: 14% of the mothers work part-time in families where the father works part-time while 7% of the mothers work part-time in families where the father is not working.
Probabilities are used to determine how likely or unlikely an event is. From the 2-column table, it is twice as likely to get a family where the father and the mother work part-time than a family where the father doesn't work, and the mother works part-time.
We use the following representation:
[tex]FF \to[/tex] Father works full-time
[tex]FP \to[/tex] Father works part-time
[tex]FW \to[/tex] Father not working
[tex]MF \to[/tex] Mother works full-time
[tex]MP \to[/tex] Mother works part-time
[tex]MW \to[/tex] Mother not working
Next, we test each of the 4 options, till one of the options is true (see attachment)
Choice A:
The claim in choice A is that:
[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]
From the given table, we have:
[tex]P(FP\ and\ MP) = 0.14[/tex] ---- father works part-time and mother works part-time
[tex]P(FW\ and\ MP) =0.07[/tex] ---- father not working and mother works part-time
Put the above values in the following equation
[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]
[tex]0.14 = 2 \times 0.07[/tex]
[tex]0.14 = 0.14[/tex]
The above equation is true.
Hence, choice (A) is true
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Which number has the greatest absolute value?
A. -20
B. 0
C. 10
Answer:
-20
Step-by-step explanation:
It is the farthest from 0.
Answer:
A. -20
Step-by-step explanation:
The absolute value means take the positive value
A. -20
abs(-20) = 20
B. 0
abs(0) = 0
C. 10
abs(10) = 10
20 is the largest value
The pilot of a helicopter sights a fire at an angle of depression of 11°.
The helicopter's altitude is 1700 feet.
To the nearest foot, what is the distance from the helicopter to the fire?
8909 ft
3204 ft
8746 ft
3300 ft
Answer:
The distance from the helicopter to the fire is 8909 feet.
Step-by-step explanation:
Refer the attached figure
The pilot of a helicopter sights a fire at an angle of depression of 11° i.e. [tex]\angle ACB = 11^{\circ}[/tex]
The helicopter's altitude is 1700 feet.i.e.AB = 1700 feet
We are supposed to find the distance from the helicopter to the fire i.e. AC
Using trigonometric ratios
[tex]Sin \theta = Perpendicular}{Hypotenuse}\\\\Sin 11^{\circ}=\frac{AB}{AC}\\\\Sin 11^{\circ}=\frac{1700}{AC}\\\\AC=\frac{1700}{Sin 11^{\circ}}\\\\AC=\frac{1700}{0.1908}\\\\AC=8909.85 feet[/tex]
Hence the distance from the helicopter to the fire is 8909 feet.
3(1−2)<33
I need answers ASAP
And could u explain how to do it if possible
I will give brainliest!,
Answer:
true
Step-by-step explanation:
3(1)+3(-2)
3+(-6)=-3
-3<33 is true
Select all that apply to the graph
Please help WILL MARK BRAINLIEST
Answer: I believe D is the correct answer.
Step-by-step explanation:
I just took the test. Hope this Helps!!! PLZ MARK BRAINLIEST!!!
Answer:
Multiply each GDP number by its country's population.
Step-by-step explanation:
The GDP depends on the higher or lower population.
The highest GDP and highest population product all help decide the living standards of the country.
After you have multiplied the countries' GDP by its population you compare.
Workers need to know the area of a park to determine how much grass seed to order. A worker drew a sketch of the park to find its area. Which is the area of the park?
The area of the figure is 1465 square m because the figure consists of squares and trapezoids.
What is a square?It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture that represents a sketch of the park.
Workers need to know the area of a park to determine how much grass seed to order.
The figure consists of squares and trapezoids.
The trapezoid can be defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The area of the figure = area of the square + area of the trapezoid
The area of the figure = 10×10 + (38 + 40)35/2
The area of the figure = 100 + (78×35)/2
The area of the figure = 100 + 1365
The area of the figure = 1465 square m
Thus, the area of the figure is 1465 square m because the figure consists of squares and trapezoids.
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Petrolyn motor is a combination of natural oil and synthetic oil. it contains 2 liters of natural oil for every 3 liters of synthetic oil. in order to make 475 liters of Petrolyn oil, how many liters of natural oil are needed?
Answer:
About 158 liters
Step-by-step explanation:
475 / 3 = 158.333...
i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21
[tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{12}{18}[/tex]
[tex]\frac{14}{21}[/tex]
I hope this helps :)
Answer:
2/3= 4/6= 12/18= 14/21
Step-by-step explanation:
2/3= __/6
you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6
To find 12/__
You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18
_/21
You times 2/3 by 7 because 3*7=21.
2*7=14
EASY MATH AND GET POINTS!
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9
a block of (1/3) x 1 x 1, has a volume of, just that product, namely 1/3.
a Unit Cube, has all sides of 1 unit, thus called the Unit cube, and has a volume of 1*1*1 = 1³ = 1.
so, how many times does the volume of 1/3 go into 1?
recall there are three thirds in a whole, so 1/3 + 1/3 + 1/3 = 1, 3 times
Answer:
Find the volumes and divide for the answer
1 x 1 x 1/3 = 1/3
1 x 1 x 1 = 1
1 / 1/3
1/1 x 3/1 = 3
3 blocks
Step-by-step explanation:
Giving Brainliest if correct!!
Adam bought a treadmill and a dirt bike from a sports equipment store for y dollars. He signed an installment agreement requiring an 8% down
payment and monthly payments of x dollars for 18 months. Which expression correctly represents Adam's finance charge?
A. 0.8y
B. 18y
C. 18x-0.92y
D. 18x-0.08y
E. 18y-0.92x
Answer:
D. 18x-0.08y
Step-by-step explanation:
He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y
The expression correctly represents Adam's finance charge is
C. 18x-0.92y.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From, The given information,
8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.
Therefore,
The phrase that accurately describes Adam's finance charge is,
y = 0.08y + 18x.
y - 0.08y = 18x.
0.92y = 18x.
18x - 0.92y = 0.
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Please tell me the answer quick
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Juanito looked out the window and saw 20 bicycles and skateboards. There were a total 52 wheels. How many of each did he see , steps ?
Answer:
Let's denote:
x: number of bicycles
y: number of skateboards
Then, we have:
x + y = 20
2x + 4y = 52
=> 2(20 - y) + 4y = 52
=> 2y = 12
=> y = 6 (number of skateboards)
=> x = 14(number of bicycles)
Hope this helps!
:)
What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8
Answer:
Step-by-step explanation:
+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where
[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]
So we write its equation: y = -3/5 x + b.
+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:
2 = -3/5 * (-2) + b or 2 = 6/5 + b
so b = 2 - 6/5 = 4/5.
And this line has its equation: y = -3/5 x + 4/5.
Mẹthod 2:
we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]
Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]
Then, we can write for this case:
[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]
P.S: You type wrongly the signs?
Help with this one!
Show steps pls
Answer:
$177.50
Step-by-step explanation:
Simple interest formula is i = p*r*t, where r is the interest rate as a decimal fraction.
Here, i = $71,000 * (0.01) * (3/12) = $177.50
What is the area of the shaded region? Round to the nearest whole
number.
Answer:
25 tomes 2 50 times 5 250
Step-by-step explanation:
Answer:
The shaded area is 475 yds²
Help!! QUICKLY!! LESS LOOKING MORE ANSWERING!!
Answer:
1/3
Step-by-step explanation:
To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.
That means, dividing the numerator and denominator by the same integer.
For example, in this case, we divided both the numerator and denominator by 6.
6/6=1
18/6=3
So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.
Answer: [tex]\frac{1}{3}[/tex]: D
Step-by-step explanation:
This is simple, just simplify the fraction.
[tex]\frac{6}{18}[/tex]
You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.
When you divide 6 by 6, you get 1.
When you divide 18 by 6, you get 3.
Therefore, your answer is [tex]\frac{1}{3}[/tex].
Hope this helps! :)
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
1. Simplify 5(x-2) - 3x + 4
a. 8x-5
b. 2x-5
C. -10x + 25
d. 2x - 6
Answer:
d. 2x-6 is the answer
a=b, b=x, c=2
=5x-5×2
=2x-6
A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945
Answer:190
Step-by-step explanation:
If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190
Which type of graph would you use to show the number of pages in each book on the bookshelf?
Answer:
stem and leaf plot
Step-by-step explanation:
:) trust
There are 2,010 Starbucks in California. The population of California is 38.8 million. Which of
the following best represents the Starbucks per capita in Scientific Notation?
1.93 x 104
5.18 x 10-4
51.8
5.18 x 10-5
Answer:
5.18x10-5 is the correct answer
Step-by-step explanation:
Scientific notations are used to represent relatively large and small numbers.
The population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]
The populations are given as:
[tex]Starbucks = 2010[/tex]
[tex]People = 38.8\ million[/tex]
The population of Starbucks per capita is calculated by dividing the population of Starbucks by the population of the people.
So, we have:
[tex]Per\ Capita = \frac{Starbucks}{People}[/tex]
Substitute known values
[tex]Per\ Capita = \frac{2010}{38.8\ million}[/tex]
Divide
[tex]Per\ Capita = 0.00005180412[/tex]
Approximate
[tex]Per\ Capita = 0.0000518[/tex]
Express as scientific notation
[tex]Per\ Capita = 5.18 \times 10^{-5}[/tex]
Hence, the population per capita is (d) [tex]5.18 \times 10^{-5}[/tex]
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Take a look at the square pyramid illustrated below. it is a picture of one of the
"Great Pyramids of Egypt." Calculate the total surface area of the Great Pyramid.
Show your work!
A. Surface Area of Great Pyramid = 1,831,583 square feet
B.Surface Area of Great Pyramid = 892,784 square feet
C. Surface Area of Great Pyramid = 1,297,956 square
feet
D. Surface Area of Great Pyramid = 545,672 square feet
Answer:
C. 1,297,956 square ft.
Step-by-step explanation:
480.6*755.9*1/2 (area of triangle)
4 triangles so the above x4
square base=755.9^2
add it all together to get 1,297,955.89 or about 1,297,956
