Answers
Related Questions
Find the balance after 8 years
Answers
But because it is 8 years:
3000+0.24(3000)
We can make it simpler:
1.24(3000)
3720
Your balance will be $3720
Which equation is NOT true?
A. 15x + 55 = 6x + 4x
B. 15x + 55 = 26x
C. 25x + 55 = 180
D. m ∠S = 6x + 4x
Answers
Answer:
C
Step-by-step explanation:
Answer:
A. 15x + 55 = 6x + 4x
Step-by-step explanation:
Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.
Challenger Elementary School has 8 0 0 800800 students. Every Wednesday, 1 2 % 12%12, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answers
To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)
12% of 800 =
= 12% * 800
= 0.12 * 800
= 96
Answer: 96 students
Which image of figure WXYZ is under the composition T 2,7 . D 0,2?
A.figure A
B. figure B
C.figure C
D.figure D
Answers
Answer:
A. Figure A
Step-by-step explanation:
We are given the figure WXYZ.
It is required to find the final figure after [tex]T_{2,7}D_{0,2}[/tex].
Now, [tex]D_{0,2}[/tex] means to dilate the figure by 2 units and [tex]T_{2,7}[/tex] means to translate it by 2 units to the left/right and seven units up/down.
As we have to apply [tex]T_{2,7}D_{0,2}[/tex] to the figure.
This means that first dilation is applied and then translation.
Since, the all the figures are dilated. We focus on the translations.
We can see that, only figure A is translated 2 units to the right and 7 units upwards.
So, option A is correct.
Given the following functions f(x) and g(x), solve f over g(−4) and select the correct answer below:
f(x) = 4x − 4
g(x) = x − 1
Answers
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5 = 4
4 should be your answer
hope this helpsClick to let others know, how helpful is it
The width of a rectangular poster is 16 in its length is twice its width find the perimeter
Answers
width = y
y = 16
x = 2y
x = 2(16)
x = 32
perimeter = 2x + 2y
= 2(32) + 2(16)
= 64 + 32
= 96
ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS? The diagonals are ⊥ to each other. Opposite sides are | |. The diagonals bisect each other. All sides are congruent.
Answers
Assuming that E is the point where the diagonals intersect (since we are not told in the question), then AEB ≅ DEC.
By SAS,
2 sides are equal. That is AE = EC and DE = EB.
The triangles share a common angle. That is <DEC=<AEB
The property used the diagonals bisect each other.
In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population fall below 1,200,000?
a. 2024
b. 2027
c. 2036
d. 2049
Answers
The correct answer is: a. The population will fall below 1,200,000 around the year 2024.
To determine when the city's population will fall below 1,200,000, we need to use the formula for exponential decay:
[tex]P(t) = P_0 \cdot (1 - r)^t[/tex]
where:
- P(t) is the population at time t .
- P₀ is the initial population.
- r is the rate of decrease (expressed as a decimal).
- t is the number of years.
Given:
- Initial population, P₀ = 1,405,233
- Rate of decrease, r = 1.1% = 0.011
- Final population, P(t) = 1,200,000
We need to find t such that:
[tex]1,200,000 = 1,405,233 \cdot (1 - 0.011)^t[/tex]
First, we divide both sides by 1,405,233:
[tex]\frac{1,200,000}{1,405,233} = (0.989)^t[/tex]
Next, we calculate the left-hand side:
[tex]\frac{1,200,000}{1,405,233} \approx 0.854[/tex]
So we have:
[tex]0.854 = (0.989)^t[/tex]
To solve for t , we take the natural logarithm of both sides:
[tex]\ln(0.854) = \ln((0.989)^t)[/tex]
Using the properties of logarithms, we can bring down the exponent:
[tex]\ln(0.854) = t \cdot \ln(0.989)[/tex]
Now, solve for t :
[tex]t = \frac{\ln(0.854)}{\ln(0.989)}[/tex]
Let's calculate this:
[tex]\ln(0.854) \approx -0.157 \\\\ \ln(0.989) \approx -0.011 \\\\ t = \frac{-0.157}{-0.011} \approx 14.27[/tex]
Since 14.27 years from 2010 is approximately in 2024:
[tex]2010 + 14.27 \approx 2024[/tex]
So the population will fall below 1,200,000 around the year 2024.
The correct answer is: a. 2024
Which ordered pair is a solution of y = x + 12?
(24, 12)
(9, 21)
(–12, –24)
(0, –12)
Answers
Choosing a 4-letter password using only 5 letters that may each be used more than once. How do you do this??
Answers
Solve the system of equations -4x + 3y = -2 y = x - 1
Answers
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)
The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.
What is the solution to the system of equations?Given the system of equations in the question:
-4x + 3y = -2
y = x - 1
Solve the system of equations by substituting the expression for y from the second equation into the first equation:
-4x + 3y = -2
Plug in y = x - 1:
-4x + 3( x - 1 ) = -2
Simplifying, we get:
-4x + 3x - 3 = -2
Solve for x:
-x = -2 + 3
-x = 1
x = -1
Now, plug x = -1 into equation 2 and solve for y:
y = x - 1
y = -1 - 1
y = -2
Therefore, the solution is x = -1 and y = -2.
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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
Answers
[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]
[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]
Explain the process of solving the following equation: 4^x - 2 = 20
Answers
Next, take the logarithm (natural or common log) of both sides. We get:
log 22
x log 4 = log 22. Then x = ----------- (answer). You could, of course, evaluate
log 4 this on a suitable calculator.
[tex]4^x-2=20\\ \Rightarrow\ 4^x=22\\ \Rightarrow\ x*ln(4)=ln(22)\\ \Rightarrow\ x= \dfrac{ln(22)}{ln(4)}\\\\ \Rightarrow\ \boxed{ x=2,2297158...\approx{2.23}} [/tex]
ln means natural log (neper's log)
A helicopter hovers 950 over......
Answers
tan 44 = d/950
0.01770469927 (I used a calculator to solve tan 44, so let's just use to the nearest hundredth)
0.02 = d/950
100d = 1900
isolate d:
d = 19
19 feet
You have to assume that P is on the coast.
You also have to assume that d and the horizontal dotted line defining the 46 degrees are parallel.
Givens
The angle of depression = 46 degrees
The height of the helicopter = 950 feet.
Formula
height helicopter / d = Tan(46)
The thing is that the angle of elevation from P forms an angle with the angle of depression that made 2 alternate interior angles which are equal when two parallel lines and a traversal are given.
The line connecting P and the helicopter is the traversal.
Solution
height of helicopter = 950
d = ??
angle = 46o
Tan(46) = 950/d
d = 950 / tan(46)
d = 950 / 1.03553
d = 917 feet from the island to P <<<<<< answer
Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided
Answers
Sine (A) / a = Sine (B) / b
Substituting values we have:
Sine (23) / 5 = Sine (B) / 11
Clearing we have:
(Sine (23) / 5) * (11) = Sine (B)
B = Asine ((Sine (23) / 5) * (11))
B = 59.27 degrees
Rounding off we have:
B = 59.3 degrees
Answer:
C. 59.3 °
Which answer best describes the shape of this distribution?
Answers
i believe im am not 100% sure tho
which of the following equations can be used to solve for the radius
Answers
r = sqrt(A/pi)
I really need this answer to be correct
Answers
if
11,15,21,22,23,27,30 before 22 is the median
if
11,15,21,22,23,27,30 after 22 is still the median
The median is unchanged
Below are the heights of the players on the University of Maryland women's basketball team for the 2017-2018 season and the heights of the players on the women's field hockey team for the 2018 season.
Note: it is typical for a women's field hockey team to have more players than a women's basketball team would.
Field Hockey Player Heights (inches) Basketball Player Heights (inches)
Field Hockey Player Heights (inches) Field Hockey Player Heights (inches) Field Hockey Player Heights (inches) Field Hockey Player Heights (inches) Basketball Player Heights (inches)
66 in. 60 in. 67 in. 68 in. 75 in. 72 in.
68 in. 64 in. 63 in. 63 in. 72 in. 74 in.
67 in. 69 in. 66 in. 66 in. 68 in. 75 in.
65 in. 64 in. 65 in. 70 in. 73 in.
66 in. 68 in. 66 in. 68 in. 72 in.
60 in. 66 in. 65 in. 69 in.
64 in. 66 in. 67 in. 72 in.
1. Field Hockey Players:
Find the Measures of Center and Variability for Field Hockey Players Heights.
Mean (Round to Nearest Whole Number):
Mode:
Median:
Range:
2. Basketball Players:
Find the Measures of Center and Variability for Basketball Players Heights.
Mean (Round to Nearest Whole Number):
Mode:
Median:
Range:
3. a. How many of the 10 basketball players are shorter than the tallest field hockey player?
b. List the heights that overlap in the dot plot?
Answers
Answer:
for the first and second questions the answers are
Field hockey players basketball players
mean:66 mean:72
mode:66 mode:72
median: 66 median:72
range:10 range:7
Step-by-step explanation:
1. For the Field Hockey Players
The mean height is 68 inches, the mode is 66 inches, the median is 66 inches, and the range is 15 inches.
2. For the Basketball Players:
The mean is approximately 67 inches, the median is 67 inches, the modes are 63 inches and 72 inches, and the range of the heights is 11 inches
3. All 10 basketball players are shorter than the tallest field hockey player.
3b. the overlapping heights are: 60 in., 64 in., 65 in., 66 in., 67 in., 68 in., 69 in., 72 in., and 74 in.
How to find the measures of center and variability
Field Hockey Players:
The data is sort as follows
60, 60, 64, 64, 65, 65, 65, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 68, 68, 68, 68, 69, 69, 70, 72, 72, 72, 73, 75, 75.
Now let's calculate the measures of center and variability:
Mean (Average): Add up all the heights and divide by the total number of heights. We then round the answer to the nearest whole number.
Mean
= (60 + 60 + 64 + 64 + 65 + 65 + 65 + 66 + 66 + 66 + 66 + 66 + 66 + 66 + 67 + 67 + 67 + 68 + 68 + 68 + 68 + 69 + 69 + 70 + 72 + 72 + 72 + 73 + 75 + 75) / 30
= 2040 / 30
= 68 inches (rounded to the nearest whole number).
Mode: This is the height that occurs most frequently.
From the sorted list, we can see that 66 inches appears 8 times, which is more than any other height, so Mode = 66 inches.
Median: This is the middle height when all the heights are listed in ascending order. If there is an even number of heights, as in this case, the median is the average of the two middle heights.
Here, the 15th and 16th heights are both 66 inches, so Median = (66 + 66) / 2 = 66 inches.
Range: This is the difference between the tallest (maximum) and shortest (minimum) players.
Range = Maximum - Minimum = 75 inches - 60 inches = 15 inches.
So, for the field hockey players, the mean height is 68 inches, the mode is 66 inches, the median is 66 inches, and the range is 15 inches.
Basketball Player Heights
The data is sort as follows
63, 63, 64, 64, 66, 67, 68, 72, 72, 74.
Mean (Average): The mean is calculated by adding all the numbers together and then dividing by the number of numbers.
Mean
= (63 + 63 + 64 + 64 + 66 + 67 + 68 + 72 + 72 + 74) / 10
= 673 / 10
= 67.3 inches.
Median: The median is the middle number in a sorted, ascending list. If there are an even number of observations, the median is the average of the two middle numbers.
In our list, since we have 10 numbers, an even number, the median is the average of the 5th and 6th numbers.
Median = (66 + 67) / 2 = 66.5 inches.
Mode: The mode is the number that appears most frequently in a data set.
From our list, we can see that the numbers 63 and 72 both appear the most (2 times each). So, this data set has two modes: 63 inches and 72 inches.
The range is calculated by subtracting the smallest number in a set from the largest number.
In your data set, the smallest number (the minimum) is 63 inches and the largest number (the maximum) is 74 inches.
So, Range = Maximum - Minimum = 74 - 63 = 11 inches.
So, for this data set, the mean is approximately 67.3 inches, the median is 66.5 inches, the modes are 63 inches and 72 inches, and the range of the heights is 11 inches.
3. First, let's identify the tallest field hockey player. Considering all heights given for field hockey players, the tallest field hockey player is 75 inches.
Now, let's look at the basketball player heights. We have 10 basketball player heights in total: 68 in., 64 in., 63 in., 63 in., 72 in., 74 in., 60 in., 66 in., 65 in., and 69 in.
From this, we can see that all 10 basketball players are shorter than 75 inches. So, all 10 basketball players are shorter than the tallest field hockey player.
3b. The overlapping heights are those that appear in both basketball and field hockey teams. Looking at both sets, the overlapping heights are: 60 in., 64 in., 65 in., 66 in., 67 in., 68 in., 69 in., 72 in., and 74 in.
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For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 7 3 π meters? A) 35° B) 50° C) 70° D) 140°
Answers
S = R * Theta
Where,
R: radio
Theta: central angle
Substituting values we have:
(7/3) π = (6/2) * Theta
Clearing the angle we have:
Theta = (7/9) π
Rewriting the angle in degrees:
Theta = (7/9) π * (180 / π)
Theta = 140 degrees
Answer:
The measurement of a central angle (in degrees) is:
Theta = 140 degrees
D) 140 °
Answer:
the answer is (D)
Step-by-step explanation:
Someone please help me?
Answers
x+3 *3 = 6*x-2
simplify:
3x+9 = 6x-12
subtract 3x from each side
9 = 3x -12
add 12 to each side
21 = 3x
divide both sides by 3
x = 21/3
x = 7
replace x with 7 to find EB
EB = 7+3 = 10 cm
the bottle of water contains 32 fluid ounces of water. How many cups of water are in a bottle.
Answers
Divide 32 by 8 = 4.
There are 4 cups of water in a bottle.
There are 4 cups of water in a bottle containing 32 fluid ounces.
We have,
The number of cups in a bottle of water depends on the conversion rate from fluid ounces to cups.
1 cup is equivalent to 8 fluid ounces.
To find the number of cups in a bottle containing 32 fluid ounces of water, we can divide the total number of fluid ounces by the conversion rate:
So,
= 32 fluid ounces / 8 fluid ounces per cup
= 4 cups
Therefore,
There are 4 cups of water in a bottle containing 32 fluid ounces.
Learn more about unit conversion here:
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Please help due tomorrow! Math
Answers
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5
Find the slope of the line on the graph
Answers
(-4,0) and (0,3)
slope = change in y / change in x
slope = 3-0 / 0 - -4
slope = 3/4
For bananas are to be selected from a group of seven in how many ways can this be done
Answers
Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2
Answers
[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]
[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]
Answer:
25
Step-by-step explanation:
Huixian needs to pack 171 pens 63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among gift bags.find the largest number of gift bags can be packed
Answers
I will show this by listing the prime factorization's for each number, and then we will look for all the common factors.
171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3
All three lists share two 3s. The means that the biggest way they could be divided is into nine bags (3 x 3).
Answer:
The largest number of gift bags that can be packed is:
9
Step-by-step explanation:
To find The largest number of gift bags that can be packed, we need to find the greatest common divisor of these numbers.
Listing the prime factorization's for each number:
171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3
As we can clearly see from the prime factorization the greatest common factor of these numbers is 9(3×3)
The largest number of gift bags that can be packed is:
9
Solve this application using logarithms.
How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a year.
Answers
Answer:
14.21
Step-by-step explanation:
What is the value of x
Answers
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:
[tex]x / 15 = 5/12 [/tex]
Clearing x we have:
[tex]x = (5/12) * (15) x = 6.25[/tex]
Answer:
The value of x is given by:
x = 6.25
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answers
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³
weight per cubic volume=0.33 pound per cubic ft
Total weight=354.375×0.33=116.94375 pounds~117 pounds
The weight of the contents in the container, to the nearest pound, is 117 pounds.
To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.
Step 1: Calculate the volume of the container.
Volume = length × width × height
Volume = 13.5 ft × 10.5 ft × 2.5 ft
Volume = 354.375 cubic feet
Step 2: Calculate the weight of the contents.
Weight = Volume × Weight per cubic foot
Weight = 354.375 cubic feet × 0.33 pounds per cubic foot
Weight ≈ 116.8725 pounds
Rounded to the nearest pound, the weight of the contents is 117 pounds.
First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.
Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.
Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.
Complete question:
A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?