Answer:
13/40
Step-by-step explanation:
Rewrite a percentage as a decimal: [tex]\frac{32.5}{100}[/tex]
Convert decimals to integers: [tex]\frac{325}{100}[/tex]
Reduce the fraction: [tex]\frac{13}{40}[/tex]
Answer: [tex]\frac{13}{40}[/tex]
32.5% as a fraction in simplest form is 13/40.
Here we have to find fractional form of 35 percent
Since we knw that,
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
To convert a percentage to a fraction,
we can simply write it as a fraction with a denominator of 100.
Then,
we simplify the resulting fraction to its simplest form.
For 32.5%,
we can write this as,
⇒ 32.5/100
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of 32.5 and 100 is 12.5,
so we can divide both by 12.5,
⇒ 32.5/100 = (32.5 ÷ 12.5) / (100 ÷ 12.5)
= 13/40
Therefore, 32.5% as a fraction in simplest form is 13/40.
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Given: -2x^(2)-3x+4=0, use the quadratic formula to solve for the roots
The roots of the quadratic equations are -4 and -1
How to determine the roots-2x^(2)-3x+4=0
Expand the equation first
[tex]-2(x^2 - 3x + 4) = 0[/tex]
Find two factor that are multiples of -8 and sum up to give -3, the facors are -4 and -1
Replace -3x with 4x and -x
[tex]-2(x^2 -4x + x + 4) = 0[/tex]
Factorize the equation
[tex]-2 (x (x + 4) + 1 (x + 4)[/tex]
We have
2(x + 1) = 0 and 2(x+ 4) = 0
2(x + 1) = 0
2x + 2 = 0
x = -1
2(x+ 4) = 0
2x + 8 = 0
x = -8/2
x = -4
Therefore, the roots of the quadratic equations are -4 and -1
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What is the value of x if e³x+6 - 87
QUESTION 4
.
1 POINT
The sum of eight times a number and four is ninety-two. Find the number.
Provide your answer below:
Answer:
The missing number is 11
Step-by-step explanation:
Step-by-step explanation:
x is the number
8x + 4 = 92 (8 times the number plus 4 is 92).
8x = 88
x = 11
the number is 11.
Find data on the increase in consumer credit card debt in the U.S.A. Based on your findings, do you think the extent of the consumer debt is (a) a crisis, (b) a significant occurrence but nothing to worry about or (c)a good thing?
Justify your conclusion.
Increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.
What is Consumer Credit Card Debt ?
It is the debt which has been accumulated due to the consumers buying products and services out of the credit card and not paying them back in the period of 90 days.
In USA , the credit card balance is $841 billion in the first quarter of 2022 , which is $15 billion less form the last year but at a significant peak.
This extent of the consumer debt is a debt crisis.
The debt on the bank increases as the debt on the consumer increases , causing in bank recession and a recession brings harm to the economy , It is a crisis situation and need to be handled before it affects the market.
Therefore increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.
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Use the function below to find F(-4)
F(x) = 2^x
Answer:
1/16
Step-by-step explanation:
F(-4) = 2^-4
= 1/(2^4) = 1/16
Do you know the answer to 8+(10-4)-3*2 and how to solve it?
Answer:
8
Step-by-step explanation:
10 minus 4 goes first because of BODMAS so thats 6
then 3 times 2 because again bodmas to thats 6
so then its 8 + 6 - 6
can be done in any order not affected by bodmas
6-6 cancels out so the answer is 8
comment if you want an in depth explanation on bodmas lol
pls help! i need an explanation and the steps that show how it’s solved too. tysm!
Answer:
true
Step-by-step explanation:
6(6(13x-2)
36(13x-2)
468x-72
please mark brainliest :D
Answer:
True
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x-7\\g(x)=13x-2\\h(x)=6x\end{cases}[/tex]
[tex]h(h(g(x)))[/tex] is a composite function.
Composite functions are when the output of one function is used as the input of another.
Therefore, the given composite function means to substitute the function g(x) in place of the x in function h(x), then substitute this in place of the x in function h(x).
Step 1
Substitute the function g(x) in place of the x in function h(x):
[tex]\begin{aligned}h(x) & = 6x\\\implies h(g(x)) & =6(g(x))\\& = 6(13x-2)\\ & = 78x-12\\\end{aligned}[/tex]
Step 2
Now substitute the above in place of the x in function h(x):
[tex]\begin{aligned}h(x) & = 6x\\\implies h \left(h(g(x))\right) & =6(h(g(x)))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]
Therefore, the statement is true.
To carry out the composite function in one step:
[tex]\begin{aligned}h(x) &=6x\\\implies h(h(g(x))) & = 6\:(h(g(x)))\\& = 6(6(g(x)))\\& = 6( 6(13x-2))\\& = 6(78x-12)\\& = 468x-72\end{aligned}[/tex]
The data below represents the relationship between the number of incidences of UFO sightings in late 1930s and early 1940s. Draw a scatter plot for the data.
Year of Incidence
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
Number of Incidences (percent)
0.9
0.8
0.8
1.3
1.4
1.2
1.7
1.8
1.6
1.5
1.5
a.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
c.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5).
b.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 1.7), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
d.
A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
The description of graph of the data about relationship of UFO sightings in late 1930s and early 1940s will be :A graph has years of incidence on the x-axis from 1932 to 1948, and incidence on the y-axis, from 0 to 10. Points are around (1936, 0.9), (1937, 0.8), (1938, 0.8), (1939, 1.3), (1940, 1.4), (1941, 1.2), (1942, 1.7), (1943, 1.8), (1944, 1.6), (1945, 1.5), (1946, 1.5).
Given:
Year of incidence percent
1936 0.9
1937 0.8
1938 0.8
1939 1.3
1940 1.4
1941 1.2
1942 1.7
1943 1.8
1944 1.6
1945 1.5
1946 1.5
We have been given the percentages of different years. The points will be (1936,0.9) , (1937,0.8) , (1938,0.8) , (1939,1.3) , (1940,1.4) , (1941,1.2) , (1942,1.7), (1943,1.8) , (1944,1.6) , (1945,1.5) , (1946,1.5).
We have to just plot the points on the graph to find scatter plot. It is called scatter plot as the points are not in line but they are scattered.
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if anyone knows how to answer this do so pleass
Answer:
x = 4.08
Step-by-step explanation:
As we now, from Trigonometric Identities
that [tex]tan(\alpha )=\frac{Opposite}{Adjacent}[/tex]So for our Problem , [tex]\alpha =27[/tex] , [tex]Opposite=x[/tex] , [tex]Adjacent = 8[/tex]
by substituting , then [tex]tan(27)=\frac{x}{8}[/tex]
by multiplying both sides by 8 , then [tex]x=8tan(27)=4.0762=4.08[/tex]
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the equation Vh=500(1.025)^t , where Vh is the value of the account after t years. Andres begins a savings account three years later with the same initial amount of money at the same interest rate. Which equations represent the value of Andres’s account after t years?
A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t
B) Va=500(1.025)^t+3 and Va=538.45(1.025)^t
C)Va=500(1.025)^t-3 and Va=538.45(1.025)^t
D)Va=500(1.025)^t+3 and Va=464.30(1.025)^t
The exponential function that represents the value of Andres’s account after t years is:
A) Va=500(1.025)^t-3 and Va=464.30(1.025)^t
What is the equation for the value of Andres's account?For Henry, it is given by:
[tex]Vh = 500(1.025)^t[/tex]
Andres starts 3 years later than Henry, hence the equation is:
[tex]Va = 500(1.025)^{t - 3}[/tex]
Applying an exponential simplification, we have that:
[tex]Va = 500\frac{1.025^t}{1.025^3} = 464.3(1.025)^t[/tex]
Hence option A is correct.
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Select the correct answer.
Here's another plant stand. It has 2 rows, each holding 4 plants. Suppose this plant stand is turned upright.
Choose the number sentence that represents the plants on the upright plant stand.
8 × 1 = 8
4 × 2 = 8
2 × 2 = 4
4 × 4 = 16
The number sentence that gives the best representation of the plants on the upright stand is 8 × 1 = 8.
How to solve for the plant on the upright stand.Given that the plant is said to be upright, then the number of row would be seen as 1.
The rows of the plants are made up of 2 and the plants in them are said to be 4. Hence we would have 4 x 2 = 8
From here we would conclude that 8 × 1 = 8 is the plants on the upright stand.
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The current salaries in Sasha’s department are $42,000, $32,000, $33,000, $38,000, and $50,000. Sasha wants to adjust the lowest salary up to $40,000. If Sasha gives every employee a $1,000 raise in addition to adjusting the lowest salary, Find the total cost for the increment?
The total cost for the increment is $13,000.
What is the total cost for the increment?There are 5 employee's in Sasha's department. The total amount of increment is $5000. (5 x $1000).
The lowest salary is 32,000. If it is increased to $40,000. The total cost of the increment is $8000 (40,000 - 32,000)
Total cost of the increment = $8000 + $5000 = $13,000
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Word problem involving conversion between compound units...
A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Assume that the conversion is 1 rand to 0.074 dollars. What is the
consultant's salary in dollars per month?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side o
the equation.
Ratios:
1 rand
0.074 dollars
1,570,000 rand
1 yr
0.074 dollars
1 rand
1 yr
12 mo
0
0
I need help with this math problem.
Using proportions, it is found that the consultant's salary in dollars per month is of $9,681.67.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
A business based in South Africa pays a consultant in the U.S. 1,570,000 rand per year. Considering the conversion rate, his salary in dollars per year is given as follows:
S = 1570000 x 0.074 = $116,180.
Since a year has 12 months, his salary in dollars per month is given by:
Sm = $116,180/12 = $9,681.67.
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The area of the parallelogram below is ____ square meters. A parallelogram with height labeled with 7 meters. The top horizontal side is labeled 6 meters. The base of the left triangle formed by the height is 2 meters. Numerical Answers Expected
The area of the parallelogram in the image given is: 42 m².
What is the Area of a Parallelogram?Area of a parallelogram = base × height
Given the parameters:
Base = 6 metersHeight = 7 metersArea of the parallelogram = (6)(7)
Area of the parallelogram = 42 m²
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Which linear inequality is represented by the graph?
Answer:
y>2/3+3
Step-by-step explanation:
Answer:
y<2/3x+3
Step-by-step explanation:
1. Find the slope, the slope is 2/3
2. Find the y-intercept, the y intercept is 3
3. Make an linear equation out of it, y=2/3x+3
4. Dotted or solid? Its dotted which means the answer has to be greater or less than, not equal or less than or equal or greater than
5. Test you have 2 answer choices y<2/3x+3 or y>2/3x+3, input the origin (0,0)
0<2/3(0)+3, 0<3 which is true
0>2/3(0)+3 0>3 which is false
So y<2/3x+3 is the right answer. :)
What fraction of this shape is shaded?
Time
Running
Give your answer in its simplest form.
You are 22 years old and are starting a savings plan and will deposit $200 every 2 months until you retire. The account will give you 7% interest. How much do you expect your account to be worth when you retire at 67 years old?
Answer:
Formulae can be searched for confirmation : compounding interest with regular payments
Step-by-step explanation:
Calculations do it by yourself
Answer:
clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him
Which table matches the graph below
The table that matches the graph shown is the second table.
How to depict the table?It should be noted that in the graph, there's a quadratic equation. The form is given as ax² + bx + c.
When x = 0, y = 2. When x = 1, y is a number between 3 and 4. In the second table x we have y(1) = 7/2. This is in the range.
The graph is attached.
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En la feria el juego de gusano da 5 vueltas y equivale a 150 metros, calcula a cuento equivale lo siguiente: 8/4 de vuelta =_____3 4/6 de vuelta =_____1 4/6 de vuelta= _____3/4 de vuelta= ___4/6 de vuelta= ____7/9 de vuelta =___
las ecuaciones con fracciones dan:
8/4 de vuelta = 60m(3 + 4/6) de vuelta = 110m4/6 de vuelta = 20m3/4 de vuelta = 22.5m7/9 de vuelta= 23.33 m¿Cuanto vale cada una de las expresiones?Sabemos que 5 vueltas es igual a 150 metros, entonces cada vuelta es equivalente a:
v = 150m/5 = 30m
Es decir, cada vuelta equivale a 30 metros.
Ahora simplemente podemos resolver las ecuaciones con fracciones:
8/4 de vuelta = (8/4)*30m = 60m(3 + 4/6) de vuelta = (3 + 4/6)*30m = 110m4/6 de vuelta = (4/6)*30m = 20m3/4 de vuelta = (3/4)*30m = 22.5m7/9 de vuelta = (7/9)*30m = 23.33 mSi quieres aprender más sobre fracciones:
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Simplify the expression: 2 * | 12 - 14 | =
[tex]2 \times |12-14|=2 \times |-2| =2\times 2=\boxed{4}[/tex]
!!HELP!! PLEASE I NEED THIS DONE IN AN HOUR IF ANYONE CAN HELP
Answer:
the 1st answer is x = 5, the 2nd answer is x = 7, the 3rd answer is x = 4, the 4th answer is: x = 4, the 5th answer is the exact form: x = - 1/3 but the decimal form is: x = - 0.3, the 6th answer is x = 3.
Brainliest?
The price of an item has been reduced by 85%. The original price was $33.
Answer:
4.95
Step-by-step explanation:
85% of 33 = 28.5
33 - 28.5 = 4.5
The volume of a fish tank is 50 cubic feet. if the density is 0.2 fish over feet cubed, how many fish are in the tank? 5 10 125 250
Answer: 10
Step-by-step explanation:
I just took the test!! :)
If 12 +22+ 32 +
+ 5122
= m, then 22 +42 +62+ 10242 is
equal to:
4m
2m
3m
M2
M4
Answer:
m2
Step-by-step explanation:
the 2nd equation is double the first one and the first one is 1
Find the coordinates of the circumcenter of DEF.
11. D (6,0), E (0,6), F (-6,0)
12. D (0,0) E (6,0), F (0,4)
In order to determine the coordinates of the circumcenter of triangle DEF with the given vertices, let its circumcenter be P(x, y). Hence, PD = PE = PF.
By squaring all sides of triangle DEF, we have:
PD² = PE² = PF²
From PD² = PE², we have:
(x - 6)² + (y - 0)² = (x - 0)² + (y - 6)²
x² - 12x + 36 + y² = x² + y² - 12y + 36
-12x + 12y = 0 ..........equation 1.
From PE² = PF², we have:
(x - 0)² + (y - 6)² = (x - (-6))² + (y - 0)²
x² + y² - 12y + 36 = (x + 6)² + y²
x² + y² - 12y + 36 = x² + 12x + 36 + y²
-12x - 12y = 0 ..........equation 2.
Solving eqn. 1 and eqn. 2 simultaneously, we have:
x = 0 and y = 0.
Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (0, 0).
At D (0,0) E (6,0), F (0,4).From PD² = PE², we have:
(x - 0)² + (y - 0)² = (x - 6)² + (y - 0)²
x² + y² = x² - 12y + 36 + y²
12y = 36
y = 3.
From PE² = PF², we have:
(x - 6)² + (y - 0)² = (x - 0)² + (y - 4)²
x² - 12x + 36 + y² = x² + y² - 8y + 16
-12x - 8y = -20
-12x - 8(3) = -20
-12x - 24 = -20
12x = -4
x = -1/3.
Therefore, the coordinates of the circumcenter of triangle DEF with the given vertices are (-1/3, 3).
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A landscaping company is hired to mow the grass for several large properties. The total area of the properties combined is 1,345 acres. The rate at which one person can mow is as follows:
ŷ = 1350 – 1.2x where x is the number of hours and ŷ represents the number of acres left to mow.
How many acres will be left to mow after 20 hours of work?
How many acres will be left to mow after 100 hours of work?
How many hours will it take to mow all of the lawns? (When is ŷ = 0?)
Using the given linear function, we have that:
After 20 hours, 1326 acres will be left to mow.After 100 hours, 1230 acres will be left to mow.It will take 1125 hours to mow all the lawns.What is the linear function?
The linear function for the number of acres left to mow after x hours is given as follows:
y = 1350 - 1.2x.
After 20 hours, the number acres is given as follows:
y = 1350 - 1.2(20) = 1326.
After 100 hours, the number acres is given as follows:
y = 1350 - 1.2(100) = 1230.
The time it takes to mow all the lawns is given by:
1350 - 1.2x = 0.
1.2x = 1350
x = 1350/1.2
x = 1125 hours
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the cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. on a piece of paper graph c(x) =2x + 3.00. then determine which answer matches the graph you drew, including the correct axis
A function assigns the values. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete options of the question are mentioned in the below image.
The cost cost c(x) for a taxi ride is given by c(x) =2x + 3.00, where x is the number of minutes. Therefore, the graph of the equation can be drawn as shown below.
Hence, the correct option is D.
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using this diagram, find x and y
Answer:
x=13
y=11
Step-by-step explanation:
3y+5+52=90
3y=90-57
3y=33
y=33/3=11
4x=52
x=52/4=13
3y+5 and 52 are complementary
3y+5+52=903y+57=903(y+19)=90y+19=30y=11Apply angle sum property
4x+3(11)+5+90=1804x+33+5=904x+38=904x=52x=13If the cost of 5m of cloth is Rs 375,find the cost of 80m of cloth
Step-by-step explanation:
If the cost of 5m cloth is Rs.375
Then cost of 80m cloth is (80m× Rs 375)÷ 5m
then the cost of is 6000 Rs. you can use the criss cross method
5m = 375 Rs
80m = ?
80 × 375 = (30,000) ÷5
?= 6000
A boat is heading towards a lighthouse, whose beacon-light is 148 feet above
the water. The boat's crew measures the angle of elevation to the beacon, 8°.
What is the ship's horizontal distance from the lighthouse (and the shore)?
Round your answer to the nearest hundredth of a foot if necessary.
Answer:
feet
Submit Answer
attempt 1 out of 2 / problem 2 out of max 4
Answer:
x = 1053.07 ft
Step-by-step explanation:
So if you look at the diagram I drew it might become a bit more apparent what you have to do. For this problem you'll need to use one of the six trigonometric functions. In this case you know the angle and the opposite side of the angle, and you need the adjacent side. The trigonometric function tan is defined as [tex]\frac{oppposite}{adjacent}[/tex]. So let's plug in the known values:
[tex]tan(8) = \frac{148}{x}[/tex]
multiply both sides by x
[tex]tan(8) * x = 148[/tex]
Divide both sides by tan(8)
[tex]x=\frac{148}{tan(8)}[/tex]
Calculating tan of 8 degrees using a calculator
[tex]x=\frac{148}{0.141}[/tex]
Simplify
x = 1053.07 ft