Answer:
The answer is sin inverse 3/4
Step-by-step explanation:
sinx⁰=BC/AB
sinx⁰=30/40
sinx⁰=3/4
x⁰ = sin^-1(3/4)
how much would $300 invested at 4% interest compounded monthly be worth after 8 years? round your answer to the nearest cent
Answer:
412.92
Step-by-step explanation:
\(A = P(1+\frac{r}{n} )^{nt}\)
A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years
We have P = 300
r = 4% = 0.04
n = 12 (compounded monthly)
t = 8
\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)
The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
Apply the distributive property to factor out the greatest common factor. 250 - 150x
Answer:
The greatest common factor is 50
Step-by-step explanation:
1.)250 - 150x
Then.....
2.) 50 (5 - 3x)
which means.....
The greatest common factor is 50
Answer:
50(5−3x)
Step-by-step explanation:
amara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes 180 times?
Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.
To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.
Let's examine the chart and count the number of times each sum occurs:
Sum: 2, Occurrences: 1
Sum: 3, Occurrences: 2
Sum: 4, Occurrences: 3
Sum: 5, Occurrences: 4
Sum: 6, Occurrences: 5
Sum: 7, Occurrences: 6
Sum: 8, Occurrences: 5
Sum: 9, Occurrences: 4
Sum: 10, Occurrences: 3
Sum: 11, Occurrences: 2
Sum: 12, Occurrences: 1
Now, let's calculate the probabilities of each sum occurring.
Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:
Probability of sum 2 = 1/36
Probability of sum 3 = 2/36
Probability of sum 4 = 3/36
Probability of sum 5 = 4/36
Probability of sum 6 = 5/36
Probability of sum 7 = 6/36
Probability of sum 8 = 5/36
Probability of sum 9 = 4/36
Probability of sum 10 = 3/36
Probability of sum 11 = 2/36
Probability of sum 12 = 1/36
To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.
For example, to find the expected number of times the sum is 7:
Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30
Similarly, we can calculate the expected occurrences for all other sums.
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It takes 54 pounds of seed to completely plant a 7-acre field
How many acres can be planted per pound of seed?
Answer:
The answer would be 7.7
Step-by-step explanation:
Because 54/7= 7.7
you get 7.7 by dividing which is the unit rate
-4(3x - 2x + 4y)
Simplify the expression
Answer:
− 4 x − 16 y
Step-by-step explanation:
Answer:
− 4 x − 16 y
Step-by-step explanation:
work out the volume of the cuboid in cm³
Answer:
it is 192000 is got it right
pls help! need answer ASAP!!
Answer:
c because if you subtract
Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,0)
Point
(3,18)
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)
2 3/8 x 1/2 PLEASE ILL GIVE BRAINLIEST
Answer:
1 3/16
Step-by-step explanation:
Answer:
1.1875 or 1 3/16
Step-by-step explanation:
you just put it into a calculator
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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Solve for x.
3(x + 2) + 4(x - 5) = 10
Step-by-step explanation:
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
Answer:
x=3.43
Step-by-step explanation:
3(x-2)+4(x-5)=10
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
24/7=3.428571428571429(round to nearest hundredths)
x=3.43
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4
The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by
g(x)= f(x^3-x )
Required:
What is the value of g (3)?
Answer:
17
Step-by-step explanation:
What is the correct answer for this
The smallest to the largest side is SQ, RS, QR, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.
The measure of angle of the triangle is 56°, 83°, and 41°.
From the property of the triangle, the side opposite the bigger measure angle is the largest.
The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.
The smallest side will be the side opposite to QRS, i.e. SQ,
The largest side will be the side opposite to QSR, i.e. QR
The side in order from the smallest to the largest, SQ, RS, QR.
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What is one of the distinctions between a population parameter and a sample statis- tic? A. A sample statistic changes each time you try to measure it, but a population parameter remains xed. B. A population parameter changes each time you try to measure it, but a sample statistic remains xed across samples. C. The true value of a sample statistic can never be known but the true value of a population parameter can be known. D. A population parameter is only based on conceptual measurements, but a sam- ple statistic is based on a combination of real and conceptual measurements.
Answer:
jaiana jsijejeren8sninsun9nsuns
Aleks topic please help
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
It took Alfonzo 25 minutes to shop for a shirt. If he left the store at 2:25 P.M. after buying the shirt, what time did he start shopping?
The time he start shopping is 2 : 00 PM
How to determine the time he start shopping?From the question, we have the following parameters that can be used in our computation:
Time spent = 25 minutes
Time he left the store = 2 : 25PM
Using the above as a guide, we have the following:
Time he started = Time he left the store - Time spent
substitute the known values in the above equation, so, we have the following representation
Time he started = 2 : 25PM - 25 minutes
Evaluate
Time he started = 2 : 00 PM
Hence, the time he start shopping is 2 : 00 PM
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Which figure can be formed from the net?
Match each three dimensional figure to its volume based on the given dimensions.
please attach a diagram
What is the slope of this line?
4
−3
−3/4
3/4
Answer:
The answer is -3/4.
Answer: -3/4
Step-by-step explanation:
The line is pointing downwards, making it negative and having a negative slope. The line goes down 3, over 4, so its slope is -3/4.
Help help help please please
◊ Hello there! ◊
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
7x+4/3<6
Get rid of the denominator first by multiplying both sides by 3:
7x+4<18
Now, move all the numbers to the right, using the opposite operation:
7x<18-4
7x<14
Divide both sides by 7:
x<2
Therefore, x<2 ✔︎Hope this helps!
~Just a felicitous gal
#HaveANiceDay
\(SilentNature \\;)\)
Write a multiplication equation to show an equivalent fraction of 15 using fifteenths.
Explain how the two fractions are equivalent.
A multiplication equation to show an equivalent fraction of 15 using fifteenths would gives 10/75
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We have to write an equivalent fraction of 15 using fifteenths.
2/15
So let multiply by 5 .
2 / 15 x 5/ 5 = 10/75
Thus, 10/75 is equivalent expression.
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x = 13, ¿cuál ecuación es verdadera?
3(18 - x) = 67
4(9x) = 23
2(x-3)=7
5(x-9) = 20
When x = 13, the equation that is true is option D) 5(x - 9) = 20.
To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:
A) 3(18 - x) = 67
Substituting x = 13:
3(18 - 13) = 67
3(5) = 67
15 = 67
The equation is not true when x = 13. Therefore, option A is false.
B) 4(9x) = 23
Substituting x = 13:
4(9*13) = 23
4(117) = 23
468 = 23
Again, the equation is not true when x = 13. Therefore, option B is also false.
C) 2(x - 3) = 7
Substituting x = 13:
2(13 - 3) = 7
2(10) = 7
20 = 7
Once again, the equation is not true when x = 13. Therefore, option C is false as well.
D) 5(x - 9) = 20
Substituting x = 13:
5(13 - 9) = 20
5(4) = 20
20 = 20
Finally, the equation is true when x = 13. Therefore, option D is true.
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Note: the translated questions is
X = 13, which equation is true?
In order for Clorox to act as a disinfectant for teat dipping a solution must be a 2:5 ratio. If the solution has 0.5 L of distilled water, how many ML of bleach does it contain?
( try to answer the other questions too if you can )
Answer:
Step-by-step explanation:
Since the ratio of Clorox to the total solution must be 2:5, we can use this information to set up a proportion:
2/5 = x/0.5
where x is the volume of Clorox in liters.
We can solve for x by cross-multiplying:
2 * 0.5 = 5x
1 = 5x/2
x = 2/5
So the volume of Clorox in the solution is 2/5 of 0.5 L, which is:
(2/5) * 0.5 = 0.2 L
To convert liters to milliliters, we can multiply by 1000:
0.2 L * 1000 mL/L = 200 mL
Therefore, the solution contains 200 mL of Clorox.
432 oranges are to be divided equally among a number of people. If there had been four people less, the share of each would have been 9 oranges more. Find the number of people.
Answer:
the number of people would have been 48
lesson Tables of Proportional Relationships Explore: Ratios in Tables - Explore
The complete table is drawn below , and from the table we can say that the relationship between the number of days and the cost is proportional .
In the question ,
it is given that Charge for 20 days = 1400
So , the charge for 1 day = 1400/20 = 70
hence the charge for 15 days = 15*70 =1050
given for amount 1400 the car can be rented for = 20 days
So, for amount 1 the car can be rented for = 20/1400 = 1/70 days
hence for amount 1820 the car can be rented for = 1820/70 = 26 days .
Therefore , The complete table is drawn below , and from the table we can say that the relationship between the number of days and the cost is proportional .
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can u solve this please? 18x-2 = 17x +2
Answer:
Step-by-step explanation:
18x-2 = 17x +2
⇒18x-17x - 2 = 2
⇒x - 2 = 2
∴ x = 4
Answer:
x=4
Step-by-step explanation:
18x-2=17x+2
step 1: isolate the x by subtracting 17x from both sides
18x-2-17x=17x+2-17x
x-2=2
then add 2 to both sides
x-2+2 = 2+2
x=4
During a sale, a store offered a 25% discount on a bed that originally sold for $800. After the sale, the discounted price of the bed was marked up by 25%. What was the price of the bed after the markup? Round to the nearest cent.
The price of the bed after mark up is $475.00
What is discount?Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.
The first discount given is 25% , therefore the price of the bed before mark up is
25/100 × 800
= 25×8
= 200
the price before mark up = 800-200 = $600
Another 25% is given after the first sale, there the price of the bed after mark up is
25/100 × 600
=$ 125
price after markup = 600-125
= $475.00
therefore the price of the bed after markup is $475.00
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make x subject
u= cos 0.5x
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
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