Answer:
Step-by-step explanation:
In this type of problem it's reasonable to use a calculator for the computation. Here, 83.31·6.2 = 516.522. Double check to ensure that you've copied all of the possible answer choices correctly.
The value of the expression is 516.522, which corresponds to option B.
To solve the expression 83.31 * 6.2, we need to multiply the two numbers. Here is the step-by-step calculation:
Multiply 83.31 by 6.2 without considering the decimal places: 8331 * 62 = 516,522.
Count the total number of decimal places in the factors. In this case, 83.31 has two decimal places, and 6.2 has one, so there are three decimal places in total.
Place the decimal point in the result (516,522) to reflect the combined number of decimal places from the factors: 516.522.
Therefore, the value of the expression 83.31 x 6.2 is 516.522, which corresponds to option B.
At Madison High School each student studies exactly one foreign language. Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. If all of the others take French, what percent of the students take French?
PLEASE HELP
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The percent of the students who took French is 30%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. Therefore, the number of students who took french is,
Number of students who took french = 1 - 3/5 - (2/5 × 1/4)
= 1 -0.6 -0.1
= 0.3
= 30%
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Use a half-angle identity to find the exact solution of cos 3 pi / 8
Answer:
-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]
Step-by-step explanation:
The cosine half-angle formula is
[tex]cos\frac{\pi }{2}[/tex]=±[tex]\sqrt{\frac{1+cosx}{2} }[/tex]
we can write
[tex]cos \frac{3\pi }{8}[/tex]
as
[tex]cos\frac{\frac{3\pi }{4} }{2}[/tex]
=-[tex]\sqrt{\frac{1+cos\frac{3\pi}{4} }{2}[/tex]
=-[tex]\sqrt{\frac{1-\frac{\sqrt{2}}{2}}{2}[/tex]
=-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]
(cosine is negative is in second quadrant)
Using the half angle identity, the exact value of cos 3 pi / 8 is (√2 - 1) / 2√2.
Given a trigonometric expression,
cos 3π/8
We have to find the exact value of this using the half angle identity.
The half angle identity in terms of cosine function is,
cos (x/2) = ± √[(1 + cos x) / 2]
Here the angle is 3π/8.
This can be written as,
3π/8 = 3π/4 / 2
Substituting to the formula,
cos (3π/4/2) = √[(1 + cos 3π/4) / 2]
Now,
cos 3π/4 = cos (π - π/4)
= -cos(π/4)
= - 1/√2
Substituting to the formula,
cos (3π/4/2) = √[(1 - 1/√2) / 2]
= (√2 - 1) / 2√2
Hence the value is (√2 - 1) / 2√2.
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Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest. How much money did she borrow from Bank A?
Answer:
Final answer is $9000.
Step-by-step explanation:
Given that Alice took out a $15,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.
Now we need to find out about how much money did she borrow from Bank A.
So let's assume that money borrowed from bank A = x
then money borrowed from bank B = 15000-x
Interest from bank A = 6% of x = 0.06x
Interest from bank B = 7% of (15000-x) = 0.07(15000-x)
Given total interest is $960. So we can write equation:
0.06x+0.07(15000-x)=960
0.06x+1050-0.07x=960
1050-0.01x=960
-0.01x=960-1050
-0.01x=-90
[tex]x=\frac{-90}{-0.01}[/tex]
x=9000
Hence final answer is $9000.
Answer:
The amount borrowed from bank A = $9000
Step-by-step explanation:
Formula:
I = PNR/100
P - Principle amount
N - Number of years
R - Rate of interest
It is given that,Alice took out a $15,000 loan for college. Bank A charges an interest rate of 6%, and Bank B charges an interest rate of 7%. After one year, Alice owes $960 in interest.
Let 'x' be the amount borrowed from Bank A
Then the amount borrowed from Bank B = 15000 - x
To find the value of x
I = PNR/100
Here I = $960
(x*1*6)/100 + (15000 - x)*1*7/100 = 960
6x/100 + (15000*7)/100 - 7x/100 = 960
1050 - x/100 = 960
x/100 = 1050 - 960 = 90
x = 90 * 100 = 9000
Therefore the amount borrowed from bank A = $9000
What is the value of n in the equation below?
Answer:
The value of n is equal to 9
Step-by-step explanation:
12^(n) / 12^(5) = 12^4
12^(n-5) = 12^(4)
Which means
n - 5 = 4
n = 4 + 5
n = 9
We can chek this by dividing
12 ^ 9 = 5159780352
12 ^ 5 = 248832
5159780352 / 248832 = 20736
12^4 = 20736
Elliot rides his bike at an average speed of 14 miles per hour.how many miles will he ride in 2 1/2 hours ?
Answer:
35 miles
Step-by-step explanation:
Given: Elliot rides his bike at an average speed of 14 miles per hour.
If he rides his bike at 14 miles every hour, and he was riding for 2.5 hours, all we need to do is take 14 and multiply it by 2:
[tex]2(14)=28[/tex]
We just found out how many miles he went in two hours. To find the remaining half, all we need to do is take his speed, divide it by two, and add it to the rest:
[tex]\frac{14}{2}=7[/tex]
[tex]28+7=35[/tex]
Elliot went 35 miles in 2.5 hours.
He will ride 35 miles in 2 1/2 hours.
Hope this helps.
Please help me with 26
Answer:
Step-by-step explanation:
3x3=9 For the second week
9x3=27 For the Third week
27x3=81 For the Forth week so
3 Min first week
9 Min second week
27 Min third week
81 Min forth week
The Cotton family purchases a glass sculpture in the shape of a rectangler pyrimad.The base measures 7 1/2 inches by 5 inches.If the volume of the sculpture is 75 cubic inches, what isthe height of the pyrimad, in inches?
Answer Choices:
A) 15in
B) 6in
C) 2in
D) 37.5in
Answer:
6
Step-by-step explanation:
see attachment
Answer:
The answer is B. 6in.
Hope it helps!!!!!!!
PLEASE HELP!!!!!!!
Jacob makes the following statement:
"I have a 60% chance of being selected as the captain of the baseball team and a 20% chance of being elected student body president."
What is the probability that Jacob will be selected as the captain of the baseball team and will be elected student body president? (5 points)
a
80%
b
40%
c
12%
d
8%
can someone help me.
Answer:
[tex]\large\boxed{x=\pm\sqrt{10}}[/tex]
Step-by-step explanation:
[tex]x^2=10\Rightarrow x=\pm\sqrt{10}\\\\\text{because}\ (-\sqrt{10})^2=10\ \text{and}\ (\sqrt{10})^2=10.\\\\\text{used}\ (\sqrt{a})^2=a[/tex]
Which inequality represents the statement A final grade of at least 90? A. x < 90 B. x > 90 C. x ≤ 90 D. x ≥ 90
Answer:
D
Step-by-step explanation:
Since it is at least 90, it literally means that the lowest possible value is 90. Therefore the number can only be greater than or equal to 90. So, the answer is D.
Answer:
C. X is less than or equal to 90
Step-by-step explanation:
because as you can see that the last sentence it says. A final grade of at LEAST 90?
PLEZ HELP ME ASAP 21.66÷5.7
Answer: 3.8
Step-by-step explanation: See the attached file!
Simplify the expression using the distributive property. –4(–3x + 11) 1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11) 2. Find each product: x -44
The value of x is 11/3 for expression –4(–3x + 11)
What is Expression?An expression is combination of variables, numbers and operators.
Given expression is –4(–3x + 11)
Let us apply distributive property
–4(–3x + 11)
Minus four times of minus three x plus eleven
-4(-3x)-4(11)
Minus four times of minus three x minus four times of eleven
12x-44
12x=44
Divide both sides by 12
x=44/12
x=11/3
Hence, the value of x is 11/3.
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A living room has a circular rug with a diameter of 8 feet. What is the rug's area? Use 3.14 for .
Answer:
Step-by-step explanation: 50.27 is the area
Final answer:
The area of a circular rug with an 8 feet diameter, using the formula A = π[tex]r^2[/tex] and π approximated as 3.14, is 50.24 square feet.
Explanation:
The question seeks to determine the area of a circular rug with a diameter of 8 feet. To calculate the area of a circle, the formula used is A = π[tex]r^2[/tex], where A is the area and r is the radius of the circle. Since the diameter is twice the radius, we have a radius of 4 feet (8 feet divided by 2).
Using 3.14 for π, the calculation is:
First square the radius: 4² = 16.
Multiply this by π (approximated as 3.14): A = 3.14 × 16.
Complete the multiplication to find the area: A = 3.14 × 16 = 50.24 square feet.
Therefore, the area of the rug is 50.24 square feet.
What is 19.55 rounded off to the nearest whole number
Answer:
20
Step-by-step explanation:
19.55 can be either 19 and 20, but it is closer to 20!
Answer: The answer is 20.
Step-by-step explanation: So anytime you are rounded if the number is 5 or over 5 it will round up. If it is under 5 it will round down and in this case it is over half or 5 so it would round up to 20 since 20 is a whole number.
Lila makes bags of stickers that are exactly the same for 5 friends. She uses a total of 45 stickers. Each bag has 2 butterfly stickers and the rest are flower stickers. How many flowers stickers are in each bag? Write a first step question and answer. Then solve the problem.
Answer:
Step-by-step explanation:each bag has 7 flower stickers........I think
we multiplicate 9*5 that is 45
9-2 is seven ,seven flower stickers
Given the points (3,0) and (-1,-3) which of the statements below is true
What are the statements?
Final answer:
The given statements about the points (3,0) and (-1,-3) are not true. One cannot determine if they are parallel to x-axis or mutually perpendicular without more information or a third point/vector.
Explanation:
The question describes two points, (3,0) and (-1,-3), and asks which statements are true regarding their position. To determine the relationship between these points, we can visualize them on a coordinate system. Point (3,0) lies on the x-axis, while point (-1,-3) does not. The statements provided suggest a scenario where the points either form parallel lines along the x-axis or are mutually perpendicular to each other.
Neither of the given statements is correct since one point lies on the x-axis, and the other does not, which means they cannot be parallel along the x-axis. Additionally, without a third point to form a triangle or a clear reference for perpendicular vectors, we cannot assert that they are mutually perpendicular. Therefore, we need additional information, such as the context for these points or the third reference point/vector, to make a proper determination.
Regarding the information about vectors and coordinates, remember that vectors can be used to define directions and magnitudes from one point to another. In this case, however, we are only given two points without clear instruction on how to interpret them as vectors.
For the statement 'Clearly, the three directions are mutually perpendicular to each other,' note that this applies to three-dimensional coordinate axes or where three vectors are given, which are specifically defined as perpendicular. This situation described with two points does not satisfy the conditions of that statement.
Solve the triangle. A = 46°, a = 34, b = 27
Find the length of the hypotenuse
34^2 + 27^2 = c^2
1156 + 729 = 1885
c^2 = 1885
sqrt(1885)
c = 43.42
Answer:
All sides of the triangle are a = 34, b = 27 and c = 46.7
and angles are A = 46°, B = 34.83° and C = 99.17°
Step-by-step explanation:
In a given triangle A = 46°, a = 34 units and b = 27 units
Then we have to find all angles and measure of the side left.
By sine rule,
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]
[tex]\frac{34}{sin46}=\frac{27}{sinB}[/tex]
sinB = [tex]\frac{27\times sin46}{34}[/tex]
sinB = 0.5712
B = [tex]sin^{-1}(0.5712)[/tex]
B = 34.83°
Since in a triangle,
∠A + ∠B + ∠C = 180°
46°+ 34.83° + ∠C = 180°
80.83° + ∠C = 180°
∠C = 180 - 80.83 = 99.17°
[tex]\frac{b}{sinB}=\frac{c}{sinC}[/tex]
[tex]\frac{27}{sin34.83}=\frac{c}{sin99.17}[/tex]
[tex]\frac{27}{0.5711}=\frac{c}{0.9872}[/tex]
c = [tex]\frac{27\times 0.9872}{0.5711}=46.67[/tex]
Therefore, all sides of the triangle are a = 34, b = 27 and c = 46.7
and angles are A = 46°, B = 34.83° and C = 99.17°
50 POINTS!! HELP ME PLEASE HURRY IM RUNNING OUT OF TIME!!!
Find the volume of each figure to the nearest tenth.
Volume of sphere = 4/3 x PI x r^3
= 4/3 x 3.14 x 6^3
= 904.3 cubic meters
Volume of cone = PI x r^2 x h/3
h = √13^2-5^2 = 12
= 3.14 x 5^2 x 12/3
= 314 cubic meters
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points)
LENGTH=2/7
WIDTH= 3/7
Perimeter is 2l+2w
Length= 2/7+ 2/7 is 4/7
Width= 3/7 + 3/7 is 6/7
Answer is 4/7+ 6/7 is 10/7
Answer= 10/7 = 1 3/7
Answer:
1 3/7
Step-by-step explanation:
Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?
A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q
b is the correct answer
Step-by-step explanation:
The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.
Explanation:The symbolic notation that represents the statement 'Mary works at the water park or takes college classes' is P ∨ Q.
The '∨' symbol represents the logical operator 'or', which indicates that either statement P or statement Q (or both) can be true for the overall statement to be true.
In this case, Mary can work at the water park, take college classes, or do both.
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Which even number comes right before 29?
Answer:
28
Step-by-step explanation:
0, 2, 4, 6, 8, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.
mark as brainsliest♡
Answer:
28
Step-by-step explanation:
29, 28, 27
28 is before 29 and its even fam
How long does it take to get to space
Answer:
At 3,500 MPH, the shuttle is traveling approximately one mile per second. That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.
Step-by-step explanation:
Answer:
That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.
PLZ HELP
Robert makes a monthly budget. His monthly
allowance is $40. He makes $25 each month from
mowing the neighbor’s yard. Robert’s monthly
expenses are $75. How much does he need to earn
from babysitting to balance his budget?
A $75
B $10
C $50
D $35
if the following segment is reflected across the y-axis what are the new coordinates of the new endpoints? A.)(1,6) and (3,2) B.) (-6,1) and (-2,3) C.) (-1,-6) and (-3,-2) D.) (6,-1) and (2,-3)
Answer:
A.) (1, 6) and (3, 2)Step-by-step explanation:
Look at the picture.
[tex]\begin{array}{c|c|}&(x,\ y)\\S_{OX}&(x,\ -y)\\S_{OY}&(-x,\ y)\\S_{(0,0)}&(-x,\ -y)\end{array}[/tex]
A plane intersecting a cube can create a cross section that is a decagon? True or false
Answer: False
Step-by-step explanation:
what is the distance?
5^2+6^2 = x^2
25+36 = x^2
61 = x^2 | sqrt
sqrt(61) = x^2
x ~ 7.81
The distance is 7.81
Step-by-step explanation:See the image
How much hot dogs was sold on Wednesday? musiclover10045, This is a question you need to answer...
Answer:
32-28=4
Step-by-step explanation:
See the attachment :)
Answer:
4
Step-by-step explanation:
he started with 32 the he had 28 and 32-28 is 4
What is the domain of f(x)= 3x/x-1
Answer:
The answer is C on edge (all real numbers except 1)
Step-by-step explanation:
What is the distance between the points (6, −3) and (6, 5)?
The distance between the points (6, −3) and (6, 5) is 8 units.
How to calculate the distance between two points ?The distance between two points, (x1,y1) and (x2,y2) is calculated by using the distance formula in coordinate geometry.
According to distance formula,
Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex] units.
How to find the distance between two points in the question ?Given points are (6,-3) and (6,5).
Using the distance formula for calculating the distance -
Distance = [tex]\sqrt{(6 - 6)^{2} + (-3 - 5)^{2} }[/tex] units = [tex]\sqrt{8^{2} }[/tex] units = [tex]8[/tex] units
Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.
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Final answer:
To find the distance between the points (6, -3) and (6, 5), calculate the absolute value of the difference between the y-coordinates, resulting in a distance of 8 units.
Explanation:
The distance between the points (6, −3) and (6, 5) can be found using the distance formula, which is derived from the Pythagorean Theorem. In this particular case, since the x-coordinates of both points are the same, the distance is simply the absolute value of the difference in the y-coordinates.
To calculate the distance (d):
d = |y2 − y1|
d = |5 − (−3)|
d = |5 + 3|
d = |8|
d = 8
Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.
An item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. What is the sales price before sales tax?
Answer:
Price before tax is $64
Step-by-step explanation:
It asks for price before sales tax, so ignore sales tax %.
P=original-[original•(20/100)]
=80-80•0.2
=80-16
P=64
Answer:
$64
Step-by-step explanation:
We have been given that an item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. We are asked to find the sales price before sales tax.
The sales price would be 80 minus 20% of 80.
[tex]\text{Sales price}=80-\frac{20}{100}\times 80[/tex]
[tex]\text{Sales price}=80-\frac{1600}{100}[/tex]
[tex]\text{Sales price}=80-16[/tex]
[tex]\text{Sales price}=64[/tex]
Therefore, the sales price before sales tax would be $64.