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Answer:
10 to the 5 power
Step-by-step explanation:
please help me with this
Answer:
Volume = 160 cm³ (Unit = cm³)
Step-by-step explanation:
Length = 4 cm
Width = 4 cm (Because it's a square based cuboid!)
Height = 10 cm
Now, Volume:
Volume = \(Length * Width*Height\)
Volume = 4 * 4 * 10
Volume = 160 cm³
Answer:
160 cm³
Step-by-step explanation:
The base is a square. The side length of the base is 4 cm.
The volume of a square-based cuboid is the area of square × height or length.
4² × 10
16 × 10
= 160
The volume of the square-based cuboid is 160 cm³.
PLEASE HELP ASAP 20 POINTS
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 22.75°. What is the measure of ∠P?
22.75°
78.625°
134.5°
157.25°
Answer:
<P = 78.625°
Step-by-step explanation:
All of the angles in a triangle add up to 180.
<R + <Q + <P = 180
We can use x for <P and <Q, as they represent the same value because they are congruent.
<R + x + x = 180
Now, we want to substitute known values in and work backwards to find out what angle <P and <Q are.
2x + <R = 180
Put 22.75 in for <R.
2x + 22.75 = 180
Subtract on both sides.
2x = 157.25
Divide 2 on both sides to isolate x
x = 78.625
Since x represents <P and <Q, that means they are both 78.625 degrees each.
<P = 78.625
what are the two solution to [15+x]=9
Answer:
x= -6
Step-by-step explanation:
rearrange the terms and subtract 15 from both sides then simplify the expression
A laboratory tested n = 98 chicken eggs and found that the mean amount of cholesterol was LaTeX: \bar{x}x ¯ = 86 milligrams with σ = 7 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.
Answer:
1.3859
Step-by-step explanation:
The formula for Margin of Error is given as:
Margin of Error = Critical value × Standard Error
Critical value = z score
In the question, we are given a confidence interval of 95%.
Z score for a 95% confidence level is given as: 1.96
Hence, critical value = 1.96
Standard Error = σ / √n
Where n = number of samples = 98 chicken eggs
σ = Standard deviation = 7 milligrams
Standard Error = 7/√98
Standard Error = 0.7071067812
Hence, Margin of Error = Critical value × Standard Error
Margin of Error = 1.96 × 0.7071067812
Margin of Error = 1.3859292911
Therefore, the margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is approximately 1.3859
Austin opened a savings account and deposited $600.00 as principal. The account earns 5% interest, compounded annually. What is the balance after 8 years?
Answer:
$886.47
Step-by-step explanation:
Mrs. Kwan is packaging apples in paper
bags. She needs to package 30 red apples
and 24 green apples so that there is the same
number of apples in each bag. But she
cannot mix the different apples, and there
can be no apples left over. What is the
greatest number of apples she can package
In each bag?
If 1/4 of the box is green apples, then 3/4 of the box is red apples. Thus, 3 times the number of green apples is equal to the number of red apples, which would give 3 * 5 = 15 red apples.
1. 50x2=
2. 60x3=
3. 75x8+3=
And then add then all together
Answer:
1. 50 x 2 = 100
2. 60 x 3 = 180
3. 75 x 8 + 3 = 603
603 + 180 + 100 = 883
Step-by-step explanation:
Just multiply and add.
Which equation represents a line which is parallel to the line x + 4y = –20?O y = 4x + 7Submit AnswerO y = 3x - 7Oy=-x-1y = -4x + 1
So the answer is y = -1/4x -1.
Identify the meaning of the variables in the point-slope form of a line.
Answer:m=the slope of the line
(x1, y1)= a given point on the line (x,y)=any point on the line
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
how do i find the lcd of /x-5 - 2x/x-3
Therefore, the result of the subtraction of (x-5)/(x-3) and 2x/(x-3) with a common denominator is (-x² + 5x)/((x-3)(x-5)).
What is fraction?A fraction is a way of representing a part of a whole or a ratio of two quantities. It is written as a numerical value that represents the part or ratio, with a line or slash separating it from the whole or total. The number above the line is called the numerator and the number below the line is called the denominator.
Here,
To find the LCD (least common denominator) of the fractions (x-5)/(x-3) and 2x/(x-3), you need to factor the denominators and then find the product of all the factors, with each factor raised to the highest power that appears in any of the denominators.
The denominator of the first fraction, x-3, is already factored. The denominator of the second fraction is also x-3. So the LCD is simply (x-3).
Note that the LCD is not (x-5)(x-3) because (x-3) already appears in both denominators, and we only need to include it once in the LCD.
To add or subtract the two fractions, you need to express them with a common denominator, which is the LCD. To do this, you can multiply the numerator and denominator of the first fraction by (x-5) and the numerator and denominator of the second fraction by 1, to get:
(x-5)/(x-3) - (2x)/(x-3) = (x-5)/(x-3) - (2x(x-5))/((x-3)(x-5))
Simplifying the second fraction by distributing the 2x and canceling out the (x-5) factors, you get:
(x-5)/(x-3) - (2x(x-5))/((x-3)(x-5)) = (x-5)/(x-3) - (2x² - 10x)/((x-3)(x-5))
Now, the two fractions have the same denominator, so you can combine the numerators by subtracting:
(x-5)/(x-3) - (2x² - 10x)/((x-3)(x-5)) = (x² - 5x - 2x² + 10x)/((x-3)(x-5))
Simplifying the numerator, you get:
(x² - 5x - 2x² + 10x)/((x-3)(x-5)) = (-x² + 5x)/((x-3)(x-5))
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Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?
By using the concept of dilation factor, length of BC obtained is 3 units
What is dilation factor?
Dilation is a transformation which changes the size of a figure by a certain factor.
That factor is called the scale factor
In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3
A'B'C'D' is the dilated figure
Length of B'C' = 9 units
Length of BC = \(9 \div 3\) = 3 units
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Complete Question
The figure has been attached here
draw each paralelogram in blue and draw both diagonals in red/pink.Find the coordinates of the intersection of the diagonals.
EXPLANATION
Given the coordinates of the parallelogram COWS as follows:
C=(-3,2) ; O=(4,5) ; W=(2,-3) ; S=(-5,-6)
Plotting the graph:
Now, we can get the intersecction of the diagonals by intersecting the segment CW with OS as shown as follows:
In conclusion, the intersection point is at (-0.5, -0.5)
5t+7+8b
I need also help on -2(x+3)=_-6
The solution to the equation -2(x + 3) = -6 is x = 0.
To simplify the expression 5t + 7 + 8b, we can combine like terms.
There are two like terms in the expression: 5t and 8b.
Combining the like terms gives us:
5t + 8b + 7
Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.
Regarding the equation -2(x + 3) = -6:
To solve this equation, we can follow these steps:
Distribute the -2 to the terms inside the parentheses:
-2 * x + (-2) * 3 = -6
This simplifies to:
-2x - 6 = -6
Move the constant term to the right side by adding 6 to both sides of the equation:
-2x = 0
Divide both sides of the equation by -2 to isolate the variable x:
x = 0 / -2
Simplifying the right side of the equation gives us:
x = 0
The solution to the equation -2(x + 3) = -6 is x = 0.
The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.
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The original price of a bicycle was $100.00. In March, a bicycle went on sale for 10% off. In April, the sale price was raised by 10%. What is the price of the bicycle in April? Write just the value that represents your answer.
Answer:
take 10% out of 100 = 90
then find 10% of 90 = 9
add that to 90 = 99
The price of the bike in april is 99$
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Ellen wrote 18 checks in May. The first five checks had no fee.
The bank charged $0.25 for the remaining checks written that
month. The monthly service charge on the account is $5.
What is the total amount of fees Ellen paid in May on her
checking account?
What is the dividend yield on Stock A that sells at
$15/share, when Company A pays a quarterly
dividend of $0.20 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth
Hint: Dividend Yield
annual dividend
share price
Answer:
5.3%
Step-by-step explanation:
The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:
yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%
The dividend yield is 5.3%.
solve the equation n - 9/10 = - 109/10
to solve this question, we need to simplify
step 1
write out the equation and collect like terms
\(\begin{gathered} n-\frac{9}{10}=-\frac{109}{10} \\ n=-\frac{109}{10}+\frac{9}{10} \end{gathered}\)step 2
take the LCM and solve the fraction
the LCM here is 10
\(\begin{gathered} n=-\frac{109}{10}+\frac{9}{10} \\ n=\frac{-109+9}{10} \\ n=-\frac{100}{10} \\ n=-10 \end{gathered}\)Six years ago $1.200 was put in the bank and in the end earned $485 of simple interest. What was
the interest rate for this bank account?
Show your work
I=
P=
R=
T=
Correct principal is $1200.
Answer:
R = 6.736%
Step-by-step explanation:
Formula for simple interest is;
Interest = PRT/100
We are given;
Principal; P = $1200
Time; T = 6 years
Interest; I = $485
Rate; R =?
From, Interest = PRT/100, we have;
485 = 1200 × R × 6/100
Making R the subject gives;
R = 485 × 100/(6 × 1200)
R = 6.736%
Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
HELP PLEASE ITS CIRCLE STUFF In the circles shown above, AC = (pretend theres a squiggly line above the equals sign) RT. Which shaded region has a larger area? A. The area of the shaded region in A is larger. B. The area of the shaded region in R is larger. C. The areas of the shaded regions are equal. D. Which region is larger cannot be determined without the lengths of the radii of the circles. Please select the best answer from the choices provided A
Answer:
the answer would be D
Step-by-step explanation:
because without any lengths we can not figure out which circle has a lrger shaded area
what is the answer to 8221 - 2974
The answer: 8221 - 2974 = 5274
A company uses 3 trucks to deliver a total of T liters of cement. Each truck can transport x liters of cement per trip, and makes a total of y trips.
Write an equation that relates T, x, and y.
Answer: T=3xy
Step-by-step explanation:
Answer:
T=3xy
Step-by-step explanation:
Help !!!!!!! I’m struggling with this question
a^2=b^2+c^2
×=11; a^2=(6×11+7)^2+(3×11)^2
a^2=6418
so the length is estimately 80.11
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
Answer:58.60
Step-by-step explanation:
because this was just a wasted of you time very not sorry thx for the pts .
find x for me i need help.
Answer:
X is 70 degrees
Step-by-step explanation:
In a triangle, all the angles add up to 180.
We can set up an equation:
48+62+x=180
x=180-(48+62)
x=70
954 minus what equaling 944
Step-by-step explanation:
subtract 954 from 10=944
mattew drives at an average speed of 62 mph for 5 hours. b
how many miles does mattew drive
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:
310 miles
Step-by-step explanation:
62times 5 =310
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs