Answer:
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
Step-by-step explanation:
Please answer ASAP Will give five stars
I need help please i don’t understand
Answer:
C
Step-by-step explanation:
6/3 + - 1/6 Please help guys!
Answer:
11/6
Step-by-step explanation:
You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions? Use the Fundamental Counting Principle with three or more groups of items.
Answer:
You should be able to answer the question in 35 different ways.
Step-by-step explanation:
5 * 7 = 35
That's how I see it.
Final answer:
Using the Fundamental Counting Principle, there are [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.
Explanation:
To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.
In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.
Circle O has radius 3. Points M and N lie on circle O, and mZMON is 58
degrees. What is the length of arc MN in radians?
Find attached to the question, a hand drawn diagram of the circle.
Complete Question
Circle O has radius 3. Points M and N lie on circle O, and mMON is 58
degrees. What is the length of arc MN in radians?
Answer:
The length of arc MN in radians is 3.03687 radians.
Step-by-step explanation:
The formula for arc length =
s = rѲ
Where = = Arc length
r = radius
Ѳ = central angle in degree
In the question we were given the following values
r = radius = 3 units
Ѳ = central angle in degree = 58°
We were told to calculate arc length in radians
Therefore, we would convert 58° to radians using the formula
Degree × π/180
= 58 × π /180
= 1.012 radians.
Therefore, Arc length in radians =
S = rѲ
S = 3 × 1.0122909662 radians
= 3.0368728985 radians.
Approximately = 3.03687 radians.
Therefore, the length of arc MN in radians is 3.03687 radians.
A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.
What is the y-intercept
We have been given that a line [tex]y=mx+b[/tex] passes through the point (10, 3) and is parallel to the line [tex]2x+5y=12[/tex]. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:
[tex]2x-2x+5y=12-2x[/tex]
[tex]5y=-2x+12[/tex]
[tex]\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}[/tex]
[tex]y=-\frac{2}{5}x+\frac{12}{5}[/tex]
We know that slope of parallel lines is equal, so slope of parallel line to our given line would be [tex]-\frac{2}{5}[/tex].
Now we will use slope-intercept form of equation to find y-intercept.
[tex]y=mx+b[/tex], where,
m = Slope,
b = The y-intercept.
Let us substitute [tex]m=-\frac{2}{5}[/tex] and coordinates of point [tex](10,3)[/tex] in above equation as:
[tex]3=-\frac{2}{5}(10)+b[/tex]
[tex]3=-2(2)+b[/tex]
[tex]3=-4+b[/tex]
[tex]3+4=-4+4+b[/tex]
[tex]7=b[/tex]
Therefore, the y-intercept is 7 and our required equation would be [tex]y=-\frac{2}{5}x+7[/tex].
2. Use the distance formula to find the lengths of the sides of
the second triangle, Astu.
V-2 - (-8»? + (-7 - (-3)? = V6? + (-4)2
= 36 + 16 = 52 = 4(13)
4(13) = 2V13
The length of ST is 5. What is the length of TU?
53
85
45
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
just did it on Edge
Marking Brainliest! Please :))
Answer:
23/137
Step-by-step explanation:
im guessing i hope u get it right.
Jewel, Tracy, and Sam are friends who jointly own 14 of AB PLC total outstanding shares. AB PLC has a total of 100,000 shares outstanding, and the current share price is $5. At the end of the year, the company's total earnings were $250,000. What is the total value of the shares held by the three friends?
Answer:
100,000x5=500,000
500,000+250,000=750,000/100,000=7.5
5.0x14= $70
7.5x14= $105
They got $35
Answer:
For everyone in the future who uses this answer site. The person at the bottom with the answer 125,000 is correct. Even though I could not thank you commenter I thank you through this!
Step-by-step explanation:
A 50 lb bag of flour costs $27. How much does 8 lbs of flour cost? Use a proportion to solve.
Answer:
$4.32
Step-by-step explanation:
We want to write a proportion to solve
50 lbs 8 lbs
----------- = --------- -----
27 dollars x dollars
Using cross products
50x = 8*27
50x=216
Divide each side by 50
50x/50 = 216/50
x=4.32
Answer:
$4.32
Step-by-step explanation:
Make a proportion using this setup:
pounds/cost=pounds/cost
A 50 pound bag costs $27, and a 8 pound bag costs $x
50 lb/$27=8 lb/$x
50/27=8/x
Cross multiply
50*x=27*8
50x=216
We want to find what a 8 pound bag, will cost (x). To do this, we need to get x by itself.
Since x and 50 are being multiplied, divide both sides by 50
50x/50=216/50
x=216/50
x=4.32
A 8 pound bag of flour will cost $4.32
Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown. x2 + y2 + 6x + 4y – 3 = 0 x2 + 6x + y2 + 4y – 3 = 0 (x2 + 6x) + (y2 + 4y) = 3 (x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4 Which completes the work correctly?
We have been given that Mrs. Culland is finding the center of a circle whose equation is [tex]x^2+y^2+6x+4y-3 = 0[/tex] by completing the square. We are asked to find the final step of her work.
Let us complete the square.
We know that to complete square, we need to add the half the square of coefficient of x and y term.
[tex]x^2+y^2+6x+4y-3+3 = 0+3[/tex]
[tex]x^2+6x+y^2+4y=3[/tex]
We can see that coefficient of x is 6 and coefficient of y is 4.
[tex](\frac{6}{2})^2=3^2=9[/tex]
[tex](\frac{4}{2})^2=2^2=4[/tex]
Now we will add 9 and 4 on both sides as:
[tex]x^2+6x+9+y^2+4y+4=3+9+4[/tex]
[tex](x^2+6x+9)+(y^2+4y+4)=16[/tex]
Now we will complete the square as:
[tex](x+3)^2+(y+2)^2=4^2[/tex]
We know that standard form of equation of a circle is in form [tex](x-h)^2+(y-k)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.
We can rewrite our equation as:
[tex](x-(-3))^2+(y-(-2))^2=4^2[/tex]
Now we can see that center is at point [tex](-3,-2)[/tex].
Therefore, the equation of the circle would be [tex](x+3)^2+(y+2)^2=4^2[/tex] with a center at point [tex](-3,-2)[/tex].
Answer:
d
Step-by-step explanation:
egd 2021
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below. Means and Mean Absolute Deviations of Individual Times of Members of 4 times 400 meter Relay Track Teams Team A Team B Mean 59.32 s 59.1 s Mean Absolute Deviation 1.5 s 2.4 s What percent of Team B’s mean absolute deviation is the difference in the means? 9% 15% 25% 65%
Answer:
the answer is 9%
Step-by-step explanation:
i looked it up
9% percent of Team B’s mean absolute deviation is the difference in the means.
what is mean?the sum of all values divided by the total number of values is known as the mean.
what is mean absolute?the average distance between each data point and the mean.
or
mean absolute is a measure of variability that indicates the average distance between each observation and the mean.
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Find the diameter! *
Surface Area = 28.26 ft
diameter =
O ZA
O 3ft
O 4H
5ft
Known :
Sa = 28.26 ft
Asked :
d = ...?
Answer :
Sa = 4πr²
28.26 = 4 × 3.14 × r²
28.26 = 12.56 r²
r² = 28.26 ÷ 12.56
r² = 2.25
r = √2.25
r = 1.5 ft
diameter = 2 × radius = 2 × 1.5 = 3 ft
So, the diameter is 3 ft (2nd choice)
Hope it helpful and useful :)
Step-by-step explanation:
SA = 4 [tex]\pi[/tex]
28.26 = 4 × 22/7 × r²
r³ = 28.26 × 7/88
r² = 2.25 ft²
r = 1.5 ft
Diameter = 2 × r = 3 ft
Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple interest formula, I = P r t, how much interest will Sharla’s initial investment earn over the 16 year period?
Answer:
Step-by-step explanation:
P = $ 275
r = 8% = 8/100
t = 16 years
[tex]I=275*\frac{8}{100}*16\\\\I=\frac{35200}{100}\\I=352[/tex]
I =$352
Answer:
352
Explaning:
Lamonting
How do you solve 6x^2 +12x-48=0 by completing the square?
Answer:
x = -4 and x = 2
Through the Completing the Square process below:
Step-by-step explanation:
solve 6x^2 +12x-48=0
first divide out the 6
x^2 + 2x - 8 = 0
Then use the Diamond method:
-8 = -2*4 , and -2 + 4 = 2
so
x^2 - 2x + 4x - 8 = 0
x(x - 2) + 4*(x -2) = 0
(x + 4)(x - 2) = 0
so, solve x + 4 = 0 and (x - 2) = 0
x = -4 and x = 2
The completing the square is {-4, 2}
what is completing the square?Completing the Square. Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve a x 2 + b x + c = 0 by completing the square
According to the question,
Simplifying
6x2 + 12x - 48 = 0
Reorder the terms:
-48 + 12x + 6x2 = 0
Solving
-48 + 12x + 6x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + 2x + x2) = 0
Factor a trinomial.
6((-4 + -1x)(2 + -1x)) = 0
Ignore the factor 6.
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:
Simplifying
-4 + -1x = 0
Solving
-4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4
Combine like terms: 0 + 4 = 4
-1x = 4
Divide each side by '-1'.
x = -4
Simplifying
x = -4
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Solution
x = {-4, 2}
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a 15 inch long windshield wiper blade swipes in arc of 120°. How many square inches of a windshield’s surface area does the blade cover in one swipe
The blade covers an area of 235.714 square inches in one swipe.
In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.
To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.
Mathematically, the area covered by the blade in one swipe is
A = θ/360 * pi * r^2
where θ = 120 degrees and r = 15 inch
A = 120/360 * 22/7 * 15^2
= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches
What is the slope of the line?
Answer:
slope = 1
Step-by-step explanation:
(3,0) ; (0, -3)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1[/tex]
A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly.
Answer:
Effective annual yield = 0.05094534 or 5.094%
Step-by-step explanation:
Given:
Rate of interest (r) = 5% = 0.05
Interest = compounded quarterly
Find:
Effective annual yield = Y
Computation:
[tex]Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\[/tex]
Effective annual yield = 0.05094534 or 5.094%
The effective annual yield of a 5% interest rate compounded quarterly is calculated to be approximately 5.1%.
To find the effective annual yield of a passbook savings account with a rate of 5% compounded quarterly, follow these steps:
Identify the nominal interest rate and the compounding periods per year:
Nominal rate (r ): 5% or 0.05,
Compounding periods (n ): 4 (quarterly).
Use the formula for effective annual yield (A):
A = (1 + r/n)ⁿ - 1
Plug the numbers into the formula:
A = (1 + 0.05/4)⁴ - 1
Calculate inside the parentheses first:
1 + 0.05/4 = 1.0125
Raise the result to the power of 4:
(1.0125)⁴ ≈ 1.05095
Subtract 1 to get the effective annual yield:
1.05095 - 1 ≈ 0.05095 or 5.095%
Therefore, the effective annual yield is approximately 5.1%, rounded to the nearest tenth of %.
Complete question:
A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly. The effective annual yield is %. (Round to the nearest tenth as needed.)
A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC =150°. Calculate the area of triangle ABC.
a)
40 km2
b)
30 km2
c)
10 km2
The area of triangle ABC, with sides of 8 km and 5 km and an internal angle of 150 degrees, is calculated using the formula for the area of a non-right triangle. The result is 10 km².
Explanation:The subject of this question is Mathematics, specifically Geometry dealing with calculation of area of a triangle using the properties of a non-right triangle.
The area of the triangle ABC can be calculated using the formula 0.5 * a * b * sin(C), where C is the angle between sides a and b.
Here, a is the length from A to B, which is 8 km; b is the length from B to C, which is 5 km; and the angle C (angle ABC) is 150°.
Plug these values into the formula: 0.5*8km*5km*sin(150°) which equals to 10 km².
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PLEASE HELP!!! HURRY PLEASE!!!
consider the. system of equations:
y=-2x+4
y=-1/3x-1
the solution is (3, -2)
verify the solution. which true statement appesrs in your check?
a.4=4
b.-2=-2
c.-1=-1
d.-3=-3
Answer:-2=-2 (b)
Step-by-step explanation:
I just took that lesson
Answer:
-2=-2
Step-by-step explanation:
(17-2) Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width
is 11 ft, how many square feet of carpet does he need to buy?
Answer:
221
Step-by-step explanation:
Find the area of the parallelogram TOWN plotted below. Round your final answer to the nearest hundredth.
Answer:
40
Step-by-step explanation:
Pythagorean
A survey of 20 Middleton residents was done to determine the number of people in each household. The numerical frequencies are shown in the dot plot.
The outliers are 1, 6 and 9 while the mean is 3.5 and the range is 8
How to Interpret a Dot Plot?
1) From the given dot plot, we can say that the outliers are 1, 6 and 9. This is because these numbers are far away from the general number of people in each household.
2) The mean is;
[(1 * 1) + (2 * 4) + (5 * 3) + (4 * 4) + (5 * 4) + (1 * 9)]/20 = 3.5
3) The range is the difference between the highest number and the lowest number. Thus;
Range = 9 - 1
Range = 8
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I have a picture attached I am offering 35 points I need these questions done ASAP
Answer:its not showing me the picture
Step-by-step explanation:
Answer:
1.32
4. 35
5. 400
7. 225
8. 260
10. 77
11. 72
Step-by-step explanation:
You bike 4 miles the first day of your training, 4.2 miles the second day, 4.6 miles the third day, and 5.4 miles the fourth day. If you continue this pattern, how many miles do you bike the seventh day?
On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.
To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.
Day 1: 4 milesDay 2: 4 + 0.2 = 4.2 milesDay 3: 4.2 + 0.4 = 4.6 milesDay 4: 4.6 + 0.8 = 5.4 milesFollowing this pattern, the distances for the next three days would be:
Day 5: 5.4 + 1.6 (double of 0.8) = 7 milesDay 6: 7 + 3.2 (double of 1.6) = 10.2 milesDay 7: 10.2 + 6.4 (double of 3.2) = 16.6 milesTherefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.
How many times greater is 1,000,000 than 1,000?that is how many groups of 1 thousand are there in 1 million
1,000,000 is 1,000 times greater then 1,000
Step-by-step explanation:
If you multiply 1,000x1,000 you'll get an answer of 1,000,000
Therefore, 1,000,000 is going to be 1,000 times greater
Consider the quadratic function f(x) = - 2x ^ 2 + 5x - 4 The leading coefficient of the function is
Answer:
{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4
Step-by-step explanation:
Given the quadratic function
we have to find the leading coefficient of given quadratic equation.
The coefficient of x2 i.e a is known as the leading coefficient.
Comparing given equation with the standard equation, we get
a=-2
Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132?
Answer:
2x+2y=128
Step-by-step explanation:
multiply X by 2 then by 7 + 2 multiply by y and7 after getting whole numbers minus from 132 and add
Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temperature two Sundays ago was TTT degrees Celsius. Which of the following expressions could represent the average temperature last Sunday? Choose 2 answers: Choose 2 answers:
Answer: The two answers are 1.08T and (1 + [tex]\frac{8}{100}[/tex] )T.
Step-by-step explanation:
Try multiplying 1.08 times any random number. If you use 5, 1.08 times 5 gives you 5.4. This makes sense. Solve the other other expression as well and substitute T with the SAME number that you used before (5). Hope that helps!
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
language they are studying. Charles first gets class lists of all students taking foreign language classes. He then chooses 10
students from each different language class to survey. Which best explains why the sample he chose may not be a
representative sample?
The sample size is not large enough to renresent the nonulation
Answer:
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
Step-by-step explanation:
Answer options:
The sample size is not large enough to represent the population.
No. Sample size is quite small per language.The sample was not chosen at random.
No. There is no evidence if samples are not random.The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
Yes. Some of the classes my have large, some may have small population. Therefore taking 10 samples from each language is not right proportion and proper representation.The way the sample was chosen does not sample students from each different language class.
No. Each language class is considered.Answer:
C
Step-by-step explanation:
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.