9514 1404 393
Answer:
28 +10√381 -30√254 +36√2Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
__
2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
Which statement about the figure below is true?
Mimi is tacking 6 posters on her wall. Every poster needs a tack in each corner. What is THE LEAST number of tacks Mimi needs to hang the posters so that each can be seen completely?
Answer:
36 if the posters have 3 corners
Step-by-step explanation:
you would just multiply the corners by 6
You just completed your math course and you want to calculate your overall grade. You know that tests are weighted 15%, quizzes 10%. projects 35%, participation 35%, and the final exam 5%. What is your overall grade if you scored the following in each category?
Your overall grade, rounded to the nearest hundredth, is approximately 86.35%.
To calculate your overall grade, we need to assign weights to each category and then calculate the weighted average based on your scores.
Let's assume your scores in each category are as follows:
Tests: 85%
Quizzes: 90%
Projects: 92%
Participation: 80%
Final Exam: 88%
Now, let's calculate the weighted average:
Tests: 15% weight × 85% score = 12.75
Quizzes: 10% weight × 90% score = 9.00
Projects: 35% weight × 92% score = 32.20
Participation: 35% weight × 80% score = 28.00
Final Exam: 5% weight × 88% score = 4.40
Overall Grade = Sum of weighted scores / Total weight
Overall Grade = (12.75 + 9.00 + 32.20 + 28.00 + 4.40) / 100
Overall Grade ≈ 86.35%
Therefore, your overall grade, rounded to the nearest hundredth, is approximately 86.35%.
for such more question on grade
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What is the answer to this problem?
Answer:32?
Step-by-step explanation:
Jillian picked coins from her piggy bank and recorded the number of coins in the table below.
Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter
Answer:
1/8
Step-by-step explanation:
There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8
The probability of randomly picking a quarter is P = 0.125
How to get the probability?
If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.
In this case, we have 3 quarters, and a total of:
T = (6 + 7 + 8 + 3) = 24
Then the probability of randomly picking a quarter is:
P = 3/24 = 0.125
If you want to learn more about probability, you can read:
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r − 38 = 9
please solve the equation
Answer:
r = 47
Step-by-step explanation:
r - 38 = 9
r- 38 + 38 = 9 + 38
simplify
r = 47
Answer:
[tex]r=47[/tex]
Step-by-step explanation:
[tex]r-38=9[/tex]
Add 38 to both sides of the equation:
[tex]r-38+38=9+38\\r=47[/tex]
r = 47 is your final answer.
Brainliest for correct answer
Answer:
1/2
Step-by-step explanation:
Scale factor = (new figure measurement)/(original figure measurement)
Find IP using pythagorus
IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²
IP²=(4-(-4))²+(4-2)²
IP²=8²+2²
IP²=68
IP=[tex]\sqrt{68}[/tex]
Find I'P' using pythagorus
I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²
I'P'²=(2-(-2))²+(2-1)²
I'P'²=4²+1²
I'P'²=17
I'P'=[tex]\sqrt{17}[/tex]
Scale factor = (new figure measurement)/(original figure measurement)
=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]
=1/2
what is the x value such that y =15 -3x and y = 0?
Answer:
Step-by-step explanation:
. -6x - 2(0) = - 18. -6x = -18. x = 3 Tht
Answer:
x=5
Step-by-step explanation:
0=15-3x, then -15=-3x, divide the -15 by-3 and the answer is x=5
Find the point of intersection between the ray y = -5/12x when x < 0, and the unit circle.
2007 Federal Income Tax Table
Single:
Over
But not over
The tax is
$0
$7.825
10% of the amount over $0
$7.825
$31.850
$788 + 15% of the amount over $7,825
$31,850
$77.100
$4,386 + 25% of the amount over $31.850
$77.100
$160.850
$15,699 + 28% of the amount over $77.100
$160.850 $349.700
$39.149 + 33% of the amount over $160,850
$349.700 And Over
$101.469 + 35% of the amount over $349.700
John Myers had $49.000 in taxable income. He figured his tax from the tax schedule:
1. Found his earned Income level.
2. Entered the base amount = $4.386
3. Found the amount over $31.850 =
4. Multiplied line 3 by 25% =
5. Added Lines 2 and 4 =
Answer:
a
Step-by-step explanation:
edge 202011
Which pair(s) of numbers has (have) a greatest common factor of 9?
Select ALL that apply.
89 and 18
49 and 27
45 and 63
36 and 54
18 and 63
Answer:
45 and 63
36 and 54
18 and 63
Step-by-step explanation:
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answer:2 14
Step-by-step explanation:
9514 1404 393
Answer:
135
Step-by-step explanation:
The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.
The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.
The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.
The number of cubes that will fill the prism is ...
9 × 3 × 5 = 135 . . . cubes to fill the prism
Help on this question don’t understand it well
Answer:
135
Step-by-step explanation:
Well you don ‘t have to worry about the first part since its just the equation with the unknown number while the second part has it already substituted in.
Solve the equation normally, follow orders of operations.
6(5)^2-15
5^2=25
25*6=150
150-15=135
Select all the expressions that contain the coefficient 3.
Answer:
b/c
Step-by-step explanation:
Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
8 m
62°
12 m
[?] m2
Answer:
A, 1/2*b*h*sin
A, 1/2*12*8*sin 62
=43.3
Also use symbolab for this kid equations
Step-by-step explanation:
Need answer asap, brainliest for correct answer
Answer:
last one
Step-by-step explanation:
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:Congurant
Step-by-step explanation:
Answer:
Both
Step-by-step explanation:
The angles will add up to 180*, but they also measure the same.
A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)
Answer:
264
Step-by-step explanation:
72 divided by 3= 24
24x11=264
The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Answer:
24 blue cars
Step-by-step explanation:
In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;
[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]
Cross products,
[tex]5x = 120[/tex]
Inverse operations,
[tex]x = 24[/tex]
AUTHORITY ? description In your own words .this phrase has probably done more damage to investors than just about any other in all of market history.
Answer:
Authority is the accepted power of a person or an organization to lead another person or group. In a political sense, authority also stands for the power and dominion over an area or country held by the government. Authority legitimized by law or government is called 'competent authority'. A person who is generally respected by knowledge or status in a certain area is 'authoritative' in that area.
Authority regulates the relationships between people in society. If authority is absent, anarchy reigns. The difference between authority and power is that authority is legitimate. It has the right to exercise this power by, for example, imposing sanctions.
which expression is equivalent to ×7*×8?
Answer: If you mean 7 times 8 that is 56
Other expressions that are equal
- 56 times 1
- 1 times 56
- 2 times 28
- 4 times 14
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
1. Supplementary angles
2. alternate exterior
3. verticle angles
4. alternate interior
The box matches the numbers. 1 is the answer in the first box, and so on.
Let me know if you have any questions
Now assume a 95% confidence level. Without performing any calculations, complete the sentence below. The margin of error for a 95% confidence level will be
Answer: greater than 0.3
Step-by-step explanation:
On edge
The margin of error for a 95% confidence level will be greater than 0.3.
What is a confidence interval?A random population parameter is likely to be included in a confidence interval, which is a range of values that is limited by the statistic's mean. The confidence level is the percentage of probability, or certainty, that, after repeated random sample draws, the confidence interval would include the true population parameter.
Given:
A confidence level is 95%.
The formula to calculate the margin of error:
The margin of error = Z x S/√n.
Where S is the standard deviation and n is the sample size.
The corresponding z-score of the confidence level is 95%.
So, the margin of error will be always greater than 0.3.
Therefore, the margin of error will be always greater than 0.3.
To learn more about the confidence interval;
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pls help i dont have much time whoever answers correctly ill mark brainliest
What is the area of the trapezoid shown below?
Answer:
114 it think but maybe not
Step-by-step explanation:
a
15 FT
-
12 FT
16 FT
9 FT
What is the Volume:
What is the Total Surface Area:
Answer:
28 ft
Step-by-step explanation:
i used my fingers
To find the area of a trapezoid, use the expression ½h(b¹ + b²), where h represents the height, b, represents the length of the top base, and by represents the length of the bottom base. What is the area of the trapezoidal table?
is there supposed to be an image?? (comments, ill give answer if not, im
just confused)
Find arc mKL(only real answers)
In the figure below if M(ABD) 45 M(ABC)=100then find A,M(<ACD) B,M(<BAC) C,M(<BPC)
Answer:
Step-by-step explanation:
Multiply −12y(9y − 7).
Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
Answer:
Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval decreases is the sample size increases, that is, if the sample size increases, the width of the interval decreases.
In this question:
Sample size of increases to 30 from 24, which means that the width of the interval will decrease.
Quincy's claim is correct.
What is a good estimate for this angle measurement? A. 10 degrees B. 25 degrees C. 75 degrees D. 95 degrees
Answer:
C. 75 degrees
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
guys i guessed