Answer:
Angles ∠B and ∠C are complementary, not supplementary.
Step-by-step explanation:
I took the test. (khan academy)
Her proof is not correct because angles ∠B and ∠C are complementary, not supplementary.
What angles are not supplementary?If you add two acute angles in which each angle is large as possible, its sum will be less than 180°. By the definition of supplementary angles, it is impossible to get the supplementary angle when we add two acute angles.
How do you know if angles are complementary neither or supplementary?Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent, but they can be.
Learn more about complementary here https://brainly.com/question/16281260
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Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
The triangle represents a scale drawing that was created by using a factor of One-half. A triangle with sides lengths of 5 inches. Which is true of the measures of the sides of the original triangle? Each side of the original triangle is One-half the length of each side of the scale drawing. Each side of the original triangle is 2 times the length of each side of the scale drawing. Each side of the original triangle is the same length as each side of the scale drawing. Each side of the original triangle is 2 inches shorter than the scale drawing.
Answer:
Step-by-step explanation:
C
Answer:
D (Each side of the original triangle is 2 times the length of each side of the scale drawing.)
Step-by-step explanation:
I did it on Edge 2021.
Find the value for x which makes the statement true.
10x+4=−26
Answer:
x = -3
Step-by-step explanation:
10x + 4 = -26
10 x = -30
x = -3
An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbohydrate. At the conclusion of the experiment, the DNA content of the liver of each rat was determined (mg/g liver), with the following results:
Carbohydrate xi.
Starch 2.58
Sucrose 2.63
Fructose 2.13
Glucose 2.41
Maltose 2.49
Assuming also that Σ Σ xij^2 = 185.4, does the data indicate that true average DNA content is affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a 0.05 level of significance.
Answer:
H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
Step-by-step explanation:
A B C D E
2.58 2.63 2.13 2.41 2.49
∑A=2.58 ∑B=2.63 ∑C=2.13 ∑D=2.41 ∑E=2.49
A² B² C² D² E²
6.6564 6.9169 4.5369 5.8081 6.2001
∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001
Calculations
Group A B C D E Total
N n1=1 n2=1 n3=1 n4=1 n5=1 n=5
∑xi T1=2.58 T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24
∑x²i 6.6564 6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184
Mean xi 2.58 2.63 2.13 2.41 2.49 Total2.448
Σ Σ xij^2 = 185.4 given
Let k = the number of different samples = 5
n=n1+n2+n3+n4+n5=1+1+1+1+1=5
Overall ˉx=12.24/5 =2.448
∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1
Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)
∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)
∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5
=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)
ANOVA:
Step-1 : sum of squares between samples
SSB=(∑T2i/ni)-(∑x)2/n
=(3)-(2)
=30.1184-29.9635
=0.1549
Step-2 : Total sum of squares
SST=SSB-CF
= 185.4-2.488
=182.952
Step-3 : Sum of Squares Within Samples
SSW=∑x²-(∑T²i/ni)=SST- SSB=
= 182.952-0.1549=182.7971
Step-4 : variance between samples
MSB=SSB/k-1
=0.1549/4
=0.0387
Step-5 : variance within samples
MSW=SSW/n-k
=182.7971/5-5
=36.55942
Step-6 : test statistic F for one way ANOVA test
F=MSB/MSW
=0.0387/36.55942 = 0 .001058
ANOVA table
Source Sums Degrees Mean
of Variation of Squares of freedom Squares
SS DF MS F
B/w samples SSB = 0.1549 k-1 = 4 MSB = 0.0387 0.001
Within samples SSW = 0 n-k = 0 MSW = 36.55942
Total SST = 0.1549 n-1 = 4
H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples
Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples
F(4,0) at 0.05 level of significance =0.5
As calculated F=0.001 >0.5
So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
Which equation represents the relationship between x and y?
X y
1 4
2 5
3 6
4 7
Answer:
0 and 3, right? like look how everything else is set up
Step-by-step explanation:
1 4
2 5
3 6
4 7
they all add one to each number every problem. So subtract 1 from both and that should be your answer.
there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 14 meters?
Answer:
551
Step-by-step explanation:
Answer:
551.18 inches
Step-by-step explanation:
convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches
Please help and explain ( Brainliest for answer!)
Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
x/3 + 35 ≤ 65 pls help
Answer:
x [tex]\leq[/tex] 90
Step-by-step explanation:
i will give Brainiest if your right
Answer:
D. -9p + 0.5
Step-by-step explanation:
2(-4p-1) + (2.5-p)
Distribute the 2 and invisible 1
so
-8p - 2 + 2.5 - p
Combine like terms
-8 p + (-p) = -9p
-2+2.5 = 0.5
so
-9p+0.5
Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8
Answer:
D. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/4(2)ˣ
f(5) is x = 5 for function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(5) = 1/4(2)⁵Exponents: f(5) = 1/4(32)Multiply: f(5) = 83. Michael and Erica went
apple-picking. Michael's basket was
f full. Erica picked 3 į times as
many apples as Michael. How many
baskets of apples did Erica pick?
A
A
1
16
8
С
7
16
D3
she picked about 1 more basket than him because 1/8 x 3.5 is 0.4375
you would round to the nearest basket
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
500 meters to kilometers
Need help ASAP please :)
Answer:
a(6) = 2 [tex]\sqrt{3}[/tex] , b(10) = 15 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
A. a(x) = [tex]\sqrt{2x}[/tex]
a(6) = [tex]\sqrt{2(6)}[/tex]
a(6) = [tex]\sqrt{12}[/tex]
a(6) = [tex]\sqrt{4}\sqrt{3}[/tex]
a(6) = 2 [tex]\sqrt{3}[/tex]
B. b(x) = 3 [tex]\sqrt{5x}[/tex]
b(10) = 3 [tex]\sqrt{5(10)}[/tex]
b(10) = 3 [tex]\sqrt{50}[/tex]
b(10) = 3 [tex]\sqrt{25}[/tex] [tex]\sqrt{2}[/tex]
b(10) = 3 x 5 [tex]\sqrt{2}[/tex]
b(10) = 15 [tex]\sqrt{2}[/tex]
Help Help Help Help Help Help Help Help!!!!
Answer:
option c is the correct answer
If there are 16 red bobbles for every 2 green dandees, how many red bobbles are there in 20 green dandees?
200
8
160
16
Answer:
160
Step-by-step explanation:
20 / 2 = 10
10 * 16 = 160
order the following list of numbers from least to greatest
Answer:
The answer is D
29/3 = 9.6 (.6 is repeating)
√94 = 9.69
49/5 = 9.8
9.8 (.8 is repeating)
A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?
Answer:
8 miles
Step-by-step explanation:
Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___
To find: At this rate, how many miles can he run and 41.6 minutes?
Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:
let x be the variable
[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]
Apply fraction cross multiply;
[tex]26x=5\cdot \:41.6[/tex]
[tex]26x = 208[/tex]
Divide both sides by 26
[tex]\frac{26x}{26}=\frac{208}{26}[/tex]
Simplify
[tex]x = 8[/tex]
Then, at the rate, the runner ran 8 miles 41.6 minutes
Helpppp please prettty pleaseee THIS IS TIMED. I WILL MARK Brainliest. NO LINKS Please Or I WILL REPORT YOU. PLEASE GIVE EXPLANATION
Answer:
Please show the picture or question.
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
can i get some help on these two questions ive been on em for a while and got nowhere with them
For the first problem, you can convert [tex]-1 \frac{7}{10}[/tex] as a decimal, which is [tex]-1.7[/tex]. I've attached an image below and the red dot should be correct plotted version.
For the second problem, you can say something like Remy should look at the mixed fraction separate when plotting a mixed fraction. That way, it'll be easier to plot.
Hope this helps :) Let me know if you have any other questions with this problem!
ANSWER PLEASEEE I NEED HELP
Answer:
4,5,12
Step-by-step explanation:
48 square inches indicates the base area of the prism
the base area can be find in this way = dim 1 x dim 2. If we multiply 12 x 4 we can find 48 squares inches
Is this the right answer for this question?
Answer:
yes it is
Step-by-step explanation:
Answer:
I am not that sure but I think yes
Step-by-step explanation:
hope it is right not that sure tho but I think that is that tho
Please help with this!
Answer:
1. -4, 17
2. -14, -9
3. -14, -4
4. 6, -7
5. 12, 6
6. -1, 15
7. -7, 15
8. 3, 6
9. 1, 18
10. -10, -4
11. 2, 12
12. -1, 12
13. -17, 6
14. -7, 9
15. 4, 14
16. 4, -19
17. -11, -9
18. -10, 18
19. 1, 5
20. -1, 4
21. -8, 17
22. -12, -5
23. -6, 18
24. -3, 6
4
The portable basketball hoop shown is made so that BA= AS = AK. The measure of BSK is 76. What is m(angle)AKB?
Answer:
have you found the answer
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
1 5.2.3 Quiz: Completing the Square
Question 3 of 10
Solve this quadratic equation by completing the square.
x2 + 4x = 15
Answer:
x=5/2 or x=2.5
Step-by-step explanation:
x time 2 + 4x=15
6x=15
2x=15
2x=5
1 1/4 X 5 3/4 = _________________
Answer:
7 1/8
Step-by-step explanation:
Hope this helps
Answer: 7.1875
Step-by-step explanation:
First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875
how many times does 48 go into 123
Answer:
48 goes into 123 about 2.5625 times.
Step-by-step explanation:
To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:
123/48 = X
2.5625 = X
Therefore, 48 goes into 123 about 2.5625 times.