Area of semicircle =
[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]
Area of the given semicircle = 1232 cm^2
[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]
[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]
Hence, the diameter of the circle is 56cm
Find the sum of following polynomials
a) 2p3 + q3 - 14pq - 2q and -p3 - 10q3 + 9p2q + 2pq - 12p + 12q - 18
b) 9x2y - 3xy2 - 8x + 14y - 16 and 12x3 + 4y3 - 12x2y - 4xy + 9
The answer fam is......... A) p^3−9q^3−12pq+9p^2q−12p+10q−18
B) 12x^3−3x^2y−3xy^2+4y^3−4xy−8x+14y−7
Answer:
[tex]\boxed{\bold{\sf{ a. ~p^{3} - 9q^{3} + 9p^{2}q - 12pq + 10q - 12p - 18 }}}[/tex]
[tex]\bold{\boxed{\sf{b.~12x^{3} + 4y^{3}-3x^{2} y - 3xy^{2} - 4xy - 8x + 14y - 7 }}}[/tex]
Step by step explanation
See attached picture.
For the addition and subtraction of algebraic expressions,like terms are added or subtracted as per the signs given and unlike terms are kept as they are. The sum or difference of like terms give another like term in which it's coefficient is sum or difference of their coefficient.Remember the following facts of addition and subtraction :
Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted. In horizontal method , expressions are arranged in same row and put sign for addition or sign for subtraction and remove the bracket and then simplify.
Hope I helped!
Best regards!
~TheAnimeGirl
Which ordered pair is a solution to the system of inequalities
Y<3x-1
Y>|x-2|
A. (-2,0)
B. ( 0,1)
C. (4,4)
D. (3,-1)
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.
(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
[tex]d = 0.5778 [/tex]
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is [tex]M = 50.2[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The population mean is [tex]\mu = 45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o \mu =45[/tex]
The alternative hypothesis is [tex]H_a \mu \ne 45[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]
=> [tex]z = 2.31 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > z )[/tex]
[tex]p-value = 2 * P(Z > 2.31 )[/tex]
From the z-table
[tex]P(Z > 2.31 ) = 0.010444[/tex]
=> [tex]p-value = 2 * 0.010444 [/tex]
=> [tex]p-value = 0.021 [/tex]
From the obtained values we see that [tex]p-value < 0.05[/tex]
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
[tex]d = \frac{M - \mu}{\sigma }[/tex]
=> [tex]d = \frac{50.2 -45}{9 }[/tex]
=> [tex]d = 0.5778 [/tex]
Give an example of a fraction that results in a repeating decimal. Explain how to round the decimal number to the the nearest thousandth.
x ÷ 4 + 5= 8 I need someone to do it and double check for me please.
= x/4 + 5 = 8
= x/4 = 8 - 5 ( transposing +5 from LHS to RHS changes +5 to -5 )
= x/4 = 3
= x = 3 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 l
= x = 12
Let us see whether the value of x is correct or not by placing 12 in the place of x .
= 12 ÷ 4 + 5 = 8
= 3 + 5 = 8
= 8 = 8
= LHS = RHS
Which means the value of x we found out is correct .
Therefore , x = 12 .Step-by-step explanation:
[tex] \frac{x}{4} + 5 = 8 \\ x + 5 = 32 \ \\ x = 32 - 5 \\ x27[/tex]
What is the equation of the line that as the same slope as the line 3x − 6y = −12 and the same y-intercept as the line −5x + 7y = −21?
Answer:
3x - 6y = -21
Step-by-step explanation:
The Y and X must stay the same for the same slope while the constant will change depending on the y-intercept.
what is the equivalent fraction of 4/5
Answer:
16/20
Step-by-step explanation:
PLEASE HELP NOW!!!!
WILL MARK BRAINLIEST AND ALL THAT JAZZ!!
The rule for significant digits in multiplication is, the answer should reflect the number in the problem with the
most significant digits
b. fewest significant digits
a. Most significant digits
Answer:
b
Step-by-step explanation:
BCCCCCC
What is the answer to 84.637 -28.56 explained
Answer:56.077
Step-by-step explanation:
What is the scale of a map if 1 cm on a map represents 20 km in real life?
Answer:
1cm: 20km
Step-by-step explanation:
This figure has two intersecting lines and a ray. What is the value of x?
Answer:
37 degrees
Step-by-step explanation:
108 = x + 71
37 = x
i need help finding the value of x
Answer:
Step-by-step explanation:
Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
9514 1404 393
Answer:
y = -x^2 +3x -4
Step-by-step explanation:
We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...
x = (1 +2)/2 = 3/2
Then the vertex form of the equation can be written ...
y = a(x -3/2)^2 +k
__
We can use two of the points to find the values of 'a' and 'k'.
For (x, y) = (1, -2)
-2 = a(1 -3/2)^2 +k = a/4 +k
For (x, y) = (3, -4)
-4 = a(3 -3/2)^2 +k = 9a/4 +k
Subtracting the first of these equations from the second, we have ...
(9a/4 +k) -(a/4 +k) = (-4) -(-2)
2a = -2
a = -1
Then k can be found from the first equation.
-2 = -1/4 +k
k = -1 3/4
So, the vertex form equation is ...
y = -(x -3/2)^2 -7/4
__
Expanding this, we can find the standard form.
y = -(x^2 -3x +9/4) -7/4)
y = -x^2 +3x -4
Estimate 2 perfect squares 15 would be between.
1. 3 and 4
2. 4 and 5
3. 2 and 3
4. 6 and 7
Which is the approximate length of the third side of the triangle below?
Answer:
The side that is not labeled will be 27 mm
Step-by-step explanation:
The angles are the same bordering the top side
meaning that the sides are also the same
my explanation is bad
Brainly crown?
Answer:
it whold be 25
Step-by-step explanation:
it could not be 22 that whold be to small
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
1. Complete the table.
Type the answers in the boxes below.
meters kilometers
1,000 1
3,500
500
75
1
x
2. Write an equation for converting the number of meters to kilometers. Use x for number of meters and y for number of kilometers.
Type the answer in the box below.
Answer:
Q1 1000 1
3500 3.5
500 .5
75 .075
1 .001
x 1/1000x or .001x Q2 Y= 1/1000x
Step-by-step explanation:
just search up 1000 meters to 1 kilometer and go from there :)
A plant grows 6 inches in ¾ of a month. How much does the plant grow in 1 month?
Answer:
8 inches
Step-by-step explanation:
If a plant grows 6 inches in 3/4 month, it will grow 8 inches in a month because it will grow 2 inches in 1/4 month, and 2x4=8. There's your answer! Hope it helps!
Green, blue, purple,
Give me brainest
Answer:
purple
Step-by-step explanation:
because the color green and blue suck
Answer:
Red sus. Vote him bois.
Step-by-step explanation:
lol (Brainliest)
Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?
Answer:
175.79* .0825 = 14.50 + 175.79 = 190.29 $190.25
Step-by-step explanation:
The amount of sales tax Samuel will pay is $14.50
Sales tax rateGiven the following information
cost of office supplies = $175.79 sales tax rate = 8.25%Get the amount of sales tax:
Amount of sales tax = 8.25% of $175.79
Amount of sales tax = 0.0825 * 175.79
Amount of sales tax = $14.50
Hence the amount of sales tax Samuel will pay is $14.50
Learn more on sales tax here: https://brainly.com/question/9437038
What are the partial products of 364 x 257?
PLS HELP WILL GIVE BRAINLIEST!! What is the average of these three numbers: 6.72, 8.40, 8.40
Answer: 7.36
Step-by-step explanation:
avg = (6.72 + 8.40 + 8.40)/3 = 23.52/3 = 7.36
Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?
Answer:
Gail will have 8 cards before adding those 10, 18 if she added those 10.
Step-by-step explanation:
When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.
Answer:over 10
Step-by-step explanation:
Get sticke bugged lol
is 50.11111111... a rational number answer fast ill give brainliest
Answer:
the answer is irrational
Can anyone help me please??
Answer:
A goes with C
B goes with D
C goes with A
D goes with B
Step-by-step explanation:
The probability of breaking a window while playing baseball in the backyard is 0.78. What is the likelihood that a window will be broken?
A.unlikely
B.neither unlikely nor likely
C.likely
D.certain
Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
6 for one CD and 5 for one DVD
Step-by-step explanation:
Ayuda por favor en la actividad 3 , Funciones, Matemáticas
Answer:
y = 1
y = 16
y = 20
y = 0
Step-by-step explanation:
Por cada valor de x intercambialo con su valor nuevo.
answer first get brainliest!!
Rahul is wrapping a gift that has the dimensions shown. What is the least amount of wrapping paper he will need?
pls answer fast 5 pts!!! ill choose brainliest first!!
Answer:
24
Step-by-step explanation:
edge 2021
tep-by-step solution Step 1 of 4 The objective is to find the least amount of wrapping paper you need. Chapter 11, Problem 65RE is solved. View this answer View a sample solution Step 2 of 4 Step 3 of 4 Step 4 of 4 Back to top Corresponding textbook Mathematical Practices, Mathematics for Teachers | 1st Edition
find the difference between the product of -9.5 and 6.4 and their sum
Answer:
-60.8-(-3.1)= -57.7
Explain:
(-9.5)6.4 = -60.8
(-9.5) + 6.4 = -3.1
How many solutions does the equation have? 4(3-5)+2=4-18 please help
The answer is probs 2 because i estimated it and it looks like it would