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Complete Question
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + 3 )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-3b), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
C. 2b +5
D. 2b + 10
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Answer:
1 A.(a + 3b). (a - 3b), and (ab + 7)
2 D. 32 meters long and 8 meters wide
3 A. 10 units
4 B. 2b -5
5. C. 6x - 4 cm
Step-by-step explanation:
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
We pick the options one after the other
A.(a + 3b). (a - 3b), and (ab + 7)
(a² -3ab + 3ab -9b²)(ab + 7)
(a² - 9b²) (ab + 7)
a²b - 9ab³ - 63b²
C. (a + 3b). (3a - 3b), and (ab + 7 )
(3a² - 3ab + 3ab -9b³)(ab + 3)
(3a² - 9b³)(ab + 3)
3a³b + 21ab² - 9b⁴a - 27b³
B.(3a+ 3b). (a - 3b), and (ab + 7)
(3a² - 9ab + 3ab - 9b²)(ab + 7)
(3a² - 6ab - 9b²)(ab + 7)
3a³b +21a² - 6a²b² + 42ab - 9ab³ - 63
D. (a + 3b). (a-3b), and (ab + 3)
(a² -3ab + 3ab - 9b²)(ab + 3)
(a² - 9b²) (ab + 3)
a³b + 3a² - 9ab³ - 27b²
Therefore, option A.(a + 3b). (a - 3b), and (ab + 7) is the correct option
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width . If the floor area is to be 256 square meters, what must be the length and width of the building?
Area of a rectangle = Length × Width
Length of the building is to be 8 meters more than times its width.
= Length = 3W + 8
Area = 256m²
Hence:
256 =( 3W + 8 )× W
256 = 3W² + 8W
= 3W² + 8W - 256
Factorise
= 3W(W - 8) + 32(W - 8)
= (3W + 32) ( W - 8)
W - 8 = 0
W = Width = 8m
Length = 3W + 8
Length = 3(8) + 8
= 24 + 8
= 32m.
D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the width
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
Area = Length × Width
The width is 3 meter less than its length
W = L - 3
Area = 130 square units
Hence:
130 = L (L - 3)
130 = L² - 3L
L² - 3L - 130
= L² + 10L - 13L - 130
= L(L + 10) - 13(L + 10)
= (L - 13) (L + 10)
L - 13 = 0
L = Length = 13 units
L + 10 = 0
L = -10 units.
W = L - 3
L = 13 units
W = 13 - 3
W = 10 units
Therefore, the width of the room is 10 units
A. 10 units
4. One of the factors of 2b² + 15b-50 is b + 10. What is the other factor?
A.2b - 10
B. 2b -5
C. 2b +5
D. 2b + 10
2b² + 15b -50
One of the factors is b +10.
We factorise
2b² + 15b - 50
= 2b² + 20b - 5b - 50
= 2b(b + 10) - 5(b + 10)
= (2b - 5) (b + 10)
The other factor is 2b - 5
B. 2b -5
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Nachos are triangular in shape
Area of a triangle = 1/2 × Base × height
A = 1/2 bh
A = bh/2
2A = bh
h = 2A/b
The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters,
h = 2(15x² - 10x)/5x
h = 30x² - 20x/5x
h = 30x²/5x - 20x/5x
= 6x - 4 cm
the length of the height is:
C. 6x - 4 cm
does anybody know this????
Answer:
(f - g)(x) = -x² + 3x + 7 ⇒ D
Step-by-step explanation:
In the expression x - a, you will subtract a from x
Let us solve the question using this fact
∵ f(x) = 3x + 1
∵ g(x) = x² - 6
→ We need to find (f - g)(x), which means subtract g from x
∵ (f - g)(x) = (3x + 1) - (x² - 6)
→ The negative sign before (x² - 6) will change their signs
∵ - (x² - 6) = -(x²) + -(-6)
→ Remember (-)(+) = - and (-)(-) = (+)
∴ - (x² - 6) = -x² + 6
→ Substitute it in (f - g)(x)
∴ (f - g)(x) = 3x + 1 - x² + 6
→ Add the like terms
∴ (f - g)(x) = 3x - x² + (1 + 6)
∴ (f - g)(x) = 3x - x² + 7
→ Re-arrange the terms from the greatest power of x
∴ (f - g)(x) = -x² + 3x + 7
A tennis club has 27 members. 19 have black hair, 14 have brown eyes, and
11 have both black hair and brown eyes. Find the number of members with
black hair or brown eyes.
O 3
O 5
8
O 11
Answer: 11
Because if you minus 11 from both brown eyes and black hair your left with 8 from black hair and 3 from brown eyes
Can anyone answer this by sending a photo with 20-30 different numbers in a set so that I can do a project by making a class chart? This is in my Prob/Stats Class. All I need is the set of numbers; the rest I can do. Thank you!
This is for 30 points.
Answer:
i figured out how to attach lol
Step-by-step explanation:
What is the range of the function f(x) = 3/4|x|- 3
Answer:
[-3,∞)
Step-by-step explanation:
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]
Jessie read three books in one week. At this rate, how many books will she read in 3 weeks?
Answer:
Jessie will read 9 books in 3 weeks.
Step-by-step explanation:
3 x 3 = 9
Answer: 9
Step-by-step explanation: If you need an equation, you can create one:
t = total number of books read
w = weeks
t = 3w
The 3 is there because she reads 3 books weekly, so you multiply the number of weeks by the number of books she reads.
Plug in 3 weeks:
t = 3(3)
t = 9 books
Jessie reads 9 books in 3 weeks.
If a number is odd, then it has a remainder of 1 when divided by 2.
Which is the hypothesis of the conditional?
Answer:
The hypothesis of the conditional is "A number is odd".
Step-by-step explanation:
The statement can be represented by the following proposition:
[tex]P \implies Q[/tex] (Eq. 1)
Where:
[tex]P[/tex] is the hypothesis of the proposition.
[tex]Q[/tex] is the conclusion of the proposition.
[tex]\implies[/tex] - Binary connector, which means "If...., then...."
In this case, we present what each propostion represents:
P = A number is odd.
Q = It has a remainder of 1 when divided by 2.
In consequence, the hypothesis of the conditional is "A number is odd".
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.
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
Solve using elimination.
2x - 3y = -1
3x + 4y = 24
a.) (0,6)
b.) (1,1)
c.) (4,3)
d.) (8,0)
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:
What is the equation olf the line that is parallel to the gven line and has an x-intercept of 3? Oy-x+3 Oy-x+2 Oy=-x+3 Oy=-x+2
Answer:
It’s D
Step-by-step explanation:
The equation of the parallel line is y = x - 3, the correct option is C.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
x-intercept = 3
Now,
we can find the equation of the line parallel to the given line and passing through the point (3, 0):
The given line has an equation of y = x + 3. This is already in slope-intercept form, so we can see that the slope is 1. The parallel line will have the same slope of 1.
The point that the parallel line passes through is (3, 0). We can use this point and the slope to write the equation of the parallel line in point-slope form:
y - 0 = 1(x - 3)
y = x - 3
Therefore, the slope intercept will be y=x-3
Learn more about y-intercept here:
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In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.
Complete Question
Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.
1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%
Answer:
a
The probability that Philippines will win the game is [tex]P(A) = 0.6055 [/tex]
b
The probability that Philippines will lose the game is [tex]P(B) = 0.00365[/tex]
c
The probability that the game will be sent to overtime is [tex]P(C) = 0.06 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of Paul Dalistan making a shot is p = 0.846
The probability of Paul Dalistan not making the shot is [tex]q = 1- p = 1- 0.846=0.154[/tex]
Paul Dalistan team was down by two points
This mean that for Paul Dalistan's team to win the game he must make the 3 free throws
So the probability that Philippines will win the game is mathematically represented as
[tex]P(A) = p^3 [/tex]
=> [tex]P(A) = 0.846^3[/tex]
=> [tex]P(A) = 0.6055 [/tex]
Gnerally for Paul Dalistan's team to loss the game it means that Paul Dalistan did not make any of the free shot
Hence the probability that Philippines will loss the game is
[tex]P(B) = q^3[/tex]
=> [tex]P(B) = (0.154 )^3[/tex]
=> [tex]P(B) = 0.00365[/tex]
Generally for the game to be sent to overtime then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots
Hence the probability that game will go to overtime is
[tex]P(C) = 3 * 0.846 * 0.154 * 0.154[/tex]
[tex]P(C) = 0.06 [/tex]
Can you help me solve for a?
Answer:
10
Step-by-step explanation:
We can look at the denominators(bottom numbers in a fraction), and find a relationship. 15 is 5 times 3, so let's multiply 2 by 5 to get z!
2(5)=10
Guys PLZZZ help meeeess
Answer:
Answer to 1. 2. 3.
Step-by-step explanation:
1. Pairs of socks: 1, 4, 5, 10
Cost in dollers: 2.50, 10, 12.50, 25
you can buy 10 pairs of socks for 25$
2. Miles: 35, 280, 420
Gallons: 1, 8, 12
Mr. fink cand drive 280 miles on 8 gallons of gas.
3. Pages 1, 2, 3, 4, 5, 6
Stickers: 9, 18, 27, 36, 45, 54
Jenny has 54 stickers in her unicorn sticker book.
What is 17,683 rounded to the nearest ten thousand?
20,000
Thankyou :)
Follow me....
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
evaluate -3/5x+y by replacing x with -1/2 and y with 1/2 ?
yeah I’m bad at math help out this is frustrating.♀️
Substitute x with -1/2 and y with 1/2.
So the equation will look like this:
= -3/ 5(-1/2) + (1/2)
= -3/ -2.5 + 1/2
= -3/ -2
= 1.5
Therefore, the answer is 3/2 or 1.5.
Dante and Erica just returned from a comic bookstore that sells new and used comic books.
Dante spend $10.25 on 2 new and 3 old books, and Erica spend 13.75 on 10 used and 3 new
ones. Which system of equations can be used to find how much the new and old books costs?
Please Need i ASAP
I will give brainliest the correct answer!
What is the range of the linear equation graphed?
A. R: -1 < y < 3
B. R: 3 < y < -1
C. R: - 1 <= y <= 3
D. R: 3 <= y <= - 1
Answer:
A. R: -1 < y < 3
Express 30 ^1/3 in simplest radical form.
Answer:
10
Step-by-step explanation:
the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?
Answer:
they also can be considerd perpendicular because they interset and make a 90 degree/right angle
Step-by-step explanation:
Sabendo que as retas r, s e t são paralelas, determine o valor de x na imagem a seguir
a)3
b)3,2
c)3,5
d)4
Answer:
x = 3.2
Step-by-step explanation:
Aquí, queremos encontrar el valor de x en la imagen de arriba.
Matemáticamente eso sería;
x / 4 = (x + 16) / (20 + 4)
x / 4 = (x + 16) / 24
Cruz multiplicar 24 * x = 4 (x + 16)
24x = 4x + 64
24x - 4x = 64
20x = 64
x = 64/20 x = 3,2
From the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.
It is given that r, s, t are parallel to each other. The length of the sides is given as 16, 20, 4, x. we need to find the value of x.
What is the transversal proportionality theorem?If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
From the transversal proportionality theorem,
When r, s, t are parallel to each other then a / x = b / y
so,
[tex]\rm \frac{16}{x} = \frac{20}{4} \\\rm x = \frac{16}{5} \\\rm x = 3.2[/tex]
Therefore, from the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.
Learn more about the transversal proportionality theorem here:
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Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8
3 True or False
6 True or False
7.1 True or False
5/3 True or False
19/5 True or False
45/7 True or False
Answer:
Pretty Sure It's, B, C, F, H
Step-by-step explanation:
Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!
Answer:
B C F H
Step-by-step explanation:
hope this helps can i please have brainliest that would be great
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
i need help finding the value of x
Answer:
Step-by-step explanation:
The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.
Answer:
theb correct answer is d VHow does your body’s flexibility naturally change as you age?
Step-by-step explanation:
i will give u brainliest
Answer:
7 and the remainder is 0
Step-by-step explanation:
If there are 20 apples in the fridge and 9 on the table, what is the ratio of apples in the fridge to apples on the
table?
Your rating: 5.0 - Excellent!
Answer:
0.48
Step-by-step explanation:
Multiply 0.6 and 0.8 to get 0.48.
0.48