Answers
Answer:
Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]
Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]
Step-by-step explanation:
Part 5) we know that
The area of a square is equal to
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]A=12x^2\ ft^2[/tex]
substitute
[tex]12x^2=b^2[/tex]
Solve for b
take square root both sides
[tex]b=\sqrt{12x^{2}}[/tex]
Remember that
[tex]12=(2^2)(3)[/tex]
substitute
[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]
Applying property of exponents
[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]
Part 6) we know that
The volume of a cube is equal to
[tex]V=b^3[/tex]
where
b is the length side of the cube
we have
[tex]V=128y^3\ mm^3[/tex]
substitute
[tex]128y^3=b^3[/tex]
Solve for b
take cubic root both sides
[tex]b=\sqrt[3]{128y^3}[/tex]
Remember that
[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]
substitute
[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]
Applying property of exponents
[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]
Related Questions
Determine which of the following terms are not considered to be like terms with the expression -6s ( the two is squared like on top)2t
select all situations that apply
Answers
Answer:
[tex]s^2t^2[/tex]
[tex]4(s\cdot t)[/tex]
[tex]-6(s^2+t)[/tex]
Step-by-step explanation:
We want to select all the terms that are not considered to be like terms with [tex]-6s^2t[/tex].
The terms that are like terms with [tex]-6s^2t[/tex] must have [tex]s^2t[/tex].
It doesn't matter the coefficient.
So we can easily see that all the following are not like terms with [tex]-6s^2t[/tex]:
[tex]s^2t^2[/tex]
[tex]4(s\cdot t)[/tex]
[tex]-6(s^2+t)[/tex]
write the first four terms of the sequence defined by An=20-30(n-1)
Answers
The first four terms of sequence is 20, -10, -40, -70
Solution:
Given that we have to find the first four terms of sequence
Given recursive formula is:
[tex]a_n = 20 - 30(n-1)[/tex]
To find the first term, substitute n = 1
[tex]a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20[/tex]
Thus the first term of sequence is 20
To find the second term, substitute n = 2
[tex]a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10[/tex]
Thus the second term of sequence is -10
To find the third term, substitute n = 3
[tex]a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40[/tex]
Thus the third term of sequence is -40
To find the fourth term, substitute n = 4
[tex]a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70[/tex]
Thus the first four terms of sequence is 20, -10, -40, -70
PLEASE HELP ME WITH THIS REVIEW!!! MY TEAT IS TOMORROW AND IM CONFUSED!!!
Answers
Answer:
2. 1/13 3. 6/11 6. no, it would be about 66 people, which is less.
Step-by-step explanation: 2. since there is 4 7's you would have 4/52, -52 is how many cards total there are- and then you would simply 4/52 and get 1/13 3. there is a total of 11 marbles and 6 of them are blue so you have a 6/11 chance of getting a blue one. 54% of 124 is 66.96 which is about 66, and less than 82. ( sorry I don't know what 5 is )
Solve lxl>-9 PLS ANSWER FAST
Answers
Answer:
x= all real numbers
Step-by-step explanation:
the absolute value of x is always 0. and 0 is greater than -9
Write the answer in simplest form: 5/6 − 3/5 a. 1 13/30 b. 2/11 c. 1/2 d. 7/30
Answers
Answer:
D) 7/30
Step-by-step explanation:
5/6-3/5=25/30-18/30=7/30
In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?
Answers
Answer:
Becky scored 28
Min scored 14. Together = 42
Step-by-step explanation:
The points scored by Becky will be equal to 28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points.The points scored by Becky will be calculated as:-
Let Min score M points and Becky score B points. so the equation will be given as from the given data:-
B = 2M
B + M = 42
Now put the value of B in the second equation:-
2M + M = 42
3M = 42
M = 14
B + M = 42
B = 42 - 14 = 28
Therefore the points scored by Becky will be equal to 28.
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Simplify (5+6i)-(3-8i)-(5-3i)
Answers
Answer:
I think the answer is −3+17i
Step-by-step explanation:
:)
The simplified expression is 2 + 17i.
To simplify the expression (5+6i)-(3-8i)-(5-3i), we need to combine like terms.
Like terms are terms that have the same combination of real and imaginary parts.
When subtracting Simplifying complex numbers, we subtract the real parts and the imaginary parts separately.
In this case, the real parts are (5-3) = 2, and the imaginary parts are (6-(-8)-3) = 17.
Therefore, the simplified expression is 2 + 17i.
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Use partial quotients to solve 504 divide 14
Answers
Answer:
Perform the following division using partial quotients: 504 ÷ 14:
To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1
Step-by-step explanation:
1 4| 5 0 4
2 8 0 20 <---- 20 x 14 = 280
2 2 4 <---- 504 - 280 = 224
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10 <---- 10 x 14 = 140
8 4 <---- 224 - 140 = 84
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5 <---- 5 x 14 = 70
1 4 <---- 84 - 70 = 14
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5
1 4
1 4 1 <---- 1 x 14 = 14
0 <---- 14 - 14 = 0
Our partial quotients add up as follows:
20 + 10 + 5 + 1 = 36
I hope it helps plz Mark me brainliest:)
The partial quotients are [tex]30,6[/tex] and the value of the quotient is [tex]36[/tex].
Given:
[tex]504[/tex] divided by [tex]14[/tex].
To find:
The quotient by usign the partial quotients.
Explanation:
We have,
Dividend = 504
Divisor =14
Now,
14 | 504
420 (14 × 30)
------------------------
84 (After subtraction)
84 (14 × 6)
-------------------------
0 (After subtraction)
-------------------------
The partial quotients are [tex]30[/tex] and [tex]6[/tex] and the value of the quotient is:
[tex]30+6=36[/tex]
Therefore, the quotient of the given problem is [tex]36[/tex].
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What is equivalent to 32x + d
Answers
Answer:
An expression
Step-by-step explanation:
Need Help, I'm not sure
Answers
Multiply the pay per day by the number of days per week:
37.25 x 5 =186.25 per week.
Multiply weekly pay by number of weeks:
186.25 x 10 = 1862.50
The answer is $1,862.50
l Zach graphs some ordered pairs in
the coordinate plane. The x-values of the ordered pairs represent the
number of hours since noon, and the y-values represent the temperature
at that time.
a. In which quadrants could Zach graph points? Explain your thinking.
In what part of the world and at what time of year might Zach collect
data so that the points he plots are in Quadrant IV?
Answers
Answer:
x
Step-by-step explanation:
Midpoint between 105 and 115
Answers
Answer:
110
Step-by-step explanation:
Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.
Answe110
Step-by-step explanation:
Describe the effect an increase in n, the number of payment periods, has on the monthly payment P in the formula P = P V times StartFraction i over 1 minus (1 + i) superscript negative n Baseline EndFraction a. An increase in n, the number of payment periods, will not change P, the monthly payment. b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment. c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment. d. An increase in n, the number of payment periods, can increase or decrease P, the monthly payment, depending on the value of PV.
Answers
Answer:
Option b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment.Explanation:
The monthly payment formula described is:
[tex]P=PV\frac{i}{1-(1+i)^{-n}}[/tex]
Where:
P = monthly paymentPV = present valuei = interest rate per monthn = number of periods.Mathematically, you can reason in the following way:
When n increases, the factor (1 +i)⁻ⁿ which is equal to the 1 / (1+ir)ⁿ decreases (because the denominator increases, the fraction increases).When (1 + i)⁻ⁿ increases, 1 - (1 + i)⁻ⁿ decreases.Since 1 - (1 + i)⁻ⁿ is in the denominator, when it decreases the fraction, which is equal to P, increases.Thus, it is proved that an increase in n, the number of payment periods, will create an increase in P, the monthly payment (option b).
The BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment.
When the number of payment periods, n, increases, the monthly payment of the Liability will decrease instead of increasing, nor will it remain the same.
Thus, the BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is Option C.
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Find the 9th term of the geometric sequence
8 , 32 , 128
Answers
Answer:
the pattern seems to be to multiply by 4 so the answer would be 524,288
Step-by-step explanation:
8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288
The 9th term of the given geometric sequence is 524288.
What do we mean by geometric progression?Geometric Progression is a series/sequence in which every term is a product of its previous term and a constant. The first term is taken as 'a' and the constant is taken as 'r'. So the series goes on like a, ar, ar², ar³, ......, arⁿ⁻¹, where arⁿ⁻¹ represents the nth term.
How do we solve the given problem?We are said that the given sequence is a geometric progression.
We take the first term as a.
∴ a = 8.
The second term is given as 32. This term is the product of the first term 'a' and the constant 'r', that is, this term is ar. To find the value of r, we divide this term by a.
r = ar/a = 32/8 = 4.
The 9th term in the sequence can be found using the formula of the nth term given by,
nth term = arⁿ⁻¹.
∴ 9th term = 8*4⁹⁻¹ = 8*4⁸ = 8*65536 = 524288.
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9^2 ÷ (2 + 1) × (30 - 3^3)
9^2 ÷ (2 + 1) × (30 - 3^3)
Answers
Answer:81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9^2 ÷ (2 + 1) × (30 - 3^3) =
= 81 ÷ 3 × (30 - 27)
= 27 × 3
= 81
Reba needs to simplify the expression below.
6 and one-half + 3.5 times 2 minus 7 divided by 3
Which operation should she perform first?
Answers
Answer:
6 1/2+3.5*2-7/3 this is the statement
first convert 6 1/2 to improper fraction =13/2
Step-by-step explanation:
13/2+3.5*2-7/3
then multiply 3.5 * = 7
13/2+7-7/3
=7+ 13/2-7/3
simplify 13/2-7/3 and it will give you 25/6
7+25/6 = 32/6 or can be written as 5 2/6 which when you divide the denominator will give 5 1/3
so that is ur final anser plz mark me brainliest
Answer: Multiplication
Step-by-step explanation: stay safe❤️
a plumber charges $29 for an hour of work. How much would you charge for a job that took him 1 and 3/4 hour to finish?
Answers
What is the value of x in the equation
x − 2.4 = −6.4
Answers
Answer:
x=-4
Step-by-step explanation:
add 2.4 to -6.4
Jessica has 7 times as many paint brushes as Mike. Mike has 14 paint brushes. How many paint brushes p, does Jessica have?
Answers
Jessica have 98 paint brush.
What is Multiplication?Along with addition, subtraction, and division, multiplication is one of the four fundamental arithmetic operations. The repeated addition of groups of equal size is referred to as multiplying in math.
Given Jessica has 7 times brushes as Mike,
Mike has 14 Brushes,
let Jessica have x brushes,
equation for problem is x = 7m
where m is no. of brushes Mike have
x = 7 × 14
x = 98
Hence the number of paint brushes Jessica have is 98.
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what is the mad of 5,7.50,8.25,8,9.75,10.25,11,10.75
A 13
B 8.81
C 6
D 1.63
Answers
Answer:
B
Step-by-step explanation:
[tex]5+7.50+8.25+8+9.75+10.25+11+10.75 = 70.5[/tex]
[tex]70.5 \div 8 = 8.8125[/tex]
Answer:
1.63
Step-by-step explanation:
first we find the average of the numbers listed...do this by adding up all the numbers, then dividing by how many numbers there are.
(5 + 7.5 + 8.25 + 8 + 9.75 + 10.25 + 11 + 10.75) / 8 = 70.5 / 8 = 8.8125
now find the distance between the average and each of ur numbers.... IGNORE ALL NEGATIVE SIGNS
5 - 8.8125 = 3.8125
7.5 - 8.8125 = 1.3125
8.25 - 8.8125 = 0.5625
8 - 8.8125 = 0.8125
9.75 - 8.8125 = 0.9375
10.25 - 8.8125 = 1.4375
11 - 8.8125 = 2.1875
10.75 - 8.8125 = 1.9375
now take the average of those numbers
(3.8125 + 1.3125 + 0.5625 + 0.8125 + 0.9375 + 1.4375 + 2.1875 + 1.9375) / 8 =
13/8 = 1.625...rounds to 1.63 <=== this is ur MAD
g(x)= -4x
h(x)= 2x^3 + 5x^2 + 2x Find(2g+4h)(x)
Answers
Answer:
[tex]\large\boxed{(2g+4h)(x)=8x^3+20x^2}[/tex]
Step-by-step explanation:
[tex]g(x)=-4x\\\\h(x)=2x^3+5x^2+2x\\\\(2g+4h)(x)=2g(x)+4h(x)\\\\2g(x)=(2)(-4x)=-8x\\\\4h(x)=(4)(2x^3+5x^2+2x)\qquad\text{use the distributive property}\\\\4h(x)=(4)(2x^3)+(4)(5x^2)+(4)(2x)=8x^3+20x^2+8x\\\\(2g+4h)(x)=-8x+8x^3+20x^2+8x\qquad\text{cancel}\ 8x\\\\(2g+4h)(x)=8x^3+20x^2[/tex]
At what point should an open circle be drawn (-1,0) (0,0) (0,1) (1,0)
Answers
I think the answer would be (0,0).
Hope this helps! ;)
Answer: (0,0)
Step-by-step explanation: Just confirming, this is the right answer :)
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
Answers
Question:
Consider the sequence of numbers: [tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function
[tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]
Explanation:
A sequence of numbers are
[tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]
Let us first change mixed fraction into improper fraction.
[tex]\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}[/tex]
To find the pattern of the sequence.
To find the common difference between the sequence of numbers.
[tex]\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}[/tex]
[tex]\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}[/tex]
[tex]\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}[/tex]
[tex]\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}[/tex]
Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding [tex]\frac{3}{8}[/tex] to the previous term.
Hence, the sequence is recursive and can be represented by the function [tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]
A president and vice president for a sorority are chosen from ten people. How many different president/vice president combinations are possible?
Answers
Answer:
There are 90 ways.
Step-by-step explanation:
We have ten people and we have to chose 2 of those people to be the president and vice president. So first we can chose a president, we have 10 choices for president as there are 10 people.
Now we can chose vice president but this time we only have 9 choices because we already chose a president which gives us 9 other people to chose who the vice president is.
Now we need to multiply 10 and 9 together which gives us the total amount of possible combinations for president and vice president if there are 10 people to chose from.
10*9 multiplying
= 90.
Therefore there are 90 ways for a president and a vice president to be chosen for a sorority from ten people.
The total number of different combinations for the president and vice-president roles from a group of ten people is 90, based on the concept of permutation in combinatorics. After choosing one president among the ten people, there would be nine people left to be chosen for the vice-president position.
Explanation:This problem is about choosing two different roles (president and vice president) from a group of 10 people, with each person having a chance to occupy each role. This falls under the domain of combinatorics, a branch of mathematics dealing with combinations of objects belonging to a finite set following certain rules. We would need to use the concept of permutation in this instance. Permutations refer to the arrangement of items in a specific order.
Since all the 10 people could potentially be president, there are ten choices for the president. And after choosing a president, we would have left nine people. Among these, anyone could be vice-president, giving us nine choices for the vice-president. Hence, the total number of ways is equal to the product of the number of choices for the president and the vice-president, which is 10×9= 90.
Thus, there are 90 different combinations for the president and vice- president roles.
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X+42=85;x=43
How do u dolve
Answers
Answer: 85=85
Step-by-step explanation: You substitute the x for 43 then add the 43and 43 together
43+42 which equals 85=85
Complete the equation of the line whose slope is 5 and y intercept is (0,4)
Answers
y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)
Solution:
Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)
The equation of line in slope intercept form is given as:
y = mx + c ---- eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
Given that, slope = m = 5
y intercept is (0, 4)
So, c = 4
Substitute c = 4 and m = 5 in eqn 1
y = 5x + 4
Thus the equation of line is found
Find the value of f(-1) for the function below. F(x)= 2/3×3(3x+12)
Answers
To find the value of f(-1), substitute -1 into the given function and evaluate it to get 42.
Explanation:To find the value of f(-1) for the given function f(x) = (2/3) * 3(3x + 12), we substitute x = -1 into the function and evaluate it.
Plugging in x = -1, we have f(-1) = (2/3) * 3(3(-1) + 12).
Simplifying further, f(-1) = (2/3) * 3(9 + 12).
f(-1) = (2/3) * 3(21).
f(-1) = (2/3) * 63 = 42.
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(6x - 4) + (-4x + 8)
Answers
6x−4−4x+8 = 6x+−4+−4x+8 and then combine like terms =6x+−4+−4x+8
=(6x+−4x)+(−4+8)
Answer: 2x+4
Answer:
2x + 4
Step-by-step explanation:
(6x-4) + (-4+8)
combine like terms:
6x - 4x
-4 + 8
(6x - 4x) + (-4+8)
= 2x +4
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Which of the following is the independent variable of F(G(X))?
Answers
Answer:
x
Step-by-step explanation:
f(x) =
[tex] \sqrt[3]{x - 3} - 1[/tex]
Which of the following graphs corresponds to the function above?
Answers
Answer:
Step-by-step explanation:
the graph correspond to the function f :