Answer:
A, B, D, E
Step-by-step explanation:
[tex]\sqrt{81}[/tex] = ± 9 → D and E
Since 9 × 9 = 81 and - 9 × - 9 = 81
[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B
- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A
The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If
9 workers can complete a job in 56 minutes, how many minutes would it take 14 workers?
Do not include the units in your answer.
Answer:
38
Step-by-step explanation:
If 9 workers can complete a job in 56 minutes, then it takes 36 minutes for 14 workers.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that amount of time needed to complete a job, t, varies inversely with the number of workers, w.
t=k/w
k is a constant
9 workers can complete a job in 56 minutes
t=56 and w=9
56=k/9
Apply cross multiplication
k=9×56
k=504
We need to find how many minutes would it take for 14 workers.
t=504/14
t=36
Hence, it takes 36 minutes for 14 workers.
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which graph best represents the line y= -1/5x+2
Answer:
B
Step-by-step explanation:
Line crosses y-axis at 2.
Slope = [tex]\frac{-1}{5}[/tex]
For each 1 square the line rises/falls it moves to the right/left 5 squares.
Negative slope lines are downhill left to right.
The correct graph to represent the line y = -1/5 x + 2 will be;
⇒ Graph 2
What is Equation of line?
The equation of line with slope m and y intercept at point b is given as;
y = mx + b
Given that;
The equation of line is;
⇒ y = - 1/5 x + 2
Now,
The standard form of the equation of line with slope m and y intercept at point b is given as;
y = mx + b
By comparing we get;
Slope (m) = - 1/5
In the second figure;
Let two points on the graph (0, 2) and (5 , 1).
So, Slope is defined as;
m = (1 - 2) / (5 - 0)
m = - 1 / 5
And, Clearly the y - intercept is at point 2.
Therefore,
Graph 2 shows the correct graph to represent the line y = -1/5 x + 2.
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I need some assistance please.
Answer:
[tex] 48 - 20x = 9 [/tex]
Step-by-step explanation:
[tex] 2 - \dfrac{5}{6}x = \dfrac{3}{8} [/tex]
Multiply both sides by the LCD which is 24.
[tex] 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) [/tex]
[tex] 48 - 20x = 9 [/tex]
Maria has 72 flowers and four vases she put the same number of flowers in each vase how many flowers are in one vase
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum of b?
What is the factored form of the trinomial?
Answer:
(x - 1)(7x + 4)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × - 4 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
7x² - 7x + 4x - 4 ( factor first/second and third/fourth terms )
= 7x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(7x + 4) ← in factored form
Answer:
-7 and 4
(7x+4)(x-1)
Step-by-step explanation:
Answer thi question plz
Answer:
Q.5
Step-by-step explanation:
(2x)^3+3×(2x)^2×3y+3×2x×(3y)^2+(3y)^3
8x^3+3×4x^2 × 3y + 3×2x×9y^2 + 27y^3
8x^3 + 36x^2 × y + 54xy^2 + 27y^3
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Given:
Divide 73.85 by 4.1.
To find:
The first step when applying properties of operations to divide 73.85 by 4.1.
Solution:
We have,
Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]
Here, the dividend is 73.83 and divisor is 4.1.
First, we have to remove the decimals.
In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.
So, multiply the divisor and dividend by 100 to remove the decimal.
Therefore, the first step is "Multiply the divisor and dividend by 100".
Answer:
B
Step-by-step explanation:
What is the first step when applying properties of operations to divide 73.85 by 4.1?
A group of friends wants to go to the amusement park. They have $214.25 to spend on parking and admission. Parking is $6.75, and tickets cost $20.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
10 friends can go to the amusement park
Step-by-step explanation:
214.25 = 6.75 + 20.75x
207.50 = 20.75x
x = 10 friends can go
[tex]solve \: \\ \\ find \: the \: area \: of \: rectangle \: \\ \\ length = 11cm \\ \\ width = 9cm[/tex]
Area = l ×b
[tex]a = l \times b \\ a = 11 \times 9 \\ a = 99[/tex]
what is the length of RS? no links.
Answer:
25 units
Step-by-step explanation:
TR = TQ
2x + 10 = 18
2x = 8
x = 4
RS = QS
RS = 9x - 11
RS = 9(4) - 11
RS = 25
Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1
Answer: B) y = -x+ 5
Step-by-step explanation:
If the x-value in the solution (x, y) is 2, then the y-value is:
[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]
So the solution coordinate is (2, 3).
Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.
A) y = -2x + 4
[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]
B) y = -x+ 5
[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]
C) y = 2x
[tex]y=2x\\y=2(2)=4[/tex]
D) y = 2x + 1
[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]
PLEASE HELP MEEEEEEE
Answer:
7
Step-by-step explanation:
Here we have the hypotonouse and an angle
we are looking for the side opposite to the angle
this means we should use SOH
sin(26)=(x/16)
16*sin(26)=x
x=7.01393
which is closest to 7
A particle is projected vertically upwards . It attains a height h after 2 seconds and again after 10 seconds . the height h is numerically equal to
Answer:
320m
Step-by-step explanation:
that is the procedure above
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.
Answer:
Fifth degree polynomial
Step-by-step explanation:
Given data:
e^0.3
error = 0.0001
let the function ; f(x) = e^x
note : x = 0.3
The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!
= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!
Attached below is the remaining part of the solution
Find the area of the figure below
Answer:
35.2 cm²Step-by-step explanation:
The area is:
A = 2(3.5*2) + 7*2 + 2(1.8*2) = 35.2 cm²We can find the area,
→ 2(3.5 × 2)+ (7 × 2) + 2(1.8 × 2)
→ 14 + 14 + 7.2
→ 35.2 cm²
Thus, the area is 35.2 cm².
Please help me I don’t understand I have been working on this question for 14 minutes!!!m
Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
Answer:
x=11
B=80
Step-by-step explanation:
8x-8=5x+25
3x=33
x=11
B=5(11)+25
B=80
Find the value of x,rounded to the nearest tenth
Answer:
Step-by-step explanation:
The formula for this is
14(20) = 25x and
280 =25x so
x = 11.2
Someone please help me with this math problem?
Answer:
D
Step-by-step explanation:
5(x-5)=353 + x
the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.
Answer:
B
Step-by-step explanation:
We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.
We know that his score on the fifth test is five points lower than the average of all five tests.
To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:
[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]
Simplify:
[tex]\displaystyle =\frac{353+x}{5}[/tex]
His test score x is five points lower than the average. Hence:
[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]
Rewrite. We can add five to both sides:
[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]
And multiply both sides by five. Hence:
[tex]\displaystyle 5(x+5)=353+x[/tex]
Thus, our answer is B.
Notes:
By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.
If that is true, then his average score of all fives tests will be:
[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]
82 is indeed five points fewer than 87, so our answer is correct and matches the given information.
suppose you start with a single bacterium of streptococcus at hour 0 , and it has a generation time of 60 minutes. how many bacteria will you have at the end of hour 24
Answer:
60x24
Step-by-step explanation:
60x24=1224
lic/activity/6000001/assessment
1 Pretest: Unit 6
Question 1 of 21
What is the domain of the exponential function shown below?
Rx) = 5.3x
Given:
The exponential function is:
[tex]R(x)=(5.3)^x[/tex]
To find:
The domain of the given exponential function.
Solution:
We know that the general form of an exponential function is:
[tex]f(x)=ab^x[/tex]
Where, a is the initial value and b is growth/decay factor.
This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.
We have,
[tex]R(x)=(5.3)^x[/tex]
Here, a is 1 and b is 5.3. This function is defined for all real values of x
Therefore, the domain of these type of functions is the set of all real number or it can be written as [tex](-\infty,\infty)[/tex].
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
Answer:
Subtraction property ; x = 3.25
Division property ; - 6
multiplication property ; - 125
Addition property ; 13
Step-by-step explanation:
A.)
x + 3.75 = 7
Using the subtraction property : subtract 3.75 from both sides
x + 3.75 - 3.75 = 7 - 3.75
x = 3.25
B. )
–3b = 18
According to the division property :
Divide both sides by - 3
-3b / - 3 = 18 / - 3
b = - 6
C.)
m/5 = - 25
Using the multiplication property :
m/5 * 5 = - 25 * 5
m = - 125
D.)
m – 4 = 9
Using the addition property :
Add 4 to both sides :
m - 4 + 4 = 9 + 4
m = 13
Answer:
A. Subtraction property ; x = 3.25
B. Division property ; - 6
C. multiplication property ; - 125
D. Addition property ; 13
Step-by-step explanation:
at a grocery store, an uncooked beef roast is on sale for $5.99/lb. At the same grocery store, prepared roast beef is available at the deli for $2.99/100g. How much more expensive is the deli roast compared to the uncooked roast?
Answer:
$7.58/lb
Step-by-step explanation:
raw roast: $5.99 per lb
deli roast: $2.99 for 100g
We know the price per lb of the raw roast.
Let's find the price per lb of the deli roast.
1 lb = 454 grams
454 grams / 100 grams = 4.54
1 lb is 4.54 times 100 g
If we multiply the price of 100g of deli roast by 4.54, we get teh price per lb.
$2.99/lb * 4.54 = $13.57/lb
raw roast: $5.99/lb
deli roast: $13.57/lb
difference in price of 1 lb: $13.57 - $5.99 = $7.58
Answer: $7.58/lb
Answer:
.01669 $/g or $7.57 $/lb
Step-by-step explanation:
$2.99/100g = .0299 $/g
1 lb = 453.59237 g.
$5.99/453.59237 g= .0132$/g
g(x)=x ^2 and f(x)=x-7 so what is g(f(4)
Answer:
I think the answer is 9
=====================================================
Work Shown:
f(x) = x-7
f(4) = 4-7
f(4) = -3
We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3
This will have us go from g( f(4) ) to g( -3 )
Then we plug x = -3 into the g(x) function
g(x) = x^2
g(-3) = (-3)^2
g(-3) = 9 is the final answer
Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get
g( -3 ) = 9
g( f(4) ) = 9
-------------------
An alternative route:
g(x) = x^2
g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)
g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only
g( f(4) ) = ( 4-7 )^2 ... plug in x = 4
g( f(4) ) = (-3)^2
g( f(4) ) = 9
given the figure below, what is the value of x?
Answer:
x = 6
Step-by-step explanation:
6 is x so this is the answer
I would raise it to 1grand but I’m very broke
Answer:
ITS A LOL
Step-by-step explanation:
I need help asap!! round your answer to the Nearest tenth.
Answer:
25.1
Step-by-step explanation:
the volume of a cone is V=πr^2(h /3)
plz help ASAP with explanation
Answer:
(in image attached)
Step-by-step explanation:
A.
Left: 6×-3
Right: -3×-2
Bottom: 6×-2
B.
48÷6 = 8
-42÷6 = -7
-56÷8 = -7
-56÷-7= 8
Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution
Answer:
2x-25<89
x<57
Step-by-step explanation:
2x-25<89
2x<89+25
2x<114
Divide by 2...
x<57
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What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5?
x = negative 8
x = negative 7
pls hurry
x = 7
x = 8
Answer:
c = 24
Step-by-step explanation: