Answer:
B
Step-by-step explanation:
The equation representing direct linear variation is
y = kx ← k is the constant of variation
The only equation in this form is
y = [tex]\frac{1}{2}[/tex] x ( with k = [tex]\frac{1}{2}[/tex] )
Simplify 4a^3b^2 x 3a*6b^5
Answer:
Step-by-step explanation:
(4a³b² )* (3a⁶b⁵) = 4*3 *a⁽³⁺⁶⁾ * b⁽²⁺⁵⁾
= 12a⁹b⁷
The minimum cost for an Uber ride is $9. A fee of $1.50 will be added for each additional mile. Write a piece wise function to model the situation
Answer: 9 + 1.50m
Step-by-step explanation:
From the question, we are informed that the minimum cost for an Uber ride is $9 and that a fee of $1.50 will be added for each additional mile.
A piece wise function to model the situation will be:
= 9 + 1.50m
where m = every additional mile
For example, if a person takes 4 additional miles, this will be calculated as:
= 9 + 1.50m
= 9 + 1.50(4)
= 9 + 6
= $15
The scores on a test given to all juniors in a school district are normally distributed with a mean of 73 and a standard deviation of 7. Find the percent of juniors whose score is below 66. The percent of juniors whose score is at or below 66 is
Answer:
The probability of juniors whose score is at or below =0.1587
The percentage of juniors whose score is at or below 66
P(X≤ 66) = 0.1587 = 15 percentage
Step-by-step explanation:
Explanation:-
Given mean of the Population (μ) = 73
Given standard deviation of the Population(σ) = 7
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{66-73}{7} = -1[/tex]
The probability of juniors whose score is at or below 66
[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex]
= 1 - P( Z>Z₁ )
= 1-( 0.5 +A( Z₁)
= 0.5 - A(-1)
= 0.5 - A(1) (∵ A(-1) = A(1))
= 0.5 - 0.3413
= 0.1587
The probability of juniors whose score is at or below 66
[tex]P(X\leq 66 ) = P(Z\leq -1)[/tex] = 0.1587
The percentage of juniors whose score is at or below 66
P(X≤ 66) = 15 %
Use the slope-intercept form to graph the equation y=5/4x-1
Answer:
m = 5/4
(0,-1),(4/5,0)
Join the dots to obtain the graph!
What is the value of the expression 1/2-(-1/3 + 2/5)?
Answer:
13/30
Step-by-step explanation:
Add: -1/
3
+ 2/
5
= -1 · 5/
3 · 5
+ 2 · 3/
5 · 3
= -5/
15
+ 6/
15
= -5 + 6/
15
= 1/
15
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - minus one third plus two fifths = one fifteenth.
Subtract: 1/
2
- the result of step No. 1 = 1/
2
- 1/
15
= 1 · 15/
2 · 15
- 1 · 2/
15 · 2
= 15/
30
- 2/
30
= 15 - 2/
30
= 13/
30
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 15) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 15 = 30. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - one half minus one fifteenth = thirteen thirtieths.
HELP ME!!!!! Which choices are equivalent to the fraction below? CHECK ALL THAT APPLY.
Answer:
A and E
Step-by-step explanation:
9^3 / 9^3
Same number on top and bottom so 1 is an answer
look at the exponents, when dividing with exponents, you just subtract them, so it could also be 9^0, which is also 1
Answer:
A. 1 and E. 9^0
Step-by-step explanation:
9/9 = 1
You can check this by actually solving the problem:
9^3 = 9*9*9 = 729
So...
729/729 = 1
Also, any number to the power of zero is one, so 9^0 is also a correct answer
Barb owes $40 interest on a loan of $2000 , if the money was borrowed for 1 year , what's the simple interest rate
Answer: 2%
Step-by-step explanation:
As the loan was only for a year at simple interest, find out how much of $2,000, $40 is:
= 40/2,000
= 2%
write the sentence as an inequality. thirteen is at least the difference of a number v and 1.
Answer:
v - 1 ≥ 13.
Step-by-step explanation:
'is at least' is written as ≥ ( greater or equal to).
v - 1 ≥ 13.
The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of the altitude by 1cm.Find the length of each side of the triangle
Answer: a = 8; b = 15; c = 17
Step-by-step explanation:
c = b + 2 and c = 2a + 1
b = c − 2 and a = [tex]\frac{c-1}{2}[/tex]
c² = b² + a²
[tex]c^{2} = (c-2)^{2} + \frac{c-1}{2}\\[/tex]
[tex]c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}[/tex]
[tex]4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c[/tex]
[tex]4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c[/tex]
[tex]c^{2}-18c+17=0[/tex]
[tex]c(c -17)-1(c-17)=0[/tex]
[tex](c -1)(c-17)=0[/tex]
c = 1 or c = 17
If c = 1 then b = 1 - 2 = -1, that's not possible
So x = 17
b = 17 - 2 = 15
a = [tex]\frac{17-1}{2} = 8[/tex]
Length sides of the triangle are 17 cm, 15 cm and 8 cm.
I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.
[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\[/tex]
This shows that this is correct.
Hope this helped! Again, some of this was from a site, not from me.
If f(x)=-3x-2, find each value.
1. f(3)
Answer:
-11
Step-by-step explanation:
If F of x is 3, you would implement it into the equation. F(3)= -3(3)-2= -9-2= -11
Identify the equation that describes the line in slope-intercept form.
slope =−2, point (−4,3) is on the line
answer choice
y = −2x + 5
y = −2x + 3
y = −2x + 11
y = −2x − 5
Answer y-2x+5 or it will be y=-2x+11
Step-by-step explanation:
Answer:
I have
Step-by-step explanation:
No idea i just need points sorry wyatt
PLease help how do i solve this?!
Answer: think its A because that little square box is a angle of a angle triangle.i won't get my answer right. cool
Step-by-step explanation: i can't explain this
Is a decorative block , made up of two solids -a cube and a hemisphere. The base of the block is a cube of side 6cm and the hemisphere fixed on the top has a diameter of 4cm. Find the total surface area of the block(use ⫪ = 3.14) *
Answer:
The surface area of the decorative block is 253.68 cm²
Step-by-step explanation:
The decorative block is a composite figure comprising of the following parts;
1) A solid cube with side length, S = 6 cm
2) A hemisphere with diameter, D = 4 cm
The surface area of the decorative block = The surface area of the solid cube + The surface area of the hemisphere
The surface area of the components of the decorative block are as follows;
The surface area of the solid cube = 6 × S² = 6 × (6 cm)² = 216 cm²
The surface area of the hemisphere = π·D²/4 + π·D²/2
∴ The surface area of the hemisphere = 3.14 × (4 cm)²/4 + 3.14 × (4 cm)²/2 = 37.68 cm²
∴ The surface area of the decorative block = 216 cm² + 37.68 cm² = 253.68 cm².
Donald is the CEO of a company and earns three times as much as the combined salary of his two vice presidents, Susan and Kurt. If Susan earns s and Kurt earns k, then how much does Donald earn in terms of s and k?
Answer:
Donald earnings = 3(s + k)
Step-by-step explanation:
Susan earnings = s
Kurt earnings = k
Combined salary = s + k
Donald earns earns three times as much as the combined salary of his two vice presidents,
Donald earnings = 3(s + k)
= 3s + 3k
Simplify: 3(2a + b) - 5(a – 3b)
Helpppppppppppppppppppppppppppp
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
10.5x - 1.9 = 19.1
Step 2: Solve for x
Add 1.9 to both sides: 10.5x = 21Divide 10.5 on both sides: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10.5(2) - 1.9 = 19.1Multiply: 21 - 1.9 = 19.1Subtract: 19.1 = 19.1Here we see that 19.1 does indeed equal 19.1.
∴ x = 2 is a solution to the equation.
Please help me thanks please
Answer: V = 56.5486678 m3
there's the full answer.
you'd round it to 57
WILL GIVE BRAINLIEST
Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters. What is the Perimeter of the scale drawing?
What is the Perimeter of the actual flag?
Answer:
scale = 14.5 cm perimeter
actual = 29 inch perimeter
Step-by-step explanation:
To find the perimeter of the scale drawing, we can just add up the scale sides.
This would be 2.5 + 2.5 + 4.75 + 4.75 = 14.5 cm perimeter
For the real flag, we know that for each cm on the scale flag, it represents 1 inch on the actual flag.
2.5/.5 = 5 inch length
4.75 / .5 = 9.5 inch width
5 + 5 + 9.5 + 9.5 = 29 inch perimeter
You buy 3.19 pounds of oranges, 1.45 pounds of peaches, and 1.88 pounds of apples. What is your total bill?
Answer i dont know the amount of the items
Step-by-step explanation:
give us the amount of them please
A serving of ice cream contains 6400 calories. 1600 calories come from fat.
What percent of the total calories come from fat?
Answer:
25%
Step-by-step explanation:
6400/1600=4
1/4= 25%
What is the value of 1500 ÷ (62 + 4 ) · 37 ?
Find the total surface area of this cuboid.
Answer:
120cm
Step-by-step explanation:
it 120 cm because of length×with×hight
PLEASE HELP,, MARKING BRAINLIEST!!!
Given coordinates N(-1,-11) and P(-1,-3), find NP?
Answer:
its 8 units long
Step-by-step explanation:
since x is the same we dont have to do much since its a straight line up and down
find the difference in the ys
-11 - -3 = -8
8 units long
hope this helps <3
7th grade math help me please :)
Answer:
$288
Step-by-step explanation:
16+8=24
$24 per book
24 x 12 = 288
A line's slope is 1/5 the y-intercept is 5. What is the equation in slope-intercept form?
Answer: y = 1/5x+5
Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.
free answers if u want
Answer:
Thank you so much!!!
Step-by-step explanation:
Answer:
thanks!!
Step-by-step explanation:
What is the value of -16?
A. -4
B. -4i
C. 4i
D. 4;2
Answer:
B
Step-by-step explanation:
Answer:I don't get what d means and what it means by value but choose a.
it makes the most sense,
Step-by-step explanation:
What is the direct variation equation for the chart? Please show all of your work!
Х
y
8
2
16
4
24
6
32
8
Answer:
Hope it helps u
Step-by-step explanation:
y∝ x
y=k*x
k=y/x
now putt the first point x=8 and y=2
we get k=2/8 =1/4
and also putt 2nd point ,
x=16,y=4 we get k=1/4 and similarly for 3rd and 4th point we also get k=1/4
hence the direct variation , equation become for all is same, that is
y=(1/4)x
HELP QUICKLY!!
Tell whether the sequence is arithmetic. If it is, what is the common difference?
-19.-11, -3,5,...
Oyes; 5
Oyes; 6
Oyes; 8
Ono
Answer:
the answer to this sequence is that: u count the difference between 19 and 11 , which is 8.
again try to see if the difference is same between 11 and 3, which is again 8.
so the commin difference in this sequence is = 8
2/3(6b-12)
Please answer
Answer:
4b - 8
Step-by-step explanation:
2/3(6b - 12)
2/3 x 6 = 12/3 = 4
2/3 x 12 = 24/3 = 8
4b - 8