Answer:
i believe is 4
Step-by-step explanation:
If you 2y=-4x+12
need to get the Y by it self
Andrew's sandwich consists of a 20-gram piece of cheese, a 60-gram piece of turkey, and two 30-gram slices of bread. What is the total weight of Andrew's sandwich, in kilograms?
Answer:
20g+60g+30g+30g=140g.
Answer: 0.14kg
Step-by-step explanation:
convert to kilograms by moving the decimal over 3 places to the left.
3√7×2√3×2√21
simplify
Answer:
root 7 × root 7= root 21
Step-by-step explanation:
root21×root21=21 now 12×21 =252
Write a formula that estimates the change in the volume Vx of a cube when the edge lengths change from a to ax. Then use the formula to estimate the change in volume when x changes from cm to cm.
Answer:
a. [tex]dV = 3x^2\ dx[/tex]
b. See Explanation
Step-by-step explanation:
Given
Shape: Cube
Solving (a); Formula that estimates the change in edge length
The volume (V) of a cube is:
[tex]V = x^3[/tex]
Where
[tex]x = edge\ length[/tex]
The change in volume is got by:
[tex]dV = \frac{d}{dx}(x^3)[/tex]
Differentiate [tex]x^3[/tex]
[tex]dV = 3x^2\ dx[/tex]
Where
[tex]dx = x_2 - x_1[/tex] i.e. change in x
Solving (b):
The initial and final edge lengths are not given.
In order to solve this question, I'll assume that x changes from 5cm to 5.01cm
So, we have:
[tex]x = x_1 = 5cm[/tex]
[tex]x_2 = 5.01cm[/tex]
Substitute these values in [tex]dV = 3x^2\ dx[/tex]
[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]
[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]
[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]
[tex]dV = 075cm^3[/tex]
The graph of the function f(x)=V x+4 is shown below
The domain of the function is
Answer:
The function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Step-by-step explanation:
Given the expression of the function
[tex]f\left(x\right)=\sqrt{x+4}[/tex]
We know that the domain of the function is the set of input values for which the function is real and defined
We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.
so
[tex]x+4\ge \:0[/tex]
subtract 4 from both sides
[tex]x+4-4\ge \:0-4[/tex]
simplify
[tex]x\ge \:-4[/tex]
Therefore, the function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Which table represents a direct variation?
Table A
x
4
6
8
10
y
7
9
11
13
Table B
x
4
6
8
10
y
12
18
24
30
Table C
x
4
6
8
10
y
1
3
5
7
Table D
x
4
6
8
10
y
3
3
3
3
Table A
Table B
Table C
Table D
Answer:
table c
Step-by-step explanation:
Answer:
The answer is table b
Step-by-step explanation:
Which of the following is the graph of x^2 < 25?
Graph A
Graph B
Graph C
Graph E
Graph D
Graph F
Answer:
B
Step-by-step explanation:
Graph B represents the values of x when x²<25.
If you take the square root of both sides, you get ±x<5
This means that x is any value in between, but not including, -5 to +5.
Answer:
i think its b
Step-by-step explanation:
ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Complete Question
Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Answer:
The 90% confidence interval is [tex]0.748 < p < 0.842[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of people that watched the educational television is [tex]k = 159[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{159}{200}[/tex]
=> [tex]\^ p = 0.795[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} } [/tex]
=> [tex]E = 0.04696 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.795 -0.04696 < p < 0.795 + 0.04696[/tex]
=> [tex]0.748 < p < 0.842[/tex]
Solve the following problems using linear functions.
a. Suppose there’s a linear relationship between your height and your shoe size: s = (1/10)h + 5, where h is measured in inches. If you’re 5 feet, 10 inches tall, what size shoes do you take? (Remember that 1 foot = 12 inches.)
b. Runner A and Runner B are competing in a race. Runner B is given a 10-meter head start and is therefore positioned 10 meters in front of the starting line. The starting gun sounds, and Runner B runs at a constant speed of 2.5 meters per second (m/s). After 10 seconds, how far is Runner B from the starting line?
Answer: a.) I take a shoe size 12
b.) Runner B is 35 m from starting line
Step-by-step explanation:
a) The variable h (height) is in inches, so, first, transform feet in inches:
1 ft = 12 in
5ft = 5.12 = 60 in
My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70
To determine my shoe size:
[tex]s=\frac{1}{10}(70)+5[/tex]
s = 12
For me, who is 5ft 10in tall, my shoe size is 12.
b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:
[tex]x=x_{0}+v.t[/tex]
where
x₀ is initial position
v is speed
t is time
Replacing and solving:
x = 10 + 2.5t
x = 10 + 2.5(10)
x = 35
After 10s, Runner B is 35 meters ahead of the starting line
How is the area of a polygon defined?
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
Find the domain and range of the function represented by the graph.
Question in picture please use the picture and write it down
Answer:
Radius is 2.
2πr= 4π
r=4π/2π
r=2
Kyle saves 8% of his income for a new car. This year his salary was $2,000 less than in the previous year, and he saved $3,000. What was his salary in the previous year?
Answer:
let this previous income be x
then 8% of (x-2000) = 3000
or, 8/100*(x-2000) = 3000
or, x - 2000 = 3000/0.08
or, x -2000 = 37500
x = 37500+2000 =39500 is his previous year salary
Step-by-step explanation:
Mrs. Perez can type 180 words in 6 minutes. What is her average speed in words per minute?
Kyra has a summer job selling ice-cream bars. She is paid $40 per day. She is also paid a commission
of $0.25 for each ice-cream bar she sells.
a. Write an algebraic expression that represents this statement.
b. How much can Kyra earn in one day if she sells 77 ice-cream bars?
Answer:
muliply those numbers. and then divide from the amount of money she has.
Step-by-step explanation:
A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is modeled by the function R(x)=5.6x.
How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.
Answer:
18162 widgets
Step-by-step explanation:
Given
[tex]C(x)=0.92x+85000[/tex]
[tex]R(x)=5.6x.[/tex]
Required
Determine the price at break even point
At breakeven point, the following relationship exists
[tex]Rx = C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]5.6x = 0.92x +85000[/tex]
Collect Like Terms
[tex]5.6x - 0.92x =85000[/tex]
[tex]4.68x =85000[/tex]
Make x the subject
[tex]x = \frac{85000}{4.68}[/tex]
[tex]x = 18162.3931624[/tex]
[tex]x = 18162[/tex] --- Approximated
Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Use the equation from the previous question to solve the equation. Circle your answer
Answer:
12.4+16.9= 29.3 feet
Step-by-step explanation:
hope this helps
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?
Answer:
first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.
So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
- Z
106°
Х
W W
O
Answer:
∠x = 74°Step-by-step explanation:
wxz = wxy + yxz
180 = x + 106
x = 180 - 106
x = 74°
Brian deposited $1,075 in an account that pays 2.35% simple interest for 3 ½ years. (9 pts.) How much total interest did the account earn? ______________ What is the ending balance in the account? ______________ How much interest did the account earn in the first year? _______________
Answer:
The total interest the account earned was $88.41.
The ending balance in the account is $1,163.41.
The account earned $25.26 in interests in the first year.
Step-by-step explanation:
The simple interest is one that does not accumulate to the initial capital, that is to say that the capital does not accumulate over the years.
Therefore, if Brian deposited $ 1,075 in an account with an interest of 2.35% per year for 3 and a half years, to obtain the total interest generated by the account, the following calculation must be performed:
(1,075 x 2.35 / 100) x 3.5 = X
25.2625 x 3.5 = X
88.41 = X
Thus, the interest generated during the first year was $ 25.26, while the accumulated interest during 3 and a half years was $ 88.41. In turn, since 88.41 + 1,075 equals 1,163.41, that is the resulting amount after the end of the investment.
help i mark brainlist
Answer:
Albert 4 both
Step-by-step explanation:
Albert is debting
I think its Albert, but dont take my word for it.
assemble the proof by dragging titles to the statements and reason columns
Given: <2 and <4 are vertical angles
Prove: <2=<4
Answer:
ok
Step-by-step explanation:
<2 and <4 are vertical angles <2=<4
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:( please help I am failing
Answer:
4
Step-by-step explanation:
sorry if it wrong
Answer:
4
Step-by-step explanation:
The answer is 4 because if you can count, then you can see that there 4 ticks/lines between each number.
(TIP: Do NOT count the actual number, just the line for the answer)
What is the area of the trapezoid?
6 on top 8 in middle and 16 on bottum
Evaluate the expression when a=1\4 and b=6. -8ab
Answer:
-12
Step-by-step explanation:
-8 * ( 1/4) * (6)
= -12
Answer:
-12
Step-by-step explanation:
You must multiply 8 x 1/4 x 6 to get your answer
please help me
,...........
Step-by-step explanation:
42 boys can count.
the probability that any pupil is a boy and can count?
0.42
A restaurant is offering 2 specials: 10 burritos for $12, or 6 burritos for $7.50. Noah needs 60 burritos for his party. Should he buy 6 orders of the 10-burrito special or 10 orders of the 6-burrito special?
Answer:
6 orders of the 10 burrito special
Step-by-step explanation:
10 burritos for $12
60 burritos for $72.
6 burritos for $7.50
10 burritos for $75
So the 10 burritos for $12 is better.
Hope this helps :D
Please help me ASAP it’s times THANK U
Answer:
Only choices C and D are solutions
Step-by-step explanation:
6x + 3y = -15
y = -2x - 5
6x + 3y = -15
6x + 3(-2x - 5) = -15
6x - 6x - 15 = -15
0 = 0
Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.
We need to check each choice in just one equation.
Let's use the second equation.
y = -2x - 5
A.
(2, 7)
7 = -2(2) - 5
7 = -4 - 5
7 = -9 False
Not a solution
B.
(5, 0)
0 = -2(5) - 5
0 = -10 - 5
0 = -15 False
Not a solution
C.
(-3, 1)
1 = -2(-3) - 5
1 = 6 - 5
1 = 1 True
Solution
D.
-13 = -2(4) - 5
-13 = -8 - 5
-13 = -13 True
Solution
Answer: Only choices C and D are solutions
I need help with this! Thanks!!
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?