Answer:
3 cups
Step-by-step explanation:
Bill needs 5 cups of paint for his bed frame.
The store only sells in quarts and so he buys 2 quarts of paint.
Let us convert to cups to see how many he bought:
1 quart = 4 cups
2 quarts = 2 * 4 = 8 cups
Bill bought 8 cups of paint. Therefore, the number of cups he has left is:
8 - 5 = 3 cups
He will have 3 cups left.
w much a quantity changes
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
As demand decreases, costs generally increase.
As supply decreases, prices increase
The average rate of change describes
As demand rises, the price of the product decreases.
te increases.
Answer:
Statements 1,3 and 4 are correct
Step-by-step explanation:
We want to select the three correct statements as related to demand and supply.
Statement 1 is correct
An increased supply would lead to saturation of the market with the product for normal goods. The saturation of the market will surely make the price of the goods in the market decrease
Statement 2 is incorrect
A decrease in demand should drive down the prices of commodities for normal goods
Statement 3 is correct
A decrease in supply means there are less goods in the market. This makes consumers want to fight more to get their share in the market which thus forces up price of these goods
Statement 4 is correct
An increase in demand would make suppliers increase the price they place on their commodities.
Simplify: (sec θ + tan θ) x (1 – sin θ)
Answer:
cosθStep-by-step explanation:
Given the expression (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ
Substituting this foremulas in the expression we will have:
(sec θ + tan θ) x (1 – sin θ)
= (1/cosθ + sinθ/cosθ)* (1-sinθ)
= (1+sinθ/cosθ) *1-sinθ
= {(1+sinθ)(1-sinθ)/cosθ}
= (1-sinθ+sinθ-sin²θ)/cosθ
= 1-sin²θ/cosθ
Also, from pythagoras therorem, sin²θ+cos²θ = 1
cos²θ = 1-sin²θ
substituting cos²θ = 1-sin²θ into the final expression above we have:
1-sin²θ/cosθ = cos²θ/cosθ
= cosθ
(sec θ + tan θ) x (1 – sin θ) = cosθ
Can someone help please 3x-y=13 A. (6,5) B.(3,-4) C. (6,5) and (3,-4) D. neither
Answer:
C. (6, 5) and (3, -4)
Step-by-step explanation:
Given the equation 3x - y = 13, we need to figure out which points satisfy it. In order for an ordered pair to satisfy an equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try with (6, 5):
3x - y = 13
3 * 6 - 5 =? 13
18 - 5 =? 13
13 = 13
Since this is true, we know that (6, 5) is indeed a solution.
Now let's try with (3, -4):
3x - y = 13
3 * (3) - (-4) =? 13
9 + 4 =?13
13 = 13
Again, since this is true, then (3, -4) must be a solution.
Thus, the answer is C.
~ an aesthetics lover
Answer: c
Step-by-step explanation:
lol
A bank offers a 1% annual interest rate for a savings account. Aaron puts $3,100
into an account to save for college. How much will be in the account after a year?
Answer:
$3,131
Step-by-step explanation:
1% of 3,100 is 31. 3,100 + 31 = 3,131.
Please help me answer these two! I’m terrible at maths
Sorry about the screen it’s on my laptop
Answer:
£54 and 168.75 mins
Step-by-step explanation:
Frank is going to an amusement park that costs $36.00 for admission. Treats cost $4.00 each. Frank does not want to spend more than $52.00 in all.
Solve for x, where x equals the number of $4.00 treats Frank can buy.
A. x=3
B. x>4
C. x≤4
D. x<14
Answer:
B: x>4
Step-by-step explanation:
You want to make an inequality first:
36+4x>52
4x + 36 − 36 > 52−36
4x > 16
4x ÷ 4 > 16 ÷ 4
x > 4
PLEASE HELP ASAP FOR ALGEBRA 1 Mr Reder has just robbed a bank and is trying to escape on foot. He is currently 3 miles from the bank and running at 5 miles per hour. Write an equation to model how far from the bank Mr Reder is after a certain amount of time has passed. How far has he gone after 3 hours? Draw an appropriate graph for this equation.
Answer:
He has ran 15 miles and passed the bank 12 miles from his location where he is at.
Step-by-step explanation:
WHY WAS HE ROBBING A BANK?????????
Answer:
Step-by-step explanation:
His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.
After 3 hours he has gone 5(3)+3 miles, or 18 miles
An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: At the 0.01 level, what is the critical value?5.291.003.241.96
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were:
Sample Programmed Instructions Lecture TV Group Discussions
1 6 8 7 8
2 7 5 9 5
3 6 8 6 6
4 5 6 8 6
5 6 8 5 5
At the 0.01 level, what is the critical value?
a. 5.29
b. 1.00
c. 3.24
d. 1.96
Answer:
The correct option is (a)
The critical value is 5.29
Step-by-step explanation:
To obtain the critical value, we need to perform a satistical test on the given data.
Since we are given data for four independent teaching methods to determine the most most effective way to teach safety principles, therefore, a one-way analysis of variance (ANOVA) may be used to get the critical value.
ANOVA:
The one-way analysis of variance (ANOVA) may be used to find out whether there is any significant difference between the means of two or more independent categories of data.
ANOVA in Excel:
Step 1:
In the data tab, select data analysis
Step 2:
Select "Anova single factor" from the analysis tools
Step 3:
Select the destination of input data in the "input range"
Step 4:
Select "columns" for the option "Group By"
Step 5:
Tick the option "labels in first row"
Step 6:
Set alpha = 0.01
Step 7:
Select the destination of output data in the "output options"
Output results:
Please refer to the attached results
As you can see in the output results, the critical value is 5.2922
Therefore, the correct option is (a)
A rectangular plot measures 20 ft. By 30ft. A 3ft wide side walk surrounds it. Find the area of the side walk
Answer:
336 feet²
Step-by-step explanation:
If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².
If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².
To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².
Hope this helped!
Solve for x -8x+44≥60 and -4x+50<58 Thanks! :)
Answer:
Step-by-step explanation:
- 8x + 44 ≥ 60
Subtract 44 from both sides
- 8x + 44 - 44 ≥ 60 - 44
- 8x ≥ 16
Divide both sides by -8 and flip the inequality sign
-8x/-8 ≤ 16/-8
x ≤ -2
x = { ......... -4,-3,-2}
2) -4x + 50 < 58
Subtract 50from both sides
-4x + 50 -50 < 58- 50
-4x < 8
Divide both sides by -4 and flip the inequality sign
-4x/-4 > 8/-4
x > -2
x= {-1, 0 , 1 , 2....... }
Answer:
1. [tex]x \leqslant - 2[/tex] 2. [tex]x \: > 2[/tex]Step-by-step explanation:
1. [tex] - 8x + 44 \geqslant 60[/tex]
Move constant to R.H.S and change its sign
[tex] - 8x \geqslant 66 - 44[/tex]
Subtract the numbers
[tex] - 8x \geqslant 16[/tex]
Divide both sides of the inequality by -8 and flip the inequality sign
[tex]x \leqslant - 2[/tex]
2. [tex] - 4x + 50 < 58[/tex]
Move constant to the R.H.S and change its sign
[tex] - 4x < 58 - 50[/tex]
Subtract the numbers
[tex] - 4x < 8[/tex]
Divide both sides of the inequality by - 4 and flip the inequality sign
[tex]x > - 2[/tex]
Hope this helps...
Best regards!!
Study the following figure, where two concentric circles share center C.
Segment AB is a diameter of the larger circle.
Segment AB intersects a chord of the smaller circle, PQ, at a right angle at point Z.
Segment AB intersects a chord of the larger circle, MN, at a right angle at point 0.
If MO=7x-4, and NO=6x, what is the length of MN
Answer:
Length of MN = 48 units
Step-by-step explanation:
AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).
Theorem says,
"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."
Therefore, MO ≅ ON
m(MO) = m(ON)
7x - 4 = 6x
7x - 6x = 4
x = 4
m(MN) = m(MO) + m(ON)
= (7x - 4) + (6x)
= 13x - 4
= (13 × 4) - 4
= 52 - 4
= 48
Length of chord MN will be 48 units.
Which functions are even? Check all of the boxes that apply. F (x) = x Superscript 4 Baseline minus x squared f (x) = x squared minus 3 x + 2 f (x) = StartRoot (x minus 2) EndRoot f(x) = |x|
Answer:
A and D
Step-by-step explanation:
Took test on edge
The functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = x⁴ - x²
To check whether the function is even or odd:
f(-x) = (-x)⁴ - (-x)²
f(-x) = x⁴ - x²
f(-x) = f(x) (even function)
Similarly for other functions:
f(-x) = x² + 3x + 2 ≠ f(x) (odd function)
f(-x) = √(-x - 2) ≠ f(x) (odd function)
f(-x) = |x| = f(x) (even function)
Thus, the functions f(x) = x⁴ - x² and f(x) = |x| are even functions, option (A) and (D) are correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
1. Bailey withdrew $135 from her checking account. Write an algebraic expression that describes answer asap
Answer:
x - 135 where x is the money you have in your bank
Step-by-step explanation:
Answer:
X-135
Step-by-step explanation:
$135 from her checking account.=x
Can someone help me with this question please.
Answer: The total number of vehicles in the bar graph does not add up to 30.
The spacing between the bars should be equal.
It would be helpful to put the number of each type at the top of its bar.
It may be useful to give the location and time/date of the observation in the title of the graph.
Step-by-step explanation: The total 12 + 8 + 6 = 26.
My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.
where is liner function has the greatest Y intercept
Answer:
y=3x+4
Step-by-step explanation:
the first graph the y intercept is -3
the second equation : y=3x+4
the y intercept is 4, when x-0 y=b=4 this one has the greatest y-intercept
NEED HELP!!! Use what you know about special right triangles to find the missing measures. Show all calculations that lead to your final results. Please show calculations as well.
Answer:a) a=22, b=11
b) m=7[tex]\frac{\sqrt{2} }{2}[/tex], n= [tex]\frac{98-7\sqrt{2} }{2}[/tex]
Step-by-step explanation:
You should use trigonometry ratios as required and then you should use pythagoras theorem
In a) cosine(30°)= base/hypotenuse,
where 11√3 is the base
"a" is hypotenuse and
"b" is perpendicular
from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse
pythagoras theorem is
base²+perpendicular²= hypotenuse²
Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse
The following is the graph of the parent function y = √x ? TRUE OR FALSE?
Answer:
False
Step-by-step explanation:
1 point
5) Malia earns $3,567 each month. She spends $2,895 each month and
saves the rest of her money. Select the equation that represents how much
is left over that she is able to save each month.
$3,567 - $2,895 = $6,462
$3,567 + $2,895 = $6,462
0 $3,567 - $2,895 = $672
O $3,567 + $2,895 = $672
1 point
roconts equivalent fractions? *
Answer:
C
Step-by-step explanation:
She earns $3,567 and spends $2,895. That means that $2,895 is taken away from how much she earns each month. Subtraction is the correct operation, cancelling out choices B and D
$3,567 - $2,895
Now, you need to figure out the answer to the above problem. Choice C is your answer.
$3,567 - $2,895 = $672
Please help me to solve this question.
Answer:
[tex]314 \frac{2}{7} cm^{2} [/tex]
Step-by-step explanation:
Surface area of sphere= 4πr², where r is the radius of the sphere.
Given that the diameter is 10cm,
2(radius)= 10cm
radius= 10 ÷2
radius= 5cm
Surface area of sphere
[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Step-by-step explanation:
a function is a relation from a set of inputs to possible output where each input is related ONLY to one output(x),
yes
yes
no
yes
What is the length of the third side of the window frame below? (Figure is not drawn to scale.)
48 inches
60 inches
70 inches
75 inches
Answer:
75
it has to be smaller then 87 and bigger then 53
please help will give brainliest
Answer:
√24Option C is the correct option.
Please see the attached picture for full solution.
Hope it helps ...
Good luck on your assignment...
If A and B are two random events with probabilities of P(A) = 1/4 P(B) = 3/8 P(A ∩ B) = 1/5 calculate P(A|B).
Answer:
P(A|B) = 8/15
Step-by-step explanation:
Mathematically;
P(A|B) = P(A ∩ B)/P(B)
Thus we have
P(A|B) = 1/5 divided by 3/8
= 1/5 * 8/3 = 8/15
A crew is made up of 8 men and the rest are women. 66 2/3 of the crew are men? How many people are there in total?
Answer:
12Step-by-step explanation:
x - total number of people the crew contains
[tex]66\frac23\%x=\frac23x\\\\\\\frac23x\qquad\rightarrow\qquad 8\\\\:\frac23\,\qquad\ \qquad\ :\frac23\\\\x\ \qquad\ \rightarrow\qquad 8:\frac23=8\cdot\frac32=4\cdot3=12[/tex]
g(x)=5-2x what is the domain of g
Answer:
all real values of x
Step-by-step explanation:
The domain of g is the values that x can take
There are no restrictions on the values that x can take
Answer:
[tex]\boxed{\mathrm{E}}[/tex]
Step-by-step explanation:
[tex]g(x)=5-2x[/tex]
The domain of a function is the set of all possible inputs for the function.
The value of [tex]x[/tex] can be all real numbers,
There are no restrictions on the value of [tex]x[/tex].
Question 14 PLEASE HELP Find the y-intercept of -x +2y=10
Answer:
Hey there!
-x+2y=10
2y=x+10
y=1/2x+5
Thus, the y intercept is 5.
Hope this helps!
Answer:
(0,5)
Step-by-step explanation:
-x+2y=10
2y = x+10
y= (1/2)*x+ 5
The y-intercept is the number we add in the end of the equation wich is here (0,5)
find the solution(s) to x^2-12x+36=0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
(x - 6)² = 0
x - 6 = 0
x = 6
Hope this helps! :)
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
Factor left side.
(x - 6)² = 0
Set factor equal to 0.
x - 6 = 0
x = 6
what is the solution for a + 5 and two-thirds = 9
Answer:
a = 10/3
Step-by-step explanation:
Step 1: Convert to improper fraction
a + 17/3 = 9
Step 2: Subtract 17/3 on both sides
a = 10/3
x+2y=-6
y= -1/2 - 3
name the solution to the system of linear equations
Answer:
Infinite Amount of Solutions
(1, -3.5) - 2nd Option
Step-by-step explanation:
If your systems of equations is:
x + 2y = -6
y = -1/2x - 3
Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.
If you systems of equations is:
x+ 2y = -6
y = -1/2 - 3
We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)
⇒Answer:
(1,-3.5)
⇒Step-by-step explanation:
Well to find the solution we need to do the following
Steps,
_______________________
Substitute y
Combine like terms
Sperearte x
When x is found substitute
Combine like terms
Single out y
_______________________
x + 2(-1/2x - 3) = -6
x - 1 - 6 = -6
x - 7 = -6
x = 1
y = -1/2(1) - 3
y = -1/2 - 3
y = -3.5
____________
Answer:
(1,-3.5)
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is . For one performance, advance tickets and same-day tickets were sold. The total amount paid for the tickets was . What was the price of each kind of ticket
Answer:
Advance tickets=$25
Same-day tickets=$15
Step-by-step explanation:
Complete question below:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?
Let
advance tickets=x
Same-day tickets=y
Combined cost of advance and same-day tickets=$40
It means,
x+y=40 Equ (1)
25 advance tickets and 30 same-day tickets=$1075
It means,
25x+30y=1075 Equ(2)
From (1)
x+y=40
x=40-y
Substitute x=40-y into (2)
25x+30y=1075
25(40-y)+30y=1075
1000-25y+30y=1075
5y=1075-1000
5y=75
Divide both sides by 5
5y/5=75/5
y=15
Recall,
x+y=40
x+15=40
x=40-15
=25
x=25
Advance tickets=$25
Same-day tickets=$15
Check
25x+30y=1075
25(25)+30(15)=1075
625+450=1075
1075=1075