Answer:
Step-by-step explanation:
Two of the sides are 13.5 inches by 2.5 inches, two sides are 13.5 inches by 8 inches, and two sides are 2.5 inches by 8 inches.
Surface area = 2*13.5*2.5 + 2*13.5*8 + 2*2.5*8
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
el inverso de 13/25 es
Answer:
25/13
Step-by-step explanation:
Darren's rectangle measures 3 1/4 units by 4 1/3 units. what is its area
area = ? ?/?
Answer:
14 1/13
Step-by-step explanation:
13/4*13/3=169/12=14 1/13
Which point is a solution to the system?
Answer:
d
Step-by-step explanation:
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Expand and simplify please as new as soon as
Answer:
(4/9)x^2 - (9/25)y^2
Step-by-step explanation:
((2/3)x-(3/5)y)*((2/3)x+(3/5)y)
(4/9)x^2 + (6/15)xy - (6/15)xy - (9/25)y^2
(4/9)x^2 - (9/25)y^2
Use partial quotients to solve 5,140 ÷ 9 = ___.
The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.
What are partial quotients division?Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.
Why do we use partial quotient division?Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.
Now we solve
first 9 multiply with 500 so we get 4500. 5140-4500=640
then 9 multiply with 70 so we get 630. 640-630=10
then 9 multiply with 1 so we get 9. 10-9=1
Hence 500+70+1=571
And our remainder is 1.
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Find the values of x and y that make k|ljand
m || n.
x=
y =
Answer:
X=80
Y=130
Step-by-step explanation:
sana makatulong
Subtract 4x + 6 from 7 + 2x?
Answer:
1-2x
Step-by-step explanation:
\((7+2x)-(4x+6)=7+2x-4x-6=1-2x\)
At an ice skating rink 60% of the people are wearing hats. 240 people are wearing hats. Altogether, how many people are in the ice skating rink.
Answer:
240
Step-by-step explanation:
0.60x240=144
244+144=388
At a local college, 82 of the male students are smokers and 328 are non-smokers. Of the female students, 148 are smokers and 252 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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The population of Garden City in 1995 was 2,400. In 200, the population was 4,000. Write a linear equation in slope-intercept form that represents this data.
Answer:
\(y = 320x +2080\)
Step-by-step explanation:
Given
Population in 1995 = 2400
Population in 2000 = 4000
Required
Determine the linear equation
Let the years be represented with x.
In 1995, x = 1 i.e. the first year
In 2000, x = 6
Let y represents the population
When x = 1; y = 2400
When x = 6; y = 4000
First, we calculate the slope (m)
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{4000 - 2400}{6 - 1}\)
\(m = \frac{1600}{5}\)
\(m = 320\)
Next, we calculate the line equation as follows:
\(y - y_1 = m(x - x_1)\)
\(y - 2400 = 320(x - 1)\)
\(y - 2400 = 320x - 320\)
\(y = 320x - 320 + 2400\)
\(y = 320x +2080\)
What’s the value of x solve the equation
-3x+4=2x-6
Answer: x=2
Step-by-step explanation:
−3x+4=2x−6
Subtract 2x from both sides.
−3x+4−2x=−6
Combine −3x and −2x to get −5x.
−5x+4=−6
Subtract 4 from both sides.
−5x=−6−4
Subtract 4 from −6 to get −10.
−5x=−10
Divide both sides by −5.x=−5−10
Divide −10 by −5 to get 2
x=2
The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
help me plzzzzzz before 10:00 AM
Answer:
19) x=4
20) x=7
21) x=15.5
22) x= -7
23) x=9
24) x=5
25) x=-6 (Im pretty sure)
26)x=4
27)x=10
28) x=-9
Step-by-step explanation:
The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
What is the solution to the equation 3X + 27 = -2x + 18
Answer:
-9/5 or -1.8
Step-by-step explanation:
3x+27=-2x+18 add 2x to both side
5x+27=18 minus 27 from both side
5x=-9 divide 5
x=-9/5, in decimal form=-1.8
Answer:-9/5
Step-by-step explanation:
3x + 27 = -2x + 18
-27 -27
-3x = -2x - 9
+2x +2x
5x = -9
5x/5 = -9/5
x= -9/5
Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues activities that require the company of others.His cousin Bill,about the same age,is very introverted.Bill is self-reflective and prefers more solitary pursuits.Regardless of their personality characteristics,which of the following is likely to contribute most to their long-term happiness?
A) They are good friends who are willing to help each other in difficult times.
B) They bought a lottery ticket together and were lucky enough to win a huge jackpot.
C) They both have jobs that require very little effort.
D) They both have very few responsibilities and are careful to avoid committing themselves to any community service.
Answer:
A is the most likely answer
Step-by-step explanation:
but how is this a math question?
Please help fast pls
Answer:10 7/30
Step-by-step explanation: If correct please give me brainliest Thank you ! :D
2 2/3 + 2 1/2 + 2 2/5 + 2 2/3 = 10 7/30
Answer:
10 7/30 or 10.23 hours
Step-by-step explanation:
2+2+2+2=8
(2/3)+(1/2)+(2/5)+(2/3)=67/30
67/30=2 7/30
2 7/30+8= 10 7/30
Four times the number x increased by 15 is 83
Answer:
17
Step-by-step explanation:
83-15=68
68/4=17
A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
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Previou
Next >
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
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y = f(x) = 5x
find f(x) when x = 3
The value of f(x) when x is 3 is 15
What is function?A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;
f(x) = 2² + 2(2) + 5
f(x) = 4 +4+5
= 13
This done by substituting the given value of x into the expression.
Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;
f(x) = 5(3)
f(x) = 15
therefore the value of f(x) when x is 3 is 15
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Solve the following inequality algebraically.
x²-16x +60 ≥ 0
Answer:
\( \sf \large \: x≤6 \: or \: x≥10\)
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2−16x+60≥0
Let's find the critical points of the inequality.
x2−16x+60=0
(x−6)(x−10)=0(Factor left side of equation)
x−6=0 or x−10=0(Set factors equal to 0)
x=6 or x=10
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤6(Works in original inequality)
6≤x≤10(Doesn't work in original inequality)
x≥10(Works in original inequality)
K
The table shows the fraction of the population in selected countries that used cell phones in a recent year. Complete
the table by writing each fraction as an equivalent fraction with a denominator of 100.
Country
Country A
Country B
Country C
Country D
Country E
Country F
Country G
Country H
Country I
Country J
Fraction of
Equivalent Fraction
Population Using Cell with a Denominator of
Phones
100
87
100
9
10
23
25
23
25
17
25
91
100
4
5
67
100
2
25
...
7
10
The solution is given below.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
from the given chart we get,
the solution is attached below.
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You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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All of those questions need to be solved. Thank you!
18.
Black dresses:
20%.
To write it as a decimal divide the percentage by 100
20/100 = 0.2
To write the decimal as a fraction, first add 1 as a denominator:
0.2 = 0.2/1
Now, multiply the numerator and denominator by 10 for each digit after the decimal point:
(0.2 x 10 ) /1 x 10 = 2 /10
Simplyfy by 2
1/5
SO:
Black dresses:
percentage: 20%
Decimal : 0.2
Fraction : 1/5
Same process for the rest of the clothes:
Navy:
Fraction: 1/4
Decimal : ( divide 1 by 4) = 0.25
Percentage (multiply the decimal by 100) = 25
Brown:
Decimal: 0.35
Percentage: 35 %
Fraction : 0.35/1 = 35/100=7/20
Other:
add all the decimal and subtract to 1:
0.2+0.25+0.35 = 0.8
1-0.8 = 0.2
decimal:0.2
percentage: 20%
fraction: 0.2/1 = 2/10 = 1/5
f(x)=|x+8| How can function f be written as a piecewise function?
the absolute value function written as a piecewise function is:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
How can this function be written as a piecewise function?
The absolute value function:
y = |x|
works as follows:
y = x if x ≥ 0.y = -x if x < 0.That is a piecewise function.
Now, in our case:
f(x) = |x + 8| can be rewritten to:
f(x) = x + 8 if (x + 8) ≥ 0
f(x) = -(x + 8) if (x + 8) < 0.
Now we should simplify the inequalities, so we get:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
Here we have the absolute value function written as a piecewise function.
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What is the volume of this cylinder shown below?
Answer: 138.16 cubic feet (choice H)
This volume is approximate and occurs when you use pi = 3.14
==========================================================
Work Shown:
r = 2 ft = radius
h = 11 ft = height
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*11
V = pi*4*11
V = pi*44
V = 44pi .... exact volume in terms of pi
V = 44*3.14
V = 138.16 .... approximate volume and the final answer
Answer:”H”
Step-by-step explanation: just trust the process
Find the measure of angle A.
Answer:
60 degrees sorry if its wrong
Step-by-step explanation: