Answer:
x=7
Step-by-step explanation:
The solution to the equation is x = 7.
We have,
Equation:
3x - 5 = 16
Add 5 on both sides.
3x - 5 + 5 = 16 + 5
3x = 21
Divide 3 on both sides.
x = 21/3
x = 7
Thus,
The solution to the equation is x = 7.
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Sam has a deck that is shaped like a triangle with a base of 18 feet and a height of 7 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;
Part A; Base length of the new deck = 7.2 feet
Height of the new deck = 2.8 feet
Part B; The area of the original deck is 63 square feet
The area of the new deck is 10.08 square feet
Part C; The ratio of the areas is the square of the scale factor
What is a scale factor?A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.
The base length of the triangular deck = 18 feet
The height of the triangular deck = 7 feet
The scale factor for the scaled version Sam intends to build = 2 : 5
Part A; The dimensions of the new deck are;
Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet
The height of the new deck = (2/5) × 7 = 2.8 feet
Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet
Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet
Part C; The ratio of the areas is; 10.08/63
Ratio of the area = 10.08/63 = 4/25 = 4 : 25
The scale factor is; 2 : 5
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Write an expression for " x divided by nine".
Please help!!
10 POINTS
Answer:
x/9
Step-by-step explanation:
x divided by 9
=> x ÷ 9
Take that and turn it into a fraction
=> x/9
hope this helps and is right. p.s. i really need brainliest :)
Answer:
45
Step-by-step explanation:
Simplify 20 + 52 × 2.
Answer:
124
Step-by-step explanation:
Following PEMDAS,
multiplication comes first, 52x2 equals 104
Then add 20 to 104
124
Answer:
124
Step-by-step explanation:
20+50x2
20+104
124
Question 15 (1 point)
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5]
B = {1, 3, 5, 7}
How many elements are in AUB?
Answer:
6
Step-by-step explanation:
The union is defined as the set of all elements in at least one of the sets.
\(A \cup B=\{1,2,3,4,5,7\}\)
So, there are 6 elements.
it cost $3 for 12 sodas, How much does it cost for 4 soda?
Let x be the price of one soda, then since 12 sodas cost $3
Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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What are all the factors of 54? O 1,2, 6, 9, 26, 54 O 1,2, 6, 9, 27, 54 O 1, 2, 3, 6, 9, 18, 26, 54 O1,2, 3, 6, 9, 18, 27, 54.
┈┈┈┈▕▔╱▔▔▔━▁┈┈┈┈
┈┈┈▕▔╱╱╱┈╲▂▔▔╲┈
┈┈▕▔╱╱╱╱▂▂▂▂▂▂▏
┈▕▔╱▕▕╱╱╱┈▽▽▽▽▽┈
▕▔╱┊┈╲╲╲╲▂△△△△┈┈
▔╱┊┈╱▕╲▂▂▂▂▂▂╱┈┈
╱┊┈╱┉▕┉┋╲┈
Answer:
1 2 3 6 9 18 27 and 54 I hoped this helps
Answer:
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
A rectangular park is 56 miles wide and 157 miles long.
What is the area of the park?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
mi2
Answer:
Hes already taken and Hes cracked at Fortnit my dude
Step-by-step explanation:
the answer is 1 3/7 btw
Answer:
1 3/7 I got an 80% a B on this test because of this app :)
A pension fund manager is considering three mutual funds The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:Expected Return Standard DeviationStock fund (S) 14% 43%Bond fund (B) 7% 37%The correlation between the fund returns is .0459What is the reward-to-volatility ratio of the best feasible CAL?
For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.
A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.
Stock fund (S) Bond fund (B)
Expected Return 14% 7%
Standard Deviation 43% 37%
Risk-free returns , Rf = 5.3%
Correlation coefficient = 0.459
Covariance : 0.459 = COV(s,b)/0.43×0.37
Covariance = 0.073
Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)
= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)
Weight of S = 42.18%
Weight of B = 1 - 42.18 = 57.82%
Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%
= 5.90 + 4.05 = 9.95
Standard Deviation of the portfolio (SDp)
= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2
= 28.68
Reward to volatility = (Expected return - Rf) / SD of Portfolio
= (9.95- 5.3) / 28.68
=0.1621
Hence, the required volatility is 0.1621 or 16.21%.
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If cos(t) = 0.85, find cos( – t).
Step-by-step explanation:
7
√
15
32
=
0.85
Explanation:
sin 2t = 2sin t.cos t
Knowing
cos
t
=
−
7
8
, find sin t.
Trig identity:
sin
2
a
=
1
−
cos
2
a
-->
sin
2
t
=
1
−
cos
2
t
=
1
−
49
64
=
15
64
sin t = +- sqrt15/8.
Arc t is in Quadrant III, then, sin t is negative.
sin
2
t
=
2
(
−
7
8
)
(
−
√
15
8
)
=
7
√
15
32
=
0.85
hope this helps :)
Find the sum of the polynomials: (x2 + 4x + 5) + (3x – 3)
+2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4
Answer:
x^2+7x+2
Step-by-step explanation:
hi! you can only combine terms with the same power (exponent value).
if we stack this like a regular addition problem, it will be easier.
x^2 + 4x + 5
3x - 3
-----------------------
4x+3x is 7x, and 5+ (-3) is 2. we keep the x^2 the same.
therefore, the answer is x^2+7x+2
hope this helps!
40 is what percent of 320
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
The diameter of a circle is 8cm. Find its circumference to the nearest tenth.
Answer:
\(C = 25.1 \text{ cm}\)
Step-by-step explanation:
We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:
\(C = \pi d\)
Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).
↓ plugging in the given radius
\(C = 8\pi \text{ cm}\)
↓ rounding to the nearest tenth
\(\boxed{C = 25.1 \text{ cm}}\)
Q16. If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the
width?
16 feet
O 35 feet
O 37 feet
0 40 feet
42 feet
Answer:
OPTION A :16 FEET
PERIMETER =26 1/3=76/3yard=76/3×3=76 feet
LENGTH=22feet
Width=76/2-22
WIDTH=38-22=16 FEET
Higher Order Thinking. Explain how to add 3+3+4. Use pictures,numbers, or words.
Answer:
Step-by-step explanation:
3 + 3 + 4
!!! + *** + &&&&
!!!***&&&&
10 symbols in all
Hope this Helps!!!
A child’s swimming pool holds 168 gallons of water. Water leaked out of the pool at a rate of 8 gallons every 6 hours. At this rate, how many hours will it take for the 168 gallons of water to leak out of the pool?
Answer:
126 hours. aka 5.25 days.
Step-by-step explanation:
168/ amount of time will leak until empty = 21
21 x 6 hours each time. :)
Stations 1, 2, and 3 are bus stations. The equation y = 160x represents the number of people that go to Station 1, where y is the total number of people and x is the number of hours since opening. The table shows the same relationship for Station 2, and the graph shows the relationship for Station 3.
Answer:
station three for part a and 2,064 for part b
Step-by-step explanation:
i got the answer correct
The demand equation for a popular brand of fruit drink is given by the equation:
Qx=10-5px+0.001M + 10Py
where:
Qx= monthly consumption per family in liters
Px= price perlite of the fruit drink =$2.00
M= median annual family income =$20,000
Py= price per liter of a competing brand of fruit drink = $2.50.
1. Interpret parameter estimates.
2. Calculate the monthly consumptioliterslitres) of the fruit.
3. Suppose that the median annual family income increased to ¢30,000. How does this change your answer to part (b)?
4. Determine the demand function and the inverse demand function.
Answer:
Parameter estimates
The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.
The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.
The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.
Step-by-step explanation:
To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,
Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)
Qx = 10 - 10 + 20 + 25
Qx = 45 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family is 45 liters.
If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,
Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)
Qx = 10 - 10 + 30 + 25
Qx = 55 liters per family per month.
Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.
To determine the demand function, we need to solve for Qx in terms of the other variables,
Qx = 10 - 5Px + 0.001M + 10Py
Qx - 10Py = 10 - 5Px + 0.001M
Qx = (10 - 5Px + 0.001M) / 10Py
Therefore, the demand function is:
Qx = (10 - 5Px + 0.001M) / 10Py
To find the inverse demand function, we need to solve for Px in terms of Qx.
Qx = 10 - 5Px + 0.001M + 10Py
5Px = 10 - Qx - 0.001M - 10Py
Px = (10 - Qx - 0.001M - 10Py) / 5
Therefore, the inverse demand function is,
Px = (10 - Qx - 0.001M - 10Py) / 5
If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fog)(3)?
What is the test statistic for a hypothesis test where H0: μ=12.5, x¯¯¯=14.1, s=2.7, and n=12? Responses
The test statistic for the hypothesis test using the parameters is 2.05
A test statistic is used to access how consistent sample data are with the null hypothesis in a hypothesis test.
How to calculate test hypothesis of given parameters?
Using the parameters
Hₙ: ц=12.5, x=14.1, s=2.7, and n=12
The test statistic (t) is given by the formula
t=\(\frac{x-U}{s/\sqrt{n} }\)
Substituting the given parameters;
t=\(\frac{14.1-12.5}{2.7/\sqrt{12} }\)
t=\(\frac{1.6}{2.7/3.46}\)
t=\(\frac{1.6}{0.78}\)
t=2.05
This figure is round up to 2 decimal places
The test statistic using the parameters is 2.05
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please help
What is the minimum of the sinusoidal function?
Enter your answer in the box.
Answer:
The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.
Answer:
-4
Step-by-step explanation:
took the test
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
Davis is trying to decide between two part time jobs on Saturdays. He could make $16.25 per hour working
at the city's ice arena, but getting to work and back would cost him $7.50 round trip for travel. His other
option is to work as a dog walker in his neighborhood for $12.50 per hour but he can ride his bike or walk
there for free. He estimates he could work up to 7 hours at the arena but up to 10 hours walking dogs. He
always works at least 1 hour if he goes to the arena.
1. Write two different functions that represent Davis's gross wages, where h is the number of
hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and
d(h) is his gross wages from walking dogs.
1. State the domain and range for each function.
2. If Davis works 1 hour, what would be his gross pay at each job? What if he worked 6 hours?
3. Davis wants to know what his net pay, also called take-home pay, is going to be. Assume that
10.5% of just his paycheck, not his travel expenses, is withheld for taxes at the arena. Because
dog walking is a self-employed activity, Davis estimates he needs to set aside 18% of his income
for taxes. Modify your functions from question 1 to model net pay including these tax
withholdings.
4. State the domain and range for each of these new functions.
1) Two different functions that could represent Davis' gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs are:
Function A: a(h) = 16.25h - 7.50
Function B: d(h) = 12.50h
2) If Davis works 1 hour, his gross pay at each job is:
1 Hour 6 Hours
a) $16.25 $97.50
b) $12.50 $75
3) To find Davis' net pay after tax, the modified functions in question 1 are as follows:
Function A: a(h) = (16.25h - 7.50)(1 - 0.105)
Function B: d(h) = 12.50h(1 - 0.18)
4) The domain and range for each of these new functions are:
Domain Range
a) Function A [1, 2, ... 7] [7.83, 15.66, ... 54.81]
b) Function B [1, 2, ... 12] [10.25, 20.5, ... 123]
What are the domain and range of a function?The domain refers to all the possible values of the independent (input) variables.
The range refers to the possible values of the dependent (output) values.
Data and Calculations:Arena Dog Walking
Pay rate per hour $16.25 $12.50
Travel expense $7.50 $0
Maximum hours worked 7 hours 10 hours
Gross pay for one hour $16.25 $12.50
Gross pay for 6 hours $97.50 $75
After
Tax 10.5% 18%
After-tax factor (1 - 0.105) (1 - 0.18)
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What is the complementary angle of 65 degrees
Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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For what values of x is the expression below defined?
O A. x = 0
O B. x > 0
O c. x< 0
O D. x< 1
Answer:
x>0
Step-by-step explanation:
i took the quiz :))
PLS HELP ASAPPPPPPP
I NEED HELP
The tables which shows a proportional relationship between x and y are table 3 and table 4.
Which table shows a proportional relationship between x and y?Using ratio to find the proportional relationship
Table 1
x : y = 8 : 8
= 1 : 1
x : y = 12 : 10
= 6 : 5
Not proportional
Table 2:
x : y = 2 : 3
x : y = 3 : 8
Not proportional
Table 3:
x : y = 5 : 3
x : y = 10 : 6
= 5 : 3
Proportional
Table 4:
x : y = 4 : 1
x : y = 16 : 4
= 4 : 1
Proportional
Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.
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Question 1 of 12
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection
Answer:
Step-by-step explanation:
Write the expression in complete factored form.
(X + 8) - 9(X + 8) =
Answer:
7
Step-by-step explanation:
Do the brackets first
X+8= 8x
X+8= 8x
then you plus 8x + 8x =16x
16x -9 =7x