Answer:
\(\Huge\boxed{D.14.6}\)
Step-by-step explanation:
Hello There!
We can solve for x using trigonometry
More specifically the law of sines
In the image you can see that a side length divided by sin(its opposite angle) is equal to another side length divided by sin(its opposite angle)
so to find x we use this equation
\(\frac{x}{sin59} =\frac{17}{sin90}\)
step 1 multiply each side by sin 59
now we have
\(x=\frac{17sin59}{sin90}\\x = 14.6\)
so we can conclude that x = 14.6
If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is
(7, -1),(2, -8),(0, 0),(6, 6)}
(-8,-1, 0,6)
(0, 2, 6, 7)
9514 1404 393
Answer:
(0, 2, 6, 7)
Step-by-step explanation:
The range is the list of 2nd numbers in the ordered pairs:
(0, 2, 6, 7)
How would you describe a linear learning curve. Choose the best available answer. for each unit of time the performance improves a proportional amount for each unit of time the performance decreases a proportional amount the performer displays rapid initial improvement followed by a decline in the rate of improvement the performer displays little initial improvement followed a rapid increase in the rate of improvement none of the above
Answer:
My answer would be; the performer displays rapid initial improvement followed by a decline in the rate of improvement.
Step-by-step explanation:
Usually a learning curve means that struggles are occurring after time of understanding and if we were creating a linear graph of this learning curve, it would be decreasing.
The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
Sheryl deposited RM 40,000 for 3 years and RM 30,000 for 5 years at the same rate of interest. She receives total interest of RM 13,500. What is the rate of interest?
The interest rate is given as follows:
5%.
How to obtain the balance using simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest accrued is given as follows:
I(t) = Prt.
For each case, the interest accrued is given as follows:
40,000 for 3 years: I(3) = 40000 x r x 3 = 120000r.30,000 for 5 years: I(5) = 30000 x r x 5 = 150000r.The total interest was of 13,500, hence:
I(3) + I(5) = 13500.
Meaning that the interest rate is obtained as follows:
120,000r + 150,000r = 13500
r = 13500/270000
r = 0.05.
r = 5%.
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There is a TV that is $189.00. There is a coupon offering 15% off any television purchase. If the sales tax on the TV is 8%, how much will the TV cost total?
Answer:
175.77 dollars
Step-by-step explanation:
15% off 189.00 is 160.65 then you take that answer and add on the sales tax from the original price. Doing 189.00 x 8 percent gets you 15.12 dollars.
Add 160.65 + 15.12 to get 175.77 dollars.
Please correct me if my answer is wrong, that is all, thanks!
The correctanswert is option 2.
Sunny rode her bike 4 2/5 miles each day. If she rode her bike for 5 days, how many miles did she ride?
Answer:
22 miles
Step-by-step explanation:
4 2/5 (miles she rode each day) x 5 (how many days) = 22
Answer:
22 miles
Step-by-step explanation:
4 2/5 ------ 4.4
4.4*5
22
my father bought a robot for 670 2.50 and a toy car for 300 19.25 how much change did he get for his 1000.00
A.7.25 B.15.75cm C.27.75cm D.10.25
Answer:
Step-by-step explanation:
If it is supposed to be 672.50 and 319.25 then you can just go 1000 minus 672.50 which is 327.50 and then subtract 319.25 to get 8.25. But your answers show cm and none show the right answer. So, if it's rounding then choose A.
What are the dimensions of the product?
-3
2
4 -3
x-23
a w N
6
0
-8
1x2
O O
2x2
3 x 2
O
3x3
can someone answer my If you answer then I will give you an brainliest answer.
The dimensions of the product is 2 x 2.
What is Matrix?A matrix is a numerical arrangement that is divided into rows and columns. Introduce yourself to matrices and learn about their dimensions and elements. A matrix is a rectangular array of numbers divided into rows and columns. Matrix A, for example, has two rows and three columns.
We are given two matrices of varying dimensions and asked to calculate the dimensions of the result.
In this case, we need to know the rule that will be applied to the matrices' product.
Assume A and B are two matrices with dimensions of and respectively
A (m x n) and b( n x p)
and, C is the product of A X B then the dimensions of C will be given as
C (m x p)
Now, we have the dimensions of first matrix is 2 X 3 and that of second matrix is 3 X 2
Then the dimensions of product of the Matrix will be 2 x 2.
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Question 28 of
A line has a slope of 15 and passes through the point (2,8). Which of these is
an equation for the line?
\(y - y1 = m(x - x1) \\ y - 8 = 15(x - 2) \\ y - 8 = 15x - 30 \\ y = 15x - 30 + 8 \\ y = 15x - 22\)
The equation of line is y = mx+b ; m is slope , b is y- intercept
Please give brainlest
Convert 14 feet per
minute to yards per
minute
Answer:
answr 5
Step-by-step explanation:
answer 5
MLN=QPR. What is the measure of <1 and <2?
Answer:
B. <1 = 90, <2 = 40
Step-by-step explanation:
Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.
<P = right angle = 90°
<1 corresponds to <P, therefore, <1 = 90°
<R = 40°
<2 corresponds to <R, therefore, <2 = 40°.
The answer would be: B. <1 = 90, <2 = 40
If o=12, find the sample size to estimate the mean with an error of +4 and 95 percent confidence (rounded to the next higher integer).
Multiple Choice
75
35
58
113
URGENT
We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.
To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:
n = [(z*sigma)/E]^2
Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)
We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:
n = [(1.96*12)/4]^2
n = 169.64
Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.
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PLEASE HELP PLEASE HELP PLEASE
Answer:
384 cm
Step-by-step explanation:
Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)
There are 4 external sides.
Top = bottom = 132 cm
Left = Right = 60 cm
Add all 4 sides:
2(132) + 2(60)
264 + 120 = 384 cm
PLEASE HELP!!!
Nevaeh and Christian are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Nevaeh is 650 miles away from the stadium and Christian is 450 miles away from the stadium. Nevaeh is driving along the highway at a speed of 50 miles per hour and Christian is driving at speed of 25 miles per hour. Let NN represent Nevaeh's distance, in miles, away from the stadium tt hours after noon. Let CC represent Christian's distance, in miles, away from the stadium tt hours after noon. Graph each function and determine the number hours after noon, t,t, when Nevaeh and Christian are the same distance from the stadium.
The linear functions that define their distances are given as follows:
Nevaeh: 650 - 50t.Christian: 450 - 25t.The number of hours after noon in which they will be the same distance away from the stadium is of:
8 hours.
What are the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope.b is the y-intercept.In the context of this problem, the meaning of each parameter is:
The slope is by how much they get closer each hour, which is the velocity as a negative.The intercept is the initial distance.They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.
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Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?
Answer: $10,278.90
Step-by-step explanation:
FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.
The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.
Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)
= 7,886.40 + 2,392.50
= $10,278.90
Steve has a square patio with sides of length 9 feet. He plans to enlarge it to a rectangular patio by
increasing the length by 3 feet and the width by 2 feet. How many square feet in area will be added to the
patio?
06
O 12
0 29
O 51
Answer:
51ft^2
Step-by-step explanation:
Given data
Side of square patio= 9ft
Area= 9*9= 81 ft^2
New length = 9+3= 12ft
New Widht = 9+2= 11ft
New Area= 12*11
New Area= 132ft^2
Hence the area added is
=132-81
=51ft^2
The 51 square feet area will be added to the patio if the length is increased by 3 feet and the width is by increased 2 feet, Option fourth is correct.
It is given that steve has a square patio with a side length of 9 feet he plans to enlarge it to a rectangular patio by increasing the length by 3 feet and the width by 2 feet.
It is required to find how many square feet in the area will be added.
What is the area?In mathematics, the area is the space occupied by the 2-dimensional figure or surface.
We know the formula for finding the area of square 'A'
\(\rm A= a^{2}\) where a is the length of the side.
We have a = 9 feet
\(\rm A= 9^2\\\rm A= 81 \ Feet^2\)
Increasing the length by 3 feet and the width by 2 feet respectively, wet get:
L = 9+3 ⇒ 12 Feet
W = 9+2 ⇒ 11 Feet, Where L is the length and W is the width of the rectangle.
Area of rectangle = L×W
Area of rectangle = 12×11
Area of rectangle = 132 \(\rm Feet^2\)
The area which will be added = (Area of rectangle) - (area of square)
The area which will be added = (132) - (81)
The area which will be added = 51 \(\rm Feet^2\)
Thus, the 51 square feet area will be added to the patio.
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PLEASE HELP ASAP !!!!!
Find the unit rate for each problem.
1. 64 books on 4 shelves = ? books per shelf
2. 36 flowers in 3 bouquets = ? flowers per bouquet
3. 25 rulers in 5 groups = ? rulers per group
4. 45 points in 3 games = ? points per group
5. 10 hours to drive 550 miles = ? miles per hour
6. 24 pieces of candy in 3 bags = ? pieces per bag
7. 92 dollars for 2 video games = ? dollars per video game
The question mark stands for the answer !!!
Answer:
1. 16
2. 12
3. 5
4. 15
5. 55
6. 8
7. 46
:)
figure is shown.
What is the measure, in degrees, of
A well-known basketball coach has coached at the same university for 20 years. After what
seems like an infinite number of seasons, he finds that the mean number of points his teams score
is 72. One year he has an exceptionally tall team. The coach wants to know if the taller team
results in a greater number of points scored. Assume 72 to be the population mean with the
population variance unknown. The taller téam's scores are: '80, 88, 74, 82, 89, 90, 68, 95, 96, 72,
73 (it was a short season).
State the null and research hypotheses.
1) Report degrees of freedom (if applicable).:
2) Report the critical value using alpha= .05.:
3) Calculate the test statistics. :
4) In two or three sentences, briefly explain the results
(This includes your decision concerning the null hypothesis). :
Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.
How did we determine the test statistic?Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.
Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).
Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.
To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:
t = (82-72) / (9.89 / sqrt(10)) = 3.19
Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.
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Solve 2/3 X -1/5 >1. X=?
Hey there! :)
Answer:
x > 9/5.
Step-by-step explanation:
Given:
2/3x - 1/5 > 1
Start by adding 1/5 to both sides:
2/3x > 1 + 1/5
2/3x > 6/5
Divide 2/3 from both sides by multiplying by the reciprocal:
2/3x × 3/2 > 6/5 × 3/2
x > 18/10
Simplify:
x > 9/5.
An object attached to a coiled spring is pulled down 5 centimeters from its rest position and released. If the motion is simple harmonic in nature, with a period of pi seconds, answer the following questions.
A. what is the maximum displacement form equilibrium of the object?
B. what is the time required for one oscillation?
C. what is the frequency?
D.write an equation to model the motion of the object.
The maximum displacement is 5 centimeters.
The time required for one oscillation is π seconds.
The frequency is 1 / π Hz.
Equation to model the motion of the object is x(t) = 5 × cos(2t)
The maximum displacement from equilibrium can be determined by observing that the object is pulled down 5 centimeters from its rest position.
In simple harmonic motion, the amplitude represents the maximum displacement from equilibrium.
The period of oscillation is given as π seconds.
The period (T) is the time required for one complete oscillation.
The frequency (f) is the reciprocal of the period and represents the number of oscillations per unit time.
Thus, the frequency is the inverse of the period: f = 1 / T.
To model the motion of the object, we can use the equation for simple harmonic motion:
x(t) = A×cos(ωt + φ)
A = 5 centimeters (maximum displacement),
T = π seconds (period),
f = 1 / π Hz (frequency).
To find ω, we can use the relation ω = 2π / T:
ω = 2π / π = 2 radians/second.
The equation to model the motion of the object is:
x(t) = 5 × cos(2t)
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the triangle below is isosceles. find the length of side x to the nearest tenth
Answer: 8.5
Step-by-step explanation: 45-45-90 triangle will always have the same length of legs. The hypotenuse will be the leg length times √2
a^2+b^2=c^2
A and B are the same.
6^2+6^2=6√2✅
6√2=8.5✅
2. The population of a town was 7,250 in 2014
and 7,375 in 2015. What was the percent
increase from 2014 to 2015 to the nearest
tenth of a percent?
A) 1.5%
B) 1.6%
C) 1.7%
D) 1.8%
E) 2.0%
E
The percentage change of the population is P = 1.7 %
Given data ,
To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.
Population increase = 7,375 - 7,250 = 125
Percent increase = (Population increase / Initial population) * 100
Percent increase = (125 / 7,250) * 100 ≈ 1.7241
Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.
Hence , the percentage change is P = 1.7 %
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BRAINLIEST!!!
YOU HAVE 5 MINUTES!!!!
Design an easy do-it-yourself compost bin that can be put (exnfe ffpao)
together at home. You can describe it, draw and label it, or both!
Include the following in your design:
• drawing or description of design
• materials used for the bin
• size of the bin
• substances used to fill it
• household items that can go in it
• how long it takes before it is ready
• how you use the compost
2)
Compost bin design: Add these household items to
your compost bin:
Compost is ready to use in this
much time:
Use your compost this way:
Designing an easy do-it-yourself compost bin:
Drawing and Description:
The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.
The bin can be placed directly on the ground or on a solid surface, depending on personal preference.
Materials Used:
Wood or wire mesh (depending on preference)
Nails or screws to assemble the structure
Size of the Bin:
The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.
Substances Used to Fill It:
To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.
Household Items That Can Go in It:
You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).
Time for Compost to Be Ready:
The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.
Using the Compost:
Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Tell what whole number you can substitute for z in the following list so the numbers are ordered from least to greatest.
1/x, x/3, 80%
The whole number that can be substituted for z is 1.
The whole number you can substitute for zTo order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.
1/x can be rewritten as 0.01/x
80% can be written as 0.8
So, the list becomes:
0.01/x, x/3, 0.8
To compare 0.01/x and x/3, we can cross-multiply and simplify:
0.01/x < x/3
0.01*3 < x^2
0.03 < x^2
x > sqrt(0.03)
Since x has to be a whole number, the smallest possible value for x is 1.
So, substituting x = 1, the list becomes:
0.01, 1/3, 0.8
Ordering these from least to greatest, we get:
0.01, 0.8, 1/3
Therefore, the whole number that can be substituted for z is 1.
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Which of the following points are on the line 2x + 3y = 15?
a. (3, 3)
b. (9, -1)
c. (2.5, 3.5)
d. (-10.5, 12)
Answer:
A and B
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
I made a graph using “D e s m o s”
You can go on there too
Basically anything on the line would be the answer.
I need help I don't know how to do this, this is for a friend lol.
Answer:
bru tell me why i cant see that
Step-by-step explanation:
HURRY ITS TIMED UUUUUUUUUUUUUUUUUYUUUUUUUUUYTDFBDHMHHDHKGFG
Answer:
3,2
Step-by-step explanation:
18,12
18/6 = 3
12/6 = 2
so
3,2
srry its timed so i tried to be quick
Answer:
3:2 is the ratio
Step-by-step explanation:
GCM: 6
18 ÷ 6= 3
12 ÷ 6= 2