Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
Related Questions
A house started with a value of $160,000. After 10 years its value had increased by 35%.
What is its value after 10 years?
Can you also put what you did to get to your answer please!
Answers
Answer: $216,000
Step-by-step explanation: I did 160,000x1.35
Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm
Answers
Answer:
Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
Total: 528 cm²
Step-by-step explanation:
Hope this helps!
Plz help. Write an equation of the line
y=mx+b format
Answers
On the graph, we can see that the line crosses the -2 on the y-axis. So, -2 is the y-intercept(b).
The rise over run is 8 down/up and 8 across.
So your answer should be y=-1x-2. Since the line is going down, the slope is negative.
Hope this helps!
dentify all the steps necessary for graphing parametric equations? select all answers that apply. select one or more: a. draw arrows on the curve to show the direction the curve follows b. plot the points c. create a table d. solve the equations for t and plot that point e. connect the points with a dashed line f. connect the points with a smooth curve g. combine both equations into one equation in terms of t h. setup your coordinate plane with t on the horizontal axis
Answers
The steps necessary for graphing parametric equations include creating a table, solving the equations for t and plotting those points, connecting the points with a smooth curve, and setting up the coordinate plane with t on the horizontal axis (c, d, f, h).
Create a table: Choose a range of values for t and calculate the corresponding values for x and y using the parametric equations. List these values in a table.
Solve the equations for t and plot those points: Solve the parametric equations separately for t to obtain the x and y coordinates. Plot these points on the coordinate plane.
Connect the points with a smooth curve: Once all the points are plotted, connect them with a smooth curve. This curve represents the graph of the parametric equations.
Set up the coordinate plane with t on the horizontal axis: Label the horizontal axis as t and the vertical axis as either x or y. This allows you to visualize how the x and y values change with respect to the parameter t.
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CAN SOMEONE SOLVE THIS PLEASE
−4x−(x−1)=3(x−5)
Answers
Answer: x = 2
Hope this helps!
Distribute and combine like terms
I’m not sure how to do it I’ve done a similar question but I don’t get this one
Answers
The standard deviation for the given data is 5
What is Standard Deviation ?
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.
Given that,
the data,
X Xₙ - X₀ (Xₙ - X₀)²
18 -7 49
21 -4 16
24 -1 1
24 -1 1
25 0 0
31 6 36
32 7 49
175 152
X₀ = 175/7 = 25
Variance = (Xₙ - X₀)²/(n-1)
= 152/(7-1)
= 25.33
Standard deviation = √Variance
= √25.33
= 5.03
Hence, the standard deviation is 5
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an experimenter tests the hypothesis that physical exercise helps people's mood. subjects in the experimental group participate on monday and tuesday and those in the control group on wednesday and thursday. in this study, what is the dependent variable? group of answer choices the exercise the hypothesis the day of the week the mood
Answers
An experimenter tests the hypothesis that physical exercise helps people's mood. In this study the mood is the dependent variable. Correct option is D.
The dependent variable is the variable being measured or tested in an experiment and is typically affected by the independent variable, which is the variable being manipulated or tested. In this case, the experimenter is testing the hypothesis that physical exercise helps people's mood.
Therefore, the dependent variable in this study is the mood of the participants. The experimenter will be measuring the mood of the participants in both the experimental and control groups to determine if there is a significant difference between the two groups.
The day of the week is not a variable being manipulated or tested in this study, but rather a variable used to distinguish between the experimental and control groups. Similarly, the exercise and the hypothesis are not the dependent variables in this study, but rather the independent variable and the purpose of the study, respectively.
Therefore, Option D is correct answer.
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Complete question is:
An experimenter tests the hypothesis that physical exercise helps people's mood. subjects in the experimental group participate on monday and tuesday and those in the control group on wednesday and thursday. in this study, what is the dependent variable?
group of answer choices
A. the exercise
B. the hypothesis
C. the day of the week
D. the mood
74% of 19 year old males are atleast 172 pounds , what percent of the males are not atleast 172 pounds?
Answers
Answer:
The percentage of males are not at least 172 pounds
P(X⁻ ≥ 172) = 0.26
Step-by-step explanation:
Step(i):-
Given that 74% of 19 -year -old males are at least 172 pounds
Let 'X' be a random variable in a binomial distribution
P( X≥172) = 74% = 0.74
we have to find that the percentage of males are not at least 172 pounds
Step(ii):-
The probability of males are not at least 172 pounds
P(X⁻≥172) = 1- P( X≥172)
= 1- 0.74
= 0.26
Final answer:-
The percentage of males are not at least 172 pounds
P(X⁻ ≥ 172) = 0.26
The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. What is the 99th percentile for the mean height of a random sample of 20 adult women?.
Answers
The 99th percentile for the mean height of a random sample of 20 adult women is approximately 68.7 inches, which is 3.7 inches above the mean of 65 inches.
The 99th percentile for the mean height of a random sample of 20 adult women can be calculated using the normal distribution. The normal distribution is a bell-shaped curve that describes the probability of a given event occurring. In this case, the mean and standard deviation of the height of adult women is used to calculate the probability of the mean height of a sample of 20 adult women being a certain value. For the 99th percentile, this means that the probability of the mean of the sample of 20 adult women being equal to or less than the value of 68.7 inches is 99%. This value is 3.7 inches above the mean of 65 inches, which is the expected mean height of adult women.
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The maker of an automobile advertises that it takes 11 seconds to accelerate from 20 kilometers per hour to 80 kilometers per hour. Assuming constant acceleration, compute the following. (a) The acceleration in meters per second per second (Round your answer to three decimal places.) ___ m/sec² (b) The distance the car travels during the 11 seconds (Round your answer to two decimal places.) ___ m
Answers
The acceleration during the 11 seconds is approximately 1.515 m/s², and the distance traveled during the 11 seconds is approximately 152.98 m (rounded to two decimal places).
To compute the acceleration and distance traveled during the 11 seconds, follow these steps:
Step 1: Convert initial and final velocities to meters per second.
Initial velocity (v1) = 20 km/h * (1000 m/km) / (3600 s/h) = 5.56 m/s
Final velocity (v2) = 80 km/h * (1000 m/km) / (3600 s/h) = 22.22 m/s
Step 2: Calculate acceleration (a) using the formula a = (v2 - v1) / t.
Acceleration (a) = (22.22 m/s - 5.56 m/s) / 11 s = 1.515 m/s² (rounded to three decimal places)
Step 3: Calculate the distance (d) traveled using the formula d = v1*t + 0.5*a*t².
Distance (d) = (5.56 m/s * 11 s) + 0.5 * (1.515 m/s² * (11 s)²) = 61.16 m + 91.815 m = 152.975 m
The acceleration during the 11 seconds is approximately 1.515 m/s², and the distance traveled during the 11 seconds is approximately 152.98 m (rounded to two decimal places).
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(Will mark Brainliest)Function g can be thought of as translated(shifted)version of f(x)=x²
Write The equation for g(x)
g(x)=__?__
Answers
Answer:
g(x) = (x + 2)² + 1
Explanation:
Given parent function: f(x) = x²
If the function translates two units right
g(x) = (x + 2)²If the function translates one units up
g(x) = (x + 2)² + 1 ← final function.Clasifica los siguientes números en los conjuntos numéricos a los que pertenezcan. Si es posible
Exprésalos en forma de fracción.
a)
8
c) −43
e)
1,27
g)
1,01002000300004...
b) −0,81
d) numero PI
f) − 64
h) 6
Answers
F(x)=4x-3
g(x)=X^3+2x
Find (gof)(-3)
Answers
Answer:
Step-by-step explanation:
Your aunt offers you a choice of $22,000 in 17 years or $950 today. At a discount rate of 20 percent, how much is your aunt's offer of $22,000 worth today? (Enter your answer as a positive number rounded to 2 decimal places.) If you invest $12,500 today, how much will you have in each of the following cases? Enter all answers as positive amounts. a. In 8 years at 7 percent? (Round your final answer to 2 decimal places.) b. In 17 years at 10 percent? (Round your final answer to 2 decimal places.) c. In 20 years at 12 percent (compounded semiannually)? (Round your final answer to 2 decimal places.)
Answers
At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.
To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.
For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.
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Can someone help me Simplify:
(-7) (-3)
????
Answers
21 is the value of expression .
What is a mathematical expression?
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.
An expression's basic components are as follows: Expression: (Math Operator, Number/Variable, Math Operator). Any mathematical statement made up of numbers, variables, and an action between them is called an expression or an algebraic expression.
= (-7) (-3)
= 21
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Help please I can’t get past this question and I’ve looked everywhere for it and can’t find it. It’s one of those statements and reasons questions.
Answers
Answer:
see below
Step-by-step explanation:
<1 and <2 are supplements
<3 and <4 are supplements
<1 is congruent to <4
∠1 + ∠2 = 180 definition of supplementary angles
∠3 + ∠4 = 180 definition of supplementary angles
∠1 + ∠2 = ∠3 + ∠4 transitive property of equality
∠1 = ∠4 given
∠1 + ∠2 = ∠3 + ∠1 substitution property of equality
∠2 = ∠3 subtraction property of equality
∠2 ≅ ∠4 definition of congruent angles
I need help with this pls
Answers
Answer:
$.5s+$4a=$15
Step-by-step explanation:
In a control chart when a data point falls outside the control limits (upper and lower), what must be concluded?
Answers
In a control chart, when a data point falls outside the control limits (upper and lower), it must be concluded that the process is out of control, indicating the presence of special-cause variation.
A control chart is a statistical tool used to monitor and analyze process performance over time. It has three main components: the centerline, which represents the process average; and the upper and lower control limits, which define the acceptable range of variability.
When all data points fall within the control limits, the process is considered to be in control, suggesting that the variation is due to common causes (normal variation inherent in the process). However, if a data point falls outside the control limits, it indicates that the process is out of control, and the variation is likely due to special causes (unusual events or circumstances affecting the process).
When an out-of-control point is identified, it is essential to investigate the cause of the variation to determine if it is due to an assignable cause or just random chance. If an assignable cause is found, corrective action should be taken to eliminate the source of the special-cause variation and bring the process back into control.
Once the process is stable and in control, continuous improvement efforts can be made to reduce common-cause variation and enhance process performance.
In summary, when a data point falls outside the control limits in a control chart, it must be concluded that the process is out of control, and special-cause variation is likely present. The next step is to investigate and address the cause of this variation to bring the process back into control.
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see attached photo, please help asap!!!
Answers
Answer:
3.398
Step-by-step explanation:
log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398
Question 1 What is the slope of the line that is represented by the equation y−15=−6(x+7)?
Answers
Step-by-step explanation:
Change the equation to the general form \(Ax + By + C = 0\).
\(y - 15 = - 6(x + 7) \\ y - 15 = - 6x - 42 \\ 6x + y - 15 + 42 = 0 \\ 6x + y + 27 = 0\)
The slope
\( = - \frac{A}{B} \)
\( = - \frac{6}{1} \)
\( = - 6\)
Answer: Slope is -6
Step-by-step explanation:
We want to rearrange the equation to the form of y=mx+b, where m is the slope and b the y-intercept.
y−15=−6(x+7)
y−15=−6x-42
y=−6x-42+15
y = -6x - 27
The slope is -6
Mark raised $405 for his softball team's fundraiser. he wants to raise at least $825. write and solve an inequality to determine how much more money mark must raise to reach his goal. let d represent the amount of money in dollars mark must raise to reach his goal.
Answers
Answer: d ≥ 825-405
You're Welcome
q+9p when q=18 and p=4 just the answer not how to solve
Answers
Answer:
The answer would be 54.
Answer:
The answer is 54.
Step-by-step explanation:
(Sorry I have to do this otherwise it will be deleted)
18+36
hey! i’ll give brainliest please help
Answers
Answer: Its the first one
The parents club compiled a cookbook.
One company charges $750 to make a master copy and $25 for each additional copy. The total selling price depends on
how many copies are ordered. Write a function rule and create a table of values to graph the rule. How much will you save per book by ordering 400 books instead of 100 books?
Answers
Answer:
each book saves $295.6875
Step-by-step explanation:
Let the number of book be n
Total cost = 750 + (n-1)*25
For 100 books
cost = 750 + 99*25 = $3225
each book costs = $322.5
For 400 books
cost = 750 + 399*25 = $10725
each book costs = $26.8125
each book saves $295.6875
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answers
The team can bring 6 or 7 players to the tournament. The equation used to determine the number of players is pp = $380.25/58.50.
Given:
Members of a lacrosse team raised $1431.75 to go to a tournament.They rented a bus for $1051.50 and budgeted $29.25 per player for meals.
We need to write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
So,The total amount spent on bus and meals
= 1051.50 + 29.25 pp
= 1051.50 + 29.25(pp)
The remaining amount can be used to buy tickets.
1431.75 - (1051.50 + $29.25 pp)
= 380.25 - 29.25 pp
Equating this with the total amount per player, we have:
29.25 pp = 380.25 - $29.25 pp
Adding both sides by $29.25 pp, we have:
2(29.25 pp) = 380.25
PP = 380.25/58.50
pp = 6.5
Therefore, the team can bring 6 or 7 players to the tournament.
The team can bring 6 or 7 players to the tournament. The equation used to determine the number of players is pp = $380.25/58.50.
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The functionf(x)is shown in the graph.
What is the equation forf(x)?
Enter your answer in the box.
Answers
Answer:7/5x -3
Step-by-step explanation:
PLZ help fast I need this I’ll give brainliest
Use the drop-down menus to complete each statement.
The equations x = 1 + 3t and y =-1 + 6t describe a line with a slope of
The equations x = 5 cost and y = 5 sint describe a
X2
A hyperbola with equation
.
= 1 can be parametrized similar to the circle and ellipse.
62
q?
if x = a sec t is one of the parmetric equations, the other will be y =
Answers
Answer:
1. 2
2.circle
3.b tan t
Step-by-step explanation:
The slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation x = 1 + 3t and y = -1 + 6t can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, m = 6, which is the slope of the line.
The equations x = 5 cos t and y = 5 sin t describe a circle.
These equations define the parametric form of a circle with a radius of 5 centered at the origin.
if x = a sec t is one of the parametric equations, the other will be y =b tan t
Hence, the slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
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Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which measurement is closest to the side length of this mural in feet ?
A.69 ft
B.12 ft
C.139 ft
D.35 ft
Answers
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D
9. Use natural logarithms to solve the equation. Round to the nearest thousandth.
3e2x + 4 = 24
-0.960
0.499
1.117
0.949
Answers
Answer: 0.949
Step-by-step explanation:
I took the test
What is the product of 2.3 x 0.2?
Answers
Answer:
0.46
Step-by-step explanation:
Product means to multiply so you multiply .2 by .3 and 2.0.