Answer:
This is not an equation. So it's not possible to find the value of x..
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
payments of $1400 each year for 8 years at 6ompounded annually
If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.
To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.
To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).
Plugging in the values, we have:
FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06
≈ $12,350
Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.
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Adequate Preparation for Retirement. In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement.
a. Develop appropriate hypotheses such that rejection of H0 will support the con-clusion that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66–69 age group who did not complete high school than it is for the population of the 66–69 year old.
b. In a random sample of 300 people from the 66–69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test?
c. At a = .01, what is your conclusion
a. The null hypothesis (H0) is that the proportion of those who are adequately prepared financially for retirement is the same for people in the 66-69 age group who did not complete high school as it is for the population of the 66-69-year-old (71%).
The alternative hypothesis (Ha) is that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.
b. To calculate the p-value for this hypothesis test, we can use a one-sample proportion test. The sample proportion (p-hat) is 165/300 = 0.55. Using a z-test, with a z-score of -2.35 and a standard deviation of 0.058, the p-value is 0.011.
c. At a significance level of 0.01, the p-value of 0.011 is less than the significance level, so we reject the null hypothesis. We can conclude that there is evidence that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.
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Find hf if ge= 43 yd.
Step-by-step explanation:
Area of this kit = 1/2 (gf * hf)
258 yd^2 = 1/2 (43 * HF )
HF = 258 *2 / 43 = 12 yds
Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me
Answer:
The equation of the line is
y = 2x + 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
From the question m is 2
Equation of the line using point (1,4) is
y - 4 = 2( x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Hope this helps you
∠1 and ∠2 are complementary angles. m∠1 is 5y+32 and m∠2 is 7y-14. Find m∠2 & show your work.
it was deleted last time I posted it???
\(\\ \sf\longmapsto 5y+32+7y-14=90\)
\(\\ \sf\longmapsto 12y+18=90\)
\(\\ \sf\longmapsto 12y=72\)
\(\\ \sf\longmapsto y=6\)
m<2=7(6)-14=42-14=28\)The required value of m∠2 would be 30 degrees when the value of y = 6 due to the given pair of angles being complementary.
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.
We have been given that the pair of angles as
(5y + 32)° and (7y - 14)°
∵ ∠1 and ∠2 are complementary angles
Here, the pairing of angles sums up to 90° then they are called complementary angles.
So 5y + 32 + 7y - 14 = 90°
⇒ 12y + 18 = 90
⇒ 12y = 72
⇒ y = 6
So m∠2 = 7y - 14
Substitute the value of y = 6 in the above equation, and we get
So m∠2 = 7(6) - 14 = 42 -12 = 30
Therefore, the value of m∠2 would be 30 degrees when the value of y = 6.
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If the odds against debroah's winning first prize are 3 to 5, what is the probability that she will win 1st prize?
Answer:
See below
Step-by-step explanation:
Odds AGAINST are 3 to5 then odds FOR are 2 to 5
2/5 = .4 = 40% chance of winning
A clay model in the shape of a triangular pyramid has a height of 5 inches. The area of the base of the clay model is 12 square inches. What is the volume of the sculpture in cubic inches
The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.
Explain about the pyramid:
The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.
volume of a pyramid = V=1/3 a²h
Given volume V = 162 cm³
Let 'x' be the side length.
Then , (x - 3) be the height of sculpture.
Put the values and find the length.
162 = 1/3 (x)² (x-3)
162 * (3) = (x)² (x-3)
486 = x²(x-3)
486 = x³ - 3x²
x³ - 3x² - 486 = 0
(use a graphing tool or calculator equation mode).
x = 9
Thus,
side length of sculpture = 9 cm
height of sculpture = 9 - 3 = 6cm
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Correct question:
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.
V=1/3 a^2h
Here, a is the side length of the pyramids square base and h is it’s height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures. base is _ centimeters.
PLS HELP THIS IS HARD ANYONE PLS
Answer:
it's going to be the first one, (x+7,-y)
Step-by-step explanation:
take one point, A for example and count how far it moved left and right. left is negative, right is positive, do the same for y
The function is g defined by the following rules
The values of g(x) is given in sequential order as 0,-2,-4,-5,-7
The function is given as : g(x)=-x-2
What is Mathematical function ?
Mathematical function is the representation of relation between independent variables and dependent variables.
Here, the values of independent variable \(x\) is given and it is to find the value of dependent variable g(x)
Therefore, for x=-2 the value of g(x) is :
g(x) = -x-2
g(x) = - (-2) - 2
g(x) = 2-2
g(x) = 0
similarly the other values of g(x) is calculated and written in a table given below.
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convert the polar equation to rectangular form and sketch its graph. r = 7 sin()
The polar equation r = 7 sin(θ) converts to rectangular form as x = 7y/2. It has a linear graph.
How to convert polar equation?To convert the polar equation r = 7 sin(θ) to rectangular form, we can use the trigonometric identities sin(θ) = y/r and cos(θ) = x/r. Rearranging the equation, we have r = 7(y/r), which simplifies to\(r^2\) = 7y.
Now, we can convert \(r^2\) = 7y to rectangular form by substituting\(x^2\) + \(y^2\)for \(r^2\). This gives us \(x^2\) +\(y^2\)= 7y, which is the rectangular form of the polar equation.
To sketch the graph, we can rewrite the equation as \(x^2\)+ \((y - 7/2)^2\) = 49/4. This represents a circle with center (0, 7/2) and radius 7/2. The graph will be a circle centered at (0, 7/2) with a radius of 7/2.
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What is the range of the given function?
Answer:
D) All real numbers
Step-by-step explanation:
The range of a function is the highest and lowest \(y\)-values of that function
Since both of these functions are linear, and have continuity at \(x=2\\\), the range of this function is all real numbers
Find the length of the segment indicated below
The calculated value of the side length in the triangle is 144
How to find the length of the indicated segmentFrom the question, we have the following parameters that can be used in our computation:
The simiar triangles
Using the theorem of corresponding sides, we hav
GH = 2JK
So, we have
10x - 36 = 2 * 4x
Multiply
So, we have
10x - 36 = 8x
Evaluate
2x = 36
So, we have
x = 18
This means that
GK = 4 * 18
GK = 144
Hence, the indicated side length in the triangle is 144
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Find the TOTAL surface area of this triangular prism in `cm^2
Enter your solution without units below
The total surface area of the triangular prism is
144 square cm
How to find the TSATo calculate the total surface area (TSA) of a triangular prism, you need to find the sum of the areas of all the faces of the prism. A triangular prism has three rectangular faces and two triangular faces (the bases).
The formula for calculating the TSA of a triangular prism is:
TSA = 2 * (area of triangle) + 3 * (area of rectangle)
TSA = 6 * 4 + 3 * 12 * 5
TSA = 24 + 120
TSA = 144 square cm
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Answer:
The answer is 216
Step-by-step explanation:
T.S.A=area of 2 triangle +area of 2 rectangle +rectangle
=2(1/2×4×6)+2(12×5)+(6×12)
=24+120+72
T.S.A=216cm²
how to subtract 20 - -10 in expression and evaluate .
You have final score of 20 points and your friend has a final score of -10 points. By how many points dud you win? write a subtraction expression and evaluate
we have that
The difference is equal to
20-(-10)=20+10=30 points
so
the answer is 30 pointsCynthia rounds a number, x, to one decimal point.
The result is 6.3
Write down the error interval for x.
Answer:
[6.26,6.29]U[6.31,6.34
Step-by-step explanation:
6.26
6.27
6.28
6.29
6.31
6.32
6.33
6.34
So in interval form [6.26,6.29]U[6.31,6.34]
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.
The inverse of a function can be found by swapping the numbers in each ordered pair of the function.
When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.
To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.
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please help with this thank you!
The y-axis numbers appear tο be cοntinuοus numerical values, and the cοοrdinates line graph depicts hοw these values vary οver time οr acrοss anοther variable.
What are cοοrdinate?A cοοrdinate in mathematics is a number οr cοmbinatiοn οf integers that indicates the pοsitiοn οf a pοint οr οbject in space. Cοοrdinates are οften used tο define the pοsitiοn οf a pοint οr οbject in a certain cοοrdinate system, such as the Cartesian οr pοlar cοοrdinate systems. A pοint, fοr example, is lοcated in the Cartesian cοοrdinate system by its distance frοm the οrigin alοng the x-axis and its distance frοm the οrigin alοng the y-axis. These distances are denοted by twο numbers, the x-cοοrdinate and the y-cοοrdinate, respectively. The twο cοοrdinates specify the pοint's pοsitiοn in the plane.
The image lοοks tο be a graph οr chart with a legend οn the right side. It is difficult tο cοnduct a full analysis οf the graph withοut additiοnal cοntext οr knοwledge abοut the data being displayed.
The legend οn the graph's right side mοst likely describes what each cοlοr means. The y-axis numbers appear tο be cοntinuοus numerical values, and the line graph depicts hοw these values vary οver time οr acrοss anοther variable.
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The mean temperature for the first 4 days in January was -7°C.
The mean temperature for the first 5 days in January was -6°C.
What was the temperature on the 5th day?
Answer:
the answer is -11
Step-by-step explanation:
yeah the answer is - 11
How do I Solve 75% of x =42
Answer:
\(=31.5\)
Step-by-step explanation:
Given the following question:
75% of 42
In order to find the answer, we use the formula to calculate percentage.
\(\frac{p\times n}{100}\)
\(\frac{75\times42}{100} =75\times42=3150\div100=31.5\)
\(=31.5\)
Which means 75% of 42 is "31.5."
Hope this helps.
Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?
This unit is operations and fractions how would I solve this?
Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
Find the measure of the indicated angle. Round to the nearest degree.
21
33
Answer:
The angle is 50 degrees
Step-by-step explanation:
Sine = Opposite / Hypotenuse
Sine ? = 21 / 33
21 / 33 = 0.6363
Cos-1 of 0.6363 is 50.4788
Round to the nearest degree
50.4788 = 50
sine^- 1 21/33 = θ
Answer: Approximately 0.7 or 70 degrees.
What is the value of y?
Enter your answer in the box.
y =
What is formula of segment?
The formula for a line segment is:
segment = √((x2 - x1)^2 + (y2 - y1)^2)
1. Calculate the difference between the x-coordinates: x2 - x1
2. Square the result of step 1: (x2 - x1)^2
3. Calculate the difference between the y-coordinates: y2 - y1
4. Square the result of step 3: (y2 - y1)^2
5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2
6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)
This final result is the length of the line segment.
The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.
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Find the values of the six trigonometric functions for the angle in standard position determined by each point.
(-8,-15)
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
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These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.
First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.
Next, we can determine the values of the trigonometric functions:
1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15
These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).
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Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.
The process is:
C = 2nr
2nr = c
r (2n) = c
\(r = \frac{c}{2n} \)
That's the answer☝️☝️☝️☝️
or maybe this one
r = 2n + c
sorry, I'm unsure, it has been too long since I studied that...
Answer:
C = 2nr
you divide by 2n both sides
that means C/2n = 2nr/2n
after that you simplify then it will be C/2n = r
r = C/2n
given a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y. a. prediction value are meaningful for all x-values that are realistic in the context of the original data setb. prediction value are meaningful only for x-values that are not included in the original data setc. prediction value are meaningful only for x-values in (or close to) the range of the original data
I really need help with this, i dont understand
Antonio needs to convert 1.2 liters of milk to milliliters. How many milliliters are there in 1.2 liters of milk?
Answer: 1200 milliliters.
Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.
the difference between the product of 4 and a number and the square of
the number
Answer:
4x-x^2 I believe
Step-by-step explanation: