A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area of the photograph is square inches, what is the width of the photograph?
The width of the photograph is blank inches.
Answer:
width is also "inches"
Step-by-step explanation:
The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?
Answer:
Step-by-step explanation: 462 Divided by 24 = 19.25$
Proof: 19.25 x 24 = 462
Answer: 19.25$
Find f(5) for f(x) = 6 (3)
Answer:
5f=18
5f/5f=18/5f
f=3 2/5
Which statement is true about permanent life insurance?
A. Permanent life insurance policies are paid upfront and last the duration of the policy holder's life.
B. Permanent life insurance is usually the least expensive option for a young policy holder.
C. Permanent life insurance policies insure policy holders for as long as they pay a premium.
D. Permanent life insurance is usually less expensive for older policy holders than young policy holders.
Answer:
Step-by-step explanation:
C. Permanent life insurance policies insure policy holders for as long as they pay a premium, is a true statement.
Permanent life insurance is a type of life insurance policy that provides coverage for the policyholder's entire life, as long as they continue to pay the premium. Unlike term life insurance, which provides coverage for a specified period of time, permanent life insurance is designed to last for the duration of the policyholder's life, as long as they pay the required premiums.
Option A is not correct because permanent life insurance policies require ongoing premium payments, not an upfront payment.
Option B is not correct because permanent life insurance tends to be more expensive than term life insurance, especially for younger policyholders.
Option D is not correct because permanent life insurance tends to be more expensive for older policyholders, due to the higher likelihood of the policyholder passing away, which means the insurance company will have to pay out the death benefit sooner.
Answer:
C. Permanent life insurance policies insure policy holders for as long as they pay a premium
Step-by-step explanation:
The length of a radius of a circle, measured in centimeters, is represented by the expression x + 1.5. The diameter of the circle is 9 2/5cm. What is the value of x?
Answer:
The value of x is 3.2 cm.
Step-by-step explanation:
We know that the diameter of the circle is 9 2/5 cm. We also know that the diameter of a circle is twice the length of its radius. Therefore, we can write:
2(radius) = diameter
2(x + 1.5) = 9 \ 2/5
Multiplying both sides by 5 to get rid of the fraction, we get:
2(x + 1.5) * 5 = 9 * 5 + 2
10(x + 1.5) = 47
Dividing both sides by 10, we get:
x + 1.5 = 4.7
Subtracting 1.5 from both sides, we get:
x = 4.7 - 1.5
x = 3.2
Therefore, the value of x is 3.2 cm.
Humanity would achieve in life expectancy of 110 years in approximately
Humanity would achieve a life expectancy of 110 years in approximately 60 years.
To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.
In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.
110 years - 80 years = 30 years
Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:
30 years / 5.3 years per decade ≈ 5.66 decades
Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.
To calculate the number of years, we multiply the number of decades by 10:
6 decades * 10 years per decade = 60 years
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can anyone please help me with this I don't understand what the question is trying to ask (please explain) thank you
Hello!
To solve this exercise, we must use the following formula to calculate the volume of the pyramid:
\(V=\mathrm{\dfrac{AreaofBase\cdot height}{3}}\text{ }\)We already know that the area of the base is 6in², and the height is 15in. So, we have:
\(V=\frac{6in^2\cdot15in}{3}=\frac{90in^3}{3}=30in^3\)Answer:30in³.
The winery sold 81 cases of wine this week. If twice
as many red cases were sold than white. how many
white cases were sold this week?
Answer:
21 cases
Step-by-step explanation:
red cases=2x. white cases=x
2x+x=81
3x=81
x=21 cases
I need help solving for Y.
I know that x = 11 but I need help finding Y. Please help, Thanks.
Answer: 11
Step-by-step explanation:
plug in x where eligible
4(11)-10 and 2(11)+12
both equal 34 and since a triangle's interior angles always equal 180 you can solve for the 3rd angle 32*2= 64 then 180-64= 116
You are building a 3-foottall dresser. You want the volume to be 42 cubic feet.a. What should the area of the base be?b. Give a possible length & width of the base.c. Make a hand drawn sketch of the dresser with the dimensions you chose.
Answer
a. 14 ft²
b. length = 7 ft, width = 2 ft
c.
Step-by-step explanation
a. The dresser has a shape of a rectangular prism. Then, the volume of the dresser is calculated as follows:
\(V=\text{ Area of the base}\cdot\text{ height}\)Substituting with V = 42 cubic ft, and height = 3 ft, and solving for the area of the base:
\(\begin{gathered} 42=\text{ Area of the base }\cdot3 \\ \frac{42}{3}=\text{ Area of the base} \\ 14\text{ ft}^2\text{ = Area of the base} \end{gathered}\)b. The base of the dresser is a rectangle. Then, the area of the base is calculated as follows:
\(A=\text{ length}\cdot\text{ width}\)Assuming the length is 7 ft, and substituting A = 14 sq ft, the width must be:
\(\begin{gathered} 14=7\cdot\text{ width} \\ \frac{14}{7}=\text{ width} \\ 2\text{ ft = width} \end{gathered}\)
What is the answer? I need help
Step-by-step explanation:
B
110 +120 + 70 +ACD
(Must equal 360°)
ACD =60°
Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
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If a wheel rotates by 1888 degrees, how many complete revolutions has it made?
The number of revolutions made by the wheel is 5.24 ≅ 5.
Finding number of revolutions:
One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.
Here we have
A wheel rotated by 1888°
As we know One complete revolution is equal to 360 degrees
Hence, the angle can be rotated by the wheel in 1 rotate = 360°
Let the wheel make 'x' revolution to make 1888°
=> 360(x) = 1888
=> x = 1888/360
=> x = 5.24
Therefore,
The number of revolutions made by the wheel is 5.24 ≅ 5.
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The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22
As a manager of a company you are given 2 estimates for the annual firm’s profits: 1) Estimate A predicting that the mean profit would be between $1mil and $1.5 mil which is a 95% confidence interval; 2) Estimate B that the annual profits are between $1.2 mil and $1.4 mil, a 93% confidence interval. Which of the two estimates is more accurate and why?
Answer and Explanation:
A confidence interval determines the probability that a range of values(e.g-given a large data set )has the true parameter. Example, to find mean of height of 30+ men, our confidence interval will say that there is 96% confidence that the mean height of 30+ men is between 5ft and 6ft. While confidence intervals, narrow or broad with high or low significance levels may not be akin to accuracy, it will only help to determine the precision or otherwise of our estimate. For example, if confidence interval is narrow as in second option and confidence level is lower, it only narrows down our options to ascertain the true mean or parameter we are investigating and doesn't exactly affect accuracy since we are still not 100% confident our true mean lies in this interval.
PLEASE HURRY TAKING A TEST RN
Type the correct answer in each box.
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.
The value of x is
degrees, and the value of y is
degrees.
The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
What is the value of angle x and angle y?The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;
The value of angle adjacent x = 102⁰
The value of angle x is calculated as;
x = 180 - 102 ( sum of angles on a straight line)
x = 78⁰
The value of angle y is calculated as follows;
y = 115⁰ (corresponding angles are equal)
Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
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Which of these sums is less than 1? A. 15+38 B. 23+710 C. 78+35 D. 45+58
None of the sum is less than 1
What is addition?The act of combining two or more items is known as addition.
The process of computing the sum of two or more numbers in mathematics is called addition.
It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition.
In the given addition instances none is less than 1
A. 15 + 38
= 53
B. 23 + 710
= 733
C. 78 + 35
= 113
D. 45 + 58
= 103
Since all the options listed are solved and all are more than 1, hence we say that no option is less than 1
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SOMEONE PLEASE ANSWER ASAP!!!
Answer:
for band female box: 32, for band male box: 29, for chorus female box: 24, for chorus male box: 25. then you can add up for the total boxes
how many solutions does the system of equations have y-5x=-6 and 3y-15=-12
Answer:
one solutionStep-by-step explanation:
to understand thisyou need to know about:system of linear equationPEMDAStips and formulas:a system of linear equation has only one solution if \(\frac{a_1}{a_2}\neq \frac{b_1}{b_2}\)let's solve:define a,b
\(a_1=1\)\(a_2=3\)\(b_1=-5\)\(b_2=-15\)\( \sf substitute \: the \: value \: of \: a_1\: a_2 \: b_{1}\: b_{2} : \\ \sf \frac{1}{3} \neq \frac{ - 5}{ - 15} \\ \sf \frac{1}{ 3} \neq - \frac{1}{3} \)therefore
the system of linear equation has only one solution
2 ( x + 7 ) + 3 ( x + 1 )
Answer:
The answer is 5x+17
Answer:
X = 7
Step-by-step explanation:
2(x+7) +3(x+7)
2x + 14 + 3x + 21
2x +3x +14 +21
5x ÷5 + 35 ÷5
x. = 7
PLease help asap BRAINLIEST ANSWER
Given: line{AB}with point A (2,2) and the midpoint M( 4,-2)
Identify the coordinates of point `B.`
Given line `t` on the graph provided, choose all points that lie on the line that passes through point `P` and is perpendicular to line `t`.
Answer: (6,-6)
Step-by-step explanation:
To find the coordinates of point B, we can use the midpoint formula:
Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
M = ((x1+x2)/2, (y1+y2)/2)
Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:
4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6
-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6
Therefore, point B has coordinates (6, -6).
As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.
Evaluate the expression
12 - 3 2+429,- 4) for y = 3.
Answer:
9,427) y=5
is correct answer
pls help and explain how you got the answer
The class of the equation and the cross section equation are;
The equation is a hyperboloid of two sheets
The cross sections are;
Equation at z = 0 is; y²/8 - x²/8 = 1
Equation at y = -4 is; x²/8 + z² = 1
Equation at y = 0 is; x²/8 + z² = -1
Equation at y = 4 is; x²/8 + z² = 1
Equation at x = 0 is; y²/8 - z² = 1
What is an equation ?An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.
The equation can be presented as follows;
y² = x² + 8·z² + 8
y² - x² - 8·z² = 8
y²/8 - x²/8 - z² = 1
The above equation is the equation of an hyperboloid of two sheets, where;
a² = 8, b² = 1, and c² = 8
Please find attached the diagram of the surface, created with an online 3D graphing tool.
The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;
y²/8 - x²/8 - 0 = 1
y²/8 - x²/8 = 1
The above equation is the equation of an hyperbola in the xy plane
The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 4²/8 = -1
- x²/8 - z² = -1
x²/8 + z² = 1
The above is an equation of an ellipse in the xz plane
The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;
0²/8 - x²/8 - z² = 1
- x²/8 - z² = 1
Therefore; x²/8 + z² = -1
The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 2 = -1
x²/8 + z² = 1
The above equation is the equation of an ellipse in the xz plane
The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;
y²/8 - 0²/8 - z² = 1
y²/8 - z² = 1
The equation is the equation of an hyperbola in the yz plane
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What input value
corresponds to an output
value of 10?
x f(x)
10. 6
14. 10
18. 15
22. 19
Answer:
14
Step-by-step explanation:
Look for 10 in the f(x) column. This is the output value.
Find the corresponding value in the x-column. This is the input for that output value.
The input that corresponds to an output of 10 is x=14.
Find a formula for the nth term
of the arithmetic sequence.
First term -2
Common difference 8
an = [? ]n + []
Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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Find the inverse of f(x) = √9 - x - 8
A disc jockey is organizing his music. He has
277 albums with 14 songs on each of them and
177 singles with 1 song on each of them. How
many total songs does the disc jockey have?
Answer:
The total numbers of songs disc jockey have = 4055 songs
Step-by-step explanation:
As given, A disc jockey has 2 types of files :
1 : Albums
2 : Singles
Given that , in every album there is 14 songs
as we have 277 albums
So, total numbers of songs in 277 albums = 277×14 = 3878 songs ........(1)
Now,
Given that, in each singles there is 1 song
As we have 177 singles
So, total number of songs in 177 singles = 177×1 = 177 songs ..........(2)
So, the total numbers of songs disc jockey have = Total number of songs in 277 albums + total number of songs in 177 singles
⇒The total numbers of songs disc jockey have = 3878 + 177
= 4055 songs
∴ we get
The total numbers of songs disc jockey have = 4055 songs
I need help!!!! Anyone know the answer?
Answer:
I would say divide the two number the round to the nearest ten
Step-by-step explanation:
In Bill the Boring dryer there are black shirts, gray shirts, black sweaters, and gray sweaters. Bill is going to take one of these pieces of clothing out of the dryer at random to check if his clothes are completely dry. What is the probability that the piece of clothing Bill takes out is black or is a shirt
Answer:
Shirt probability: 100%
Black probability 50%
Step-by-step explanation:
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
The probability that Bill takes out a black or a shirt is 0.8, or 80%
How to calculate the probabilityWe can use the following formula to calculate the probability that the piece of clothing Bill takes out is black or a shirt:
P(black or shirt) = P(black) + P(shirt) - P(black and shirt)
P(black) is the probability that the piece of clothing is black.
P(shirt) is the probability that the piece of clothing is a shirt.
P(black and shirt) is the probability that the piece of clothing is both black and a shirt.
The probability that the piece of clothing is black is 4 / 10 = 0.4. The probability that the piece of clothing is a shirt is 6 / 10 = 0.6. And the probability that the piece of clothing is both black and a shirt is 2 / 10 = 0.2.
So, the probability that the piece of clothing Bill takes out is black or a shirt is:
P(black or shirt) = 0.4 + 0.6 - 0.2
= 0.8
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