Answer:
I believe that the answer is C
The height of Debbie is 85 centimetres. The height of Leo is 90 centimetres. Write the height of Debbie as a fraction of the height of Leo. Give your answer in its simplest form.
To write the height of Debbie as a fraction of the height of Leo in its simplest form is this: 17/18.
What does it mean to write a figure as a fraction of another?Writing one figure as a fraction of another can be done by representing the figures as numerators and denominators. In this case, what we will have is 85/90. That is the height of Debbie divided by the height of Leo.
To express this fraction in its simplest form will mean dividing the figures until they can no longer be divided. Using 5 as a common factor for dividing, we can conclude that the simplest form of the answer is 17/18.
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15) My bag contains two books each of weight kg and 3/7 folders each of weight
kg. What is the total weight of my bag5/21? What fraction of the total weight
21
are books?
Answer:
thx for the points MWAH!
Step-by-step explanation:
If the sum of three consecutive numbers is 1998, what is the first one?
Answer: 665
Step-by-step explanation: X + X + 1 + X + 2 = 1998
3X + 3 = 1998
3X + 3 - 3 = 1998 - 3
3X = 1995
3X/3 = 1995/3
X = 665
Verify the identity.
sin x/1-cos x = csc x + cot x
Answer:
See below for proof
Step-by-step explanation:
\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)
Please solve (15 points)
L 322 Quiz: The Federal Reserve
Question 9 of 10
Savings and loan associations are not subject to federal regulations.
A. True
B. False
SUBMIT
Below are descriptions of two different objects that begin at rest and then now forces acting on them as described below.
Object 1: A skateboard with unbalanced forces
Object 2: A bicycle with balanced forces
Which statement is true about the objects?
Both objects are moving.
Both objects are not moving.
Object 1 is moving, and Object 2 is not moving.
Object 1 is not moving, and Object 2 is moving.
Answer: C: object 1 is moving, and object 2 is not moving
Step-by-step explanation since object one is on unbalanced forces, it can cause it to start moving (ex: a hill, if a skateboard is sitting on the top of a hill on unbalanced forces it will probably roll down.) but since object 2 is on balanced forces it wont start to move and/or roll forwards or anything like that.
ill give you brainlest pls help
Answer:
A. m<R, m<S, m<Q
Step-by-step explanation:
In a triangle, the length of each side determines the size of the angle opposite it. Thus, the longer the side, the bigger the size of the angle opposite it. The shorter the side, the smaller the size of the angle opposite it.
In ∆QRS, we have the following:
✔️The longest side is RS = 16. <Q is opposite to RS, therefore <Q is the largest angle.
✔️The medium side is QR = 15. <S is opposite to QR, therefore <S is the medium angle.
✔️The shortest side is SQ = 9. <R is opposite to SQ, therefore <R is the smallest angle.
From smallest to the largest we would have:
m<R, m<S, m<Q
Which of the following inequalities is the correct translation for the expression: “Three less than twice a number is greater than or equal to 18”
A.2n − 3 > 18
B.3 − 2n > 18
C.2n − 3 ≥ 18
D.3 − 2n ≥ 18
Answer:
C............ good luck on the rest
The population of a town is predicted to grow according to the following model:
P = 15e0.012r
where P represents the number of people in thousands and t is the number of years since 2020. Find
the predicted population in the year 2030. Round your answer to nearest person
O 16,912 people
O 16,913 people
O 16 people
O 17 people
The predicted population in the year 2030 is 10 people
How to determine the predicted population in the year 2030From the question, we have the following parameters that can be used in our computation:
Population function, P(t)= 15е⁻⁰.⁰¹²⁺
Also from the question, we have
The variable t represents the number of years since 2020
This means that the value of t in 2030 is
t = 2030 - 2020
t = 10
So, we have
P(10)= 15е⁻⁰.⁰¹² ˣ ¹⁰
Evaluate the above products
P(10)= 15е⁻⁰.¹²
Evaluate the exponents
P(10)= 13.30
Approximate the above expression
P(10) = 13
This means that the number of people is 13
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-2 1/3 - (-5)=
Please help me
:
20
Linear Regression
9. The table below shows the average price of a movie ticket during certain years.
year 2002 2003 2004 2005 2006 2007
2008
price 5.80 6.03 6.21 6.41
6.55 6.88 7.18
2009
7.35
a) Find the regression equation.
b) During what approximate year will the price of a
movie ticket reach $157
can you provide a screenshot?
the greatest common factor of 12 and 26 pls explain the steps
Step-by-step explanation:
12- 2*6
26- 2*13
gcf =2
the least greatest common factor is 2
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 12s4 + 36s³
Step-by-step explanation:
12 s^4 + 36 s^3 you can factor out '12 ' to start
12 ( s^4 + 3 s^3 ) now you can filter out s^3
12s^3 ( s + 3 ) Done.
Please help thank you all so much
The domain of the composite functions:
a). (f + g)(-2) = 23
b). (f - g) (-2) = 1
c). f(x) - g(x) = x² - 5x - 13
What is composite function?A function is composite when the co- domain of the first mapping is the domain of the second mapping
Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:
a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13
(f + g)(-2) = 4 + 8 - 2 + 13
(f + g)(-2) = 23
b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13
(f - g)(-2) = 4 + 8 + 2 - 13
(f - g) (-2) = 1
c). f(x) - g(x) = x² - 4x - x - 13
f(x) - g(x) = x² - 5x - 13
Therefore, the domain of the composite functions:
a). (f + g)(-2) = 23
b). (f - g) (-2) = 1
c). f(x) - g(x) = x² - 5x - 13
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What is the horizontal asymptote of the function F(x)=(x-2)/(x-3)^2
O y = 0
O y = 1
O y = 2
oy=3
The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)²is;
A: y = 0
We are given the function;
f(x) = (x - 2)/(x - 3)²
Expanding the denominator gives us;
f(x) = (x - 2)/(x² - 6x + 9)
The rules for a horizontal asymptote are;
If the degree of the polynomials in both denominator and numerator of a rational function are the same, then the horizontal asymptote will be expressed as the quotient of coefficients of the highest degree terms.If the polynomial of the denominator has a larger degree than the numerator, then the horizontal asymptote will be y = 0.In our given expression, we can see that the degree of the denominator polynomial is greater than that of the numerator and as such the horizontal asymptote is y = 0.
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Find the missing angle in the triangle.
Answer:
the missing angle is 90 degrees (its a right angle triangle)
Step-by-step explanation:
29+61=90
90-180=90
The surface area of the right rectangular prism, with dimensions shown, is 160cm^2. The figure is not drawn to scale. What is the height of the prism?
Solution:
Note that:
Volume = LBH = 160 cm²Substituting the values into the equation.
Volume = LBH = 160 cm²=> (5)(2)H = 160 cm²Find the height (H).
=> 10H = 160 cm²=> H = 16 cmHeight be x
\(\\ \rm\hookrightarrow V=LBH\)
\(\\ \rm\hookrightarrow 10x=160\)
\(\\ \rm\hookrightarrow x=16\)
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
What is the approximate area of the shaded sector in the circle shown below?
100°
c
18 cm
O A. 31.4 cm2 O B. 565 cm O C. 15.7 cm O D. 283 cm2
Answer:
C
Step-by-step explanation:
Formula to get the area
A = r^2π
A = 16^2π
A= 804.24 cm^2
As per the given data, the approximate area of the shaded sector is 283 square cm, which is option D.
What is area?Area is a measure of the amount of space inside a two-dimensional shape or a flat surface. It is typically measured in square units, such as square meters or square feet.
To find the area of the shaded sector, we need to first find the area of the whole circle, and then multiply it by the fraction of the circle that is shaded.
The area of a circle is given by the formula:
A = \(\pi r^2\)
Where r is the radius of the circle. In this case, we are given that the radius of the circle is 18 cm, so we can substitute this value into the formula:
A = \(\pi 18^2\)
A = 324π
So, the area of the whole circle is 324π square cm.
The shaded sector has a central angle of 100 degrees, which is a fraction of the total central angle of 360 degrees. So, the fraction of the circle that is shaded is:
100° / 360° = 5/18
Therefore, the area of the shaded sector is:
A = (5/18) * 324π
A = 90π
Using 3.14 as an approximation for π, we get:
A ≈ 90 * 3.14
A ≈ 283
Thus, the approximate area of the shaded sector is 283 square cm, which is option D.
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
What precisely is a triangle?A triangle is a closed, two-dimensional geometric object composed of three line segments, known as sides, that intersect at three locations, known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all sides equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles less than 90 degrees), right (one angle equal to 90 degrees), or obtuse (all angles greater than 90 degrees). The area of a triangle can be computed using the formula A = (1/2)bh, where A is the area, b is the triangle's base, and h is the triangle's height.
Regarding the given diagram, the following claims are always true:
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°\s= m∠2 (the measure of the external angle at angle 2). (the measure of the exterior angle at angle 2). And because angles 2 and 3 are likewise interior triangle angles, we get m2 + m3 = m6, which can be rearranged to yield m5 + m6 = m3 + m4 + m5 = 180°.
m∠2 + m∠3 + m∠5 = 180°
This is due to the fact that angles 2, 3, and 5 are interior angles of the triangle, and the total of the inner angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
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6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?
Answer:
3
Step-by-step explanation:
6 / 2 = 3 hours
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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Can someone help please!! I need to know what X is.
Step-by-step explanation:
AB(x)/DE=BC/EF
AB/25=28/20
20AB=28×25
20AB=700
AB=700/20
AB=35
SO x=35
how many nonnegative integer solutions are there for the following equality? x1 c x2 c c xm d k
We get the number of nonnegative integer solution for the given pair of equations as 36 and 105 respectively.
The number of non-negative integer solutions of x1+x2+x3=7 is the number of permutations of a multiset with seven 1's, and two +'s. This is
9!/7!2! = 36
Similarly, the number of non-negative integer solutions of x4+x5+x6=13 is the number of permutations of thirteen 1's, and two +'s. This is
15!/13!2! = 105
This is why the first number in your combination is what the variables equal, and the second is "one less" the amount of variables, since you're permuting the +'s.
Hence we get the required answer.
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How many nonnegative integer solutions are there to the pair of equations x1+x2+…+x6=20 and x1+x2+x3=7?
Please please please help. I'm in honor's geometry and if I don't get my grade at least to a C, I'm going to fail
In the diagram below, m is the perpendicular bisector of BC.
If BK = 5x, AC = 6x + 7, CP = 4x, AB = 9x – 14. Find BC
Answer:
BC = 56 units
Step-by-step explanation:
since the main diagonal AK bisects the diagonal BC , then the figure is a kite.
• the disjoint pairs of consecutive sides are congruent in a kite, that is
AB = AC and BK = CK
using the pair AB = AC to solve for x
9x - 14 = 6x + 7 ( subtract 6x from both sides )
3x - 14 = 7 ( add 14 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Since m bisects BC , then
CP = PB and
BC = CP + PB = 4x + 4x = 8x
then
BC = 8x = 8 × 7 = 56
3/4x-4=5/6
Rewrite so it doesn’t have any fraction
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years. Step 1 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.
Step-by-step explanation:
For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.
As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.
We have the following problem:
5.4 years is the average age for the entire population.Based on the Central Limit Theorem, 5.4 years would be the mean of the sampling distribution of sample means.Answer:
Step-by-step explanation:
The mean of the sampling distribution of sample means can be calculated using the formula:
μM = μ
where μ is the population mean and M is the sample mean.
Thus, μM = μ = 5.4 years.
Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.