Which expression is equivalent to5(h+9)
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
each tile in the model represents 1/4. How many titles make a group of 3/4
Answer:
3 tiles
because 1/4+1/4+1/4=3/4
I hope this helps you!
The WHO MONICA Project collected blood pressure data (in bpm) for people in China. Data based on information from the study are in the table below. Determine if the data are from a population that is normally distributed.
To determine if the data collected by the WHO MONICA Project in China are from a population that is normally distributed, statistical tests can be used. One common approach is the Shapiro-Wilk test. However, since you have not provided the actual data, it is not possible to perform the test and give a definitive answer.
The Shapiro-Wilk test compares the observed data to what would be expected in a normally distributed population. If the p-value obtained from the test is greater than the chosen significance level (e.g., 0.05), we can conclude that the data are normally distributed.
It's important to note that the assumption of normality is often tested when performing statistical analyses. If the data are not normally distributed, alternative methods that do not rely on this assumption should be used.
In conclusion, without the actual data, it is not possible to determine if the blood pressure data collected in China by the WHO MONICA Project are from a population that is normally distributed.
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the hypotenuse of a right triangle is 3 times as long as its shorter leg. the longer leg is 12 centimeters long. to the nearest tenth of a centimeter, what is the length of the triangle's shorter leg?
Fred works shift work. He makes $25.00 an hour if he works days. He gets a shift premium of $2.50 an hour if he
works evenings or weekend. Fred worked 8 hours a day Monday to Friday and an additional 5 hours on the
weekend. What is Fred's gross pay?
Given r(x) =x' - 4x2 + 4x - 6, find the value of r(2). What does your answer tell you about x - 2 as a factor of r(x)? Explain.
We can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).
What is Factor?A function that accepts a real number as input, typically represented by the variable x and outputs another real number, typically the value of the function denoted by f is known as a real-valued function of a real variable (x).Any polynomial that is divisible by the polynomial P(x) is a factor of that polynomial (x).So, we know that the equation is:
r(x)=x^3-4x^2+4x-6:Now, calculate the equation when x = 2.
r(2)=2^3-4(2)^2+4(2)-6r(2)=8-16+8-6r(2)=-6Now, we can conclude that:
As we see that x=2 is not equal to zero.Implies x-2 does not divide r(x) evenly.Thus x-2 is not a factor of given r(x).Therefore, we can conclude that the value of r(2) which is -6 and x - 2 is not the factor for r(x).
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Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The cylinder x2 + y2 = 81 and the surface z = xy.
By applying the concept of Vector function, it can be concluded that the vector function is r(t) = 9 cos(t) i + 9 sin(t) j + (81 cos(t).sin(t)) k
Vector function is a function whose origin is a set of real numbers and whose result area is a set of vectors.
A vector function r(t) is represented as:
r(t) = \(x_{t} i\) + \(y_{t} j\) + \(z_{t} k\)
Cylinder : x² + y² = 81
Surface : z = xy
Now we look at the cylinder equation:
x² + y² = 81
x² + y² = 9²
We multiply each side by 1:
1 * (x² + y²) = 1 * 9²
If we recall the trigonometry function cos²(t) + sin²(t) = 1, then we have:
x² + y² = (cos²(t) + sin²(t)) * 9²
= 9²cos²(t) + 9²sin²(t)
= (9 cos(t))² + (9 sin(t))²
Lets assume x² = (9 cos(t))² and y² = (9 sin(t))², then we get :
x = 9 cos(t)
y = 9 sin(t)
Now we substitute the value of x and y into z equation:
z = xy
= 9 cos(t) x 9 sin(t)
= 81 cos(t).sin(t)
As we know the value of x, y, and z, we can get the vector function r(t):
r(t) = \(x_{t} i\) + \(y_{t} j\) + \(z_{t} k\)
= 9 cos(t) i + 9 sin(t) j + (81 cos(t).sin(t)) k
Thus the vector function is r(t) = 9 cos(t) i + 9 sin(t) j + (81 cos(t).sin(t)) k
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in a random sample of 99 residents of the state of new york, the mean waste recycled per person per day was 2.12.1 pounds with a standard deviation of 0.250.25 pounds. determine the 90�% confidence interval for the mean waste recycled per person per day for the population of new york. assume the population is approximately normal.
The mean waste recycled per person per day for the population of new- york is 1.9 < u < 2.3 .
Given that,
The mean waste recycled per person per day = 2.12
Standard Deviation = 0.250
c = 0.9 , So \(\alpha\) =1-c =0.10
n = 9<30 so we use t critical value.
From t table we get the critical value = 1.859
90% confidence interval for the mean u
So,
X = 2.1 , s = 0.25 , n= 9
2.1 - 1.86 (0.25/\(\sqrt{9}\)) < u < 2.1 =1.86 (0.25/\(\sqrt{9}\))
1.954 < u < 2.225
1.9 < u < 2.3 .
Therefore,
From 1.9 < u < 2.3 we get that the population is approximately normal.
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Brookfield Furniture needs to ship 119 couches across the country. If they can fit 9 couches in each truck, how many couches will be in the partially full truck?
Answer:
2
Step-by-step explanation:
to find the number of couches in the partially filled truck, divide 119 by 9
119/9 = 13.2222
so 13 cars will contain 9 couches packed fully
number of trucks partially filled = 119 - (13 x 9) = 2
can someone help me with this
Answer:
1. 40 members
2. 4 cheerleaders
3. 40 marbles
4. 2 marbles
5. 8
6. 24
Step-by-step explanation:
1. cross multiply 12/x=30/100
2. cross multiply 12/x=10/100
3. 18/x=45/100
4. x/40=5/100
5. we know 5% is 2 marbles. multiply by 4 to get 8 marbles.
6. 20%=8 marbles. 60/20= 3. 3 x 8= 24 marbles.
please answer!!! will give a lot of points and brainliest if i can figure that out
Answer: 2√14
Step-by-step explanation:
^2=squared
let the missing side =x
9^2-5^2=x^2
81-25=56
56^2
√54
=2√14
Answer:
10.295630141 or 10.3
Step-by-step explanation:
Pythagorean Theorem
\(c^{2} = a^{2} + b^{2}\)
add in known sides
\(9^{2} + 5^{2} = 106\)
square root
\(\sqrt{106}\)
Answer: 10.295630141 or 10.3 rounded
The chancellor of a major university was concerned about alcohol abuse on her
campus and wanted to find out the proportion of students at her university who visited campus bars on the weekend before the final exam week. Her advisor took a random sample of 250 students. The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of:__________.
i. a categorical random variable.
ii. a discrete random variable.
iii. a continuous random variable.
iv. a parameter.
The total number of students in the sample who visited campus bars on the weekend before the final exam week is an example of a discrete random variable.
Discrete Random Variable: A discrete random variable is a statistical variable that takes a finite or countable number of values. For instance, the number of cars on a street, the number of people in a movie theatre, and the number of students in a class are all examples of discrete random variables. For example, the total number of students in the sample who visited campus bars on the weekend before the final exam week can take a finite set of values from 0 to 250, making it a discrete random variable.
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Is the eye color of a student in class classified as a qualities or quantitive variable
Answer:
Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.
someone please help me
Answer:
a= im not sure sorry
h= horizontal shift
k= vertical shift
Step-by-step explanation:
a = the vertical stretch or compression factor
h = is the x-translation, that is it moves the graph right or left
k = The 'k' is the "vertical shift".
If positive, moves graph up k units.
If negative, moves graph down k units.
Antonio finished the race in 28 minutes and 11.00 seconds. Julio finished 0.08 second faster than Antonio. Pete finished 0.1 second faster than Julio. How long did it take Pete to finish the race?
Answer:
It took Peter 28 minutes and 10.82 seconds to finish the race.
Step-by-step explanation:
We have that:
\(t_{A}\): Antonio = 28 min + 11.00 s (1)
\(t_{J}\): Julio = A - 0.08 s (2)
\(t_{P}\): Pete = J - 0.1 s (3)
Then, the time at which Pete finished the race is:
\( t_{P} = t_{J} - 0.1 \) (4)
By entering equations (1), (2), (3) into (4) we have:
\( t_{P} = (t_{A} - 0.08) - 0.1 \)
\( t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s \)
Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.
I hope it helps you!
a) what is the cube root of 729
b) describe how to construct a cube root of 729
Answer:
9
Step-by-step explanation:
a.) cube root of 729
³√729
= 9
b.) look for a number that you will multiply thrice to get 729
which is 9 or u will use your calculator
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If y=3 when x=12, find y when x=24.
Answer:
y = 6
Step-by-step explanation:
24/12 = 2
2*3 = 6
Answer:
y=6 if x=24 hope this helps
PLEASE HELP ME Which of the following statements is not supported by the Venn diagram below?
There are 55 students taking biology and geometry.
There are 39 students who are not taking both geometry and biology.
There are more students in biology than students in geometry.
There are more students in geometry than students taking only biology.
Answer:
the answer is
Step-by-step explanation:
There are more students in biology than students in geometry.
The following statements does not support the given venn diagram:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
What are Venn diagrams?
The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.
In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.
Solution:
If we consider the first statement i.e, there are 55 students taking biology and geometry then through the venn diagram we get:17₊ 22 ₊8 = 47
The result of the addition operation is not equal to the number of students, hence it does not support to the statement.
If we consider the second statement i.e, there are 39 students who are not taking both biology and geometry then through the venn diagram we get:17 ₊ 22 = 39
The result of the addition operation is equal to the number of students, hence it supports the statement.
If we consider the third statement i.e, there are more students in biology than students in geometry then through the venn diagram we get:17 ₊ 8 = 25 and 8 ₊ 22 = 30
where, 25 < 30
Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.
If we consider the fourth statement i.e, there are more students in geometry than students taking in biology, then through the venn diagram we get:22 ₊ 8 = 30
30 > 17
Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.
So the following statements does not support the venn diagram given:
There are 55 students taking geometry and biology.
There are more students in biology than students in geometry.
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The bill for car repairs is $425 for parts and labor. The cost of parts is $226 and labor is $36.00 per hour. If h represents the number of hours of labor, which equation can you use to find the number of hours of labor?
Group of answer choices
226 = 425 – 36h
226(h + 226) = 425
36 + 226h = 425
36h + 226 = 425
Answer:
the third one
Step-by-step explanation:
36+ 226h=425, I hope this helps:)
The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A. T/F
True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.
The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.
The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.
The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.
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HATS Bill has h hats. If he buys 8 more hats, then multiplies his total by 3 he would still have fewer hats than Jim. Jim has 45 hats. Write and solve an inequality that represents this situation. How many hats does Bill have?
The inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7
HATS Bill has h hats
If he buys 8 more hats then the number of hats he has = h + 8
then multiplies his total by 3 then the number of hats he has = 3(h + 8)
Still Bill has fewer hats than Jim, Jim has 45 hats
then the inequality will be 3(h+8) < 45
3(h+8) < 45
3h + 24 < 45
3h < 21
h < 7
Therefore, the inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7
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a tank is being filled with water at the rate of 2 3 450t gallons per hour with t > 0 measured in hours. if the tank is originally empty, how many gallons of water are in the tank after 5 hours?
The rate of filling water in the tank is 23450t gallons per hour.
Let's assume that the time taken to fill the tank is t hours.
The volume of water filled into the tank at time t is given by the expression V(t) = 23450t.
The tank is originally empty, which means its volume = 0 gallons.
After 5 hours,
t= 5 hours
The volume of water filled in is given by \(V(5) = 23450 * 5= 1,17,250\) gallons of water.
Therefore, 1,17,250 gallons of water are filled in the tank after 5 hours.
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Multiply. Write your answer in simplest form 1/3 x 1/6
Answer:
1/18
Step-by-step explanation:
1 x 1 = 1
3 x 6 = 18
1/18
the volume of a rectangular prism is represented by 36x^3-28x+8 the height is 3x-1 and the width is 4. write an expression representing the prisms length then use polynomial long division to simply the expression.
The expression for the length of the rectangular prism is L = 9x² + 7x - 2
Given data ,
Let the length of the rectangular prism be L
Let the volume of the rectangular prism be V = 36x³ - 28x + 8
Let the height of the prism be H = 3x - 1
Let the width of the prism be W = 4
And , Volume of Rectangle = Length x Width x Height
On simplifying , we get
36x³ - 28x + 8 = L ( 3x - 1 ) ( 4 )
L ( 12x - 4 ) = 36x³ - 28x + 8
By long division , we get
-----9x² + 7x - 2--------------------------------------
4(3x - 1) | 36x³ - 28x + 8
- (36x - 9x)
-------------------------------------------------
7x - 2
- (7x - 2)
---------------------------------------------
0
Hence , the length of the prism is L = 9x² + 7x - 2
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consider the line 6x+5y=2
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:
Step-by-step explanation:
Slope of this line and its parallel line is equal
slope = - a / b
= - 6 / 5
Slope of a perpendicular line = 5 / 6
rectangle has a length of 24 in. and a width of 14 in. it is dilated and the image has a width of 21 in. what is length of the image of the rectangle? (
Calculating this expression, we find that the length of the image of the rectangle is 36 in.
To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:
(image width) / (original width) = (image length) / (original length)
Substituting the known values, we have:
21 in. / 14 in. = (image length) / 24 in.
Solving for the image length, we get:
(image length) = (21 in. / 14 in.) * 24 in.
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The NWBC found that 16.5% of women-owned businesses did not provide any employee benefits. What sample size could be 99% confident that the estimated (sample) proportion is within 6 percentage points of the true population proportion?
A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.
To calculate the required sample size, we can use the formula:
n = (\(z^2\) * p * q) /\(e^2\)
where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).
Substituting the values, we get:
n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)
Solving for n, we get:
n ≈ 329
Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.
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Find dy/dx by implicit differentiation. x^3 + y^3 = 8
First, we derivate both sides of the equation to get the following:
\((x^3+y^3=8)^{\prime}=3x^2+3y^2\cdot y^{\prime}=0\)Notice how the derivative of y^3 has to be written: first you do the derivative using the general polynomial formula and then you write y' as a factor.
Then, we just solve for y' to find dy/dx:
\(\begin{gathered} 3x^2+3y^2\cdot y^{\prime}=0 \\ \Rightarrow3y^2\cdot y^{\prime}=-3x^2 \\ \Rightarrow y^{\prime}=\frac{-3x^2}{3y^2}=-\frac{x^2}{y^2} \\ y^{\prime}=-\frac{x^2}{y^2} \end{gathered}\)therefore, the implicit derivative of x^3+y^3=8 is y'=-x^2/y^2Write the equation for g(x)
The equation of the function, g(x) from the task content is; g(x) = -x/25 + 203/25.
What is the equation of the function g(x)?From observation of the function, f(x), it follows that the slope of f(x) is 25. Hence, it follows that the slope of g(x) is; -1/25 since both functions are perpendicular to each other.
Therefore, the equation for g(x) is;
-1/25 = (y-8)/(x-3)
25y -200 = -x +3
Hence, y = -x/25 + 203/25.
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What’s the answer guys .
Answer:
Hello! Your answer would be, D)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Brainiest plz Have a nice mourning! Hope you make an 100%! -Amelia♥