Answer:
When x = 5, y = 7000 * 5 + 125000 = $160,000.
When x = 10, y = 7000 * 10 + 125000 = $195,000.
Answer:
f(5) = $160,000
f(10) = $195,000
Step-by-step explanation:
Simply plug in 5 and 10 as x into the equations:
y = 7000(5) + 125000
y = 35000 + 125000
y = 160000
y = 7000(10) + 125000
y = 70000 + 125000
y = 195000
If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.
True
False
The statement that W must be a subspace of V is "true."
What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.Fr the given question;
To demonstrate that a subset is indeed a subspace, you must demonstrate three things:
Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.As, it is given in the question that;
W is a subset of the vector space V. W contains the zero vector.Which shows that the W must be within the subspace of V.
Thus, the set W is the subspace of V is true statement.
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A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the percentages are normally distributed. What type of test is this hypothesis test?
Answer:
A paired sample t-test
Step-by-step explanation:
A paired sample t-test is most of the time used when in determining the difference between two related dependent variables and in this context; we have
approval ratings before the senator's decision variables and
approval rating after the senator's decision variables for the same subject
These revolves around the senator's decision causing a decrease in approval ratings. Often the two variables are separated by time.
It is used to determine whether the mean of the dependent variable (approval ratings) is the same in the two related groups (the before and after decision groups).
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Enter the correct answer in the box.
Simplify the expression x^5•x^7
Answer:
\(x^{7}\)
Step-by-step explanation:
When multiplying exponents, you add them together.
x^12
Step-by-step explanation:
x^5*x^7
x^5+7
=x^12
Kim ran a 26-mile marathon. She ran 0.143 of the marathon during the first hour. How many miles did Kim run during the first hour?
Answer: 3.718 miles
Just simply take 26x0.143
With a calculator you'll find thats it is 3.718
What is another expression to write 5a+5b+5c+5d
Answer:
5(a+b+c+d)?
Step-by-step explanation:
Answer:
5 (a + b + c + d)
Step-by-step explanation:
This is because 5 (a + b + c + d) = 5a + 5b + 5c + 5d, when you use the distributive property.
"To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together."
- What is Distributive Property? - Definition, Facts & Example
I made sure to give credit to the explanation source that I used. Hope this helps!!
Plz help 10 pts
X=
4
6
12
Answer:
x = 12
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
3*x = 6^2
3x = 36
Divide each side by 3
3x/3 = 36/3
x = 12
3.
Find the indicated Matrix, if possible. Show and explain your work.
3A +B
a={5,2}
b={7 1}
{5 0}
The matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.
What is the matrix in math?When we add two matrices, we add the equivalent elements, that is, the elements at the same position in each matrix, hence for the addition of matrices they should have the same dimensions.
The matrices are given by:
3a: 3[5 2]' = [15 6].
b = [7 1;5 0].
With the ; indicating a new line, hence they have different dimensions(A 2 x 1 and B 2 x 2), so the matrix 3A + B cannot be defined.
Therefore, the matrix 3A + B cannot be defined, as 3A and B have different dimensions, hence they cannot be added.
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A map’s scale shows that 1 cm represents 30 miles. Jeanne measured the distance from Columbus to Midway on the map as 3.3 cm. What is the actual distance from Columbus to Midway? A) 33 miles B) 66 miles C) 90 miles D) 99 miles
The actual distance from Columbus to Midway is,
⇒ 99 miles
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. And, Multiplication can be viewed as a process of repeated addition.
We have to given that;
A map scale shows that, 1 cm = 30 miles.
And, Jeanne measured the distance from Columbus to Midway on the map as 3.3 cm.
Now, We get;
1 cm = 30 miles
3.3 cm = 3.3 x 30 miles
= 99 miles
Thus, The actual distance from Columbus to Midway would be,
⇒ 99 miles
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caculate ( 5 + 0.036 + 0.4 ) - 0.08 = ?
ASAP I WILL GIVE BRAINLIEST
Answer:
5.356
Step-by-step explanation:
You add everything in parentheses then subtract that by 0.08.
Which of the following expressions have a result of zero? Select all that apply.
-11 + 11
0 ∙ (-7)
-8 - (-8)
Answer:
All of them
Step-by-step explanation:
What is the product of the expression below?
4/7
×
5/8
What is the y-intercept of the function, represented by the table of values
below?
6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
Somebody help me please I’m giving brainliest!
Answer:
98º
Step-by-step explanation:
5 subtract from 9 as an expression
The statement "5 subtract from 9" as an expression is 9 - 5
How to represent the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement
The mathematical statement is given as
5 subtract from 9
Subtraction means minus
So, we have the following representation
5 subtract from 9 = 9 - 5
The question does not require that we solve the expression
So, we leave it at 9 - 5
Hence, the required expression is 9- 5
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Myra incorrectly factors 15 a-20ab as 5a( 3-4ab).
Factor the expression correctly.
15a - 20ab
Here, '5' & 'a' are the common factors. So factor them out.
=》15a - 20ab
=》5a (3 - 4b)
Myra incorrectly put 'a' inside the bracket which is wrong because 'a' is a common factor too along with 5.
_____
RainbowSalt2222 ☔
People I need help plz
Answer:
14. 12x + 2y
16. -2x - 4y
18. -8x + 10y
Step-by-step explanation:
Don't stress it.All you need to do is add the x's with the x's and add the y's with the y's.
The same applies with subtraction.
Note:
positive + positive = positive
negative - negative = negative
__________________________________________________________
Answer:
14: 12x+2y; 16:do not know; 18:10y-8x
16:
7x-2y
5x+4y
_____
12x+2y
18:
8y-7x
+2y-x
10y-8x
Rajeev walked 7/8 mile in 1/4 hour. what was his speed in miles per hour?
Answer:
V(speed)=3.5 mile per hour
Step-by-step explanation:
\(V=mile per hour\)
\(V=\frac{7}{8}/ \frac{1}{4}\)
\(V=\frac{7}{8}*\frac{4}{1}\)
\(V=\frac{7}{8}*4\)
\(V=3.5\)
Two fractions between 2 and 2 1/2
Answer:
2 2/5 and 2 2/100
Step-by-step explanation:
The answers range in many ways! Whatever floats your boat to pick!
Hope this helped! :)
1x10,000 + 6x1,000 + 3x100+ 7x10 + 8x 1/10 + 9/100 in a standed form
a- 163,789
b- 163,700.89
c- 16,378.9
d- 1,637.89
e- 16,370.89
Answer:
C
Step-by-step explanation:
because write in standard form hope it helps to you
-2y-5(6z-4y)-3z can anyone help me
Answer:
18y - 33z
Step-by-step explanation:
-2y-5(6z-4y)-3z
-2y-30z+20y-3z
-2y + 20y + -30z - 3z
18y - 33z
(Secx+1)/tanx - Sinx/1-cosx
Note that it is true to state that the expression (sec(x)+1)/tan(x) = (sin(x))/(1-cos(x)) is true for any known value of x except where cos(x) = 1 and x is an odd multiple of pi/2.
What is the rationale for the above response?We can start by manipulating the left-hand side of the equation using the trigonometric identities for secant, tangent, and Pythagorean identity for sine and cosine:
(sec(x) + 1) / tan(x)
= (1/cos(x) + 1) / (sin(x)/cos(x))
= ((1 + cos(x))/cos(x)) / (sin(x)/cos(x))
= (1 + cos(x)) / sin(x)
= [(1 + cos(x)) / sin(x)] * [(1 - cos(x)) / (1 - cos(x))]
= [(1 + cos(x)) * (1 - cos(x))] / [sin(x) * (1 - cos(x))]
= sin(x) / (1 - cos(x))
Therefore, we have shown that:
(sec(x) + 1) / tan(x) = sin(x) / (1 - cos(x))
Hence, the equation is true for any value of x, except where cos(x) = 1 and x is an odd multiple of pi/2.
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Full Question:
Note that the question seems incomplete. Thus, the rationale requirement here is to determine that the left side and the right side of the expression below are trully equal.
(sec(x)+1)/tan(x) = (sin(x))/(1-cos(x))
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that \(\mu = 8, \sigma = 1.1\)
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
\(n = 5\) means that \(s = \frac{1.1}{\sqrt{5}} = 0.4919\)
This probability is the pvalue of Z when X = 9.3. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{9.3 - 8}{0.4919}\)
\(Z = 2.64\)
\(Z = 2.64\) has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
\(n = 6\) means that \(s = \frac{1.1}{\sqrt{6}} = 0.4491\)
This probability is 1 subtracted by the pvalue of Z when X = 9. So
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{9 - 8}{0.4491}\)
\(Z = 2.23\)
\(Z = 2.23\) has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Evaluate the expression.
10+83÷16
Which expression is equivalent to 8x - 12y + 32?
A. 16(0.5x - 4y + 32)
B. 16(0.5x - 0.75y + 2)
C. 16(0.5x - 0.75 + 32)
D. 16(0.5x + 4y +2
Answer: B
Step-by-step explanation:
It’s the only one that makes sense.
PLEASE HELP ME I HAVE BEEN STRUGGLING FOR THE PAST HOUR CORRECT ANSWER WILL BE MARKED BRAINLEST
Answer:
I need the question
Step-by-step explanation:
Can i have brainliest anyways? I need one more :)
Answer:
whats the question
Step-by-step explanation: or sir
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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