You have the following equation:
\(m^2-5m-1\)To evaluate the previous expression for m=6, just replace the value 6 where m is into the previous expression, then simplify, as follow:
\(\begin{gathered} (6)^2-5(6)-1 \\ =36-30-1 \\ =5 \end{gathered}\)Hence, the result is 5
On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. Assuming a binomial distribution, what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent
Answer:
Answer:
60
Step-by-step explanation:
Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
tabitha had 1/2 loaf a bread if she slices the bread into 9 equal pieces what fraction of the total of bread
Answer:
1/18
Step-by-step explanation:
1/2 divided by 9 = 1/2 * 1/9 = 1/18
The functions and g are defined as follows.
g(x)=4x²-x
f(x)=-5x+2
Find f (6) and g (-2).
Simplify your answers as much as possible.
ƒ(6) = [
8 (-2) = 0
믐
X
Answer:
\(f(6)=-28\\g(-2)=14\)
Step-by-step explanation:
The given question basically follows simply replacing the value of \(x\) with the given value. \(f(6)\) means we have to replace the value of \(x\) in the given equation \(f(x)=-5x+2\), which will give us \(-5\)×\(6+2\) which will give us \(-28\).
The same goes for \(g(-2)\). Replace the value of \(x\) with \(-2\) in the given equation \(g(x)=4x^{2} -x\) which will give us \(14\).
I hope this answer helps.
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Linda wants to save $900 to buy a TV. She saves $18 each week. The amount, A (in dollars), that she still needs after w weeks is given by the following function. If Linda still needs $576 , how many weeks has she been saving? How much money does Linda still need after 7 weeks?
A) first multiply 18 x 7 = 116, then subtract 500 - 116 = 384, so the answer is 384
B) first divide 384 from 18 which should give you 18, so the answer is 18
It’s worth 13 points thank you!
:)
Answer: the answer is the 3rd bubble:)
Step-by-step explanation:
. Write each expression using exponents: 2 * 2 * m* m
Hi!
For this problem, we can use exponents of 2, meaning squared. A number squared is just a number times itself, and in this problem, we can see the numbers are being multiplied by themselves.
Therefore, it can be written like:
\(2^2m^2\) OR \(2^2 * m^2\)
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What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
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The mean of this set of data (23,13,17,11,11)
Answer:
The mean is 15
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
(23+13+17+11+11)/ 5
75 /5
15
Which of the following equations is of a line that is parallel to y = 3x + 2? *
Answer:
I don't see any answer choices, but read my explanation
Step-by-step explanation:
Any line with a slope of 3 would be parallel to y=3x+2.
For example,
y=3x+4
y=3x-1
y=3x
All of these lines are parallel to the original equation
2. What is the surface area of the rectangular prism? (1 point)
5 mm
4 mm
21.5 mm
O480 mm
0427 mm
213.5 mm2
255 mm2
Please help thank uuuuu
Answer:
12
Step-by-step explanation:
You simply add the coefficients together.
3 + 4 + 5 = 12
Plz help I need help
Answer:
The answer is most likely -1 31/33
I have a hard time with fractions so I usually just go into my calculator and change it to a decimal. For example with -5 1/3 I would insert 1/3 into my calculator to change it to a decimal and then simply tack on the -5 to it. So in decimal form 1/3 is 0.333... so with the -5 added on its -5.333... Do the same for the other number and then divide. You will get -1.9393... all you have to do is go into your calculator and try out 11/12 or 31/33 to see which equals 0.9393... because those are the only options with a -1. In this case 31/33 equals 0.9393 s -1 31/33 is the answer
Can you help me with this guys
Answer:
...
Step-by-step explanation:...
vt7f5t
Answer:
see explanation
Step-by-step explanation:
given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then
the x- coordinate of the vertex is
\(x_{vertex}\) = - \(\frac{b}{2a}\)
(a)
f(x) = 2x² +16x + 35 ← is in standard form
with a = 2 , b = 16 , then
\(x_{vertex}\) = - \(\frac{16}{2(2)}\) = - \(\frac{16}{4}\) = - 4
substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = 2(- 4)² + 16(- 4) + 35 = 2(16) - 64 + 35 = 32 - 29 = 3
vertex of function 1 is (- 4, 3 )
(b)
from the graph the vertex ( turning point ) is (- 2, 4 )
vertex of function 2 is (- 2, 4 )
(c)
the minimum value of the functions is the value of the y- coordinate of the vertex.
minimum value of function 1 is 3
minimum value of function 2 is 4
then function 1 has the smaller minimum value
In how many ways can the letter of word number taken two at a time
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
Answer:
15
Step-by-step explanation:
There are 6 letters in the word number
This is 6 choose 2
This is a combination
The formula is 6! / ( 2! * (6-2)! )
6! / 2! 4!
(6*5*4*3*2*1) / ( 2*1 * 4*3*2*1)
Canceling like factors
(6*5) / ( 2*1)
30/2
15
There are 15 possible ways to have 6 choose 2
Which of the following is the correct factorization 64x^3+8?
The correct factorization of the expression, \(64x^{3} +8\), is 4\((2x-1)^{2}\) (8x+2).
According to the question,
We have the following information:
\(64x^{3} +8\)
The factors of this expression can be found using identity because 64\(x^{3}\) is the whole cube of 4x and 8 is the cube of 2.
So, we have the following expression:
\((4x)^{3} + 2^{3}\)
Now, we can use the following identity to factor the given expression:
\(a^{3} +b^{3} = (a+b) (a^{2} -ab+b^{2} )\)
We have a = 8x and b = 2:
(8x+2) {\((4x)^{2}\)-16x+\(2^{2}\)}
(8x+2) (16\(x^{2}\)-16x+4)
Taking 4 as the common factor from the second bracket:
4(8x+2) (4\(x^{2}\)-4x+1)
Now, finding the factors of second bracket:
4(8x+2) (\(4x^{2}\)-2x-2x+1)
4(8x+2) {2x(2x-1)-1(2x-1)}
4(8x+2) (2x-1) (2x-1)
4\((2x-1)^{2}\) (8x+2)
Hence, the correct factorization of the expression, \(64x^{3} +8\), is 4\((2x-1)^{2}\) (8x+2).
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At a sale, coats were sold for $180 each. This price was 90% of a coat’s original price. How much did a coat originally cost?
Answer: 200
Step-by-step explanation:
In an ARITHMETIC sequence, the first term is 49 andthe comn on difference is 6. Find the 28th term.
Take into account the following formula for an arithmetiv sequence:
\(a_n=a_1+(n-1)d\)where:
a1: first term = 49
n: number of the term = 28
d: difference = 6
replace the previous values of the parameters into the formula for an:
\(a_{48}=49+(28-1)\cdot6=49+162=211\)Hence, the 28th term of the sequence is 211
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
A whole number rounded to the nearest thousand is 2,103,000. What is the least possible value for that number?
2,103,000 is a whole number that has been rounded to the nearest thousand.
Given that,
2,103,000 is a whole number that has been rounded to the nearest thousand.
We have to find what is that number's lowest possible value.
Whole numbers are a class of natural numbers that include the number 0. The letter W stands for the set of whole integers in mathematics, which are 0 through 9.
W = {0,1,2,3,4,…so on}
Take into consideration the following details to comprehend whole numbers better:
Whole numbers make up all natural numbers.
There are only full numbers when counting.
Whole numbers are zero and all positive integers.
Real numbers are all entire numbers.
Therefore, 2,103,000 is a whole number that has been rounded to the nearest thousand.
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what is 6 ÷ ⅓ 1/18 1/2 12 18
Answer:
18
Step-by-step explanation:
\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)
I AM GIVING + 20 POINTS !!!!! PLEASE ANSWER SOON!!!!! Which is NOT a good reason to perform step 1 in the solution shown? equation: 4x = 88 step 1: 4x/4 = 88/4 step 2: x = 22 a. divide by 4, because 4 is a factor of 88. b. dividing 4x by 4 isolates x on one side of the equation. c. dividing is the inverse of multiplying d. dividing both sides by 4 keeps the equation balanced
Answer:
c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.
Help! Look at the figure. If mzJ = 55, find m
90
35
70
55
The value of the required missing angle is;
m<JKM = 35°
How to find the missing angle of the triangle?We know from geometry that the sum of angles in a triangle sums up to 180 degrees.
Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.
We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.
Thus to find the angle m<JKM, we can write the name expression as;
m<JKM = 180 - (90 + 55)
m<JKM = 35°
Thus that's the value of the required missing angle.
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A rectangular garden is 15 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Find the area of the figure. 5 ft The area is square feet.
Check the picture below.
so we really have a trapezoid and a rectangle, let's get their area and sum them up.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel ~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ a=7\\ b=14 \end{cases}\implies A=\cfrac{5(7+14)}{2}\implies A=\cfrac{105}{2} \\\\\\ \stackrel{\textit{\large areas}}{\stackrel{trapezoid}{\cfrac{105}{2}}~~ +~~\stackrel{rectangle}{(12\cdot 14)}}\implies \cfrac{105}{2}+168\implies \cfrac{241}{2}\implies 120\frac{1}{2}\)
help me plzzzzzzzzxx
Answer:
34.25
Step-by-step explanation:
Answer:4.5 + 19.75 = 24.25
Step-by-step explanation:
Plug in 5 at the bottom fpr the answer because we know we don't have to add anything else to that. Now move to 7 and blank. Since its addition we knkw we have to make it to were we carry a number since we can't get 2 any other way. So 7+5 equals 12 so carry your one over. 9+4+1 equals 14 and then from there you carry the one over again. Since you know you already have one therw and you are trying to get two that blank space will be a one as well since 1+1 equals 2.
Evaluate 3x2 + 3x - 9, when x = 2
Answer:
9
Step-by-step explanation:
3x^2 + 3x - 9
Substitute x = 2 into the equation.
3(2)^2 + 3(2) - 9
3(4) + 6 - 9
12 + 6 - 9
18 - 9 =
9
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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