Answer:
He can print 62 documents
Step-by-step explanation:
500/8=62.5
He can print only 62 documents because he cannot print half a document.
Hope this helps!
If not, I am sorry.
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four
If the team can only send four divers to a competition. Then the number of the ways will be 330.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
There are eleven divers on a swim team. If the team can only send four divers to a competition.
Then the number of the ways will be
Number of ways = ¹¹C₄
Number of ways = 11! / [(11 - 4)! x 4!]
Number of ways = 330
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Find the value of y in the solution to the system of equations shown.
y = 4x - 28
y = 1.5x - 18
Answer: y = -12
Equation's:
y = 4x - 28y = 1.5x - 18Solve them simultaneously:
4x - 28 = 1.5x - 18
4x - 1.5x = -18 + 28
2.5x = 10
x = 10/2.5 = 4
Now find the value of y:
y = 4x - 28
insert x = 4
y = 4(4) - 28
y = 16 - 28 = -12
Answer:
[tex]y=-12[/tex]
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y = 4x - 28\\y = 1.5x - 18\end{cases}[/tex]
Use the method of substitution to solve for x:
[tex]\begin{aligned}y & = y\\\implies 4x-28 & = 1.5x - 18\\4x-1.5x & = -18+28\\2.5x & = 10\\x & = 10 \div 2.5\\x & = 4\end{aligned}[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\begin{aligned} y & = 4x-28\\\implies y & =4(4)-28\\y & = 16-28\\y & = -12\end{aligned}[/tex]
What is the area of the triangle below?
On a coordinate plane, a triangle has a base of 6 units and a height of 9 units.
27 square units
45 square units
54 square units
90 square units
Answer:
27 units
Step-by-step explanation:
6 (base) × 9 (height) = 54
54 × 1/2 = 27
Which exponential function has a growth factor of 5?
o f(x) = 2(54)
An example of a exponential function with growth rate of 5 is given as y = 2(5)^4
Exponential functionsThese are functions that increases geometrically. The standard exponential function is given as;
y = ab^x
where
a is the base valuex is the exponentb determine the growth or decayAn example of a exponential function with growth rate of 5 is given as y = 2(5)^4
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Select the correct answer.
Simplify the expression.
1³/32r5y3
214/2ry³ 3
2x4 √4xy³
2rty 4ry³
413/21²y3
The simplification of the indices can be seen in the explanation below.
[tex]\mathbf{= \dfrac{1^3}{32r^5y^3}}[/tex]
What is the simplification of indices?The simplification of indices entails simplifying the indices to the simplest form possible by using the laws of indices.
From the information given, we have:
1.
[tex]\mathbf{= \dfrac{1^3}{32r^5y^3}}[/tex]
2.
[tex]\mathbf{= \dfrac{214}{2ry^3}}\\[/tex]
[tex]\mathbf{=\dfrac{ 107}{ry^3}}[/tex]
3.
= 2×4 √4xy³
= 8 √4xy³
= 8 × 2√xy³
= 16√xy³
4.
= 2rty 4ry³
= 2tr²y⁴
5
= 413/21²y³
= 413/441 y³
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Answer:
1.
2.
3.
= 2×4 √4xy³
= 8 √4xy³
= 8 × 2√xy³
= 16√xy³
4.
= 2rty 4ry³
= 2tr²y⁴
5
= 413/21²y³
= 413/441 y³
Step-by-step explanation:
What is the recursive formula for this geometric sequence?
6, -24, 96, -384, ...
Answer: a1=6
An = An-1 - 4
Step-by-step explanation:
N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.
What is one solution of the following system?
StartLayout Enlarged left-brace 1st row 2 y minus 2 x = 12 2nd row x squared + y squared = 36 EndLayout
Answer:
what environmental ethics
Find the product or type
"impossible"
The multiplication of the matrix [tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]will be [tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex].
What is the matrix?A matrix is a representation of the rectangular arrangement of numbers into rows and columns.
Matrix multiplication refers to the product of two matrices.
The condition of matrix multiplication is that the number of columns of the 1st matrix must equal the number of rows of the 2nd one.
The given matrix are
[tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]
The multiplication of the matrix will be
[tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex]
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write the first six terms of the sequence f(n)=n^3+2
Answer:
[tex]3,10,29,66,127,218[/tex]
Step-by-step explanation:
[tex]f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218[/tex]
what is the slope of 2/7x +5y=15
Answer:
-2/35
Step-by-step explanation:
Slope y-intercept form : y = mx + b
Here m is the slope and b is the y-intercept
Write the given equation in slope y-intercept form.
[tex]\sf \dfrac{2}{7}x + 5y = 15\\\\[/tex]
[tex]\sf 5y = \dfrac{-2}{7}x + 15\\\\ y =\dfrac{-2}{7*5}x + \dfrac{15}{5}\\\\ y = \dfrac{-2}{35}x + 3\\\\ \boxed{\bf Slope = \dfrac{-2}{35}}[/tex]
The table shows points that lie on the line.
Answer:
y = 5x + 2
Step-by-step explanation:
slope intercept form is y = mx+ b
the y- intercept is 0,2 so 2 is your b.
for m you do rise over run aka y/x. for every 5 rise up the x runs one so your slope(m) = 5
so y=5x+2
Simplify the square root of 5 times the cube root of 5.
Answer:
3.82362
rounded: 3.82
Step-by-step explanation:
The degree of the polynomial 10x² + 2xy-4y is 3. What is the value of m?
A.1
B.2
C.3
D. 4
If the degree of the polynomial is 3. Then the value of m will be 2. Then the correct option is B.
The complete question is attached below.
What is the degree of the polynomial?Let the polynomial is given below.
axⁿ + bxⁿ⁻¹ + .... + kx¹ + lx⁰
Then the highest power of the polynomial is known as the degree of the polynomial.
The polynomial is given as
[tex]\rm 10x^2 + 2x^my-4y[/tex]
The degree of the polynomial is 3. Then the value of m will be
m + 1 = 3
m = 2
Then the correct option is B.
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Question 4 of 10
What is the result of converting 20 ounces into pounds? Remember that 1
pound = 16 ounces.
Answer:
1 and 1/4 pounds
Step-by-step explanation:
3. The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year?
A. 12,000
B. 13,500
C. 16,200
D. 22,000
Help I want to learn how to solve this not just the answer please
Step-by-step explanation:
Cancel out the common factor 2
which of thse numbers 516090,221640,814550 are divisible byy 4
Using the graph, determine the coordinates of the y-intercept of the parabola.
Answer:
(0, -5)
Step-by-step explanation:
the y-intercept of the parabola is when x = 0 (crossing the y axis)
Need the anwser asap
Answer:
The third option.
Step-by-step explanation:
It is the third option because it is subtracting by 2 each time.
Hope this helps!
If not, I am sorry.
Answer:
388848y2
Step-by-step explanation:
yup yup
Suppose we take a survey and use the sample proportion to calculate a confidence interval. Which level of confidence gives the confidence interval with the largest margin of error
Answer:
See below
Step-by-step explanation:
I do not see any options, but it is important to note that the bigger the level of confidence, the larger the margin of error will be.
A function k whose domain is the set of positive integers is defined as k(1) = 4 and k(n) =
k(n - 1) - 2
Function k was evaluated for several numbers. Which of the following are true?
Select each correct answer.
k(2)=
k(1)-24-22Option C is true
k(3)
k(2)-22-20D is true
k(4)
k(3)-2=0-2=-2k(5)
-2-2-4k(6)
-4-2-6E is not true
k(1)
k(0)-2So
k(0)-2=4k(0)=6B is false
Similarly
k(-1)-2=k(0)=6k(-1)=8-1 is not in domain even though
A is false
Only C and D are trueAnswer:
[tex]k(2) = 2[/tex]
[tex]k(3) = 0[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}k(1)=4\\k(n)=k(n-1)-2\end{cases}[/tex]
The function [tex]k(n)[/tex] tells us that each term is 2 less than the preceding term.
Therefore:
[tex]\implies k(1)=4[/tex]
[tex]\implies k(2)=k(1)-2=4-2=2[/tex]
[tex]\implies k(3)=k(2)-2=2-2=0[/tex]
[tex]\implies k(4)=k(3)-2=0-2=-2[/tex]
[tex]\implies k(5)=k(4)-2=-2-2=-4[/tex]
[tex]\implies k(6)=k(5)-2=-4-2=-6[/tex]
Rearranging the formula to make the preceding term the subject:
[tex]\begin{aligned} k(n) & = k(n-1) - 2\\\implies k(n)+2 & = k(n-1)\\k(n-1) & =k(n)+2\end{aligned}[/tex]
Therefore:
[tex]\implies k(1)=4[/tex]
[tex]\implies k(0)=k(1)+2=4+2=6[/tex]
[tex]\implies k(-1)=k(0)+2=6+2=8[/tex]
Conclusion
Therefore, the correct answers from the answer options are:
[tex]k(2) = 2[/tex] and [tex]k(3) = 0[/tex]
only help if u know :D
The number of students in the school given the number of people that attended the dance is 128.
How many students are there?Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
Number of students = number of students at the dance / percentage that attended the dance
32 / 25%
32 / 0.25 = 128
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An isosceles right triangle has an area of 8cm^2. What is the length of its hypotenuse?
Answer:
Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.
Adam riese developed the signs + and - as mathematical operations what is the title of the work that introduced them?
The title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.
What are mathematical operations?In mathematics, an operation is a function that takes zero or more input values to a well-defined output value.
Adam Riese developed the signs + and - as mathematical operations and the title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.
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The ratio of ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
0) what are their ages now?
(1) after how many years (from now)
will the ratio be 5:6?
Ann and Bob's age is 21 years and 28 years respectively and after 14 years the ratio will be 5:6.
What is Ratio ?
The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.
It is given in the question that
The ratio of Ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
their ages now = ?
Let the age of Ann and Bob is x and y
x:y = 3:4
x =(3/4)y
After seven years
(x+7):(y+7) = 4 :5
(x+7)/(y+7) = 4/5
((3/4)y +7)/(y+7) = 4/5
(3y +28)/(y+7) = 16/5
5*(3y+28)= 16(y+7)
15y +140 = 16y+112
y = 140-112
y =28 years
x = 21 years.
After x years suppose the ratio is 5 :6
(21+x)/(28+x) = 5:6
126 +6x = 140 + 5x
x = 14 years.
Therefore after 14 years the ratio will be 5:6.
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y varies inversely as x. If y=4 when x=15, find y when x=12
The value of y given the inverse relationship is 5.
What is the value of y?If two variables vary inversely, as one variable increases, the other decreases in value.
The equation that is used to represent inverse relationship is:
y = k/x
Where k is the constant of proportionality
k = yx
k = 4 x 15 = 60
y = 60 / 12
y = 5
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Calculate 3.1 x 108 divided by 6.7 x 103 by using Scientific Notation and the product rule. Write your answer in Scientific Notation. Round to the nearest tenth.
After calculation the value is 4.62 * 10⁴ in Scientific Notation.
What are Scientific Notations ?It is a way of presenting very large and small number in simpler and more understandable form.
It is given that
Calculate 3.1 x 10⁸ divided by 6.7 x 10³
[tex]\rm \dfrac{3.1*10^8}{6.7*10^3}\\\\By \;the \;exponent\; theorem\\\\\dfrac{a^m}{a^n} = a ^{m-n}[/tex]
Therefore
0.462 * 10⁵
4.62 * 10⁴
Therefore the answer after calculation is 4.62 * 10⁴ .
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A rectangular piece of paper with length 32 cm and width 14 cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer
Answer:
Step-by-step explanation:
Find the x-intercept and y-intercept of the equation: 3x-y = -9
The x-intercept and y-intercept of the equation: 3x - y = -9 is -3 and 9 respectively.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have equation:
3x - y = -9
The above equation represents a linear equation;
The equation can be written as:
y = 3x + 9
To find the x-intercept plug y = 0
x = -3
To find the y-intercept plug x = 0
y = 9
Thus, the x-intercept and y-intercept of the equation: 3x - y = -9 is -3 and 9 respectively.
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