Answer:
116
Step-by-step explanation:
He at 2 per minute so multiply 58×2 and you get 166 he ate 116 hotdogs
Answer: it took him ~29 minutes if he stayed eating them at a consistent rate
Given f (x) = 17 minus x squared, what is the average rate of change in f(x) over the interval [1, 5]?
Answer:
The average rate of change of the function over the given interval is -6
Step-by-step explanation:
The function we want to find its average rate of change is;
F(x) = 17 - x^2
Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;
{F(b) - F(a)}/(b-a)
According to this question, a = 1 and b = 5
F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16
F(b) = F(5) = 17 - 5^2 = 17-25 = -8
So making the substitution; we have
(-8)-16/(5-1) = -24/4 = -6
Answer:
A: -6
Step-by-step explanation:
Use the data set to determine which statements are correct. Check all that apply. 115, 120, 118, 104, 109, 148, 135, 141, 139 The median is 120. The median is 109. There is an outlier. The lower quartile is 118. The lower quartile is 112. The upper quartile is 140. The upper quartile is 141. The interquartile range is 28.
Answer:
It's A,E,F,H
Step-by-step explanation:
Got it right on test
The median is 120, The lower quartile is 112 and The upper quartile is 140
and interquartile range is 28.
What is interquartile range?The difference between the third and first quartiles is referred to as the interquartile range. Quartiles are the parceled values that partition the entire series into 4 equivalent parts. There are then three quartiles. The lower quartile is represented by Q1, the second quartile is represented by Q2, and the third quartile is represented by Q3, which is the upper quartile. As a result, the difference between the upper and lower quartiles constitutes the interquartile range.
Given data
115, 120, 118, 104, 109, 148, 135, 141, 139
arrange series in ascending order,
104, 109, 115, 118, 120, 135, 139, 141, 148
the middle term of series is 120
median = 120
for lower Quartile Q₁ = (109 + 115)/2 = 112
for upper Quartile Q₃ = (139 + 141)/2 = 140
interquartile range = Q₃ - Q₁ = 140 - 112 = 28
Hence the median = 120, lower quartile = 112, upper quartile = 140 and
interquartile range = 28.
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Please help!!
Hercules ate 2/3 of a Hershey bar. Zeus ate 3/4 of the remaining Hershey bar. how much of the whole candy bar did Zeus eat?
Step-by-step explanation:
.75 or 3/4 is the answer
WILL MARK BRAINLEST IF I CAN WHOEVER AWNSERS FIRST What is the sign of the product (3)(−25)(7)(−24)?
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Positive because you have two negatives. (3)(-25) is a negative number, (7)(-24) is also a negative number. Negative * negative is positive.
First option is correct
Answer:
First one
Step-by-step explanation:
(3)(−25): product is negative (-75)
(7)(−24): product is negative (-168)
Multiply these values, which are negative, gives you a positive real number (12600) because two negatives gives you a positive
Find the area of a rectangle with a length of x + 4 and a width of x + 2
Plz show work
Answer: x + 2(x + 4) = x^2 + 8
Please give me Brainliest
If that answer is not right then the answer should be 8x^2
What is the difference of the polynomials?
(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)
–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5
Answer:
A - -6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
I just took the test
The difference of the polynomials given is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵
Given are two polynomials are :
(-2x³y² + 4x²y3³ - 3xy⁴) and (6x⁴y - 5x²y³ - y⁵)
We need to subtract the polynomials and find the difference.
(-2x³y² + 4x²y3³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
By multiplying the signs into the brackets
= -2x³y² + 4x²y3³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵
Grouping the like terms, we get
= -2x³y² + (4x²y3³ + 5x²y³) - 3xy⁴ - 6x⁴y + y⁵
= -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵
Therefore, the difference between the polynomials is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵
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What is the perimeter of the regular hexagon ?
3m
11/12-1/6q+5/6q-1/3
Combine like terms to create an equivalent expression.
Answer:
[tex]\frac{7}{12} + \frac{4}{6}q[/tex] or [tex]\frac{7}{12} + \frac{2}{3}q[/tex]
you can also flip the position the the fractions are in
[tex]\frac{4}{6}q + \frac{7}{12}[/tex] or [tex]\frac{2}{3}q + \frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3}[/tex]
first find the like terms
[tex]\frac{11}{12}- \frac{1}{3}[/tex]
↑
times it by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{12}[/tex] to make the subtraction easier.
[tex]\frac{11}{12}- \frac{4}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex]
now that they all have the same denominator,
subtract
[tex]\frac{11}{12}- \frac{4}{12}[/tex] = [tex]\frac{7}{12}[/tex]
and
[tex]\frac{5}{6} q} - \frac{1}{6} q[/tex] = [tex]\frac{4}{6} q[/tex]
add them together to get
[tex]\frac{7}{12} + \frac{4}{6}q[/tex]
you can simplify 4/6q to 2/3q
The solution of the expression [tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex] by combining like terms is [tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex].
Used the concept of an equation that states,
A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the expression is,
[tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex]
Now combine like terms in the equation and solve as
[tex]\dfrac{11}{12} - \dfrac{1}{6}q + \dfrac{5}{6}q - \dfrac{1}{3}[/tex]
[tex]\dfrac{11}{12} - \dfrac{1}{3}- \dfrac{1}{6}q + \dfrac{5}{6}q[/tex]
[tex]\dfrac{(11 - 4)}{12} + \dfrac{5}{6}q- \dfrac{1}{6}q[/tex]
[tex]\dfrac{(11 - 4)}{12} + \dfrac{(5 - 1)}{6}q[/tex]
[tex]\dfrac{(7)}{12} + \dfrac{(4)}{6}q[/tex]
[tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex]
Therefore, the solution is [tex]\dfrac{7}{12} + \dfrac{2}{2}q[/tex].
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Kay created a linear graph to track the height in inches, h, of a pepper plant over a number of weeks, x. The plant's height was 3 inches when purchased. Which statements are true?
A) The graph represents the function h(x) = 1.5x + 3
B) The graph represents the function h(x) = 2x + 3
C)Point (3,0) represents the plant's height when purchased.
D)The plant grows about 1.5 inches each week.
E)The plant grows about 2 inches each week.
Answer:
A) The graph represents the function h(x) = 1.5x + 3
D)The plant grows about 1.5 inches each week.
Step-by-step explanation:
The following statements are true -
The graph represents the function h(x) = 1.5x + 3The plant grows about 1.5 inches each week.What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Kay created a linear graph to track the height in inches [h] of a pepper plant over a number of weeks [x]. The plant's height was 3 inches when purchased.
Since the slope of the graph is 1.5 inches. We can write the equation of the graph as -
y = 1.5x + 3
This also shows, the plant grows about 1.5 inches each week.
Therefore, the following statements are true -
The graph represents the function h(x) = 1.5x + 3The plant grows about 1.5 inches each week.To solve more questions on straight lines, visit the link below-
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Use the box method to distribute and simplify (-3x-6)(-2x-2)
Answer:
6x²+18x+12
Step-by-step explanation:
(-3x-6)(-2x-2)
=-3x(-2x-2)-6(-2x-2)
=6x²+6x+12x+12
=6x²+18x+12
Solve 2 s 2x + 4 < 10 for x.
Answer:
C took the test
Step-by-step explanation:
HELP ME!!! PLEASEEE!!!
The length of a rectangle is six inches more than its width. If the per meter of the
rectangle is 24 inches, find its dimensions.
Answer:
6 and 12
Step-by-step explanation:
Length= 6+w
width =w
then..
2(6+w)=24
12+2w=24
collect the like terms
24-12=2w
w =6
width=6and length=12
point p (4,-3) is translated up 4 and left 5 what is the coordinate of p
What is 411,600,000 in scientific notation
Answer:
4.116 time 10 to the eighth power
Step-by-step explanation:
Divide 411,600,000 by 100000000
Answer: 4.116 x 10⁸
Step-by-step explanation:
move the decimal point to the left to create a new number from 1 up to 10: a=4.11600000
Count the number of times you moved the decimal point: b=8
=4.11600000\times 10⁸
Remove trailing zeroes: =4.116 x 10⁸
A hairdresser combined three bottles of shampoo into one bottle. The first bottle had 4.8 ounces of shampoo, the second bottle had 5.4 ounces, and the third bottle had 6.6 ounces. The hairdresser used 2/5 of the shampoo from the new bottle when she washed her hair. How many ounces of shampoo did she use? Describe two different ways to solve the problem.
Answer: 6.72 ounces
Step-by-step explanation:
4.8 + 5.4 + 6.6 = 16.8
16.8/5 = 3.36
3.36 = 1/5
3.36 x 2 = 6.72
6.72 ounces
Hopefully this helps you
pls mark brainlest
What’s the slope of the line ?(4.5), (02)
Answer:
3/4 or 0.75
Step-by-step explanation:
let abcd be a square piece of paper. A is folded into c and the b is folded into d. the area of the resulting figure is 9 square inches. Find the perimeter of square ABCD
A.9
B.16
C.18
D.24
E.36
Please help ! I need the answers to these ASAP
Answer:
16. 33° and 57°
17. 10x+20= mEBC
18. 92°
y=x-1 2x-3y=-1
y=6x-11 -2x-3y=7
y=-5x-17 -3x-3y=3
y=5x-7 -3x-2y=-12
Answer:
(4,3)
Step-by-step explanation:
y=x-1 2x-3y=-1
y=6x-11 -2x-3y=7
y=-5x-17 -3x-3y=3
y=5x-7 -3x-2y=-12
To solve a system of 2 variables, only 2 equations are required. Choose the first two equations containing the variables in the system.
y = x − 1 2 x − 3 y = − 1
Subtract x from both sides of the equation.
y − x = − 1 2 x − 3 y = − 1
Reorder the polynomial.
− x + y = − 1 2 x − 3 y = − 1
Multiply each equation by the value that makes the coefficients of x opposite.
( 2 ) ⋅ ( − x + y ) = ( 2 ) ( − 1 ) 2 x − 3 y = − 1
Simplify.
− 2 x + 2 y = − 2 2 x − 3 y = − 1
Add the two equations together to eliminate x from the system.
− 2 x + 2 y = − 2 + 2 x − 3 y = − 1 − y = − 3
Multiply each term in − y = − 3 by − 1
y = 3
Substitute the value found for y into one of the original equations, then solve for x .
x = 4
The solution to the independent system of equations can be represented as a point.
( 4 , 3 )
The result can be shown in multiple forms.
Point Form:
( 4 , 3 )
Equation Form:
x = 4 , y = 3
Hope This helps bro, good luck , and have a good day :)
how do i solve a function even or odd
Answer:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.
Step-by-step explanation:
⭐
A poll shows that 50% of students play sports
A random sample of 20 students showed that
70% of them play sports
A number generator was used to simulate 20
samples from a population in which 50% of
students play sports. The results are shown in
the dot plot
0
0.1 0.2 03 04 05 06 07 08 0.9
1
What is the chance of getting a sample
proportion of 70% or greater?
0
0.2
03
Answer:
The chance of getting a sample proportion of 70% or greater is 0.026.
Step-by-step explanation:
We are given that a poll shows that 50% of students play sports .
A random sample of 20 students showed that 70% of them play sports.
Let [tex]\hat p[/tex] = sample proportion of students who play sports
The z-score probability distribution for the sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of students who play sports = 70%
p = population proportion of students who play sports = 50%
n = sample of students = 20
Now, the chance of getting a sample proportion of 70% or greater is given by = P([tex]\hat p[/tex] [tex]\geq[/tex] 70%)
P([tex]\hat p[/tex] [tex]\geq[/tex] 70%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.70-0.50}{\sqrt{\frac{0.70(1-0.70)}{20} } }[/tex] ) = P(Z [tex]\geq[/tex] 1.95) = 1 - P(Z < 1.95)
= 1 - 0.97441 = 0.026
The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.
Hence, the chance of getting a sample proportion of 70% or greater is 0.026.
Find the product of 5/6( 1/2) *
O 6/8
O 5/12
O 5/6
Answer:
6/8
Step-by-step explanation:
yep 6/8
aaaaaaaaaaaaaaaaaaa
Distribute and simplify the expression: (6x - 4y + z)
-2(5x+8)=14+6x what are the steps
Answer:
-10x-16=14+6x
-16-14=6x+10x
-30=16x
x=-15/8
Find the values of a and b.
Answer:
a= 122, b=52
Step-by-step explanation:
Please see the attached picture for full solution.
"Three times a number divided by 5 is 33." What is the equation for this statement.
Answer:
3x / 5 = 33
Step-by-step explanation:
Let x be the number
3x / 5 = 33
Triangle abc is shown on the graph what are the coordinates of the image of point B after the triangle is rotated 270 about the origin?
Answer: (4,2)
Step-by-step explanation:
f(x) = 3x - 2
f(x) = 0, x=?
Answer:
2/3 =x
Step-by-step explanation:
f(x) = 3x - 2
Let f(x) =0
0 = 3x-2
Add 2 to each side
2 = 3x-2+2
2 =3x
Divide by 3
2/3 =3x/3
2/3 =x
Answer:
f(x)=3x-2
0=3x-2
2=3x
2/3=x
x=2/3
PLEASE HELP WILL GIVE BRAINLIEST!
Write the Equation and show work. Find 'x', 'AC' and 'BC'
an equation you could use: AB+BC= AC
Answer:
[tex]BC=12\\x=6\\AC=24[/tex]
Step-by-step explanation:
Lines AB and BC have two smaller lines in them, meaning that they are of the same length. Thus, BC is 12.
AB + BC = AC
Substitute in values:
[tex]12+12=4x[/tex]
Add the numbers and swap sides:
[tex]4x=24[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{24}{4}[/tex]
[tex]x=6[/tex]
AC is [tex]4x=4\times6=24[/tex]
In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction books are there
Answer:
For 130 non-fiction books, the number of fiction books can be from 270 to 278.
Step-by-step explanation:
Given that, there are 5 non-fiction books for every 9 fiction books.
Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.
So, there are 5 non-fiction books for every 9 to (9+8) fiction books
So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.
Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).
For, 150 non-fiction books, 5n=150 or n=150/5=30.
Hence, the number of fiction books can be from 9n to (9n+8).
=9x30 to (9x30+8)
=270 to 278.
Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.
