Answer:
2000
Step-by-step explanation:
440 customers are 22% of total meaning there is 78% left.
440*100=44,000 44,000/22=2,000
Which expressions are equivalent to the given expression?
√80
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}=\sqrt{16*5} =\sqrt{16}*\sqrt{5}=4\sqrt{5}[/tex]
Alaska is the largest state in the united states and has a surface area of approximately 588,000 square miles. Indiana has a surface area that is approximately 6% of the surface area of Alaska. what is the approximate surface area of Indiana?
Answer:
Below in bold.
Step-by-step explanation:
588000 is close to 600000
6% of this = 600000 * 0.06
= 36,000 sq. miles.
Answer:
35,280 square miles
Step-by-step explanation:
Find the product: (6x^2+8)(3x^2-5x+7)
Answer:
18x⁴ - 30x³ + 66x² - 40x + 56
Step-by-step explanation:
1) Distribute
(6x² + 8) (3x² - 5x + 7)6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)2) Distribute
6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)3) Distribute
18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)18x⁴ - 30x³ + 42x² + 24x² - 40x + 564) Combine like terms
18x⁴ - 30x³ + 42x² + 24x² - 40x + 5618x⁴ - 30x³ + 66x² - 40x + 56Vocabulary:Expression
A mathematical symbol, or combination of symbols, representing a value, or relation.Example: 2 + 2 = 4
Combination
A selection in which order has no importanceAnswer:
The product would be 18x^4 - 30x^3 + 66x^2 - 40x + 56
Step-by-step explanation:
WSP CAN SOMEONE ACTUALLY HELP N EXPLAIN IM LOST
Answer:
Option A
Step-by-step explanation:
Given expression:
3x² - 10x - 8Option A
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
Option B
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
Option C
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
Option D
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
Answer:
Hi! Let's find which expression is equivalent to [tex]3x^{2} - 10x - 8[/tex]. First, remember that expressions are equivalent when they have identical solutions or roots. That means we have to do three things:
- solve [tex]3x^{2} - 10x - 8[/tex]
- review the listed expressions
- determine which solution is equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex]
First, let's solve [tex]3x^{2} - 10x - 8[/tex].
Use the sum-product pattern -
3x^2 - 10x - 8
3x^2 + 2x - 12x - 8
Common factor from the two pairs -
3x^2 + 2x - 12x - 8
x(3x + 2) - 4(3x + 2)
Rewrite in factored form -
x(3x + 2) - 4(3x + 2)
(x - 4)(3x + 2)
Now, let's review the listed expressions. We have:
A. (x - 4)(3x + 2)
B. (3x - 4)(x - 2)
C. (3x - 4)(x + 2)
D. (3x - 2)(x + 4)
We're looking for one of these expressions to be equivalent to the solution of [tex]3x^{2} - 10x - 8[/tex], which we know is (x - 4)(3x + 2). The first choice, A. (x - 4)(3x + 2), would be our answer!
I hope this helps you. Have a wonderful day and let me know if I can help you with anything else! =)
The function s(t), given below, models the height of the ball in feet, t seconds after it has been thrown. What is the time at which the ball reaches its maximum height? s(t) = -16t² + 32t +8
A) 0.5 sec B) 1.0 sec C) 1.5 sec D) 2.0 sec
Please help, will give brainliest when I have the time! Thank you!!!
Answer:
110 pages
Step-by-step explanation:
Let number of pages read on 1st day = x
-> No. of pages read on 2nd day = 2x
& No. of pages read on 3rd day = x - 6
Total no of pages read = 458
-> x + 2x + x - 6 = 458
-> 4x - 6 = 458
-> 4x = 458 + 6
-> 4x = 464
-> x = 464/4
-> x = 116
No of pages read on third day = x - 6 = 116 - 6 = 110
The area of the rectangle shown below is 36 square units. Set up and
solve an equation to find the value of x. *
2.5x + 1.5
4
The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
What is the area of a rectangle?The area of a rectangle is the product of its length and breadth. It is given by the formula,
Area of rectangle = Length × width
Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,
[tex](2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3[/tex]
Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
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nsurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table. A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders. A survey participant is randomly selected. Let E be the event that the participant’s first motor vehicle had eight cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(E or T)? 0.03 0.14 0.17 0.28
Answer:
B. 0.14
Step-by-step explanation:
Just add the values in the eight row and truck coloum and divide by 200.
Loren solved the equation 10 = startfraction 19 over 9 endfraction (149) b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). what error did loren make? she should have solved 10 = startfraction 9 over 19 endfraction (149) b for b. she should have solved 1 = startfraction 19 over 9 endfraction (130) b for b. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b. she should have solved 130 = startfraction 9 over 19 endfraction (1) b for b.
The error which Loren made was C. she should have solved 149 = startfraction 19 over 9 endfraction (10) b for b.
What is an Error?This refers to those miscalculations or misjudgments about a situation or a mathematical solution to give wrong values.
Hence, because Loren is solving an equation of 0 = startfraction 19 over 9 endfraction (149) b for b to find the equation of a trend line that passes through the points (1, 130) and (10, 149), the error she made was option C.
This means that using point (10,149) which takes the form (x,y) the equation will be: 149=19/9(10)+b
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Answer:
C
Step-by-step explanation:
Simplify.
Simplify.
62+42
pls help
Answer:
104
Step-by-step explanation:
Simple addition:
Add the units place first:
2+2 = 4
Now add the tens together:
60+40= 100
Now add the 2 numbers together to give you 104.
Shay walks to softball practice. She leaves her home and walks 6 blocks north. She then turns east and walks 4 more blocks to the field. How far is the softball field from Shay’s home? Pythagorean Theorem
Answer:
7
Step-by-step explanation:
(a squared) plus (b squared) equals (c squared)
(6 squared) plus (4 squared) equals (c squared)
36+16=c squared
c equals 7
Answer:
7.21 blks
Step-by-step explanation:
Pythag theorem
a^2 + b^2 = c^2
6^2 + 4^2 = c^2
52 = c^2
c = sqrt 52 = 7.21 blcks
Find the value of x
x =
Classify the triangle :
acute isosceles triangle
acute isosceles triangle
acute scalene triangle
acute scalene triangle
obtuse isosceles triangle
obtuse isosceles triangle
obtuse scalene triangle
obtuse scalene triangle
right isosceles triangle
right isosceles triangle
right scalene triangle
right scalene triangle
equiangular equilateral triangle
Find the mean median mode and range for the following data 77 60 59 70 89 95
Answer:
Mean = 75
Median = 73.5
Mode = 95
Range = 36
Step-by-step explanation:
Given:
77,60,59,70,89,95Sort:
59,60,70,77,89,95To find:
MeanMedianModeRangeMean:
[tex]\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}[/tex]
Sum of all data divides by amount.
[tex]\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}[/tex]
Therefore, mean = 75
Median:
If it’s exact middle then that’s the median. However, if two data or values happen to be in middle:
[tex]\displaystyle \large{\dfrac{x_1+x_2}{2}}[/tex]
From 59,60,70,77,89,95, since 70 and 77 are in middle:
[tex]\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}[/tex]
Therefore, median = 73.5
Mode:
The highest value or/and the highest amount of data. Mode can have more than one.
From sorted data, there are no repetitive data nor same data. Consider the highest value:
Therefore, mode = 95
Range:
[tex]\displaystyle \large{x_{max}-x_{min}}[/tex] or highest value - lowest value
Thus:
[tex]\displaystyle \large{95-59 = 36}[/tex]
Therefore, range = 36
a 500g packet of beans costs £1,14 and a 125g packet of the same beans costs £0,28 so packet is better value for money? show how you decide.
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
To find :-
More valuable packet of beans
Given :-
500g packet of beans = £114
125g packet of beans = £28
Solution :-
We will find out value of 100g of beans of each packet, then we will compare the value, the less will be the value, the more valuable packet is it.
Packet 1
500g of beans = £114
100g of beans
[tex] = \frac{114}{500} \times 100 \\ = \frac{114}{5} \\ = 22.8[/tex]
The 100g beans of packet 1 will cost £22.8.
Packet 2
125 g of beans = £28
100g of beans
[tex] = \frac{28}{125} \times 100 \\ = \frac{28}{5} \times 4 \\ = 5.6 \times 4 \\ = 22.4[/tex]
The 100g beans of packet 2 will cost £22.4.
Result :-
The packet 2, 125g for £28 is more valuable than packet 1, 500g for £114.
Answer:
the 125 gm packet
Step-by-step explanation:
Find the unit rate of each
1.14 /500 g = .00228 per gram
.28/128 g = .0021875 per gram <=====this is the better value (costs less per gram)
(3.6 × 10-5) ÷ (1.8 × 103)
Give your answer in standard form.
A balloon containing 0.40 mol of a gas with a volume of 5.0 l was deflated to 1.0 l. which equation should you use to find the final number of moles of gas in the balloon after the deflation? v subscript 2 equals startfraction v subscript 1 n subscript 2 over n subscript 1 endfraction. n subscript 2 equals startfraction v subscript 2 n subscript 1 over v subscript 1 endfraction. n subscript 2 equals startfraction v subscript 1 n subscript 1 over v subscript 2 endfraction.
The equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2
Molarity of a solutionThe molarity of a solution is the ratio of the mole of the substance to its volume
Since the mole "n" is directy proportional to the volume, hence;
n = kv
k = n/v
Hence the equation he should you use to find the final number of moles of gas in the balloon after the deflation is n1/v1 = n2/v2
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Answer:
answer in picture
Step-by-step explanation:
A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 15 bacteria. How many bacteria will be in the sample after 18 hours? Round your answer down to the nearest whole number
Answer:
16
Step-by-step explanation:
6 percent of 15= 0.9
0.9*18≈16
Look at image! Please help Thank You!
Answer:
720
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
6! = 6*5*4*3*2*1 = 720
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to
have enough space inside so they can also be used to store props.
0.2 m
0.3 m
0.15 m
0.5 m
0.4 m
How much space is inside the steps?
The space inside the steps will be 0.04 cubic meter
What is volume?The space in a three dimensional region occupied by any body is called as volume.
Assume the steps have the dimensions shown in the diagram below.
We can decompose them into two rectangular prisms.
The lower prism has the dimensions 20 in × 16 in × 6 in.
The upper prism has the dimensions 20 in × 8 in × 6 in.
1. Volume of lower prism
V = lwh = 20 in × 16 in × 6 in = 1920 in³
2. Volume of upper prism
V = lwh = 20 in × 8 in × 6 in = 960 in³
3. Volume of steps
V = 1920 in³ + 960 in³ = 2880 in³
Or the volume in meter will be 2880 cubic inches = 0.04 cubic meters.
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Decide whether the statement is sometimes true, always true, or never true.
Use 1-2 sentence to explain your reasoning.
"The slope of the linear regression line can be calculated using any two points in the data."
The statement "The slope of the linear regression line can be calculated using any two points in the data." is always true for any two points.
What is regression line?Linear regression shows the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.
A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
Firstly, as per difinition the equation of linear regression line is
y= a + bx, where b is the slope of the line and a is intercept .
The formula to calculate the slope of the line be,
[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2}) - (\sum x)^2 }[/tex]
here n represent the number of data given in a question, x and y are the two points.
If we look at the formula with point x and y the slope can't be calculated.
Also, the equation of linear regression line , y= a+ bx also contain two points (x, y).
As per the discussion it is not possible to calculate the slope of linear regression line without two points.
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In this box-and-whisker plot, what is the maximum value of the data?
OPTIONS :
53
56
60
68
Answer:
68
Step-by-step explanation:
As the date in the box plot ends at 68. it is the maximum value
Can someone give me the right answer for this please? I'm so confused
Answer:
JK = 18
Step-by-step explanation:
LK = x - 1
KJ = x + 11
LJ = LK + KJ = x - 1 + x + 11
-> LJ = 2x + 10
LM = 12
By tangent secant segment theorem:
[tex]LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}[/tex]
Hope it helps you in your learning process.
Have a great day ahead.
I dont understand this question at all, please answer w/ explanation if you can
Answer:
The answer is C.
Step-by-step explanation:
3.844 X 10 w/ power of 5= 384400
2 X 10 w/ power of 3= 2000
2000 x 384400= 768800000
7.688 x 10 w/ power of 5 = 768800
Answer:
Jupiter to Sun = 7.688 * 10⁸km
Jupiter to Sun = 2 * 10³ times Earth to Moon
Substitute 3.844 * 10⁵km for Earth to Moon
Jupiter to Sun = 2 * 10³ * 3.844 * 10⁵km
Jupiter to Sun = 2 * 3.844 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10³ * 10⁵km
Jupiter to Sun = 7.688 * 10⁸km
Therefore, the answer would be C. 7.688 * 10⁸km
HURRRYYY PLEASEE
determine the volume of the pyramids below
Step-by-step explanation:
Volume = 1/3 × (10×8) × 6
= 160 in³
Simplify this expression 9Y+z
Answer:Nothing further can be done with this topic. Please check the expression.
Step-by-step explanation:
3(8) - 15 /12x19-2x7 what is it
Answer:
-13.75
Step-by-step explanation:
please help me, thanks if you do
Answer:
Question 3:
f(3) = (3,-8) this is because -2*-2=4*-2=-8.
Questions 4:
D. (1,7)
can someone help with this here’s a pic of the problem
It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.
I'm assuming this is pertaining to similar polygons.
The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125
What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11
Square this linear scale factor to get the area scale factor
(1/8)^2 = (0.125)^2 = 0.015625
This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get
4928*0.015625 = 77
This is how your teacher got 77 as the final answer for figure B.
------------------------------------------------------
Admittedly this concept is a bit confusing at first.
Let's do another example.
Consider a 2 by 3 rectangle of area 2*3 = 6 square units.
Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.
Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.
new area = (area scale factor)*(old area)
new area = 16*(old area)
new area = 16*6
new area = 96
This shows that 16 is the area scale factor.
Please Help! Math! Look at picture!
Answer:
A' = (-4, -2.5)
B' = (1.5, 2.5)
C' = (-1, 5)
Step-by-step explanation:
Dilation using the origin as a center means that we multiply each coordinate by 0.5:
[tex]A = (-8, -5)\\ \\B = (3, 5)\\ \\C = (-2, 10)[/tex]
[tex]A' = (-4, -2.5)\\ \\B' = (1.5, 2.5)\\ \\C' = (-1, 5)[/tex]
what does (d+3) represent in 4.5(d+3)=45
Answer:
(d + 3) would be 10
Step-by-step explanation:
Step 1: Distribute
[tex]4.5(d + 3) = 45[/tex]
[tex](4.5 * d) + (4.5 * 3) = 45[/tex]
[tex]4.5d + 13.5 = 45[/tex]
Step 2: Subtract 13.5 from both sides
[tex]4.5d + 13.5 - 13.5 = 45 - 13.5[/tex]
[tex]4.5d = 31.5[/tex]
Step 3: Divide both sides by 4.5
[tex]\frac{4.5d}{4.5} = \frac{31.5}{4.5}[/tex]
[tex]d = 7[/tex]
Step 4: Determine what (d+3) is
[tex](d + 3)[/tex]
[tex](7 + 3)[/tex]
[tex]10[/tex]
Answer: (d + 3) would be 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{4.5(d + 3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5(d) + 4.5(3) = 45}}\\\\\large\boxed{\mathsf{\rightarrow 4.5d + 13.5 = 45}}\\\\\large\boxed{\textbf{SUBTRACT 13.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{4.5d + 13.5 - 13.5 = 45 - 13.5}}\\\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{4.5d = 45 - 13.5}}\\\\\large\boxed{\mathsf{4.5d = 31.5}}\\\\\large\boxed{\textbf{DIVIDE 4.5 to BOTH SIDES}}\\\\\large\boxed{\mathsf{\dfrac{4.5d}{4.5}= \dfrac{31.5}{4.5}}}[/tex]
[tex]\large\boxed{\large\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{d = \dfrac{31.5}{4.5}}}\\\\\\\large\boxed{\mathsf{d = 7}}\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{d = 7}}}}\huge\checkmark[/tex]
[tex]\mathsf{(d + 3)}\\\mathsf{= \bold{7} + 3}\\\mathsf{= 10}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]