Answer:
2.8, 4.6, 7, 17
Step-by-step explanation:
Answer:2.8,4.6,7,17
Step-by-step explanation:So you see the decimal you find the smallest number that is a decimal and that is your least decimal. And then you find the next smallest number and keep going up to the biggest number on the least to greatest.
Simplify the answer -12 ÷ 3 × (-8 + (-4)² - 6) + 2 I need the steps for the equation on how to solve it.
Answer:
-6
Step-by-step explanation:
We use PEMDAS to solve this,
so P stands for parentheses, so that's where we start.
We first, square the innermost parentheses with the exponent which is the E in PEMDAS, then then the outer parentheses
-12/3*(-8+16-6)+2
-12/3*(2)+2
Now we divide as in Division in PEMDAS.
-4*2+2
Now we multiply as in Multiplication in PEMDAS.
-8+2
Now we add as in A for Addition
-6
In PEMDAS, Multiplication doesn't always come before division, and same for addition and subtraction.
Tavon has a $50 gift card that’s very loses $2 for each 30-day period it is not used. He has a $40 card that’s loses $1.50 for each 30-day period it is not used.
Answer:
Hello, thank you for your word problem. However, your word problem doesn't have a question to it. Please double check your answer. Thank you!
Step-by-step explanation:
HeLLLPPP PLEASE IM BEGGING YOU
Answer:
4.625
Step-by-step explanation:
5/8 = 0.625
To find 5/8, simply divide it.
So 4 and 5/8
= 4.625
What are the major arcs of o0 that contain point B?
Answer:
see below
Step-by-step explanation:
The four major arcs that include B will be the remainder of the circle after each minor arc is excluded.
Excluding minor arc AB, we have major arc BCA.
Excluding minor arc BC, we have major arc CDB.
Excluding minor arc CD, we have major arc DAC.
Excluding minor arc DA, we have major arc ABD.
HELP!!!!
Two airplanes leave the airport. Plane A departs at a 44' angle from the runway, and plane B departs at a 40' from the runway Which plane was farther away from
the airport when it was 6 miles from the ground? Round the solutions to the nearest hundredth
Plane A because it was 8.64 miles away
Plane A because it was 8.34 miles away
Plane B because it was 7.83 miles away
Plane B because it was 9.33 miles away
Question 4 Multiple Choice Worth 1 points)
(05.02 MC)
A triangle was dilated by a scale factor of 4. If tan a' =
and FD measures 12 units, how long is EF?
Question 3 (Not Answered). Om
Ned Question
Previous Question
Answer:
Step-by-step explanation:
Using the sine rule
Airplane A has
6 / sin 44 =
6 / 0.6947 =
8.64
Airplane B has.
6 / sin 40 =
6 / 0.6428 =
9.33
therefore, the answer is airplane B, because it was 9.33 miles away
(4x + 2y]³ -(4x-2y)³
Answer:
answer is attached
Which of the following choices will simplify
(2+6)/4
+ 12 x 3 + 1
A. 39
B. 40
C. 43
D. None of these choices are correct.
Answer:
A. 39
Step-by-step explanation:
( 2 + 6 ) / 4 + 12 × 3 + 1
first solve the bracket .
8 / 4 + 12 × 3 + 1
then do the division or multiplication.
2 + 36 + 1
finally do the addition or subtraction.
39
The order
{
1. B - Bracket
2. O - Or
3. D - Division
M - Multiplication
4. A - Addition
S - Subtraction }
What is the constant of proportionality (unit rate) for the following equation:a = 156 · n
Answer:
156
Step-by-step explanation:
n times the constant of proportionality = a
so n will always 156 times greater
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5 respectively . Taking the Initial cost of the electrical gadget to be GHÇp Calculate the value of p and q
Answer:
P=25 q= -31
Step-by-step explanati
The value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.
Make p the subject
p = 8q/6 ........equation 1
The year the price was reduced by 4
p - 4/q - 4 = 7/5
Cross multiplication;
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Subtract 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q - 42q = -48
-2q = -48
q = 24
Subtract 24 for q in equation 1
p = 8(24)/6
p = 192/6
p = 32
Therefore, the value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
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**50 Points Possible** I NEED URGENT HELP
please provide a graph
Answer:
See below.
Step-by-step explanation:
1)
For Ben's social media post, we are told that it was initially shared to only 2 people. However, each of those shares it with 3 people. In other words, Ben's post triples every day. This means that the rate of growth is 3. Thus, Ben's post as an exponential function is:
[tex]f(x)=2(3)^x[/tex]
The 2 represents the initial amount at day 0, and the 3 represents the rate at which the post grows each day.
2)
Similarly, Carter's post was originally sent to 10 people. However, each of the 10 shares it with two others. Therefore, it doubles each day. Thus, the rate is 2. So, Carter's exponential function is:
[tex]f(x)=10(2)^x[/tex]
The 10 represents the initial amount while the 2 represents the rate.
3)
I've use Desmos to graph the functions. Refer to the picture attached. Red is Amber, blue is Ben, and green is Carter.
4)
To find out the number of shares each student's post will receive on day 3 and day 10, simply plug the numbers into the functions. Therefore:
For Amber:
Day 3:
[tex]f(3)=3(4)^3=192[/tex]
Day 10:
[tex]f(10)=3(4)^{10}=3,145,728[/tex]
For Ben:
Day 3:
[tex]f(3)=2(3)^3=54[/tex]
Day 10:
[tex]f(10)=2(3)^{10}=118,098[/tex]
And for Carter:
Day 3:
[tex]f(3)=10(2)^3=80[/tex]
Day 10:
[tex]f(10)=10(2)^{10}=10,240[/tex]
5)
Amber's new graph of:
[tex]f(x)=3(4)^x+45[/tex]
will be a shifted version of her original graph. The new graph will be shifted upwards by 45 units. However, since the 45 is not affected by the x in any way, the change will be minuscule. For instance, her number of shares on day 10 of the old graph is 3,145,728. Even with the additional 45, it will just be: 3,145,773. With enough days, the additional number becomes trivial.
6)
On the 10th day, Amber's post was shared almost 3 million times, while Ben's was shared "only" 118,098 times and Carter's with 10,240. Undoubtedly, Amber's post was the fastest.
7)
If you want to most shares as possible, choose Amber with fewer friends initially but more shares. This is because the exponential potential of a number even just a bit higher is insane. For instance, 3^10 (Ben's rate at 10th day) is only 59,049 while Amber's rate will be 4^10 which is 1,048,576. Amber's number is almost 18 times higher than Ben's. Even if Ben's initial number was say 1,000 or even 1,000,000, Amber would catch up rather quickly. Therefore, the rate is the quintessential part of an exponential growth function.
Answer:
Here is the slope:
[tex]y = zy + dsince m = 0c = 9[/tex]
Hope this helps
If n denotes a number to the left of 0 on the number line such that the square of n is less than \small \frac{1}{100}, then the reciprocal of n must be
Answer:
The reciprocal of n must be less than 10.
Step-by-step explanation:
It can be inferred from the question given that n is not a negative number.
But,
[tex](n)^{2}[/tex] < [tex]\frac{1}{100}[/tex]
Find the square root of both sides,
n < [tex]\sqrt{\frac{1}{100} }[/tex]
⇒ n < [tex]\frac{1}{10}[/tex]
n < 0.1
The reciprocal of n can be estimated as;
[tex](n)^{-1}[/tex] < [tex](\frac{1}{10}) ^{-1}[/tex]
[tex]\frac{1}{n}[/tex] < 10
The reciprocal of n is less than 10.
The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find number of girls.
Answer:
[tex]x = 10[/tex]. In other words, there number of girls is [tex]10[/tex].
Step-by-step explanation:
The average of a number of measurements is equal to the sum of these measurements over the number of measurements.
[tex]\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}[/tex].
Rewrite to obtain:
[tex]\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}[/tex].
For this question:
[tex]\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}[/tex].
[tex]\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}[/tex].
On the other hand, there are [tex](15 + x)[/tex] boys and girls in total. Using the formula for average:
[tex]\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}[/tex].
From the question, this average should be equal to [tex]123[/tex]. In other words:
[tex]\displaystyle \frac{1875 + 120\, x}{15 + x} = 123[/tex].
Solve this equation for [tex]x[/tex] to obtain:
[tex]1875 + 120\, x= 123\, (15 + x)[/tex].
[tex](123 - 120)\, x = 1875 - 123 \times 15[/tex].
[tex]x = 10[/tex].
In other words, the number of girls here is [tex]10[/tex].
Without actually multiplying, how can you tell if the product of two numbers will be negative?
Answer:
There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative.
Step-by-step explanation:
A fountain was marked up 170% from an original cost of $1000. Last Friday ,Bernie bought the fountain and paid and additional 13% in sales tax.what was his total cost?
Answer:
$ 3051
Step-by-step explanation:
Original cost = $ 1000
Marked up Price = Original cost + 170% of 1000
= 1000 + 1.7 * 1000
= 1000 + 1700
= $ 2700
Sales tax = 13% of 2700
= 0.13 * 2700
= 351
Total cost paid by Bernie = 2700 + 351 = $ 3051
(-3)^5 x (-3)^2 in single power
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}= a^{m+n}\\\\\\(-3)^{5}*(-3)^{2}=(-3)^{5+2}=(-3)^{7}[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{(-3)^7}}[/tex]
Step-by-step explanation:
[tex](-3)^5 \times (-3)^2[/tex]
When bases are same for exponents in multiplication, the exponents are added.
[tex]a^b \times a^c=a^{b+c}[/tex]
[tex](-3)^{5+2}[/tex]
Add the exponents.
[tex](-3)^7[/tex]
A person who sold an article at a profit of 20% if he sold it for RS 81 less his loss would have been 12% . Find it's cost price .
Answer:
Rs 253.13
Step-by-step explanation:
The item cost him x.
Selling at a profit of 20% means he sold it for 1.2x.
Selling at a loss of 12% means that he sold it for 0.88x.
1.2x - 81 = 0.88x
1.2x - 0.88x = 81
0.32x = 81
x = 253.13
! 25 points ! a) 68 is what percent of 80? b) 88.83 is 423% of what? c) 36.8% of what number is 28.52? d) What number is 95% of 40? Thankyou!
Step-by-step explanation:
Let the number to be found be x
a).68 is what percent of 80 is written as
[tex] \frac{x}{100} \times 80 = 68[/tex]
Multiply both sides by 100
We have
80x = 6800
Divide both sides by 80
we have the answer as
x = 85
Therefore the percentage is 85%b).Let the number be x
88.83 is 423% of what is written as
[tex] \frac{423}{100} x = 88.83[/tex]
Multiply through by 100
We have
423x = 8883
Divide both sides by 423
We have the answer as
x = 21
The number is 21c).Let the number be x
36.8% of what number is 28.52 is written as
[tex] \frac{36.8}{100} x = 28.52[/tex]
Multiply through 100
We have
36.8x = 2852
Divide both sides by 36.8
We have the answer as
x = 77.5
The number is 77.5d).What number is 95% of 40 is written as
[tex] \frac{95}{100} \times 40[/tex]
We have the final answer as
38Hope this helps you
I'm confused on simplifying radicals.
Answer: 4 or [tex]\sqrt{4 * 4}[/tex]
To find the square root of a number, remember that there will be two factors that are the same that will give you the product.
Lets start from 1:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
As you can see, 4 x 4 is 16. To make sure I'm correct, remember that a square roots consists two identical factors.
4 and 4 are the same numbers.
Therefore, [tex]\sqrt{16}[/tex] = 4
It can also be written as [tex]\sqrt{4 * 4}[/tex]
Answer:
the answer is 4
Step-by-step explanation:
I use a calulator but if you dont have one then the way to do square roots is find a number say 4 and put it to the 2 power and it equaks 16 (4^2)=16. I cant really explain much more
x+1=1
what's x anwser?
Explain step by step
Answer:
[tex]\huge\boxed{x=0}[/tex]
Step-by-step explanation:
[tex]x+1=1\\\\x+1-1=1-1\\\\\boxed{x=0}[/tex]
Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism:V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)
Answer:
Volume of a rectangular prism = x^3 - 4x^2
Step-by-step explanation:
V = L*W*H
Where,
V= Volume of a rectangular prism
L= Length
W= Width
H= height
Volume of a rectangular prism= Length × Width × Height
Let
length of the box = x
width = length
Width = x
Height= x - 4
Volume of a rectangular prism= Length × Width × Height
= x * x * (x - 4)
= x^2 * (x - 4)
= x^3 - 4x^2
Volume of a rectangular prism = x^3 - 4x^2
What is 12/2? Answer for 10 points!!!
Answer:
6
Step-by-step explanation:
12/2=6/1=6
Answer:
6
Step-by-step explanation:
The sum of all the integers from 1000 and 10000 inclusive is y. Which expression represents the sum of all integer from 1003 to 10000 included?
Answer:
Step-by-step explanation:
What's missing from the original condition.
1000
1001
1002
=====
3003
So the answer is y - 3003
Convert the following decimal to a fraction. Be sure to simplify your fraction, .19 repeated
Answer:
0.19 = 19/100
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
0.19=0.191
Multiply to remove 2 decimal placesy 102 = 100
0.19/1 × 100/100 = 19100
Conclusion
0.19=19100
The number that is 40% more than five more than a number a.
Answer:
7
Step-by-step explanation:
5×0.4 = 2
2 + 5 = 7
The number a would be 7 which is 40% more than five more than a number a.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given the number that is 40% more than five more than a number a.
We need to find the unknown number a.
So, 40 % = 0.4
Let find the first part that is; "the number that is 40% more than five"
5 × 0.4 = 2
Now, five more than a number a.
2 + 5 = a
a = 7
Therefore, the number a would be 7 which is 40% more than five more than a number a.
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To solve the equation from the previous screen, subtract
4 from each side.
x + 4 = -1
-4 -4.
What would the next step say? Enter it below.
PLEASE HELPP
100 50 points
Answer:
x = -5
Step-by-step explanation:
x + 4 = -1 (subtract -4 on each side)
(x + 4) + (-4) = -1 + (-4)
therefore,
x = -5
Please solve, m +5=-m-2-5m+7?
Answer:
[tex]\Huge \boxed{m=0}[/tex]
Step-by-step explanation:
[tex]m +5=-m-2-5m+7[/tex]
Adding m and 5m to both sides of the equation.
[tex]m +5+m+5m= -m-2-5m+7+m+5m[/tex]
Subtracting 5 from both sides of the equation.
[tex]m +5+m+5m-5=-2+7-5[/tex]
Combining like terms and simplifying.
[tex]7m=0[/tex]
Dividing both sides of the equation by 7.
[tex]m=0[/tex]
Answer:
m = 0
Step-by-step explanation:
m + 5 = - m - 2 -5m + 7
m + 5 = -m - 5m - 2 + 7
m + 5 = -6m + 5 (combine like terms)
m = 0
Five more than three times a number q in algebraic expression
Answer:
3q + 5
Step-by-step explanation:
Three times a number q is 3q, and 5 more than that is 3q + 5.
In the figure the solid path indicates the usual path of a taxi cab. Unfortunately there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route
Answer:
A) 2 miles
Step-by-step explanation:
2) In the figure the solid path indicates the usual path of a taxi cab. Unfortunately, there was construction and the taxi cab had to take the dotted route. If each tick mark represents one mile, how much longer was the detour than the regular route?
A) 2 miles
B) 3 miles
C) 5 miles
D) 11 miles
For the function f(x)=6x^2-2x+1, evaluate and fully simplify each of the following:
(Look at picture)
Answer to the 1st part: [tex]6x^2+12xh+6h^2-2x-2h+1[/tex]
Answer to the 2nd part: [tex]12x+6h-2[/tex]
==============================================
Work Shown:
Replace every x with (x+h). Expand and simplify
[tex]f(x) = 6x^2-2x+1\\\\f(x+h) = 6(x+h)^2-2(x+h)+1\\\\f(x+h) = 6(x^2+2xh+h^2)-2(x+h)+1\\\\f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\[/tex]
----------------------------
Subtract off f(x), then divide everything over h. Simplify.
[tex]f(x+h) = 6x^2+12xh+6h^2-2x-2h+1\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-(6x^2-2x+1)\\\\f(x+h)-f(x) = 6x^2+12xh+6h^2-2x-2h+1-6x^2+2x-1\\\\f(x+h)-f(x) = 12xh+6h^2-2h\\\\\frac{f(x+h)-f(x)}{h} = \frac{12xh+6h^2-2h}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{h(12x+6h-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} = 12x+6h-2\\\\[/tex]
The value of Function, [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
Here, the function is given as,
[tex]f (x) = 6x^{2} -2x + 1[/tex]
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Now,
Replace every x with (x + h) and expand it,
[tex]f (x) = 6x^{2} -2x + 1\\f (x+h) = 6(x+h)^{2} -2(x+h) + 1\\f (x+h) = 6 (x^{2} +h^{2} + 2xh) - 2x -2h +1\\f (x+h) = 6x^{2} +6h^{2} +12xh -2x-2h+1\\[/tex]
And,
[tex]f (x+h) - f(x) = ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\\frac{f (x+h) -f (x)}{h} =\frac{ ( 6x^{2} +6h^{2} +12xh -2x-2h+1) - (6x^{2} -2x+1)\\}{h} \\\frac{f (x+h) -f (x)}{h} =\frac{ 6x^{2} +6h^{2} +12xh -2x-2h+1 -6x^{2} +2x-1\\}{h} \\\\\frac{f (x+h) -f (x)}{h} =\frac{12xh +6h^{2}-2h }{h} \\\frac{f (x+h) -f (x)}{h} = 12x + 6h -2[/tex]
Hence,
The value of function [tex]f (x + h) = 6x^2 + 6 h^2 + 12 x h - 2x -2h + 1[/tex]
And, The value of [tex]\frac{f (x + h)- f(x)}{h} = 12 x + 6h -2[/tex].
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which of the following is the product for (x+4)(x-2)?
A. x^+ 2+2x-8
B. x^-2x-8
C. x-2
D. 2x^2+4x-8
Answer:
A
Step-by-step explanation:
X times x is x squared then x times - 2 is - 2x but 4 times x is 4x. So 4x plus - 2x is 2x. Then 4 times - 2 is - 8 put that all together you'll get x^+ 2+2x-8