Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
 PLEASE HURRY I WILL GIVE BRAINLIEST AND 5 STAR AND HEART! THANK YOU!
Answer:
I believe it is 55°.
I can't remember the exact steps for this tho.
I hope it is right! good luck!
f(x) = 2x + 7 with domain: x = {2, 3, 5, 9}
Answer:
2(2)+7=11
2(3)+7=13
2(4)+7=15
2(5)+7=17
2(9)+7=25
Step-by-step explanation:
2(2)+7
4+7=11
2(3)+7
6+7=13
2(4)+7
8+7=15
2(5)+7
10+7=17
2(9)+7
18+7=25
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
9514 1404 393
Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
6(2x-11)<-3+5x Need help asap
Answer:
x <9
Step-by-step explanation:
6(2x-11)<-3+5x
Distribute
12x -66 < -3+5x
Subtract 5x from each side
12x-5x -66 < -3+5x-5x
7x -66< -3
Add 66 to each side
7x-66+66<-3+66
7x<63
Divide by 7
7x/7 <63/7
x <9
3. Find f(x) - g(x)
4 options to pick from
Answer:
Answer is 13x⁴ - x³ - 9x²( the last option)
Step-by-step explanation:
f(x) = 8x⁴ - x³ - 4x²
g(x) = -5x⁴ + 5x²
so,
f(x) - g(x)
=(substituting the value)
= (8x⁴ - x³ - 4x²) - (-5x⁴ + 5x²)
= 8x⁴ - x³ - 4x² + 5x⁴ - 5x²
= 8x⁴ + 5x⁴ - x³ - 4x² - 5x²
= 13x⁴ - x³ - 9x²
Answer:
The 4th option would be correct.
Step-by-step explanation:
No complex calculations are needed. Just pay attention to what the problem is asking for. Notice that f(x) is positive while g(x) is negative. So instead of adding, you're subtracting.
Now look at the last coefficients in each function. Notice that they're the same term, since both of their variables are x^2. Since we're subtracting, that 5x^2 in function g is actually going to be negative. This is why the answer would be the last option, since it's the only one that shows that -4x^2 and -5x^2 is being combined.
Also, at the start, I said no complex calculations are needed. This is because the problem didn't say 'Show your work' or something along those lines. Only do it if it asks, or if your teacher does.
Instructions: Given the following constraints, find the maximum and minimum values for z.
x + 3y < 0
Constraints: X – Y > 0
3x – 7y < 16
Optimization Equation: 2 = -x + 5y
Maximum Value of z:
Minimum Value of z:
Check
Answer:
[tex]x+3y\leq 0[/tex]
[tex]x-y\geq 0[/tex]
[tex]1) x+3y=0[/tex]
[tex]x-y=0[/tex]
[tex]-----[/tex]
[tex]4y=0[/tex]
[tex]y=0[/tex]
[tex]x=0[/tex]
[tex](0,0)[/tex]
[tex]2)(x+3y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x+9y=0[/tex]
[tex]3x-7y=16\\------\\16y=-16[/tex]
[tex]y=-1[/tex]
[tex](3,-1)[/tex]
[tex]3)(x-y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x-3y=16[/tex]
[tex]3x-3y=0[/tex]
[tex]3x-7y=16\\------\\4y=-16[/tex]
[tex]y=-4[/tex]
[tex]x=4[/tex]
[tex](4,-4)[/tex]
[tex]Z=-x+5y[/tex]
[tex](0,0):z=0[/tex]
[tex](3,-1):z=-8[/tex]
[tex](4,-4):z=-24[/tex]
[tex]Maximum \:Value\: of\: z:0[/tex]
[tex]Minimum\: Value\: of\: z:-24[/tex]
OAmalOHopeO
Does this graph show a function? Explain how you know.
Answer:
yes because the graph passes the vertical line test
What is (9.3x10^34)
(3.1x10^17) in scientific notation?
Answer:
3x10^17
Step-by-step explanation:
(9.3/3.1) * 10^(34-17) = 3^17
law of indices, x^m/x^n =x^m-n
Angles A and B are complementary. The measure of angle A
is yº. What is the measure of angle B?
Answer:
D, [tex](90-y)[/tex] degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get
[tex]y+B=90[/tex]
To get the measure of angle B, we must isolate B.
To isolate B, we have to remove every term from its side.
The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:
[tex]B=90-y[/tex]
The only answer option that meets this criteria is D.
In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?
Answer:
Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)
The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.
Step-by-step explanation:
.
BOYS AND GIRLS, HELP ME PLEASE!!
5,6,7,8 PLEASE
factor this examples
Answer:
5) 4а²+8ас=4а(а+2с)
6) 3m²-6mn=3m(m-2n)
7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)
8) ab+ac+xb+c=b(a+x)+c(a+1)
1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.
Answer:
40 feets
Step-by-step explanation:
Given that :
Person's height = 5feet 6 inches ;
Person's height in inches ;
1 foot = 12 inches ;
5 feets = (12 * 5) = 60 inches
Person's height = 60 + 6 = 66 inches
Height of person's shadow = 16.5 inches
Height of post shadow = 120 inches
Height of goal post = x
(Height of goal post / height of post shadow) = (person's height / person's shadow)
x / 120 = 66 / 16.5
Cross multiply :
16.5x = 120 * 66
16.5x = 7920
x = 7920 / 16.5
x = 480 inches
To feets ;
1 foot = 12 inches
480 inches = 480/12 feets = 40 feets
Help please !!!!!!!!!!
Answer:
D
Step-by-step explanation:
A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test
The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?
Answer:
40 kg
Step-by-step explanation:
[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]
y · 83.75 = 5 · 670
83.75y = 3350
83.75y ÷ 83.75 = 3350 ÷ 83.75
y = 40
The amount of rice you can buy for ₹670 is given by the equation
A = 40 kilograms
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of rice for ₹670 be A
Now , the equation will be
The amount for 5 kg of rice = ₹ 83.75
So , the amount for 1 kg of rice = amount for 5 kg of rice / 5
The amount for 1 kg of rice = 83.75 / 5
The amount for 1 kg of rice = ₹ 16.75
So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice
The amount of rice for ₹ 670 = 670 / 16.75
The amount of rice for ₹ 670 = 40 kilograms
Therefore , the value of A is 40 kilograms
Hence , the amount of rice is 40 kg
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J.W. is an artist and sells hisnpottery each year at a local Renaissance Festival. He keeps track of his sales and the 7.75% sales tax he collects by making notations in a ledger. Every evening he checks his records by counting the total money in his cash drawer. After a day of selling pottery, the cash totaled $1253.68. How much is from the sale of the merchandise and how much is sales tax? Round your answer to the nearest cent.
The amount from tax is $97.16 while the amount from sales is $1156.52
Tax is a compulsory sum levied on the sales of goods and services
Taxes increases the price of a good
The price of J.W.'s pottery would be 7.75% higher as a result of the tax
Amount of tax collected = percentage of sales tax x total of cash
0.0775 x $1253.68 = $97.16
Amount from the sale = total cash - taxes
$1253.68 - $97.16 = $1156.52
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ative section 3. a) The angle of elevation of the top of a tree observed from a point 60 m away from its foot is 45. Find the height of the tree, b) The angle of depression at a noint on 11
Answer:
The height of the tree is is 60m
Step-by-step explanation:
Let's answer a, as it is the only complete question.
We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.
We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).
You can see that the adjacent cathetus to the 45° angle is equal to 60m
And the opposite cathetus is the measure we want to find.
Now you can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
So to find the height of the tree we need to solve:
tan(45°) = H/60m
This is just:
tan(45°)*60m = H =60m
The height of the tree is is 60m
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the ________, and the mean difference attributed to individual differences is in the ________ of the test statistic. numerator; numerator denominator; numerator numerator; denominator denominator; denominator
Answer:
1. numerator;
2. denominator
Step-by-step explanation:
For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.
Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item. Which souvenirs cost less than $2.25 per item?
Answer:
Tote bag ; Picture Frame ; Mug
Step-by-step explanation:
Given the following souvenir list :
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
To determine the cost per item in the sourvenir :
Divide the cost of sourvenir by the number of items in each sourvenir ;
Tote bag = $49.00 / 25 = $1.96
picture frames = $32.25 / 15 = $2.15
water bottles = $27.60 / 12 = $2.30
mugs = $15.92 / 8 = $1.99
T-shirts = $25.00 / 10 = $2.50
Hence, souvenirs which costs less than 2.25 per item are :
Tote bag ; Picture Frame ; Mug
Write an inequality that represents the set of all numbers shown on the number line
-8 and -1
Answer:
-8 is less than -1
Step-by-step explanation:
If you look at a number line
-8 -7 -6 -5 -4 -3 -2 -1 0
Which one is closest to 0. -1, therefore it is greater
The set of all numbers shown on the number line 8 < -1.
What is a number line?A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.
The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.
A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.
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Will give brainliest need quick answers
Answer:
u=1
v = 10
Step-by-step explanation:
For the triangles to be congruent
IG = PR
50 = u+49
50 - 49 = u
1 = u
GH = RQ
v+6 = 16
v = 16-6
v = 10
A rock is dropped from a height of 100 feet calculate the time between when the rock was strong and when he landed if we choose down as positive and ignore air friction the function is h(t)=16t^2-100
Answer:
[tex]2.5s[/tex]
Step-by-step explanation:
We are given a function which tells us at what time the rock is at a certain height. What should be the height of this function when the rock hits the ground? 0, because it has no height, it's on the ground!
So let's plug in 0, and see what value we get for the time.
[tex]0 = 16t^2-100\\100 = 16t^2\\\frac{100}{16} = t^2\\[/tex]
To solve for t we need to take the square root of both sides.
[tex]t = \sqrt{\frac{100}{16} } = \frac{10}{4} = 2.5s[/tex]
2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one
Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( [tex]\frac{ratio}{area}[/tex] )
[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = [tex]\sqrt{16}[/tex] = 4
length of the smaller one is 4 cm
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answer:
43,200 minutes in 1months or 30 days
There are 43200 minutes in one month.
What is multiplication?The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, How many minutes are in a 30-day month,
We have, 60 minutes in 1 hour
And, 24 hours in 1 day,
Then, number of minutes in 1 day = 60 × 24 = 1440 minutes
Therefore, in 1 month = 1440 × 30 = 43200 minutes
Hence, there are 43200 minutes in one month.
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SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
Please hurry I will mark you brainliest
Answer:
q = 1/4
Step-by-step explanation:
-5/4 - (-1/4) = -1
-1/(q-1/2) = 4
-1 = 4(q-1/2)
-1 = 4q - 2
1 = 4q
q = 1/4
A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³
Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
Multi step equations!
No links, thank you<33
Answer:
22/5
Step-by-step explanation:
3m+18+2m=40
5m=40-18
5m=22
m=22/5
[tex] \bf \large \longrightarrow \: 3m \: + \: 18 \: + \: 2m \: = \: 40[/tex]
[tex] \bf \large \longrightarrow \:5m \: + \: 18 \: = \: 40[/tex]
[tex] \bf \large \longrightarrow \:5m \: = \: 40 \: - \: 18[/tex]
[tex] \bf \large \longrightarrow \:5m \: = \: 22[/tex]
[tex] \bf \large \longrightarrow \:m \: = \: \frac{22}{5} \\ [/tex]
[tex] \bf \large \longrightarrow \:m \: = \: \cancel\frac{22}{5} \: \: ^{4.4} \\ [/tex]
[tex] \bf \large \longrightarrow \:m \: = \: 4.4[/tex]
Complete the table to investigate dilations of
exponential functions.
3.2*
23x
-2
NAN
62
-1
2 / 를
0
a
b
с
1
d.
e
f
2
4
12
64
a =
b
с
e
f=
d =
DONE
Intro
Answer:
a= 1
b= 3
c= 2
d= 2
e= 6
f= 8. These are the answers for the question. Love from Gauthmath
The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9
Functions and valuesThe standard exponential function is expressed as:
y =ab^x
wherex is the exponent
a is the base
According to the question, we are to fill the given table based on the given exponential functions.
If the exponential function is 2^x
a = 2^0 = 1
d = 2^1 = 2
If the exponential function is 3*2^x
b = 3* 2^0 = 3
e = 3 * 2^1 = 6
If the exponential function is 2^3x
c = 3^2(0) = 3^1 = 3
f = 3^2(1) = 3^2 = 9
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On the grid, sketch a graph to represent
Sandy's walk to school based on the
description below.
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk för 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.
Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;
[tex]\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}[/tex]
The plot of the above point is completed using MS Excel as shown in the attached diagram.
A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the
probability of a tornado is 0.15.
. The number of tornadoes in any calendar year is independent of the number of tornados in any other
calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 19 year period.
Answer:
.441320612
or
44.132%
Step-by-step explanation:
This is binomial
fewer than 3 is equal to p(0)+p(1)+p(2)
[tex]p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612[/tex]
