Answer:
Therefore, the y-intercept is (-12, 0)
Which expression is equivalent to 16³?
2⁷
2¹¹
2¹²
2⁶⁴
Answer:
2^12
Step-by-step explanation:
16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents
Use the Multiplication Law of Exponents to explain why 5^3*5^-3 = 1
(URGENT PLEASE)
The multiplication law states that
a^m×a^n=a^m+nSo
5³×5-³=15^(3-3)=15⁰=11=1Answer:
1 = 1
Step-by-step explanation:
5^3*5^-3 = 1We all know the law of exponents,the one we'll use to solve this is the multiplication law:
x^y * x^z = x^y+zIf the bases are equal or two numbers then the powers are equal too.Solved:
[tex]5^3 \: * \: 5^{-3} = 1[/tex][tex]5 {}^{3 + ( - 3)} = 1[/tex][tex]5 ^{0} = 1[/tex]x^0 = 1
[tex]1 = 1 \: ( \rm \: Proved)[/tex]Alternate method:
5^3*5^-3 = 15^3*1/5^3 = 15^3 and 5^3 cancels, which results to
1 = 1Please help as soon as possible!!
Answer:
A) 144 feet
[tex]\textsf{B)} \quad h(t)=16t(6-t)[/tex]
Step-by-step explanation:
Part A
Given polynomial:
[tex]h(t)=96t-16t^2[/tex]
where:
h(t) is the height of the debris (in feet).t is the time (in seconds) after the explosion.To find the height of the debris 3 seconds after the explosion, substitute t = 3 into the polynomial and solve:
[tex]\begin{aligned}\implies h(3)& = 96(3)-16(3)^2\\ & = 288 - 16(9)\\ & =288-144\\ & =144 \sf \:\: ft\end{aligned}[/tex]
Part B
To factor the polynomial, rewrite 96 as 6 × 16:
[tex]\implies h(t)=6 \cdot 16t-16t^2[/tex]
Rewrite t² as t × t:
[tex]\implies h(t)=6 \cdot 16t-16t \cdot t[/tex]
Factor out the common term 16t:
[tex]\implies h(t)=16t(6-t)[/tex]
Check
Substitute t = 3 into the factored expression:
[tex]\begin{aligned}h(3) & = 16(3)(6-3)\\& = 16(3)(3)\\& = 48(3)\\& = 144\:\: \sf ft \end{aligned}[/tex]
As the height is 144 ft when t = 3 is substituted into the original polynomial and the factored polynomial, this confirms that the factorization is correct.
pls help asap!!!!
Which number best represents the slope of the graphed line?
Answer:
C: 1/2
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: C. \cfrac{1}{2}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Slope of line - } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 4)}{8 - 0} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 4}{8 } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 1}{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
if the first term is -2 and the rule is multiply by 6 and then subtract 13 whats the 3rd term
Answer:
-163
Step-by-step explanation:
-2,-25,-163
-2×6=-12 -12-13=-25
-25×6=-150 -150-13=-163
Answer:
The third term is = -163
Step-by-step explanation:
The first term is = -2
The second term = -2 ×6 = -12 Then - 13 = - 25
The second term = - 25
The third term = -25 × 6 = - 150 Then -13 = -163
The third term is -163
Mark brainliest
help me with math please grade 5
Answer:
15/7 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
15/21
Step-by-step explanation:
First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21
From a hot-air balloon, Brody measures a 39^{\circ}
∘
angle of depression to a landmark that’s 532 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
335.16 ft
Step-by-step explanation:
Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it incorrectly.
Answer:
B. 1:18
Explanation Down Below
Step-by-step explanation:
Hello!
First, let's find the volume of each cylinder by plugging in the given values.
Volume of a Cylinder: [tex]V = \pi r^2h[/tex]
Cylinder ASince the variables are the same as given in the formula, we can just use the formula as the volume.
[tex]\implies{\boxed{{V = \pi r^2h}}[/tex]
Cylinder BWe have to plug in 3r for the radius, and 2h for the height.
[tex]V = \pi r^2 h[/tex][tex]V = \pi (3r)^2(2h)[/tex][tex]V = \pi(9r^2)(2h)[/tex][tex]V = 18\pi r^2h[/tex][tex]\implies \boxed{ V = 18\pi r^2h}[/tex]
RatioWe can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.
[tex]\text{Ratio} = A:B[/tex][tex]\text{Ratio} = \pi r^2h: 18\pi r^2h[/tex][tex]\text{Ratio} = \frac{\pi r^2h}{18\pi r^2h}[/tex][tex]\text{Ratio} = \frac{\not{\pi}\not {r^2}\not{h}}{18\not{\pi}\not{r^2}\not{h}}[/tex][tex]\text{Ratio} = \frac1{18}[/tex][tex]\text{Ratio} =1:18[/tex]The answer is Option B. 1:18.
If [tex]\rm \: x = log_{a}(bc)[/tex], [tex]\rm \: y = log_{b}(ca)[/tex], [tex]\rm \: z = log_{c}(ab)[/tex] , the xyz is equal to :
(a) x + y + z
(b) x + y + z + 1
(c) x + y + z + 2
(d) x + y + z + 3
Use the change-of-basis identity,
[tex]\log_x(y) = \dfrac{\ln(y)}{\ln(x)}[/tex]
to write
[tex]xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}[/tex]
Use the product-to-sum identity,
[tex]\log_x(yz) = \log_x(y) + \log_x(z)[/tex]
to write
[tex]xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}[/tex]
Redistribute the factors on the left side as
[tex]xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}[/tex]
and simplify to
[tex]xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)[/tex]
Now expand the right side:
[tex]xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}[/tex]
Simplify and rewrite using the logarithm properties mentioned earlier.
[tex]xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1[/tex]
[tex]xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}[/tex]
[tex]xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}[/tex]
[tex]xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)[/tex]
[tex]\implies \boxed{xyz = x + y + z + 2}[/tex]
(C)
(PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous.
Answer:
a = - 1b = 7Given A piece-wise function, consisting of three lines.
In order to make the function continuous, the first and second pairs of lines should have common points.
Let's find the common points.1. Intersection of the first two lines:
- x = 2 + x -2x = 2x = - 1This determines the value of a:
a = - 12. Intersection of the second two lines:
2 + x = 2x - 52x - x = 2 + 5x = 7This determines the value of b:
b = 7See the graph attached
Please solve! And explanation!
A fraction is a way to describe a part of a whole. The value of x is 6.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of x can be written as,
[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]
13x + 13 = 7x + 7 + 7x
13x + 13 = 14x + 7
x = 6
Hence, the value of x is 6.
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Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?.
The "sample" with "mean absolute deviation" indicate about a sample mean absolute deviation is being used as an estimator of the mean absolute deviation of a population
Mean of the sample MAD=3.3Population MAD =6.4What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a population?Generally, The MAD measures the average dispersion around the mean of a given data collection.
[tex]1/n \sum_i-1^{n} |x_i -m(X)|[/tex]
In conclusion, for the corresponding same to mean
the sample mean absolute deviation
7,7 ↔ 0
7,21 ↔ 7
7,22 ↔ 7.5
21,7 ↔ 7
21,21 ↔ 0
21,22 ↔ 0.5
22,7 ↔ 7.5
Therefore
Mean of the sample MAD=3.3Population MAD =6.4Read more about mean absolute deviation
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You attend a wedding and are second in line to get a slice of wedding cake. there are 3 slices of vanilla cake, 12 slices of chocolate cake, and 6 slices of red velvet cake left. they are being handed out by a waiter at random. what is the probability that both you and the person in line in front of you get red velvet cake?
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
4.
The graph below shows the distance traveled by a person biking at a rate of 6
miles per hour.
The equation is d = 6t, where t is the number of hours and d is the distance traveled
Write an equation that represents the distance traveled by a person who can bike
at a rate of 8 miles per hour.
Answer:
d=8t
Step-by-step explanation:
Solve the equation.
8-2x = -8x + 14
O x=-1
3
0x = - 1²/20
5
0x = ²/3
O x = 1
Answer:
D. x=1
Step-by-step explanation:
8-2x = -8x + 14
First, add 8x to both sides.
8+6x=14
Next, subtract 8 from both sides.
6x=6
Lasty, divide 6 from both sides.
x=1
Hope this helps!
If not, I am sorry.
im really stuck on this one
Answer:
See below
Step-by-step explanation:
The first one IS decay...as 'x' increases the function decreases
the second and third are NOT ...as 'x' increases the value increases
radioactive decay IS decay (obviously)
the one with e^2x is not ....it grows exponentially as x grows
and finally the last one is decay because as x gets larger the value of y gets smaller
Find the value of x that makes the triangle a right triangle.
A
12
B
13
C
15
D
17
[tex]12^2+9^2=x^2\\144+81=x^2\\x^2=225\\x=15[/tex]
1
2
3
Click on each graph to enlarge it.
4
Suppose f(x) = x. Find the graph of f(x) + 4.
Click on the correct answer.
graph 1
graph 3
↓
graph 2
graph 4
Answer:
its most likley graph 4
Step-by-step explanation:
hope this helps and if its wrong im very sorry
find L.C.M. of:
a) 3 x (x + 1) (x-1) and 2x² (x-1) (x+3).
Answer:
f
Step-by-step explanation
(PLEASE HELP!) A rectangular photograph measures 24x19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm.
If one of the borders must be 2 cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar.
Answer: The card is 28 cm by 23 cm
Check out the diagram below
Explanation:
I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.
what is the answer for this question pls
Answer:
12
Step-by-step explanation:
1 hour = 60 minutes
2 people paint a fence in 1 hour = 60 minutes
10 people are 5 times 2 people, so they need 5 times less time than 2 people.
10 people paint a fence in 60/5 minutes
10 people paint a fence in 12 minutes.
Which of the following is the solution to the following system of inequalities?
x+2y<4
3x-y >2
The solution will be the point of intersection of the two lines. The solution to the system is (1.1, 1.3)
Inequality graphsInequalities are expression not separated by an equal sign. Given the following inequalities
x+2y<4
3x-y >2
They are both written in standard form. The first line will be a dashed line and shaded below the graph while the second line will be a dashed line and shaded above.
The solution will be the point of intersection of the two lines as attached
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Answer:
Graph D is the correct one.
Step-by-step explanation:
What are the asymptote and the y-intercept of the function shown below?
f(x) = 6(0.5)x + 2
A curve declines through (negative 0 point 5, 10), (0, 8), (1, 5), (3, 2 point 9), (4, 2 point 3) and extends linearly through (6, 2), (7, 2), (8, 2) and (9, 2) on the x y coordinate plane.
A.
asymptote: y = 2
y-intercept: (0,8)
B.
asymptote: y = 1
y-intercept: (0,5)
C.
asymptote: y = 2
y-intercept: (0,5)
D.
asymptote: y = -2
y-intercept: (0,8)
The asymptote and the y-intercept of the function is asymptote: y = 2
y-intercept: (0,8) , Option A is the answer.
What is an Asymptote ?Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.
It is given that f(x) = 6 (0.5)ˣ +2
The horizontal asymptote is at y = c
y = 2
From the curve it can be seen that
The intercept of y axis is determined when x = 0
then f(0) = 6 * (0.5)⁰ + 2
f(0) = 8
Therefore the y intercept is at (0,8)
Therefore Option A is the right answer.
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Answer:
C
Step-by-step explanation:
thats what i got
Which of the following is a radical equation?
Ox+√5=12
O x² = 16
O 3+x√7=13
O 7√x = 14
Answer:
2
Step-by-step explanation:
because it's for the point s
The radical equation from the following equation is 3+x√7=13, the correct option is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Four equations
x+√5=12, x² = 16, 3+x√7=13, 7√x = 14
Now,
Out of the four options you gave, only one is a radical equation:
Ox+√5=12 O x² = 16 O 3+x√7=13 O 7√x = 14
Only 3+x√7=13 because x is under a cube root sign. The other options are not radical equations because they do not have variables under radicals.
Therefore, the radical equation will be 3+x√7=13.
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The correlation in error terms that arises when the error terms at successive points in time are related is termed _____.
Answer:
auto correlation is the answer to the question
13. When the cost of fuel rose by 10%, Albert decreased his fuel consumption by 10%. Albert claimed that there was no change in his expenditure on fuel consumption. Explain if Albert is right or wrong.
Answer:
Wrong
Step-by-step explanation:
Let cost of Albert's fuel be x.
When cost of fuel rises by 10% :
x (1 + 10%)x (1 + 0.1)1.1xWhen consumption is reduced by 10% :
1.1x (1 - 10%)1.1x (1 - 0.1)1.1x (0.9)0.99xSo clearly there is a 1% change in expenditure. Hence, Albert's claim is wrong.
Answer:
Albert is wrong -- explanation below
Step-by-step explanation:
Albert's expenditure "C" on fuel at any point in time is the product of the unit price, "p", and the amount of fuel purchased, "n".
In an equation form, [tex]C=pn[/tex].
Looking at some time before the changes, let's denote the unit price, the amount of fuel, and the expenditure with subscripts "1" to denote specific values at time 1, before the changes.
[tex]C_1 = p_1 n_1[/tex]
After the changes, note that p1 increased by 10%, and amount of fuel decreased by 10%.
Understanding changing percentages
For values that stay the same, we would multiply by 100% (or 1.00), since multiplying by 1 doesn't change the value.
For a 10% increase, we need 100%+10% which equals 110% or 1.10
For a 10% decrease, we need 100%-10% which equals 90% or 0.90
So, the new prices and amounts and costs at some later time, time 2, are given by [tex]C_2 = p_2 n_2[/tex], where [tex]p_2 = 1.10p_1[/tex] and [tex]n_2 = 0.90n_1[/tex].
Substituting:
[tex]C_2 = p_2 n_2[/tex]
[tex]C_2 = (1.10p_1) (0.90n_1)[/tex]
[tex]C_2 = 0.99 p_1 n_1[/tex]
But remember that [tex]C_1 = p_1 n_1[/tex], so
[tex]C_2 = 0.99 C_1[/tex]
In other words, the next expenditure is 99% as much as (or 1% less than) the old expenditure.
Thus, Albert is incorrect to state that there was NO change in his expenditure.
Help please
A.-3
B.-1/3
C.1/3
D.3
Samuel Haskins uses his minivan primarily for his delivery business. He has 100/300 bodily injury, and $100,000 property damage coverage. His driver-rating factor is 3.55 because of his business use. His vehicle is classified A, 15.
In insurance, in a 100/300 policy, it should be noted that up to $100,000 bodily injury per single person injured in the accident will be covered.
What is insurance coverage?An insurance coverage simply means the amount of risk or liability for an individual.
In this case, in a 100/300 policy, up to $100,000 bodily injury per single person injured in the accident will be covered.
Also,an amount up to $300,000 in total will be for bodily injuries per accident. Finally, there's a $100,000 for damages to the property of others.
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Susan makes purple paint by mixing red and blue paint in the ratio 2:3
She has 12ml of red and 15ml of blue
What is the maximum amount of purple she can make?
which number produces a rational number when added to 0.53
Answer:
5/7 or D
Step-by-step explanation:
i just know
