Answer:
The answer is B
Step-by-step explanation:
The simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
p(x) = x³ + x
The difference quotient of the function:
p(x + h) = (x + h)³ + (x + h)
The difference quotient of the function:
= [((x + h)³ + (x + h)) - (x³ + x)]/h
= [x³ + 3x²h + 3xh² + h³ + x + h - x³ - x]/h
= [3x²h + 2xh² + h³ + h]/h
= 3x² + 3xh + h² + 1
Thus, the simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.
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F(x) = 16x^5
Linear or Non linear
(NO LINKS PLEASE!)
Answer:
y = 16x^5
Step-by-step explanation:
write this in exponential form
a×b×a×b×a
[tex] {a}^{3}. {b}^{2} [/tex]
:D
Explanation:
We have three copies of 'a' multiplied, so that's why the exponent for 'a' is 3.
Similarly, the b^2 means we have b*b or two copies of b multiplied together.
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
Position of top rail of boat after increasing water level = 1 feet out of water
Step-by-step explanation:
Given:
Position of top rail of boat = 4 feet out of the water
Water level increases = 3 feet
Find:
Position of top rail of boat after increasing water level
Computation:
Position of top rail of boat after increasing water level = Position of top rail of boat - Water level increases
Position of top rail of boat after increasing water level = 4 - 3
Position of top rail of boat after increasing water level = 1 feet out of water
fren drew a triangle with no congruent sides and 1 right angle.which term accurately describes the triangle
The function f(x) is graphed below. Use the graph of the function to find, f(-6). A. -3 B. -1 C. 1 D. 3
Answer:
-3
Step-by-step explanation:
Answer:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
Step-by-step explanation:
The function f(x) is graphed below.
Use the graph of the function to find, f(-6).
A. -3
B. -1
C. 1
D. 3
answer -3
Kirsten runs at an average rate of meters per second. What is Kirsten’s average rate in kilometers per minute?
Answer:
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Step-by-step explanation:
Suppose Kirsten's running rate is r meters per second. This is to be converted to kilometers per minute.
Set up conversion fractions that will get you from
[tex]\frac{\text{m}}{\text{sec}} \rightarrow \frac{\text{km}}{\text{min}}[/tex]
You want to set up fractions so that the m on top is replaced with km and the sec on the bottom is replaced with min.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{km}}{\text{m}} \times \frac{\text{sec}}{\text{min}}[/tex]
To see how the units work, cancel the m on top of the first fraction and the m on the bottom of the second fraction. Do the same with the sec on the bottom of the first fraction and the top of the third fraction. What units are left? km per min!
To finish this, put the appropriate numbers into each fraction.
[tex]\frac{\text{m}}{\text{sec}} \times \frac{\text{1 km}}{\text{1000 m}} \times \frac{\text{60 sec}}{\text{1 min}} = \frac{\text{60 km}}{\text{1000 min}}[/tex]
This is what you multiply Kirsten's rate by, so she runs
[tex]r \frac{\text{60 km}}{\text{1000 min}}[/tex]
Scientists once thought that life spontaneously arose from nonliving things. It took extensive experimentation and the invention of new technology to confirm the tenets that now make up the cell theory. Now, we don't even question that cells are the basic units of life and only come from preexisting cells. What technology had the biggest impact on the development of the cell theory?
centrifuge
electrophoresis
microscope
telescope
The technology had the biggest impact on the development of the cell theory is microscope. Hence, option C is correct.
What is cell?The fundamental units of all living organisms are cells. There are many billions of cells in the human body. They give the body structure, absorb nutrients from meals, turn those into energy and perform certain tasks. Additionally, cells have the ability to replicate themselves and contain the body's genetic material.
Each component of a cell has a different purpose. These components include organelles, which are specialized structures that carry out specific functions for the cell.
A cell's nucleus acts as its command center, giving instructions on how to develop, develop, divide, or die. The cell's genetic material, DNA (deoxyribonucleic acid), is also stored there. The envelope, which encircles the nucleus and divides it off from the rest of the cell, shields the DNA and serves as a barrier.
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In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
angle at C is (16x)".
(122)
15x – 10)
(16x) °
А
С
What is the measure of the exterior angle at C?
PLS HELP
Answer:
measure of exterior angle at C = 160°
Step-by-step explanation:
An exterior angle of a triangle equals the sum of the two remote interior angles
A and B are the remote interior angles. So,
m∠A + m∠B = measure of exterior angle at C
5x - 10 + 12x = 16x
17x - 10 = 16x
x = 10
measure of exterior angle at C = 16x = 16(10) = 160°
Plz help no links :)
Answer:
C) f(x) = 6.25x + 3
Step-by-step explanation:
In order to know which one of the functions could produce the results in the table we simply need to substitute the number of candy bars for x in the function and solve it to see if it provides the correct total weight shown in the table. If we do this with the functions provided we can see that the only one that provides accurate results would be
f(x) = 6.25x + 3
We can input the # of candies for x and see that it provides the exact results every time as seen in the table.
f(x) = 6.25(1) + 3 = 9.25
f(x) = 6.25(2) + 3 = 15.50
f(x) = 6.25(3) + 3 = 21.75
f(x) = 6.25(4) + 3 = 28
What must x equal if line a is parallel to line b?
•what type of angles?
•value of x?
Answer:
Corresponding angles
[tex](2x + 35) \degree = 103\degree \\ 2x = (103 - 35)\degree \\ 2x = 68\degree \\ x = 34\degree[/tex]
An equation that is true for all real numbers for which both sides are defined is called a(n)
Answer:
Identity- An equation that is true for all real numbers for which both sides are defined is called a(n) Identity
Step-by-step explanation:
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
What is real numbers?Real numbers are just the numbers on the number line. It is the easiest way to think of them. Basically, if you can put the number in question on an infinitely big number line, then it is a real number.
It called identity. Identity equations are conditions that are genuine regardless of what esteem is connected to for the variable. On the off chance that you rearrange a personality condition.
An identity is a balance that remains constant paying little respect to the qualities decided for its variables. They are utilized as a part of streamlining or reworking polynomial math articulations. By definition, the two sides of a character are tradable, so we can supplant one with the other whenever.
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If Sn=2^n-1
what's the expression of
Sn-1?
Answer:
[tex]S(n-1)=2^{n-2}[/tex]
Step-by-step explanation:
Given that,
The value of [tex]S_n=2^{n-1}[/tex]
We need to find an expression for [tex]S(n-1)[/tex]. To find it, put the value of n as (n-1). So,
[tex]S_{n-1}=2^{n-1-1}\\\\=2^{n-2}[/tex]
Hence, the value of S(n-1) is equal to [tex]2^{n-2}[/tex].
Choice 3: Kyra makes $700.00 a week in her job. She did such a great job this week that she is going to get a 15% raise next week. How much will her raise be?
Please help and this is a Percentage problem :)
Answer:
15/100 x 700 = 105
Step-by-step explanation:
Consider 15% as 15 because you always consider a percent out of 100, you can remember by the word 'cent' meaning 100.
You need to FIRST find out what the percentage is OF whenever coming across these types of problems.
And the keyword 'of' means to multiply.
Diana and Tom buy two cell phones. The phone numbers assigned to each are consecutive integers with a sum of 11,107,273. If the smaller number is Diana's, what are their phone numbers? (Do not include
area code and do not include dashes or spaces.)
Diana's phone number
Tom's phone number
Plz help is algebra
Answer:
Is this the full question?
I need this answer today i will give you a crown and good raitings if you get it write and you give it to me today
Answer:Mean is 22. Median is 19. Mode is 31. Range is 18.
Step-by-step explanation:
Mean: add all the numbers and divide the answer by the number of numbers there were in the beginning.
31+16+13+19+31=110
110/5=22
Median: arrange the numbers in or Eder and find the middle
13,16,19,31,31
The middle is 19.
Mode: is the number that shows up frequently
Mode is 31 as it shows up twice
Range is the difference between the biggest and smallest number
31-13=18
18 is the range.
How long will it take for an investment of $3000 to double in value if the interest rate is 6.5% per year compounded continuously round your answer to two decimal places
PLEASE HELPPPP
Answer:
19,500 I'm pretty sure
Step-by-step explanation:
3,000 x 6.5 = 19,500
Answer? ................,,,,,,
Step-by-step explanation:
what is the formula for the whole surface area of a sphere ?
[tex]a = 4 \times \pi \times {r}^{2} [/tex]
that would give us the whole surface area all 360 degrees or 2×pi arc length all around the sphere.
but we don't need all 360 degrees. we only need the Theta'th (that is the specified angle) part.
in radians the arc length of that angle segment on the "equator" of the sphere
s = r×Theta
and the whole equator circumference is
c = 2×pi×r
so, the Theta'th part is then
r×Theta / 2×pi×r = Theta / 2×pi
we only need that part of the whole sphere surface area, so the formula would look like
[tex]lune = theta \times 4 \times \pi \times {r}^{2} \div (2 \times \pi)[/tex]
=>
[tex]lune = theta \times 2 \times {r}^{2} [/tex]
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents and another twelve from New York residents born after 1979. PA NY Mean 147.583 136.417 Stdev 10.6383 5.21289 If we wished to test the claim that the mean amount of strontium-90 from Pennsylvania residents is greater than the mean of New York residents, and can assume that the variances are equal, what is the Test Statistic for this test
Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
SOLVE TWO
OF THESE QUESTIONS
PLS DUE RN
WILL GIVE
BRAINLIST
Answer: 52.7 Fº
and the 2nd question isn't visible in the photo
Isaac has a games rental business where his customers pay an annual membership and a fixed cost for each game rented. The following table shows the total bill for some new customers who rented different games .
Answer:
(H) is your answer i believe
Step-by-step explanation:
i subtracted 18 from each cost then divided it by 4 and got the numbers of game rented.
Which equation is equivalent to the given equation?
-4(1 – 5) + 8x = 9x - 3
Answer: Hello Luv........
Isolate the variable by dividing each side by factors that don't contain the variable.
x=19
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
Expression A: (2k + 8) + (5k + 10)
Expression B: 76 + 18
Are the two expressions equivalent?
A. No, because for k = 3, the value of Expression A is 29 and the value of Expression B is 39.
B. Yes, because for k= 3, the value of Expression A is 75 and the value of Expression B is 75.
C. Yes, because for k= 3, the value of Expression A is 39 and the value of Expression B is 39.
D. No, because for k= 3, the value of Expression A is 39 and the value of Expression B is 75.
k = 3
Expression A:
[tex](2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39[/tex]
Expression B:
[tex]76 + 18= 94[/tex]
If x: y = 7:8 and y: z = 9:10, find x:y:z
9514 1404 393
Answer:
x : y : z = 63 : 72 : 80
Step-by-step explanation:
We can make the y-value the same by multiplying the first proportion by 9 and the second by 8.
x : y = 63 : 72
y : z = 72 : 80
Now, we can write ...
x : y : z = 63 : 72 : 80
The table shows a pattern for two units of eustomary capacity.
1
4
2
8
3
12
4
Which are the best labels for each column?
A. Gallons, Pups
B. Quarts, Cups
C. Pints, Cups
D. Cups, Fluid Ounces
Use the compass and ruler to construct the bisector of the angle given below.
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;Mark the points A and B;Draw an arc using the point (A) as the center;Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step. Draw a line connecting the point C to the vertex O.Finally, you have the bisector of the angle that is represented by the green line.
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You saved $140 on your new laptop because you bought it online. If this was a 10% savings from the original price, find the original cost of the laptop.
Answer:
$155.56
Step-by-step explanation:
Find the original cost by dividing the new cost by 0.9:
140/0.9
= 155.56
So, the original cost was approximately $155.56
Which one is the value for x, y and z
Answer:
Option (3)
Step-by-step explanation:
Properties of the equal matrices,
1). Every element of the one matrix are equal to the elements of other.
2). Both the matrices have same dimensions.
If, [tex]\begin{bmatrix}x+3 & y+4\\ 7 & -5\end{bmatrix}=\begin{bmatrix}5 & 0\\ 7 & z\end{bmatrix}[/tex]
[tex]x+3=5[/tex]
[tex]x=2[/tex]
[tex]y+4=0[/tex]
[tex]y=-4[/tex]
[tex]x=-5[/tex]
Therefore, Option (3) will be the correct option.
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half of them were assigned at random to the vaccine group, and the other half to the placebo.16 In the vaccine group, there were 57 cases of polio, compared to 142 in the placebo group. Is this difference due to chance? If not, what explains it?
Answer:
Step-by-step explanation:
From the given information:
The number of children that were randomly allocated to each vaccination group; n₁ = 200,000
No of polio cases X₁ = 57
Now, in the vaccine group:
the proportion of polio cases is:
[tex]\hat p_1 = \dfrac{57}{200000}[/tex]
= 0.000285
The number of children that were randomly allocated to the placebo group, n₂ = 200,000
No of polio cases X₂ = 142
In the placebo group
the proportion of polio cases is:
[tex]\hat p_2 = \dfrac{142}{200000}[/tex]
Null and alternative hypothesis is computed as follows:
H₀: There is no difference in the proportions of polio cases between both groups.
H₁: There is a difference in the proportions of polio cases between both groups.
Let assume that the level of significance ∝ = 0.05
The test statistic can be computed as:
[tex]Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}[/tex]
[tex]Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}[/tex]
[tex]Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}[/tex]
Z = - 6.03
P-value = 2P(Z < -6.03)
From the Z - tables
P-value = 2 × 0.0000
= 0.000
We reject the H₀ provided that P-value is very less.
Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.
please help with this practice sheet my parents gave me (show work pls)
Answer:
Answer:
Volume of cylinder =πr²h=π×4²×5=80π m³
=251.2m³
Volume of cuboid=l*b*h=7*3*2=42in³
Volume of cone =(⅓πr²h)+(⅓πr²h)⅓π×(6/2)²(12+8)=60πft³=188.4ft³
scientists released 8 rabbits into a new habitat in year 0
Answer:
A. f(x)= 8(2)^x
Step-by-step explanation:
hope that helped