A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?
Answer:
a)[tex]ms^{-1}[/tex]
b)[tex]71ms^{-1}[/tex]
Solution:
a)
we are finding the derivative from position to velocity thus
units = [tex]ms^{-1}[/tex]
b)
[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]
what is
- l4l equal to?
Answer: -4
Explanation:
Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.
However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
What’s the property of 41 + 29=41 +(9+20)=(41+9)+20=70
Answer:
Step-by-step explanation:
Distributive
Step-by-step explanation:
41+29=70
41 +(9+20)=70
(41+9)+20=70
hope it help
Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4
Answer:
We have the inequality:
3*(2*x - 1) < 9
Where the given options are:
0, 1, 2, 3, 4
(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).
Again, let's start with the inequality:
3*(2*x - 1) < 9
and let's isolate the variable x.
(2*x - 1) < 9/3 = 3
(2*x - 1) < 3
2*x < 3 + 1 = 4
2*x < 4
x < 4/2
x < 2
Then all the values of x that are strictly smaller than 2 make the inequality true.
From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:
x = 0
and
x = 1.
f(x) = xWhat is g(x)?
Answer:
D.
Step-by-step explanation:
I don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Answer:
compressibility, particle motion, shape
Step-by-step explanation:
just took it
What two numbers sum up to 11 and multiply to 18
Answer:
9 and 2
Step-by-step explanation:
9+2=11
9×2=18
Answer:
9 and 2
Step-by-step explanation:
If f left parenthesis x right parenthesis equals x squared minus 3 x plus 5 , then f left parenthesis 4 right parenthesis equals
Answer:
f(4) = 9
Step-by-step explanation:
f left parenthesis x right parenthesis equals x squared minus 3 x plus 5
f(x) = x² - 3x + 5
f left parenthesis 4 right parenthesis equals
f(4) =
f(x) = x² - 3x + 5
When x = 4
f(4) = 4² - 3(4) + 5
= 16 - 12 + 5
= 9
f(4) = 9
Answer:
Pretty sure its A
Step-by-step explanation:
a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?
Answer:
27
Step-by-step explanation:
V_cylinder = pi r^2 h
h = 36
V_cylinder = 36 pi r^2
V_Sphere = 4/3 * pi * r^3
But the volumes are given as equal
36pi r^2 = (4/3) pi r^3 divide by pi r^2
36 = 4/3 r Multiply both sides by3/4
36 * 3/4 = r
r = 27
Please give real answers with an explaination. I will give brainliest + 5-star rate. No Docs/No Files/No Links only answer with explaination.
Answer:
128.57 degrees per each interior angle
Step-by-step explanation:
For interior angles of regular polygons, all you have to do is add 180 degrees to the sum for each side added. For example, from triangle to quadrilateral, you would do 180 + 180 to get 360. Then from quadrilateral to pentagon, you would do 360 + 180 = 540. Do that all the way up to a heptagon and you get a sum of 900 degrees. 900 divided by seven angles will get you 128.57 degrees per interior angle.
Answer:
each interior angle = 128.6°
Step-by-step explanation:
Sum of interior angles of a polygon with n sides = ( n - 2) x 180°
Given n = 7
So, sum of interior angles = ( 7 - 2 ) x 180 = 900°
Given it is regular,
therefore each interior angle :
[tex]\frac{900}{7} = 128.6^\circ[/tex]
Which fraction can be equivalent to -3/2?
1. 3/-2
2. -3/-2
3. -(3/-2)
4. -(-3/2
please help :)
Answer:
its c, the minus makes the positive 3 negative and the neg 2 positive
What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?
Answer:
625 N
Step-by-step explanation:
First, find the area of the square.
Area = side x side
= 5 x 5
= 25 m²
Force = pressure x area
= 25 x 25
= 625 N
Hope this helps!
A confectioner bought 15 chocolates for Rs. 1. If he sold all chocolates at 25% profit, how many chocolates were sold for Rs. 1? please step by step answer without and link or something please
Answer:
He sold 12 chocolates for 1 Re.
Step-by-step explanation:
He bought 15 chocolates for 1 Rupee
He sold for a profit of 25%
Sale price = profit + cost price
SP= 25%of 1 + 1 Re
SP = 0.25*1+ 1
SP = 1.25 Rs
He sold 15 chocolates fro 1.25 Rs
Chocolates Rupees
15 1.25
x 1
Applying cross product
x*1.25= 15*1
x= 15*1/1.25
x= 12
He sold 12 chocolates for 1 Re.
Farah spent $13 on 4 items from the
snack stand at the airport. The
snack stand charges $7 per
sandwiches and $2 per bags of
snack mix. It she purchased a
combination of sandwiches and
snack mix bags, how many of each
food item did Farah purchase?
Answer:
Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$
2+2+2+7=$13
At a birthday party, 50% of the cupcakes are chocolate. If there are 20 chocolate cupcakes, how many cupcakes are there altogether?
will mark brainliest 1st to answer
Answer:
40 cupcakes
Step-by-step explanation:
Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes
Hope I helped!
Happy Pride Month
Answer:
40 cupcakes
Step-by-step explanation:
If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.
In ▵ABC, if m∠A=80 degree, then m∠c cannot be
A) 80 degree
B) 90 degree
C) 95 degree
D) 105 degree
Answer:
95
Step-by-step explanation:
jdisusyhsyysysyydyydyyddhdhhdhhdhhd random
which point lies in the solution set of the inequality 1/2(x+2)+3y<8?
Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:
[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]
To find:
The point lies in the solution set of the given inequality.
Solution:
We have,
[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]
It can be written as:
[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]
[tex]\dfrac{1}{2}x+1+3y<8[/tex]
[tex]\dfrac{1}{2}x+3y<8-1[/tex]
[tex]\dfrac{1}{2}x+3y<7[/tex]
All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).
[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]
[tex]0<7[/tex]
This statement is true. It means (0,0) is in the solution set.
For example (0,3).
[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]
[tex]9<7[/tex]
This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
i think of a number, multiply it by 3, add 4 and square the answer
Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Give the name (monomial, binomial,
trinomial, etc.) and the degree of the
polynomial.
5x3 - x2 + 2
The polynomial, [tex]5x^3 - x^2 + 2[/tex], is a trinomial and the degree of the polynomial is 3.
A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.
The given polynomial, [tex]5x^3 - x^2 + 2[/tex], has three terms separated by addition and subtraction symbols, making it a trinomial.
The highest exponent in the polynomial is 3, which determines its degree.
So, the degree of the polynomial is 3.
To learn more on Polynomial click here:
https://brainly.com/question/11536910
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find the inverse of the given function h(x) = 2x-4/3
Answer:
[tex]h^-^1(x)=0.5x+1.5[/tex]
Step-by-step explanation:
Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.
[tex]h(x) = 2x - \frac{4}{3}[/tex]
Inverse operations,
[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]
Simplify,
[tex]0.5(h(x))+1.5=x[/tex]
Write in inverse function notation,
[tex]h^-^1(x)=0.5x+1.5[/tex]
. A study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Among the cases, 1293 had used artificial sweeteners in the past, while 1707 had never used artificial sweeteners. Of the controls, 855 had used sweeteners and 2145 had not. a. What is the exposure and what is the disease
Answer:
Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.
The disease is bladder cancer.
Explanation:
Calculate odds for exposed group =
1293 with bladder cancer had used artificial sweeteners in the past/
855 without bladder cancer had used sweeteners= 1.51
Calculate odds for not exposed group=
1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795
Odds ratio=odds for exposed group/odds for not exposed group
= 1.51/0.795
= 1.899
Therefore exposed group has two times the odds of bladder cancer than not exposed group.
What is the probability of getting a tails, vowel and an even number?
Answer:
[tex]\frac{1}{15}[/tex]
This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel: [tex]\frac{1}{3}[/tex]
Even number: [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
What is the slope of the line that contains these
points?
х 5 6 7 8
y -3 -1 1 3
If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order
Answer:
1. 8:15
2. 6
3. 32
4. 12.4
I don’t wanna get wrong
Answer:
I think the answer is yes
Multiply x by 12 to get y
how would i graph -2≤x<4
Answer:
Step-by-step explanation:
Like that on the graph but on the x axis
Answer:
I hope this helps!
Step-by-step explanation:
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74
Answer:
The answer I'd the option D
