Answer:
aaaaaaaaaaaaaaaaa
Step-by-step explanation:
In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
Answer:
(a) h(t) = 3
(b) time = 1.36 seconds
Explanation:
equation: h(t) = -16(t)² + 24t
Part AIf the fielder catches the ball at the height of about 3 ft.
equation: h(t) = 3Part Busing graphing technology, graphed below. (height, y = 3)
Additional *solving part B algebraically*
-16(t)² + 24t = 3
-16(t)² + 24t - 3 = 0
using quadratic equation
[tex]\bold{x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ when \ ax^2 + bx + c = 0}[/tex]
==================================
[tex]\sf t_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\left(-16\right)\left(-3\right)}}{2\left(-16\right)}[/tex]
[tex]\sf t=\frac{3-\sqrt{6}}{4}, \ t=\frac{3+\sqrt{6}}{4}[/tex]
t = 1.36 seconds and 0.14 seconds
The fielder shall catch the ball when the ball is falling, so time : 1.36 s
Answer:
See below ~
Step-by-step explanation:
a. Equation
In place of h(t), substitute 3 in its place3 = -16t² + 24tRearrange by bringing 3 to the other side-16t² + 24t - 3 = 0b. Finding the duration of the kickball in air using graphing technology
Based on the graph (attached), the ball has been in the air for :1.5 seconds
A road-roller levels 3000m of road in 4hours How many metres does it level in a 24 hourday? please help me
Answer:
18,000 meters
Step-by-step explanation:
We know:
v = 4 and t = 24Substitute:
{ v = 4 ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24
{ t = 24
Cross out the common factor:
⇒ 6 × 3000
Calculate the product or quotient:
⇒ 18,000
Which is a stretch of an exponential decay function?
Answer:
The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is the initial value and b is the growth factor.
If b<1, then it represents a decay function and if b>1, then it represents a growth function.
Let k be a stretch and compression factor.
[tex]g(x)=kf(x)[/tex]
If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.
In third function
[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]
[tex]k > 1[/tex]
[tex]b < 1[/tex]
Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
1.7 cm
Step-by-step explanation:
The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.
1) Substitute the values into the formula.
[tex]2^{2} = 1^{2} +b^{2}[/tex]
2) Solve for [tex]b[/tex].
[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]
3) Round the answer to the nearest tenth.
[tex]1.7 = b[/tex]
Ben had two copies of the same poster in different sizes. Both posters are in the shape of a square. The side length of the two posters is in the ratio of 3:7. If the perimeter of the smaller poster is 27 cm, what is the perimeter of the bigger poster?
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question states that a person named Ben has two copies of the same poster having different sizes , provided they both are squares !
further , we've been given that the side length of the posters are in the ratio of 3:7 and the perimeter of the smaller posted is 27 cm .
We've been asked to find the perimeter of the bigger poster !
so let's start ~
[tex]let\: the \: length \: of \: the \: smaller \: poster \: be \: 3x \\ \\ let \: the \: length \: of \: the \: bigger \: poster \: be \: 7x \\ \\ now \: , \: \\ \\ perimeter \: of \: square = 4 \times side \\ \\ \implies \: perimeter \: of \: shorter \: square = 4 \times 3x \\ \\ \implies \: 27 = 3x \\ \\ x = \cancel\frac{27}{3} \\ \\ \implies\red{\boxed{ \: x = 9 \: cm}}[/tex]
now ,
[tex]side \: length \: of \: bigger \: square = 7x \\ \\ \implies \: 7 \times 9 = 63 \: cm \\ \\ \therefore \: perimeter \: of \: bigger \: square = 4 \times 63 \\ \\ \bold\pink{\implies \: 252 \: cm}[/tex]
hope helpful :D
5.
What is the area of the shaded region?
10 m
12 1
14 m2
134 m2
C
120 m-
D
106 m-
Answer:
D. 106m2
Step-by-step explanation:
ok so I'm bad at Circumference and stuff can someone tell me the answer
Answer:
r=2.5
Step-by-step explanation:
with a diamter of 5 you divied it by 2 to get the answer which would be 2.5
The p-value is a probability that measures the support (or lack of support) for neither the null nor the alternative hypothesis. either the null or the alternative hypothesis. the alternative hypothesis. the null hypothesis.
The true statement is that the p-value is a probability that measures the support (or lack of support) for the null hypothesis.
How to determine the true statement?In a statistical test, the p-value validates or invalidates the null hypothesis
This means that
If p > α, then we accept the null hypothesisOtherwise, the null hypothesis is rejectedSo the true statement about the p value is that it measures the support (or lack of support) for the null hypothesis.
Read more about p-values at:
https://brainly.com/question/13786078
Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m
Answer:
Step-by-step explanation:
The table shows what 200 randomly selected customers ordered for dinner at a restraint. Based on the table, how many of the next 30 customers will probably order lobster?
It's impossible to answer this without the table...
Answer:
12
Step-by-step explanation:
set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.
What number is a reasonable estimate for 5,664 + 8,622
Answer:
Step-by-step explanation:
A reasonable estimate could be 14,300, or 14,000, or also you could do 14,290
write an equation that is parallel to 2x-3y=15 that passes through the point (9,-5)
Stan has a Homeowner’s Insurance policy on his house. He decides to build a garage. He needs to take out a building permit for the garage which costs $125. He also needs to update his Homeowner’s policy to include other structures on the property since he does not have any other buildings but his house currently. The cost for this is $245. Stan has $20,000 saved, and the garage price is $19,700. How much more will Stan need to cover the cost of the garage with permit and insurance included?
Answer:
$70
Step-by-step explanation:
The additional amount Stan needs will be the difference between his expected costs and the amount he has saved.
__
Costs$19,700 +125 +245 = $20,070
Needed$20,070 -20,000 = $70
Stan will need $70 more to cover the cost of the garage, permit, and insurance.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
27:63
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
expressing the ratio as a fraction, that is
27 : 63
= [tex]\frac{27}{63}[/tex] ( cancel numerator/ denominator by 9 )
= [tex]\frac{3}{7}[/tex] ← in simplest form
They are ordering 120 pounds of seafood for the week. How many should be fish?
Answer: 43.2
Step-by-step explanation: 100% = 120pounds
36% = 120/100 × 36/1
NEED HELP I WILL GIVE 50. THIS IS MATH
Answer:
68!
Step-by-step explanation:
Side c (side a being 32, and side b being 60) is equal to 68.
I like to use the Omni calculator for figuring out the missing side of the triangle (website)
hope this helps:)
What is the mode?
8 ,9 ,10 ,9 ,8 ,10 ,10
Answer:
10Step-by-step explanation:
The mode is the value in a data set which is the most frequently repeated.
In this case, 10 repeats 3 times, 9 and 8 each repeat twice.
Therefore, 10 is the mode.
Answer:
10
Step-by-step explanation:
Mode means which of the numbers you see more like 8 ,9 ,10 ,9 ,8 ,10 ,10
in this you can see 10 more often then you see the others
Please let me know the answer to 6*6
Answer:
6*6=36
Step-by-step explanation:
simplify the expression
There are 18 gallons of gas in a car at the
beginning of a trip. Each hour into the trip,
2.5 gallons are used. Write an equation to
represent the gas left in the car atter each
hour into the trip. Identify your variables.
Answer:
18/2.5 = 7.2
Step-by-step explanation:
Since there are 18 gallons at the beginning of the trip you divide by 2.5 to find out how much gas is left after each hour.
Using the minimums in the table, is the sample minimum an unbiased estimator?
Yes, 15 occurred the most in the sample minimums.
Yes, the minimum of the sampling distribution of the minimums is 15.
No, 60% of the possible minimum values of the samples is more than 15.
No, the mean of the sampling distribution of the sample minimums is 16, which is not 15.
The sample minimum isn't an unbiased estimator as D. The mean of the sampling distribution of the sample minimums is 16, which is not 15.
What is a sampling distribution?A sampling distribution simply means a probability distribution that is obtained from a larger number of samples drawn from a population.
From the complete question, the sample minimum isn't an unbiased estimator as the mean of the sampling distribution of the sample minimums is 16, which is not 15.
In this case, the minimum of the ages of the officer is 15.
Learn more about sampling on:
https://brainly.com/question/24466382
if a=3 and b=-4 find the value of (a-ab)
Avani has 5 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?
First, how many ways are there for the 1st poster?
It can be the first, the 2nd, the 3rd, the 4th, or the 5th.
How many ways are there for the 2nd poster?
there are 4 ways, because one of them is occupied by the first poster
There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.
Multiply the number of ways together : 120 ways
These are the ways we can arrange the 5 posters ↓
[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]
We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...
Overall, believe it or not, there are 120 ways to arrange these 5 posters.
A quick way to calculate this is
5!=5*4*3*2*1
120
Number of ways ↓120
hope helpful ~
There are 120 different ways the posters can be arranged in a row
How many different ways can the posters be arranged in a row?from the question, we have the following parameters that can be used in our computation:
Number of posters = 5
This means that
n = 5
The different ways the posters can be arranged in a row is calculated as
Ways = n!
So, we have
Ways = 5!
Expand
Ways = 5 * 4 *3 * 2 * 1
Evaluate
Ways = 120
Hence, the number of ways is 120
Read mroe about permutation at
https://brainly.com/question/1216161
#SPJ3
Solve this problem.
348-3435+847
Answer:
3934Step-by-step explanation:
PLS MARK BRAILIESTAnswer:
-2240
Step-by-step explanation:
1. 348-3435 = -3087
2. -3087 + 847 = -2240
(x-1)2-8=16 in radical form
Answer:
x=13
Step-by-step explanation:
Which graph shows a line with an x-intercept of -5?
Answer:
The answer is A.
Step-by-step explanation:
The only option is A. since an intercept of (-5,0)
Option B has y-int: (0,-5)
Option C has y-int: (0,5)
Option D has x-int(5,0)
If the measures of two interior angles of a triangle are 25° and 84º, what is the measure of the third
angle?
Answer: The measure of the third angle would be 71
Step-by-step explanation:
Please help thank you :) (30 points)
Answer:
True, Vertical, equal, equal, equal
Step-by-step explanation:
Just change only the second fill-in to "vertical angle" see image.
A stadium cost £600 million.
13/15 of this cost was for the building.
The rest of the cost was for the land.
Work out the cost of the land
If 13/15 was building then that means 2/15 was land( 1-13/15 = 2/15)
Multiply the total cost by 2/15
600 million x 2/15 = 80 million
the land cost 80 million
Combine the like terms and rewrite this expression:
2n+4z+6-n+10z-4
Answer:
n+14z+2
Step-by-step explanation:
2n+4z+6-n+10z-4
2n-n+4z+10z+6-4
=n+14z+2