Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm
Help ASAP ♂️yes or no explanation
Answer:
yes
Step-by-step explanation:
What is the factored form of 250x3 − 16?
Answer: 2(5−2)(25^2 + 10 + 4)
Step-by-step explanation:
I took a test with the same question and got it right. Hope this helps
Which one represents a proportional relationship?
Which equation or inequality represents the following description:
A number times six is greater than five times the number plus one.
A. 6x < 5x + 1
B. 6x = 5x + 1
C. 6x > 5x + 1
D. 6x > 5x + 1
Answer:
6x > 5x + 1
Step-by-step explanation:
6 times a number is 6x
is greater than is 6x >
than five time the number is 5x
plus one is 5x +1
all together it is 6x > 5x + 1
Answer: just to give person above brainliest.
Step-by-step explanation:
Which set of data contains two outliers?
113, 115, 103, 114, 109, 111, 119
141, 151, 138, 142, 149, 140, 150
99, 113, 91, 104, 109, 114, 97
101, 135, 131, 99, 138, 136, 140
Answer:
D: 101, 135, 131, 99, 138, 136, 140
Step-by-step explanation:
edg2020 (do not get this confused with the question: "which set contains no outliers"
D
I got it right on the test
15.2·0.25−48.51÷14.7/x = ( 13/44 − 2/11 − 5/66 ÷2 1/2 )·1 1/5 / 3.2+0.8·(5 1/2 −3.25)
Plz answer soon. I need it urgently. Need by today. Will give 15 points.
Answer:
x = 25
Step-by-step explanation:
15.2 * 0.25 - 48.51 ÷ 14.7 = 76/5 * 1/4 - 3.3 = 3.8 - 3.3 = 0.5
(13/44 - 2/11 - 5/66 ÷ 2 1/2) * 1 1/5 = (13/44 - 8/44 - 5/66 * 2/5) * 6/5 = (15/132 - 4/132) * 6/5 = 11/132 * 6/5 = 1/12 * 6/5 = 1/10
3.2 + 0.8 * (5 1/2 - 3.25) = 3.2 + 4/5 * (22/4 - 13/4) = 3.2 + 9/5 = 3.2 + 2.8 = 5
So after doing all this simplifying and stuff we get 0.5/x = 0.1/5. Using the butterfly method the result is 0.1x = 2.5, multiply both sides by 10 and you get x = 25!! Yayy lol
An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
Step-by-step explanation:
Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144
The height of the body on the ground occurs at when f(x) = 0
0 =-16x^2+144
16x^2 = 144
x^2 = 144/16
x^2 = 9
x = 3
The ball reached the ground after 3 secs
The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;
Domain =(-\infty, infty)
The domain of the function is required.
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The function is
[tex]f(x)=-16x^2+144[/tex]
The y intercept of the function is
[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]
[tex](0,144)[/tex]
The y intercept is the maximum height here.
The x intercepts are the points where the object is on the ground.
They are
[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]
[tex](3,0),(-3,0)[/tex]
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The graph of the figure is attached.
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Can you help me with my math ixl
Answer:
b = 72
Step-by-step explanation:
2b - 62 = b-10
Subtract b from both sides!
b -62 = 10
Add 62 to both sides
b = 72
Step-by-step explanation:
since TUVW is a rectangle, VU = WT
b - 10 = 2b - 62
b = 52
Topic: Properties of polygons
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Solve the linear equation
3.4 + 2(9.7 – 4.8x) = 61.2
Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?
Answer:
Tent: $145
Mattress: $65
Step-by-step explanation:
Tent: 2x + 15
Mattress: x
2x + 15 + x = 210
3x + 15 = 210
3x = 195
x = 65
Tent: 2x + 15 = 2(65) + 15 = 145
Mattress: x = 65
Steve draws a line from (-2, -6) to (3, 9). Approximately how long is the line he draws?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let : A = ( - 2 , - 6 ) & B = ( 3 , 9 )
[tex]d = distance \: \: between \: \: points \\ [/tex]
[tex]d = \sqrt{ ( \: {y(B) - y(A) } \: )^{2} + ( \: { x(B) - x(A) } \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ( \: {9 - ( - 6)} \: )^{2} + ( \: {3 - ( - 2)} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ ( \: {9 + 6} \: )^{2} + ( \: {3 + 2} \: )^{2} } \\ [/tex]
[tex]d = \sqrt{ {15}^{2} + {5}^{2} } [/tex]
[tex]d = \sqrt{225 + 25} [/tex]
[tex]d = \sqrt{250} [/tex]
[tex]d = \sqrt{25 \times 10} [/tex]
[tex]d = \sqrt{ {5}^{2} \times 10 } [/tex]
[tex]d = 5 \sqrt{10} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus Steve draws a line which has a length of 5√10 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELP THIS IS DUE TONIGHT BY TWELVE I DINT KNOW HOW TO DO THIS!!!
Answer:it’s (2,5)
Step-by-step explanation:
The teacher-to-student ratio at a small school was 1:10. After 4 new teachers were added, the teacher-to-student ratio changed to 1:6. How many MORE students than teachers were at the school BEFORE the additions were made?
Answer:
10 more to every 1 teacher i believe
Step-by-step explanation:
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.
what is the slope of (-2,-7),(3,-10)
Answer:
-3/5
Step-by-step explanation:
My work is in the picture I attached
write this equation in word form.
x3 + 1
Answer:
X cubed plus one
Step-by-step explanation:
y=4x+25 find the domain of the function and if it discrete
Answer:
f(x)=xf(x)=x , g(x)=2xg(x)=2x
f(x)=5f(x)=5 , g(x)=xg(x)=x
Step-by-step explanation:
not sure but still,
the function 56-4y=-5x can be used to determine the total amount of money in a coin jar,y,after money is added for x days. what is the rate of change in dollars with respect to the number of days?
Answer:
23
Step-by-step explanation:
does 27 divided by 5 result in 5 and 6
Answer:
27 divided by 5 = 5.4
Step-by-step explanation:
8. If b(x) = -2(x-50), what is the value of
b(20)? Request
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Answer:
$20,232.75
Step-by-step explanation:
I hope it helped
Pls answer these and show work plss
Answer:
25x
Step-by-step explanation:
lunches cost 14.75 per week how much would 13 weeks of lunches cost fast pls
Answer:
it would cost 191.75
Step-by-step explanation:
i just put it in a proportion like this 14.75/1 = ?/13
then i just multiplied 14.75 and 13 i got the resulting answer 191.75
pls mark brianleist
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x Use the drop-down menus to justify Marlena’s work in each step of the process.
Step-by-step explanation:
marlena steps should look like this:
2x + 5 = -10 - x
(minus 5 from both sides)
2x = -15 - x
(add x to both sides)
3x = -15
(divide by 3)
x = -5
Answer:
step 1 addition property of equality
step 2 subtraction property of equality
step 3 division property of equality
Find the equation of the linear function represented by the table below in slope-intercept form.
x- 0 1 2 3 4
y- 9 18 27 36 45
Question: Where is the y2? Please be more specific!
4x^4+35x^2-9=0 solve by factoring
Find the absolute change and the relative change of the number of refugees in the world that increased from 8.7 million in 2005 to 16.1 million in 2015 on percentage.
Answer:
Absolute change = 7.4 million
Relative change percentage = 85.1%
Step-by-step explanation:
Given that:
Number of refugees in 2005 = 8.7 million
Number of refugees in 2015 = 16.1 million
The absolute change :
(Number of refugees in 2015 - number of refugees in 2005)
(16.1 million - 8.7 million) = 7.4 million refugees
The relative change in the number of refugees :
((Number of refugees in 2015 - number of refugees in 2005) / number in 2005) * 100%
[(16.1 - 8.7) / 8.7] * 100%
(7.4 / 8.7) * 100%
0.8505747 * 100%
= 85.057%
= 85.1%
Mabel scored 19 points more on her math test than Nancy. Phoebe scored 10 points less on her math test than Nancy. If Phoebe scored 23 points, how many points did mabel score.
The point that is scored by Mabel will be 52 points.
Based on the information given, since Phoebe scored 10 points less on her math test than Nancy and scored 23 points, then Nancy will have:
= 10 + 23 = 33 points
Since Mabel scored 19 points more on her math test than Nancy, then, the point that is scored by Mabel will be:
= 33 + 19
= 52 points
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