Given:
The height h of an object after t seconds is
[tex]h=-16t^2+48t+210[/tex]
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
[tex]h=-16t^2+48t+210[/tex]
Here, t is the time in seconds.
For t=-2,
[tex]h=-16(2)^2+48(-2)+210[/tex]
[tex]h=-64-96+210[/tex]
[tex]h=50[/tex]
For t=5,
[tex]h=-16(5)^2+48(5)+210[/tex]
[tex]h=-400+240+210[/tex]
[tex]h=50[/tex]
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
I swear, my brain can’t process how this go at all. Someone pls help T^T
PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)
Answer:
y = 3x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - 3x = 4 ( add 3x to both sides )
y = 3x + 4 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = 3x - 3 ← equation in slope- intercept form
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48.
Answer: she is wrong
Answer: her friend was wrong
Step-by-step explanation:
Jane’s friend found that 20% of 40 is 8. Then she added $8 to the sale price: 40 + 8 = 48. Then she determined that the original amount was $48.
b. Is her friend correct? Why or why not?
Jane’s friend was incorrect. Because Jane saved 20%, she paid 80% of the original amount, so that means that 40 is 80% of the original amount.
0 20% 40% 60% 80% 100%
0 10 20 30 40 50
Lauren has gross pay of $765 and federal tax withholdings of $68. determine lauren's net pay if she has the additional items withheld: social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 22% of her federal tax a. $691.52 b. $666.21 c. $636.98 d. $623.52 please select the best answer from the choices provided a b c d
Lauren's net pay after deductions will be equal to $623.52
What will be the net pay of Lauren?The net pay of the Lauren will be calculated as
The gross pay is = $ 765
The Federal tax = $68
Social security tax on gross pay 6.2%= [tex]SST=765\times 0.062=47.43[/tex]
Medicare tax on gross pay 1.45%= [tex]765\times 0.0145=11.09[/tex]
State tax on federal tax holdings 22% =[tex]68\times 0.22=14.96[/tex]
Now the net pay will be
[tex]=765-68-47.43-11.09-14.96=623.52[/tex]
Thus Lauren's net pay after deductions will be equal to $623.52
To know more about saving and investment follow
https://brainly.com/question/11750315
Someone please help!!
Answer:
Vertex is (-1/4, -81/8)
Step-by-step explanation:
Does that help any?
James knows that when he walks, he takes about 120
120
steps per minute and that each step is 2.75
2.75
feet long. Which calculation is most reasonable for James to use to find out his walking speed in miles per hour?
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
[tex]19800feet=\frac{19800}{5280} miles=3.65miles[/tex]
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
19800feet=\frac{19800}{5280} miles=3.65miles19800feet=
5280
19800
miles=3.65miles
hence speed of James= (distance covered by james in 1 hour)/1 hour
The Stock Market Madia sa stockbroker. She was 14 commission each week Last week she sold 56,800 worth of stocks. How much did she make last week
commission she averages that same amount each week how much did she make in commission in 2011
Last week she made sin commission
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Answer:
What is a appropriately
What is a Procedure
What is a Enthusiasm
What is a Conflict
What is a Technique
What is a Obtain
What is a conflict management
.... itz wrong
1.)3.3÷0.3=
I need help to slove this answer
3.3 ÷ 0.3
3.3 = 33/10
0.3 = 3/10
33/10 ÷ 3/10 = 11
What is the missing reason in the following proof?
Given: BC=AD, AB=DC
Prove: BE=ED
Answer:
bc=ad
Step-by-step explanation:
A pack of cinnamon scented pencils sell for $4.00 what is the sales tax rate if the total cost of the pencils is $4.32
Answer:
8%
Step-by-step explanation:
To get the answer we can use proportion. We know that 4$ its 100% and 4.32 its 100% + taxes.
4$ ---------- 100%
4.32 -------- x
cross multiply now
4x=4.32*100%
4x=432% /:4
x=108%
We know that 4.32 its 100% + taxes=108% so to get taxes we have to subtract 108-100.
108%-100%=8% - its the answer.
Answer:
8%
Step-by-step explanation:
$4 represents the sale price
4.32 - 4 =$ .32 represents the sale tax
Tax rate is the percentage $ .32 out of $4.
4 is 100%
.32 is x%
Cross multiply to find x, and divide by 4
x= (.32·100) / 4
x = 8
The tax rate is 8%.
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.
Answer:
4:3 for 4 cups of butter there are 3 cups of water
Step-by-step explanation:
An angle measures 66° more than the measure of its complementary angle what is the measure of each angle
Answer:
The measures of the two angles are 12° and 78°
Step-by-step explanation:
Let us explain what is the complementary angles
Two angles are complementary if the sum of their measures is 90°
Example:
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{24}{2}[/tex]
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
Answer:
12 and 78
Step-by-step explanation:
Let us explain what is the complementary angles
Two angles are complementary if the sum of their measures is 90°
Example:
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.
Group of answer choices
2 months
33 months
1 month
3 months
Answer: 3
Step-by-step explanation:
write a quadratic function f whose only zero is 7
well, we know is a quadratic, namely of degree 2, so it has two solutions and namely two factors, and whose only zero is 7, well, we can do that by giving that only zero a multiplicity of 2, so we get two of the same zero.
[tex]\begin{cases} x=7\implies &x-7=0\\ x=7\implies &x-7=0 \end{cases}\qquad \implies \qquad \begin{array}{llll} \stackrel{\textit{multiplicity of 2}}{(x-7)(x-7)}=\stackrel{0}{y} \\\\\\ x^2-14x+49=y \end{array}[/tex]
The quadratic function would be x² + 14x + 49 f whose only zero is 7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The standard quadratic function is given by ax² + b x + c = 0.
We know that is a quadratic of degree 2, so it has two solutions and two components, and its only zero is 7,
⇒ x = 7 and x = 7
⇒ x - 7 and x - 7
Thus, we can accomplish that by multiplying that singular zero by two, so we obtain two of the same zero.
⇒ (x - 7)(x - 7)
⇒ (x - 7)²
⇒ x² + 7²+ 2 × 7 × x
⇒ x² + 49 + 14x
⇒ x² + 14x + 49
Therefore, the quadratic function would be x² + 14x + 49.
Learn more about the quadratic function here:
brainly.com/question/14083225
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The slope of the line passing through the points (-2,6) and (4,6) is
Answer:
0
Step-by-step explanation:
please help determine if these are functions and explain why or why not
Answer:The first is a function but the second isn’t.
Step-by-step explanation: The numbers in the first circle (domain) should only point to one number in the second circle (range). Meaning the domain should only have one arrow for it to be a function. Therefore the first problem is a function, but the second problem is not. For
example, in the first problem, the 0 is only pointing to one number, the 2. However, in the second problem the 6 is pointing to two different numbers, the 3 and the 5. -Let me know if this helps you or if you want me to explain it more. Hope this helps! :)
A skydiver was directly above a ferris wheel when he jumped out of the plane. His friend was watching at the landing field and looking up at the airplane at an angle of 50°. The friend’s eyes were 5.5 feet above the ground when looking up, and he was standing 1050 ft from the ferris wheel. How high was the skydiver when he jumped?
Using the slope concept, it is found that the skydiver has at a height of 1257 ft when he jumped.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of x - 5.5, in which x is the skydiver's height.The horizontal change is of 1050 ft.The angle is of 50º.Hence:
[tex]\tan{50^\circ} = \frac{x - 5.5}{1050}[/tex]
[tex]x - 5.5 = 1.19175359259 \times 1050[/tex]
[tex]x = 1257[/tex]
The skydiver has at a height of 1257 ft when he jumped.
More can be learned about the slope concept at https://brainly.com/question/18090623
HELP ASAP
Slwoowownjjsaaasmjazzjssj
Answer:
14
Step-by-step explanation:
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In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 14 B. 113 C. 17 D. 48
Answer:
The number of heating degree days is 17 (option c).
Step-by-step explanation:
You know that the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.
You know that the high temperature for a day was 51°F and the low temperature for the same day was 45°F.
The mean, also called the average or arithmetic mean, is a measure of central position. In general, the average is calculated by adding all the figures or values presented and dividing them by the total number of values. So, in this case, the average of the high and low temperatures for the day is:
[tex]\frac{51 F + 45 F}{2}= 48 F[/tex]
The number of heating degree days can be calculated by:
H= 65°F - 48°F
H= 17 °F
The number of heating degree days is 17 (option c).
Select the correct answer in each of the following
Answer:
A, A and A
Step-by-step explanation:
Given
y = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
The graph here is a maximum, thus a < 0 → A
--------------------------------------------------------------------
The value of c is the y- intercept of the graph ( when x = 0 )
Since the y- intercept is below the x- axis then c < 0 → A
--------------------------------------------------------------------
The solutions to the equation are where the graph crosses the x- axis ( y = 0 )
Since the graph crosses the x- axis to the left of the y- axis, then
both solutions are negative → A
what is the slope of a line passing through the points (-7,-2) and (5,-6)
Answer:
-4/12
Step-by-step explanation:
This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily
An art collector buys a replica of a famous sculpture. The replica has exactly the same shape as the original but is smaller. The replica is 25 cm tall, and the original sculpture is 30 cm tall. If 500 cm of bronze was needed to make the replica, how much bronze was needed to make the original sculpture?
Answer:
600cm³
Step-by-step explanation:
30/25=1.2
1.2×500=600
Find the value of the variable in the parallelogram.
RZ = 4x+8
SW=9x - 11
x=. (Simplify your answer.)
Can anyone helps me with this question. Look at the numbers ; 2,8,7,6,8,3,8. Find the
Mean
Median
Mode
Range
Answer:
1. Mean:
6
2. Median:
7
3. mode:
8
range:
6
Explanation:
Mean:
To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4
The number of numbers there is 5 so I added these numbers and divide them by 5.
Median:
To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5
The middle number is 3 as u can see there
Mode:
In the mode, you find the number that appears the most.
for eg: 1,3,3,4,5
The number appearing here the most is the 3
Range:
you minus the highest number from the lowest number
eg: 1,2,3,4,5
5-1 is 4 so the answer for the range is 4
do not delete bc i need help
Replace n and m with their given values and solve:
4 + 6(7) = 4 + 42 = 46
Answer: 46
Answer:
46
Step-by-step explanation:
Evaluate the expression [tex]n+6m[/tex] if [tex]m=7[/tex] and [tex]n=4[/tex].
First, replace the variables with their corresponding values.
[tex]n+6m[/tex]
↓
[tex]4+6(7)[/tex]
Now, solve.
According to PEMDAS, we have to do the paratheses and multiplication first.
[tex]6(7)=6*7\\6*7=42[/tex]
Now add 4 and 42.
[tex]4+42=46[/tex]
The solution to the equation is [tex]46[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Can someone please answer the attachment
Answer:
See below.
Step-by-step explanation:
20. YES
21. NO
22. NO
23. NO
Dave and Bonnie each made a
table of values for the equation
y = 1/2x - 2 Dave said his table
is correct. Bonnie said her
table is correct. Who is
correct? Explain your answer.
ILL PUT YOU AS BRAINLIEST
Answer:
Both tables are correct.
Step-by-step explanation:
The equation given is y = [tex]\frac{1}{2}[/tex] x - 2. When you replace x with each value given from Dave's table, the y values will be those given.
-4 = [tex]\frac{1}{2}[/tex] (-4) - 2
-3 = [tex]\frac{1}{2}[/tex] (-2) - 2
-2 = [tex]\frac{1}{2}[/tex] (0) - 2
-1 = [tex]\frac{1}{2}[/tex] (2) - 2
When you use the values given in Bonnie's table, the equations are also all true.
0 = [tex]\frac{1}{2}[/tex] (4) - 2
2 = [tex]\frac{1}{2}[/tex] (8) - 2
4 = [tex]\frac{1}{2}[/tex] (12) - 2
6 = [tex]\frac{1}{2}[/tex] (16) - 2
what's the answer?????????????????????????????
Answer:
answer is 248/21
Step-by-step explanation:
u should multiply the mixed numbers together.
ur welcome:)
Helpppp meeee question 1 pleaseee !!!
Answer:
2 0 -2 -4
Step-by-step explanation:
pls give brainliest
Answer:
2,0,-2,-4
Step-by-step explanation:
For example
-2 x -3 = 6
6 - 4 = 2
-2 x -3 - 4 = 2
-2x - 4
PLEASE HELP NEEDED ASAP WILL GIVE BRAINLIEST IF RIGHT!!! (GEOMETRY)
Find the measures of the complementary angles that satisfy each case. The angles have equal measure.
Answer:
it is 26 smaller or 64 bigger
Step-by-step explanation:
Answer:
need more information to solve..