A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the
function is h(t) = 16t^2 – 100.
A)t = 2.5 seconds
B)t = 6.25 seconds
C)t = 10 seconds
D)t = 12.5
Answer:
A
Step-by-step explanation:
the rock lands when it reaches height 0.
so, for what t is h(t) = 0 ?
16t² - 100 = 0
16t² = 100
now we pull the square root on both sides (we can ignore the negative solutions, as negative seconds don't make any sense in our scenario)
4t = 10
t = 10/4 = 5/2 = 2.5 seconds
so, A is correct.
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
8
Step-by-step explanation:
PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!
Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndre‘s net worth.
ASSETS
- current value of the hair salon: $180,000
- current value of car: $12,500
- checking account balance: $1,300
- combined savings: $18,000
- balance in retirement account: $30,000
- current value of owned electronics: $20,000
LIABILITIES
- remaining balance on mortgage: $120,000
- remaining balance on personal loan: $4,600
- combined credit card debt: $23,000
Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.
What is the net worth?Net worth is the value of the assets less the liabilities.
Net worth = assets - liabilities
Assets = $180,000 + $12,500 + $1,300 + $18,000 + $30,000 + $20,000= $261,800
Liabilities = $120,000 + $4,600 + $23,000 = $147,600
Net worth = $261,800 - $147,600 = $114,200
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13. What is the equation in standard form of the circle
represented by
x2 + y2 - 10x - 6y = 23?
A (x+5)2+(y + 3)2 = 23
B. (x + 5)2+(y + 3)2 = 57
C. (x-5)+(y - 3)2 = 23
D. (x - 5)2+(y - 3)2 = 57
The standard form of a circle shows the center and the radius
The equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57
How to determine the equation?The standard equation of a circle is:
(x - a)^2 + (y - b)^2 = r^2
Where:
Center= (a,b)
Radius = r
Assume that:
(a,b) = (-5,3)
r = [tex]\sqrt{[/tex]57
The equation of the circle would be:
(x + 5)^2 + (y - 4)^2 = ([tex]\sqrt{57[/tex])^2
Evaluate the exponent
(x + 5)^2 + (y - 4)^2 = 57
Hence, the equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57
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A university class has had 8 graduate students enroll so far, as well as 8 other students. Considering this data, how many of the next 12 students to enroll should you expect to be graduate students?
If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
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Please help I am not understanding
Answer:
12.39cm
Step-by-step explanation:
cos 25°=AB/12.5
AB=12.5 cos 25°
cos 25°=0.9912
AB=12.5×0.9912
=12.39cm
Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 the table shows his earnings each day how much money does he earn each day babysitting
Answer:
$5.71 a day
Step-by-step explanation:
240/6 = 40
40/7 = 5.71428571429
Round 5.71428571429 = 5.71
You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answer:12/13
Step-by-step explanation:12/13
Which subtraction equation shows how to subtract
4
2
12
−
2
8
12
using equivalent fractions?
A.
42
12
−
28
12
B.
18
12
−
22
12
C.
50
12
−
32
12
D.
48
12
−
24
12
How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.
A taxi ride cost a flat fee of 4. 00 plus an additional 1. 25 per mile how many mile would a person travel if they paid 19. 0
Answer:
12 miles
Step-by-step explanation:
19 - 4 = 15
15/1.25 = 12
A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
WILL GET BRAINLIEST!!!!!!
Answer:
d=8
e=11.31
Step-by-step explanation:
side8 and side(d) are the same length
8squared+8squared=128
[tex]\sqrt{128}[/tex]=11.31
hope this helps!
Answer:
d = 8 and e = 8√2 ( e = 11.31 do the nearest hundredth)
Step-by-step explanation:
This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2
So d = 8
and
e = 8√2.
Please Help! will Give Brainlest!
Answer:
tan ¤ = opp/adj
tan ¤ = 20/50
since opposite of the angle is 20, height of the tree is 20 feet.
Ans : D
Answer:
height : 20distance : 50Explanation:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]
using the equation, we can identify that ↓opposite ( the height of the tree ) is 20adjacent ( the distance ) is 50Which graph represents the function f(x) = - |x - 2| - 1?
Answer:
nsgs6
68÷9
02_3
73929
Step-by-step explanation:
8282×627=628373
Answer:
i hope this helps you!
Step-by-step explanation:
Fill in the table using this function rule.
-
y=6x-1
х
у
1
4
5
10
0
Answer:
Below
Step-by-step explanation:
According to a website, ebra
Solve for
N
by cross multiplying.
N
=
5
Tap to view steps...
Solve for s
Isolate the variable by dividing each side by factors that don't contain the variable.
s
=
8
r
−
5
t
Tap to view steps...
Solve for x
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
−
6
Interval Notation:
(
−
6
,
∞
)
Tap to view steps...
Solve by Substitution
Move all terms that don't contain
x
to the right side and solve.
x
=
9
2
−
y
2
Tap to view steps...
3/31/2022 4:07 PM
How can I help you?
Tap to view tutorial...
Find the Function
Find the function by taking the integral of the derivative.
G
(
x
)
=
5
2
x
2
−
x
+
C
Tap to view steps...
How was this solution?
Tap to rate...
Find the Function
I am unable to solve this problem.
Tap for examples...
Tired of typing? Download the app to take a picture of your problems!
Find the Function Rule
The chosen topic is not meant for use with this type of problem. Try the examples below.
x
q
(
x
)
1
1
2
2
3
3
4
4
x
q
(
x
)
1
3
2
6
3
11
4
18
x
q
(
x
)
1
2
9
162
2
8
8
128
3
18
Find the value of x.?
Your answer is ≈ 19
Step-by-step explanation:
180 - 124 = 56
56 / 3 = 18.66666666666667
18.66666666666667 round it up...…
19
X = 19
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
PLEASE HELP What is the area of the trapezoid?
Answer:
Step-by-step explanation:
[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]
a and b are the length of the parallel sides.
a = 8 + 4 + 4 = 16 in
b = 8 in
h = height = 6 in
[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]
The numbers in the triangles below go together following the
4
9
8
7
3
2
6
Find the missing number.
A 1
B 3
Answer:
1
by looking only 1 is missing
2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft
None of the above. To form a standard triangle, all 3 sides must be of equal length.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days. How many milligrams of a 7 mg sample will be left after 127 days? round to the hundredths place
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
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Please I really need help!? NOW!! Will give brainest!!
Answer:
the figure is a rectangle with a side of trapezium
according to my calculation the answer is
196m²
explanationArea of trapezium =½(10+8)×4=36
Area of rectangle =10×16=160
add=160+36
therefore the answer is 196m²Which of the following statements is equivalent to P (z greater-than-or-equal-to 1. 7)? P (z greater-than-or-equal-to negative 1. 7) 1 minus P (z greater-than-or-equal-to negative 1. 7) P (z less-than-or-equal-to 1. 7) 1 minus P (z less-than-or-equal-to 1. 7).
This [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
It is given that the [tex]\rm P(Z\geq 1.7)[/tex]
It is required to find which statement is equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
The statements are:
[tex]a) \ \rm P(Z\geq -1.7)\\b) \ \rm 1-P(Z\geq -1.7)\\c) \ \rm P(Z\leq 1.7)\\d) \ \rm 1-P(Z\leq 1.7)[/tex]
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have the [tex]\rm P(Z\geq 1.7)[/tex]
We know that:
[tex]\rm P(Z\leq a)=P(Z\geq -a)\\\rm P(Z\geq a)=P(Z\leq -a)[/tex]
If we compare statement (a) and statement (c), we will see these options are not equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
For statement (b) if we plot the graph for the given statement we will get the negative area of the bell curve hence it is also incorrect.
For statement (d) if we plot the graph for the given statement we will get the positive area which is equivalent to the [tex]\rm P(Z\geq 1.7)[/tex]
Thus, the [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
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What is question c in the question?
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
Use the equation from the previous problem to predict the price of bzg stock on day 30.
Answer:
925.798
Step-by-step explanation:
1.65(x) x 18.703 = 925.798
Describe how to find the sale price of an item that has been discounted 15%.
Answer:
Convert 15% to a regular number by moving the decimal 2 times to the left so 15.0 becomes 0.15 then do 0.15 × the original price, then take the original price and subtract the amount you got from doing 0.15 × the original price
What is the answer to this equation
3 1/2 - 27/8
Answer:
1/8
Change 27/8 into a mixed number 3 3/8
Answer: 1/8
Step-by-step explanation: I explain in the photo ! have a good day
Please help!
Find the value of x. Round to the nearest tenth for numbers #19.
Find the value of x. Round to the nearest degree # 23 & #27.
-Answer the last question :)
LAST QUESTION: The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
The values of x in the triangles are 21.4 units, 58 degrees and 66 degreesThe angles in the rhombus are 44 and 46 degrees, respectivelyHow to determine the values of x?Triangle 1
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
Triangle 2
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
Triangle 3
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
How to calculate the angles of the rhombus?The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
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