Answer: [tex]4\ feet[/tex]
Step-by-step explanation:
The exercise provides you the following Quadratic function:
[tex]h(t)=4+60t-16t^2[/tex]
Then, based on the information given in the exercise, you can conclude that, when the ball strikes the bat, the time in seconds is the following:
[tex]t=0[/tex]
Therefore, in order to calculate the height in feet of the ball when it strikes the bat, you need to subsititute [tex]t=0[/tex] into the function and then evaluate.
Then, you get this result:
[tex]h(0)=4+60(0)-16(0)^2\\\\h(0)=4+0-0\\\\h(0)=4[/tex]
Farrah bought a new car in 2016 one year later the car had depreciated in value by 2300 and was worth $20,140 find the value of her car when she purchased it in 2016
Answer:
Farrah purchased the car in 2016 at the price of $22,440.
Step-by-step explanation:
Given:
Cost of the car in 2017 = $20,140
Depreciation in the cost after 2016 was = $2300
To find cost of the car in 2016.
Solution:
Let cost of the car in dollars in 2016 be = [tex]x[/tex]
Depreciation in value after a year was by = $2300
Thus, cost of car in dollars in 2017 will be = [tex]Original\ cost-Depreciation\ =x-2300[/tex]
Given cost of car in 2017 = $20,140
So, we have:
[tex]x-2300=20140[/tex]
Solving for [tex]x[/tex]
Adding 2300 both sides.
[tex]x-2300+2300=20140+2300[/tex]
∴ [tex]x=22440[/tex]
Thus, cost of the car in 2016 was = $22,440
When two of the three numbers are added at a time, the possible sums are 32, 39, 23. What is the sum of all three numbers?
Please explain.
Answer:
47
Step-by-step explanation:
Let a, b, and c be those three numbers.
When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let
[tex]a+b=32\\ \\a+c=39\\ \\b+c=23[/tex]
Add these three equations:
[tex]a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94[/tex]
Divide this equation by 2:
[tex]a+b+c=47[/tex]
The sum of all three numbers is 47.
BRAINLIEST!!! 10 POINTS!!
Make a list of the possible outcomes from the table.
Answer: The answer is A my friend.
Step-by-step explanation:
All possible outcomes:
Yellow shirt, white trouser
Yellow shirt, black trouser
Green shirt, white trouser
Green shirt, black trouser
Hope this helps. Please hit the thanks button if it is right. I would appreciate it. :)
how manet times dose 50 go into 1,000
Answer:
20 times
Step-by-step explanation:
1,000 divided by 50 will be 20 try using lone division :)
Answer:
20 times
Step-by-step explanat
in the right triangle shown, angle A=30 and AC=18 how long is AB?
Answer:
[tex]AB=9\sqrt{3}\ units[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
The cosine of angle of 30 degrees is equal to divide the adjacent side to angle of 30 degrees by the hypotenuse
so
[tex]cos(30^o)=\frac{AB}{AC}[/tex]
we have
[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]
[tex]AC=18\ units[/tex]
substitute
[tex]\frac{\sqrt{3}}{2}=\frac{AB}{18}[/tex]
solve for AB
[tex]AB=(18)\frac{\sqrt{3}}{2}[/tex]
[tex]AB=9\sqrt{3}\ units[/tex]
Answer:
T
Step-by-step explanation:
Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis
Answer:
they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.
but you didn't provide the following statements, so i do not know.
The values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)
How does the reflection works?When the graph is reflected over y axis, then all the x coordinates of all points become negation of themselves. It is because those x coordinates who were on the positive sides now are on the negative sides and those who were on the negative side are now on the positive side.
Thus:
(x,y) turns to (-x,y)
Thus, the values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)
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PLZ HELP 5 QUESTIONS FOR 50 POINTS
Answer:
3. 113.04
4. 137.1
5. $9.24
Answer:
3. 113.04
4. 137.1
5. $9.24
The Neolithic Revolution
led people to lead lives based on hunting and gathering
allowed people to live in permanent settlements
reduced people’s need for food and resources
prevented the advance of civilization
i wel give the branlist to howe answers it carect
The Neolithic Revolution allowed people to live in permanent settlements.
Explanation:
The Neolithic Revolution is the phase of transition in which many of the human cultures in the world shifted their lifestyle to permanent settlement and agriculture from hunting and gathering.
This era is also named as First Agricultural Revolution or Neolithic Demographic Transition. The agricultural practices led the cultures to develop the knowledge of domestication of animals and they began to observe and experiment with the plants (to learn or know how they grow and develop).
Neolithic period is named as revolution because this period changed the way of life of most of the communities. This first occurred in so-called "Fertile Crescent" or Mesopotamia (modern Iraq).
The Neolithic Revolution allowed people to live in permanent settlements.
Answer: Option B
Step-by-step explanation:
This phase 'Neolithic Revolution' witnessed the change in the behavior of the people, notably the development of habits like hunting and gathering of animals and fruits.Although it is a development of habits, people refer to it as a revolution because it changed the lifestyle of the communities.It dates back to prehistoric times which is said to have happened almost nine thousand years ago. Thereby concluding that, the Neolithic revolution allowed people to live in permanent settlements.Which situation is modeled by the equation 24 = 15x + 8?
Answer:
Exact form : x = 16/15
Decimal form : x=1.06666666666...
Mixed Number form : x=1 1/15
Step-by-step explanation: Move all term that don't contain x to rightside and solve.
Hope this helps you out.
Answer:
A classroom of 24 students will go on a field trip to a museum. Each student pays $8 to go. So far, 15 of the students have paid to go. How much money, x, will be collected from all 24 students?
Help please I have to do all
Question # 1 (Top Left)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 29°Right angle = 90°The missing side x can be calculated by the formula:
sinФ = opposite ÷ hypotenuse
sin(29°) = x ÷ 3
0.4848 = x ÷ 3
x ÷ 3 = 0.4848
x = 0.4848 × 3
x = 1.45 cm
Hence, x = 1.45 cm is the length of missing side.
Question # 2 (Top Center)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 21°Right angle = 90°The missing side x can be calculated by the formula:
tanФ = opposite ÷ adjacent
tan(21°) = x ÷ 4
0.3838 = x ÷ 4
x ÷ 4 = 0.3838
x = 0.3838 × 3
x = 1.15 cm
Hence, x = 1.15 cm is the length of missing side.
Question # 3 (Top Right)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 66°Right angle = 90°The missing side x can be calculated by the formula:
cosФ = adjacent ÷ hypotenuse
cos(66°) = x ÷ 8
0.4067 = x ÷ 8
x ÷ 8 = 0.4067
x = 0.4067 × 8
x = 3.25 cm
Hence, x = 3.25 cm is the length of missing side.
Question # 4 (Bottom Right)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 29°Right angle = 90°The missing side x can be calculated by the formula:
cosФ = adjacent ÷ hypotenuse
cos(29°) = 3.7 ÷ x
0.8746 = 3.7 ÷ x
x = 3.7 ÷ 0.8746
x = 4.23 cm
Hence, x = 4.23 cm is the length of missing side.
Question # 5 (Bottom Center)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 37°Right angle = 90°The missing side x can be calculated by the formula:
sinФ = opposite ÷ hypotenuse
sin(37°) = 5.1 ÷ x
0.6018 = 5.1 ÷ x
x = 5.1 ÷ 0.6018
x = 8.47 cm
Hence, x = 8.47 cm is the length of missing side.
Question # 6 (Bottom Right)
Step-by-step Explanation:
To determine:
We have to determine the missing side x.
Given:
Given angle = 54°Right angle = 90°The missing side x can be calculated by the formula:
tanФ = opposite ÷ adjacent
tan(54°) = x ÷ 5.9
1.3763 = x ÷ 5.9
x ÷ 5.9 = 1.3763
x = 1.3763 × 5.9
x = 8.12 cm
Hence, x = 8.12 cm is the length of missing side.
Keywords: missing angle, tanФ, cosФ, sinФ, hypotenuse
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PLEASE SOLVE THE QUESTION BELOW
Answer:
There are 4 chairs in one row.
Step-by-step explanation:
Let [tex]$ x $[/tex] be the number of chairs in one row.
That is the length of one row.
Now, from the given data, three rows of length 3x can be formed with one chair left.
Or, if 15 extra chairs given, we can form 7 rows of the same length.
This means that there are [tex]$ 3x + 1 $[/tex] chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be
[tex]$ (3x + 1) + 15 = 7x $[/tex]
Solving this for '[tex]$ x $[/tex]', we get:
[tex]$ 3x + 16 = 7x $[/tex]
[tex]$ \implies 4x = 16 $[/tex]
[tex]$ \implies x = 4 $[/tex]
Therefore, the length of each row is four.
That is, there are four chairs in one row.
Angle X and angle Y are supplementary angles. Angle Y measures 33 degrees. what is the measure of angle X?
Answer: 147
Step-by-step explanation:
Supplementary: Angles that equal 180
180-33=147
147+33=180
The measure of supplement angle X is 147°.
Given that, angle X and angle Y are supplementary angles.
What are supplementary angles?Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other.
Here,
∠X+∠Y=180°
⇒ ∠X+33°=180°
⇒ ∠X=180°-33°
⇒ ∠X=147°
Hence, the measure of supplement angle X is 147°.
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how do you find if these are similar solids?
Step-by-step explanation:
Compare the ratios of their heights, widths, and lengths. If they're the same, then the solids are similar.
10/5 = 2
6/3 = 2
6/3 = 2
The ratios are the same, so the solids are similar.
A line contains the points (4, 2) and (0, -1). What is the equation of the line? Show your work.
Answer:
[tex]\large\boxed{y=\dfrac{3}{4}x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
We have two points (4, 2) and (0, -1) → b = -1.
Calculate the slope:
[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]
Finally:
[tex]y=\dfrac{3}{4}x-1[/tex]
The equation of the line that passes through the points (4, 2) and (0, -1) is y = 0.75x + 1.
Explanation:The subject of this question is Mathematics, and it involves finding the equation of a line given two points. To find the equation of the line that contains the points (4, 2) and (0, -1), we first find the slope (m) using the formula m = (y2 - y1) / (x2 - x1).
Substituting the given points into the formula, we get m = (-1 - 2) / (0 - 4) = -3 / -4 = 0.75.
We then use the point-slope form of a linear equation, y - y1 = m(x - x1), and substituting m = 0.75, x1 = 4, and y1 = 2, we get the equation of our line as: y - 2 = 0.75(x - 4), which simplifies to y = 0.75x + 1.
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if a pint of milk cost $0.76 what is the cost per cup
Answer:
$0.38
Step-by-step explanation:
Since there are two cups in a pint so you divide 0.76 by 2
Answer:
.38 cents
Step-by-step explanation:
Since there are 2 cups in one pint, you have to divided .76 (cents) by 2 and you get .38 (cents)
This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks age and three times Jen's age is 66. How old is Jen?
Age of Jen is 13.6 years old
Solution:
Let "x" be the age of Jack and "y" be the age of Jen
Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen
The above sentence can be written mathematically as:
Jack age + 2 = twice of age of Jen
[tex]x + 2 = 2y\\\\x = 2y - 2---- eqn 1[/tex]
The sum of Jacks age and three times Jen's age is 66
Jack age + three times Jen age = 66
x + 3y = 66 ---- eqn 2
Substitute eqn 1 in eqn 2
2y - 2 + 3y = 66
5y - 2 = 66
5y = 68
y = 13.6Thus age of Jen is 13.6 years old
Can u please help me wit these 2 please I don't get it...
Answer:
0,-9,-5
Step-by-step explanation:
You just purchased 3 pairs of pants for $75.25, $30.95 and $90.35. You also purchased 2 hats for $50 each. The sales tax is 7.5%; what is the amount of your total purchased?
Answer:
$318.79
Step-by-step explanation:
To do this problem, to find the real end amount paid, you must add up all the prices and add the sales tax. To do this, you add them to 296.55, and multiply it by the decimal form of the sales tax added to 1, so 1.075 which is 318.791 rounded to 318.79
Which describes the amount of product a seller is able to make?
A. Market
B. Demand
C. Supply
D. Can’t tell
Answer:
c) supply
Step-by-step explanation:
Answer:
supply
Step-by-step explanation:
plz help I don't want to be awake the whole night
Answer:
Therefore
[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]
Step-by-step explanation:
To Find:
Value of expression
75 ÷ 5 - [( 9 - 7 ) × 3 ] × 2
Solution:
PEDMAS rule
It explains the order of operations to solve an expression.
According to Pedmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.),
then division, multiplication, addition and subtraction from left to right.
P - parenthesis
E- exponent
D/M - Div or Multiply which ever comes first
A/S - Add or Sub which ever comes first.
So first we will solve the Parenthesis we get
Step 1. Parenthesis operation
75 ÷ 5 - [( 2 ) × 3 ] × 2
Step 2. Parenthesis operation
[tex]75\div 5 - [(2)\times 3 ]\times 2[/tex]
Step 3. Division
[tex]15 - [6]\times 2[/tex]
Step 4. Multiplication
[tex]15 - 12[/tex]
Step 5. Subtraction
3
Therefore
[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]
15. Mr. Clements painted his barn for hours in the morning. He painted
the barn for 5 hours in the afternoon. For 154-15c, select True or False
for each statement.
15a. A common denominator of
the mixed numbers is 20.
O True
False
O True
O False
15b. The amount of time spent
painting in the morning can be
rewritten as 3 hours.
False
15c. Mr. Clements spent 2 hours O True
longer painting in the afternoon
than the morning
16. Tom exercised hour on Monday and hour on Tuesday.
Answer:
15a) True 15b) False 15c) True
16)[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]
[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]
Step-by-step explanation:
*Rewriting the question with Retrieved missing information:
15. Mr. Clements painted his barn for hours in the morning. He painted his barn [tex]3\frac{3}{5}[/tex] hours in the morning. He painted the barn for [tex]5\frac{3}{4}[/tex] hours in the afternoon.Select True or False for each statement.
15a. A common denominator of the mixed numbers is 20.
15b. The amount of time spent painting in the morning can be rewritten as [tex]3\frac{15}{20}[/tex]
15c. Mr. Clements spent [tex]2\frac{3}{20}[/tex]
hours longer painting in the afternoon than the morning.
16. Tom exercised:
[tex]\frac{4}{5}[/tex]
hour on Monday and
[tex]\frac{5}{6}[/tex]
hour on Tuesday. Part A. Complete the calculations below to write equivalent fractions with a common denominator.
15a) True
Turning the Mixed Numbers into Improper ones:
He painted the his barn:
[tex]3\frac{3}{5}=\frac{18}{5}[/tex] Keep the denominator, and for the numerator multiply the denominator 5 by 3 and add 3 = 18. (In the morning).
[tex]5\frac{3}{4}=\frac{23}{4}[/tex] (In the afternoon)
The Prime factorization [tex]\frac{23}{4},\frac{18}{5}[/tex] help us to obtain the common denomination, i.e. 20
15b) False
This is a matter of simplification. In this mixed number, the fraction can be simplified this way:
[tex]3\frac{15}{20}=3\frac{15:5}{20:5}\Rightarrow 3\frac{3}{4}[/tex]
15c) True
Subtracting the working hours, knowing the common denominator by prime factorization is 20.
For Mixed Numbers:
[tex]5\frac{3}{4}-3\frac{3}{5}=5\frac{15}{20}-3\frac{12}{20}=2\frac{3}{20}[/tex]
For the same mixed numbers turned into improper fractions:
[tex]\frac{23}{4}-\frac{18}{5}=\frac{115-72}{20}=\frac{43}{20}[/tex]
Notice that:
[tex]2\frac{3}{20}==\frac{43}{20}=2.15[/tex]
16A
Equivalent fractions are fractions multiplied by a same constant, on the numerator and denominator:
[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]
[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]
15a is False as a common denominator isn't clear; 15b is False because the time in the morning is undefined; 15c is True assuming the morning was 3 hours. 16 needs further clarification.
15a ⇒False. To find the common denominator, we need to look at the fractions given. If there are fractions involved, more context is needed to validate this statement. Please provide relevant fractions.15b ⇒False. There is no concrete information given about the exact time spent in the morning to confirm this statement. If he spent 5 hours in the afternoon and the total time spent isn't specified, we cannot conclude the morning time is 3 hours.15c ⇒True. Since he painted for 5 hours in the afternoon, and we assume the morning time to be 3 hours (as per previous interpretations), Mr. Clements painted 2 hours longer in the afternoon (5 - 3 = 2).So, correct answer is 15a. False 15b. False 15c.True
Grandma baked
96
cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c
cc fewer cookies than she would have received had all of the cookies been evenly divided among the
8 grandchildren.
Answer:
[tex]12-c[/tex] Cookies
Step-by-step explanation:
The question is to find how many cookies did Cindy receive (write as an expression)?
Total cookies baked = 96
If evenly divided among 8 grandchildren, each would get:
[tex]\frac{96}{8}=12[/tex]
Each grandchildren would have gotten 12 cookies
Now, Cindy received "c" fewer than this (12), so Cindy received:
12 - c Cookies
Cindy Received = 12 - c Cookies
Answer:
96/8 - c.
Step-by-step explanation:
She is divideing among the grandkids so it would be 98/8-c
Can you spend 1/5 of his allowance on a movie 3/8 on snacks and 2/7 on games if his allowance was $20 how much did Ken have
For this case we assume that the initial amount of money is $20.
So:
[tex]\frac{1} {5}[/tex] of $20 in movies:[tex]\frac {1} {5} (20) = 4[/tex]
[tex]\frac {3} {8}[/tex] of $20 in snacks:[tex]\frac {3} {8} (20) = 7.5[/tex]
[tex]\frac {2} {7}[/tex] of $20 in games:[tex]\frac {2} {7} (20) = 5.71[/tex]
Adding we have:
[tex]4 + 7.5 + 5.71 = 17.21[/tex]
Ken has:
[tex]20-17.21 = 2.79[/tex]
Answer:
Ken can spend what he planned and he has $2.79 left.
To find the quotient of 8 divided by 1/3, multiply 8 by?
Answer:
Multiplying 8 by 3 will give the same quotient.
Step-by-step explanation:
We have to find the quotient of 8 divided by [tex]\frac{1}{3}[/tex], so, we have to follow the following steps.
[tex]8 \div \frac{1}{3} = \frac{8}{\frac{1}{3}} = 8 \times 3 = 24[/tex]
So, it is clear from the above steps that dividing 8 by [tex]\frac{1}{3}[/tex] is equivalent to multiplying 8 by 3.
Therefore, multiplying 8 by 3 will give the same quotient. (Answer)
Answer:
3/4 divied by 8 im sorry if it wrong im not to smart cuz my mom or dad doesnt help me :( and im homeschooled
Step-by-step explanation:
Let b = 7
What is the value of the expression 4b2+b−5 ?
58.....2wt.r3y2teyt3y2.te.32ty.32tye.t32y.tey32t..enkuuhuh
what's 20 times 2 and add 4?
Answer:
20*2 is 40
add 4?
its 44
Answer:
44
Step-by-step explanation:
20 * 2 = 40
40 + 4 = 44
Hope this helps :)
Mark and Henry win some money and share it in the ratio 3:4. Mark gets £27. How much did they win in total?
Answer:
They won [tex]\£63[/tex] in total
Step-by-step explanation:
Let
x ----> Mark's money
y ----> Henry's money
we know that
[tex]x=27[/tex] ----> equation A
[tex]\frac{x}{y}=\frac{3}{4}[/tex] ----> equation B
substitute equation A in equation B
[tex]\frac{27}{y}=\frac{3}{4}[/tex]
solve for y
[tex]y=27(4)/3\\y=36[/tex]
we have that
[tex]x+y=27+36=\£63[/tex]
∫x(x-6)³dx by using substitution u=x-6
Answer:
[tex]\large\boxed{\int\bigg(x(x-6)^3\bigg)dx=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C}[/tex]
Step-by-step explanation:
[tex]\int\bigg(x(x-6)^3\bigg)dx\Rightarrow\left[\begin{array}{ccc}x-6=u\\x=u+6\\dx=du\end{array}\right]\Rightarrow\int\bigg((u+6)u^3\bigg)du\\\\=\int(u^4+6u^3)du=\dfrac{1}{5}u^5+\dfrac{6}{4}u^4+C=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C[/tex]
9.
A wholesaler buys pairs of sunglasses
for $5.50 each. He then marks up the
wholesale cost 80% to create a retail
price for his customers. Customers must
then pay an additional 7% tax on the
retail price. What is the total cost of a
pair of sunglasses to the wholesaler's
customers, including tax, rounded to
the nearest penny?
A customer will pay $10.59, including sales tax, for a pair of sunglasses.
Step-by-step explanation:
Given,
Purchase price of sunglasses = $5.50
Mark up = 80%
Amount of mark up = 80% of purchase price
Amount of mark up = [tex]\frac{80}{100}*5.50=0.80*5.50[/tex]
Amount of mark up = $4.40
Retail price = Purchase price+mark up
Retail price = 5.50+4.40 = $9.90
Sales tax = 7% of retail price
Sales tax = [tex]\frac{7}{100}*9.90=0.07*9.90[/tex]
Sales tax = $0.69
Total paid by customer = retail price + sales tax
Total paid by customer = 9.90 + 0.69 = $10.59
A customer will pay $10.59, including sales tax, for a pair of sunglasses.
Keywords: addition, percentage
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While looking at some reports, a store manager notes that carousel horses that retail for $620 end up costing customers $651 once the sales tax is added. What is the sales tax percentage?
Answer:
[tex]\large \boxed{5.0 \, \% }[/tex]
Step-by-step explanation:
1. Calculate the amount of tax
Total cost = selling price + sales tax
Sales tax = total cost - selling price
Total cost = $651
-Selling price = - 620
Sales tax = $ 31
2. Calculate the percent tax
[tex]\text{\% Tax} = \dfrac{\text{\$31}}{\text{\$620}} \times 100 \, \% = \mathbf{5.0 \, \%}\\\\ \text{The sales tax percentage is $\large \boxed{\mathbf{5.0 \, \% }}$}[/tex]