Answer:
0.64761904761
Step-by-step explanation:
The ratio of the number of boys and girls in a college is 6 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio.
Answer:
Let the initial number of boys and girls be 600 and 800 respectively, so that
(no. of boys) : (no. of girls) = 6:8.
Final number of boys (Fb) = 600+ 20% of 600 = 720
Final number of girls(Fg) = 800+ 10% of 800 = 880
The new ratio = Fb / Fg = 720 / 880 = 9/11 = 9:11
So, the new ratio will be 9 : 11
Let f and g be the functions defined by f(t) = 2t2 and g(t) = t3 + 4t.
1) Determine f'(t) and g′(t).
2) Let p(t) = 2t2 (t3 + 4t) and observe that p(t) = f(t) ⋅ g(t). Re-write the formula for p by distributing the 2t2 term. Then, compute p′(t) using the sum and constant multiple rules.
3) p′(t) = f′(t) ⋅ g′(t).
A. True
B. False
4) Let q(t) = t3 + 4t2/2t2 and observe that q(t) = g(t)/f(t). Rewrite the formula for q by dividing each term in the numerator by the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q′(t) using the sum and constant multiple rules.
5) q′(t) = g′(t)/f'(t).
A. True
B. False
Answer:
1) [tex]f'(t)=4t,\ g'(t)=3t^2+4[/tex]
2) [tex]p(t) =2t^5+8t^3[/tex]
[tex]p'(t)=10t^4+24t^2[/tex]
3) False
4)[tex]q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]
[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
5) False
Step-by-step explanation:
Given that:
[tex]f(t) = 2t^2[/tex] and [tex]g(t) = t^3 + 4t[/tex]
Formula:
[tex]1. \dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}[/tex]
1) Using above formula:
[tex]f'(t)=2\times 2 t^{2-1}=4t[/tex]
[tex]g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4[/tex]
2) [tex]p(t) =2t^2(t^3+4t)[/tex]
Rewriting the formula by distributing the [tex]2t^2[/tex] term:
[tex]p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3[/tex]
[tex]p'(t) = 10t^4+24t^2[/tex]
3) By using answers of part (1):
[tex]f'(t).g'(t)=12t^3+16t[/tex]
[tex]p'(t) = 10t^4+24t^2[/tex]
Therefore it is False that [tex]p'(t) = f'(t).g'(t)[/tex]
4) [tex]q(t)=\dfrac{t^3+4t}{2t^2}[/tex]
Writing by distributing:
[tex]q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]
Using the formula:
[tex]q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
(5)By using answers in part (1):
[tex]\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t[/tex]
[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
Therefore, it is False that:
[tex]q'(t)=\dfrac{g'(t)}{f'(t)}[/tex]
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).
Putting (-1, -11) in given equation, we get :
-11 = a + -b + c ....1)
Similarly putting (1, −5) and (2, −8) we get :
-5 = a + b + c ....2)
-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :
2( a + c ) = -6
a + c = -3
Solving equation 1 , 2 and 3 ,we get :
a = -2 , b = 3 , c = -6
Therefore, equation of parabola is :
y = -2x² + 3x -6
Hence, this is the required solution.
What is the first step to solve 2 (x - 2)< (1 + 2) + 5
Answer:
The first step would be to distribute the 2 outside of the parenthesis
Then the left side of the equation would look like: 2x-4
Step-by-step explanation:
9514 1404 393
Answer:
add 1+2
Step-by-step explanation:
According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...
(1 +2) = 3
Then the inequality becomes ...
2(x -2) < 3 +5
During the summer, Abrielle is a cashier at a grocery store and Zane serves ice cream. To show their earnings, Abrielle makes a graph and Zane makes a table. Which statement is true?
Answer:
The slope of Zane is 18.50/2 = 9.25
Subtract both slopes to find the true statement.
10.5 - 9.25 = 1.25
The correct statement is:
Abrielle earns $1.25 more than Zane.
Answer:
what the person on the top said. Their right.
Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form.
Degree 7; zeros: -7, i, 3-1, -6i
Answer:
Your search - Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form. Degree 7; zeros: -7, i, 3-1, -6i - did not match any image results.
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
What is 18 x 2 x (3 + 4) x 3 + 6
Answer:
762Step-by-step explanation:
[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]
Follow PEMDAS order of operation
[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]
Answer:
762
Step-by-step explanation:
We need to use BODMAS method
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
__________________
Workout
First Brackets
- (3 + 4) = 7
Then multiplication
18 x 2 = 36
36 x (3 + 4) = 36 x 7 = 252
252 x 3 = 756
Lastly Adding
756 + 6 = 762
Answer = 762
___________________
Hope you understand
:-)
Ryan picked 7 apples.David picked 4 times as many apples.How manyapples did he picked
Answer:
28
Step-by-step explanation:
7*4
A regular pentagon (5 sides) is rotated about its center. By which angle could the pentagon be rotated so that it is mapped onto itself?
A
45 degrees
B
60 degrees
C
72 degrees
D
90 degrees
Answer: Your answer is C, 72 degrees.
Step-by-step explanation:
A pentagon is a polygon with 5 vertices. A polygon can be rotated 360 degrees in total. Since this shape has 5 vertices, it can be rotated on every vertex to get the same figure, or in other words, it being mapped onto itself. Therefore, 360 degrees divided by 5 vertices is 72 degrees.
how do you solve
x2 - 4xy + 4y
Answer: x2-4xy+4y=2xy-5y+2y
Step-by-step explanation:
. If you could put a sealed room on a very sensitive scale and open a thousand soft drink
cans inside it, would the mass reading on the scale go up, go down, or stay the same?
Explain your answer.
Answer:
I think it would go up on the scale.
Step-by-step explanation:
I believe it would go up, because think about air in your mouth. If you close your mouth and add more air, your mouth gets heavier to carry. Therefore, the air needs to go somewhere. Same with carbonated soft drinks, like soda.
Please mark me Brainliest! I only need 4 more! Thank you so so much!
Choose all numbers that are divisible by 2
Answer:
91066
32626
Are the only answers there
Which is a factor of
25
x
2
−
40
x
+
16
?
A.
5
x
−
4
B.
5
x
+
8
C.
5
x
+
4
D.
5
x
−
8
Answer:
OOOOOOOOOOOOOO9ONOOOOOOOOOOOOI need help please
Answer:
n=1/3
Step-by-step explanation:
Answer:
There’s no error
Step-by-step explanation:
This is my my second to
last one, thanks for helping me
9514 1404 393
Answer:
$9Option 4Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114
14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
__
The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
(11C +14S) -2(C +7S) = (309) -2(114)
9C = 81 . . . . . simplify
C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
(x7) - 3 = 4
What does x =
How do I solve for x
x divided by 7 - 3 = 4
how do i find out what X equals
Answer:
detailed one
Please mark as the BRAINLIEST
(ㆁωㆁ)
"Six more than a number doubled is equal to twice a
number plus three"
Given parameters:
This is a word problem. To solve problems, it is best to interpret sentence by sentence;
Six more than a number doubled;
let the number = y ;
so we have 2(y + 6)
equal =
twice a number plus three;
let the number be Z;
2Z + 3
The complete expression is thus; 2(y + 6) = 2Z + 3
Question 7. Find M Please hurry :)
jessica has 56 arcade tickets to give away she gives them all to her 8 friends who share them equally how many tickets does each friend get?
Question 1 (1 point)
Select all the tables that could represent proportional relationships.
x/y
a
2/3
b
5/7.5
Oc
10/15
Answer: ik 2/3 Ian one but don’t know about the others
Which is the best estimate of 90/7 divided by 1 3/4?
Answer:
7 17/49
Step-by-step explanation:
Convert mixed numbers to fractions:
= 90/7 ÷ 7/4
Apply the fraction rule:
= 90/7 * 4/7
Multiply fractions:
90 * 4 / 7 * 7
Simplify:
360/49
Convert improper fractions to mixed numbers:
= 7 17/49
round 673738 to the nearest ten thousand
Answer:670000
Step-by-step explanation:
Rounding 673738 to the nearest ten thousand is 670000
The place value of the number 673738 from the right is given below:
8 stands for unit
3 represents tens
7 represents hundreds
3 represents tens thousands
7 represents ten thousands
6 represents hundred thousands
Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.
In conclusion, rounding 673738 to the nearest ten thousand is 670000.
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I need a few help on these questions...
A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters
Answer:
121.92 cm cubed
Step-by-step explanation:
all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate
Answer:
1/36 cubic ft
Step-by-step explanation:
4 inches = 12/3 inches = 1/3 ft
2 inches = 12/6 inches = 1/6 ft
6 inches = 12/2 inches = 1/2 ft
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. What integer represents a
loss of 750 points?
An integer is a whole number that can be positive, negative, or zero and is not a fraction. The integer that represents a loss of 750 points is -750.
What is an integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
Given that a contestant in a game show has 9,000 points. Further, The contestant answers the next question incorrectly and loses 750 points.
Now, since the 750 points are a loss and will be deducted from the total points, therefore, these 750 points can be represented by -750.
Hence, the integer that represents a loss of 750 points is -750.
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Find the distance between the two point
(-6,6) and (3,-6)
15.9687194227 rounded to the nearest tenth
Answer:
i think its 16
Step-by-step explanation:
Answer:
16.0
Step-by-step explanation:
Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:
15.968194227
Look at the number directly right of the given term. Note that:
If the digit is 5 or greater, round up.
If the digit is 4 or less, round down.
Since the digit is 6, round up.
15.968194227 rounded to the nearest tenth is 16.0
~
If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child
Answer:
40.
Step-by-step explanation:
The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?
Answer:
Step-by-step explanation:
Help
1. A CD in the financial sense is
(1 point)
O a certificate of deposit
O a checking account
a record of your transactions
O a small sarings account
2. When calculating interest earned on a CD, you (1 point)
O multiply the principal by the interest rate
Omultiply the principal by the interest rate and time
O use an online calculator
O multiply the principal by time
Answer:
1. a certificate of deposit
2. multiply the principal by the interest rate and time
Step-by-step explanation:
1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.
__
2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)
A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time
What is Finance?Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.
A CD in the financial sense is a certificate of deposit.
When calculating interest earned on a CD, you multiply the principal by the interest rate and time.
This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.
The formula for calculating the total amount earned on a CD is:
[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]
Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.
Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time
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