Answer:
Its length is 37.5 cm.
Step-by-step explanation:
If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So
The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.
So
[tex]\frac{15}{10} = \frac{l}{25}[/tex]
[tex]10l = 25*15[/tex]
Simplifying by 10.
[tex]l = 2.5*15 = 37.5[/tex]
Its length is 37.5 cm.
HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0
Answer:
[tex](x+5)^{2} = 9[/tex]
Step-by-step explanation:
To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
[tex]x^{2}[/tex] +10x + 16 = 0
subtract 16 to both sides
[tex]x^{2}[/tex] + 10x = -16
add 25 to both sides
[tex]x^{2}[/tex] +10x + 25 = 9
Perfect Square Trinomial Factoring
[tex](x+5)^{2}[/tex] = 9
Joshua wants to buy sport shoe cost P435.30 if he saved from his allowance a total of P289.75 how much does he still need to buy the shoe
Answer:
P 145.55
Step-by-step explanation:
435.30 - 289.75 = 145 .55
A number divided by eight minus thirteen is greater than negative six.
Answer:
(x/8) - 13 > -6
Step-by-step explanation:
If you want to take it further, add 13 to both sides to make it x/8 > 7. Then divide both sides by 8 to get x by itself. you are left with x > 7/8
Random tip to remember: when dividing by negatives, remember to switch the inequality signs (this is just for future reference)
PLZ ANSWER QUICKLY! POINTTTSSS POINTTTSS! THX
If f(x) = 3(x + 4), find f(2).
729
243
81
18
Answer:
18
Step-by-step explanation:
We just substitute x
3(2+4)=6+12=18
7.5d=2.5d, lin divides each side by 2.5d, and elena subtracts 2.5d from each side
Answer:
2.5d is your answer right answer
mr Ethan divide the a land that measures 42m by 60m into equal what should be the size of largest square
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.
Answer:
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
Step-by-step explanation:
The amount of money in the account after t years is given by:
[tex]A(t) = Pe^{rt}[/tex]
In which P is the initial amount deposited and r is the interest rate, as a decimal.
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.
This means that [tex]P = 1600, r = 0.08[/tex]
After t years, there was $3,200 in the account. How many years had the money been in the account?
This is t for which [tex]P(t) = 3200[/tex]. So
[tex]A(t) = Pe^{rt}[/tex]
[tex]3200 = 1600e^{0.08t}[/tex]
[tex]e^{0.08t} = \frac{3200}{1600}[/tex]
[tex]e^{0.08t} = 2[/tex]
[tex]\ln{e^{0.08t}} = \ln{2}[/tex]
[tex]0.08t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.08}[/tex]
[tex]t = 8.67[/tex]
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
The value of time t is [tex]\frac{ln(2)}{0.08}[/tex].
Given: P=1600
r=8%=0.08
t = ?
A=3200
Using the given compound interest formula we get:
[tex]A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\[/tex]
Take ln on both sides,
[tex]ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}[/tex]
Learn more: https://brainly.com/question/12325365
Sam received his monthly credit card statement. He was shocked to find a debit transaction of $2,799 for a smart watch that he hadn’t purchased. He noticed that the fraudulent transaction had been made just a couple of days ago. He was aware that the card had been missing for a several months, but he had forgotten to inform the credit card company about the lost card. What’s the maximum amount sam will have to pay for this fraudulent transaction?
Answer:
The entire amount
Step-by-step explanation:
Sam will have to incur the amount of the transaction performed, this is because the transaction occurred using his credit card and he also attested to the fact that the card was missing for several month. After losing his credit card, Sam should have informed the credit card company about the development so that necessary steps could be taken, which he failed to do. For these, reason, Sam will have to bear the loss and pay the credit card company the entire sum.
Answer:
Fair credit billing act and the full amount is correct on plato.
Step-by-step explanation:
Please help me out here, I’ve been reposting the same questions and have not seen people not answer mine. :( just please i will give u brainiest
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.
A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 22.5 meters and a height of 18 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?
pallets of sod will be needed to fill the field.
Answer:
22.5 meters plus the amount of sold would equal 2.29
Step-by-step explanation:
The school spent $504 on calculators. How
many did the school buy?
Answer:
How much are these calculators??
Step-by-step explanation:
Grandma has 4 bags of soil for her flower pots each flower pot needs 3/4 of a bag of soil how many flower pots can she fill
Answer:
she can fill 5 pots and have 1/3 bag left over
Step-by-step explanation:
8+y=18 как решить уравнения
Answer:
y=10
Step-by-step explanation:
8+y=18
(-8)
y=10
!!!!!!!!!!!
Answer:
ответ :y=10 я поставил объяснение
work out 14hrs 3min devide by 3
Answer:
4.6833333 Hours
Step-by-step explanation:
14 hrs=840 min
843/3
281minutes
281 min= 4.6833333 Hours
please mark brainliest
Subtract 4 from 1/6 of 42
Answer:
3 is the answer
Step-by-step explanation:
1/6 of 42 is 7, 7-4=3
You can search it up if you think I am wrong
Answer:
-3 is the correct answer
The length of the shorter diagonal of a rhombus is 10 centimeters. Determine the length of the longer diagonal, to the nearest centimeter, if the perimeter
of the rhombus is 52 centimeters.
Length of the longer diagonal
cm
Answer:
24cm
Step-by-step explanation:
Perimeter of a rhombus = 4a
a is the side of the rhombus
52 = 4a
a = 52/4
a = 13cm
If the length of the shorter diagonal of a rhombus is 10 centimeters, then the length of the other diagonal is expressed as;
L = 2 * √a²-(s/2)²
s is the length of the shorter diagonal
Given
a = 13cm and s = 10cm, substitute
L = 2 * √13²-(10/2)²
L = 2*√169-5²
L = 2*√169-25
L = 2*√144
L = 2*12
L = 24cm
Hence the length of the longer diagonal is 24cm
What is the volume of a cube with edge lengths of 2/3 units
Answer:
Step-by-step explanation:
8/27 because if you think about it 2/3 x 2/3 x 2/3 x 2/3 = 8/27
If the population of a town was experiencing uninhibited decay of 2% per year, how long would it take the population to decrease to half? Round to the nearest tenth.
48.6 years
26.4 years
15.1 years
34.7 years
Answer:
replied in the wrong place whoops the answer is 34.7
Step-by-step explanation:
Which inequality is equivalent to this one? y-85-2
Answer:
[tex]y-8+2\leq -2+2[/tex]
Step-by-step explanation:
Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.
So we can eliminate the first and second choice.
Now it's down to the bottom two.
The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.
Therefore, the last one must be the correct answer.
The last one is adding two to both sides and have the same inequality sign.
Name 6 elements of PQR.
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
find the derivative: y={ (3x+1)cos(2x) } / e^2x
Answer:
[tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Product Rule: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Quotient Rule: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Trig Derivative: [tex]\displaystyle \frac{d}{dx}[cos(u)] = -u'sin(u)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{(3x + 1)cos(2x)}{e^{2x}}[/tex]
Step 2: Differentiate
[Derivative] Quotient Rule: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - \frac{d}{dx}[e^{2x}](3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Numerator] eˣ derivative: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{(e^{2x})^2}[/tex][Derivative] [Fraction - Denominator] Exponential Rule - Powering: [tex]\displaystyle y' = \frac{\frac{d}{dx}[(3x + 1)cos(2x)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Product Rule: [tex]\displaystyle y' = \frac{[\frac{d}{dx}[3x + 1]cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Basic Power Rule: [tex]\displaystyle y' = \frac{[(1 \cdot 3x^{1 - 1})cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] (Parenthesis) Simplify: [tex]\displaystyle y' = \frac{[3cos(2x) + \frac{d}{dx}[cos(2x)](3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] [Brackets] Trig derivative: [tex]\displaystyle y' = \frac{[3cos(2x) -2sin(2x)(3x + 1)]e^{2x} - 2e^{2x}(3x + 1)cos(2x)}{e^{4x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{e^{2x}[(3cos(2x) -2sin(2x)(3x + 1)) - 2(3x + 1)cos(2x)]}{e^{4x}}[/tex][Derivative] [Fraction] Simplify [Exponential Rule - Dividing]: [tex]\displaystyle y' = \frac{3cos(2x) -2sin(2x)(3x + 1) - 2(3x + 1)cos(2x)}{e^{2x}}[/tex][Derivative] [Fraction - Numerator] Factor: [tex]\displaystyle y' = \frac{3cos(2x) -2(3x + 1)[sin(2x) + cos(2x)]}{e^{2x}}[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
Help pls!!! Worth 16 points!!!:)))
Answer:
18: Safe volume: s <= 115. Unsafe: s > 115.
19: 2-a, 1-b, 3-c, 4-d
20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.
20b: f > 12
Step-by-step explanation:
What's 16/12 + 11/6?
Answer:
It's 3 1/6 :) I hope it helps
HELP ASAP All the students in a history class complete a 10-point
extra-credit assignment to raise their test scores.
The new test score is 10 points more than the original
score.
Let x = original score
Let y = new score
Write an equation that represents this situation.
A. y = x+ 10
B. y= 10x
O C. y = x + 10
D. y = x - 10
Answer would actually be y = x + 10
NEED IMMEDIATE HELP I DIDNT GET ANYTHING THE TEACHER TAUGHT ME TODAY! Can someone please answer all my questions? I would really appreciate it! I need to get my math grade up. :)
To see my questions download the PDF and you can answer all of them for me. :)))))
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides will be in same ratio
[tex]2) \frac{x}{8}=\frac{30}{15}\\\\x =\frac{30}{15}*8\\\\x=2*8\\\x = 16[/tex]
[tex]3) \frac{x}{20}=\frac{12.8}{16}\\\\x = \frac{12.8}{16}*20\\\\x= \frac{128}{8}\\\\x = 16[/tex]
[tex]\frac{y}{10}=\frac{12.8}{16}\\\\y=\frac{12.8}{16}*10\\\\\\y=8[/tex]
[tex]4) \frac{x}{15}=\frac{8}{6.4}\\\\x=\frac{8}{6.4}*15\\x=18.75[/tex]
[tex]5) \frac{x}{12}=\frac{22.5}{9}\\\\x=\frac{22.5*12}{9}\\\\x= 30[/tex]
[tex]6)\frac{14}{8}=\frac{7}{4}\\\\\frac{12}{6}=\frac{2}{1}\\\\\frac{10}{5}=\frac{2}{1}[/tex]
As the ratio of corresponding sides are not proportion, these are not similar triangles
I really need help plz
Answerwhat do you need help with?
Step-by-step explanation:
In a survey of 1090 investors, it was determined that 690 invested in stocks, 575 in bonds and 300 in both stocks and bonds.
a. How many invested in only stocks?
b. How many invested in stocks or bonds?
c. How many did not invest in either stocks or bonds
something is wrong with your question bc 690 plus 575 equals to 1265
17 is between which two integers ?
Answer:
Step-by-step explanation:
two integers mean numbers that do not have decimals. Whole numbers
to figure out between what two integers get a calculator
which is 4.123 (to three decimal places)
thus it falls between 4 and 5. since it is above 4 and below 5 and there are no integers in between possible.
- brainly user
PLZ help me with this question
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
