Answer:
16
Step-by-step explanation:
STEP 1:
Calculate within Parentheses:
[tex](2 + 0) = 2[/tex]
=
[tex]8 \times {2}^{2} \div 2[/tex]
STEP 2:
Calculate Exponents:
[tex] {2}^{2} = 4[/tex]
=
[tex]8 \times 4 \div 2[/tex]
STEP 3:
Multiply & Divide (left to right):
[tex]8 \times 4 \div 2 = [/tex]
[tex]8 \times 4 = 32[/tex]
[tex]32 \div 2 = 16[/tex]
So, your answer is 16.
Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?
Answer:
12 whole pieces and 12.5 pieces if you don't want a whole answer. :P
Step-by-step explanation:
Do 5 / (2/5) = 5 x (5/2) = 25/2 = 12 1/2 OR 12.5. Again, if you want a whole number, 12 whole pieces.
Hope that helps!
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
Stephanie had 0.75 to buy a treat at the store. She used 3 dimes to buy a popsicle. What fraction of her money
did Stephanie spend on the popsicle?
Answer:
30/75
Step-by-step explanation:
3 times 10 is 30. so 30 out of 75
Given that 5x - 8y = 33 find x when y = 1
Answer:
x = ⁴¹⁄₅ or 8.2Explanation:
5x - 8y = 33
y = 1
Insert 1 for 'y' in the equation
5x - 8(1) = 33
Remove parenthesis: (a) = a
5x - 8 · 1 = 33
Multiply 8 · 1: 8
5x - 8 = 33
Add 8 to both sides
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
Divide both sides by 5
5x / 5 = 41 / 5
x = ⁴¹⁄₅
Turn the fraction into a decimal
x = 8.2
Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the
unit rate? (How many pages can she read per
hour?)
Help plzzzz
Answer:
22
Step-by-step explanation:
give them brain, they're correct.
The Unit Rate for Amy will be 22 pages per hour.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something.
We have,
Amy can read 88 pages in 4 hours.
So,
Now,
Number of pages Amy can read in 1 hour [tex]=\frac{88}{4}[/tex]
So,
Number of pages Amy can read in 1 hour = 22,
That means,
The Unit Rate for Amy is 22 pages per hour.
Hence, we can say that the Unit Rate for Amy will be 22 pages per hour.
To know more about Unit Rate click here
https://brainly.com/question/11258929
#SPJ2
Is 16 a multiple of 8?
Answer:
have a good day!
Yes it is.
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
What property is used to show that 3(4 – 6) = 12 – 18?
Distributive Property
Associative Property
Commutative Property
Subtraction Property
Answer:
Distributive Property
Step-by-step explanation:
Answer:
Distributive property
Step-by-step explanation:
a(b-c)= (a×b) - (a×c)
3(4-6)=(3×4) - (3×6)
= 12 - 18
Solve the equation by balancing 3n+2=17
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answer:
113.75
Step-by-step explanation:
Apply the distributive property to create an equivalent expression.
1/5 (15+10k) =
Answer:
1/5(15+10k)
=1/5.15+1/5.10k
=3+2k
Answer:
3+2k
Step-by-step explanation:
khan said so
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.
Solve with distance, rate & time table formula
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Answer:
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Step-by-step explanation:
Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
whats 2 plus 2?////////////////////////////////////////////////
Answer:
4
Step-by-step explanation:
its like you have 2 fishes and you get two more
Answer:
4
Step-by-step explanation:
When you have two question marks and add two more you have four
????
1234
What is the area of one trapezoidal face of the figure
What is the value of 9.6 x 12.643?
Answer:
121.3728
Step-by-step explanation:
calcluated with calculater
10. Andy is flying an airplane at an altitude of 12,000 feet over the ocean heading towards and island. His instruments show that the airplane will be directly over the island after flying horizontally 30,000 feet. To land the plane safely, Andy needs to calculate the angle of depression.
Answer:
I think is D
Step-by-step explanation: I don’t know :/
Please help me, willing to pay! Drop gcash no.
Answer:
1. a+b
2. x+7
3. r^2
4. (a-12)
5. z-14
A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?
Answer:
He bought 20 balls
Step-by-step explanation:
Cost of a certain number of golf balls = $20
Let 1 golf ball cost $x
This means number of balls bought = 20 / x
If each ball has costed 20 cents less;
Converting 20 cents to dollars = $0.2
$x - $0.2
he could have bought five more for the same money.
Number of balls = 20/x + 5
Using the formulae;
Cost of 1 ball * Number of balls bought = Amount spent
(x-0.2) (20/x + 5) = 20
Expanding the expression;
x(20/x + 5) - 0.2(20/x + 5) = 20
20 + 5x - 4/x - 1 = 20
19 + 5x - 4/x = 20
5x - 4/x = 1
Multiplying all through by x
5x^2 - 4 = x
5x^2 - x - 4 = 0
(5x + 4)(x - 1) = 0
x = 1 or -4/5
-4/5 is unrealistic hence the correct value is;
x = $1
He bought 20 balls; 20 / x = 20 / 1 = 20
The reduction in the price of each ball increases the number of balls the man can buy at RM 20.
The number of balls he bought is 20 balls.
Reasons:
The given parameters are;
The amount the man bought the golf balls = RM 20
The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls
Let the number of balls the man bought = x
Let the price of each ball be m
We have;
m × x = 20
(x + 5)·(m - 0.20) = 20
Therefore, we get;
[tex]m = \dfrac{20}{x}[/tex]
Which gives;
[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]
[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]
20·x = -0.2·x² + 19·x + 100
0.2·x² + x - 100 = 0
x² + 5·x - 500 = 0
(x + 25)·(x - 20)
x = 20
The number of balls he bought, x = 20 balls
Learn more here:
https://brainly.com/question/6597326
I need help, Please help me.
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
–5(–x + 4)
need help
Answer:
5x−20
Step-by-step explanation:
−5(−x+4)
=(−5)(−x+4)
=(−5)(−x)+(−5)(4)
=5x−20
cause yo hair nappy........
Answer:
what do you mean?
Step-by-step explanation:
Question 1 of 10
Which of the following is most likely the next step in the series?
Answer:
The second one.
Step-by-step explanation:
The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.
Which dot plot matches the tally chart below?
A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 2 dots, 3 has 3 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 5. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 0 dots.
A dot plot titled Pull-ups completed in one minute goes from 0 to 6. 0 has 0 dots, 1 has 2 dots, 2 has 5 dots, 3 has 3 dots, 4 has 1 dot, 5 has 1 dot, and 6 has 0 dots.
Answer:
option 1
Step-by-step explanation:
Answer: 1st one
Step-by-step explanation:
write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function
Answer:
Step-by-step explanation:
[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]