Answer:
4^-2
Step-by-step explanation:
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
This means ...
(4^6)(4^-8) = 4^(6-8) = 4^-2
To simplify the expression (4^6)(4^-8), add the exponents and rewrite the expression as 4^(-2). Then, use the rule that states any number raised to the power of -1 is the reciprocal of that number to rewrite 4^-2 as 1/(4^2) which equals 1/16.
Explanation:To simplify the expression (4^6)(4^-8), we can use the rule that states when you multiply two powers with the same base, you add their exponents. In this case, 4^6 multiplied by 4^-8 will be equal to 4^(6 + (-8)). Simplifying the exponent, we have 4^(-2). Since any number raised to the power of -1 is the reciprocal of that number, we can rewrite 4^-2 as 1/(4^2) which is equal to 1/16.
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What is the y-value when x equals -16?
y = -200 - 12(x)
Answer:
Step-by-step explanation:
y = -200 - 12(x)
x = -16
y = -200 - 12(-16)
y = -200 + 192
y = -8
Answer:
y=-8
Step-by-step explanation:
y=-200-12(-16)
y=-200+192
y=-8
Solve the following quadratic inequality 2x^2+3x-5>0
Answer:
x < -2.5 and x > 1
Step-by-step explanation:
PLEASE HELP ME!!! there's an equation: y × 6 for y = 2/3. what the heck is the y?!
Answer:
y equals 2/3. u have to do 2/3 ×6 I'm pretty sure
It is 9:00. What is the measure of the smaller angle between the hour hand
and minute hand after three minutes? *
Answer:
The hour hand is three-fourths of the way from the "4" to the "5; that is, ... What is the angle between the hour hand and the minute hand at 4:40? ... What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the ... One has to account, however, for the 10 minutes that have passed.Step-by-step explanation:
Darnell starts the month $952.43 in his checking account. Darnell buys an iPhone 7 for $217.49 with tax included, and two kindle books that each cost $7.99. He pays with his checking account debit card. What is his new balance? The new iPhone 7 is not as awesome as promised, and Darnell returns it. What is his new balance? Explain how returning the phone is like the subtracting a negative number from his balance.
Answer:
Therefore his new balance=$712.95
Therefore his new balance is =$ 930.44
Step-by-step explanation:
Darnell starts the month $ 952.43 in his checking account.
He buys an iPhone 7 for $ 217.49 with tax included and two kindle books that each $7.99.
The price of two books is =$(7.99× 2)= $ 15.98
Total amount that he paid for iPhone 7 and two books is =$(217.49+15.98)
=$233.47
Therefore his new balance = $(952.43- 233.47)
=$712.95
The new iPhone 7 is not as awesome as promised , and Darnell returns it.
He will get the price of iPhone refund.
Therefore his new balance is $(712.95+217.49)
=$ 930.44
Darnell's new balance after purchases is $718.96. When he returns the iPhone 7, his balance is back to $936.45, as subtracting the negative cost of the iPhone is equivalent to adding its price back to his account.
To find Darnell's new balance after his purchases and subsequent return, we need to perform a few calculations based on the transactions. Darnell starts with $952.43 in his checking account. First, he purchases an iPhone 7 for $217.49 and two Kindle books, each costing $7.99. The total cost for the books is $7.99 x 2 = $15.98. We subtract these amounts from his initial balance:
$952.43 - $217.49 = $734.94
$734.94 - $15.98 = $718.96
Therefore, after the purchases, Darnell's new balance is $718.96.
When Darnell returns the iPhone 7, he gets a refund of $217.49, which is like subtracting a negative number from his balance because subtracting a negative is the same as adding a positive. So:
$718.96 + $217.49 = $936.45
After returning the iPhone 7, Darnell's new balance is $936.45.
Subtract. (5 x 2 −3x−2)−(−2 x 2 −x+10)
Step-by-step explanation:
We have,
(5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10)
To subtract (5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10) = ?
∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10)
= 5[tex]x^2[/tex] − 3x − 2 + 2[tex]x^2[/tex] + x - 10
= (5[tex]x^2[/tex] + 2[tex]x^2[/tex]) + ( − 3x + x) + (- 2 - 10)
= 7[tex]x^2[/tex] + ( -2x) + ( - 12)
= 7[tex]x^2[/tex] - 2x - 12
∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10) = = 7[tex]x^2[/tex] - 2x - 12
Angie and Eric have opened a jumbo bag of candies and counted the number of each color. They have 100 red, 180 green, 90 yellow, and 130 brown candies. Sarah and Laney each take turns drawing a candy, replacing each candy after they draw. If Angie and Eric each draw a candy 500 times, how many times should they expect for Angie to draw a brown candy followed by Eric drawing a red candy?
Answer:
26 times.
Step-by-step explanation:
Total number of candies = 500.
Probability ( Angie drawing a brown candy) = 130/500 = 13/50.
Probability (Eric drawing a red candy) = 100/500 = 1/5.
So Probability ( Angie drawing brown then Eric drawing a red) = 13/50 * 1/5
= 13/250.
Therefore the expectation of the number of times this will happen
= Probability * total number of draws
= (13/250) * 500
= 13 * 2
= 26 times.
On Saturday sally works 8.25 hours and earns $6.50 an hour. Michelle work 6.75 hours and earns $8.95 an hour. Who earns more? How much more?
Answer:
Sally y= (8.25)(6.5)= $53.63
Michelle y = (6.75)(8.95)= $60.41
Michelle earns more
60.41-53.63= $6.78
Slove for x? X+16=4x-5
Answer:
x=7
Step-by-step explanation:
x+16=4x-5
16=4x-x-5
16=3x-5
3x=16+5
3x=21
x=21/3
x=7
Answer:
x=7
Step-by-step explanation:
Rosa is participating in a fun run to raise money for the West Side Children's Hospital. The run is held at Rosa's high school track. The more laps Rosa runs around the track, the more money she raises for the hospital.
There is a proportional relationship between the number of laps Rosa runs, x, and the amount of money she raises for the hospital (in dollars), y.
x (laps) y (dollars)
1 $5
2 $10
3 $15
4 $20
Write an equation for the relationship between x and y.
y=
The equation representing the proportional relationship between the number of laps Rosa runs and the amount of money she raises is y = 5x. This linear equation suggests that for every lap completed, $5 is earned for the hospital.
Explanation:The relationship between the number of laps Rosa runs (x) and the amount of money she raises for the hospital (y) can be described by a linear equation because there is a proportional relationship between x and y. We can see from the values given that each lap corresponds to $5. Therefore, the slope (change in y divided by the change in x) is $rac{$5}{1 lap} = $5$ per lap. Since there is no initial fee mentioned (y-intercept, b), the equation is simply the slope times the number of laps.
So, we can write the equation as y = 5x. This equation tells us that for every lap Rosa runs, she will raise $5. If we plot this relationship on a graph with x as the independent variable and y as the dependent variable, we would get a straight line that passes through the origin (0,0).
What is the next term in the following sequence? -3, 4, 11, 18, ...
Answer:25
Step-by-step explanation: Add 7 to the next term to get the next term.
-3+7=4
4+7=11
11+7=18
18+7=25
Write an inequality that represents 54 less than 1/2 of a number is more than 233
[tex]\frac{1}{2}[/tex]x - 54 > 233 would be your inequality.
⭐ Answered by Hyperrspace (Ace) ⭐
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The inequality that represents 54 less than 1/2 of a number is more than 233 would be; 1/2 x - 54 > 233
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given that 54 less than 1/2 of a number is more than 233
Let the number be x.
So, 1/2 of a number means 1/2x
54 less than 1/2 of a number = 1/2 x - 54
Therefore,
Hence, 1/2 x - 54 > 233 would be your inequality.
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Consider the dice A, B, and C below. The opposite sides have the same values as those shown.
A(2,9,4) B(1,8,6) C(3,7,5)
a) If A is rolled against B with the higher number the winner, which should you bet on? Why?
Explain in terms of probability.
b) What if B is rolled against C?
c) Now what about C against A?
Answer:
a) A
b) B
c) C
Step-by-step explanation:
There are 9 different outcomes when 2 die are rolled.
a) A & B : A has a higher chance of winning, i.e probability of 5/9
(A,B) : (2,1) (9,1) (9,8) (9,6) (4,1)
In other 4 possible outcomes, B will win which is a probability of 4/9 (less than 5/9)
b) B & C: B has a higher chance of winning, i.e probability of 5/9
(B,C) : (8,3) (8,7) (8,5) (6,3) (6,5)
In other 4 possible outcomes, C will win which is a probability of 4/9 (less than 5/9)
c) A & C: C has a higher chance of winning, i.e probability of 5/9
(A,C) : (2,3) (2,7) (2,5) (4,7) (4,5)
In other possible outcomes, A will win which is a probability of 4/9 (less than 5/9)
please I need your help
Do 5*12 because that's 5*(4+4+4) which the 4s are the base lengths added together. So you have 60 for one part of the figure.
Next, you have 2*4 left to add on to the figure which is 8.
So 60+8=68 is your answer
68 units^2
Hope this helped!
Answer:
The area of the figure is 68ft^2
Step-by-step explanation:
To get the area look for the separate shapes in the figure, there are 2
One has the side lengths of 5ft and 12ft, to get the 12ft length see that one side is segmented into 3 4ft long lines.
5ft * 12ft= 60ft^2
The other shape has the side lengths of 2ft and 4ft
2ft*4ft= 8ft^2
60ft^2 + 8ft^2= 68ft^2
What is the solution set of the given equation?
4y - 6y + 9y = -2
{-2/11}
{2/7}
{2/11}
{-2/7}
A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one-half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.
A.
1 17/30 h
B.
2 1/15 h
C.
− 1 17/30 h
Answer:
[tex]A.\ 1\frac{17}{30}\ hours[/tex]
Step-by-step explanation:
[tex]Let\ second\ jet\ overtake\ first\ in\ x\ hours.\\\\[/tex]
Distance covered by first jet:
[tex]Speed\ of\ first\ jet=564\ km/h\\\\Time=x+\frac{1}{2}\\\\Distance\ covered=speed\times time\\\\Distance\ covered=564\times (x+\frac{1}{2})=564x+564\times \frac{1}{2}\\\\Distance\ covered=564x+282[/tex]
Distance covered by second jet:
[tex]Speed\ of\ second\ jet=744\ km/h\\\\Time=x\\\\Distance\ covered=speed\times time\\\\Distance\ covered=744\times x\\\\Distance\ covered=744x[/tex]
[tex]Distance\ covered\ by\ both\ the\ jet\ in\ x\ hours\ is\ equal.\\\\744x=564x+282\\\\744x-564x=282\\\\180x=282\\\\x=\frac{282}{180}=\frac{6\times 47}{6\times 30}\\\\x=\frac{47}{30}\ hours\\\\x=1\frac{17}{30}\ hours[/tex]
What is the solution to the equation?
Answer:
x= 27
Step-by-step explanation:
Move constant to the right-hand side and change its sign.
[tex]\sqrt{2x+10}[/tex] = 2+6
Add the numbers.
[tex]\sqrt{2x+10}[/tex]= 8
Square both sides of the equation.
2x+10= 64
Move the constant to the right-hand side and change its sign.
2x= 64-10
Subtract the numbers.
2x= 54
Divide both sides of the equation by 2.
x= 27
select the correct answer.
which expression gives the same result as
Answer:
b
Step-by-step explanation:
Which is the slope of the line that passes through the points (−2,4) and (5,−1)?
Answer:
-1-4=-5
5+2=7
slope=-5/7
Answer:
slope = -5/7
Step-by-step explanation:
If V6x - 9 = x, what is the value of x ?
Answer:
9/5
Step-by-step explanation:
Given that ,
⇒ 6x - 9 = x
⇒ 6x - x = 9
⇒ 5x = 9
⇒ x = 9/5
Final answer:
To solve the equation V(6x - 9) = x, we square both sides, rearrange the resulting quadratic equation, and factor it to find that x = 3 is the solution.
Explanation:
The equation given is V(6x - 9) = x. To find the value of x, we must solve the equation that involves a square root. First, we need to square both sides of the equation to eliminate the square root:
(V(6x - 9))² = x²Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight
A kitten weighing 100 grams at birth and gaining 8 grams per day will take 25 days to triple its birth weight and reach 300 grams.
To calculate the number of days it will take for a kitten to triple its birth weight, we will use the given rate of weight gain and the initial weight. A kitten weighs about 100 grams at birth and gains 8 grams per day. To triple the kitten's weight, it must reach 300 grams (100 grams multiplied by 3).
First, we find the total weight gain needed for the kitten to triple its weight:
300 grams (desired weight) - 100 grams (birth weight) = 200 grams (weight gain needed).
Next, we divide the total weight gain needed by the daily weight gain to find the number of days:
200 grams (weight gain needed) / 8 grams (daily weight gain) = 25 days.
Therefore, it will take the kitten 25 days to triple its birth weight at a rate of 8 grams per day.
Table 1.19 Frequency of Number of Movies Viewed
1. Using the tables, find the percent of data that is at most two. Which table did you use and why?
2. Using the tables, find the percent of data that is at most three. Which table did you use and why?
3. Using the tables, find the percent of data that is more than two. Which table did you use and why?
4. Using the tables, find the percent of data that is more than three.
To find the percent of data that is at most two or three, locate the corresponding column in the frequency table and divide the frequency by the total number of data points. To find the percent of data that is more than two, subtract the percent at most two from 100.
Explanation:1. To find the percent of data that is at most two, I would look at the table that displays the frequency of the number of movies viewed. I would locate the column that represents 'at most two' and find the corresponding frequency. To calculate the percent, I would divide this frequency by the total number of data points and multiply by 100.
2. To find the percent of data that is at most three, I would use the same procedure as in the previous question, but this time I would find the column representing 'at most three.'
3. To find the percent of data that is more than two, I would subtract the percent of data that is at most two from 100. This is because the percent of data that is at most two includes any data that is less than or equal to two.
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Eight more than seven times a number is 8
Answer:
The number is 0
Step-by-step explanation:
We form an equation using the statement:
8 = 7x + 8
Then we solve it:
8 = 7x + 8
8 - 8 = 7x
0 = 7x
0 ÷ 7 = x
x = 0
Question 3 of 50
Line A in the given graph has what kind of slope?
-1/2
0
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Amanda works at a store that pays her 5% commission on the total amount of clothes she sells last week she sold $1200 worth of clothes what is the amount of commission Amanda earned last week
Answer:
$75
Step-by-step explanation:
A 6-kilogram bag of rice costs $3.80. What is the unit price, rounded to the nearest cent?
Answer:
The unit price is 63 cent per kilogram bag of rice.
Step-by-step explanation:
Given:
A 6-kilogram bag of rice costs $3.80.
Now, to find the unit price.
So, to get the unit price we use unitary method:
If cost of 6 kilogram bag of rice = $3.80.
Then cost of 1 kilogram bag of rice = [tex]\frac{3.80}{6}[/tex] = [tex]\$0.633.[/tex]
Thus, the unit price is $0.633 per kilogram bag of rice.
Now, according to question we convert the unit price into cent by using conversion factor:
$1 = 100 cent
$0.633 = [tex]0.633\times 100=63.3\ cent.[/tex]
So, rounded to nearest cent = 63 cent.
Therefore, the unit price is 63 cent per kilogram bag of rice.
Mr. Benton is contemplating which chauffeured car service to take to the airport. The first costs $7 up front and $2 per kilometer. The second costs $19 plus $1 per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?
Answer:
12 kilometers
$31 total fare
Step-by-step explanation:
7 + 2x company A
19 + x . Company B
set these equal and solve for x
x is number of kilometers
7 + 2x = 19 + x
2x = 12 + x
x = 12 kilometers
7 x 2 (12) = $31
d = 23 in.
Find the circumference of the circle
Answer:
72.22in
Step-by-step explanation:
c=d*pie
23*3.14
Answer:
About 72 in.
Step-by-step explanation:
The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle).
c = π·23
c= 72.2566310326
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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 where t is in seconds. How long will it take to he penny to strike the ground.
6 sec can take penny to strike the ground.
Solution:
Given data:
[tex]H_0=288[/tex] feet
[tex]V_0=48[/tex] feet
[tex]h(t)=288+48t-16t^2[/tex]
Re-arrange the terms from greatest degree to smallest degree.
[tex]h(t)=-16t^2+48t+288[/tex]
We can solve it by applying quadratic formula,
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Here a = –16, b = 48, c = 288
[tex]$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}[/tex]
[tex]$t=\frac{-48\pm \sqrt{2304+18432}}{-32}[/tex]
[tex]$t=\frac{-48\pm \sqrt{20736}}{-32}[/tex]
[tex]$t=\frac{-48\pm144}{-32}[/tex]
Now, write find two t's using plus and minus operation.
[tex]$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}[/tex]
[tex]$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}[/tex]
t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
URGENT 15 POINTS
Which event has a probability of 1/2? Select two answers.
A.Rolling a number greater than 6 on a six-sided number cube
B.A flipped coin landing on tails
C.A flipped coin landing on heads or tails
D.Picking a blue marble from a bag of 6 red marbles and 4 blue marbles
E.Rolling an odd number on a six-sided number cube
Answer:
C and e
Step-by-step explanation:
there are two sides and its pretty much completely random on which side it lands on 2 sides = 1/2 probrability for each side and for the dice there are 3 odd numbers and 3 even numbers so thats half and half of the dice therefore 1/2 probrability
It is C and E. It can't be A or D or B.