Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
Write the word sentence as an inequality.
A number b
multiplied by −5
is at most −34
.
Answer:
-5b <= -34
Step-by-step explanation:
The inequality phrase, "at most" is same as "less than or equal to". So the algebraic inequality would be -5b <= -34. To solve for b, divide both sides by -5 and make sure to switch the inequality symbol to >= when dividing or multiplying inequalities by a negative number. So b >= 34 / 5.
Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?
Answer:
62 days
Step-by-step explanation:
496/8 = 62
496/8=62
Hope this helps!
Jayla made 36 sugar cookies for the class party. Before you got to class the teachers ate 9 cookies, and then your classmates ate 1/3 of the remaining cookies. How many cookies are left for you to eat?
Answer:
9 cookies are left
Step-by-step explanation:
36 - 9 = 27
27 · 1/3 = 9
please help me out for a brainlist
Answer:
22.50
Step-by-step explanation:
2.50x6=15+7.50=22.50
Answer:
$22.50
Step-by-step explanation:
well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50
There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?
Answer:
240
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Hope it helps
Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.
What is Part 1 and Part 2? I think I have these correct.
Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
What property of addition is defined by ( a + b ) + c + a + ( b + c )
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition states that ( a + b ) + c = a + ( b + c )
On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars
Answer:
-$43.67
Step-by-step explanation:
your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be
-12.71 -30.96
it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.
Which is the correct factored form for 8x^3?
Answer:
HI! If this helps plz brainlist
Step-by-step explanation:
Rewrite 8 x 3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.
The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?
Answer:
If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]
If there is a typo nad one of the slopes is negative, they're perpendicular.
Step-by-step explanation:
The product of the slope is 1 -unless you forgot a minus sign somewhere.
In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point
[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]
The cost of a cycle is ICRS $-3500. If the exchange rate of Indian currency is IC Re1= NC Rs 1.60, find the cost of cycle in Nepali Currency
What is the solution to the system of equations?
y = 2x + 3
y = -x +8
Answer:
x= 5/3
Step-by-step explanation:
You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.
im literally on my last braincell please help omg
an arithmetic sequence is given
-18, -13, -8, -3...
write an explicit formula for the nth term
Answer:
its going up by 5 every time
Step-by-step explanation:i think that would help i dont know if it was obvious
5 The Young family is replacing their central air-conditioning with a high- efficiency unit that costs $11798. The family is offered a 48-month loan without interest. If the family is not able to pay back the full amount in 48 months, they will be charged 8% interest on the purchase amount. How much money in total will the young family pay if they take longer than 48 months? (Think: 48 months is 4 years.)
Answer:
12742.84$
Step-by-step explanation:
11798 (the price) + 11796 x 0.08 (8% interest)=12742.84
ΔABC is an isosceles triangle with AB = AC, D is the midpoint of BC and AD is joined. Prove that ΔABD ≅ ΔACD
Answer:
ΔABD ≅ ΔACD
Step-by-step explanation: I took the quiz
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer: x = 55/2
Step-by-step explanation: (x)(2) (-3)(2) = 49 2x-6+6 = 49+6 2x/2 = 55/2 x = 55/2
I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.
Is this positive or negative? ( slopes ) y= -2/3 x - 1
Answer:
positive
Step-by-step explanation:
negative times negative is positive
positive times positive is positive
positive times negative is negative
negative times positive is negative
Solve:
2/5 + 4/10 = ?
BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR
A 6/10
B 6/15
C 2/15
D 8/10
Answer:
Option D is correct.
Step-by-step explanation:
2/5 + 4/10
=> 2/5 + 2/5
=> 4/5
4/5 = 8/10
Therefore, Option D is correct.
Hoped this helped.
Simplify the following.
can someone pls help 25+ Points And BRAINLIEST.
I know the answer so give step by step explanation.
Answer:
(2f-17h)/24k
Step-by-step explanation:
We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :
8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get
(2f-17h)/24k
HELPPP PLEASEEEE………..
Answer:
the answer is 54°......
Tyesha found that the z-statistic was 2. 1 and that the critical z-values were -1. 96 and 1. 96. Which of the following is a valid conclusion based on these results? One can reject the null hypothesis. One can reject the alternate hypothesis. One can accept the null hypothesis. One cannot accept or reject the null hypothesis.
The option that represents a valid conclusion based on the given results is;
One can reject the null hypothesis.
We are told that the z-statistic was 2.1.
We are also told that the critical z-values were -1.96 and 1.96.
We see that the z-value is greater than the critical z-values.
Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.
In conclusion, we will reject the null hypothesis.
Read more about hypothesis testing at; https://brainly.com/question/15980493
PLS HELP!!!!!!! I AM GIVING BRAINLIEST!!!!!
Select the correct images.
Select the parent function and its graph.
Answer:
The answer in image one is f(x)=2x Left
The answer in image two is f(x)=x Center
the answer in image three where right Right
Answer:
The answer is f(x) = x. Its the second graph.
Step-by-step explanation:
Can someone please solve question 8
Answer:
22.84
Step-by-step explanation:
Maribel will borrow $6250 at 13.5% APR. She chooses to pay it back in 2 years.
What will her monthly payment be? Use the table.
Use the rate table to figure out the monthly payments per one hundred dollars.
At a rate of 13.5% the interest per $100 is $ 4.778 per month.
Therefore, for two years the payment will be
$4.778 × 24 = $114.672 per $ 100
Therefore, the interest for a principal $6250 for two years;
(6250/100) × 114.672
= $7167
The monthly payment would therefore be
7167/24
= $298.625
≈$298.63
If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each package plan from part a? Buying the first package will save $ and buying the second package will save $
another word for collinear
Answer: words like straight, symmetrical, aligned.
A box of cereal states that there are 96 calories in a
3
4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer: 96
Step-by-step explanation:
96/3 = 32 per cup 32 x 3 = 96
92% of what number is 30?
Please answer quick!
Answer: 32.61
Step-by-step explanation:
92/100 × x = 30
x = 30 × 100/92
x = 32.61
*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you