Answer:
(b)-length 20 cm
Craig has a bank account with $2,100.00 in it. The money in the account is earning 9.99% interest. How much interest will Craig have earned after 6 years?
Answer:
$1258.74
Step-by-step explanation:
Which is a possible turning point for the continuous function f(x)?
X
X
60°
60°
X=[ ? 1°
Enter
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
Roscoe hit a ball straight up at a speed of 96 ft/s. His bat hit the ball at a height 3 ft above the ground. After how many seconds did the ball hit the ground? (Give your answer to the nearest hundredth of a second.)
Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
"circle" all the equivalent expressions to 2x-5y+3 Please tell me which are equivalent 1. X+x-y+1+1+1-y-y-y-y 2. -2+2x+3+(-2y)-y 3. -5y-x-x+2+1 4. Y+y+y+y+y-2x-1-1-1 5. 2+1+x-y+x-2y 6. X-y+x+1-y-3y+2
Given:
The expression is
[tex]2x-5y+3[/tex]
To find:
The equivalent expressions.
Solution:
We have,
[tex]2x-5y+3[/tex]
In option 1,
[tex]x+x-y+1+1+1-y-y-y-y[/tex]
[tex]=(x+x)+(-y-y-y-y-y)+(1+1+1)[/tex]
[tex]=2x-5y+3[/tex]
So, the expression in option 1 is equivalent to the given expression.
Similarly,
In option 2,
[tex]-2+2x+3+(-2y)-y[/tex]
[tex]=2x-3y+1\neq 2x-5y+3[/tex]
So, the expression in option 2 is not equivalent to the given expression.
In option 3,
[tex]-5y-x-x+2+1[/tex]
[tex]=-2x-5y+3\neq 2x-5y+3[/tex]
So, the expression in option 3 is not equivalent to the given expression.
In option 4,
[tex]y+y+y+y+y-2x-1-1-1[/tex]
[tex]=-2x+5y-3\neq 2x-5y+3[/tex]
So, the expression in option 4 is not equivalent to the given expression.
In option 5,
[tex]2+1+x-y+x-2y[/tex]
[tex]2x-3y+3\neq 2x-5y+3[/tex]
So, the expression in option 5 is not equivalent to the given expression.
In option 6,
[tex]x-y+x+1-y-3y+2[/tex]
[tex]=2x-5y+3[/tex]
So, the expression in option 6 is equivalent to the given expression.
Therefore, the correct options are 1 and 6.
A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters tall. The function f(x) = −4.9x2 + 9.8x + 0.6 describes the path of the water balloon, where x is the amount of time since the launch. While the mathematical range is y ≤ 5.5, how does the reasonable range compare?
9514 1404 393
Answer:
reasonable range: 0 ≤ y ≤ 5.5
Step-by-step explanation:
Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...
0 ≤ y ≤ 5.5
Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343
help a brother out ya boy is lazy and don't wanna work.
Answer:
10
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
Maddie can not decide which of two Ski sets to buy. The original price of each is $850. The first ski set is marked 50% off. The second was marked down by 30% then a few days later an additional 20% off. 1. Find the sale price of the first ski set... 50% off. Show your work. 2. Find the Sale Price of the Second Ski Set Marked 30% then 20%. Show your work. 3. Which one is a better deal for Maddie and why?
Answer:
$425i. $595 ii. $476First skiStep-by-step explanation:
1. The first ski was valued at $850 but was then given a 50% discount. The sales price will therefore be:
= 850 * ( 1 - 50%)
= 850 * 50%
= $425
2. The first one was first discounted by 30% so the sales price was:
= 850 * ( 1 - 30%)
= 850 * 70%
= $595
It was then marked down by a further 20%:
= 595 * ( 1 + 20%)
= $476
3. The first ski is a better option because the discount makes it cheaper than the second ski even after the second ski had been discounted twice.
What is the value of the expression?
3
131
3
152
PLEASEEE HELP MEEE WITH THISS
Answer: The answer is D
Step-by-step explanation:
A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?
Answer:
the answer is 9 inches
360/10=36
36*.25 =9
Keith needs to read 2 novels each month.
Let N be the number of novels Keith needs to read in M months.
Write an equation relating N to M. Then use this equation to find the number of novels Keith needs to read in 19 months.
Equation:
Number of novels in 19 months: novels
IS 3.
3y-2x
loss
Percentage loss =
X 100%.
selling price
is
Choose the correct answer from the given four alternaives.
In a school, 58% of the total numbers of students are boys. If the
number of girls is 840, how many students are there in the class?
a. 2000
b. 1800
C. 1500
d. 2100
Birr 300 is invested at 6% simple interest per annum. How long will it
take for the interest to amonut Birr 180?
a. 12 years
b. 10 years
c. 8 years
d. 24 years
The decimal form of 672.937% is
a.6.72937
d. 6729.37
b. 67.2937
c. 672.937
9. The simple interest on Birr 400 invested for 4 months was Birr 12.
What is the annual (yearly) rate of interest?
d) 9%
a. 36%
b. 4.8 %
c. 7%
Answer:
1. a. 2,000
2. b. 10 years
3. a. 6.72937
4. d. 9%
Step-by-step explanation:
1. If 58% are boys, the percentage of girls is:
= 100 - 58
= 42%
That means 840 is 42% of the students in class. The students in class are therefore:
= 840 / 42%
= 2,000 students
2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:
= 300 * 6%
= Birr 18
To get to Birr 180, it would take:
= 180/18
= 10 years
3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:
= 672.937/100
= 6.72937
4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:
= 12/400
= 3%
A year can be divided into three by 4 months. This means that the yearly rate is therefore:
= 3% * 3
= 9%
nandu06 I need help with these word problems, there's 2 btw.
Answer:
thats all hope u got it
Step-by-step explanation:
pls do mark be the brainliest.
16/19 as a decimal rounded to the nearest tenth
Answer:
0.8
Step-by-step explanation:
that's the decimal.
Answer:
0.8
Step-by-step explanation:
this is freckle math can someone help
Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)
Step-by-step explanation:
The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).
The graph is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x
y = number of miles
x = number of hours
4 miles per hour.
Now,
The rate is 2 miles per hour.
This means,
y = 2x
Now,
x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour
y = 2 x 1/20 = 1/10 miles = 0.1 miles
The ordered pair is (0.05, 0.1)
x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour
y = 2 x 1/10 = 1/5 miles = 0.2 miles
The ordered pair is (0.1, 0.2)
Thus,
The ordered pairs are (0.05, 0.1) and (0.1, 0.2).
Learn more about coordinates here:
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Which of the following statements about JK and JL is true?
A. JK is longer than JL
B. JK and JL are the same length
C. JL is longer than JK
JK IS 9 units long
Answer:
jk is longer than jl
Step-by-step explanation:
The distance between J and L is more than J and K hence, the correct option will be (A).
How to find the distance between any two points?
To find the distance between any two points first assign any one point by (1) whose coordinates will be (x₁, y₁) and assign the remaining point with (2) whose coordinates will be (x₂,y₂).
Now, use the below formula to find out the distance
[tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
Let's assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign L by (2) whose coordinate (1,-1) work like (x₂,y₂).
Now by the distance formula, the distance JL is
⇒ [tex]\sqrt{(1-2)^2 +(-1-4)^2}[/tex]
⇒ [tex]\sqrt{(-1)^2+(-5)^2}[/tex]
⇒ [tex]\sqrt{26[/tex] = 2.236
Now again assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign K by (2) whose coordinate (7,-8) work like (x₂,y₂).
Now by the distance formula, the distance JK is
⇒ [tex]\sqrt{(7-2)^2 +(8-4)^2}[/tex]
⇒ [tex]\sqrt{(5)^2 +(4)^2}[/tex]
⇒[tex]\sqrt{(41)}[/tex] = 6.403
Hence, it's clear that the JK is longer than JL.
For more information about the distance formula
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question : fine the location of points a after a translation of 9 units up? Can someone please help me ?
Answer:
(-1,3)
Step-by-step explanation:
count 9 up
Answer: -1,3 not sure
Step-by-step explanation:
list the sides for shortest to longest
Answer:
ac ab bc
Step-by-step explanation:
Rajesh and his brother Mohib are each mailing a birthday gift to a friend. Rajesh package weighs three more pounds than twice the weight of mohib's package The combined weight of both packages is 15 pounds
Answer:
Weight of Mohib package = 4 pounds
Weight of Rajesh package = 11 pounds
Step-by-step explanation:
Let
Weight of Mohib package = x
Weight of Rajesh package = 2x + 3
Total weight = 15
Total weight = Weight of Mohib package + Weight of Rajesh package
15 = x + (2x + 3)
15 = x + 2x + 3
15 - 3 = x + 2x
12 = 3x
x = 12/3
x = 4 pounds
Weight of Mohib package = x
= 4 pounds
Weight of Rajesh package = 2x + 3
= 2(4) + 3
= 8 + 3
= 11 pounds
Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.
Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me
Answer: (MAKE ME BRAINLIST PLEASE)
Answer: For Abigail W = $5t
For her younger sibling W= $3t
Bit by bit clarification:
How about we address the compensation with W
t as the time spent on work in hours
Abigail will be paid $5 every hour, her all out compensation will be
W(abg) = $5t
Her younger sibling will be paid $3 every hour, her complete compensation will be
W(lts) = $3t
y = x2 - 4
y = -(x + 5)
Answer:
what do u want to find I don't get it
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces Please help cuz im in a pretest and my brain is ded
Complete question :
The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
18 ounces
Step-by-step explanation:
From the pie chart ;
The percentage of each Salad mixture in the mix is given ;
Romaine lettuce occupies 27% of the total salad mix ;
The total of amount of ounce of the entire salad mix is 64 ounce
Therefore, number of ounces of Romaine lettuce in the salad mix is ;
27% of 64
0.27 * 64
17.28
= 18 ounces
Evelyn is working two summer jobs, making $18 per hour lifeguarding and making $11 per hour tutoring. In a given week, she can work a maximum of 15 total hours and must earn no less than $200. If Evelyn worked 8 hours lifeguarding, determine the maximum number of whole hours tutoring that she can work and still meet her requirements. If there are no possible solutions, submit an empty answer.
Answer:
Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Step-by-step explanation:
Evelyn earns [tex]\$\: 18[/tex] per hour lifeguarding and she worked [tex]8[/tex] hours lifeguarding.
So, total money earned by lifeguarding [tex]=\$\: 18\times 8=\$\:144[/tex].
She must earn no less than [tex]\$\:200[/tex].
So, money left to earn [tex]=\$\: 200-\$\:144=\$\:56[/tex].
Evelyn worked [tex]8[/tex] hours lifeguarding. She can work a maximum of [tex]15[/tex] total hours. So, she can work [tex]15-8=7[/tex] hours.
Evelyn earns [tex]\$\: 11[/tex] per hour tutoring.
So, total money earned by tutoring [tex]=\$\: 11\times 7=\$\:77[/tex].
Therefore, the total money earned [tex]=\$ \:144+\$\:77=\$\:221[/tex].
Hence, Evelyn can work a maximum of [tex]7[/tex] hours tutoring.
Answer:
The answer would be 7 hours tutoring. :)
Step-by-step explanation:
Jessica earned some money babysitting. She spent 1/5 of her money on lunch. She spent 1/6 of her money on gas for her car. She saved the
remaining $78.40. How much money did she earn babysitting
Find the number of ways 5 men and 4 women can be arranged in a line if the men and women must alternate.
Answer:
man women man women man women man women man
Step-by-step explanation:
hope it helps
Answer:
As there are 5 men and 4 women and they have to arrange a line, they should be positiones like this to be alternated:
MAN - WOMAN- MAN - WOMAN - MAN - WOMAN - MAN - WOMAN - MAN
In the first position they can be put 5 mans, but in the third, 4, as one has been put before, and in the fifth 3, and in the seventh 2 and in the ninth one.
In the second position they can be put 4 women, then 3, then 2 and then one.
We can multiply this:
5 * 4 * 4 * 3 * 3 * 2 * 2 * 1 * 1 = 2880
There are 2880 possibilities to form a line alternating them..
Help please pleseee