Answer:
3, 4, and 5 make a right triangle (Pythagorean triple). 3 and 4 are the legs, 5 is the hypotenuse. Another example is 9, 12, 15, with 9 & 12 as the legs and 15 as the hypotenuse on a right triangle.
Step-by-step explanation:
Pythagorean triples (measurements are whole numbers) are always in a 3:4:5 ratio; the longest side is always hypotenuse; the right angle is always opposite of the hypotenuse; the legs will be perpendicular (making right angle)
If your car gets 28 miles per gallon and you travel 30 miles round-trip to work five days a week, how much do you pay each 4-week
month if gas is $3.05 a gallon? (Round your answer to 2 decimal places.)
please help
Answer:
You'd pay $65.35 every 4 weeks
Step-by-step explanation:
First you have to gather all the miles.
30 miles x 5 = 150
So that is 150 miles/per week
Then you have to devide the miles by how many gallons per gas you travle.
150/28 miles per gallon = 5.3571....
That how many gallons you'll need a week.
Now, you times the gallons by the price of the gas
5.3571... x $3.05 = $16.3392...
Finally you times the amoutn of money for a week time 4 weeks.
$16.3392... x 4 = $65.35 (to the two decimal mark)
Hope this helped you! : )
What is
100 + 100
Please I can't solve it.
Answer:
200
Step-by-step explanation:
Answer:
100+100 is 200 because if you add 100 to another 100 you will get 200 :)
In 1998, the population of country C was 38 million, and the exponential growth rate was 1% per year
Answer:
Step-by-step explanation:
Formula for the exponential graph is given by the function,
[tex]P(t) = P_0(1 + r)^t[/tex]
Where [tex]P(t)[/tex] = population after 't' years
[tex]P_0[/tex] = Initial population
r = rate of increase
t = Number of years
In 1988, population of a country C was 30 million.
A). Function for the population will be,
[tex]P(t)=38(1+0.01)^t[/tex]
[tex]=38(1.01)^t[/tex]
B). Population in year 2020,
[tex]P(22)=38(1.01)^{22}[/tex]
= 47.30 million
C). Doubling time means the duration in which [tex]P_0[/tex] becomes [tex]2(P_0)[/tex].
[tex]P(t)=2P_0[/tex]
[tex]2P_0=P_0(1.01)^t[/tex]
[tex](1.01)^t=2[/tex]
By taking log on both the sides of the equation,
t[log(1.01)] = log2
t = [tex]\frac{\text{log}(2)}{\text{log}(1.01)}[/tex]
= [tex]\frac{0.30103}{0.004321}[/tex]
t = 69.66 years
The beginning balance of Keyshawn's savings account for the month of September was $3900, and it remained this way for the first 11 days of the month. On September 12, Keyshawn made a withdrawal of $700, so his balance changed, and it remained the same for a total of 9 days. On September 20, Keyshawn made a deposit of $1500, so his balance changed again, and it remained the same for a total of 10 days to finish out the month. Keyshawn's savings account has an APR of 3.65%, calculates interest daily, and pays interest at the end of the month. Keyshawn wants to calculate the amount he earned in interest during the month of September.
Part I: What interest rate does Keyshawn's savings account pay per day?
Part II: How much did Keyshawn earn in interest during the first 11 days of September?
Part III: How much did Keyshawn earn in interest during the next 9 days of September?
Part IV: How much did Keyshawn earn in interest during the last 10 days of September?
Part V: How much did Keyshawn earn in interest during the month of September?
Answer:
1. 3.65%
2. 14,235
3. 49402.75
4. 185,795.04
5. 181,895.0375
Step-by- step explanation:
50 POINTS ASAP BRAINLIEST
State how many imaginary and real zeros the function has.
f(x) = x^3 + 5x^2 + x + 5
0 imaginary; 3 real
1 imaginary; 2 real
3 imaginary; 0 real
2 imaginary; 1 real
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
find the value of each missing variable.
Answer:
The value of x is 17 and that of y is 8.
Answer:
x=17 y=8
Step-by-step explanation:
Mary paid $349.99 for 6 patio chairs. How much did each chair cost her?
Answer:
Are you serious?
Step-by-step explanation:
That's pretty much unanswerable.
Answer:
$58.33 per chair
Step-by-step explanation:
Every year, the population of a small town doubles. It starts off with 150 people. How many people are in the town in 7 years?
Answer:
1050
Step-by-step explanation:
Multiply 150 by 7
[tex](789) \times 2575 - 58 )[/tex]
7+69+420
Answer: 496
Step-by-step explanation:
Steven bought nuts last week, consisting of 3.37 pounds of cashews, 2.6 pounds of almonds, and peanuts that weighed 7.89 pounds. What is the total weight, in pounds, of the nuts that Steven bought last week?
Answer:
13.86 pounds
Step-by-step explanation:
3.37 + 2.6 = 5.97
5.97 + 7.89
= 13.86
Hope this helps!!
Similar triangles can have congruent angles and congruent sides.
True or false
Answer:
True
Step-by-step explanation:
I had the same question on my test :)
(Reason why it's true)
Similar triangles can have the S.A.S (Side, angle, side). They can even.
Answer:
True!
Step-by-step explanation:
What is the best estimate for 34 2/3÷ 4 4/5?
Answer:
7.2
Step-by-step explanation:
Answer:
7 2/9; estimate is about 7
Step-by-step explanation:
convert mixed numbers to improper fractions
(whole number × denominator + numerator)
104/3 ÷ 24/5
copy dot flip
104/3 × 5/24
multiply numerators
520
multiply numerators
72
520/72
convert back to mixed numbers
7 16/72
simplify
7 2/9
Find the distance between the points -6.2 and -9.8. Show your work.
Answer:
3.6
Step-by-step explanation:
subtract the numbers
Which expression represents “3 more than twice a number”?
Answer:
I think the answer is this 2x+3
The length of a rectangle is four times its width. if the perimeter of the rectangle is 90 cm, find its length and width
Answer:
length 36, width, 9.
Step-by-step explanation:
you are trying to find "X" and it's 4 times the size of y, the whole thing is equal to 90. it would look like this
y=4x
y(4x) + x = 90
5x=90
90/5= 18
the rest is the "y" value, 72.
divide both by 2 because rectangles have 4 sides, and you get the answer above.
Write an equation in slope-intercept form that is parallel to y=2x-5 and
passes through (3,4) *
Step-by-step explanation:
An equation in slope intercept form that is parallel to y=2x-5 is y=2x-2
The manager of the BiLo Supermarket in Mt. Pleasant, Rhode Island, gathered the following information on the number of times a customer visits the store during a month. The responses of 51 customers were: 5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12 a. Starting with 0 as the lower limit of the first class and using a class interval of 3, organize the data into a frequency distribution. b. Where do the data tend to cluster? 12 up to 15 15 up to 18 3 up to 6 6 up to 9 0 up to 3 9 up to 12 c. Convert the distribution to a relative frequency distribution. (Round your answers to 2 decimal places.)
Answer: kindly check explanation
Step-by-step explanation:
Given the data :
5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12
Frequency and relative frequency table can be found in the attachment below.
b. Where do the data tend to cluster?
3 up to 6
Holly has 38 pecans. She has 5 friends coming to visit. If Holly and her five friends each eat an equal number of pecans, about how many pecans will each person eat?
Answer: The answer is 6.3
In a chemistry lab, each of the 49 students need 80ml of acid. How many 1 l bottles of acid need to be ordered?
Answer:
49x0.08= 3.92 l
Step-by-step explanation:
so, you must order 4 bottles
Answer:
4 bottles
Step-by-step explanation:
49×0.08=3921
Helppppppppp pleassseee
Answer:
D.) SSS
Step-by-step explanation:
Considering the proof tells us that many sides seem congruent to each other, I am led to believe these triangles are congruent due to SSS.
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.Using the same fruit bowl, Carol wrote the ratio 5\11 .What could Carol's ratio represent?
Answer:
5 of the 11 fruit are oranges
Step-by-step explanation:
Answer:
I know who you are your doing a test
Step-by-step explanation:
The price of a Technology stock was $9.73 yesterday today the price Rose to $9.80 find the percentage increase round your answer to the nearest tenth of a percent
Ill MARK BRAINLIST PLS HELP !!!
Answer:
This question is pretty simple, half the values given are just to confuse you
notice that we are given a function which gives us the height of the rock at any given time, so if we use that function for t=2 seconds, we will get the height of the rock after 2 seconds
We are given the function:
h(t) = -16t² - 50t + 220
replacing t with 2
h(2) = -16(2)² - 50(2) + 220
h(2) = -16(4) - 100 + 220
h(2) = -64 - 100 + 220
h(2) = 56 feet
Therefore, the height of the rock 2 seconds after throwing is 56 m
7th grade mathhh help me plzzz
Answer:
40 degrees
Step-by-step explanation:
Answer:
40°F
Step-by-step explanation:
If you add 15 to -15 it's 0 and if you add another 15 that's 15 and if you add a 10 it brings it up to 25.
if 3 kg of beans cost $1.50, how much does two kg cost?
Answer:
$1
Step-by-step explanation:
1.50/3=0.5
unit price is $0.5
$0.5 * 2 kg = 1
Answer:
$1
Step-by-step explanation:All you do is divide 1.5 by 3 and you get .5 and because you need the cost for 2 kg you would add .5+.5=1
ny
10 Instructor-created question
10
For the functions f(x)= - 6x +9 and g(x) = 7x + 9 find the following.
09
(a) (fog)x)
Ur (b) (g of)(x)
nalty 25 (a) (fog)(x)=(Simplify your answer.)
tions: 10
(b) (gof)(x)=(Simplify your answer.)
I’m very sorry but I don’t understand
Step-by-step explanation:
Whats 2x2 i will give you 14 points
Answer:
4
Step-by-step explanation:
2×2=4
hope that helped
Answer: 4
Step-by-step explanation: 2 x 2 = 4 dummy
what is 3 wholes and 3/10+ 1/2
Answer:
Improper Fraction: 19/5 Mixed number: 3 and 4/5
Step-by-step explanation:
1. Convert to improper fraction= 33/10
2. 1/2 is also equal to 5/10
3. add 33/10 and 5/10 = 38/10
4. Simplify = 19/5
I hope this helped!
graph the line 8x + 2y =16
Answer:
use Desmos its a graphing calculator
Step-by-step explanation: