Answer:
2 2/5
Step-by-step explanation:
2 24/60 = 2 2/5
there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5
(5-8) (1,4) m = -3
find the slope
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)
Answer:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)
Step-by-step explanation:
f(x) = 4x^3 + 11x2 - 104x + 105
has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:
-7 / 4 11 -104 105
-28 119 -105
-----------------------------------
4 -17 15 0
Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:
5 / 4 -17 15
20 15
-------------------------
4 3 30 No, the remainder is 30 and so 5 is not a
root of this quadratic. Try the divisor 3 instead:
3 / 4 -17 15
12 -15
---------------------------
4 -5 0 Yes, the remainder is 0 and so 3 is a root.
Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:
f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
What unit should be used to calculating fundraising for field trip
Answer:
the mcps i think
Step-by-step explanation:
Im not sure :/
please help me! where are the black dots located?!
the bottom square: -6,-5
the top square: -2,1
Whats 4x+2=2(x+6) ?
Just want to see your answers
Answer:
x = 5
Step-by-step explanation:
4x + 2 = 2(x + 6)
4x + 2 = 2x + 12 (after you distribute the 2)
add and subtract like terms
4x - 2x = 12 - 2
2x = 10
x = 5
you can double check by substituting the x with 5 in the equation
4 (5) + 2 = 2(5 + 6)
20 + 2 = 2(11)
22 = 22
PLEASE HELP ME WITH THIS I HATE SCHOOL
Answer:
B.)[tex]\sqrt{245}[/tex]
Step-by-step explanation:
[tex]\sqrt{245}[/tex]=15.65
7[tex]\sqrt{5}[/tex]=15.65
Hope this helps! :)
Answer:
its is B
Step-by-step explanation:
I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)
Show work. Will mark branliest
Answer:10
Step-by-step explanation:
12 x 30 to see how many bottles per hour
360 x 8 to see how many it makes in a day
Divide 28,000 by 2,800 to see how many days it would take.
Step-by-step explanation:
first u will find how much bottles in 8 hours so that will be 60/2minutes =30so 30*12ottles=to 360 bottles per hour so 8*360=2,880 so u will do 28,000/2,880 it will be. 10 days of work.
i rlly need a worded story thingy that equals 2361.
E.g. Jack had 3 apples he a 2 how many apples does he have left ??
That type thing
THANKS xx
Your family got a coupon for 35% off at Red Robin. Your bill comes to $45.00 before you use the coupon. Sales tax on the discounted meal is calculated at 8%. You then leave a 15% tip based on the original cost of the meal. How much will dinner and tip cost?
Answer: $38.34
Step-by-step explanation:
Original bill total: $45
35% discount: $15.75
subtotal: $29.25
sales tax: 8% of $29.25: $2.34
bill for meal: $29.25 + $2.34 = $31.59
Tip: 15% of original cost of meal: 15% of $45: $6.75
TOTAL COST: $31.59 + $6.75 = $38.34
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
please help me on this will give you brainliest
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
what sin40? round to the nearest hundredth place
Answer:
i don't know just ask the internet
Answer:
0.75
Step-by-step explanation:
original answer: 0.74511316047
A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
Answer:
A closed box is to be made in the shape of a cuboid of height h (in cm) with a rectangular base that has sides of length x (in cm) and 2x (in cm). Its volume is required to be `1000 cm^3
The height of the shipping box is 15 inches.
What is volume of rectangular prism?The volume of a rectangular prism: length x width x height. The volume is expressed in cubic units.
given:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
Now, Volume = Base Area * Height
Height = Volume/Base Area
Height = 9000/(20 * 30)
Height = 15 in
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches.
Learn more about volume here:
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Pls help FAST I’m giving brainliest
eddie who earns $5 per hour worked two hours longer zach who earns $12 per hour. together they earn $30
Finance the formula in exercise 17 is the formula for computing simple interest, where I is interest P is principle of amount invested, r is the interest rate and t is the same tm in years. Find the amount of interest earned if you were to invest $5000 at 6% interest for 3 years.
Answer:
$900
Step-by-step explanation:
Given that:
Principal, p = 5000
Interest, r = 6%
Period, t = 3 years
Using the relation :
Simple interest = Principal * Rate * Time
Simple interest = $5000 * 0.06 * 3
Simple interest = $900
Hence, amount of interest earned = $900
what is the square root of 4.84
Answer:
2.2. Hope it helps :D
I can't figure it out.
2x+2y=2
-4x+4y=12
Answer:
how to solve 2x+2y=2 , -4x+4y=12
this is solving equations using substitution .... i have ALOT more but i juss dnt get this stuff
2x + 2y = 2 -4x + 4y = 12
x + y = 1
x = 1 - y
-4x + 4y = 12
-4(1 - y) + 4y = 12
(-4 + 4y) + 4y = 12
-4 + 8y = 12
8y = 16
y = 2
2x + 2y = 2
2x + 2(2) = 2
2x + 4 = 2
2x = -2
x = -1
Check.
-4x + 4y = 12
-4(-1) + 4(2) = 12
4 + 8 = 12
Answer: x = -1 and y = 2
Step-by-step explanation:
HELP meeeeeeeeeeeeeeeeeeeee
Answer:
first:
a)
second:
b)
Step-by-step explanation:
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
The angle of depression from a window 10 m above the ground to a coin on the ground is
15°. Find the distance of the coin from the base of the building.
Answer:
37.3 m
Step-by-step explanation:
Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:
Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
Tan 15 = [tex]\frac{10}{x}[/tex]
0.2680 = [tex]\frac{10}{x}[/tex]
x = [tex]\frac{10}{0.2680}[/tex]
= 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
Write an equation of the line that passes through (2, 1) and is parallel to the line y=2x+7.
Answer: y=2x-3
Step-by-step explanation:
Helllllllp
Simplify the expression 43 + 2(3 − 2).
14
16
66
68
Answer:
68
Step-by-step explanation:
Answer:
The answer is 46...i cant find that answer in the choices though
Step-by-step explanation:
In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this
43 + 2 + 1
Which equals 46
hope this helps. have a good day
‼️help please.‼️What is the slope-intercept equation of the line with a slope
4
of and a y-intercept of 3?
5
Answer:
C
Step-by-step explanation:
according to the standard equation;
Y=mX+C
or, Y=4/5X +3
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
Find the value of x
A. 5 square root 2/2
B 5
C 10
D 10 square root 2
Answer:
The answer is C
Step-by-step explanation:
That side with the 5 is equal to 7.071067812.... (irrational number)
To get x you need to use the equation a^2 + b^2 = c^2
A^2 and B^2 will both be the same thing. The red line indicates they are the exact same length.
7.071037812.... ^2 is 50
Now your equation would be 50+50= c^2 (which is the same as x^2)
100= c^2 is simplified by finding the square root of 100.
Your answer is 10 for side X because the square root of 100 is 10.
This problem was solved using the Pythagorean Theorem.
The hypotenuse x of the right triangle is (c) 10
Finding the hypotenuse, x of the right triangleFrom the question, we have the following parameters that can be used in our computation:
The right triangle
Where, we have
Leg a = 5√2
Leg b = 5√2
The hypotenuse of the right triangle can be calculated using the following Pythagoras theorem
h² = a² + b²
Using the above as a guide, we have the following:
x² = (5√2)² + (5√2)²
Evaluate
x² = 100
Take the square roots
x = 10
Hence, the hypotenuse of the right triangle is (c) 10
Read more about right triangle at
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- A unicycle tire has a radius of 13 inches. About how far will the unicycle travel in 20 rotations?
F.1633 inches
G.10,613 inches
H.82 inches
J.520 inches
Answer:
1061.32 you made a typo on G
Step-by-step explanation:
To find the distance travelled by the tire we need the circumference of it
The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13
we plug the numbers in and get
2* 3.14* 13
6.28*13
81.64
81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32
Im guessing number G was supposed to be 1061.32 instead of 10,613
if an object has a volume of 20 cubic inches and weights 28ounces what is the constant variation
Answer:
7/5 is the constant variation.
Hope this helps! Have a great day!
(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120