Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3} -\frac{3}{4} \\\\\frac{4}{3} -\frac{3}{4} \\\\\frac{16}{12} -\frac{9}{12} \\\\\frac{7}{12}[/tex]
Answer: 2 11/12 or 35/12
Step-by-step explanation:
11/3 - 3/4
44/12 - 9/12
44 - 9 = 35
35/12
2 11/12
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
Please help me ????!!!!!
You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today
Answer:
You have to deposit $8,207.5 today.
Step-by-step explanation:
Compound interest:
The amount of money in yearly compounded interest, after t years, is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial deposit and r is the interest rate, as a decimal.
You would like to have $10,000 in an account after eight years time.
This means that when [tex]t = 8, A(t) = 10000[/tex]
2.5% compounded interest
This means that [tex]r = 0.025[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = A(0)(1+0.025)^t[/tex]
[tex]A(t) = A(0)(1.025)^t[/tex]
How much would you have to deposit today?
We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So
[tex]A(t) = A(0)(1.025)^t[/tex]
[tex]10000 = A(0)(1.025)^8[/tex]
[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]
[tex]A(0) = 8207.5[/tex]
You have to deposit $8,207.5 today.
how much interest does $1,000 earn at an interest rate of 6% compounded semi annually? what is the balance after 2 years
Answer:
Interest = A - P = 1015 - 1000 = $15
Step-by-step explanation:
use the quadratic formula to find the solution to the question
3x^2-10x+5=0
Answer:
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] and [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
Step-by-step explanation:
3x^2-10x+5=0
[tex]x_{1}[/tex] = [tex]\frac{10 + \sqrt{10^{2}-4*3*5 } }{2*3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{10^{2}-4*3*5 } }{2*3}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{100-60} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{100-60} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + \sqrt{40} }{6}[/tex] [tex]x_{2} =[/tex] [tex]\frac{10 - \sqrt{40} }{6}[/tex]
[tex]x_{1} =[/tex] [tex]\frac{10 + 2\sqrt{10} }{6}[/tex] / 2 [tex]x_{2} =[/tex] [tex]\frac{10 - 2\sqrt{10} }{6}[/tex] / 2
[tex]x_{1} =[/tex] [tex]\frac{5 + \sqrt{10} }{3}[/tex] [tex]x_{2} =[/tex] [tex]\frac{5 - \sqrt{10} }{3}[/tex]
FIND THE AREA OF A TRIANGLE
Answer:
80
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
Since no one responds to computer technology. There is a much more active group here and I hope that there are some computer scientists or anyone who can help me. :(
Guys, in a couple of days I need to do an infographic on the topic of where fonts live in pdf? Does anyone have an idea how I could do this, some advice, guidance, anything? Thanks in advance :)
Answer:
hmm just do your best and I'm sure your ace it :D
What will be the total cost of treys on 2 truck when we the price of each trye is 35,00:00
Answer:
45$?
Step-by-step explanation:
12x = 3y - w, solve for x
Answer:
[tex]x = \frac{3y - w}{12} [/tex]
Step-by-step explanation:
[tex] \frac{12x}{12} = \frac{3y - w}{12} [/tex]
[tex]x = \frac{3y - w}{12} [/tex]
What is the value of x in the right triangle shown? 25 cm 7 cm
Answer:
x = 24
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
-49 -49
b^2 = 576
square root them
b = 24, or x = 24
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer: 24
Step-by-step explanation:
A^2 + B^2 = C^2
Scientists conducting a study on global climate change want to determine if there has been an increase in the number of days per year that the temperature in El Paso rises above 100 degrees. In 1981, there were 21 days (5.75%) where the temperature was in the triple digits. The scientists want to know whether this percentage has increased. Which pairs of hypotheses is the most appropriate for addressing this question?
Answer:
The percentage maybe went up because of air pollution, and global warming
Step-by-step explanation:
Which of the following pairs consists of equivalent fractions?
9/12 and 2/3
4/10 and 10/4
9/24 and 21/56
3/4 and 4/5
Answer:
The answer is C have a nice day.
Find the discriminant and the num
x2 + 2x + 7 = 0
A. 28; two real roots
Answer:
Discriminant = -24, no real roots.
Step-by-step explanation:
The discriminant is what's inside the square root in the quadratic formula.
The quadratic formula is:
[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
a = 1
b = 2
c = 7
The question wants the discriminate, we can just focus on the square root part.
When we plug in the parts we got, it becomes:
[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]
Since the inside of the square root is negative, there are no real roots.
using algbera solve 80 divide 10
Answer:
8
Step-by-step explanation:
Jamal and Anna start walking in opposite directions from the same point. Anna walks 0.5 miles every 10 minutes, Jamal Walks 1.2 miles every 30 minutes
How far apart are Jamal and Anna after 1 hour
2/3 + 3/4 + 4/2. If a fraction appears in your answer, it should be in simplified form.
Use the figure below to determine the exact value of the given function sin2 0
Answer:
sin2θ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since, sin2θ = 2sinθcosθ
From the triangle given in the picture,
Opposite side of angle θ = 2 units
Adjacent side of angle θ = 3 units
Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{2}{\sqrt{13}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{3}{\sqrt{13} }[/tex]
sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]
= [tex]\frac{12}{13}[/tex]
What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
Jada was at the state fair from 8:45 am until 11:00 am. How much time did Jada spend at the state fair?
Answer:
Jada spent 3 hours and 15 minutes at the state fair.
Step-by-step explanation:
She started at 8:45 am and left at 11:00 am.
So 8:45 to 9 is 15 minutes.
So how far away is 9 am to 11 am?
11 - 9 = 3
3 hour difference
But remember to add the 15 minutes from the 8:45 to 9
Jada spent 3 hours and 15 minutes at the state fair.
give simplest ratio for 68:34
Answer:
Thus, 2/1 is the simplified fraction for 68/34 by using the prime factorization method.
Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3
Answer:
[tex](g\cdot f) = -3x^2-3[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = -3[/tex]
The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.
We actually want to calculate
[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]
Note
[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]
please help me out ~ 20 points
Answer:
12.5 sq. units
Step-by-step explanation:
Area of a Trapezoid Formula: (see the image attached)
7.5 + 2.5 = 10
10/2 = 5
5(2.5) = 12.5
So, the area of the trapezoid is 12.5 sq. units.
A shipping company borrows £70 million at 5% compound
interest to build a new cruise ship. If it repays the debt
after three years, how much interest will the company pay?
Answer:
10.500.000 libras esterlinas
Step-by-step explanation:
70000000 x 0,05 = 3.500.000
3.500.000 x 3 = 10.500.000
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
These triangles are
congruent by the
triangle congruence
postulate [? ]
Answer:
Option A
Step-by-step explanation:
From the picture attached,
In the given triangles ABC and ADC,
m(∠B) = m(∠D) [Given]
AC ≅ CA [Reflexive property]
But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.
Option A is the answer.
Riku says that a and b have the same value in the equations 0.75(a−2)=5.25 and 34b−32=214. Is Riku correct?
Answer:
riku is is wrong
Step-by-step explanation:
divide each term by 0.75
a-2=5.25/0.75
a-2=7
a=9
34b= 214+32
34b=246
b=123/17
or 7.235
therefore both answers are different
Help please will mark brainliest
PLS ANSWER ASAP THANKS
Answer:
x=54°
Step-by-step explanation:
x+36°=90°
x=90°-36°
x=54°
HOPE IT HELPS U
HAVE A GREAT DAY
there are 120 children standing in a line,every third gets a rubber, every fourth child gets ruler and every fifth gets a book. in what position is the first child that gets all 3 items?
Answer:
60th position is the first child that gets all 3 items
Step-by-step explanation:
Find the LCM of 3 , 5 and 4.
Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60
Answer:
3,6,9,12,
4,8,12,16,
5,10,15,
in 60th position
60is the first number that can be divided by 60/3=20 60/4=15 60/5=12
Solve for the area of the part shaded in purple
Answer:
area of a trapezium
1/2 ( a+b)h
1/2 (15+9)15
1/2 *24*15
12*15
=180
Answer:
180 cm
Step-by-step explanation:
this is because if you find the correct area of the purple rectangular shape first, you would have the equation 15 x 9. this equation will give us an answer of 135 mm. our next step would be to find the area of the triangle.
our equation for this will be 15 x 6. this will give us our answers of 90. but because it is a triangle, we will have to divide by two. given is 45. our new equation will now be 135 + 45 given us our sum of 180 cm for the assumed area.