Answer:
Proved
Step-by-step explanation:
Given
[tex](2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Required
Prove
On the right hand side, we have:
[tex]2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Rewrite:
[tex]2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Apply law of indices
[tex]6* 10^{2+5} = 3.5 * 10^7 + 2.5 * 10^7[/tex]
[tex]6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Express 6 as 3.5 + 2.5
[tex](3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Open bracket
[tex]3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7[/tex]
Proved
Help please I give brainliest
Answer:
A) No Association
Step-by-step explanation:
Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.
Hope it helps!
Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit
Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
• How do you write the mixed number shown as a fraction greater than l? 3 4
Answer:
[tex] \frac{14}{4} [/tex]
simplified [tex] \frac{7}{2} [/tex]
Step-by-step explanation:
To turn a mixed number into a fraction :
[tex]3\frac{ + 2}{ \times 4} [/tex]
3 x 4 =12 +2 =14 that will be your numerator (top number on a fraction)
and 4 will be your demoninator (bottom number)
Can someone please help me what's the answer?
Answer:
k=77
Step-by-step explanation:
put this as the equation k/11=7
what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.
Pls help due in 5 min
What is the total amount of the most common amount and the least common amount of milk drank daily?
Answer:
50/87
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Answer:
1
12 ------
3
Which shapes can the composite figure be divided into to find the area?
O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles
How to covert feet into miles
Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has 3 g of carbohydrates per ounce and watermelon has 2 g of carbohydrates per ounce. Write and graph an equation to model this situation.
Answer:
3x+2y=24
Step-by-step explanation:
I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.
2y=24 and 3x=24, so x=8 and y=12. Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!
What is the area of the triangle?
6
2
3
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
There are 20 pieces of fruit in a bowl and 8 of them are
bananas. What percentage of the pieces of fruit in the
bowl are bananas?
5x (-3)
A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
B.The temperature change as it decreases 5 degrees every hour for 3 hours
С. A child grew 3 inches each year for 5 years
D.The change in elevation of a submarine as thinks 3 meters every second for 5 seconds
Answer:
you're answer is negative 15
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
The function g(x) is defined as shown.
StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout
What is the value of g(0)?
−2
−1
3
6
Answer:
B:-1
Step-by-step explanation:
Just took test 2021
Answer:
Step-by-step explanation:
The given function is a piecewise function with characteristics that vary with the value of x.
Please find attached the graph of h(x).
Reasons:
The given information is presented as follows;
From the above piecewise function, we have;
For x ≤ 0, the slope of the graph of h(x) =
For 0 < x ≤ 3, the slope of the graph of h(x) =
For x ≥ 4, the slope of the graph of h(x) =
Therefore, as we progress from left to right, the slope of h(x) increases and
the slope of the graph becomes steeper.
The graph of h(x) is plotted with the given equations using MS Excel as
shown in the attached diagram.
How do you solve 3n-4=14! I need it explained
Answer:
n=6
Step-by-step explanation:
3n-4=14
Add 4 to both sides;
3n-4+4=14+4
Simplify;
3n=18
Divide both sides by 3
3n/3=18/3
Simplify;
n=6
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
A(t) = P (1+r/n)nt
Can someone help me with these two one step equations? I will give brilliant
Answer:
1.) p = 88.66
2.) m = 17
Step-by-step explanation:
1.) p - 23.76 = 64.9
p - 23.76 + 23.76 = 64.9 + 23.76
p = 88.66
2.) m + 78 = 95
m + 78 - 78 = 95 - 78
m = 17
Hope this helps and stay safe, happy, and healthy, thank you :) !!
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
Y - 5= - (5 - y)
Does it have a solution?
Answer:
infanite
Step-by-step explanation:
The receipt below shows the money, in dollars, spent by a customer at the good groceries stores
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
can somebody help me?
The opposite sides of a parallelogram
are
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.
Answer: $16,244.55
Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
ANSWER PLS HELP NOW PLS
A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?
Show your work for full points or brainlyest answer
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4(X+5) = 144 (if on side measures (x+5) then P will be the 4 sides added
so adding the same value repeatedly means multiplication.
- Distribute: 4x + 20 = 144
- Inverse op. to isolate the variable minus 20 from both sides
- 4x = 124
- Divide by 4 on both sides
- 124/4 = 31
- x = 31 units