Answer:
4.5×10¹¹
Answer:
[tex](5 \times 10 {}^{3} ) \times (9 \times 10 {}^{7} )[/tex]
i) use the commutative property to rearrange the terms: a+b = b+a
[tex](5 \times 9) \times (10 {}^{3} \times {10}^{7} )[/tex]
ii) multiply the number in the 1st bracket
[tex]45 \times ( {10}^{3} \times 10 {}^{7} )[/tex]
iii) multiply the 2nd bracket by adding their exponents
[tex]45 \times 10 {}^{3 + 7} [/tex]
[tex]45 \times 10 {}^{10} [/tex]
iv) write the answer in standard form
[tex]4.5 \times 10 {}^{10 + 1} [/tex]
[tex]4.5 \times {10}^{11} [/tex]
The given equation that should be in the standard form should be like a [tex]4.5\times 10^{11}[/tex].
Equation in standard form:Since
The equation is [tex](5\times 10^3) \times (9\times 10^7)[/tex]
Now here we use the commutative property
So,
[tex]45 \times (10^3 \times 10^7)\\\\45 \times 10^{10}\\\\4.5 \times 10^{11}[/tex]
Here, we multiply the number in the 1st bracket, then add, it and then finally in standard form.
Learn more about an equation here: https://brainly.com/question/24271130
one factor of 8x^3+1 is 2x+1 The other factor is?
The hemmings borrowed $3 000 for home improvements. They repaid the loan and $600 in simple interest four years later. What simple annual interest rate did they pay
Answer:
5%
Step-by-step explanation:
Given that:
Principal = $3000
Simple Interest paid = $600
Period = 4 years
Simple interest = principal * rate * time
$600 = $3000 * rate * 4
$600 = $12000 * rate
Rate = $600 /$12000
Rate = 0.05
Hence, simple interest rate paid = (0.05 * 100%) = 5%
In the equation y=2X+7 which
number is the slope?
Slope (m)
Answer:
2 is the slope
Step-by-step explanation:
the equation is y=mx+b so if it is
y= 2x+7 that means the slope is 2
Answer:
2
Step-by-step explanation:
This equation is in y=mx+b form.
Slope = m
Y-intercept = b
This will give you the slope of 2 :)
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?
9514 1404 393
Answer:
19.5 hours
Step-by-step explanation:
The number in the dish at time t (in hours) can be described by ...
n(t) = 100·2^(t/26)
We want to find t such that ...
n(t) = 168
100·2^(t/26) = 168
2^(t/26) = 1.68 . . . . . . divide by 100
(t/26)log(2) = log(1.68) . . . . . take logarithms
t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t
t ≈ 19.5 . . . hours
It would be about 19.5 hours until there are 168 bacteria.
Y=|x+2|-3 find the axis of symmetry
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
(-4,6), (r,10) and m = -2. what is r?
Answer:
-6
Step-by-step explanation:
The formula of slope Y2-Y1/X2-X1
so you actually use this formula equal to -2
10-6/X-(-4) = -2
What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.
Answer:
y= -5x/4 + 3
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.
Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].
So y - (-2) = (-5/4)(x - 4) (equation of the line)
y + 2 = -5/4(x - 4)
y + 2 = -5x/4 + 5
y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)
You could also use (8,-7) instead of (4,-2).
help please ill mark brainliest
Answer:
your right that the right answer
Answer:
last one is right please please please mark me brainliest if apreciated
Step-by-step explanation:
This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.
Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.
Answer:
The vertical asymptotes occur at x = 4 and x = -4
The zero of the function is (0, 0)
Step-by-step explanation:
The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]
Therefore, we have;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]
The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows
For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0
Therefore, the vertical asymptotes are the lines x = 4 and x = -4.
The zero of the function is given as follows;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]
Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0
x = 0/4 = 0
Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).
Using PT in the Coordinate System
llus
Find the distance between the two points.
(-1,3)
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
The distance between the two points is [tex]\sqrt{26}[/tex]
Step-by-step explanation:
The formula of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ The points are (-1, 3) and (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = 3 and y2 = 2
→ Substitute them in the formula of the distance above
∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]
∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]
∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]
∴ d = [tex]\sqrt{25+1}[/tex]
∴ d = [tex]\sqrt{26}[/tex]
∴ The distance between the two points is [tex]\sqrt{26}[/tex]
what is 15 feet converted to meters
Answer:
4.572 meters
Step-by-step explanation:
hope it helps, mark brainliest please
Answer:
4.572 meters; 4.6 rounded.
Step-by-step explanation:
Multiply the foot value by 0.3048 or divide by 3.280839895
15x0.3048
=4.572
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
can someone help me with these two problems please!!!!!
Answer:
The question at the top is:
Factor
x 2 + 2 x − 63
using the AC method.
( x − 7 ) ( x + 9)
WHICH THE ANSWER IS (B)
The question at the bottom is:
Factor
x 2 + 18 x + 80
using the AC method.
( x + 8 ) ( x + 10 )
WHICH IS ANSWER (C)
Step-by-step explanation:
Hope this helped! :)
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = [tex]\dfrac{30}{100}[/tex]
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= [tex]\dfrac{30}{100}[/tex]
As a decimal= 0.3
Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?
answers:
1. (-2)(8) + (-2)(6) + (-2)(-3)
2. (-2)(8 + 6) + (-2)(-3)
3. (-2)(8) + (-2)(6 + -3)
4. (-2)(8 + 6) + (-3)
Answer:
4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Can someone help me really quick!?
Answer:
Yes its 2nd, 4th, and 5th
Step-by-step explanation:
Alexandra's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday
afternoon, the cafe sold 80 espressos in all, 64 of which were single-shot. What percentage of
the espressos were single-shot?
Answer: 80%
Step-by-step explanation:
64/80 x 100% = 80%
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
Write in y=mx+b form
Step-by-step explanation:
b =-4 (y-intercept)
x =0
m = 0 (the line doesn't have a slope)
y = mx + c
y = 0(0) + (-4)
y = - 4
You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
( Hint it’s not 3.70!)
Please help!
Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles
Step-by-step explanation:
2/3 of diatance = 10 miles
3/3 of distance = 10 * (3/2) = 15 miles.
The distance between the houses is 15 miles. (B)
Let the total distance covered= x
Distance covered= 10 miles
According to the question,
2/3 of x= 10
=> 2/3 × x= 10
=> 2x/3= 10
=> 2x= 10× 3
=> 2x= 30
=> x= 30/2
=> x= 15
Bob's house is 15 miles away from Henry's house.
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Answer:
(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)
plz solve this question
Step-by-step explanation:
3 is the ans
What is unit rate of 9 cups and 3 batches
Answer:
3 cups per batch
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
What is 9 divided by 3.... 3 ok so that is your answer. Hope this helped you!! Give brainliest..
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation: