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Algebra
Factor
Factor the polynomial.
(
x
+
3
)
(
x
+
5
)
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789≤
456/^×>∩∪
123-+÷<π∞
,0.%=
Factor
x
2
+
8
x
+
15
+
0
Regroup terms.
x
2
+
0
+
8
x
+
15
Add
x
2
and
0
.
x
2
+
8
x
+
15
Factor
x
2
+
8
x
+
15
using the AC method.
Tap for fewer steps...
Consider the form
x
2
+
b
x
+
c
. Find a pair of integers whose product is
c
and whose sum is
b
. In this case, whose product is
15
and whose sum is
8
.
3
,
5
Write the factored form using these integers.
(
x
+
3
)
(
x
+
5
)
Answer:
(x+3)(x+5)
Step-by-step explanation:
PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.
Answer:
0.01%
Step-by-step explanation:
y=a (0.5)^t/5730
y=a [(0.5)^t/5730]
when you put 0.5^1/5730
it'll give you 0.99
The "equation" is y=a(1-r)^t
so 1-0.99 is 0.01
The percent of carbon-14 released each year will be 50.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The equation is given below.
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]
Where 'a' is the initial amount (in grams) and 't' represents the number of years.
The equation is also written as,
[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]
The percent of carbon-14 released each year will be 50.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
$500 12% 3years what is the interest
Answer:
$180 is the Interest.
Hope it helps!
Answer:
702
Step-by-step explanation:
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3
Answer:
They are both identical cubes which makes it much easier.
Work out the volume for just one first.
The formula for volume is:
l x w x h
However, since it is a cube, all lengths are the same.
3 x 3 x 3 = 27
Now multiply it by 2 to get the volume of both combined:
27 x 2 = 54.
In short, your answer is 54cm 3
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
13) Find the measure of an exterior angle of a regular 20-gon.*
360
n
A) 18°
OB) 20°
0 C) 162
A factory increased its production by 22%and produced 4900tonnes. How many tonnes was it producing before
Answer:
whfjajfigiiwitohoeirtiririri neji
A triangle has a base of 3 inches and an area of 5 to square inches. Find the height of
the triangle. Show your reasoning.
Answer:
Four Is The Answer
Step-by-step explanation:
Thx Me Later
together dien and jane eat 2/3 a pizza in 4 seconds. how long would it take each of them to eat the whole pizza alone if jane can eat a pizza 5 seconds faster than dien?
BRAINLIEST WILL BE GIVEN
Answer:
10 secs for Jane and Dien is 15 secs
Step-by-step explanation:
Using the together rate, it is found that Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are:
Dien's rate: 1/x+5.Jane's rate: 1/x.Together rate: (2/3)/4 = 1/6Hence:
[tex]\frac{1}{x + 5} + \frac{1}{x} = \frac{1}{6}[/tex]
[tex]\frac{x + x + 5}{x(x+5)} = \frac{1}{6}[/tex]
[tex]\frac{2x + 5}{x^2 + 5x} = \frac{1}{6}[/tex]
[tex]x^2 - 7x - 30 = 0[/tex]
[tex](x - 10)(x + 3) = 0[/tex]
The positive solution is x = 10, hence Jane can eat a pizza in 10 seconds and Dien in 15 seconds.
More can be learned about the together rate at https://brainly.com/question/25159431
Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain your thinking.
1) Suppose that you have a new candy jar with the same ratio of Jolly Ranchers to jawbreakers that Mrs. Pascal had but it contains 100 Jolly Ranchers. How many jawbreakers would you have?
Answer:
260 jawbreakers
Step-by-step explanation:
The ratio is 5:13 so if the value of Jolly ranchers increased 20x then the number of jawbreakers would also increase by 20x. There are 260 jawbreakers.
A photo is 15 centimeters high and 9 centimeters wide. Mikael wants to proportionately shrink it so its height is 6 centimeters high. How wide would it then be? Find the missing measurement using a proportion
Answer:
6:3.6
Step-by-step explanation:
The hight of the photo=15
so,15=6
15 :- 2.5=6
9 divided by 2.6= 3.6
therefour, the answer will be 6:3.6
please help me lol it’s due today
Answer:
0091880102993201019200299219191
[tex]1 \times 666 = 1000[/tex]
Step-by-step explanation:
1+1
A bag is filled with red,blue,and green marbles.
Red-70
Blue-120
Green-60
Marble is pulled out of random from the bag. What REDUCED fraction and percent represent the probability that the marble will be green?
HELPpppppp!!!!
please help me on this will give you brainliest!!
Answer:
a) -13 B) 82
Step-by-step explanation:
a) -34+21= -13
b) 73+9= 82
Which of the following is the slope of the line that passes through the points (- 2, 8) and (10, - 1)
(1) -1/2
(2)-3/4
(3)7/8
(4)9/8
Answer:
2. -3/4
Step-by-step explanation:
slope formula is y2-y1/x2-x1
-1-8/10-(-2)
simplify the two negatives make a positive
-9/12
simplify
-3/4
Ava owns a small business selling clothing. She knows that in the last week 35 customers paid cash, 13 customers used a debit card, and 5 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.
Answer:
Why dont you just do the steps
Step-by-step explanation:
First you have to add it all together then take your second number, aka 35 which gives you
35/53 which then you just get your fraction from that
Probability of next customer paying cash is [tex]\frac{35}{53}[/tex].
Given that,
Number of customer paid cash (a) is 35.Number of customer paid by debit card (b) is 13.Number of customer paid by credit card (c) is 5.According to the scenario, computation of the given data are as follows,
Probability of next customer paying cash = [tex]\frac{a}{(a+b+c)}[/tex]
By putting the value, we get
Probability = [tex]\frac{35}{(35 + 13 + 5)}[/tex]
= [tex]\frac{35}{53}[/tex]
Learn more about probability : https://brainly.com/question/24361544
Which best describes the association shown in the scatter plot?
A. no association
B. strong positive
C. moderate positive
D. strong negative
Answer:
strong negative
Step-by-step explanation:
The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?
Answer:
C. ΔFGH~ΔJKL
Step-by-step explanation:
Find the area of this figure.
A = in^2
Answer:
34
Step-by-step explanation:
Answer:
[tex]34in^2[/tex]
Step-by-step explanation:
First, you should find the area of the trapezoid which the formula for that is:
[tex](b1 + b2)h/2[/tex]
So, you will ad up 7in and 3in, and you should get 10in.
Now multiply 10 in by the height which is 5in, so it will be 50in^2. Then you have to divide that by 2 turning it into 25in^2.
For the top part, it is basically a triangle so you just multiply 3 by 6, giving you 18/2 = 9in^2
Add the two together and you should get 34in^2
pls answer this....................................................................................................................................................................................................................................................................................................................................................................................is -5x+10 proportional and if it has a positive y intercept
Answer:
d) the graph will not pass through (0, 0).
Step-by-step explanation:
a non-proportional graph doesnt start at 0/doesnt go through the origin.
$750 was earned in interest over 3 years. Find the interest rate if $5,000 was originally invested
Answer:
5% intrest yearly
Step-by-step explanation:
Find the indicated side of the triangle
Answer:
It's a 30-60-90 triangle so x=6
Step-by-step explanation:
Answer:
90 I think bc I saw the right angle
What is the variables in the expression
x2 + y - 2 - 16
Answer:
The variables in your equation are x and y;
the numbers in your equation are 2, -2, and -16
27=15+n I can not get this one ether
Answer:
n= 12
Step-by-step explanation:
27=15+n
step 1. simplify
27=n+15
step 2. flip the equation n+15=27
step 3. subtract 15 from both sides
n+ 15 - 15 = 27 - 15 =
n=12
Answer:
12.
Step-by-step explanation:
We don't have the other number, so we must do the reverse operation, which is subtraction. So we have to subtract 27 from 15. 7-5 is 2, and 20-10 is 10. Add those together and you get 12.
Please solve the proof in the picture. It uses either all of the lines or all but one.
Answer:
we cant see the picture-
Step-by-step explanation:
Answer:
Step-by-step explanation:
so do i download it?
Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?
Answer:
228.64 ft
Step-by-step explanation:
Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.
Given that t = 4s and t = t1 + t2.
So t1 + t2 = 4 (1)
Also s = 16(t1)² and t2 = s/1100
Thus t2 = 16(t1)²/1000
From (1), t2 = 4 - t1
So 4 - t1 = 0.016(t1)²
0.016(t1)² + t1 - 4 = 0
(t1)² + 62.5t1 - 250 = 0
Using the quadratic formula to find t1,
[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]
Since t1 cannot be negative, t1 = 3.78 s
So, s = 16(t1)²
= 16(3.78)²
= 16(14.29)
= 228.64 ft
how do you know 3001x25 is (whatever the answer you get) without using a calculator
explain
Answer:
75,025
Step-by-step explanation:
There are many ways to solve this equation, you can divide 3001 by 4, this way you will know how many hundereds will be in your answer. 4*25=100, so in this case, 3001/4 is 750.25. Then you multiply 750.25 by 100. 750.25*100=75,025.
A scale model NASA is working on for the space shuttle is built in the ratio of 1:15, meaning the actual space shuttle is 15 times larger. If the rocket fuel container on the model is 5 inches long, how many inches long is the rocket fuel container on the actual space shuttle?
Answer: 75 inches
Step-by-step explanation:
From the question, we are informed that a scale model NASA is working on for the space shuttle is built in the ratio of 1:15.
If the rocket fuel container on the model is 5 inches long, the number of inches long is the rocket fuel container on the actual space shuttle will then be:
= 5 × 15.
= 75 inches
I'm not sure what the answer is. If you know, please help me out.
Answer:
Is y = (x+8) (x+3)
Answer:
1. y=(x+8)(x+3)
Step-by-step explanation:
Problem to solve:
Paul’s dad drives on the highway at an average rate of 70 miles per hour. If the entire trip is driven on a highway, how many driving hours will be required for the trip
Answer:
The answer would be based off of how many miles the dad went so if he went to say 140 miles then it would be 2 hours.
Step-by-step explanation:
Just go to your calculator and divide how many miles he went by 70 then it will give you the amout of hours he went.
Have a great day! :)
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-1, -11), (16, -8)
Answer:
m = 3/17
Step-by-step explanation:
M = -1y/-11c + 16y/-8x = 3/17
the sum of three plus three times x equals 129 which color
Answer:
Yellow I think
Step-by-step explanation:
(3+3)*x=129