Answer:
3x(x + 3) = 0
Step-by-step explanation:
3x² + 9x = 0 ← factor out common factor of 3x from each term on the left
3x(x + 3) = 0 ← factored form
What is the approximate percent increase between carbon dioxide levels 150,000 years ago and carbon dioxide levels today
The approximate percent increase between carbon dioxide levels 150,000 years ago and carbon dioxide levels today is about 50%.
Carbon dioxide (\(CO2\)) levels fluctuate naturally over long periods of time due to various factors. Comparing the approximate \(CO2\) levels from 150,000 years ago to today, there has been a significant increase of about 50%. During the pre-industrial era, \(CO2\) levels were relatively stable at around 280 parts per million (ppm).
However, with the advent of industrialization and the burning of fossil fuels, human activities have contributed to the release of large amounts of \(CO2\) into the atmosphere. Currently,\(CO2\) levels have risen to over 400 ppm. To calculate the approximate percent increase, we can use the formula: ((New Value - Old Value) / Old Value) * 100. Applying this formula, the percent increase in \(CO2\) levels from 150,000 years ago to today would be approximately 50%.
Learn more about percent here:
https://brainly.com/question/31323953
#SPJ11
Please help me. You will be marked brainliest.
Answer:
What do you need help with?
Step-by-step explanation:
hi may you help if you can thanks
Answer: A 4 91/100
Step-by-step explanation: its 491/100 because the 100 is 1 and 4 is the number 4 and 91/100 is .91
Write 72xy^2 as a prime factorization. With the steps
I think that this number is already prime.
Step-by-step explanation:
I could be wrong
Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 34% of all fatal accidents of 17-year-olds are due to speeding. x 17 27 37 47 57 67 77 y 34 24 17 12 10 7 5 A button hyperlink to the SALT program that reads: Use SALT. Complete parts (a) through (e), given Σx = 329, Σy = 109, Σx2 = 18,263, Σy2 = 2339, Σxy = 3843, and r ≈ −0.9549. (a) Draw a scatter diagram displaying the data. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.) x = y = y hat = + x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained % unexplained % (f) Predict the percentage of all fatal accidents due to speeding for 40-year-olds. (Round your answer to two decimal places.)
The predicted percentage of fatal accidents due to speeding for 40-year-olds is approximately 2.92%.
(a) Here is a description of the scatter diagram displaying the data:
The scatter diagram shows the relationship between the age of licensed automobile drivers (x) and the percentage of fatal accidents due to speeding (y). The x-axis represents the age of the drivers, and the y-axis represents the percentage of fatal accidents due to speeding. The data points are plotted on the graph, indicating the corresponding x and y values for each data pair.
(b) Given sums and correlation coefficient:
Σx = 329
Σy = 109
Σx2 = 18,263
Σy2 = 2339
Σxy = 3843
r ≈ -0.9549
(c) Calculating x, y, and the equation of the least-squares line:
To find x and y, we can use the given sums:
x = Σx / n = 329 / 7 ≈ 47
y = Σy / n = 109 / 7 ≈ 15.5714
To find the equation of the least-squares line (y hat = a + bx), we can use the formulas:
b = Σxy - (Σx * Σy) / n) / (Σx2 - (Σx)^2 / n) ≈ -0.5755
a = y - bx ≈ 24.7086
Therefore, the equation of the least-squares line is:
y hat = 24.7086 - 0.5755x
(d) Graphing the least-squares line:
The graph of the least-squares line will be a straight line with a negative slope. The point (x, y) will be plotted on the line.
(e) Calculating the coefficient of determination (r^2) and the percentages:
r^2 = (-0.9549)^2 ≈ 0.9119
The coefficient of determination (r^2) represents the proportion of the variation in y that can be explained by the corresponding variation in x and the least-squares line. Therefore, approximately 91.19% of the variation in y can be explained, and the remaining 8.81% is unexplained.
(f) Predicting the percentage of fatal accidents due to speeding for 40-year-olds:
To predict the percentage of fatal accidents due to speeding for 40-year-olds, we can substitute x = 40 into the equation of the least-squares line:
y hat = 24.7086 - 0.5755(40) ≈ 2.917
Therefore, the predicted percentage of fatal accidents due to speeding for 40-year-olds is approximately 2.92%.
learn more about percentage here: brainly.com/question/30348137
#SPJ11
this is my 5star hw please help me
Answer:
1) z=?
using similar triangles:
x / z = (8+x) / 20
20x / (8+x) = z since x=8
z = 20(8) / (8+8) = 160 / 16 = 10
or
Midsegment theorem:
z = (1/2)(20) = 10
2) x = (1/2)(13) = 6.5
or
ratio of similar triangles:
4/ x = 8/13
x = 4(13)/8 = 6.5
3) x = 2(10) = 20
or
similar triangles:
a/10 = 2a/x
ax = 20a
x = 20
4) a/5 = 2a/(x+1)
a(x+1) = 10a
x+1 = 10
x = 10 -1 = 9
5)
similar triangles:
a/31 = 2a/2x
a(2x) = 62a
2x = 62
x = 31
midsegment theorem:
2x = 2(31)
2x = 62
x = 31
Find the value of ccc so that the polynomial p(x)p(x)p, left parenthesis, x, right parenthesis is divisible by (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis. p(x) = cx^3-15x -68p(x)=cx 3 −15x−68
Answer:
c =2Step-by-step explanation:
For the polynomial to be divisible by x-4, hence x = 4
Given
p(x) = cx^3-15x -68
p(4) = c4^3-15(4)-68
p(4) = 64c-128
If p(4) = 0
0= 64c - 128
64c = 128
c = 128/64
c = 2
hence the value of c is 2
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi. 0.3 cm 0.7 cm 2.9 cm 7.1 cm
The arc length of the sector is 7.065 approximately 7.1 cm. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The central angle of π/2 radians in a circle with a radius of 4.5 cm.
Then the arc length will be
\(\rm Arc \ length = \dfrac{\pi /2}{2 \pi} * 2*\pi * 4.5\\\\\\Arc \ length = \dfrac{1}{2} * 3.14*4.5\\\\\\Arc \ length = 7.065\)
Then the arc length is 7.065 approximately 7.1 cm. Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D is the answer
Step-by-step explanation:
No Reason just try it out
Can someone please help me?
9514 1404 393
Answer:
x = 26
Step-by-step explanation:
The sum of the measures of the angles in a triangle is 180°.
(2x)° +50° +(3x)° = 180°
5x +50 = 180 . . . . . . . divide by °, collect terms
x +10 = 36 . . . . . . . . . divide by 5
x = 26 . . . . . . . . . . . . . subtract 10
Find the number that makes the ratio equivalent to 3:2.
:20
Three ratios that are equivalent to 3:2:20 are: 9:6:60 27:18:180 and 81: 54:540 .
What is the ratio?When comparing two or more numbers, the mathematical concept of ratio is applied. It is a comparison tool to show how large or tiny a given quantity is. A ratio compares two amounts by dividing them. Here, the dividend is referred to as the "antecedent" and the "consequent" is the divisor.
Make sure to multiply the denominator and numerator by the same value each time to keep getting equal ratios.
Three ratios that are equivalent to 3:2:20 are: 9:6:60
Multiply the ratios by 9
27:18:180 and 81: 54:540 .
To learn more about ratios visit :
brainly.com/question/1504221
#SPJ13
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:∠KJG and ∠FGJ
Step-by-step explanation:
Alternate interior angles are diagonal from each other and are the same value.
Alternate Interior Angles. ... Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal
here the right answer is option "c" that is
\(angle \: kjg \: and \: angle \: fgj\)
hope it helps you
A kennel has 90 dogs in total, some are puppies and some are adult dogs. The ratio of
puppies to adult dogs in a kennel is 3 : 2. How many adult dogs are there?
step by step please
Answer:
36 adult dogs
Step-by-step explanation:
90÷(3+2)×2
=90÷5×2
=18×2
=36
What is the missing reason in the proof? (Reason 9)
Answer:
transitive property
Step-by-step explanation:
Generally proofs flow naturally from one step to the next. Consequently, each step usually follows from the previous step, and the Reason given justifies why that change is valid.
From statement 8, note that \(90^{o}=m\angle{ABD}\)
For statement 9, the proof asserts that \(m\angle{ABC}=m\angle{ABD}\)
What changed between line 8 and 9? The left side of the equation lost it's 90 degrees, and it became the measure of angle ABC.
So, what justifies changing the 90degrees into a measure of an angle (specifically, the measure of angle ABC)?
Recall from statement 3, that \(m\angle{ABC}=90^{o}\).
The "substitution property" would be a valid reason for step 9, (but of the given options, that isn't one, so we must look for another valid reason).
Recall that the transitive property states:
\(\text{If }a=b\text{ and }b=c, \text{then }a=c\)
There are three parts,
1. the first part needs a=b
2. the second part needs b=c
3. the third part produces a=c
Notice that in the second part, b=c, and then for the third part, on the left side, the "b" disappears, and the "a" sort of appears out of nowhere.
Statement 8 is like the second part, and statement 9 is like the third part.
Replacing "a" with \(m\angle{ABC}\), replacing "b" with \(90^{o}\), and replacing "c" with \(m\angle{ABD}\), we can update the transitive property and see how it applies to our situation:
Original transitive property: \(\text{If }a=b\text{ and }b=c, \text{then }a=c\)
Updated transitive property: \(\text{If }m\angle{ABC}=90^{o}\text{ and }90^{o}=m\angle{ABD}, \text{then }m\angle{ABC}=m\angle{ABD}\)
In order to use the transitive property, we need the first part and the second part to be true, and then it will be a valid reason for the last part to be true. The first part was already proven back in statement 3, the second part was just proven in statement 8, so the conclusion (the third part) is valid and can be statement 9, because of the transitive property.
Jane needs 6 1/2 of fabric to make a dress. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does Jane need to make the dress?
Answer:
1 1/2
Step-by-step explanation:
1 1/2 + 3 1/2 = 5
6 1/2 - 5 =1 1/2
if the bearing of x from y is 347°.find the bearing of y from x
a triangle is made up of sides with lengths that are consecutive odd integers. the perimeter of the triangle is 27 feet. what is the length of the longest side?
Answer:
11 feet
Step-by-step explanation:
You want the length of the longest side of a triangle when the perimeter is 27 feet and the side lengths are consecutive odd integers.
AverageThe middle of three consecutive odd integers is their average. The average is their sum divided by 3, so is (27 ft)/3 = 9 ft.
Then the side lengths are 7 ft, 9 ft, 11 ft.
The longest side is 11 feet long.
__
Additional comment
The perimeter is the sum of the side lengths.
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
To learn more about truth table
https://brainly.com/question/28605215
#SPJ4
Convert 0.838383 into a fraction
Answer:
8jdhdhdhdhfbdudhdhdhd
Probability is __________. A. the measure of the likelihood of something happening B. the act of risking something of material value on an uncertain outcome C. the ratio of desired outcomes to undesired outcomes D. the act of winning a bet Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Lesson 5 Cool Down
The graph displays the height of the
stack in centimeters for different
numbers of cups.
How much does each cup after the
first add to the height of the stack?
Explain your reasoning.
height in centimeters
18
16
14
12
10
8
9
4
2
(3, 5.5)
(8,8)
2
4 6 8 10
number of cups
Using the difference, the height of stack increased per cup is 0.5 centimeters.
The graph of the question is given below:
In the given question we have to find the how much does each cup after the first add to the height of the stack.
From the graph we can see that when there have 3 cups then the height of the stake is 5.5. When there have 8 cups then the height of the stack is 8.
So the incresed cup = 8-3 = 5
Incresed height of the stack = 8-5.5 =2.5
So the height of stack increased per cup = increased height/increased cup
the height of stack increased per cup = 2.5/5
the height of stack increased per cup =0.5
Hence, the height of stack increased per cup is 0.5 centimeters.
To learn more about difference link is here
brainly.com/question/28391572
#SPJ1
JELLPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLZZZZZ
Answer:
2x+3y+2
Step-by-step explanation:
use commutative property
7x-5x+4y-y+2
2x+4y-y+2
2x+3y+2
A school has 4 steps to the front door. Each step is 7 inches tall. Design a ramp for the
school.
The multiplication shows that the total steps for the ramp will be 28 inches.
How to calculate the steps for the ramp?From the information given, the school has 4 steps to the front door and each step is 7 inches tall.
In this case, the total steps of the ramp will be gotten by multiplying the values. This will be:
= 4 × 7 = 28 inches.
Learn more about multiplication on:
https://brainly.com/question/10873737
Simplify the expression.
y/3 to the power of 2 + 4y to the power of 2
Answer:
2x3+4 and x-y to 3rd and 2nd multiply to get=6/4
Step-by-step explanation:
Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1
Answer:
Sabrinas work
Step-by-step explanation:
5+c+c+c-4
5+3c-4
=3c+1
Mr. Jones wants to place a chimney on his roof. It is recommended that the chimney be set at a height of at least 30 feet. The height of the roof is described by the function f(x)=−4/3|x−10| + 40 where x is the distance along the width of the roof. Where should Leroy place the chimney if the house is 45 feet wide?
The distance at which the chimney is to be installed is required.
The chimney can be installed is at either 17.5 feet or 2.5 feet along the width of the roof.
The height of the roof is given by the function
\(f(x)=-\dfrac{4}{3}|x-10|+40\)
where, x is the distance along the width of the roof
The height of the chimney is at least 30 feet, so
\(30=-\dfrac{4}{3}|x-10|+40\\\Rightarrow 30-40=-\dfrac{4}{3}|x-10|\\\Rightarrow -10\times -\dfrac{3}{4}=|x-10|\\\Rightarrow |x-10|=7.5\)
\(\\\Rightarrow x-10=7.5\\\Rightarrow x=17.5\)
or
\(x-10=-7.5\\\Rightarrow x=2.5\)
So, the chimney can be installed at 17.5 feet or 2.5 feet.
Learn more:
https://brainly.com/question/12431044
https://brainly.com/question/23505310
what is 6, 400 written in scientific nation?
Answer:
6.4 x 10 to the power of 3
Step-by-step explanation:
always have 1 number after the decimal point and then times by ten to the power of 3.
Answer:
64x10²
Just move it to the left 2 times.
ANWSER ASAP
Which description can be used for each item?
Drag each description that matches cell wall or cell membrane into the correct box.
cell wall
cell membrane
key word(s)
is not grid
more selectively controls what goes in and out of the cell
gives a plant cell it shape
rigid
acts like a skin
that other answer is a virus dont click it
cell wall : gives plant cell its shape, rigid
cell membrane: more selectively controls what goes in and out of the cell, acts like a skin
dunno about grid
9 divided by 2/3 - 7/12
answer quick pls
!!!
20 points
Jasmine earns $10 an hour. She also received $20 in tips. Sammy earned $7 per hour but receives a bonus of $50. Sammy made more money than Jasmine. Write the inequality that models the situation if they both worked the same number of hours (h). How many hours will they have worked to make this true?
The inequality that models the situation if Jasmine and Sammy both worked the same number of hours (h) is 50 + 7h > 20 + 10h.
The hours worked to make this true is 10 hours.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the number of hours be h.
Jasmine earns $10 an hour. She also received $20 in tips. This will be 20 + 10h.
Sammy earned $7 per hour but receives a bonus of $50. This will be 50 + 7h
This will be illustrated as:
50 + 7h > 20 + 10h.
10h - 7h > 50 - 30
3h > 30.
Divide
h > 30/3
h > 10
The hours will be 10 hours.
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1