Answer:
To solve the equation, factor x 2 + 3 x + 2 using formula x 2 + ( a + b) x + a b = ( x + a) ( x + b). To find a and b, set up a system to be solved. Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. The only such pair is the system solution. Since a b is positive, a and b have the same sign.
Step-by-step explanation:
I believe you start with 2.4 million has initial start value? Not sure cause it worded weirdly and English not very good
2,466,000
Here, we want to know what is to be used as the initial value
The general exponential equation should be in the form;
\(P=I(1+R)^n\)where P is the population at a certain year
I is the initial population which is 2,466,000 in this case
R is the rate of increase
n is the number of years
The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the -axis? Where does the circle intersect the y-axis? Explain your answer.
Answer:
lee know
Step-by-step explanation:
The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,
\(\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17\)
Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).
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There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green
marble, then a red marble.
Answer:
3/76
Step-by-step explanation:
In a normal distribution, a data value located 1.5 standard deviations below the mean has Standard Score:
z = ____________
In a normal distribution, a data value located 1.9 standard deviations above the mean has Standard Score:
z = ____________
In a normal distribution, the mean has Standard Score:
z = ____________
Using the normal distribution, it is found that the z-scores are:
a) z = -1.5
b) z = 1.9
c) z = 0
In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:
z = x-μ/σ
It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).
For first blank: 1.5 standard deviations below the mean, hence z = -1.5.
For second blank: 1.9 standard deviations below the mean, hence z = 1.9.
For third blank: The mean is 0 standard deviations from itself, hence z = 0.
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Classement pays médaille d'or de cyclisme moyennes 70 %pays...
Answer:
Classement pays médaille d'or de cyclisme moyennes 70 %paga...
Step-by-step explanation:
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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helppppppppppppppp
Ginny and Bob are both locksmiths.
Ginny uses the function f(x)=60x+80 to determine the charge to her customers, where x represents the number of hours of labor.
The table shows what Bob charges a customer for x hours of labor.
x (hours) 0 1 2 3 4
cost ($) 60 140 220 300 380
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Ginny charges Response area for an initial fee, and Bob charges Response area for an initial fee. Response area charges less for an initial fee.
For the initial fee, Bob charges less than Ginny.
What is unit rate?A unit rate means a rate for one of something.
Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.
Ginny initial charge = $80
Bob initial charge =$60
Hence, For the initial fee, Bob charges less than Ginny.
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Will be giving BRAINLIEST and 50 PTS!!! NO GIBBERISH OR LINKS PLEASSSSSE!!!
QUESTION IS IN ATTACHMENT
Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Answer:
Either the US has the highest density and Denmark has the lowest or the other way around.
Id say its that the u.s. has the highest denmark has the lowest
Step-by-step explanation:
Given: ∠AOC and ∠BOC are complementary. m∠AOC=m∠BOC+30°. Find: m∠AOC and m∠BOC
Statement Reason
1. m∠AOC+m∠______ = ______ 1. _____________
2. m∠______ + ______ +m∠BOC=90° 2. Substitution
3. m∠BOC = _________ 3. Algebra
4. m∠AOC = _________ 4. Algebra
Answer:
Statement Reason
1. m∠AOC+m∠COB= 90° 1. complementary angles
2. m∠30° + BOC+m∠BOC=90° 2. Substitution
3. m∠BOC = 30° 3. Algebra
4. m∠AOC = 60° 4. Algebra
I think I got it
rewrite each equation without absolute value for the given conditions
y=|x-3|+|x+2|-|x-5| if 3
Answer:
Step-by-step explanation:
|x-3|=x-3,if x-3≥0,or x≥3
|x-3|=-(x-3),if x-3<0 ,or x<3
What's 2+5^3, and how exactly would I solve it
The result of the expression 2 + 5^3 is 127.
To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
In this case, the exponentiation should be performed first.
Step 1: Calculate 5^3
5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.
Step 2: Add 2 to the result from Step 1.
2 + 125 = 127.
Therefore, the result of 2 + 5^3 is 127.
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The substance in the chart above that has the greatest number of atoms in each molecule is-
Answer:
the substance in chart above
Step-by-step explanation:
that has greatest number of atom is each molecule
To make sure the sweater she is knitting will be the right size, Gale knits a
sample that is 25
8 inches long. She knits a second sample that is 11
3 times as
long as the first sample. How many inches long is the second sample?
Show how to use a model and partial products to multiply.
The inches long of the second sample is 4 3/8 inches.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
A mathematical model is a system description that uses mathematical ideas and terminology. Mathematical modeling is the process of creating a mathematical model.
When we multiply a multiplicand by one digit of a multiplier that has more than one digit, we produce a partial product. To multiply, we divide the number into smaller components. The parts are then multiplied individually and added together.
In this case, Gale knits a sample that is 2 5/8 inches long. She knits a second sample that is 1 1/3 times as long as the first sample.
The inches long for the second sample will be:
= 2 5/8 × 1 1/3
= 21 / 8 × 5/3
= 105 / 24
= 4 9/24
= 4 3/8
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Complete question
To make sure the sweater she is knitting will be the right size, Gale knits a sample that is 2 5/8 inches long. She knits a second sample that is 1 1/3 times as long as the first sample. How many inches long is the second sample?
Show how to use a model and partial products to multiply.
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 22.5%, and the final exam is worth 34%. Compute the weighted average for the following scores: 81 on the lab, 75 on the first major test, 97 on the second major test, and 84 on the final exam.
Answer:
The weighted average for the given scores is 84.27
Step-by-step explanation:
The weighted average can be calculated from the formula
Weighted average = \(\frac{\Sigma wx}{\Sigma w}\)
Where w is the weight
and x is the score
The scores are 81, 75, 97, and 84 while their respective weights are 21% (0.21), 22.5%(0.225), 22.5%(0.225), and 34%(0.34).
From the formula
Weighted average = \(\frac{\Sigma wx}{\Sigma w}\)
Since we have four sets of values, we can write that
Weighted average = \(\frac{\Sigma wx}{\Sigma w}\) = \(\frac{w_{1}x_{1} + w_{2}x_{2} + w_{3}x_{3} + w_{4}x_{4}}{w_{1} + w_{2} + w_{3} + w_{4}}\)
Let 81, 75, 97, and 84 be \(w_{1}, w_{2}, w_{3},\) and \(w_{4}\) respectively; then
0.21, 0.225, 0.225, and 0.34 will be \(x_{1}, x_{2}, x_{3},\) and \(x_{4}\) respectively.
∴ Weighted average = \(\frac{(81)(0.21)+(75)(0.225)+ (97)(0.225) +(84)(0.34)}{0.21+0.225+0.225+0.34}\)
Weighted average = \(\frac{17.01+16.875+21.825+28.56}{1}\)
Weighted average = 84.27
Hence, the weighted average is 84.27
What is the coefficient of the term 6/7xy
Answer: 6/7 The required option is (3) 6/7
Step-by-step explanation: Explanation : A term is combination of variables and numerals by means of multiplication and division.
What is one thousand minus on hundred and ten
Answer:
The answer is 890 . ...... :D
Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...
a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
QUICK HELP PLS!! Tell all steps :) 100 POINTS!!
The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20
=
12
16
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
a. Using the ratio of the sides 12 cm and 16 cm
x/20 = 12/16
x = (12(20)) / 16 = 15
b. Using the ratio of the sides 6 cm and 8 cm
x/20 = 6/8
x = (6(20)) / 8 = 15
c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.
Hope this answer will be a good help for you.
Express the following rate as a unit rate: "$119.28 for 28 ceiling tiles" Response
Answer:
$4.26 per ceiling tile.
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,2); m=3
The equation of the line is
(Simplify your answer. Type your answer in point-slope form.)
Answer:
y = 3x + 11
Step-by-step explanation:
y = mx + b
y = 3x + b
2 = 3(-3) + b
2 = -9 + b
b = 11
y = 3x + 11
A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet
Find the area of the shaded region.
f(x)=x4-12x³ +48x², g(x) = 44x+105
340-
(-1,61)
(5,325)
co.
8
Q
Answer:
Step-by-step explanation:
To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:
x^4 - 12x^3 + 48x^2 = 44x + 105
x^4 - 12x^3 + 48x^2 - 44x - 105 = 0
We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:
x = -1.932, x = 0.695, x = 4.149
Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.
The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:
A = ∫3^4 [g(x) - f(x)] dx
A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx
A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx
We can integrate term by term using the power rule:
A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4
A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]
A = 347.2
Therefore, the area of the shaded region is approximately 347.2 square units.
Looking for a math study guide!, dont care about the type of math, if you made it or not, just need one will give brainliest
Answer:
ask a question and I will see if I can answer it
The equation 4x-45=y is used to find your profit y in dollars from buying $45 of supplies and washing cars for $4 what does the x stand for
Three different divers kept track of the number of treasure boxes they've found this year.
Diver Dives Treasure boxes found
Scuba Sam 111111 333333
Wet Suit Willy 181818 818181
Deep Diving Dan 262626 104104104
Which diver found the most treasures per dive?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Scuba Sam
(Choice B)
B
Wet Suit Willy
(Choice C)
C
Deep Diving Dan
Answer:
ITS B
Step-by-step explanation:
g(x) = x2 – 2 (a) Identify the parent function f.
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
What is the percent of change from 600 to 30?
Answer:
Percent change = 600 - 30 |30| × 100% = 570 30 × 100 = 1900% (increase). Where: 30 is the old value and 600 is the new value.
Step-by-step explanation:
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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The equation we are given (-at² + bt + c) is a parabola. How do we know this?
It's a polynomial of degree 2. Every polynomial of degree 2 is a parabola
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.