Answer:
-11[tex]x^{2}[/tex] + 13x- 13
Step-by-step explanation:
(x - 8x² - 15) + (2 + 12x - 3x²)
(x + 12x) + (- 8x² - 3x²) + (- 15 + 2) [Combine like terms]
-11[tex]x^{2}[/tex] + 13x- 13
Given that a line has a y-intercept of 3 and an x-intercept of 4, write an equation for the line.
Given that a line has a y-intercept of 3 and an x-intercept of 4
The equation of the line is 4y−12=3x.
The line has an x-intercept at x=−4 and y intercept at y=3, this means that the line passes through the points (−4,0) and (0,3).
Now we find the slope m of the line passing through the points (−4,0) and (0,3) (x-intercept).
The slope of the line is:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{3-0}{0-(-4)} = \frac{3}{4}[/tex]
Point-Slope Formula:
y−y1=m(x−x1) where m is the slope and (x1,y1) is the given point.
Now substituting the values:
[tex]y-0 = \frac{3}{4} (x-(-4))[/tex]
[tex]y = \frac{3}{4}(x+4)[/tex]
[tex]4y = 3(x+4)[/tex]
[tex]4y = 3x + 12\\4y-12 = 3x[/tex]
Hence, the equation of the line is 4y−12=3x.
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you are testing a claim about a population proportion of 0.2. find the test statistic given the following sample results:successes: 89sample size:225
Using the test statistic formula, the test statistic is 7.3408.
In the given question,
We have to testing a claim about a population proportion of 0.2.
We have to find the test statistic given the following sample results:
Success (x) : 89
Sample Size (n) : 225
So estimation point,
p = x/n
p = 89/225
p = 0.396
We have to check the test hypothesis for:
H(0): P = 0.2
H(a): P > 0.2
Test Statistic Z = (p - P)/√P(1-p)/n)
Z = (0.396 - 0.2)/√(0.2(1-0.2)/225)
Z =0.196/√(0.2*0.8/225)
Z =0.196/√(0.16/225)
Z =0.196/√0.000711
Z =0.196/0.0267
Z = 7.3408
Hence, the test statistic is 7.3408.
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(1.5x10^13)^2 in standard form
The standard form of the number [tex](1.5*10^(13))^2[/tex] is 2.25×[tex]10^(26)[/tex] .
What is standard form of a number ?
An equation, an expression, or a set of integers can all be written in standard form using the standard form approach. It is possible to express a number in a way that adheres to certain standards by writing it in its standard form. Standard form refers to any number between 1.0 and 10.0 that may be expressed as a decimal number and multiplied by a power of 10. The term "standard form" in this context refers to the act of condensing a particularly big expanded form of a number.
Here given is ,
=> [tex](1.5*10^(13))^2[/tex]
=> [tex]1.5^2[/tex] × [tex]10^(13)^2[/tex]
=> 2.25×[tex]10^(26)[/tex]
Therefore standard form of the number is 2.25×[tex]10^(26)[/tex].
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Write the quadratic equation whose roots are, -4 and 6 and whose leading coefficient is 4
[tex]\begin{cases} x=-4\implies &x+4=0\\\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+4)(x-6)=\stackrel{y}{0} \\\\\\ (x^2-2x-24)=\stackrel{y}{0}\implies 4(x^2-2x-24)=\stackrel{y}{0}\implies {\Large \begin{array}{llll} 4x^2-8x-96=y \end{array}}[/tex]
Check the picture below.
(4)
6. Aim Julio is playing a game where he rolls a ball from one corner of the room to
the opposite corner, without touching the walls. In how many different directions
could Julio roll the ball to reach its target? How do you know?
There are many ways Julio can roll the ball to reach it target. We can evaluate this situation by using probability.
What is Probability ?Probability is the ratio of favorable outcomes to all other potential outcomes of an event.The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes.The following formula can be used to determine an event's probability.Positive Results/Total Results = x/n = Probability(Event)Let's look at a simple example to better understand probability.Imagine that we need to predict whether it will rain or not.The right response to this question is "Yes" or "No."Whether it rains or not is uncertain.Probability can be applied here.Probability is used to predict the outcomes when tossing coins, rolling dice, or drawing cards from a deck of cards.Hence, we can evaluate the outcome by using probability.
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Maxwell is a plant manager at NV Electric Company. He has been employed there for 20
years and will be retiring at the end of this year. His pension is calculated on the average
of his last 4 years' salaries. In those years, he earned $85,000; $86,756; $88,888; and
$94,000. His employer will credit him 1.2% of that average for each year he worked.
Calculate Maxwell's pension, rounded to the nearest cent and use a $ in front of the
amount.
Maxwell's pension is $21,278.64.
Given:
Maxwell is a plant manager at NV Electric Company. He has been employed there for 20 years and will be retiring at the end of this year. His pension is calculated on the average of his last 4 years' salaries. In those years, he earned $85,000; $86,756; $88,888; and $94,000.
His employer will credit him 1.2% of that average for each year he worked.
Average = 85000+86756+88888+94000 / 4
= 3,54,644/4
= 88,661
1.2% of average = pension for each year
= 1.2*88661/100
= 106393.2/100
= $1063.932.
she worked for 20 years
20 years pension = 20*1063.932
= $21,278.64
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Find the distance between the following points: (5,-3,-4) and (-1,-2,7).
√26
05√2
√138
O√158
The distance between the two points (5,-3,-4) and (-1,-2,7) is:
d = √158
So the correct option is the last one.
How to find the distance between the two points?
The distance between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is given by:
distance = √( (x₁ - x₂)² + (y₁ - y₂)² + (z₁ - z₂)²)
Here we want to find the distance between the two points (5,-3,-4) and (-1,-2,7), using the above formula we will get:
d = √( (5 + 1)² + (-3 + 2)² + (-4 - 7)²)
d = √( (6)² + (-1)² + (-11)²)
d = √( 36 + 1 + 121)
d = √158
So the correct option is the last one.
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Clock a runs 1 minute fast per hour. Clock b runs 7 minutes slow per day. If the clocks show the same time at noon, how many minutes ahead of clock b will clock a be 48 hours later?.
The answer is, 720 minutes ahead of clock b will clock a be 48 hours later.
How to read time?
The three hands on the clock's face display the time in hours, minutes, and seconds. The hour hand, minute hand, and second hand all display the hours, minutes, and seconds respectively.
A clock has 12 large divisions that are marked. Each of the large divisions has five smaller divisions. For a minute, the little separation remains in place. Five minutes have elapsed once the minute hand transitions from one large division to the next.
we will get after 360 hrs, clocks A and B will both have the same time.
Clock A will show the correct time, whereas clock B will be running faster by 12 hrs and therefore show the same time. A clock that moves forward by 12 hours will appear to display the same time once more. 12hours*60minutes/hour= 720 minutes.
Hence the answer will be 720 minutes.
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What is the acceleration of the moon toward earth due to their mutual attraction the massive earth is 5. 98×10 to the 24th power kilograms the distance between them is 3. 8×10 to the eighth power meters and G equals 6. 673×10 to the -11th power newton meter squared per kilograms squared?
Answer:
2.76×10^-3 m/s²
Step-by-step explanation:
You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².
AccelerationThe acceleration of one body by another is ...
a = GM/r²
where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.
Applicationa = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg
a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²
Find the x- and y-intercepts of the graph of 9x+3y=18. State each answer as an integer or an improper fraction in simplest form.
The x -intercept and y-intercept of the graph 9x + 3y = 18 are x = 2 and y =6 respectively.
How to find the x and y-intercepts of a graph?The y-intercept is the point where the graph intersects the y-axis. In other words, the y -intercept of a graph is the point where the graph crosses the y -axis. The y-intercept is the value of y when x = 0.
The x-intercept is where a line crosses the x-axis. In other words, the x-intercept of a line is the point on a graph where the line crosses an axis.
The x-intercept is the value of x when y = 0.
Therefore, let's find x-intercept of the graph
9x + 3y = 18
9x + 3(0) = 18
9x = 18
x = 18 / 9
x = 2
Hence, let's find the y-intercept.
9x + 3y = 18
9(0) + 3y = 18
3y =18
y =18 / 3
y = 6
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For each quantity decide wether circumference or area would be needed to calculate it
anwser
4
Step-by-step explanation:
17
Which of the following equations is the equation of a suitable line of best fit for the data given below?
{(45, 18), (62, 13), (72, 11), (55, 15), (38, 21), (26, 31), (93, 9), (64, 13), (29, 28), (33, 25), (49, 17)}
A.
y = 3x + 35
B.
y = –10x + 35
Are the ratios 4:3 and 18:15 equivalent?
Answer: No
Step-by-step explanation: Ratios can be expressed as fractions. The ratio of 4:3 = 4/3, and 18:15 = 18/15. If you multiply the numerator and denominator by 5 (to get the same denominator as 18/15), you get 20/15.
20/15 doesn't equal 18/15.
what is 9x-(19-1)+7 and you have to find the value of x
Answer:
there is no value for x since there is no answer for the quetion
Step-by-step explanation:
what equals x 30x+1616=2561
Answer:
x=31.5
Step-by-step explanation:
30x+1616=2561
30x=2561-1616
30x=945
x=31.5
What is an equation of the line that passes through the points (6,−2) and (−4,−2)?
The equation of the line that passes through the points (6,−2) and (−4,−2) is y = -2
How to find the equation of a line?The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
Let's represent the equation of the line in slope intercept form as follows:
The equation of the line passes through the points (6,−2) and (−4,−2).
Hence,
y = mx + b
where
m = slopeb = y-interceptTherefore,
m = -2 + 2 / -4 - 6
m = 0 / - 10
m = 0
Therefore, let's find y-intercept using (6, -2).
-2 = 0(6) + b
b = -2
Therefore, the equation of the line is y = -2.
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Arrange these values in order of size, starting with the smallest:
36/100, 0.4, 0.32
Answer:
.32, 36/100, and 0.4
Step-by-step explanation:
Kerry has an investment account which compounds interest annually at a rate of 4. 4%. After 3 years, she has $7080 in the account. How much money did she initially place in the account? round your answer to the nearest whole number. Do not include a $ in your answer.
She initially placed $6222 in the account.
With annual compound interest accruing at a rate of 4.4% after three years, she has now $7080 in the account.
From the question, we have
7080 = A * (1 + 4.4/100)^3
7080 = A * 1.1379
A = 7080/1.1379
= 6221.99 = $ 6222 (approx.)
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Show through a calculation the pH of water when the H30+ is 1.0 x 10^-7.
The pH value of water when the H₃O⁺ is 1.0 x 10⁻⁷ will be 7.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The pH value of any ion is given as,
pH = - log [H₃O⁺]
The ions of H₃O⁺ is 1.0 x 10⁻⁷. Then the pH value is given as,
pH = - log [H₃O⁺]
pH = - log [1.0 x 10⁻⁷]
pH = - log [10⁻⁷]
pH = - (-7) log 10
pH = 7
The pH value of water when the H₃O⁺ is 1.0 x 10⁻⁷ will be 7.
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PLEASE HELP ME I WILL GIVE BRAINLY TO THE BEST.
Just fill in those blanks and for the explanation question it doesn't have to be long 1 sentence will be alr
1. A = 45° B = 110°
2. B = 88° C = 44°
3. A = 59° B = 48° C= 73°
4. The measure of the exterior angle is 108°
5. The tornado's direction needs to change by 30°
The sum of interior angles of triangle is always equal to 180°.
Now let's apply it in the given questions.
1. A = x
B = x + 65
C = 25
So, x + x + 65 + 25 = 180
2x = 180 - 90
x = 90/2
x = 45°
2. x + 48 + x - 44 = 180
2x = 180 - 4
x = 176/2
x = 88°
3. x + 73 + x - 11 = 180
2x = 180 - 62
x = 118/2
x = 59°
4. Let the third interior angle be b.
2a + b = 180
b = 180 - 2a
now by applying angle sum property
a + 10 + 44 + 180 - 2a = 180
2a - a = 54
a = 54°
the exterior angle is 2a that is 54*2 = 108°
5. For the tornado to deviate and pass through radar station instead of cell phone tower the angle that needs to be made will be nothing but the third interior angle of the triangle as the tornado is at the vertex.
Let us suppose the angle to be y
so y + 75 + 75 = 180
y = 180 - 150
y = 30°
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Jessica is 3 times older than Michael. The difference of their ages is 26 years. Find the ages of each.
Answer:
Micheal is 13
Jessica is 39
Step-by-step explanation:
3M=J
J-26=M
J=M+26
3M=M+26
2M=26
M=13
3(13)=J
39=J
Hopes this helps please mark brainliest
Please help me with this question
Using the velocity - time graph given, the value of t is 180 seconds
Velocity -Time GraphVelocity-time graph is a plot between Velocity and Time. It shows the Motion of the object that moves in a Straight Line. Magnitude of Velocity at a given instant is equal to its Instantaneous Speed. It is drawn for 1-D motion only and can take both positive and negative values.
To calculate speed, distance and time, we can use the formula below
speed = distance / time
Harry walked back home at a constant speed of 2 m/s
This can be represented mathematically as
2 = 150 / t - 105
The value of t in the equation above
150 = 2(t - 105)
150 = 2t - 210
2t = 150 + 210
2t = 360
t = 360 / 2
t = 180 seconds
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In his last game, the Ram's quarterback completed 10 out of 18 passes he threw. At this rate how many passes will he attempt if he completes 15 passes?
Answer:
23 is your answer for your question
according to researchers, what is the percentage of high school seniors and eighth grade students, respectively, who have used marijuana in the past year?
The percentage of high school seniors and eighth grade students is the 40% and the 15%.
According to the statement
we have to find that the percentage of high school seniors and eighth grade students.
For this purpose, we know that the
The percentage is a ratio expressed as a fraction of 100.
And with the given information,
the percentage is the used by the marijuana in the past year.
By the researchers,
the percentage of high school seniors in 2011 is 40%
And
the percentage of eighth grade students is 15%.
So, The percentage of high school seniors and eighth grade students is the 40% and the 15%.
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Rewrite the following polynomial in standard form. x-9+x^2/2
Answer:
2x − 9
Step-by-step explanation:
Please give the brainliest.
0.04 + 0.015x = 1.09
Answer:
x = 70
Step-by-step explanation:
0.04 + 0.015x = 1.09 ( subtract 0.04 from both sides )
0.015x = 1.05 ( divide both sides by 0.015 )
x = 70
Can someone help me really quick
(Please Explain how you know this is correct.)
As per the given graph, the price per gallon at Miguel's Gasoline station is $4.4
Graph:
Graph means a pictorial representation or a diagram that represents data or values in an organized manner.
Given,
Question 6
Six customers are buying gasoline at Miguel's Gasoline Station. The number of gallons bought and the total cost of their purchases are plotted on the graph.
Here we need to find the price per gallon at Miguel's Gasoline Station.
In order to find the price, we have to take the points from the given graph.
Then we the points as, (4,10) and (9, 22)
By looking in the graph, the plotted points will form the straight line on the graph.
So, we have to use the formula for straight line to find the cost on one liter,
For, that we have to find the following,
m = (22 - 10) / (9 - 4)
m = 12/5
And the value of y intercept is,
10 = 12/5 (4) + c
50 = 48 + c
c = 2
The equation for the graph is y = 12/5x + 2
Therefore, the cost of 1 liter of the material is,
y = 12/5 (1) + 2
y = 12/5 + 2
y = 12+10/5
y = 22/5
Therefore, the cost is 4.4.
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what hypothesis test should be used to test straight h subscript 1 italic colon italic space italic space sigma to the power of italic 2 subscript italic 1 over sigma to the power of italic 2 subscript italic 2 italic space italic space italic greater than italic space italic 1 one-sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances
An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
What is Hypothesis?In a scientific setting, a hypothesis (plural: hypotheses) is a tested claim regarding the relationship between two or more variables or a suggested explanation for a phenomenon that has been observed. The hypothesis is a succinct statement of the researcher's expectation of the study's findings, which may or may not be confirmed by the results, in a scientific experiment or study. The scientific method's fundamental step is hypothesis testing.It is customary to refer to the researcher's prediction as the alternative hypothesis and any other result as the null hypothesis, or, more simply put, the opposite of what was anticipated. (However, the words are switched around if researchers are speculating that there won't be any difference or change, for instance, that the occurrence of one variable won't rise or fall in concert with thehence,sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances.
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find the volume to the cylinder with a diameter of 11cm and height of 14cm
Answer:
1,330.46
Step-by-step explanation:
v=h times pie times r squared.
since the diameter is 11 the radius is 5.5.
5.5x14=77
Now multiply that by pie and your answer is
1,330.46
Answer: 1330.46cm³
Step-by-step explanation:
The equation for a volumne of a cylinder is πr²h (r=radius h=height)
The radius is half of the diameter so the radius is 5.5
πx5.5²x14=1330.46
The line x + 2y = 16 is perpendicular to a line containing the points (-9,n) and (1,5n). Find the value of n.
So how do I do it?
Step #1: Find the slope of the given line.
To do this, solve the equation for slope-intercept form:
x + 2y = 16
2y = -x + 16
y = -1/2 x +8
The slope of this line is -1/2.
Step #2: Find the slope of the new line.
To be perpendicular, the other line needs a slope that is the opposite reciprocal slope. So, that'd be +2/1 or just 2.
Step #3: Find n.
Now, you know m=2 and we also have the slope formula
m = (y2 - y1) / (x2 - x1)
Using the two points (-9,n) and (1,5n), we can set up:
2 = (5n - n) / (1 - (-9))
2 = 4n / 10
2 = 2n/5
Multiply by 5 and divide by 2:
10 = 2n
5 = n
The process was: find the slope of the given line, use that to find the slope of the perpendicular line, and then use and the slope formula to find n.
