Answer:
Step-by-step explana[tex]f(x) = (x^{2} - 6x + 36) . (x^{2} + 2x + 4)\\f (x) = (x^{4} + 2x^{3} + 4x^{2} - 6x^{3} - 12x^{2} - 24x + 36x^{2} + 72x + 144)\\f(x) = (x^{4} - 4x^{3} + 28x^{2} + 48x + 144)[/tex]
x=6 and x=-2 are the roots of the equation f(x)= (x - 6)²(x + 2)².
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We need to find the roots of f(x) = (x - 6)²(x + 2)²
f(x)= (x - 6)²(x + 2)²
f of x equal to x minus six whole power six into x plus two whole square
=(x²+36-12x)(x²+4+4x)
Apply distributive law.
=x⁴+4x²+4x³+36x²+144+144x-12x³-48x-48x²
=x⁴-8x³-8x²+96x+144
Hence, x=6 and x=-2 are the roots of the equation f(x)= (x - 6)²(x + 2)².
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Please answer this correctly I have to finish this today.I want genius people or expert people to answer this correctly without making mistakes
Answer:
Surface Area is 16π mm²
Step-by-step explanation:
Remember me? (I answered your question before) Do I count as "genius people or expert people"? I certainly hope so.
The area for a cylinder's surface area is
a=2πrh+2πr²
The cylinder base's radius is 2 mm
The cylinder's height is 2 mm
Putting into the equation:
a=2×π×2×2+2×π×2²
a=2π×2×2+2×π×2²
a=4π×2+2×π×2²
a=8π+2×π×2²
a=8π+2×π×4
a=8π+2π×4
a=8π+8π
a=16π
The surface area of the cylinder is 16π mm².
venona is solving the equation-3+4x=9 in order to isolate the variable term
Answer:
x = 3
Step-by-step explanation:
-3 + 4x = 9 .... add the 3 over
4x = 12 .... divide by 4
x = 3
need help fast this is time
Answer:
x= 34
Step-by-step explanation:
96 + 50 + x = 180
180 - 146 = x
x= 34
Answer: x = 34
Step-by-step explanation:
The interior angles of a triangle add up to 180.
So we can set an equation to 180 like this: [tex]180 = x + 96 + 50[/tex]
We can simplify this:
[tex]180 = x +146[/tex]
Now we need to isolate x to solve for it.
We do this by subtracting the 146.
[tex]34 = x[/tex]
(geometry) PLZ HELP ASAP!
Answer:
About 25.1 cubic meters
Step-by-step explanation:
The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:
[tex]V=\dfrac{1}{3} \pi r^2 h=\\\\\dfrac{1}{3} \cdot \pi \cdot 2^2 \cdot 6\approx 25.1[/tex]
Hope this helps!
The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
Answer:
Step-by-step explanation:
The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
what is -5 + 4 please send help
Answer:
The answer is -1
Hope this helped :3
Want brainliest? Get this correct , What is one of the negative effects of globalization?
Answer:
B
Step-by-step explanation:
the reason is, i suffered it ;)
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. The host then says to you, "Do you want to pick door No. 2 instead of door No. 1?" Is it to your advantage to switch your choice?
Answer:
I think it is to my advantage to switch my choice to door 2.
Step-by-step explanation:
Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.
Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.
∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25
Answer:
Option B. 36
Step-by-step explanation:
From the figure attached,
ΔLMN ~ ΔPON
Therefore, corresponding sides of these similar triangles will be in the same ratio.
[tex]\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}[/tex]
[tex]\frac{LM}{OP}=\frac{MN}{ON}[/tex]
[tex]\frac{42}{14}=\frac{x}{12}[/tex]
x = [tex]\frac{42\times 12}{14}[/tex]
x = 36
Therefore, measure of side MN = x = 36 units
Option B. will be answer.
What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication
Answer:
[tex]S=\frac{C}{2}[/tex]
Step-by-step explanation:
From the graph B,
Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,
S = mC + b
Where m = Slope of the line
b = y-intercept of the line
We choose two points (2, 1), and (4, 2) lying on the line.
Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{2-1}{4-2}[/tex]
m = [tex]\frac{1}{2}[/tex]
y-intercept 'b' = 0
Equation of the line will be
S = [tex]\frac{1}{2}C[/tex]
Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders.
Answer:
The size will be "431".
Step-by-step explanation:
On assuming:
P1 = 0.5
P2 = 0.5
Now,
[tex]q1=1-p1[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
and,
[tex]q2=1-p2[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
Margin's error will be,
E = 0.07
For 96% CI critical will be:
Z = 2.054
So,
Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]
On putting the estimated values, we get
= [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]
= [tex](0.25+0.25)\times (29.3)^2[/tex]
= [tex](0.5)\times (858.49)[/tex]
= 431
Notice that we had an overall accuracy greater than 96% in the training data, but the overall accuracy was lower in the test data. This can happen often if we overtrain. In fact, it could be the case that a single feature is not the best choice. For example, a combination of features might be optimal. Using a single feature and optimizing the cutoff as we did on our training data can lead to overfitting. Given that we know the test data, we can treat it like we did our training data to see if the same feature with a different cutoff will optimize our predictions. Which feature best optimizes our overall accuracy
Answer:
Step-by-step explanation:
Training data overall accuracy is >96%
Test data overall accuracy is <96%
A single feature is not the best choice but a combination of features might be optimal.
The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.
The formula for the total surface area of closed hemisphere for any value of R is S=
Answer:
The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
Step-by-step explanation:
The total surface area of closed hemisphere is given as;
Curved surface area of the hemisphere + Base surface area of the hemisphere
Curved surface area of the hemisphere, A= 2πr²
Base surface area of the hemisphere, B = πr²
The total surface area of closed hemisphere, S = A + B
The total surface area of closed hemisphere, S = 2πr² + πr² = 3πr²
Therefore, The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²
Cars lose value the farther they are driven. A random sample of
11
1111 cars for sale was taken. All
11
1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Complete Question
which on these linear equations best describe the given model
The description and diagram of the model is shown on the first uploaded image
Answer:
The linear equation is [tex]y = -\frac{1}{4}x + 40[/tex]
Step-by-step explanation:
Generally a linear equation is mathematically represented as
[tex]y = mx+c[/tex]
m is the slope which can be obtained from the graph diagram as
[tex]s = \frac{30 -20}{80 -40}[/tex]
[tex]s = \frac{1}{4}[/tex]
Now this slope is a negative slope as seen from the diagram so
[tex]s =-\frac{1}{4}[/tex]
The intercept is 40 as seen from the graph
So the linear equation is
[tex]y = -\frac{1}{4}x + 40[/tex]
Answer:
sorry i need the points
Step-by-step explanation:
Which of the following terms describes a company's first sale of stock to the
public?
O A. Circular flow model
B. Debt financing
O C. Venture capital
D. Initial public offering
Answer:
D. Initial public offering
Step-by-step explanation:
A P E X
What is the definition of an acute angle?
Answer:
Measure less 90 degrees
Step-by-step explanation:
Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees
Hope this helps.
Answer: An angle less than 90 degrees
Step-by-step explanation:
An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.
A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end
Answer:
Measure of the acute angle = 84°
Step-by-step explanation:
In the figure attached,
ABDE is a swimming pool having length 'AB' = 65 feet
Depth of one end of the pool is BE = 4 feet
And depth of the other end AD = 11 feet
Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.
Now from ΔCDE,
tanx = [tex]\frac{EC}{DC}[/tex]
tanx = [tex]\frac{7}{65}[/tex]
x = [tex]\text{tan}^{-1}(\frac{7}{65})[/tex]
x = 6.15°
Now measure of acute angle the bottom of the pool makes with wall at he deep end,
m∠ADE = (90 - 6.15)°
= 83.85°
≈ 84°
After sitting out of a refrigerator for a while, a turkey at room temperature 71 f is placed into an oven. The oven temperature is 325 f. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.
The turkey reaches the temperature of 117 f after 1.5 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5 hours.
Answer: The value of k to the nearest thousandth is -0.133
The of the turkey to the nearest degree after 4.5 hours is 186F
Step-by-step explanation: Please see the attachments below
Aubrey is making cone-shaped hats for a birthday party. How much paper does Aubrey need for each hat? Use 3.14 for pi and round your answer to the nearest inch
Answer:
About 75 in²; Aubrey found the surface area of the cone and included the base.
Complete question:
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.Cone with diameter six inches and slant height eight inches.What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.
Step-by-step explanation:
Lateral surface area of a cone = Paper required to for each hat
Lateral surface area = πrl
where, r is radius of the cone and l is lateral height of the cone
Lateral surface area = π(3)(8)
= 75.36 square inches
≈ 75 square inches
Therefore, total paper required for each cap is about 75 square inches.
Total surface area of the cone (Lateral area + Area of the base)
= πr(r + l)
= 3.14(3)(3 + 8)
= 103.62
≈ 104 square inches.
Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.
Answer:
~75 in
Step-by-step explanation:
Jane is using a sextant to measure her distance from a building of height 270 feet. Her eyes
are 5 feet 3 inches above the ground. The angle of elevation from her viewpoint using the
sextant is 40°. How far away, measured to the nearest foot, is Jane from the building?
a) 221 feet b) 203 feet c) 170 feet d) 316 feet e) none of these.
Answer:
d) 316 feet
Step-by-step explanation:
Now 3 Inches = 0.25 feet
Therefore: 5 feet 3 inches =5.25 feet
The problem forms a right triangle in which the height of the triangle
= 270 -5.25 =264.75 feet.
Using Trigonometric ratios
[tex]\tan 40^\circ=\dfrac{264.75}{y} \\$Cross multiply\\y\tan 40^\circ=264.75\\y=264.75 \div \tan 40^\circ\\y=315.5$ feet[/tex]
Therefore, Jane is approximately 316 feet from the building.
Answer: d) 316 feet
Step-by-step explanation:
A right angled triangle ABC is formed.
BC represents the height of the building minus the height of Jane's eyes from the ground. AB represents Jane's distance from the building.
12 inches = 1 feet
3 inches = 3/12 = 0.25 feet
Therefore, the height of her eyes from the ground is 5 + 0.25 = 5.25 feet
Therefore, BC = 270 - 5.25 = 264.75 feet
To determine AB, we would apply the the tan trigonometric ratio which is expressed as
Tan# = opposite side/adjacent side
Tan 40 = 264.75/AB
AB = 264.75/tan40
AB = 264.75/0.839
AB = 316 feet
Find the median of the data. 12,33,18,28,29,12,17,4,2
Answer:
Step-by-step explanation:
2, 4, 12, 12, 17, 18, 28, 29, 33
(17+18)/2
35/2= 17.5 is the median
The median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
12, 33, 18, 28, 29, 12, 17, 4, 2
After arranging in accending orde:
2, 4, 12, 12, 17, 18, 28, 29, 33
As we can see the mid-value is 17
Median = 17
Thus, the median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
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can plants the seed of one and a half inch below the ground
Answer:
The plant is 2.5 inches above the ground!
Step-by-step explanation:
i just did it
Answer:
Could you please rephrase this?
Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Answer:
x=-0.4
Step-by-step explanation:
We have the equation:
[tex]-9x+0.4=4[/tex]
First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:
[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]
Now, we have all the constants on the right side of the equation.
Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:
[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]
Thus, the answer to this equation is x= -0.4
Answer:
a)
Subtract 0.4 from both side.
-9x +0.4 = 4
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
b)
divide by -9 both side
-9x/-9 = 3.6/-9
x = -0.4
Step-by-step explanation:
-9x+0.4=4
-0.4 -0.4
_______________
-9x=3.6
__ __
-9 -9
________________
x=-0.4
AM really good !
Step-by-step explanation:
Find the y intercept of the line 3y=12x+15
Answer:
y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 12x + 15 ( divide all terms by 3 )
y = 4x + 5 ← in slope- intercept form
with y- intercept c = 5
The y-intercept of the given line, 3y=12x+15 is: 5.
What is the y-intercept of a line?The slope-intercept form equation of a line easily helps us to determine the y-intercept of the line, b.y = mx + b represents the equation of a line in slope-intercept form."b" is the y-intercept.Given:
3y=12x+15
Rewrite in slope-intercept formy = 12x/3 + 15/3
y = 4x + 5
Therefore, the y-intercept of the given line, 3y=12x+15 is: 5.
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Find the y and x intercept
Answer: See below
The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)
The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)
Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2
Answer:
y=-1/3x+6 .Hope this helps
Answer:
3y = -x + 18
Step-by-step explanation:
Given the equation y = 3x + 2;
By comparison with the general equation
y = mx + C ; where m is the slope
We see that m = 3
Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2
But the new slope cuts across points (3,5) .
It means M2 = y - 5/ x-3
-1/3 = y-5/ x-3
-1(x-3) = 3(y-5)
-x +3 = 3y -15
3y = -x + 18
A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
Answer:
b. Greater than or equal to 0.9.
Step-by-step explanation:
We have three types of risks, that can make the project fail independently.
The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.
The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.
Then, we can calculate the probabilty of success as:
[tex]P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042[/tex]
Then, the probability of failure is the complementary of the probability of success:
[tex]P_f=1-P_s\\\\P_f=1-0.042=0.958[/tex]
The probability of failure is Pf=0.958
What is the answer to 2(-2)+3(-5)
Answer:
-19
Step-by-step explanation:
2*(-2)+3(-5)=-4+(-15)= -19
What transformations were applied to ABC to obtain A'B'C'?
Answer: rotated 90 degrees counterclockwise and shifted 2 units up.
Step-by-step explanation:
The distance between the towns of Averton and Brackston is 10km. On map the distance is 5cm. What is the scale of the map in its simplest form
Answer: The scale of the map in its simplest form is 1:200,000
Step-by-step explanation: From the question,
The distance between the two towns is 10km which is a distance of 5cm on the map.
This means, 5cm represents 10km. Now we will determine what 1cm represents.
If 5cm represents 10km
Then 1cm will represent (10÷5) km
Hence, 1 cm will represent 2km
Now, convert 2km to cm
2km = 2000m = 200,000cm
Hence, 1cm represents 200,000cm
This means on the map 1cm represents 200,000cm.
The scale of the map is therefore
1:200,000