Answers
Answer:
[tex]1)\ \ 4h^2-13h+6\\2)\ \ 7x^3y^2-x^2y+1\\3)\ \ -7n+2\\4)\ \ -8m+4[/tex]
Step-by-step explanation:
1.
Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.
[tex]2h^2-7h+2h^2-h+6+4h-9h[/tex]
[tex](2h^2+2h^2)+(-7h-h+4h-9h)+(6)[/tex]
[tex]4h^2-13h+6[/tex]
2.
Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.
[tex]8x^3y^2-7x^2y+8x-4-x^3y^2+2x^2y+4x^2y-8x+5[/tex]
[tex](8x^3y^2-x^3y^2)+(-7x^2y+2x^2y+4x^2y)+(8x-8x)+(-4+5)[/tex]
[tex]7x^3y^2-x^2y+1[/tex]
3.
Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following ([tex]a(b+c)=(a)(b)+(a)(c)=ab+ac[/tex]). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,
[tex]-2(8n+1)-(5-9n)+3^2[/tex]
[tex]-2(8n+1)-(5-9n)+(3*3)[/tex]
[tex]-2(8n+1)-(5-9n)+9[/tex]
[tex](-2)(8n)+(-2)(1)+(-)(5)+(-)(-9n)+9[/tex]
[tex]-16n-2-5+9n+9[/tex]
[tex](-16n+9n)+(-2-5+9)[/tex]
[tex]-7n+2[/tex]
4.
The same method used to solve problem (3) can be applied to this problem.
[tex]\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-2^3[/tex]
[tex]\frac{1}{2}(10-8m+6m^2)-(3m^2+4m-7)-(2)(2)(2)[/tex]
[tex](\frac{1}{2})(10)+(\frac{1}{2})(-8m)+(\frac{1}{2})(6m^2})+(-)(3m^2)+(-1)(4m)+(-1)(-7)-8[/tex]
[tex]5-4m+3m^2-3m^2-4m+7-8[/tex]
[tex](-3m^2-3m^2)+(-4m-4m)+(5+7-8)[/tex]
[tex]-8m+4[/tex]
Related Questions
A baseball fan wanted to know if there is a difference between the number of games played in a World Series when the American League won the series versus when the National League won the series. From 1922 to 2012, the population standard deviation of games won by the American League was 1.14, and the population standard deviation of games won by the National League was 1.11. Of 19 randomly selected World Series games won by the American League, the mean number of games won was 5.76. The mean number of 17 randomly selected games won by the National League was 5.42.
Required:
Conduct a hypothesis test use the 10% significance level.
Answers
Answer:
correct u did it
Step-by-step explanation:
told me
To conduct a hypothesis test to determine if there is a significant difference between the number of games won by the American League and the National League in the World Series, we can follow these steps:
Step 1: State the null and alternative hypotheses:
Null hypothesis (H0): There is no significant difference between the mean number of games won by the American League and the National League.
Alternative hypothesis (Ha): There is a significant difference between the mean number of games won by the American League and the National League.
Step 2: Determine the significance level:
In this case, the significance level is given as 10%, which means α = 0.10.
Step 3: Conduct the hypothesis test:
To conduct the hypothesis test, we can use a two-sample t-test because we have two independent samples and we do not have information about the population parameters.
Step 4: Calculate the test statistic and p-value:
Using the provided sample means, standard deviations, and sample sizes, we can calculate the test statistic and p-value using statistical software or a calculator.
Step 5: Compare the p-value to the significance level:
If the p-value is less than the significance level (α), we reject the null hypothesis and conclude that there is a significant difference between the mean number of games won by the American League and the National League. If the p-value is greater than the significance level, we fail to reject the null hypothesis.
Since the calculation of the test statistic and p-value requires specific values from the samples, such as the sample sizes, it is not possible to perform the exact calculation without those values. Additionally, the information provided in the question does not specify whether the data follows a normal distribution or other assumptions required for the t-test.
To conduct the hypothesis test accurately, it is recommended to use statistical software or consult a statistician who can perform the calculations using the provided sample means, standard deviations, and sample sizes.
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7. Find HCF of: x'y and ly*
8. Find LCM of 4x - 20 and 6x - 30
9. Factorize Factorize: -m-+ 1 + me
10. Factorize: 4x100
11. Simplify: V18+ va 12. If a = 2, b = 3 and c= 4, fmd the value of a b c 13. Subtract: 125- 45 a--200+ 14. Simplify: ***
PLEASE HELP ME
Answers
Answer:
7 ans-HCF is y
Step-by-step explanation:
soln
first expression=X and y
second expression=l and y
so HCF means common so the Ans is y
Find the equation of the parabola with its focus at (0,-4) and its directrix y = 4.
.O A) y=-1/gx²
B) y=1/1072
OC) y = -1/16x²
OD) y = -1/4X²
Answers
Answer:
C) y = (-1/16)x²
Step-by-step explanation:
I am sure there have been some scanning errors particularly with the answer options.
I am sure "x²" is a factor for the numerators and not for the denominators.
A parabola is the set of all points in a plane that are equidistant between a fixed point (focus) and a line (directrix).
In its simplest form, the parabola with focal length p has its vertex at the origin (0,0) and the focus is at the point (0,p). The directrix is the line y=-p.
in our case, p = -4, as the focus is (0, -4) and the directrix is y = 4.
and we therefore see that the vertex must be at (0, 0).
the standard form for a parabola with vertex at the origin :
x² = 4py
in our case
x² = 4×-4×y = -16y
y = -x²/16 or (-1/16)x²
Help!!! Make brainliest
Answers
Answer:
b=(2a-1)/(3a-1)
Step-by-step explanation:
a=(b-1)/(3b-2)
3ab-2a=b-1
3ab-b=2a-1
b(3a-1)=2a-1
b=(2a-1)/(3a-1)
A lottery ticket has a grand prize of $34.8 million. The probability of winning the grand prize is .000000047.
Answers
Answer:
000000047
Step-by-step explanation:
that is the answer
Suppose that a rectangular yard has a width of 2x and a length of 5x+2. Which of the following represents the perimeter P as a function of x?
Answers
Answer:
f(x)=15x+5
thanks
Step-by-step explanation:
p=2(length +width)
p=f(x)=2(5x+2+2x)
=f(x)=10x+4+5x
collecting like terms,we get;
f(x)=15x+5
The expression that represents the perimeter P as a function of x is 14x + 14
The perimeter can simply be defined as the part or portion surrounding a shape or boundary. The formula for calculating the perimeter of the rectangular yard is expressed as:
The perimeter of the rectangular yard = 2(L+W) where:
L is the length
W is the width
Given the following parameters
Length = 5x + 2
Width = 2x
Substitute the given parameters into the formula above:
Perimeter = 2(5x+2+2x)
Perimeter = 2(7x + 2)
Perimeter = 14x + 4
Hence the expression that represents the perimeter P as a function of x is 14x + 14
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10. Write (2x + 1)(x - 3)(x - 2) in standard form.
Answers
Answer:
[tex]2x^3-9x^2+7x+6[/tex]
Step-by-step explanation:
The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.
[tex](2x+1)(x-3)(x-2)[/tex]
Distribute,
[tex](2x+1)(x-3)(x-2)[/tex]
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
Simplify,
[tex]((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)[/tex]
[tex](2x^2-6x+x-3)(x-2)[/tex]
[tex](2x^2-5x-3)(x-2)[/tex]
Distribute,
[tex](2x^2-5x-3)(x-2)[/tex]
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
Simplify,
[tex](2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)[/tex]
[tex]2x^3-5x^2-3x-4x^2+10x+6[/tex]
[tex]2x^3-9x^2+7x+6[/tex]
This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.
Given the formula A = 5h (B + b); solve for B.
2
Answers
Answer:
A=5h(B+b)
A/5h=B+b
A/5h - b= B
An Image point has coordinates B'7,-4). Find the coordinates of its pre-Image If the translation used was (x+4, y+5).
О ВІЗ, Т
OB(3-9)
OB/11-9)
B110
NET QUESTION
ASK FOR HELP
TURNITIN
Answers
Answer:
The ans is (3,-9) which means it's the second option
4) Daily tickets to Six Flags cost $50 each.
Variable #1:
What is the variable
Answers
Answer:
Amount of tickets
Step-by-step explanation:
The variable is the amount of tickets purchased because that is the only thing that changes, according to the statement that says that daily tickets are $50.
What is the distance between (2,6) and (-2,5)? Round your answer to the nearest tenth.
Answers
Answer: Distance = √17
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
Distance Formula = [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, 6)
Given formula
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance=\sqrt{(2+2)^2+(6-5)^2}[/tex]
Simplify value in the parentheses
[tex]Distance=\sqrt{(4)^2+(1)^2}[/tex]
Simplify exponents
[tex]Distance=\sqrt{16+1}[/tex]
Simplify by addition in the square root
[tex]\boxed{Distance=\sqrt{17}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
find the area of the triangle and round to the nearest tenth
Answers
Answer: 73.5mi²
Step-by-step explanation:
Area of triangle = 1/2×b×h
= 1/2×14×10.5
= 7×10.5
=73.5mi²
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A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi.
Answers
Step-by-step explanation:
Circumference = 76cm
Circumference = 2(π)(r)
r -> radius
=> 2(π)(r) = 76
=> (π)(r) = 76/2
=> (π)(r) = 38
=> 3r = 38
=> r = 38/3
=> r = 13cm (Approx.)
Diameter = 2r = 2(13) = 26cm
Area = π(r)^2
= 3(13)^2
= 3(169)
= 507 cm^2
Answer
d=25.34cm
a=160.53cm
cf=12.67cm
Step-by-step explanation:
circumference=cf
diameter=d
radius=r
area=a
d=2r
=2×12.67cm
=25.34cm
cf=2πr
76cm=2(3)r
76cm=3r
2
38cm=r
3
r=12.66^cm
r=12.67cm
find the area
a=πr^2
a=12.67×12.67πcm
a=160.53πcm(it is near to this)
Write the complies number z=3-3i in trigonometric form
Answers
Answer:
3*sqrt(2) and 3pi/4
Step-by-step explanation:
tan(theta)=y/x and r^2=y^+x^2.
tan(theta)=-3/3=-1, theta=3pi/4
r=sqrt(3^2+3^2)=3*sqrt(2)
Find the simple interest. The rate is an annual rate unless otherwise noted. Assume 365 days in a year and 30 days per month Round to the nearest cent $600 at 3% for 1 year
Answers
9514 1404 393
Answer:
$18
Step-by-step explanation:
The interest is computed using the formula ...
I = Prt
where P is the principal, r is the annual rate, and t is the number of years. The interest is ...
I = $600×0.03×1 = $18
Sierra used the following steps to copy angle ABC:
1. Draw a ray with the endpoint D.
2. Place the compass on point B. Swing an arc that intersects rays BA and BC that creates point E on BA and Fon BC.
3. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G on the ray.
4. Open the compass to the distance between points A and E.
5. Keeping the compass at the same width, place it on point G and swing an arc that intersects the arc created from point D.
6. Label the intersection of the arcs created from point D with point H, and draw a ray from point D through point H.
In which step did the error occur? Explain. (1 point)
Step 2. She did not set the proper compass length.
O Step 2. She drew an arc Instead of a circle.
Step 3. She placed the compass at an incorrect point.
Step 4. She measured the incorrect length.
Answers
The process of copying an angle through construction involve ensuring
that the distance between the two rays forming the angle is the same or
equal in the original and copy of the angle at a given equal distance from
the vertex of both angles
The step where the error occur is step 4. She measured the incorrect length
The reason for the above selection is as follows:
The steps to copy an angle are as follows;
Draw the initial line, l, (the working line) of the copy of the angle as a ray with an endpoint, DIn the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, rPlace the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point GPlace the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EFPlace the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the constructionA critical step in the copying process involves the finding the distance
between the initial line and the terminal line EF at a given distance DG =
AE from the angle vertex
The step where the error occur is in step 4. by opening the compass
between points A and E which are points on the same line and placing the
compass at point G on line l to draw an arc intersecting the arc created
from point D at H, thereby making the radial distance between the two lines
forming the angle, in the copied angle at a distance E from the vertex,
equal to AE rather than EF
Therefore, the error occurred in step 4. She measured the incorrect length
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Simplify and give the answer in standard form: (3/8+5/12) ÷ (8/-15 x 27/16)
Answers
Find the length of x
Answers
Answer:
x = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The triangle is isosceles with legs congruent, both x
Using Pythagoras identity in the right triangle
x² + x² = 16²
2x² = 256 ( divide both sides by 2 )
x² = 128 ( take the square root of both sides )
x = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]
Find the value of x
A. 15
B. 6
C. 60
D. 10
Answers
Answer:
hmm observe the diagram carefully there are 2 arcs drawn which means angle BEC and angle KEC are equal so
6x + 24 = 10x
4x = 24
x = 6
BRAINLIEST PLS
The value of x in the given figure is 6.
Used the concept of an angle of the figure,
An angle is a combination of two rays (half-lines) with a common endpoint.
Given that,
A figure with two congruent triangles is shown in the figure.
Now by definition of congruency of triangles,
∠ BEC = ∠ CEK
Substitute given values,
[tex]6x + 24 = 10x[/tex]
Solve for x,
[tex]24 = 10x - 6x[/tex]
[tex]24 = 4x[/tex]
Divide both sides by 4;
[tex]x = 6[/tex]
Therefore, the value of x is 6.
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Bob wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
Answers
ANSWER: The glass window will cost $252.00 for window replacement.
EXPLANATION:
The area of a square is given by the formula:
s^2
where s is the side length.
If we were to replace the glass window, and it will cost $7.00 per square foot, the total price will be:
FIND AREA OF THE GLASS WINDOW:
6^2 = 36 square feet
$7 per square foot so:
36 x 7 = 252
Therefore it will cost $252.00 to replace the glass window.
6x — Зу = 5
y - 2x = 8
How many solutions does the system have?
Answers
9514 1404 393
Answer:
none
Step-by-step explanation:
Multiplying the second equation by -3 gives ...
6x -3y = -24
Values of x and y that satisfy this equation cannot also satisfy the first equation ...
6x -3y = 5
There are no solutions to this system of equations.
__
The equations describe parallel lines. There is no point of intersection.
How many 2cm×2cm cubes can be packed in a box 1m long,20cm wide and 4cm deep.
Answers
Answer:
1000
Step-by-step explanation:
I guess, something went wrong with the text up there.
I assume it should say 2cm×2cm×2cm cubes. right ? because a cube has 3 dimensions, not just 2.
otherwise an infinitely large number of "just squares" would fit into the box ...
so, the box is
1m×20cm×4cm = 100cm×20cm×4cm = 8000 cm³
a single cube would be
2cm×2cm×2cm = 8 cm³
therefore,
8000 / 8 = 1000 cubes can be packed into that box, since the dimensions of the box in relation to the dimensions of the cubes do not force to have some empty left over space. the box can be packed tightly.
Translate to an equation, then solve
Thirteen less than nine times a number is equal to 11 more than seven times the number.
Answers
Answer:
n=12
Step-by-step explanation:
13 less than 9 times a number: 13 less than 9n, 9n-13
11 more than 7 times a number: 11 more than 7n, 7n+11
9n-13=7n+11
2n=24
n=12
3,6,6,12,9,?,12 what comes next. Options
A.15
B.18
C.11
D.13
Answers
Answer:
a
Step-by-step explanation:
3x tables
vhhvffffhhgfgfccf
Answer:
a
Step-by-step explanation:
Has pattern 3x tables. Answer is 15 A.
Describe what is contained in a credit report
Answers
Answer:
Your credit report contains personal information, credit account history, credit inquiries and public records. This information is reported by your lenders and creditors to the credit bureaus. Much of it is used to calculate your FICO® Scores to inform future lenders about your creditworthiness.
two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.
Answers
Answer:
Step-by-step explanation:
Let v be the speed of the slower car
2v is the speed of the faster car
In 2 hrs, the slower car travels a distance of
2 hr(v km/hr) = 2v km
In 2 hrs, the faster car travels a distance of
2 hr(2v km/hr) = 4v km
2v + 4v = 300
6v = 300
v = 50 km/hr
2v = 100 km/hr
Which equation is represented by the graph?
Answers
Answer:
I don't knowledge bro sorry
Is –8 − –95 positive or negative?
Answers
Answer:
87, which is positive
Step-by-step explanation:
-8 --95
Subtracting a negative is like adding
-8 +95
87
there is a 400 meter track. tom rides a bike at the speeed of 450 meters/minute. mike runs at the speed of 250 meters/minute. if both of them set out at the same time and same place, how soon will they meet for the first time?
Answers
Answer: Distance: 2250
Step-by-step explanation:
Find GCF of 450 and 250
If the average(arithmetic mean) of g and 100 is 75,what is the value of g + 100?
Answers
The value of g + 100 is 150.
Given that,
The average of g and 100 is 75.
And we have to determine the value of g + 100.
So that means
The arithmetic mean of g and 100 is 75.
So, mathematically it should be
[tex]\frac{g + 100}{2} = 75\\\\[/tex]
So, g + 100 = 150
Therefore we can conclude that the value of g + 100 is 150
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