Write an equivalent expression in standard form for (6z-3)(8z+9)-13(45-7z-z^2).
Answers
Answer:
61 z ^2 + 121 z − 612
Step-by-step explanation:
Related Questions
Factorisation of 3p^3 + 9p^2- 15pq
Answers
Answer:
STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p
STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p
STEP 3:STEP 4:
Pulling out like terms 4.1 Pull out like factors : 3p3 + 9p2 - 210p = 3p • (p2 + 3p - 70)
Trying to factor by splitting the middle term 4.2 Factoring p2 + 3p - 70 The first term is, p2 its coefficient is 1 .The middle term is, +3p its coefficient is 3 .The last term, "the constant", is -70 Step-1 : Multiply the coefficient of the first term by the constant 1 • -70 = -70 Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term,
which is 3 . -70 + 1 = -69 -35 + 2 = -33 -14 + 5 = -9 -10 + 7 = -3 -7 + 10 = 3 That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 10 p2 - 7p + 10p - 70
Step-4 : Add up the first 2 terms, pulling out like factors : p • (p-7) Add up the last 2 terms, pulling out common factors : 10 • (p-7)Step-5 : Add up the four terms of step 4 : (p+10) • (p-7) Which is the desired factorization
Final result : 3p • (p + 10) • (p - 7)
Step-by-step explanation:
mark me brainliest!!
can i plz get some help with this!
its about finding the conjecture
Answers
Answer:
3-they are cubes of consecutive natural numbers
1 cube is 1
2 cube is 8
3 cube is 27
and so on...
let me know if you're asking fourth one or third one
triangle the is dilated according to the tule DO, (x,y) (three fourths x,three fourths y) to create the image triangle t’v’w’,
Answers
The coordinates of the segment T'V' are (-3, 6) (0, 1).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
We have,
Triangle TVW which has points (-4, 8), (0, 4) and (4, 4) and on a coordinate plane.
Scale factor 3x/4, 3y/4
It has to be dilated to create a new triangle, T'V'W'.
So,
To create a new triangle,
we have to multiply the original triangle's coordinate by scale factor, to get the new triangle's coordinate.
So, we have to dilate the coordinates by 3x/4, 3y/4,
T' = (-4x 3/4, 8x3/4) = (-3, 6)
V' = (0x 3/4, 4x3/4) = (0, 1)
W' = (4x3/4, 4x3/4) = (1, 1)
So, the coordinates of triangle after dilation are (-3, 6), (0, 1) and (1, 1).
Hence, we can say that the coordinates of the endpoints of the segment are (-3, 6), (0, 1).
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The complete question is;
Triangle TVW is dilated according to the rule
DO,(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.
On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).
What are the coordinates of the endpoints of the segment T'V'?
T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)
f′(−2)=−1,f′(−1)=1,f′(0)=−2,f′(1)=5
Answers
A derivative of a function shows the rate of change of the function at any point on the function. the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)
To find the equation of the original function f(x), we need to integrate the derivative function f′(x). Let's integrate the given derivative function f′(x) in order to get the original function f(x).
\($$\int f'(x) dx = \int (c_1x^3 + c_2x^2 + c_3x + c_4) dx$$$$ f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$\)
Now, we need to find the values of constants c1, c2, c3, c4 and c5 by using the given conditions:
f′(−2)=−1\($$f(-2) = \int f'(-2) dx = \int (-1) dx = -x + c_5$$\)
Put x = -2 in f(x) and f′(−2)=−1,\($$-1 = f'(-2) = \frac{d}{dx} (-2 + c_5) = 0$$\)
Hence, c5 = -1f′(−1)=1\($$f(-1) = \int f'(-1) dx = \int 1 dx = x + c_4$$\)
Put x = -1 in f(x) and\(f′(−1)=1,$$1 = f'(-1) = \frac{d}{dx} (-1 + c_4) = 0$$\)
Hence, c4 = 1\(f′(0)=−2$$f(0) = \int f'(0) dx = \int -2 dx = -2x + c_3$$\)
Put x = 0 in f(x) and \(f′(0)=−2,$$-2 = f'(0) = \frac{d}{dx} (-2 + c_3) = 0$$\)
Hence, c3 = -2\(f′(1)=5$$f(1) = \int f'(1) dx = \int 5 dx = 5x + c_2$$\)
Put x = 1 in f(x) and f′(1)=5,\($$5 = f'(1) = \frac{d}{dx} (5 + c_2) = 0$$\)
Hence, c2 = -5
the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)
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Convert 7.5 gallons to quarts using a unit multiplier.
Answers
Answer:
7.5 Imperial Gallons = 30 Imperial Quarts
Hi there!
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I believe your answer is:
30 qt.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
There are 4 quarts in a gallon.7.5 * 4 = 30
7.5 gal. = 30 qt.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1. Det. the discharge of a rectangular 2) flume 3m wide. 1.5m deep on ure ne 0.013. slope of as 0.0025. Find also the boundary shear stress. Solution:
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Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)
Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,
R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²
The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².
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What is the perimeter of an unshaded triangle in Stage 4 ?
Answers
The perimeter of an unshaded triangle in Stage 4 can be calculated by adding the lengths of all three sides of the triangle.
The specific terms "perimeter," "unshaded triangle," and "Stage 4" suggest that you are referring to a specific context, but without more information, only a general explanation can be provided. The perimeter of an unshaded triangle in Stage 4 can vary depending on the specific measurements of the triangle. To find the perimeter of a triangle, simply add the lengths of all three sides together.
Let's say the lengths of the sides of the triangle are a, b, and c. To find the perimeter, you simply add these lengths together:
Perimeter = a + b + c
For example, if side a is 5 units long, side b is 3 units long, and side c is 7 units long, then the perimeter would be:
Perimeter = 5 + 3 + 7 = 15 units
So, the perimeter of this triangle would be 15 units.
It's important to note that without specific measurements for the sides of the triangle in Stage 4, it's not possible to provide an exact perimeter. However, the general formula provided above can be used to calculate the perimeter once the side lengths are known.
Remember, the perimeter of a triangle is the total distance around its outer boundary, which is the sum of all three sides.
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Direction: Simplify each expression using Product Rule.
: (−
3)(23
) = −2(
3+1
1+3
)
= −2
1. (
2
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4
) = 6. (34
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3
)
2. (6
2
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3
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2)(−3
3
5
)
3. (
2
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4
)(
2
) = 8. (2
2
)(3
4
)
4. (
1
2) (
1
2) = 9. (
1
3) (
2
3) =
5. (
3
5) (
1
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6) (−3
1
6)=
Answers
Answer:
pagal answer toone khoo
The endpoints of line segment AB is A(2x,y-1) and B(y+3,3x+1). The midpoint of AB is M(-7/2,-8) What is the length of AB? Round to the nearest tenth if necessary
Answers
The solution of this system is (x, y) = (- 6, 2).
What is the length of the line segment AB?
The endpoints of line segment AB and its midpoint are described by algebraic expressions. The following relationship between the endpoints and the midpoint is shown by the following formula:
M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)
(- 7 / 2, - 8) = 0.5 · (2 · x, y - 1) + 0.5 · (y + 3, 3 · x + 1)
(- 7 / 2, - 8) = (x, 0.5 · y - 0.5) + (0.5 · y + 1.5, 1.5 · x + 0.5)
(- 7 / 2, - 8) = (x + 0.5 · y + 1.5, 1.5 · x + 0.5 · y)
(x + 0.5 · y , 1.5 · x + 0.5 · y) = (- 5, - 8)
Which is equivalent to the following system of linear equations:
x + 0.5 · y = - 5
1.5 · x + 0.5 · y = - 8
The solution of this system is (x, y) = (- 6, 2).
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what is 222.567 x 4886.88
Answers
Answer:
bro just look on a caculater
Step-by-step explanation:
1087658.22
What is the salesperson’s total earnings if she works 36 hours and has sales of $10,000?
Answers
The total earning of the salesperson is $1040 when she works for 36 hours and has sale of $10,000.
According to the question,
We have the following information:
E = 15h + 0.05s where E is the total earning, h is number of hours and s is the amount of sales
In this case, we have h = 36 hours and s = $10,000
Now, we can use the give expression to find the total earning:
E = 15*36+0.05*10000
E = 540 + 500
E = 1040
Hence, the total earning after working for 36 hours and making sales of of $10,000 is $1040.
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find the number of triangles that can be formed using 14 points in a plane such that 4 points are collinear?
Answers
The number of triangles that can be formed using 14 points in a plane such that 4 points are collinear is 360.
If 4 points are collinear, then we can choose any 3 of those points to form a line segment, which cannot be extended to form a triangle.
we need to choose 3 points from the 14 points such that no 3 of them are collinear.
The number of triangles that can be formed from n non-collinear points in a plane is given by the formula:
C(n,3) = n(n-1)(n-2)/6
where C(n,3) is the binomial coefficient for choosing 3 items out of n.
So, to find the number of triangles that can be formed using 14 points in a plane such that 4 points are collinear,
we first need to find the number of ways to choose 3 points from 14 points, and then subtract the number of ways to choose 3 points from the 4 collinear points.
That is:
Total number of triangles = C(14,3) - C(4,3)
Total number of triangles = 364 - 4
Total number of triangles = 360
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I need help can somebody help please M-4=2m
Answers
Answer: I believe the answer is M= -4
Step-by-step explanation:
Determine whether the equation is exact. If it is, then solve it. e'(7y-5t)dt+ (9+7 e¹) dy=0 Select the correct choice below and, if necessary, fill in the answer box to A. The equation is exact and an implicit solution in the form F(t,y) = C (Type an expression using t and y as the variables.) OB. The equation is not exact.
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Option B is correct as the given equation is not exact.
To determine if the equation is exact, we need to check if the partial derivatives of the coefficients with respect to each variable are equal. In this case, the coefficient of dt is e^(7y-5t) and the coefficient of dy is 9+7e.
Taking the partial derivative of the coefficient of dt with respect to y, we get d/dy(e^(7y-5t)) = 7e^(7y-5t), while the partial derivative of the coefficient of dy with respect to t is d/dt(9+7e) = 0. These partial derivatives are not equal, indicating that the equation is not exact.
Therefore, the correct choice is (B) - "The equation is not exact." Since the equation is not exact, we cannot solve it directly using methods such as finding an integrating factor or the potential function.
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James walked at a constant rate for 3 hours as shown in the graph. Jaycee walked 14.5 miles in 3 hours at a constant rate. Who walked farther, and how much farther?
Answers
Answer:
Jaycee walked \(2.5\) miles farther.
Step-by-step explanation:
Given
Jaycee walked 14.5 miles in 3 hours at a constant rate.
Step 1 of 1
From given graph \($(1,4)$\), \($(2,8)$\) is a two points.
Then the equation of the line are \($y=4 x$\)
This imply at \($x=3\) ;
\(y=12$\)
Therefore, James walked \(12\)miles in \(3\) hours.
Jaycee walked \($14.5$\) miles in \(3\) hours.
Jaycee walked farther and that is \($(14.5-12)$\)mile
\(=2.5\)miles
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Find the equation of a line that is parallel to the graph of y-3x=4 and has the same y-intercept as the graph of 4y+x=36
Answers
The slope intercept form of a line is given by:
\(\begin{gathered} y=mx+b \\ where \\ m=slope \\ b=y-intercept \end{gathered}\)Two lines are parallel if:
\(m1=m2\)Where:
m1 = slope of the line 1
m2 = slope of the line 2
Rewrite the equations in the slope intercept form:
\(\begin{gathered} y-3x=4 \\ y=3x+4 \end{gathered}\)From the previous equation we can conclude that the slope is m = 3, since the line we need to find is parallel to this one, we can conclude that the slope of the line we are trying to find is also m = 3
For the other equation:
\(\begin{gathered} 4y+x=36 \\ 4y=36-x \\ y=-\frac{1}{4}x+9 \end{gathered}\)From this line we can conclude that the y-intercept is b = 9, since the line we are trying to find has the same y-intercept, we can conclude that its y-intercept is also b = 9. Therefore, the equation of the line is:
\(y=3x+9\)Given that M angle 1 = (16x) degrees, M angle 2 = (8x + 21), and M angle 4 = (25x + 19), what is an expression for M angle 3? What is M angle 3
Answers
Answer:111
Step-by-step explanation:
A football team lost 8 yards on each of three consecutive plays. What was the team’s total yardage offer three plays?
Answers
Answer:
24 yards
Step-by-step explanation:
The original cost of a sled is $99.50 and a store marks the price up 95%. What is the new selling price? *
1 point
The original cost of a comic book is $3.95 and the store marks up the price 20%. What is the new selling price? *
1 point
The original cost of an oil change is $18.00 and the store marks up the price 70%. What is the new selling price? *
1 point
The original cost of a CD is $14.50 and the store marks up the price 30%. What is the new selling price? *
1 point
The original cost of an MP3 player is $129.50 and the store marks up the price 60%. What is the new selling price? *
1 point
The original cost of an oil change is $21.95 and the store marks up the cost 65%. What is the new selling price? *
1 point
The original cost of a pen is $0.95 and the store marks up the price 60%. What is the new selling price? *
1 point
The original price of a computer is $1850.00 and the store marks up the price 75%. What is the new selling price? *
1 point
The original price of concert tickets is $100.00 but there is a 21% discount. What is the new selling price? *
1 point
The original price of a book is $18.50 and the store has a 45% discount. What is the new selling price? *
1 point
The original price of a telescope is $99.99 but the store is running a 13% discount. What is the new selling price? *
1 point
The original price of a CD is $22.99 but there is a 5% discount. What is the new selling price? *
1 point
The original price of a sled is $99.50 and the store has a 50% discount. What is the new selling price? *
1 point
The original price of a camera is $554.99 and is currently on sale for 48% off. What is the new selling price? *
1 point
The original price of a CD is $17.00 but it is currently on sale for 50% off. What is the new selling price? *
1 point
The original price of a CD is $22.95 but there is a 10% discount. What is the new selling price? *
1 point
The original price of a book is $49.95 and the sales tax rate is 3%. What is the total price? *
1 point
The original price of a book is $90.50 and the sales tax rate is 4%. What is the total price? *
1 point
The original price of an MP3 player is $99.50 and the sales tax rate is 4%. What is the total price? *
1 point
The original price of a microphone is $129.99 and the sales tax rate is 1%. What is the total price? *
1 point
The original price of a pen is $1.50 and the sales tax rate is 4%. What is the total price? *
1 point
The original price of a pair of shorts is $19.99 and the sales tax is 2%. What is the total price? *
1 point
The original price of a new car is $42,000.00 and the sales tax is 3%. What is the total price of the car? *
1 point
The original price of a goldfish is $1.50 and the sales tax is 5%. What is the total price? *
1 point
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Answers
Answer:
$194.025
Step-by-step explanation:
I can only answer 1 for now
LET'S FIND THE QUOTIENTS!:
(4m² + 5m - 6 ) ( m + 2)
HELPPPPP!!!
Answers
Answer:
4\(m^{3}\) +13m² + 4m - 12
Step-by-step explanation:
Use FOIL type method:
(4m^2 +5m - 6)(m+2)
= (4m^2)(m) + (5m)(m) - (6)(m) + (4m^2)(2) + (5m)(2) - (6)(2)
= 4m^3 +5m^2 +8m^2 -6m +10m -12
combine like terms:
= 4m^3 +13m^2 + 4m -12
What is the connection string for SQL Server using Windows Authentication?
Answers
The connection string for SQL Server using Windows Authentication is as follows:
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.
Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.
Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.
Use semicolons (;) to separate the different parts of the connection string.
Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.
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(4.2x10^6)(1.1x10^7)
Answers
Answer:4.62x10^13
Step-by-step explanation:
6⋅10 ^ −2 is how many times as large as 2.10^-8
Answers
Answer:
4 5/6
Step-by-step explanation:
Martha is in a hot air balloon that has risen straight up from the launch point. Matthew is standing on the ground, 16 meters away from the launch point. If Martha and Matthew are 20 meters apart, how high has the balloon risen?
A: 12 meters B: 4 meters
C: 144 meters D: 36 meters
Answers
Based on the distance between Martha and Matthew and the distance of Matthew from the launch point, the height of the balloon is 12 meters.
What is the height of the balloon?The height of the balloon can be found by using the Pythagorean theorem as this situation models a right angled triangle.
The height of the balloon is:
Distance between Matthew and Martha² = Distance of Matthew from launch point² + Height²
20² = 16² + Height²
Height² = 20² - 16²
Solving gives:
Height² = 400 - 256
Height = √144
= 12 meters
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Calculate the area of the composite figure, which is not drawn to scale.
Answers
Answer:
Step-by-step explanation:
Area of the Rectangle: 17 *22=374
Area of a triangle:
We know that one side is 19cmFor the other side, the length is 22cm minus the 10cm, which gets us 12 cmThe area of Triangle is (1/2)*19*12=114Total Area: area of rectangle + area of triangle = 114+374=488
I hope that helps!
Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane. 5 units
Answers
Answer:
\(\sqrt{73}\)units.
Step-by-step explanation:
We have given a pentagon ABCDE
We need to calculate its length
That means we have to find the distance of AD
So, coordinates of A(1,6) and D(4,-2)
Using distance formula:
Here,
On substituting the values we will get:
On simplification:
Hence, the length of AD is units.
standard form 20 on -45
Answers
Please help me!!!!!!!!!!!
Answers
Answer:
it has 2 solutions but you can choose the one solutions
CO 5
What is the value of tan(60°)?
A
O
12
30°
3
B
60°
6
Answers
Answer:
√3
Step-by-step explanation:
6 (y - 5) = 18 - 2y
Answers
\(6(y) + 6( -5 ) = 18 - 2y \\ 6y - 30 = 18 - 2y \\ 6y + 2y = 18 + 30 \\ 8y = 48 \\ \frac{8y}{8} = \frac{48}{8} \\ y = 6\)
ATTACHED IS THE SOLUTION