Answers
Answer:
2one
Step-by-step explanation:
Related Questions
let f(x)=3-3x+5x^2.calculate the following.
f(a)=
f(a+h)=
f(a+h)-f(a)/h= for h≠0
Answers
Answer & step-by-step explanation:
[tex]f(a)[/tex] is simply calculating by replacing a in lieu of x
[tex]f(a) = 3-3a+5a^2[/tex]
Same difference for [tex]f(a+h)[/tex], just be careful with products and squares:
[tex]f(a+h) = 3-3(a+h)+5(a+h)^2 = 3-3a-3h+5a^2+10ah+5h^2 = 3-3a+5a^2 -3h+10ah+5h^2[/tex]
In the last step i just reorganized terms so that everything containing h was at the end.
Finally, for the incremental ratio, writing it as 1/h for the sake of font sizes:[tex]\frac{f(a+h)-f(a)}h = \frac1h[(3-3a+5a^2-3h+10ah+5h^2)-(3-3a+5a^2)]=\\\frac1h(-3h+10ah+5h^2) = 10a-3 +5h[/tex]
If the area of a triangle is 100 in^2, and the height is 10in, find the length of the base in inches.
Round to the nearest inch if applicable.
Answers
Answer:
Area of a triangle is 100 in²
Height of triangle is 10 in .
we have been asked to find the length of its base .
Formula Used to Find length of its base
☯[tex] \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: [/tex]
Put the given value we obtain
[tex] \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch[/tex]
So, the length of its base is 20 inch .
The base length of the triangle with the given values of area and length of height to the nearest inch 20in.
What is a triangle?
A triangle is a two-dimensional shape with three edges and three vertices.
The area of a triangle is expressed as;
A = (1/2) × base × height
Given the data in the question;
Area of the triangle A = 100in²Length of Height = 10inLength of Base = ?We substitute our given values into the expression above.
A = (1/2) × base × height
100in² = (1/2) × Base × 10in
100in² = 0.5 × 10in × Base
100in² = 5in × Base
Base = 100in² / 5in
Base = 20in
Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.
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Explain and Prove that the sides of the triangles below are a right triangle.
1.) 5, 10,12
2.) 6,5,3
3.) 3, 4, 5
4.) 6, 8,10
*Pls explain all ill give you brainliest or w.e its called*
Answers
&
4.) 6, 8, 10
Those two are right triangles because when you add the squares of the first two it should give you the square root of the third number
a^2 + b^2 = c^2
So
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Therefore they are right triangles
But 1 & 2 aren’t right triangles because when you add the squares of the first two number, it doesn’t equal to the square root of the third number.
Hope this helps!!
Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R3 connected in series. Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.
Answers
Answer:
Step-by-step explanation:
the resistors which connected in series
equivalent resistance = R1 +R2 + R
is the relationship between the resistors connected in series.
For parallel connection
R1 = 2ohm
R2 = 3ohm
R3 = 6ohm
for equivalent resistance (Rt)
1/Rt = 1/R1 + 1/R2 + 1/R3
1/Rt = 1/2 + 1/3 + 1/6
1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1
Rt = 1 ohm
equivalent resistance = 1 ohm
Please answer my question fast.
Answers
Answer: 19
Step-by-step explanation: Take 1836 and divide by 23 because 23 is the amount of boxes James needs to fill. Then after you divide you have 19 left over. :)
(9x + 4) (2x2 – 17x - 9) = 0
-
Answers
Answer:
I literally just did this one. you get 3 solutions x=9, -1/2, -4/9. factor the 2nd group.
. Solve the system of equations using the Elimination Method.
X+3y - 2z=2
3x+2y+z=13
-2x+3y - 3z= -5
Answers
Answer:
{x,y,z}={1,3,4}
Step-by-step explanation:
System of Linear Equations given :
[1] x + 3y - 2z = 2
[2] 3x + 2y + z = 13
[3] -2x + 3y - 3z = -5
Solve by Substitution :
// Solve equation [2] for the variable z
[2] z = -3x - 2y + 13
// Plug this in for variable z in equation [1]
[1] x + 3y - 2•(-3x-2y+13) = 2
[1] 7x + 7y = 28
// Plug this in for variable z in equation [3]
[3] -2x + 3y - 3•(-3x-2y+13) = -5
[3] 7x + 9y = 34
// Solve equation [3] for the variable y
[3] 9y = -7x + 34
[3] y = -7x/9 + 34/9
// Plug this in for variable y in equation [1]
[1] 7x + 7•(-7x/9+34/9) = 28
[1] 14x/9 = 14/9
[1] 14x = 14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
x = 1
y = -7x/9+34/9
z = -3x-2y+13
// Use the x value to solve for y
y = -(7/9)(1)+34/9 = 3
// Use the x and y values to solve for z
z = -3(1)-2(3)+13 = 4
Solution :
{x,y,z} = {1,3,4}
What is 2/3 - (-2/3)?
OA) -4/3
OB) 4/3
C) 0
OD) 2/3
Answers
Answer:
OB
-2 multiply by a -2 is a - 4 which is a numerator then
3 doesn't change cause it is a denomenator
thus your final answer is a -4/3
please help
calculate each unknown side length.
Answers
Answer:
x = 6.6 inchesy ≈ 12.0 inchesStep-by-step explanation:
The Pythagorean theorem relates side lengths in right triangles. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
__
Left triangle8.8² + x² = 11²
x² = 121 -77.44 = 43.56
x = √43.56 = 6.6 . . . inches
__
Right triangle6.6² +10² = y²
43.56 +100 = y² = 143.56
y = √143.56 ≈ 11.982
y ≈ 12.0 . . . inches
Samantha has saved $40 towards buying a $125 electronic book reader. Starting this week, she plans to save an additional $15 each week.
Write and solve an inequality that can be used to find the minimum number of weeks, w, it will take Samantha to save for the book reader
Answers
125 = 40 + 15w
W = number of weeks
6 weeks is 125 = 40 + 15(16)
15(16) is 90 so 90 + 40 = 130
So the inequality would be w >= 6
To be more precise because 6 weeks is $130 and not $125, divide 85 (money still needed) by 15 to get the decimal 5.66…, so it would be w >= 5.66…
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
a Dan
b Joe
c Lee
d Roy
Answers
Answer:
c Lee
Step-by-step explanation:
The coordinates of the community center are both negative. They place it 2 units left and 3 units up from Lee's house in the 3rd quadrant.
GIVING BRAINLEST TO WHOEVER ANSWERS FIRST!!!!!!!!!!!!
Which two methods can be used to solve the equation 5/7 n = 8 3/5 ?
Group of answer choices
Multiply both sides by 5/7 or divide both sides by 7/5.
Divide both sides by 5/7 or multiply both sides by 7/5.
Add 5/7 to both sides or subtract 7/5 from both sides.
Subtract 5/7 to both sides or add 7/5 to both sides.
Answers
Answer:
b. divide both sides by 5/7 or multiply both sides by 7/5
What is the measure of the unknown angle? 7 50° n
Answers
Answer:
310°
Step-by-step explanation:
360 - 50 = 310
A full circle is 360, therefore you just need to take away the degree they gave you from it in order to find the remaining angle.
what is the probability and odd for 7/16
Answers
Answer:
What is the probability and odd for 7/16
There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.
Which of these whole aumbers are even
7,987
936
13,483
15
Answers
Answer:
936
Step-by-step explanation:
The perimeter of rectangle is 36 the length is 3 more than two times the width
Answers
Answer:
The width of the rectangle is equal to 5 and the length is equal to 13
Step-by-step explanation:
Perimeter of rectangle = (Length + Width) ×2
Perimeter of rectangle = (13 + 5) ×2
Perimeter of rectangle = 36
The length of the rectangle is 13, which is 3 more than two times the width, if the width is 5
5 (Width) ×2 = 10
10 +3 = 13 (Length)
If the function f(x) = 4* is translated up 6 and left 2, write the new function
Answers
Answer:
f(x+2)+6 = 4^(x+2)+6
Step-by-step explanation:
(The power is to the x+2) Hope this helps!:)
2 less than or equal to x less than or equal to 6 1 less than or equal to y less than or equal to 5 x plus y less than or equal to 8 maximum for P = 3x + 2y
Answers
Answer: A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10
Step-by-step explanation:
An advertising executive wants to determine if a new billboard placed in a city caused sales of her product to increase. To do this, she selects random stores that sell the product on the billboard and compares the amount sold in one business cycle before the billboard was placed to the sales of one business cycle after. Suppose that data were collected for a random sample of 10 stores, where each difference is calculated by subtracting the number of units sold in thousands before the billboard was placed from the number of units sold in thousands after the billboard was placed. Assume that the numbers are normally distributed. The executive uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈6.537, which has 9 degrees of freedom, determine the range that contains the p-value.
Answers
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The correct option is the first and the last option
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The null hypothesis is [tex]H_o : \mu_d = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_d > 0[/tex]
The test statistics is [tex]t \approx 6.537[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(t > 6.537 )[/tex]
From z-table [tex]P(t > 6.537 ) = 0[/tex]
So
[tex]p-value = 0[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is equal to zero
Thus we conclude that
Based on the results of the hypothesis test, there is not enough evidence at the level of significance(0.05) to suggest that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is greater than zero
What are the zeros of the graph shown? (SELECT ALL THAT APPLY.)
Answers
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis
Which is a better deal: five packs of gums for $3.00 , seven packs of gum for $4.00
Answers
Answer:
I believe the better deal would be,
Seven packs of gum for $4.00.
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.
What was Femi's mean score?
Answers
Answer:
77
Step-by-step explanation:
Enter the coordinates of the point
on the unit circle at the given angle.
240°
Answers
EXPLANATION:
To convert degrees to radians, multiply by π / 180 °
since a full circle is 360° or 2π radians.
240°⋅π / 180° radians
Cancel the common factor of 60
4 × π / 3 radians
Combine 4 and π / 3.
4π / 3 radians
HOPE ITS HELPS !!!!!
The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
The formula for calculating Radians is:
[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]
Formula for calculating coordinates of point (x, y) on circle:x=rcosθ
y=rsinθ (where r is the radius of circle for unit circle r=1)
According to the question
we have
θ = 240 degrees and, r =1
so, 240 degrees = 240×[tex]\frac{\pi }{180}[/tex]
⇒240 degrees = [tex]\frac{4\pi }{3}[/tex] (in radians)
Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as
[tex]x=(1)cos\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]x=\frac{-1}{2}[/tex]
And,
[tex]y=(1)sin\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]y=\frac{-\sqrt{3} }{2}[/tex]
Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
Learn more about coordinates of the point on circle here:
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A rectangular frame has width 7 in. longer than its length. What is the width of the painting if its area is 18 in?
A)6 inches
B)2 inches
C)3 inches
D)9inches
Answers
Answer:
9inches
Step-by-step explanation:
i think i hope its right..
Which graph represents the inequality y≥1−3x?
Answers
Answer:
first one
Step-by-step explanation:
The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph A
Inequality graphInequality is are expressions not separated by an equal sign
The correct graph must have a solid line and shaded above the graph. The correct inequality sign will be a greater than or equal
Given the inequality y≥1−3x
The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph A
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Multiplying an integer by a negative number word problem example
Answers
Answer:
7 * (-4)
Step-by-step explanation:
Firstly, 7 is an integer(meaning there is nothing special about it, its not a decimal, its just an integer). -4 being the negative number in the example
hope i helped
:D
Simplify the expression.
(5+6i)+(-2+4i)
Answers
Answer: 3 + 10i
Step-by-step explanation:
Complex numbers follow the same rules that real numbers do when it comes to addition and subtraction. Removing the parenthesis we have:
[tex]5+6i-2+4i[/tex]
Combine the real parts, then combine the complex parts:
[tex]3+10i[/tex]
(3x+3)what is the measure
Answers
Answer:
I don't think you provided the whole question...
Step-by-step explanation:
If the sum of a number and nine is tripled. The result is eight less than twice the number
Answers
Answer:
-35
Step-by-step explanation:
[tex]3(x+9)=2x-8[/tex]
[tex]3x+27=2x-8[/tex]
[tex]x+35=0[/tex]
[tex]x=-35[/tex]
Answer:
The number is -35.
Step-by-step explanation:
3(n + 9) = 2n - 8
3n + 27 = 2n - 8
n = -35
Tony has a narrow piece of wood that is 40 inches long. He wants to make a frame for a picture. He wants to top and bottom to be 12 inches in length. How wide will be?