[tex]\text{The roots are 13 and 2.}\\\\\text{Now, the quadratic function,}\\\\~~~~~~~f(x) =x^2 -(13+2)x + (13)(2)\\\\\implies f(x)= x^2 -13x-2x + 26\\ \\\implies f(x) = x^2 -15x+26[/tex]
Use the product rule to simplify a ^7 x a ^11
Answer:
The answer to the question a∧18
Answer:
[tex]a^{18}[/tex]
Step-by-step explanation:
Use the product rule to simplify a ^7 x a ^11
[tex]a^{7}[/tex] × [tex]a^{11}[/tex] =
(add the exponents)
7 + 11 = 18
[tex]a^{18}[/tex]
It's seventh grade social studies the question is written "how did the issue of slavery cause the Civil War?"
Answer:
The civil war started because the south wanted to keep the country enslaved while the north wanted a free slave country. This divison between the north and the south created the civil war
Answer:
It divided the nation.
Step-by-step explanation:
North wanted to banned slavery, while the south didn't. At that time states from the north and the south were in the union. The south succeeded from the union, because of some slavery issues which lead to the Civil War.
50 POINTS AND BRAINLIEST!!!!!!!
This table represents a proportional relationship between x and y.
x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Reason:
Pick any column and divide y over x
column one: y/x = (1.82)/(1.3) = 1.4column two: y/x = (2.24)/(1.6) = 1.4column three: y/x = (2.66)/(1.9) = 1.4column four: y/x = (3.08)/(2.2) = 1.4You only need to pick one column when it comes to showing your work.
The constant of proportionality is 1.4
This leads to the equation being y = 1.4x
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm. What is the focal length (in cm) of the lens?
The focal length of the lens is 40cm.
What is the focal length?The distance between the center of a lens or curved mirror and its focus.
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm.
The focal length of the lens is given by the following formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\Where; \ r_1 =\infty , \ r_2=20, \ and \ n = 1.5[/tex]
Substitute all the values in the formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\\rm \dfrac{1}{f}=(1.5-1) \left ( \dfrac{1}{\infty}-\dfrac{1}{20} \right)\\\\ \rm \dfrac{1}{f}=(0.5) \left ( 0-\dfrac{1}{20} \right)\\\\ \dfrac{1}{f} = \dfrac{-0.5}{20}\\\\\dfrac{1}{f}=-0.025\\\\f = \dfrac{-1}{0.025}\\\\f=-40[/tex]
Hence, the focal length of the lens is 40cm.
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The mean of this data set is 9. What number is missing?
11,20,_,3,1
10 is the mean of the number that is missing.
What is mean?A property of an assortment of data that represents an average is called the mean. Depending on the nature of the information as well as the kind of average you require, one can compute the mean theoretically employing any of the several ways. Scheming the data distribution constantly allows one to visually determine the mean as well.
Let the missing number be x.
The sum of all the numbers will be
= 11 + 20 + 3 + 1 + x
= 35 + x
The total number is 5.
The mean is given to be 9.
The mean will be
9 = (35 + x) / 5
9 * 5 = 35 + x
45 = 35 + x
10 = x
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HELP ILL GIVE BRAINLIEST
Answer:
B) 8/9
Step-by-step explanation:
0.3 + 0.5 = 0.8Change to repeating decimal (0.888888...)The decimal converts to 8/9Answer:
B
Step-by-step explanation:
0.3333 + 0.5555 = 0.8888
as a fraction it's 8/9
Which expression represents the volume of the cone that is startfraction pi over 4 endfraction times the volume of the pyramid that it fits inside? startfraction pi over 4 endfraction(2r2h) startfraction pi over 4 endfraction(4r2h) startfraction pi over 4 endfraction(startfraction r squared h over 3 endfraction) startfraction pi over 4 endfraction(startfraction 4 r squared h over 3 endfraction)
The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex].
What is the Volume of a Pyramid?Volume of a pyramid = 1/3(length)(width)(height)
Find the volume of the pyramid in the image given:
Volume of the pyramid = 1/3(2r)(2r)(h)
Volume of the pyramid = 4r²h/3
We are given that the volume of the cone is π/4 of the volume of the pyramid.
Therefore, the expression that represents the volume of the cone would be: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex]
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Answer:
D:
Step-by-step explanation
What is the measure of
Answer:
can i have life orientation project memo for term 2
PLEASE HELP I NEED THE CORRECT ANSWER AS I ONLY HAVE ONE TRY AND I NEED TO SUBMIT IT IN 10 MINUTES
Answer:
A, B, D
Step-by-step explanation:
A 6x3 =18
B 9x2=18
D 9x2=18
Tried to do this one on my own but still dont get how to do it.
Answer:
238
Step-by-step explanation:
First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter. 34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!
can anybody help me...
Answer: The 3 angles shown need to equal 180 degrees
x = 180 - 75 - 65
x = 40 degrees
Step-by-step explanation:
I had someone help out with this one...hope this helps u out have a good rest of ur day!!!!!
is this the right answer
Answer: A
Step-by-step explanation:
Origin is at 0,0, and the arrow is pointing towards the center which is 0,0.
Sandra calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?
Four triangles A, B, C, D are shown from left to right. Triangle A has two sides labeled 6 each, and the included acute angle is shown. Triangle B has one side labeled as 2 and the other as 3, and the included obtuse angle is shown. Triangle C has one side labeled as 6 and the other as 7, and the included acute angle is shown. Triangle D has one side labeled as 2 and the other as 3, and the included right angle is shown.
A
B
C
D
Find the value of X round to the nearest degree
Answer:
50
Step-by-step explanation:
to find the value of x use "sinerule"
sinx/13= Sin90/17
sinx = sin90×13/17
sinx= 14/17
sinx= 0.764705882
X= SIN^-1(0.764705882)
X = 49.888
X= 50
The area of a
triangle is 21 in
The base is 7cm.
What is the
height?
Answer:
7 inches
Step-by-step explanation:
1. Covert 7cm into inches: approximatly 3 inches.
2. 21/3: 7
3. 7 inches
Half of a circular cake is left after a party. A piece of cake with a 44˚ angle is eaten.
What is the angle in the piece that is left?
Answer:
136°
Step-by-step explanation:
The whole of the cake angle = 360°
Half of it = 180°
Therefore; if 44° angle is eaten out of the half i.e 180°
Then what's left = 180° - 44° = 136°
Y-intercept of x- 2y = -10
Please help
Answer:
y = [tex]\frac{1}{2} x\\[/tex]+5
Step-by-step explanation:
Y-intercept 5
Answer:
y- intercept = 5
Step-by-step explanation:
to find the y- intercept let x = 0 in the equation and solve for y
this relies on the fact that when the line crosses the y- axis the x- coordinate is zero, then
0 - 2y = - 10 , that is
- 2y = - 10 ( divide both sides by - 2 )
y = 5
then y- intercept = 5
A 60 foot by 20 foot garden is enclosed by a fence. To increase the area of the garden, while still using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden
The increase in square feet when the garden is enlarged is 400 square feet.
What is the increase in square feet?The first step is to determine the perimeter of the fence:
Perimeter = 2( length + width)
2 (60 + 20)
= 160 feet
When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.
Length of side of the square = 160 / 4 = 40 feet
Area of the square = 40 x 40 = 1600 square feet
Area of the garden = 60 x 20 - 1200 square feet
Difference = 1600 - 1200 = 400 square feet
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the radius of a sphere is r=17
what is the volume
Answer:20579.53
Step-by-step explanation:round it to its hundreth or tenth based on the question or full
Zane took Jessica to dinner. The check was $31.23. They left a tip of 25% the total check. How much was the total cost of the dinner (including tip)?
The sides of a triangle are 5.2 cm, 6.3 cm and 9.4 cm, each correct to the nearest millimetre.
Calculate the lower bound of the perimeter of the triangle.
Answer:
20.75
Step-by-step explanation:
5.2 lower bound = 5.15
6.3 lower bound = 6.25
9.4 lower bound = 9.35
5.15 + 6.25 + 9.35 = 20.75
(tan30°+cos30°) / tan30° × cos30°
Answer:
Look at the photo and Goodluck
For a science experiment, maria threw an egg 88.2 meters in 3 seconds. what was the average rate of speed of the egg? a. 88.2 m/sec. b. 44.1 m/sec. c. 29.4 m/sec. d. 9.8 m/sec.
Answer: its not A its b c or d sorry i could not help more
Answer:
The answer is C. 29.4 m/sec.
Step-by-step explanation:
I got it right ^w^
Given: ∠ABC and ∠CBD are complementary angles and m∠ABC=35°
Prove:m∠CBD=55°
Answer:
we know that sum of two complementary angles always equals to 90°
now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90
∠ABC = 35° given
so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°
therefore hence proved ∠CBD = 55°
[3 - (6 ÷ 3)3] x 11 + 11?
Answer:
The answer is -11(3x-1)
Step-by-step explanation:
Thats what the calculator said
Hope this helps!!!
Need help with this question! Thanks
Answer:
7 adults
Step-by-step explanation:
the equation is 152=4.8(13+x)=8(x) you get 7 for x :)
therefore, there are 7 adults in total ( and 20 children but thats not part of the question :p )
HELP PLSSSSS!!!! ASAP!!! Insert operation signs (+,-,*,/) and parentheses as needed to make the equation true.
4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
Or in other words:
4.75 _ 7.5 _ 1.16666... _ 1.33333... = 1
TY PLSS HURRY!!!!
Answer:
This cannot be explained properly by me, but the answer is 4 3/4*1 1/3 divided by (7 1/2-1 1/6). I just did a lot of trial and error
Step-by-step explanation:
The mathematical operations used [tex](4.75/7.50) * 1.17 * 1.34[/tex].
What are mathematical operations?
An operation exists as a mathematical action. Addition, subtraction, multiplication, division, and calculating the root exist all instances of a mathematical operation.
Given: 4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1 or
4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
Convert mixed fraction into a proper fraction we have
[tex](19/4) * (15/2) * (7/6) * (4/3) = 1[/tex]
Now convert the proper form of the fraction into a decimal
[tex]$4.75 * 7.50 * 1.16 * 1.34[/tex]
Inserting operation signs, then we get
[tex]= (4.75/7.50) * 1.17 * 1.34[/tex]
= 0.99294
= 1 (approximately)
Therefore, the correct answer is [tex](4.75/7.50) * 1.17 * 1.34[/tex].
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Calculus - need work shown
Easy evaluation!
[tex]5( ln( |4x - 15| ) + c[/tex]
Step-by-step explanation:
Feel free to ask if you're left with any doubts.
Answer:
[tex]\large \text{$ 5 \ln|4x-15|+C $}[/tex]
Step-by-step explanation:
[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}[/tex]
[tex]\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}[/tex]
A line passes through the two points (-4,6) and (2,-5). Calculate the following parts:
A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
The slope m of the line is given as
[tex]m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}[/tex]
The equation of a line is
[tex]( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6} (x+4)\\\\6( y -6) = (-11) (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0[/tex]
Hence, the equation is 11x +6y - 80 = 0
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What is the distance between points a(-3,2) and b(-6,-2)
Work Shown:
[tex]A = (x_1,y_1) = (-3,2) \text{ and } B = (x_2, y_2) = (-6,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-6))^2 + (2-(-2))^2}\\\\d = \sqrt{(-3+6)^2 + (2+2)^2}\\\\d = \sqrt{(3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
I used the distance formula. Alternatively, you can plot the two points and form a right triangle. Then use the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.