Answer:
a = 15
b = 0
c = 9
Step-by-step explanation:
Given:
[tex]\displaystyle \large{15x^2+9}[/tex]
To find:
values of a, b and cQuadratic Expression:
[tex]\displaystyle \large{ax^2+bx+c}[/tex]
Compare coefficients:
[tex]\displaystyle \large{ax^2+bx+c=15x^2+0x+9}[/tex]
Therefore, compare like terms as we get:
a = 15b = 0c = 9Therefore, your answer is a = 15, b = 0, c = 9
The garden club bought 2,360 tulip bulbs. They want to split the bulbs equally into at
least 3, but less than 10, gardens with no bulbs left over. How many gardens could they
split them into without having any left over?
A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. what is the length of the rectangle? to find the length of the rectangle, use 45x2 − 42x − 48 as the and 5x − 8 as the .
If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.
Then the length of the rectangle will be
area = length × width
Then we have
Area = 45x² − 42x − 48
Then the factor of the polynomial will be
Area = (5x − 8)(3x + 2)
Then the length of the rectangle will be (3x + 2).
More about the rectangle link is given below.
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Answer:
First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!
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EDGE2022; Good Luck :3!!!
Three time stue number of blue tiles in a bag is the same as 30% of the number of blue tiles in the bag increased by 54. How many blue tiles are in the bag?
kil this monkey its gonna touch me
What is your 95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people)? Explain your reasoning by giving a roughly one-sentence justification for each important step of your reasoning.
A 95% credible interval means that you believe there is a 95% chance that thetrue value will fall within your interval. If I were 95% confident that the number of books in a library was between 100 and 500, then my 95% credible interval would be 100-500.
Astronomy is written in clear non-technical language, with the occasional touch of humor and a wide range of clarifying illustrations. It has many analogies drawn from everyday life to help non-science majors appreciate, on their own terms, what our modern exploration of the universe is revealing. The book can be used for either a one-semester or two-semester introductory course (bear in mind, you can customize your version and include only those chapters or sections you will be teaching.) It is made available free of charge in electronic form (and low cost in printed form) to students around the world. If you have ever thrown up your hands in despair over the spiraling cost of astronomy textbooks, you owe your students a good look at this one.
Astronomy has information and images from the New Horizons exploration of Pluto, the discovery of gravitational waves, the Rosetta Mission to Comet C-G, and many other recent projects in astronomy. The discussion of exoplanets has been updated with recent information—indicating not just individual examples, but trends in what sorts of planets seem to be most common. Black holes receive their own chapter, and the role of supermassive black holes in active galaxies and galaxy evolution is clearly explained. Chapters have been reviewed by subject-matter experts for accuracy and currency.
The required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.
Given that,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people) is to be explained.
Statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people), by going through certain iterations for the 95% credible interval for the number of people alive in the year 3000 CE will give the required interval.
Thus, the required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.
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If f(x) = 4x - 8 and g(x)=x²-5, what is
(f+g)(x)?
Add f and g together by combing like terms
answer: x^2 + 4x -13
Answer:
[tex](f+g)(x)=x^2+4x-13[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=4x-8[/tex]
[tex]g(x)=x^2-5[/tex]
Composite function:
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (4x-8)+(x^2-5)\\ & =4x-8+x^2-5\\ & =x^2+4x-8-5\\ & = x^2+4x-13 \end{aligned}[/tex]
The end points of the diameter of a circle are (6, 0) and (-6, 0). What is the equation of this circle?
Circular equations are organized like this:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radiusSolving the QuestionWe're given:
(6, 0) and (-6, 0) are the endpoints of the diameter of a circleTo find the equation of this circle, we must determine two things:
The center of the circleThe radiusTo determine the radius of the circle, find the distance between the given endpoints and divide by 2:
(6, 0) and (-6, 0)
⇒ There are 6 units between (0,0) and (6,0).
⇒ There are 6 units between (0,0) and (-6,0).
⇒ 6 + 6 = 12; the diameter of the circle is 12 units
⇒ 12 / 2 = 6
Therefore, the radius of the circle is 6 units.
To determine the center of the circle, find the midpoint of the given endpoints:
(6, 0) and (-6, 0)
⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).
⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).
Therefore, the center of the circle is (0,0).
Plug the center and the radius into the equation:
[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]
Answer[tex]x^2+y^2=36[/tex]
pls help me with this
Answer: A:2 R8
This image should help, but first, you should find the biggest number that 27 can be multiplied by, but stay under 62, which in this case is 2, because 27*3=81 and 2 is the maximum it can be while staying below 62. which makes the equation turn into 62-54=8, making the remainder 8.
Step-by-step explanation: hope this helps
what is 128 : 144 in the form of n:1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 128 and 144 is 16Divide both the numerator and denominator by the GCD
128 ÷ 16144 ÷ 16Reduced fraction: 89
Therefore, 128/144 simplified to lowest terms is 8/9.
What is the empirical rule????
Answer:
The empirical rule, also known as the 68 - 95 - 99.7 rule, is a statistical rule that states that in regular distribution, virutally every piece of data will fall within three standard deviations. More specifically, 68% of the data will be within one standard deviation of the mean, 95% will lie in two standard deviations, and 99.7% will be within three standard deviations.
Step-by-step explanation:
Explanation above.
hope this helps :)
Answer:
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
Step-by-step explanation:
Help?? I could really use it
Answer:
16.5 m
Step-by-step explanation:
The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.
a² + b² = c²
a² + 32² = 36²
a² + 1024 = 1296
a² = 272
a = √272
a = 16.5
Answer: 16.5 m
find the roots of the following quadratic equtions by factorisation ;
[tex] { x}^{2} - 3x - 10 = 0[/tex]
Answer:
[tex] {x}^{2} - 3x - 10 = 0 \\ (x - 5)(x + 2) = 0 \\ \\ x - 5 = 0 \: - > x = 5 \\ \\ x + 2 = 0 \: - > x = - 2[/tex]
Find the area of each part of the trapezoid.
Then find the total area of the trapezoid.
Area of triangle A: __ cm ^2 (exponent)
Area of rectangle: __ cm ^2
Area of triangle B: __ cm^2
Area of trapeziod: __ cm^2
PLEASE ANSWER FAST.
Answer:
Area of Triangle A = 4 cm²
Area of Rectangle = 24 cm²
Area of Triangle B = 4 cm²
Area of Trapezoid = 32 cm²
Step-by-step explanation:
The formula to find the area of a triangle is: [tex]\frac{h_bb}{2}[/tex]
The base (b) is 2 and the height (h) is 4.
Now multiply,
2 times 4 = 8
Then divide,
[tex]\frac{8}{2}[/tex] which equals 4.
So the area of Triangle A and B is 4 cm² because they are the same triangles.
The formula to find the area of a rectangle is: a times b.
a=6 and b=4
Multiply,
6 times 4 = 24
So the area of the rectangle is 24 cm²
The formula to find the area of a trapezoid is: [tex]\frac{a+b}{2}h[/tex]
A=6
B=10
H=4
So now,
[tex]\frac{6+10}{2}4[/tex]
6+10=16
16 divided by 2 is 8.
Last multiply,
8 times 4 is 32.
The area of the trapezoid is 32 cm²
Hope this helped! And have a great day!
a paper has an area of 84 square inches.what is the paper’s area in square centimeters
Answer:
546
Step-by-step explanation:
Each square inch is equal to 6.5 square centimeters so you can multiply
84 × 6.5 = 546So, the area is 546 square centimeters.
Hope this helps =>
Answer:
[tex]541.93\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area in square centimeters
[tex]84\ in^2 * \frac{(2.54\ cm)^2}{in^2}[/tex]
[tex]84\ in^2 * \frac{(2.54)^2 * (cm)^2}{in^2}[/tex]
[tex]84\ in^2 * \frac{6.4516\ cm^2}{in^2}[/tex]
[tex]541.9344\ cm^2[/tex]
Answer: [tex]541.93\ cm^2[/tex]
a triangular prism is covered with a foil label the label does not cover the two ends how much foil is necessary to cover the prism?
Step-by-step explanation:
13(16.5)+12(16.5)+5(16.5)
16.5(13+12+5) = 30(16.5) = 495 ft²
help me please, i will give brainliest if correct answer:
Dilate a triangle with vertices (0, 0), (0, 2), and (2,0) using the scale factor k = 3. What is the value of the ratio (new to original) of the perimeters? the areas?
The ratio of the perimeters is ____
The ratio of the areas is ____
Answer:
The ratio of the perimeters is 3
The ratio of the areas is 9
Step-by-step explanation:
Given:
Dilate a triangle with vertices (0, 0), (0, 2), and (2,0) using the scale factor k = 3.
To Find:
What is the value of the ratio (new to original) of the perimeters? the areas?
Solution:
What is the value of the ratio (new to original) of the perimeters?
Since, two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let the following be:
k ⇒ the scale factor
x ⇒ the perimeter of the new triangle
y ⇒ the perimeter of the original triangle
Knowing that:
k = x/y
Thus:
k = 3
Now Substitute:
x/y = 3
-------------------------------------------------------------------------------------------------------------
What is the value of the ratio (new to original) of the areas?
Since, two figures are similar, then the ratio of its areas is equal to the scale factor squared.
k ⇒ the scale factor
x ⇒ the area of the new triangle
y ⇒ the area of the original triangle
k ² = x/y
Since,
z = 3
Then,
x/y = 3 ²
3 ² means to 3 × 3
x/y = 9
-------------------------------------------------------------------------------------------------------------
Kavinsky
Eric wants to create a scale drawing of a house. The scale drawing needs to fit on a piece of paper that is 6 inches wide. The drawing itself must be ate least 3 inches wide. A. Drag numbers into the box to show an appropriate scale for the drawing. B. Use the Connect Line tool to create a drawing based on the scale you chose in Part A
To build a scale model we must take into account the original measurements of the original house.
What is a scale model?A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.
How to build a scale model?To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.
For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.
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Find the distance between the two points. (1,1) ✓ [?] Enter the number that goes beneath the radical symbol. (3,-4)
The distance between the two points (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).
How to measure distance between two points?To measure the distance between two points of a coordinate system, the formula can be given as,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (x₁, y₁) are the coordinates of point 1 and (x₂, y₂) are the coordinates of point 2.
The distance between the two points. (1,1), (3,-4) has to be find out. Use the distance formula to find the distance between them,
[tex]D=\sqrt{(1-3)^2+(1-(-4))^2}\\D=\sqrt{(-2)^2+(5)^2}\\D=\sqrt{4+25}\\D=\sqrt{29}[/tex]
Thus, the distance between the two points (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).
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The product of two numbers is 66. Their sum is 17. What are the two numbers?
Answer:
Then the two numbers are -11 and -6.
Answer:
11 and 6
Step-by-step explanation:
x+ y = 17 or y = 17-x
and
xy = 66 sub in y = 17-x
x ( 17-x) = 66
-x^2 + 17x - 66 = 0 either factor this, or use quadratic formula to find
x = 6 y = 11
How many millions are in the number 15,765,132?
A.30
B.15
C.1
D.5
Answer:
B. 15
Step-by-step explanation:
The 5 is in the millions place. The 1 at left is in the 10 millions place.
That means 15 million.
Answer: B. 15
Answer:
Option B. 15
Step-by-step explanation:
To write it in words we have.
write in words: fifteen million, seven hundred and sixty-five thousand, one hundred and thirty-two
In Expanded Form:
15,765,132 =
10,000,000
+ 5,000,000
+ 700,000
+ 60,000
+ 5,000
+ 100
+ 30
+ 2
= 15,765,132
There you go the answer is Option B. 15
Hope this Helps! :3
Have a great day! :3
Can you please help me and show me how to find the anwser and can you guys give me the anwsers
Answer: A
Step-by-step explanation: Exact on the number line
Answer: A
Step-by-step explanation: The answer is A you have to look at the easy numbers first like -4 and 1/2 try to find them on the line, a whole number will be one of the big lines,1/2 will be right in the between two whole numbers, 3/4 will me the little line right before a number and so on. You can use process of
elimination to make it easier.
Hey guys! I need help ASAP! 5th grade math offering 15 points. I believe in u!
Answer:
Each person will recieve between 3 and 4 liters
Step-by-step explanation:
Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.
27/8 = 3.375
3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade
Fining the Unit Rate.
Answer:
See below ~
Step-by-step explanation:
Option A
Unit Rate = $2.49 / 24Unit Rate = $1.04 per bottleOption B
Unit rate = $6.00 / 48Unit rate = $0.13 per bottleOption C
Unit rate = $1.86 / 12Unit rate = $0.16 per bottleOption C has the lowest rate, hence it is the best deal.
How do i do this? i'm really confused
Answer:
Step-by-step explanation:
I did two of them for you
Use distributive on the right side and you will find the correct answer
The screen shot should help you.
A standard number cube is rolled 30 times. Based on theoretical probability, how many of the 30 rolls are likely to be even numbers.
A. 13 B. 15 C. 17 D. 19 E. 21
Nine more than three times a number.
What is the value of x if 2 over 2x plus 1 over 2x is 1 over 2
Answer:
3/4 = x
Step-by-step explanation:
2/2x + 1 = 1/2
2/2x + 1 * 1/2x = 1/2 * 1/2x
2 + 1 = 1/4x
3 = 4x
3/4 = 4x/4
3/4 = x
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Answer:
1/5
Step-by-step explanation:
Total Frequency is 14+21+70 = 105
Sewing has frequency of 21
21/105 = 0.2 = 1/5
Find the volume of the pyramid. Assume the base is a rectangle.
Work Shown:
A = area of the base
A = length*width
A = 9*10.1
A = 90.9
V = volume of the pyramid
V = (1/3)*(Area of the base)*(height)
V = (1/3)*(90.9)*(6)
V = 181.8
The units for the volume are in cubic inches. The result is exact.
You are putting 30 different bolts into bins according to the size of the bolt. So far, you have successfully put 10 bolts into bins, which is 13 1 3 of the total job. What is your answer when your supervisor asks, “Within 1%, what percent of the job is complete?”
i need help im on diagnostic!!!
Answer:
y=4z-3
Step-by-step explanation: