Answer:
c: a mathematical statement taken as fact diagram
Step-by-step explanation:
a mathematical statement taken as fact
diagram
This can mean what we mean when 'we say what the word means when compared to what it means when we are to use reason meaning the same word as reasoning it shows us the fatcs in an efficient way'
Postulate means reasoning in mathematics.
Postulate → Option 3
Theorem → Option 2
Definition → Option 4
Diagram → Option 1
How to arrange the blocks ?Postulate : Postulate is a mathematical statement that is taken to be true without any proof, i.e. "A mathematical statement taken as fact".
Theorem : Theorem is a statement that can be proved using some logical arguments, facts and definitions, i.e. "A mathematical statement proven using postulates and definitions".
Definition : Definition is used to describe the meaning of something, i.e. "A formal statement declaring the meaning of a word".
Diagram : Diagram is a figure which consists of various structures as per our need, i.e. "A visual tool representing mathematical ideas to be interpreted".
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the lunch lady has 5 pounds of lasagna. If she makes 1/4-pound servings using this amount of lasagna, how many servings can she make?
Answer:
20 servings
Step-by-step explanation:
Four quarters per pound
5(4)=20
Answer:
she can make 20 servings
Step-by-step explanation:
f(x)=x^2 what is g(x)
Answer: A. g(x) = -x^2-4
Step-by-step explanation:
y-intercept is -4
You can determine if the slope of the graph is negative or positive based on if it is going up or down
example: x^2 going up, -x^2 going down.
Answer:
A
Step-by-step explanation:
Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals
Answer:
x = 3 and x = 3
Step-by-step explanation:
The given equation is
2x² - 12x + 18 = 0
Divide both sides by 2:
x² - 6x + 9 = 0
We need two numbers that will add up to -6 and their product is 9.
The two numbers are -3 and -3.
=> x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3)(x - 3) = 0
x = 3 and x = 3
what's the y intercept and the x intercept?
Answer:
y-intercept is at (0, 0.4)
x-intercept is at (0.3,0)
Step-by-step explanation:
y-intercept is where the line intercepts the y axis and x-intercept is where the line intercepts the x axis.
Which of the following exponential functions represents the graph below?
Answer:
the graph corresponds to function "D" [tex]f(x)=3\,(\frac{1}{5} )^x[/tex]
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
[tex]f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5[/tex]
while function D at x = 0 gives:
[tex]f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3[/tex]
Therefore, the graph corresponds to function "D"
A correct option is an option (d)
From the given graph the function is increasing, therefore the base of the exponent must be greater than 1
And the best suited is the first, as it passes through the point,
y = 3
If you substitute x = 0 in the function result you have to give,
y = 3 and intersect the y-axis at that point
So, the required function is [tex]f(x)=3\times (\frac{1}{5} )^x[/tex]
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Someone please help me with this question??
Examine the following table that represents some points on a line.
Which equations in point-slope form represents this line?
y + 10 = 2(x + 6)
y + 9 = 1/2(x + 4)
y + 10 = 1/2(x + 6)
y + 4 = 1/2(x — 6)
y + 4 = 2 (x — 6)
y — 9 = 2(x — 4)
Answer:
Option (2), (3) and (4)
Step-by-step explanation:
Let the equation of the line representing the given table is,
y - y' = m(x - x')
where 'm' = slope of the line
(x', y') is the point lying on the line.
Let the two points (-6, -10) and (-4, -9) lie on the line
Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{-9+10}{-4+6}[/tex]
= [tex]\frac{1}{2}[/tex]
Equation of the line passing through (-4, -9) with slope [tex]\frac{1}{2}[/tex] will be
y - (-9) = [tex]\frac{1}{2}(x+4)[/tex]
y + 9 = [tex]\frac{1}{2}(x+4)[/tex]
Equation of the line passing through (-6, -10) with slope = [tex]\frac{1}{2}[/tex]
y - (-10) = [tex]\frac{1}{2}(x+6)[/tex]
y + 10 = [tex]\frac{1}{2}(x+6)[/tex]
Equation of the line passing through (6, -4) and slope = [tex]\frac{1}{2}[/tex]
y + 4 = [tex]\frac{1}{2}(x-6)[/tex]
Therefore, Options (2), (3) and (4) will be the answer.
What is the ratio for the fraction: 16/25? Is it 16:25?
Not too sure if that’s the right answer.
Answer:
16 to 25 or 16/25 or 16:25
Step-by-step explanation:
What is the true solution to the equation below?
In elnx+In einx? - 2 in 8
X= 2
X=4
X=8
X = 64
Answer:
X=4
Step-by-step explanation:
Hope this helps!
Have an awesome week!
The solution is, the true solution to the equation below is x=4.
What is quotient and product rule of logarithm?Logarithm, the exponent or power to which a base must be raised to yield a given number. The quotient rule says that, the logarithm of a quotient is equal to a difference & the product rule says that logarithm of product is equal to the sum of logarithm.
Formula to be used,
log〖(ab)=loga+logb 〗
〖log(〗〖a/b)=loga-logb 〗
here, we have,
the given equation is,
㏑[tex]e^{ln( x)}[/tex] + ㏑[tex]e^{ln (x^{2}) }[/tex] = 2㏑8
or, ㏑x * ㏑ e + ㏑x² * ㏑e = 2㏑ 8
or, ㏑x + ㏑x² = 2㏑ 8
or, ㏑( x*x²) = ㏑ 8²
or, ㏑x³ = ㏑ 64
now, taking out the nature logarithm from both sides, we get,
x³ = 64
or, x = 4
Hence, The solution is, the true solution to the equation below is x=4.
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Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.
The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.
List the classes from least to greatest.
Answer:
308, 398, 421, 433, 570
Step-by-step explanation:
To start we know the smallest is 308 cans, so that is the first class.
Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.
Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.
After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.
Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.
Least to greatest:
308
398
421
433
570
Can someone help me with this quick ??
A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep. What is the approximate number of cubic feet of potting soil that he will need to fill the planter?
2.79 ft3
6.28 ft3
16.75 ft3
401.92 ft3
He will require 2.79 cubic feet of potting soil to fill the planter, which is a rough estimate.
What is the Volume of the Cylinder?The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to πr²h cubic units.
Given, A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep.
From the general formula of volume of cylinder = πr²h cubic units
in our case
r = 16 / 2 = 8 inches
Since 1 feet = 12 inches
r = = 8/12 feet = 2/3 feet
h = 2 feet
The volume of platter = π * 2/3 * 2/3 *2
The volume of the platter = 2.79 ft³
Therefore, the approximate number of cubic feet of potting soil that he will need to fill the planter is 2.79 ft³.
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What scenario could be modeled by the graph below?
Step-by-step explanation:
f(x) = ax + b
a = -2/3
b = 6
f(x) = -2/3x + 6
Fx x
F(x) = -4/3x² + 6x
F(9) - F(0)
The area of the yellow part is 0.5 * 9 * 6 = 27
Find the distance between the points (0, –3) and (4, 0). answers :A) 1 B) 25 C) 5 D) 7
Answer:The answer is C)5 if you need help understanding how I got this answer let me know and I'll gladly explain!
Answer: C) 5
Step-by-step explanation: Use distance formula: [tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^2 }[/tex]
Plug in respected values [tex](0,-3) = (x_{1},y_{1})[/tex] and [tex](4,0) = (x_{2},y_{2})[/tex]
Then Solve
which linear inequality is represented by the graph?
Answer:
B. y ≥ 1/3 x - 1
Step-by-step explanation:
y = mx + b
b = - 1,
m = rise/ run = 1/3
y = 1/3 x - 1 is equation of the line.
Shading is over the line, so
y ≥ 1/3 x - 1
Find the slope of the line that contains the points named.
G(3, -2), H(7, -2)
undefined
0
-1
Answer:
We are given:
Putting values in above equation, we get:
Hence, the slope of the line is coming out to be 0.
Step-by-step explanation:
The slope of the line that contains the points (3, -2) and (7, -2) is 0.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Points:
(3, -2) and (7, -2)
Slope.
= (-2 - (-2)) / (7 - 3)
= (-2 + 2) / 4
= 0/4
= 0
Thus,
The slope is 0.
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A wooden toy kit has different painted solids. One solid is a cylinder with a diameter of 2cm and a height of 14cm.
Q.What is the surface area of the cylinder? (Answer is 96cm^2, I know how to get it)
Q.One can of paint covers 40m^2. How many cylinders can be painted with one coat of paint? (Answer is about 4244, but the question is how do you get it?)
Answer:
Surface are = 94.24 cm2
Cylinders =4,244
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a cylinder = 2π (diameter/2) h + 2π (diameter /2)²
Replacing with the values given
s = 2π (2/2) 14 + 2π (2/2)²
s = 87.96+ 6.28 =94.24 cm2
Since:
1 m2 = 10,000 cm2
40 m2 = 400,000 cm2 (area that one can of paint covers)
We have to divide the area that one can of paint covers by the surface area of each cylinder:
400,000/94.24 = 4244 cylinders
Which graph represents 2x - 3y less than or equal to 9?
Answer:
answer is c
Step-by-step explanation:
1. Two people share £350 in the ratio 1:6.
Calculate each share.
£..........£
______________________________
Let the shares be X and 6x
X+6x=350
or,7x=350
or,X=350/7
X=50
Replacing value,
6x=6*50=300
So one person gets $ 50
Another person gets$300
Hope it helps
Good luck on your assignment
___________________________
Answer:
1/7 x 350 = £ 50
6/7 x 350 = £ 300
34 + 2 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1: i will give brainliest plese
Answer:
44
Step-by-step explanation:
The answer is 44 because of order of operations we do multiplication fist so it would be
2 * 5 = 10
34 + 10
44
Answer:
44
Step-by-step explanation:
the first step is to multiply (which is what the ⋅ is) and I get 10. After I multiply I add 34 which is 10 + 34 = 44 and that is the answer.
The ratio of angle measures is 1:2:2. Classify the triangle by its angle measures. obtuse triangle right triangle equiangular triangle acute triangle
Answer:
Acute Triangle
Step-by-step explanation:
Angles in a triangle add up to 180 degrees.
So,
x+2x+2x = 180
=> 5x = 180
Dividing both sides by 5
=> x = 36
So, The lengths are:
=> 36
=> 72
=> 72
Since all the angles are less than 90 degrees, It is an acute triangle.
Answer: Acute Triangle hope this helps
answer please brainliest
Answer:
45
Step-by-step explanation:
45% = 0.45
45/100 = 0.45
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]45\% \\ = \frac{45}{100} \\ = 0.45[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Match the rate - - .5 -- with corresponding time of year.
Three Months, 1/4 =
Six Months, 6/12 =
Nine Months, 9/12 =
1 Month, 1/12 =
Answer: B. Six Months, 6/12 = 6÷12 =0.5
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
Correct option is
B. Six Months, 6/12 = 6÷12 =0.5
Feel free to ask for more if needed or if you did not understand something.
which of the following equations is modeled by the graph.
a=5t
a=50t
a=50 + t
a=10t
Answer:
a = 50t
Step-by-step explanation:
The graph goes through (0,0) so the y intercept is 0
a=5t
a=50t
a=50 + t not it
a=10t
The slope is y/x since the y intercept is 0
m = 50/1 = 50
The equation for the line is
y = 50x+0
y = 50x
Using the variables given
a = 50t
plz help me I need help I will give u 100 points and mark u as brainiest if u can plz answer this QUESTION Which phrase best defines a trapezoid? a quadrilateral with no congruent sides a parallelogram with four congruent angles a quadrilateral with exactly one pair of parallel sides a parallelogram with four congruent sides
A quadrilateral with one pair of parallel sides.
Answer:
Two triangle with a square
Step-by-step explanation:
which choices are equivalent to the expression below? Check all that apply.
3√6
Answer:
[tex] \sqrt 54[/tex]
[tex] \sqrt 9.\sqrt 6[/tex]
[tex] \sqrt {27}.\sqrt 2 [/tex]
Step-by-step explanation:
[tex]3 \sqrt{6} = \sqrt{ {3}^{2} \times 6 } = \sqrt{9 \times 6} = \sqrt{54} \\ [/tex]
Also,
[tex] \sqrt 9.\sqrt 6[/tex]
&
[tex] \sqrt {27}.\sqrt 2 [/tex]
The right options are option B,D and F
Look at the attached picture
Hope it will help you
Good luck on your assignment
Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses One-fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?
Answer:
60 - 1/4x = 24
Step-by-step explanation:
Malik had two tests on Wednesday. On the science test, each question was worth 4 points. On the math test, each question was worth 6 points. His score was -12 on each. On which test did he miss more item? Justify your answer.
Answer:
Science Test
Step-by-step explanation:
If he missed 12 points on each test (-12) he missed 2 questions on the math test and 4 questions on the sceince test.
I NEED HELP QUICK!!
6 in group A saw results, 7 in group B saw results, 5 in group C saw results, 4 in group D saw results.
Part 1:
Create a two-way table for the data and find the probabilities for each group. Describe results in terms of the study.
Part 2:
What is the probability that a person saw results, given the received the power pill? What is the probability that a person saw results, given they received a placebo? Explain in terms of study.
Part 3:
What is the probability that a person received the placebo, given they did not see results? What is the probability that a person received the power pill, given that they did not see results? Explain in terms of the study.
Answer:
1) Each group is composed of 10 people. They either saw results or don't saw results.
saw results no results Total
A 6 4 10
B 7 3 10
C 5 5 10
D 4 6 10
Total 22 18 40
Probability of a group seeing results:
Group A: 6/10 = 0.6
Group B: 7/10 = 0.7
Group C: 5/10 = 0.5
Group D: 4/10 = 0.4
Probability of a group not seeing results:
Group A: 4/10 = 0.4
Group B: 3/10 = 0.3
Group C: 5/10 = 0.5
Group D: 6/10 = 0.6
2) Groups A and B received the Power Pill.
What is the probability that a person saw results, given they received the power pill?
(6+7)/20 = 0.65
Groups C and D received the placebo.
What is the probability that a person saw results, given they received a placebo?
(5+4)/20 = 0.45
3) What is the probability that a person received the placebo, given they did not see results?
(5+6)/18 = 0.61
What is the probability that a person received the power pill, given that they did not see results?
(3+4)/18 = 0.39
Answer:
Results
No Results
Totals
Group A
6
4
10
Group B
7
3
10
Group C
5
5
10
Group D
4
6
10
Totals
22
18
40
Using the data above, please calculate each probability:
The probability for Group A to see results ___15%___.
The probability for Group A to see no result___10%____.
The probability for Group B to see results __17.5%____.
The probability for Group B to see no result___7.5%____.
The probability for Group C to see results ___12.5%___.
The probability for Group C to see no result___12.5%____.
The probability for Group D to see results ___10%___.
The probability for Group D to see no result___15%____.
TASK 2 Part 2
What is the probability that a person saw results given they received the power pill? __65%____
What is the probability that a person saw results given they received the placebo? ___45%___
Show your work and explain in terms of the study using the data from Part 1
The probability that a person saw results and a power pill is 65%. The probability that the person was given the placebo and saw results is 45%. 65% of the people that were given the pill saw results, and 45% did not.
TASK 2 Part 3
What is the probability that a person received the placebo given that they did not see results?
61.111111%
What is the probability that a person received the power pill given that they did not see results?
38.88888%
Show your work and explain in terms of the study using the data from Part 1
PB- (5+6)/18 = 0.61 x 100
PP- (3+4)/18 = 0.38 x 100
Step-by-step explanation:
Which is the graph of y = [x] - 2?
5
2
Answer:
2
Step-by-step explanation:
slope=1
intercept=2
Anna baked 3 batches of cookies with cookies in each bath she then ate 8 cookies How many cookies does Anna have left? Write your answer as an expression.
Answer: C= 3x -8
C is the amount of cookies left. X is he number in each batch.
Step-by-step explanation:
If she made the cookies in the bath, they could be very soggy and difficult to count!