Answer:
It's 0Step-by-step explanation:
Why?
Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.
For example, 5.6371...... x 0 = 0
The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. Write and solve an inequality to determine the maximum number of rides you can enjoy at the Fairy Tale Spectacular?
Answer:21
Step-by-step explanation:
50-32.5=17.5
17.5/0.8=21.875
Which expressions are equivalent to -3(2w+6)-4−3(2w+6)−4minus, 3, left parenthesis, 2, w, plus, 6, right parenthesis, minus, 4 ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 6w-146w−146, w, minus, 14 (Choice B) B 2(-3w+(-11))2(−3w+(−11))2, left parenthesis, minus, 3, w, plus, left parenthesis, minus, 11, right parenthesis, right parenthesis (Choice C) C None of the above
Answer:
B. 2{-3w+(-11)}Step-by-step explanation:
Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:
Step 1: Open the parenthesis
= -3(2w+6)-4
= -3(2w)-3(6)-4
= -6w-18-4
Step 2: Simplify the resulting expression in step 1
= -6w-18-4
= -6w - 22
Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;
2{-3w+(-11)}
Hence the equivalent expression is 2{-3w+(-11)}
Answer:
a and b
Step-by-step explanation:
no.
A random number generator chooses 2 numbers between 1 and 5. This table demonstrates all possible outcomes. 1 2 3 4 5 1, 1 1, 2 1, 3 1, 4 1, 5 2 2, 1 2, 2 2, 3 2, 4 2, 5 3 3, 1 3, 2 3, 3 3, 4 3, 5 4 4, 1 4, 2 4, 3 4, 4 4, 5 5 5, 1 5, 2 5, 3 5, 4 5, 5 What is the probability that the computer will pick two 5s?
Answer as a fraction = 1/25
Answer in decimal form = 0.04
Answer in percent form = 4%
Explanation:
There are 5*5 = 25 different outcomes, of which only one outcome has 5,5. The probability of picking two 5s is 1/25 = 0.04 = 4%
Answer:
4%
Step-by-step explanation:
Please answer this question now
Answer:
Surface area of the cone = 1306.24 square centimeters
Step-by-step explanation:
Surface area of a cone is determined from the formula,
Surface area of cone = πr(r + l)
where 'r' = radius of the circular base of the cone
l = lateral height of the cone
And π = 3.14
Surface area of the cone with 'r' = 13 cm and 'l' = 19 cm
Surface area = 3.14(13)(13 + 19)
= 3.14(13)(32)
= 1306.24 square centimeters
Maria had 600 coins in her wallet, but now she has 30 left of coins. What percentage of the 600 money does he have left?
Answer:5
Step-by-step explanation:30/600×100
Answer:
5%Step-by-step explanation:
[tex]\frac{30}{600} \times 100\\\\= \frac{3000}{600}\\ \\= 5\%[/tex]
Look at this graph:
10
9
8
7
6
5
4
3
2
X
0
1
2
3
4
5
6
8
9
10
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
e to search
o
La
Answer:
3/5
Step-by-step explanation:
The rise is 3 while the run is 5, so the slope = rise over run = 3/5.
Answer:
5/6
Step-by-step explanation:
slope = change in y over change in x
How to differenciate natural,whole,integers,rational,irrational numbers and real numbers sets from -12 to 49 and draw numbers lines to represent prime numbers and divisible by 7.
Answer:
Step-by-step explanation:
Natural Numbers :
These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.
Whole Numbers:
These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.
Rational Numbers:
These are numbers that can be expressed as fractions.
Irrational numbers :
These are numbers that cannot be expressed as fractions.
Real Numbers:
These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.
Prime Numbers:
These are numbers that are divisible only by one and themselves.
From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.
Only 7 is prime.
23458+98432 find the sum
Answer:
121,890
Step-by-step explanation:
23458+98432
=121,890
The ratio of the units digit to the tens digit of a two-digit number is one-half.The tens digit is 2 more than the units digit. Find the number.
Answer:
Number : 42
Step-by-step explanation:
This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.
In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,
y = z + 2,
z / y = 1 / 2
Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.
z / z + 2 = 1 / 2 ( Cross - Multiply )
z + 2 = 2z, z = 2
And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.
If the sphere shown above has a radius of 17 units, then what is the approximate volume of the sphere?
A.
385.33 cubic units
B.
4,913 cubic units
C.
6,550.67 cubic units
D.
3,275.34 cubic units
Answer:
20582.195 unitsStep-by-step explanation:
This problem is on the mensuration of solids.
A sphere is a solid shape.
Given data
radius of sphere = 17 units
The volume of a sphere can be expressed as below
[tex]volume = \frac{4}{3}\pi r^3[/tex]
Substituting our data into the expression we have
[tex]volume = \frac{4}{3}*3.142*17^3[/tex]
[tex]volume = \frac{4}{3}*3.142*4913\\\\volume = \frac{61746.584}{3}= 20582.195[/tex]
The volume of the sphere is given as
20582.195 units
Chris had $4 in cash, with which he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. If he does not have to pay sales tax, how much change should he receive?
Answer:
£0.79 add £1.69 add £1.00 equals £ 3. 4 8
Take away £4.00 and change is 52p
Step-by-step explanation:
An equation is formed of two equal expressions. The change that Chris would receive is $0.52.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='. while an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Chris had $4 in cash. Also, he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. Therefore, the change he would receive is,
Change = Cash Chris has - Cost of coffee - Cost of chips - Cost of lottery
= $4 - $0.79 - $1.69 - $1.00
= $0.52
Hence, the change that Chris would receive is $0.52.
Learn more about Equation:
https://brainly.com/question/2263981
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What is the coefficient of the variable in the expression 2 - 5x – 4 + 8?
a
-5
b
-4
с
2
d
8
Answer:
-5
Step-by-step explanation:
The coefficient is the number attached to the variable.
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)
Answer:
(5,3) and (5,9)
Step-by-step explanation:
Let f(x)=x2+10x+37 . What is the vertex form off(x)? What is the minimum value off(x)? Enter your answers in the boxes. Vertex form: f(x)= Minimum value of f(x):
Answer:
The vertex form is f(x) = (x + 5)² + 12
The minimum value of f(x) is point (-5, 12)
Step-by-step explanation:
1) The vertex form of a quadratic equation f(x) = x² + 10·x + 37, which is the form f(x) = a·(x - h)² + k is found as follows;
For the general form of the quadratic equation, f(x) = a·x² + b·x + c
h = -b/(2·a) and k = f(h)
Therefore, for f(x) = x² + 10·x + 37,
a = 1, b = 10
∴ h = -10/2 = -5
k = f(-5) = (-5)² + 10×(-5) + 37 = 12
The vertex form is f(x) = a·(x - h)² + k gives;
f(x) = 1·(x - (-5))² + 12 = (x + 5)² + 12
The vertex form is f(x) = (x + 5)² + 12
2) The minimum value of x is found when d(f(x))/dx = 0
d(f(x))/dx = d(x² + 10·x + 37)/dx = 2·x + 10
d(f(x))/dx = 0 = 2·x + 10
x = -10/2 = -5
We check that it is the minimum by f''(x) being positive;
f''(x) = d(2·x + 10)/dx = 2 which is positive and x = -5 is the x-coordinate of the minimum value of f(x)
The x-coordinate of the minimum value of f(x) minimum value is f(-5) = (-5)² + 10×(-5) + 37 = 12
Therefore, we have;
The minimum value of f(x) = (-5, 12)
Answer:
The vertex is (-5,f(-5)=12), The minimum value of f(x) is 12.
Need help on the third question. how do i generalise the number of ways to win.(check the attatchment)
Answer:
2n+2 ways to win
Step-by-step explanation:
You generalize by observing patterns in the way you solve the smaller problems.
The number of winning moves is 2n+2: the total of the number of diagonals, columns, and rows.
For an n×n board, there are 2 full-length diagonals, n columns, and n rows, hence 2+n+n = 2n+2 ways to win.
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
(D) There are [tex]5 \frac{1}{2}[/tex] three-fourths in [tex]4 \frac{1}{8}[/tex]
Step-by-step explanation:
We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.
So this becomes the division statement:
[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].
We can convert [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.
[tex]\frac{33}{8} \div \frac{3}{4}[/tex].
Multiply by the reciprocal:
[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]
Which simplifies down to
[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.
Hope this helped!
Answer:
D
Step-by-step explanation:
A students wants to report on the number of movies her friends watch each week. The collected date are below:
0, 0, 1, 1, 2, 2, 2, 14
which measure of center is most appropriate for this situation and what's its value?
A.) Median; 1.5
B.) Median; 3
C.) Mean; 1.5
D.) Mean; 3
Answer:
A.) median; 1.5
Step-by-step explanation:
Hello!
The median is the number that is in the middle when the numbers are listed from least to greatest
0, 0, 1, 1, 2, 2, 2, 14
We can take one from both sides till there are one or two numbers left
0, 1, 1, 2, 2, 2
1, 1, 2, 2
1, 2
If there are two numbers left we add them then divide by 2 to get the median
1 + 2 = 3
3 / 2 = 1.5
The answer is A.) median; 1.5
Hope this helps!
Find the derivative of f(x) = -2x2 + 11x at x = 9.
Answer:
The value of the derivative at x = 9 is -25
Step-by-step explanation:
Here in this question, we are told to find the derivative of the given equation at the point where x = 9
What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation
In notation form, what we are to find is f’(9)
So;
f(x) = -2x^2 + 11x
f’(x) = -4x + 11
So therefore;
f’(9) = -4(9) + 11
f’(9) = -36 + 11
f’(9) = 11-36
f’(9) = -25
An online company wants to establish ratings for the products they provide. To do so, they ask visitors to their website to evaluate the products and leave a "thumbs up" or a "thumbs down." What type of sample is this? Explain why.
Answer:
This is a group specific influence sample, it only shows a demographic sample of those that are influenced by the reviews in the first place.
Step-by-step explanation:
Insert 2 rational numbers between -1/3 and -1/2
Answer:
-11/24 and -4/9
Step-by-step explanation:
A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.
Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.
Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6
Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18
The first number placed is -1/3 - 1/18 = -11/24
The second number is -11/24 - 1/18 = -4/9
PLEASE HELP Polynomial Graph Studies Polynomials are great functions to use for modeling real-world scenarios where different intervals of increase and decrease happen. But polynomial equations and graphs can be trickier to work with than other function types. In mathematical modeling, we often create an equation to summarize data and make predictions for information not shown on the original display. In this activity, you’ll create an equation to fit this graph of a polynomial function. Part A Describe the type of function shown in the graph. Part B What are the standard form and the factored form of the function? Part C What are the zeros of the function? Part D Use the zeros to find all of the linear factors of the polynomial function. Part E Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form. Part F Use the y-intercept of the graph and your equation from part E to calculate the value of a. Part G Given what you found in all of the previous parts, write the equation for the function shown in the graph.
Answer:
Here's what I get
Step-by-step explanation:
Part A
The graph shows a polynomial of odd degree. It is probably a third-degree polynomial — a cubic equation.
Part B
The standard form of a cubic equation is
y = ax³ + bx² + cx + d
The factored form of a cubic equation is
y = a(x - b₁)(x² + b₂x + b₃)
If you can factor the quadratic, the factored form becomes
y = a(x - c₁)(x - c₂)(x - c₃)
Part C
The zeros of the function are at x = -25, x = - 15, and x = 15.
Part D
The linear factors of the function are x + 25, x + 15, and x - 15.
Part E
y = a(x + 25)(x + 15)(x - 15) = a(x + 25)(x² - 225)
y = a(x³ + 25x² - 225x - 5625)
Part F
When x = 0, y = 1.
1 = a[0³ +25(0)² - 225(0) - 5625] = a(0 + 0 - 0 -5625) = -5625a
a = -1/5625
Part G
[tex]y = -\dfrac{1}{5625}( x^{3} + 25x^{2} - 225x - 5625)\\\\y = \mathbf{ -\dfrac{1}{5625} x^{3} - \dfrac{1}{225}x^{2} + \dfrac{1}{25} x + 1}[/tex]
Answer
Actually, the answer should be -0.0007(x+20)(x+5)(x-15)
Step-by-step explanation:
This is continuing off of the previous answer
PART C
The zeros should be (15,0), (-5,0), and (-20,0)
PART D
x - 15, x + 5, and x + 20
PART E
a(x - 15)(x + 5)(x + 20)
Standard: [tex]a(x^{3} + 10x^{2} -275x-1500)[/tex]
PART F
The y-intercept is at (0,1), so we replace the x's with 0:
1 =[tex][(0)x^{3} +10(0)x^{2} -275(0)-1500][/tex] and this gives us (0+0-0-1500) which also equals -1500
Then we do [tex]\frac{1}{-1500}[/tex] which gives us -0.0006 repeating which rounds to -0.0007
a= -0.0007
PART G
Just place the numbers where they should go and your answer is
y =-0.0007(x + 20)(x + 5)(x - 15)
the placement for (x + 20) (x + 5) and (x - 15) doesn't matter as long as they are behind -0.0007
The formula in cell C5 is "=SUMPRODUCT($A$1:$C$1,A2:C2)". If one copies and pastes the formula from the cell C5 into the cell C6, what numerical value will appear in the cell C6?
Answer:
See Explanation
Step-by-step explanation:
Given
Formula: =SUMPRODUCT($A$1:$C$1,A2:C2)
Required
Determine the numerical value that will appear
The question seem incomplete; however, I'll give a general explanation
FIrst, when the formula is copied from C5 to C6, A2 and C2 changes to A3 and C3 respectively.
This is because they are relative references and they behave on a relative position.
This implies that, when the formula is in cell C5, the formula considers cells A2 and C2 when executing the formula;
However, C6 will consider cells A3 and C3, respectively.
Please answer this question now
Answer:
156.6 square yards
Step-by-step explanation:
To find the surface area of the pyramid, find the area of each surface and add them together.
formula for area of a triangle = 1/2(b·h)
1. There are three triangles with a base of 9 and a height of 9
1/2(9·9) = 40.5
Multiply by the three triangles
40.5 · 3 = 121.5
2. There is one triangle with a base of 9 and a height of 7.8
1/2(9·7.8) = 35.1
3. Add the areas of all surfaces
121.5 + 35.1 = 156.6
how many are 6 raised to 2 ???
Answer:
36
Step-by-step explanation:
6^2
This is 6 multiplied by itself 2 times
6*6
36
What is the 8th term for this sequence -3, -12, -48, -192,...
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152
simplify 6(x - 4) +9
To simplify use the distributive property first. Multiply 6 by each value inside the parentheses:
6(x-4) + 9
6x -24 + 9
Now combine like terms to get the final answer:
6x - 15
how to write x divided by 16 in algebraic expression
Answer:
x/16 the line means your dividing the x by 16
Step-by-step explanation:
If f(x) = 4x + 15, then f(-3) = ?
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
The function is given :
f(x) = 4x + 15
For f(-3), the input for the function f(x) is -3.
Replace the x variable with -3.
f(-3) = 4(-3) + 15
Evaluate.
f(-3) = -12 + 15
f(-3) = 3
The output for f(-3) is 3.
Answer: f(-3) = 3
Step-by-step explanation: Notice that f is a function of x.
So we want to find f(-3).
We find f(-3) by plugging -3 in for x,
everywhere that x appears in the function.
So we have 4(-3) + 15.
4(-3) is -12 so we have -12 + 15 which is 3.
So f(-3) is 3.
how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a leg?
Answer:
By using The Pythagorean Theorem:
[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex]
/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]
Step-by-step explanation:
The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,
[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex] and hence,
/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]
For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be
[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \\\/Hypotenuse/ = \sqrt{/Length of altitude/^{2} + /Length of leg/^{2}} \\/Hypotenuse/ = \sqrt{4^{2} + 3^{2} }[/tex]
[tex]/Hypotenuse/ = \sqrt{16+9} \\/Hypotenuse/ = \sqrt{25} \\/Hypotenuse/ = 5m[/tex]
The length of the hypotenuse for the given example will be 5m.
This is how to find the length of an hypotenuse.
5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)
ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)
Answer:
i) 25130 Liters
ii) 16 cm
Step-by-step explanation:
The volume of the tank is in cubic meters, not liters. So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.
ii) Now we find the depth. 2000 is 7.959% of 25130. 7.959% of the 2 meter height is 15.917 cm. Rounded to the nearest cm, it would be 16 cm.
