Marko is thinking of a number. The cube of the number is -27.
Write an equation that models the riddle using x for the number.
Answer:
x = [tex]\sqrt[3]{-27}[/tex]
x = -3
Step-by-step explanation:
The way to find the cube of a number is to cube root the number. Square roots find the roots of square numbers, cube roots find the roots of cubed numbers.
[tex]\sqrt[3]{x}[/tex]If it takes 11.75 gallons of gas to refuel the car tim rented, how much extra should he expect to pay because he forgot to get gas? a. $26.44 b. $31.44 c. $52.88 d. $57.88
The extra amount that Tim is expected to pay is approximately given by: Option D: $57.88
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, the question is missing the fact that the size of the tank is 11.75 gallon and a gallon of gas costs $4.50.
So, the total cost of 11.75 gallon of gas is:
Cost of 11.75 gallon gas = 11.75 * 4.50 = 52.875 (in dollars)
Also from the question, the cost of refueling a vehicle is $5.00.
So, the total cost for refueling the car of Tim is:
Total cost = cost of gas + cost of refueling the car
Total cost = 52.875 + 5.00
Total cost = $57.875 ≈ $57.88
Thus, the extra amount that Tim is expected to pay is approximately given by: Option D; $57.88
Learn more about forming equations here:
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could someone please help DRAW this math problem for me?? i need help!
Answer:
Steps of construction.
(i) Draw a line segment AB = 3 cm.
(ii) Draw ∠ABX = 90º
(iii) Taking centre B and radius 4 cm draw an arc which intersect the BX at the point C.
(iv) Taking centre C and radius 3 cm draw an arc and taking centre A and radius 4 cm draw a another arc which.
I need help with #12 MULTIPLE CHOICE
Answer:
[tex]\huge\boxed{B)\ m=\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-1, 3) and (3, 5).
Substitute:
[tex]m=\dfrac{5-3}{3-(-1)}=\dfrac{2}{3+1}=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}[/tex]
-6 + x = -2
Thank you
Answer:
4 because I know it's right
PLS HELP ILL GIVE BRAINLIEST NEED ASAP !Which point lies on the graph of f(x)=3^x−5?
Question 1 options:
(3, 22)
(10, 25)
(0, -2)
(8, 19)
question 2 Which scenario can be represented by an exponential model?
Question 2 options:
Jack adds $3 to his piggy bank every week.
The height of a ball is tracked after it is thrown into the air.
The medication in an adult male reduces by half per hour.
Maggie earns $17.25 per hour.
The point (3,22) lies on the graph of f(x) = 3ˣ - 5. The medication in an adult male reduces by half per hour can represent an exponential function.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Given the function:
f(x) = 3ˣ - 5
At point (3, 22):
f(3) = 3³ - 5 = 22
The point (3,22) lies on the graph of f(x) = 3ˣ - 5.
The medication in an adult male reduces by half per hour can represent an exponential function.
Both tables represent an exponential function.
Find out more on exponential function at: https://brainly.com/question/12940982
Which function is graphed below? On a coordinate plane, a curve goes has a maximum point at 1 and a minimum point at negative 1. It crosses the y-axis at (0, 1) and increases through the y-axis. f(x) = cos(x) f(x) = –cos(x) f(x) = sin(x) f(x) = –sin(x)
Answer:
A. f(x) = cos(x)Step-by-step explanation:
This is option A because the cos(x) has a y-intercept of (0, 1) only.
See attached to compare with other options.
Answer: A
Step-by-step explanation:
Edge 2025
Can some Please help me with this please please :(((( (The Image is In The Question)
When Hana goes to the mall, she always buys the same lunch and also buys some
books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
SELECT GROUP OF ANSWER CHOICES
A. The y-intercept approximates the average cost of one book.
B. The y-intercept approximates the cost of Hana's lunch.
C. The slope approximates the cost of Hana's lunch.
D. The trend line goes through the origin.
E. The slope approximates the average cost of one book.
Answer:
Lets see...The y-intercept approximates the average cost of one book. And The trend line goes through the origin.
Step-by-step explanation:
PLEASE HELP I NEED THIS ASAP.
Answer:
Smart me thinks it is 22
Step-by-step explanation:
Evaluate 15/k when k = 3
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
15/k
15/3
5
HURYYY BRAINLIEST
The ordered pairs in each table lie on the graphs of four different functions. Which of these sets of ordered pairs lies on the graph of a linear function?
Linear functions are characterized by a constant ratio of y:x or 'the slope' of the line
By finding the ratio=y/x of every point in these tables, you'll find that function A is characterized by a constant ratio where,
[tex]m = \frac{7}{2} [/tex]
Answer:
C.)
Step-by-step explanation:
Edge, 2022!
Hope this helped!
What is the value of x in the figure?
Enter your answer in the box.
Answer: 34 degrees
Step-by-step explanation:
Since the sum of the measure of x and 56 = 90 because a right angle is 90 degrees, we can solve for x.
x + 56 = 90
x = 34
Answer:
34º
Step-by-step explanation:
the box in the graph means a 90º angle. if 56 and x make up 90º, its a simple subtraction problem. 90º-56º=34º.
answer for moneyyy. :) :)
Answer:
30
Step-by-step explanation:
The equation for this is a²+b²=c². We just need to plug 12(a) and 5(b). 12²+5²=169
the square root is 13. so the equation is 13+12+5=30
Find the value of:
Answer:2
Explanation is needed!!
Answer:
2
Step-by-step explanation:
look above
hope it helps:)
Answer:
The final answer would be 2.
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-24,15), endpoint (- 15,13) The other endpoint is (Type an ordered pair.)
Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) is
[tex](x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴ [tex]x_{1}[/tex] = -15 and [tex]x_{2}[/tex] = x
∴ [tex]y_{1}[/tex] = 13 and [tex]y_{2}[/tex] = y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴ [tex]x_{M}[/tex] = -24 and [tex]y_{M}[/tex] = 15
→ Use the rule of the mid-point to find x and y
∵ [tex]-24=\frac{-15+x}{2}[/tex]
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ [tex]15=\frac{13+y}{2}[/tex]
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Can you please help me!! I will give you brainly!
Answer:
Skewed
Step-by-step explanation:
Which graph represents the inequality, StartFraction (x minus 2) squared Over 25 EndFraction minus StartFraction (y minus 1) squared Over 9 EndFraction less-than 1?.
Inequalities help us to compare two unequal expressions, while a graph is a visual representation of points, lines, line segments, curves, or regions.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
What is a graph?A graph is a visual (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the fluctuation of one or more variables in contrast to another.
The graph of the inequality can be written in the following manner as shown below.
Learn more about Inequality:
https://brainly.com/question/19491153
Answer:
c
Step-by-step explanation:
got it right on edge
How do you find the quotient of positive and negative decimals.
Answer:
Ok, so we know that you can't simply divide a decimal as it is (if you're using long division)
For example, let's take the quotient of 2.2 and -22
22÷ -2.2
so to get it into a whole number, multiply each value by 10 to get rid of decimal point
220 ÷ -22
when you divide, you are left with negative ten. Remember when you divide a negative and a positive number together, the result will always be negative
hope you understand now ;-)
A movie theater sells popcorn in bags of different sizes. the table shows the volume of popcorn and the price of the bag. now write an equation relating the volume of popcorn,x, in ounces to the price, y in dollars
please hurry if you are gonna answer this answer it correct dont attach a virus please
Answer:Function modelling - It is based on the variables like Quadratic expression, rational numbers as the setting of function depends the function modelling performs .Thus the option to the above ques is 16$
Step-by-step explanation: hope this helps!!! :)
A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone. (i) What is the probability that exactly five of them did not see a doctor? (4 marks) (ii) What is the probability that fewer than four of them did not see a doctor? (5 marks) (iii) What is the expected number of people who would not see a doctor? (5 marks)
Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)[/tex]
(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),
[tex]P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}[/tex]
[tex]=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}[/tex]
=0.15708
(ii) The probability that fewer than four of them did not see a doctor
[tex]=P(r<4)[/tex]
[tex]=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
[tex]=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}[/tex]
[tex]=0.017951+0.072527+0.146154+0.195856[/tex]
[tex]=0.432488[/tex]
(iii) The expected number of people who would not see a doctor
[tex]=np[/tex]
[tex]=300\times 0.01[/tex]
=3
Which of the following best represents the average rate at which a person can quickly walk?
O a
3 steps per hour
Ob
3 steps per second
Ос
30 steps per minute
Od
30 steps per second
The product of ( V64) (8) can be expressed as 2ºn. Find n hurry 100 points!
Answer:
divied 64 by 8 u will get 8-2=6
Step-by-step explanation:
Consider the expressions (5.9 x 106) and (3.2 x 104)
Part A. Find the difference of the expressions (this means to subtract them!)
Part B. Find the product of the expressions (this means to multiply them!)
Answer:
I think u should check the question ones again
Step-by-step explanation:
but still this is ypur ans
hope it help
mark as brainliest
Please help I’m not good at math
Answer:
1. x= (500-5y)/3
2. writing the equation this way shows how much money raised per child ticker
Step-by-step explanation:
A bag has 4 red marbles, 4 blue marbles,
and 2 green marbles. Jessie draws a
.
marble from the bag at random, notes the
color, and then replaces the marble. She
then draws a second marble at random.
What is the probability that both the
marbles are green?
A.) 1/45
B.) 1/25
C.) 1/5
D.) 2/5
Answer:
Your answer would be:
C.) 1/5
Since there are 10 marbles in total that mean the answer would be equal to a value with a denominator of 10.
Since 2 out of 10 are green that means there is a 2/10 probability that Jessies will pick a green marble.
2/10 = 1/5
2/10's are equivalent to 1/5
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Help on this please.
Answer:
(25 -5√7)/3 ≈ 3.924 inches
Step-by-step explanation:
After removing squares from the corners and folding up the sides, the open-top box will have dimensions ...
x × (20 -2x) × (30 -2x)
The maximum value for this cubic expression in the domain 0 < x < 10 is found easily by a graphing calculator to be at x = 3.924 inches.
__
You can solve this by expanding the cubic and finding the solution that makes its derivative equal to 0.
V(x) = 4x^3 -100x^2 +600x
The derivative is ...
V'(x) = 12x^2 -200x +600 = 0
Dividing by 12, we have ...
x^2 -50/3x +50 = 0
Completing the square, we get the form ...
(x -25/3)^2 = -50 +(25/3)^2 = (-450 +625)/9 = 175/9
Taking the square root gives ...
x -25/3 = ±(5√7)/3
The solution in the desired range is ...
x = (25 -5√7)/3 ≈ 3.924 . . . inches
_____
Additional comment
We limit the value of x to half the width of the cardboard material, as any longer cuts would overlap to create a negative box dimension. The graph shows the maximum volume to be about 1056.3 cubic inches. Box dimensions would be 3.924 in deep by 12.153 in by 22.153 in.
__
The generic solution can be found using a similar procedure. For cardboard dimensions a×b, it will be ...
x = ((a +b) -√((a -b)² +ab))/6
Explain how #3 and #4 are similar
Answer:
Because they have an # in it
whats the area of square with base b=5cm
Answer:
Solution
A=a2=52=25cm²
Step-by-step explanation:
[tex]\qquad \huge \underline{\boxed{\sf ǟռֆաɛʀ }}[/tex]
Area of a square is :
[tex] \qquad \sf \dashrightarrow \: side {}^{2} [/tex]
that is ~
[tex]\qquad \sf \dashrightarrow \: {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {5}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {25}^{} \: cm {}^{2} [/tex]
find the number that makes the ratio equivalent to 48:96 6:_
Answer:
6:12
Step-by-step explanation:
since they already gave you six. you would have to figure out what number you have to divide by to get 6. which is 8 so to get an equivalent ratio whatever you do to the numerator you do to the denominator. you will have to divide both by 8 and you get your answer.
Question 15
Create an expression equivalent to 4(2x−1)+3(1/2x+5) that does not use parentheses.
Step-by-step explanation:
8x - 4 + 1.5x + 15
8x + 1.5x = 9.5x
-4 + 15 = 11
9.5x + 11
Expression = 9.5x + 11
Without Simplifying = 19/2x + 11
Answer:
9.5x + 11
Step-by-step explanation:
First, distribute the 4 to (2x - 1) to get 8x - 4. Distribute 3 to (1/2x + 5) to get 3/2x + 15. Put them back together to get 8x - 4 + 3/2x + 15. Combine like terms to get 9.5x + 11.