Answer:5
Step-by-step explanation:
2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?
Answer:
There will be 56 possible combinations if he is allowed to choose the same topping twice.
There will be 47 if he is not allowed to choose the same topping twice.
Step-by-step explanation:
Number of ways max choose two are 45
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;
Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);
Given;
Toppings available to make an ice cream sundae = 10
The number of ways can Max choose 2;
= 10C2
=10! / [(10-2)! X 2!]
=45
Therefore, Max can choose toppings is 45 by combination
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8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
I need answers for the questions in the picture
What is the value of the expression -35.62/2.6 *
Answer:
-13.7
Step-by-step explanation:
when you divide -35,62 by 2.6 you get -13.7
Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!
Answer:
-13.7
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
it should be 4.5
Step-by-step explanation:
The AREA of a rectangle is the product of length and width.
Write a simplified expression for the AREA of the rectangle below.
X
Answer:
x^2 + 6x
Step-by-step explanation:
A = lw
l = x + 6
w = x
Plug in values
(x + 6) × x = x^2 + 6x
4) Transforme, observando os exemplos:
180’ = 180’ : 60=3°
180”= 180” : 60 = 3’
⦁ 120’ em graus
⦁ 300’ em graus
⦁ 420’ em graus
⦁ 120” em minutos
Answer:
63
Step-by-step explanation:
fhj v
What Islamic cultural characteristics were spread by trade during the medieval times?
People began to adopt new forms of script.
People shared styles of art and architecture.
Cultures adopted the use of camel caravans for trade.
Cultures throughout the world began to open schools.
Answer:
People shared styles of art and architecture
Step-by-step explanation:
In medieval times, Islamic religion and culture spread mainly through military conquest and trade.
With the spread of Islamic culture in the medieval times, the characteristic which were spread by trade was art and architecture.
Answer:
People shared styles of art and architecture
Step-by-step explanation:
It is what it is
Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000
PLEASE HELP ME ASAP!!!
Answer:
C) -2/3
Step-by-step explanation:
please help meeeeeeeeeeeeee
Answer:
Umm, I think you need to add your attachment.
Step-by-step explanation:
Answer:
[tex]help = \frac{h \times e \times l \times p}{1} = \boxed{help}........how \: can \: i \: help. \\ [/tex]
Isabel tried to evaluate an expression step by step
Answer:
Step 2
Step-by-step explanation:
Answer:
step 2
Step-by-step explanation:
What is the domain of the relation graphed below? There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).
Answer:
3
Step-by-step explanation:
the cost of 2 cups of strawberries is $6. write an expression for the relationship between the cost, c, and the cups of strawberries,s.
2cup=6$
Im sorry if it isnt good.
Tell me weather the transformation is a dilation Explain
Answer:
A dialation is an enlargment or reduction of a figure. The size changes. To find dilation, multiply each point by a scale factor(k). (x, y)➡(kx, ky)
Ex. scale factor is 3
(2, 5)➡(6, 15)
Step-by-step explanation:
I just learned this.
A popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their
responses on a website to join the sample. One of the questions was: "Do you regularly read nonfiction novels?" More
than 45,000 people responded, with 59 percent saying "Yes." Which of the following is true?
A) The sample is too small to draw any conclusion.
B) About 59% of people in the US regularly read nonfiction novels.
C) The poll uses voluntary response, so the results tell us little about the population of all adults.
D) The poll uses a convenience sample, so the results tell us little about the population of all adults.
E) The poll suffers from nonresponse bias, so the results tell us little about the population of all adults.
Answer:
The poll uses voluntary response, so the results tell us little about the population of all adults.
Step-by-step explanation:
I took the test
The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
About 59% of the 45,000 people responded as "Yes" to the question
The sample size is n = 45,000.
The sample proportion is p = 0.59.
The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.
Thus the results tell us little about the population of all adults because of the large sample size.
The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.
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Translate the following equation into a verbal sentence: x + 3 = 2(6 + x)
Answer:
"x" plus three equals to two times six plus "x"
(1) Interpret the correlation r = 0.2. What all does it tell you about a bivariate data set? *
Answer:
a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
Step-by-step explanation:
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
You are a salesperson and your provability of selling items is 2 out of 20. (probability of success). if you have 4 potential customers, what is the probability that you are going to sell to exact 2 of these customers
Answer:
P(X = 2) = 0.0486
Step-by-step explanation:
We are told that probability of selling items is 2 out of 20.
Thus, probability of success is;
p = 2/20 = 0.1
you have 4 potential customers and you want to find the probability that you are going to sell to exact 2 of these customers.
This is a binomial probability distribution problem.
Thus;
n = 4 and x = 2.
So;
P(X = 2) = C(4, 2) × 0.1^(2) × (1 - 0.1)^(4 - 2)
P(X = 2) = 6 × 0.01 × 0.81
P(X = 2) = 0.0486
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
Find 3 fractions between 1/5 and 2/5
Answer:
1/4 3/4 4/3
Step-by-step explanation:
Answer:
3/10, 5/20, 7/20
I hope this helps!
You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?
Answer:
I trhink you´ll have 117000
my explanation:
4.5 × 12=54%
54%=1 year
54% + 54%
108% + 27%
135% =67000
67000 + 50000
Suppose that you draw one card from a well-shuffled deck of 52 playing cards. What is the probability that the card that you draw is a black 7 or a black 8
The probability that the card that you draw is a black 7 or a black 8 is 1/13
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
So, the probability that the card that you draw is a black 7 = 4/52
So, the probability that the card that you draw is a black 8 = 2/26
Therefore,
the probability that the card that you draw is a black 7 or a black 8 = 4/52 - 2/26 = 1/13
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Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
Which of the tables represents a function? 50 points i will give braileist
Table P
Input Output
6 3
1 2
6 7
Table Q
Input Output
5 1
7 8
5 6
Table R
Input Output
2 5
6 7
9 8
Table S
Input Output
3 6
4 7
4 5
Question 2 options:
1)
Table P
2)
Table Q
3)
Table R
4)
Table S
Answer:
Table RStep-by-step explanation:
Table P
Not a function as repeat input of 6 with different outputsTable Q
Not a function as repeat input of 5 with different outputsTable R
FunctionTable S
Not a function as repeat input of 4 with different outputsFind the slope of each graph. Express the answer in simplest form.Can you please show me a graph you answer
Answer:
[tex]m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -2)
Point (0, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4+2}{0+4}[/tex]Add: [tex]m=\frac{6}{4}[/tex]Simplify: [tex]m=\frac{3}{2}[/tex]And we have our final answer!
Two forces are acting on an object, one at 58 Newton's and the other at 83 Newton's.
The resulting force is 105 Newton's. What is the angle between the resulting force and
the larger of the two original forces?
Butter is packed in 250g packs. What will
the moss, in pounds of a pack of butter?
Answer:
loss=54-52.5
Step-by-step explanation:
=1.5Rs
loss%=loss/CP×100
=1.5/54×100
2.78%
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