the ordered pairs(1,4), (3,12), and (5, 20)represent the distance y that Jario walks after x seconds. Plot the ordered pairs on the coordinate plane and drawn a line through the points and find the slope of the line and explain what the slope represents.
Check the picture below.
Answer: 4 meters per sec.
A set of stairs is being built as shown.
The length of each stair is 11 inches. What is the rise, r, for each stair? Round to the nearest inch.
2 inches
7 inches
17 inches
24 inches
Answer:
The correct answer is A. Two inches.
Simplify four square root 2+7 square root 2-3 square root two
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
4[tex]\sqrt{2}[/tex] + 7[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{2}[/tex]
Factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex](4 + 7 - 3) = 8[tex]\sqrt{2}[/tex]
What is 5/1 • 7 3/6 and 3 1/3 • 2 2/4 simplify?
Answer:
The first one is 35 5/6. The second is 8 1/3
Step-by-step explanation:
5/1 * 7 3/6
= 5/1 * 45/6
=215/6
= 35 5/6
3 1/3 * 2 2/4
= 10/3 * 10/4
= 100/12
= 8 1/3
(8x-11)-(15-x)=1 dont know where to start with it
Answer:
x = 3
Step-by-step explanation:
First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.
Answer: x=3
Step-by-step explanation:Step 1: Simplify both sides of the equation.
(8x-11)-(15-x)=1
(8x-11)+-1(15-x)=1 (distribute the negative sign)
8x+-11+-15+x=1
8x+x+(-15+-11)=1 (combine like terms)
9x+-26=1
Step 2: Add 26 to both sides
9x-26+26=1+26
9x=27
Step 3: Divide both sides by 9.
9x/9=27/9
x=3
Based on the graph, what is the initial value of the linear relationship?
(A) −2
(B) 0
(C) 2/3
(D) 3
Check the picture below.
Simplify. 11-19i/8-5i
Good evening ,
______
Answer:
[tex]\frac{183-97i}{89}[/tex]
____________________
Step-by-step explanation:
(11-19i)/(8-5i)
=(11-19i)(8+5i)/(8-5i)(8+5i)
=(88+55i-152i+95)/(8²+5²)
=(183-97i)/89.
:)
How can you use the Angle-Angle Similarity Postulate to find out if triangles are similar?
A Triangles are similar if one corresponding angle in each triangle is the same measure.
B Triangles are similar if two corresponding angles in each triangle are the same measure.
C Triangles are similar if one corresponding angle and one corresponding side in each triangle are the same measure.
D Triangles are similar if two corresponding sides in each triangle are parallel to each other and have the same measure.
Answer:
B. Triangles are similar if two corresponding angles in each triangle are the same measure.
Step-by-step explanation:
If two pairs of corresponding angles are congruent, then that makes the triangles similar to each other, by the Angle-Angle Similarity Postulate.
* This is definitely a genuine statement!
I am joyous to assist you anytime.
how to differentiate x⁴ over 4 ?
Answer:
x³
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
[tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex], then
[tex]\frac{d}{dx}[/tex] ( [tex]\frac{1}{4}[/tex] [tex]x^{4}[/tex] )
= 4 × [tex]\frac{1}{4}[/tex] [tex]x^{4-1}[/tex] = x³
Answer:
x^3.
Step-by-step explanation:
Algebraic differentiation:
If y = ax^n , dy/dx = an x^(n-1), so
y = x^4 / 4
= (1/4)x^4
dy/dx = (1/4 * 4) x(4-1)
= x^3.
When F(x)=-3 What is X
Type the correct answer in the box. Spell all words correctly.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The line is on a different plane from the points.
Statement B: The line lies on only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Only statement
is true.
Reset
When a line passes through two points on a plane, according to Euclidean geometry, that line is on the same plane as the points-the correct statement is Statement C.
Explanation:In the context of the four statements given about a line passing through two points on a plane, only Statement C is correct. According to Euclidean geometry, specifically the concept of a plane, if a line passes through two points on a plane, the line is indeed on the same plane as the points. To further clarify this mathematical rule, you can picture a page of a book as the plane, and any line drawn between two points on the page is considered to be on the same plane as the points.
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The correct statement is Statement C: The line is on the same plane as the points.
Explanation:The correct statement regarding a line passing through two points on a plane is Statement C: The line is on the same plane as the points. A line that passes through two points on a plane is always on the same plane as those points. Since a plane is a flat surface that extends infinitely in all directions, any line that lies on the same plane as the points will also lie on that plane.
For example, if we have two points A and B on a flat table, any line that passes through those points will also lie on the table itself, and thus, on the same plane as the points.
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D. 350.00
6. Luke drove 120 miles in 3 hours. At this
rate, how long will it take him to drive 280
miles?
A. 9 hours
B. 7 hours
C. 5 hours
D. 4 hours
Answer:
B. 7 hours
Step-by-step explanation:
Since the question states "at this rate" , this could be worked out by using simple proportion.
120miles = 3hours
280miles = ?
(280x3)/120 = 7 hours
It will take 7 hours to drive 280 miles.
What is speed- distance formula?Speed shows us how quickly or slowly an item is moving by converting distance to time. It gives the amount of time it took to travel a certain distance divided by the distance travelled.
Speed is inversely correlated with time and directly correlated with distance. As a result, distance equals speed times time, and time equals distance divided by speed; as speed rises, distance travelled will shorten, and vice versa.
Given:
Distance = 120 miles
Time= 3 hours
Now, using
speed= Distance / time
speed = 120/ 3
speed= 40 miles / h
Now, for distance 280 miles
time= Distance / speed
time = 280 / 40
time = 7 hours
Hence, it will take 7 hours to drive 280 miles.
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Write an equation for the given word problem.
Anne deposits $300 in her bank account. Now her balance is $450. Which equation can be used to find the amount, x, in her bank account?
300 + 450 = x
x + 300 = 450
300x = 450
x + 300 = 450 is the correct answer. This is becuause the unknown amount, x, is how much she put in the bank. $450 is her total, so it would be equal to 450. If she already had 300, you need to firgure out what she added to 300 to make the answer 450, so the correct answer is x + 300 = 450.
Evaluate the expression below
4 - 2 2x2 + 3
Is my answer right
Answer:
3
Step-by-step explanation:
first mulitply 2×2 then add 3 it equals in total 7. then subtract 7-4 and your final answer is 3.
Find the slope of the line passing through each of the following pair of points. (4, 0), (-2, 8)
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (- 2, 8)
m = [tex]\frac{8-0}{-2-4}[/tex] = [tex]\frac{8}{-6}[/tex] = - [tex]\frac{4}{3}[/tex]
HELP needed!!
Completely the steps to find the value of x in the angle?
8x + 6 = m<4
m<4 = 180 - 118 = 62
8x + 6 = 62
8x = 56
x = 7
[tex]6 = \frac{a}{4} + 2[/tex]
Perform 4.629 + 78.2 - 57
With appropriate number of significant figures
Final answer:
The calculation 4.629 + 78.2 - 57, when rounded to the appropriate number of significant figures, results in 25.8. This takes into account the number with the least decimal places in the original equation.
Explanation:
To solve the calculation 4.629 + 78.2 - 57 with the appropriate number of significant figures, follow these steps:
Add 4.629 to 78.2 to get 82.829.
Subtract 57 from 82.829 to get 25.829.
When considering significant figures, the least number of decimal places in the given numbers is one (in the number 78.2), which means our final answer should also be rounded to one decimal place. Therefore, the correct answer, rounded and with the appropriate number of significant figures, would be 25.8.
Evaluate 6-(5-(3×2-3))
[tex]\bf \stackrel{\mathbb{P~~E~~M~~D~~A~~S}}{6-(5-(3\times 2-3))\implies 6-(5-(\stackrel{\downarrow }{6}-3))\implies 6-(5-(\stackrel{\downarrow }{3}))} \\\\\\ 6-(\stackrel{\downarrow }{2})\implies 4[/tex]
Multiply 9x^2(2x^2+8x)
18x^4+72x^3 is the answer to your question
Answer: 9x^2(2x^2+8x)
2x^2 8x
9x^2. 18x^4 72x^3
18x^4 + 72x^3
Step-by-step explanation:
6.) A box of candy had 4 cherry pieces for
every 10 lemon pieces. If the box had 45
lemon pieces, how many cherry pieces
would there be?
Answer:
18 cherries
Step-by-step explanation:
45 lemon pieces
40 lemons=16 cherries
5 lemons=2 cherries
Write the equation of the sequence in the form y = mx + b:
0.5, 2.5, 4.5, ...
Answer:
y= 2x + 0.5
Step-by-step explanation:
can you help me im stuck thank you
Answer:
The answer to your question is: -17°C
Step-by-step explanation:
Data
Initial temperature = 7°C at 3:00 pm
Temperature drops 6°C every hour
Temperature at 7:00 pm
Process Temperature
3:00 7°C
4:00 -6°C 1°C
5:00 -6°C -5°C
6:00 -6°C -11°C
7:00 -6°C -17°C
Please hurry!
A health club charges new members a one-time start-up fee in addition to a monthly fee. The cost, in dollars, of the membership for x months is modeled by the function
f(x) = 80 + 30x
What does the 80 represent in the function? (Multiple Choice) (1 point)
The start-up fee
The monthly fee
The rate of change in the monthly fee
The total amount charged each month
How did you know your answer for part a? Write at least 2 complete sentences.
(2 points)
Another health club (we will call it club B) charges a monthly fee of $35 a month and has a one-time start up fee of $20. Write a function that models the cost, in dollars, of the membership at club B for x months. (2 points)
Explain why you wrote your equation in part c the way you did. Write at least 2 complete sentences. (2 points)
Elizabeth wants to join a health club for 8 months to get in shape for her wedding. Which club should she join? Either show work or explain why you chose that club.
A) Because the 80 is by itself that would be the start up fee.
B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.
C) Copying the same format as the given equation above, change the numbers:
f(x) = 20 + 35x
D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).
E) Replace x in each equation with 8 and calculate the cost of each:
80 + 30(8) = 80 + 240 = $320
20 + 35(8) = 20 + 280 = $300
The second club (club B) is the cheaper option for her.
Show each step of your work.
Solve -3x – 2 = 19.
Answer:
Step-by-step explanation:
-3x -2 = 19
+3x +3x
-2 = 19 + 3x
-19 -19
-21 = 3x
Divided by 3
-7 = x
Be Precise, One kilometer is About 0.62 mile.
It is 12 Kilometers from Noah's house to the ice skating rink. About how many miles is it from Noah's house to the ice skating rink?
Answer:
about 7.4 miles
exact is 7.44 miles
Step-by-step explanation:
0.62×12=7.44
The sum of a number and its additive inverse is equal to ?
Answer:
Zero
Step-by-step explanation:
To find the additive inverse, you merely change the sign of the number
For Example 5 {5 is the number} + (-5) {-5 is the additive inverse} = 0.
i.e. 6 + (-6) = 0
i.e (-7) + 7 = 0
The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the numbers?
Answer:
20, 60, 15
Step-by-step explanation:
Let the third number be n, then
The first number is n + 5 and the second number is 4n
Sum the 3 numbers and equate to 95, that is
n + 5 + 4n + n = 95 ← collect like terms on left side
6n + 5 = 95 ( subtract 5 from both sides )
6n = 90 ( divide both sides by 6 )
n = 15
Thus
The first number is 15 + 5 = 20
The second number is 4 × 15 = 60
The third number is 15
How many numbers between 650 and 780 leave the remainders 4 and 6 when divided by 7 and 11, respectively?
There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.
For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].
Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]
We need to find the intersection of these two sets of numbers between 650 and 780.
Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:
[tex]\[7k + 4 \geq 650\][/tex]
[tex]\[7k \geq 646\][/tex]
[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]
Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.
So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]
Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:
[tex]\[7k + 4 \leq 780\][/tex]
[tex]\[7k \leq 776\][/tex]
[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]
Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.
So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]
Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:
[tex]\[11m + 6 \geq 650\][/tex]
[tex]\[11m \geq 644\][/tex]
[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.
So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]
Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:
[tex]\[11m + 6 \leq 780\][/tex]
[tex]\[11m \leq 774\][/tex]
[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]
Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.
So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]
Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]
This can be done by finding the range of overlap between these two sets.
The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.
So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.
The sum of two numbers is 72 and one of them is five times the other
Answer:
60+12
Step-by-step explanation:
5x12=60
Answer:
12 and 60
Step-by-step explanation:
Create an equation to solve:
x + 5x = 72
6x = 72 combine like terms
x = 12 divide both sides by 6
the first number is 12
then the other number is 5 times this one
12 x 5 = 60
ANSWER: 12 & 60
Check your work:
12 + 60= 72