How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor?
Answer: 8 X (2+5)
Step-by-step explanation:
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree pee year.
Answer:
0.075 inch per year
Step-by-step explanation:
The diameter changed 3 inches in 40 years. Dividing 3 inches by 40 years gives a growth rate of 0.075 inch per year.
:)
0.075 inches is average rate of change in the diameter of the tree pee year.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
A giant red oak's diameter was 248 inches in 1965
The tree's diameter had grown to 251 inches in 2005.
The change in diameter from 1965 to 2005 is 251-248
3 inches.
The times in years is 2005-1965=40 years.
We have to find the average rate of change in the diameter of the tree pee year.
3/40
0.075 inches
Hence, 0.075 inches is average rate of change in the diameter of the tree pee year.
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A parachutist descends 64 feet in 4 seconds. Express the rate of the parachutist's change in height as a unit rate.
The unit rate of the parachutist's change in height is __ feet per second.
To find the unit rate of the parachutist's change in height, we divide the total distance descended (64 feet) by the total time (4 seconds). This yields a unit rate of 16 feet per second.
Explanation:In order to calculate the unit rate of this parachutist's descent, we need to set up a fraction with the total distance descended over the overall time. In this case, the parachutist descends 64 feet in 4 seconds.
We then solve for the unit rate by dividing the distance descended (64 feet) by the time it took to descend (4 seconds). So, the calculation would be 64 ÷ 4 = 16.
So, the unit rate of the parachutist's change in height is 16 feet per second.
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The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on social media in a week.
Part A: What is the group of points labeled A called? What is the point labeled B called? Give a possible reason for the presence of point B.
Part B: Describe the association between a student’s test scores and the number of hours spent on social media
What is 0.77 estimated
A rectangular prism has a base with side lengths x and x+3, and a height 2x. What is the surface area & volume of the prism?
Final answer:
The surface area of the rectangular prism is represented as [tex]2x^2 + 16x[/tex] square units, and the volume as [tex]2x^3 + 6x^2[/tex]cubic units, based on the dimension formulas where the side lengths of the base are x and x+3, and the height is 2x.
Explanation:
The question involves finding the surface area and volume of a rectangular prism with dimensions based on the variable x. Given, the side lengths of the base are x and x+3, and the height is 2x.
Surface Area Calculation
The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is length, w is width, and h is height. Substituting the given values, we get:
Top and Bottom Surface Area: 2(x)(x+3)
Front and Back Surface Area: 2(2x)(x+3)
Left and Right Surface Area: 2(x)(2x)
Adding these together yields the total surface area as [tex]2x^2 + 10x + 6x[/tex], which simplifies to [tex]2x^2 + 16x[/tex].
Volume Calculation
The volume of a rectangular prism is found using the formula V = lwh. For this prism, it translates to V = x(x+3)(2x), which simplifies to [tex]2x^3 + 6x^2.[/tex]
In conclusion, the surface area of the prism can be represented as [tex]2x^2 + 16x[/tex] square units, and the volume as [tex]2x^3 + 6x^2[/tex] cubic units.
What is the value of y in the parallelogram shown below?
Answer:
[tex]y=45[/tex]
Step-by-step explanation:
We have been given an image of a parallelogram. We are asked to find the value of y for our given parallelogram.
We know that opposite angles of parallelogram are equal and two consecutive angles are supplementary.
Using these properties, we can set an equation as:
[tex]35^{\circ}+y^{\circ}+40^{\circ}+60^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}-135^{\circ}+y^{\circ}=180^{\circ}-135^{\circ}[/tex]
[tex]y^{\circ}=45^{\circ}[/tex]
[tex]y=45[/tex]
Therefore, the value of y is 45.
What is the center of a circle given by the equation (x-3)2+(y-9)2=16
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time; 1 mile = 1609 meters
9.1 miles per hour
16 miles per hour
20.3 miles per hour
24 miles per hour
100m= 0.621371 miles
11 seconds = 0.0030556 hours
s=d/t
0.0621371miles/0.0030556hours = 20.3355miles/hours
round off to 20.3 miles per hour
Julio is playing a trivia game.on his first turn,he lost 100 points.on his second turn,he lost 75 points.on his third turn,he lost 85 points.Write a sum of three negative integers that models the change to Julio's score after his first three turns.
What is the value of y in the solution to the system of equations?
x + y = 1
2x – 3y = –30
Answer: The required value of y in the solution to the given system is 6.4.
Step-by-step explanation: We are given to find the value of y in the solution to the following system of linear equations :
[tex]x+y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-3y=-30~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
To find the value of y, we will try to eliminate x from both the equations.
Multiplying equation (i) by 2, we have
[tex]2(x+y)=1\times2\\\\\Rightarrow 2x+2y=2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Subtracting equation (ii) from equation (iii), we get
[tex](2x+2y)-(2x-3y)=2-(-30)\\\\\Rightarrow 2y+3y=2+30\\\\\Rightarrow 5y=32\\\\\Rightarrow y=\dfrac{32}{5}\\\\\Rightarrow y=6.4.[/tex]
Thus, the required value of y in the solution to the given system is 6.4.
What is the answer to 10 divided by 13
The answer we get on dividing the number "10" by the number "13" is 0.7692.
Division is a mathematical operation that divides one quantity or number by another to determine the number of times the second quantity is contained within the first.
The division of 10 by 13 results in a decimal value. When we perform the division operation, 10 divided by 13, we obtain a quotient of approximately 0.7692. This means that 10 can be divided into 13 approximately 0.7692 times.
In simpler terms, if we distribute 10 items into 13 equal groups, each group will contain approximately 0.7692 items.
Therefore, the value of 10 divided by 13 is approximately 0.7692 as a decimal.
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Which situation will have the greatest number of possible outcomes? A. The number of 5-digit zip codes, where the digits cannot be repeated. B. The number of 5-digit zip codes, where the digits increase. C. The number of 5-digit zip codes, where the digits can be repeated. D. The number of 5-digit zip codes, where the digits are the same.
. mc076-1.jpg If mc076-2.jpg and mc076-3.jpg, what is mc076-4.jpg?
Answer:
B
Step-by-step explanation:
What number must you add to complete the square? x^2+14x=-7
a. 196
b.7
c. 49
d. 14
A passenger plane travels at about 7.62 x 10^2 feet per second. The plane takes 1.23 x 10^4 seconds to reach its destination. About how far must a plane travel to reach its destination? Write your answer in scientific notation.
Multiply the two values together. 7.62 x 1.23 = 9.3726
10^2 x 10^4 = 10^6.
9.3726 x 10^6 is the answer in Scientific Notation.
Order least to greatest
0, -14,13,-12,-16,17
-16,-14,13,-12,0,17
-12,0,13,-14,-16,17
-12,-14,-16,-,13,17
0,12,13,-14,-16,17
Which is the farthest to the right on a number line
-15
-1
0
1
Find -5
-5
5
1/5
-1/5
The correct order from least to greatest is -16, -14, -12, 0, 13, 17. The number farthest to the right on the number line is 1, and 'finding -5' means locating the number -5 on a number line.
The question involves ordering numbers from least to greatest and finding the position of a number on a number line. To order numbers from least to greatest, you look for the smallest or most negative number and move towards the largest or most positive number. When placed on a number line, negative numbers are to the left of zero, and positive numbers are to the right of zero. Therefore, the correct order from least to greatest is -16, -14, -12, 0, 13, 17.
Moreover, the number farthest to the right on a number line from the options given is 1 because it is the greatest number listed and is positioned to the right of all the other numbers.
Finally, to 'find -5', it simply means to locate the number -5 on the number line. It is negative, so it will be to the left of zero.
what is the value of 4^6/4^8
What is the y-intercept of the line shown? A coordinate plane is shown. A line passes through the y-axis at 3 and through the point 2 comma 4.
Answer:
the line passes through 3 lol u just answered ur own question
Step-by-step explanation:
Nancy had 16 chocolate candies in a bag. Her mother put a handful of candies in the bag. When Nancy counts her chocolate candies, she discovers she now has 32 of them. Which of the following equations will help Nancy solve for the number of chocolate candies, c, that her mom put in the bag?
Answer please will give lots of pointsssssss
the secure hike has more identical times so it is more consistent,
so answer would be :
the range of play time is less consistent for the X-treamline, but it plays longer
What is the domain of the function f (x)=x^2+1
Which function is undefined when x= pi/2 radians
cos x
cot x
csc x
tan x
Answer:
Option 4 that is tan x will be undefined at x=pi/2 radians
Step-by-step explanation:
[tex]\frac{\pi}{2}radians=90^{\circ}[/tex]
In case 1:
We have cos x
[tex]\text{Cos x has value 0 at x}=\frac{\pi}{2}radians[/tex]
Therefore the function is defined hence, option 1 is discarded.
In case 2:
We have cot x and
[tex]cot x=\frac{cos x}{sin x}[/tex]
Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]
And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]cot x=\frac{0}{1}=0[/tex]
Hence, defined and Option 2 is discarded.
In case 3:
We have csc x and
[tex]csc x=\frac{1}{sin x}[/tex]
Since, [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]csc x=\frac{1}{1}=1[/tex]
Hence, defined and Option 3 is discarded.
In case 4:
We have tan x and
[tex]tan x=\frac{sin x}{cos x}[/tex]
Since, [tex]\text{cos x at x}=\frac{\pi}{2}\text{radians is 0}[/tex]
And [tex]\text{sin x at x}=\frac{\pi}{2}\text{radians is 1}[/tex]
Hence,[tex]tan x=\frac{1}{0}=\infty[/tex]
Hence, undefined and Option 4 is correct.
Find the GCF of 96x5 and 64x2.
GCF of 96 and 64:
64 = (2)(2)(2)(2)(2)(2)
96 = (2)(2)(2)(2)(2)(3)
GCF = (2)(2)(2)(2)(2) = 32
GCF of x5 and x2
: x5 = (x)(x)(x)(x)(x) x2 = (x)(x)
GCF = (x)(x) = x2
What is the GCF of 96x5 and 64x2?
a) 32x
b) 32x2
c) 32x3
d) 32x5
Answer:
[tex]32x^2[/tex]
Step-by-step explanation:
Given : [tex]96x^5[/tex] and [tex]64x^2[/tex]
To find : GCF
Solution :
[tex]96x^5 =2 \times 2 \times 2 \times 2 \times 2\times 3 \times x \times x \times x \times x \times x[/tex]
[tex]64x^2 =2 \times 2 \times 2 \times 2 \times 2\times 2 \times x \times x [/tex]
GCF = [tex]2 \times 2 \times 2 \times 2 \times 2\times x \times x [/tex]
GCF = [tex]32x^2[/tex]
Hence the GCF of [tex]96x^5[/tex] and [tex]64x^2[/tex] is [tex]32x^2[/tex]
What are the prime factorization of 36
Plz help where it says :write
The graph shows f(x) = (1/2)^x and its translation, g(x). Which describes the translation of f(x) to g(x)?
translation of four units up
translation of five units up
translation of four units to the right
translation of five units to the right
Translation of 4 units up
the graph show the height of 10 sunflowers grown in pj's garden what is the approximate probability that the next flower (flower 11) will be at least 60 inches?
Answer:1/2
Step-by-step explanation:
5 out of 10 of the flowers are at least 60 inches so 5/10 =0.5 which is = 1/2
The approximate probability that the next flower (flower 11) will be at least 60 inches is 1/2
What is probability?The probability of an event is a number that indicates how likely the event is to occur.
Given that, a graph that shows the height of the 10 sunflowers grown in PJ's garden.
We are asked to find the probability that the 11th flower will be at least 60 inches.
From the given experiment we can see that there are 5 sunflowers with height more than or equal to 60 inches, so the total number of favorable outcomes is 5.
Since there are total 10 sunflowers, so the total number of possible outcomes is 10.
Therefore, the required probability is = 1/2
Hence, the probability that 11th plant will be at least 60 inches is and option B is the correct choice.
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The complete question is attached
Solve the inequality 5x < 16 + x.
x < 1/4
x > 1/4
x < 4
x > 4
To solve the inequality 5x < 16 + x, you first rearrange it to 4x < 16 by subtracting x from both sides. Then, divide by 4 to solve for x, which results in x < 4. This means any value less than 4 satisfies the inequality.
Explanation:To solve the inequality 5x < 16 + x, you first need to rearrange the inequality so that all x terms are on one side of the inequality and the constant is on the other. You can start by subtracting x from both sides, which gives you 4x < 16.
Next, you can solve for x by dividing both sides by 4. Doing this gives you x < 4, which is your solution.
This means that any value less than 4 will satisfy the inequality. For example, if you insert 3 into the inequality (5*3 < 16 + 3), it holds true because 15 < 19.
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What is 506,709 in word form