Directions:Identify the constant used in the following algebraic expressions and
equations.Example:y=3x+2
Answer:
2
Step-by-step explanation:
Constants in an equation represents numbers. They are not attached to any variable. Given the equation y = 3x + 2, you will see that the term that is standing alone without a variable here is 2. This shows that the constant used in the equation is 2
Patrick climbed 4/5 of the way up the trunk of a tree. Jacob climbed 80/100 of the way up the same tree. To accomplish the same distance as Patrick and Jacob, how far up that tree trunk will Devon have to climb?
Answer:
Standard Description: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)
Step-by-step explanation:
the explanation and answer is there in above
After basketball practice, 8 players equally shared 3 water bottles of water. What fraction of a bottle did each player get?
Answer:
3/8
Step-by-step explanation:
You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.
What is the slope of the line passing through the points (-8,5) and (7,0)
To solve the problem we must know about the slope of a line.
What is a Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
The slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].
Given to us
points (-8,5) points (7,0)Points can be written as,
[tex]y_2 = 0\\y_1 = 5\\x_2=7\\x_1 = -8[/tex]
The slope of a lineWe know that the slope of a line whose two points are given is written as,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Substituting the value, we get,
[tex]m = \dfrac{(0-5)}{[7-(-8)]}\\\\m = \dfrac{(0-5)}{[7+8]}\\\\m = \dfrac{(-5)}{[15]}\\\\m= \dfrac{-1}{3}[/tex]
Hence, the slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].
Learn more about Slope:
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A car travels at an average speed of 90 km per hour.
2.2.1
3 hours?
How far will the car travel in 3
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Answer:
270 km
Step-by-step explanation:
Distance is related to speed and time by ...
distance = speed · time
distance = (90 km/h)(3 h) = 270 km
The car will travel 270 km in 3 hours.
Which of the following is a true statement about the angle in the figure below
A. The m<3 is 142°
B. The m <1 is 99°
C. The m<2 is 137°
D. The m<4 is 137°
Answer:D. The m<4 is 137°
(I did that before)
Select the correct answer.
Which of these graphs represents a function?
W.
X.
Y.
Z.
A.
W
B.
X
C.
Y
D.
Z
The graph that represents a function is graph X
For a graph to represent a function, then the graph must pass the vertical line test.
This means that, no two output values of the graph must have the same input value.
The above statement can be interpreted as:
For every x value, there must be exactly one corresponding y value.
From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.
Hence, the graph X represents a function
Read more about graphs and functions at:
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Answer:
the answer is x ! hope this helps
Step-by-step explanation:
i took the test
6x + 3 = 9x - 12 solve for x
Answer:
x = 5
Step-by-step explanation:
6x + 3 = 9x - 12
+12 +12
6x + 15 = 9x
-6x -6x
15 = 3x
/3 /3
x = 5
To check work:
6(5) + 3 = 9(5) - 12
30 + 3 = 45 - 12
33 = 33
in a class of students the following data table summarizes how many students play an instrument or Sports what is probability that a student chosen randomly from the class plays neither a sport Nor an instrument?
Answer: 3 out of 27 chance
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = -7(2x + 3)(x - 2)
Answer:
-14x² + 7x + 42
Step-by-step explanation:
(2x + 3)(x - 2) = 2x² - 4x + 3x - 6 = 2x² - x - 6
-7(2x² - x - 6) = -14x² + 7x + 42
Please help I don’t understand it
I need a reason for both
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Answer:
23) insufficient number of corresponding sides/angles
24) insufficient number of corresponding sides/angles
Step-by-step explanation:
In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)
__
23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)
Reason: insufficient data
__
24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.
Reason: insufficient data
Which number line shows the solution to the inequality
Answer:
Option B
Step-by-step explanation:
What is the solution set for
2|x -3| = 12?
A) No solution
B) {-9,9}
C) (-3,9)
D) {-9,3)
Answer: C. (-3, 9)
Step-by-step explanation:
Given
2|x-3|=12
Divide both sides by 2
2|x-3|/2=12/2
|x-3|=6
Take of absolute value sign (REMEMBER need to take into consideration of two conditions)
x-3=±6
1)x-3=6
x=9
2)x-3=-6
x=-3
**NOTE**: need to check each solution whether or not they are suitable
Hope this helps!! :)
Please let me know if you have any questions
three girls share 12000 in the ratio 2.3.7 calculate how much each girl will get
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Answer:
2000, 3000, 7000
Step-by-step explanation:
The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.
The girls get 2000 : 3000 : 7000.
Determine which number is the solution of the inequality: f + 2 < 9
Answer:
f < 7
Step-by-step explanation:
f can be any number that is less than 7
Answer:
6 and less will give you a number less then 9
Step-by-step explanation:
We know its not 7
because 7 + 2 < 9 = 9 = 9
we want something that is less then 9
1 up to 7 would give you an answer less then 9
6 + 2< 9 = 8 < 9
5 + 2 < 9 = 7 < 9
4 + 2 < 9 = 6 < 9
and more
3. The table shows five states and the lowest point in each state.
lowest elevation (feet)
state
California
-282
Colorado
3350
Louisiana
-8
New Mexico
2842
Wyoming
3099
Put the states in order by their lowest elevation, from least to greatest
Answer:
California, Louisiana, New Mexico, Wyoming, Colorado
Step-by-step explanation:
Simple order sense
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Arranging the states in order from lowest to highest elevation:
State Lowest Elevation (ft)
California -282
Louisiana -8
New Mexico 2842
Wyoming 3099
Colorado 3350
Therefore,
The order of states from least to greatest elevation is:
California, Louisiana, New Mexico, Wyoming, and Colorado.
Learn more about expressions here:
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What is the solution to the equation?
r/7.1 = 4.2
Answer:
r = 29.82
Step-by-step explanation:
We have the equation r/7.1 = 4.2 and are asked to solve for r.
To solve, we need to isolate r, do as followed and multiply 7.1 from both sides:
r/7.1 = 4.2
r = 29.82
Answer:
r = 29.82
Step-by-step explanation:
[tex]\frac{r}{7.1} = 4.2[/tex]
The opposite of division is multiplication, you will need to multiply 7.1 to both sides.
That would leave:
r = 4.2 (7.1)
r = 29.82
If there are further instructions for rounding, you can round.
Have a nice day!
An expression is shown below:
3x3y + 12xy − 9x2y − 36y
First Rewrite the expression so that the GCF is factored completely. Show the steps of your work.
Then Rewrite the expression completely factored. Show the steps of your work.
Answer:
Part A: so the GCF is 3y,
We need to rewrite the equation such as:
-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3
It will look like this:
3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y
We then need to factor out 3y:
3y(x^3 + 4x - 3x^2 - 12)
Part b: factor out completely
3y(x^3 + 4x - 3x^2 - 12)
So, we need to do the following:
3y{x^2(x-3) + 4 (x-3)}
we then get the final factor: 3y(x - 3) (x^2 + 4)
Step-by-step explanation:
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
------------------------
To factor the expression:
First, we need to find the greatest common factor of the numeric and symbolic coefficients.Then, we divide each term of the expression by it's gcf.------------------------
The expression is:
[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]
------------------------
The numeric coefficients are: 3, 12, 9, 36
The gcf of the numeric coefficients is:
3 - 12 - 9 - 36|3
1 - 4 - 3 - 12
The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.
------------------------
The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]
The only common term is y, so y is the gcf of the symbolic coefficients.
------------------------
The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.
Now, to factore the expression:
[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
A similar problem is given at https://brainly.com/question/20691631
HELP ASAP!!!!! When you provide feedback on another student's essay, what is the best way to start? Compare the essay to your own approach to writing. Summarize what you like most about the essay. Explain everything that's not working in the essay. List all of the grammar and spelling mistakes you found.
Answer:
the best way when I get 100% on them is to explain your view like I disagree with this statement because or agree with this statement and for the conclusion in conclusion of all the facts and statement we have viewed.
plzzzzzz help what is the area of a triangle that is 21mm and 17mm
Answer:
[tex]area = \frac{1}{2} \times 21 \times 17 \\ area = 178.5 {mm}^{2} [/tex]
The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.5 suppose 49 golfers played the course today find the average score of the 49 golfers exceeded 65 round to four decimal places
Answer:
0.3897
Step-by-step explanation: i g o o g l e it
which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
Please help, brainliest for correct answer
Answer:
11494.04 units
Step-by-step explanation:
V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032
I need help I forgot how to do this helppppppppppp!!!!!!!!!!!
Answer:
it's a trapezoid
Step-by-step explanation:
((major base + minor base) x height) / 2
((7+5)x8) / 2 = 52
whats the answer???? will mark brainlest
no files
Answer: 18 0/1
Step-by-step explanation:
Helppppp
A coin is weighted so that the probability of getting heads is Suppose you toss this coin 15 times. Let X
represent the number of heads. What are the mean and standard deviation of X?
= 0.67.00.88
H-7.50 -2.33
H-7.50 -3.23
10, 1.83
Answer:
C) 10, 1.83
Step-by-step explanation:
Answer:
should be D) = 10, = 1.83
Step-by-step explanation:
guessed it right, edge 23
How to solve (x+7)(x-9)>0
Answer:
x < -7, x > 9.
Step-by-step explanation:
Solve for x.
x = -7, 9
From the values of x above, we have these 3 intervals to test.
[tex]x < - 7[/tex]
[tex] - 7 <x < 9[/tex]
[tex]x > 9[/tex]
Pick a test point for each interval.
For the interval x < −7:
Let's pick x=−8. Then, (-8 + 7) (-8 - 9) > 0.
After simplifying, we get 17>0, which is true
Keep this interval.
Let's pick x=0. Then, (0+7)(0-9) > 0.
After simplifying, we get −63 > 0, which is false.
Drop this interval.
For the interval x > 9:
Let's pick x=10. Then, (10+7)(10-9)>0.
After simplifying, we get 17 > 0, which is true
Keep this interval.
Therefor, the answer is x < -7, x > 9.
Choose yes or no tell if each quadrilateral always has all sides equal in length and all angles
Answer: no
Step-by-step explanation:
cause rectangles are quadrilaterals but they have two uneven sides.
A manufacturer claims that a particular automobile model will get 50 miles per gallon on the highway. The researchers at a consumer-oriented magazine believe that this claim is high and plan a test with a simple random sample of 25 cars. What should the researchers conclude if the sample mean is 49 miles per gallon with standard deviation 2.3 miles per gallon
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given values:
[tex]The \ population\ mean(\bar{x})=50\\\\The \ sample \ mean, \mu =49\\\\standard \ deviation, \sigma =2.3\\\\ (n)=25\\\\null, H_o :\ \mu=50\\\\alternate, H_1 :\ \mu<50\\\\ testing \ the \ statistic (t) = \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt(n)}}\\\\to = \frac{49-50}{\frac{2.3}{\sqrt{25}}}\\\\to =-2.1739\\\\| to | =2.1739\\\\p-value\ :left \ tail - H_a : (p < -2.1739 )=0.0199\\\\null, H_o: \ \mu=50\\\\alternate, H_1: \ \mu<50\\\\test \ statistic: \ -2.1739\\\\p-value: 0.0199 \sim 0.02\\\\[/tex]
Therefore, the 0.02 p-value is sufficient proof to reject the claim form of the manufacturer.
Show that area under multivariate normal distribution over the whole range in unity. Find characteristics function of multivariate normal distribution and mean and variance of multivariate normal distribution. Differentiate between univariate and multivariate normal distribution and their practical applications. Also explain characteristic function, its application and differentiate between mean and variance of univariate and multivariate normal distribution with help of some practical examples
Answer:
here is the answer
Step-by-step explanation:
you may please search it
