Answer:
j = 1
Step-by-step explanation:
calculate the slope m between the 2 points and equate to - [tex]\frac{7}{10}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, j ) and (x₂, y₂ ) = (5, - 6 )
m = [tex]\frac{-6-j}{5-(-5)}[/tex] = [tex]\frac{-6-j}{5+5}[/tex] = [tex]\frac{-6-j}{10}[/tex]
then equating gives
[tex]\frac{-6-j}{10}[/tex] = - [tex]\frac{7}{10}[/tex] ( cross- multiply )
10(- 6 - j) = - 70 ( divide both sides by 10 )
- 6 - j = - 7 ( add 6 to both sides )
- j = - 1 ( multiply both sides by - 1 )
j = 1
Solve the equation for x.
1=0.4x - 0.8x - 35
What does x equal
Answer:
x = - 90
Step-by-step explanation:
1 = 0.4x - 0.8x - 35 ( add 35 to both sides )
36 = - 0.4x ( divide both sides by - 0.4 )
- 90 = x
What is the prime factorization of 621?
Answer:
[tex]621 = {3}^{3} \times 23[/tex]
Step-by-step explanation:
[tex]621 \div 3 = 207[/tex]
[tex]207 \div 3 = 69[/tex]
[tex]69 \div 3 = 23[/tex]
[tex]621 = 3 \times 3 \times 3 \times 23 = {3}^{3} \times 23[/tex]
please answer the question in the photo.
Considering when a triangle is formed given three sides, the code for the puzzle is given as follows:
BBBACC
What is the condition for 3 lengths to represent a triangle?In a triangle, the sum of the lengths of the two smaller sides of the triangle has to be greater than the length of the greater side of the triangle.
For the first letter, we have two sides, hence there are many possible values for the third side x, as long as 2.5 + x > 8, for x < 8 or x < 10.5, for x > 8, hence the first letter of the code is of B.
For the second letter, 4 + 7 < 19, hence no triangle can be formed with these dimensions and the letter is of B.
For the third letter, 2 + 4 > 5, hence one unique triangle can be formed with all the dimensions given and the letter is of B.
For the fourth letter, 6 + 8 > 12, hence one unique triangle can be formed with all the dimensions given and the letter is of A.
For the fifth letter, we have two sides, hence there are many possible values for the third side x, as long as 1 + x > 2.4, for x < 2.4 or x < 3.4, for x > 2.4, hence the letter is of C.
For the sixth letter, 5 + 9 > 13, hence one unique triangle can be formed with all the dimensions given and the letter is of C.
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The height in inches of two different groups of students in Mrs. Zamensky’s class are listed below.
Group A: 51, 53, 60, 64, 55
Group B: 50, 55, 58, 63, 52 Which statement is true about the heights of each group of students? Responses Group A has greater variability in students’ heights. Group A has greater variability in students’ heights. Group B has a greater mean for the students’ heights. Group B has a greater mean for the students’ heights. The variability in students’ heights of both groups is the same. The variability in students’ heights of both groups is the same. The mean for the heights of both groups of students is the same.
The range for both groups are the same, therefore: C. The variability in students’ heights of both groups is the same.
How to Determine the Variability and Mean of a Data Set?To find the mean of a data set, sum all data points given together and divide what you get by the number of data points that is given in the data set.
The range of a data gives us an idea of the spread of a data, which is a measure of variability. The larger the range, the more the variability that exist in the data set.
Given, Group A: 51, 53, 60, 64, 55, and Group B: 50, 55, 58, 63, 52, find the mean of each data set
Mean for Group A = (51 + 53 + 60 + 64 + 55)/5 = 283/5 = 56.6
Mean for Group B = (50 + 55 + 58 + 63 + 52)/5 = 278/5 = 55.6
Range for Group A = 64 - 51 = 13
Range for Group B = 63 - 50 = 13
This means that variability in students’ heights is the same for both group A and B.
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which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial? multiple choice question.
When counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
What is binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution. When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.For the trials we are looking at, the probability of receiving success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 12 or 0.5 for each trial we conduct.As it is given in the descrip[tion itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.Therefore, when counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
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The complete question is given below:
Which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial?
(A) Normal Distribution
(B) Power Normal Distribution
(C) Extreme Value Type Distribution
(D) Binomial Distribution
Why are there two possible solutions to the equation, X² = 100?
Answer:
x could be 10 or -10
Step-by-step explanation:
10 x 10 = 100
and
(-10) x (-10) = 100 A negative times a negative is a positive.
What is the area of this face?
20in.
10in.
10in.
5in.
5in.
10in.
10in.
100 in2
200 in2
150 in2
400 in2
Answer:200 in^2
Step-by-step explanation:
Determine the degree measure measure of One angle of a 30 sided regular polygon.
5400°
5040°
180°
168°
The degree measure of one angle of a 30 sided regular polygon is 168°
What is a regular polygon?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides or edges are made up of segments of straight lines that are joined end to end to create a closed shape.
The intersection of two lines is referred to as a vertex or corner, and an angle is created as a result. Regular polygons are those that have sides that are congruent.
We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is
(Side - 2) × 180°
(30 - 2) × 180°
= 5040°
Measure of each angle of 30-gon
= 5040°/30
= 168°
Thus, the degree measure measure of One angle of a 30 sided regular polygon is 168°
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Answer: 168
Step-by-step explanation: did the test
4. A bird is flying at 385 feet
above sea level. A fish is
swimming at 197 feet below
sea level. What is the
difference in their
elevation
Answer: their difference in elevation is 188 feet
Step-by-step explanation:
(10x-18)
B (15x+48)°
Name the relationship
Solve for x
X=
What is the measure of angle B
degrees
Answer:x=-13+1/5
Step-by-step explanation:
10x-18=15x+48
We move all terms to the left:
10x-18-(15x+48)=0
We get rid of parentheses
10x-15x-48-18=0
We add all the numbers together, and all the variables
-5x-66=0
We move all terms containing x to the left, all other terms to the right
-5x=66
x=66/-5
x=-13+1/5
1. Evaluate f(x) = -4x - 7 for x = -2.
Answer:
1
Step-by-step explanation:
Not sure how to answer it but here's the correct answer i believe
What is the best app to earn 1000 subscribers and 4000 public watch hours free online?
Diction is the way writers arrange words and punctuation to create sentences.
A. True
B. False
Answer:
False
Step-by-step explanation:
72.1 x 1.3 show work
Answer:
93.73
Step-by-step explanation:
72.1
x 1.3
_____
93.73
t + –9.7 = 0.39
t=___
Answer:
t = 10.09
Step-by-step explanation:
Answer in the picture below!
im very confused by this question
Answer:
x<3
Step-by-step explanation:
4x<5+7
4x<12
x=12÷4
x=3
what is the scale of a map in 1cm on the map is 2km in real life
Answer:
1cm:2km
Step-by-step explanation:
you ratio both of the answers which shows that 1cm on the map represents 2km in reality.
In the last ten games, Jamal made 7/9
of his free throws and Brian made 5/8
of his free throws. Which player has the better record? Explain.
By comparing the fractions, we see that 7/9 is larger than 5/8, thus, Jamal has the better record.
Which player has the better record?We know that Jamal made 7/9 of his free throws while Brian made 5/8 of his free throws.
To see which player has the better record, we need to see which one of the two fractions is larger.
To do so we can write both of the fractions as decimals, we will get:
7/9 = 0.77...
5/8 =0.625
There we can see that 7/9 is larger, thus, we can conclude that Jamal has a better record.
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3. Suppose that the function f(x) = 7x + 2 represents the number of cars that drive by in x minutes.
How many cars will drive by in 10 minutes?
27
70
72
90
Question 1
If your train travels at 65 miles per
hour for 3.5 hours, how far will it
go?
If your train travels at 65 miles per hour for 3.5 hours, it go 227.5 miles.
What is Speed ?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Given:
Speed S = 65 miles per hour
Time T = 3.5 hours
We know that,
S= D/T Where D is the distance traveled.
Therefore,
65 miles per hour = D/ 3.5 hours
D = 65 x 3.5 miles
=227.5 miles
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Find the inverse function in slope-intercept form (mx+b): f(x)=-x-2
Answer:
[tex]f {}^{ - 1} (x) = - x - 2[/tex]
What is 4 9/16 - 2 1/4
Answer:
Exact Form:
37/16
Decimal Form:
2.3125
Mixed Number Form:
2 5/16
Step-by-step explanation:
Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It goes through the origin.
C. It is a parabola.
D. It has a slope of 1.
I NEED HELP ASAP PLEASE!!!!!
Based on the discount to be applied by the online store when an order totals below $50 and $50 and above, the correct statement is C. A purchase of 2 pots at $20 each and 1 pan at $35 will be charged at $56.25.
How to find the discounted price?The discount for orders above $50 is 25%.
When a person buys 2 pots for $20 each and then 1 roasting pan for $35, the amount they'll pay normally is:
= (2 x 20) + 35
= 40 + 35
= $75
The amount the person will pay after the 25% discount is applied is:
= 75 x (1 - 25%)
= 75 x 75%
= $56.25
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The area of the triangle below is 5.89 square meters. What is the length of the base?
Answer:3.8 square meters
Step-by-step explanation: hope this helps!
42. MODELING REAL LIFE The graphs show the weight restrictions w (in tons) for vehicles with (a) axles, (b) axles, and (c) axles traveling on state roads. For each type of vehicle, write and interpret an inequality that represents the weight restriction (in ).
The inequalities that model each situation are given as follows:
a. w ≤ 20, meaning that vehicles with two axles can weight at most 20 tons.
b. w ≤ 30, meaning that vehicles with three axles can weight at most 30 tons.
c. w ≤ 40, meaning that vehicles with four axles can weight at most 40 tons.
Which inequalities models each situation?In each inequality, the plotted numbers are the numbers to the left, with a closed circle, hence:
The numbers to the left means that the numbers less than the value are part of the solution of the inequality.The closed circle means that the bound is a solution to the inequality.In item a, we have that for vehicles with 2 axles, the upper weight limit is of 20 tons, hence the inequality is:
w ≤ 20.
In item b, we have that for vehicles with 3 axles, the upper weight limit is of 30 tons, hence the inequality is:
w ≤ 30.
In item c, we have that for vehicles with 4 axles, the upper weight limit is of 40 tons, hence the inequality is:
w ≤ 40.
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Keaton drew an equilateral triangle on the computer. If the perimeter of the triangle is 29.4 centimeters, the length of a side of the triangle is
centimeters.
Find the derivative: since the function is f(x) = (1-3x)^(1/3), the derivative is f'(x)=1/3(1-3x)^(-2/3) *(-3) =-(1-3x)^(-2/3) =evenutally we get an answer but thats not what im confused about where did the *(-3) come from? what does it mean? it made me get a different answer and i don't understand where it came from? please help asap
The derivative of f(x) = (1 - 3x)^(1/3) is f'(x) = - (1 - 3x)^(-2/3). The *(-3) comes from the derivative of (1 - 3x) with respect to x, due to the chain rule.
Chain rule: dy/dx = dy/du. du/dx
Suppose we have f(g(x)), then its derivative is: f'(g(x)) . g'(x)
In the problem:
f(x) = (1 - 3x)^(1/3)
Let u = 1 - 3x
then f(u) = u^(1/3)
and f'(u) = 1/3 u^(-2/3)
That part only the derivative of f with respect to u. We still need to take the derivative of u with respect to x. That is:
u(x) = 1 - 3x
u'(x) = -3
Hence, the complete derivative is:
f'(x) = f'(u) . u'(x)
= 1/3 u^(-2/3) . (-3)
= - u^(-2/3) ( substitute back u = 1 - 3x )
= - (1 - 3x)^(-2/3)
Hence the *(-3) comes from the derivative of (1 - 3x) with respect to x, due to the chain rule.
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Given:
A = [ 1 -1 -2 3]
B = [ 1 5 8 -8 ]
C = [ 1 2 3 4 ]
Solve: AX + B = C
Answer:
[-5 3] [-5 6]
Step-by-step explanation:
Answer:
Your answer is on the pic...mate
Which of these are like terms? Select all that apply.
3 d
-6 ad
0.75 d
Please help
The likely terms that are the same based on the information include 3/4a³ and 0.75a³.
How to illustrate the information?It should be noted an equation is used to show the relationship between the variables that are given.
In the question, the likely terms that are given include: 3d, 3/4a³, -6ad, and 0.75a³.
It should be noted that the expressions that are the same include 3/4a³ and 0.75a³. This is because 3/4 is the same as 0.75 in decimal.
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