Answer:
y = 8x + 15
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = 8
y = 8x + b
Step 2: Find b
7 = 8(-1) + b
7 = -8 + b
b = 15
Step 3: Rewrite perpendicular equation
y = 8x + 15
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Step-by-step explanation:
[tex]a^n={\underbrace{a\cdot a\cdot a\cdot...\cdot a}_{n}[/tex]
METHOD 1.[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=\underbrace{b\cdot b\cdot b}_{3}\cdot\underbrace{b\cdot b\cdot b}_{3}=\underbrace{b\cdot b\cdot b\cdot b\cdot b\cdot b}_{6}=b^6[/tex]
METHOD 2.[tex]\left(b^3\right)^2=\underbrace{b^3\cdot b^3}_{2}=b^{3+3}=b^6\qquad\text{used}\ a^n\cdot a^m=a^{n+m}[/tex]
METHOD 3.[tex]\left(b^3\right)^2=\left(\underbrace{b\cdot b\cdot b}_{3}\right)^2=b^2\cdot b^2\cdot b^2=b^{2+2+2}=b^6\\\text{used}\ (ab)^n=a^nb^n,\ a^n\cdot a^m=a^{n+m}[/tex]
METHOD 4.[tex]\left(b^3\right)^2=b^{3\cdot2}=b^6\qquad\text{used}\ \left(a^n\right)^m=a^{nm}[/tex]
Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.
Answer:
B
Step-by-step explanation:
The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.
Answer:
b
Step-by-step explanation:
solve for x 42=7(x+5)
Answer:
42=7(x+5)
42=7x+35
42-35=7x
7=7x
X=7/7=1
It is worked out that if 3 ladles full of soup are given to each person, 160 people can be fed. The costumers complained in the past that the proportions are too small. The cool decides to give 5 ladles full of soup to each person. How many people can now be fed
Answer:
96 people
Step-by-step explanation:
Here, we have 3 ladles feeding 160 people, we now want to calculate the number of people 5 ladles will feed.
First, we need to calculate the total number of ladles that fed the 160
people
That would be 3 * 160 = 480 ladles
Now we increased their number of ladles to 5, the number of people we would be feeding is 480/5 = 96 people
5 meters.
The rectangle below has an area of x2 – 112 + 30 square meters and a length of x
What expression represents the width of the rectangle?
2 - 5
Width
22 – 110 + 30
Width
meters
Answer: The width is x-6
Step-by-step explanation:
To find the with factor out the area x^2 - 11x + 30
[tex]x^{2}[/tex] - 11x +30 to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .
[tex]x^{2}[/tex] - 5x - 6x + 30 now group them
([tex]x^{2}[/tex] - 5x) (-6x+ 30) factor them out.
x(x - 5) - 6(x -5) Factor x-5 out
(x-5)(x-6) since the length is x-5 then the width is x-6.
two angles of a triangle measure 41 degrees and 44 degrees what is the measure of the third angle? A) 75 degrees B) 85 degrees C) 95 degrees D) 105 degrees
Answer:
95 degrees
Step-by-step explanation:
All triangles have an interior measure of 180 degrees
180-41-44=95
Answer:
95 degrees
Step-by-step explanation:
What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Answer:
x = 12y = 4√3Step-by-step explanation:
To find x we use cosine
cos∅ = adjacent / hypotenuse
x is the adjacent
8√3 is the hypotenuse
cos 30 = x / 8√3
x = 8√3 cos 30
x = 12To find y we use sine
sin∅ = opposite / hypotenuse
y is the opposite
8√3 is the hypotenuse
sin 30 = y / 8√3
y = 8√3 sin 30
y = 4√3Hope this helps you
How many sides does a regular polygon have if the measure of each exterior angle is 24°?
Answer: 15 sides
Step-by-step explanation: Because the sum of the outer angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equivalent outer angles and therefore 15 vertices and sides to the polygon
Answer: angle is 24 degrees meaning that a regular polygon has more than 6 sides hope this is helpful
Step-by-step explanation:
pleaseee help me w dis asap!!
Answer:
x=2 f(x)=5-x
o≤x≤3 f(x)=x
2＜x＜3 f(x)=1
3＜x≤5 f(x)=5-x
Step-by-step explanation:
What is the area of the shaded region? (Approximate π to be 3.14)
Answer:
about 113.04 square inches
Step-by-step explanation:
No angles are indicated, so we must assume the sector is 1/4 of the circle. Then its area is 1/4 of that of a circle with radius 12 in:
Circle area = πr²
Sector area = (1/4)π(12 in)² = 36π in²
Sector area ≈ 36(3.14) in² = 113.04 in²
When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.
Answer:
8
Step-by-step explanation:
10-8 x 2 = 4
2 x 2 = 4
4 = 4
The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Let the required number is x.
According to given condition,
When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.
Implies that,
2 (10 - x) = 4
10 - x = 2
x = 10 - 2
x = 8
The required number is 8.
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Please Answer Now Identify the function’s vertical asymptotes. h(x)=x-4/x^2-4 x = 2 x = 4 x = -2, x = 2 x = -4, x = 4
Answer:
x = 2 and x = +2
Step-by-step explanation:
It's essential that you use parentheses to clarify what's happening here:
h(x)=x-4/x^2-4 => h(x)=(x-4) / (x^2-4)
We have vertical asymptotes at x values at which the denominator (x^2 - 4) is zero. That would be x = 2 and x = +2.
make x subject of m =n + x/p
Answer:
[tex]x = p(m-n)[/tex]
Step-by-step explanation:
m = n + [tex]\frac{x}{p}[/tex]
Subtracting n to both sides
=> m-n = [tex]\frac{x}{p}[/tex]
Multiplying p to both sides
=> [tex]x = p(m-n)[/tex]
Answer:
x=p(m-n)
Step-by-step explanation:
m =n + x/p
x/p=m-n
x=p(m-n)
A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.
Which statement best describes the possible value of the median time of students riding the bus to school?
THIS IS THE COMPLETE QUESTION;
A school creates a histogram representing the individual travel times for students riding the bus to school. The histogram is right-skewed, and the mean time is 25 minutes.
Which statement best describes the possible value of the median time of students riding the bus to school?
The median time is less than 25 minutes.
The median time is exactly equal to 25 minutes.
The median time is approximately equal to 25 minutes.
The median time is greater than 25 minutes.
Answer;
The median time is less than 25 minutes
Step-by-step explanation
✓When the histogram is skewed right, it implies that the mean is greater than the median which means The median time is less than the mean.
This is as a result of few large values that drive as a result of skewed-right data
✓Skewness can be explained as measure of the asymmetry of a histogram When a histogram is symmetrical when it has a normal distribution, i.e when the same amount of data falls on both sides of the mean. Ahistogram has a normal distribution will have a skewness of 0.
✓the skewness can be explained in terms positive/right relationship:
√nonparametric skew implies that the mean is greater than the median, which means it is at the the right.
√A negative/left nonparametric skew can be explained as when the mean is < the median. I e it fall to the left .
Therefore, the median is less than 25 minutes
The statement that most adequately recounts the likely value of median time:
A). The median is less than 25 minutes.
What is the Median?Median is defined as the number that isolates the first and later half of a set of given distribution or number.
As per the question, the bend in the histogram towards the right side signals that the mean value is significantly higher than the median.
The cause behind this is that the greater values have caused this influence.
Hence, this implies that the median values are lesser by the time of 25 minutes.
Thus, option A is the correct answer.
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The options are missing in the question. They are provided as follows:
The median time is less than 25 minutes.
The median time is exactly equal to 25 minutes.
The median time is approximately equal to 25 minutes.
The median time is greater than 25 minutes.
Here is a circle, centre O, and the tangent to the circle at the
point (8, 15) on the circle.
x
P (8, 15)
-17
O
17
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 15.
Answer:
The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].
Step-by-step explanation:
Center = (0, 0). Point on the circle = (8, 15).
OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].
The tangent is perpendicular to the radius.
So, its slope is = [tex]-\frac{8}{15}[/tex].
The tangent passes through (8, 15).
So, the equation is:
[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]
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6[13 – 2(4 + 1)] plz help mee
Answer:
18.
Step-by-step explanation:
6 * [13 - 2(4 + 1)] = 6 * [13 - 2(5)] = 6 * (13 - 10) = 6 * 3 = 18
Hope this helps!
Answer:
18
Explanation:
Step 1 - Simplify the expression. To do this, add four and one.
6[13 - 2(4 + 1)]
6[13 - 2(5)]
6[13 - 2 × 5]
Step 2 - Simplify the expression. To do this, multiply two by five.
6[13 - 2 × 5]
6[13 - 10]
Step 3 - Simplify the expression. To do this, subtract ten from thirteen.
6[13 - 10]
6[3]
Step 4 - Simplify the expression. To do this, multiply six by three.
6[3]
18
Therefore, the answer to the given expression is 18.
A True/False quiz has three questions. When guessing, the probability of getting a question correct is the same as the probability of getting a question wrong. What is the probability that a student that guesses gets at least 2 questions correct
Answer:
1/4 or 25% chance
Step-by-step explanation:
the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4
The probability that a student that guesses gets at least 2 questions correct is 1/4.
GivenThe probability of getting a question correct is the same as the probability of getting a question wrong.
The probability of getting the question is correct is;
[tex]= \dfrac{1}{2}[/tex]
The probability of getting the question is wrong is;
[tex]= \dfrac{1}{2}[/tex]
Therefore,
The probability that a student that guesses gets at least 2 questions correct is;
[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]
Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.
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Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2? On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1). On a coordinate plane, a line goes through points (0, 2) and (4, 0). On a coordinate plane, a line goes through points (0, 2) and (2, 3). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
Answer:
the answer is: D
Step-by-step explanation:
did the test
A line connecting the coordinates (-4, 0), and (0, 2) on a coordinate plane will serve as the equation's representation in graph 4.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, a linear function that has a slope of 0.5 and a y-intercept of 2.
thus the equation of line as slope-intercept:
y = mx + c
y = 0.5x + c
Since Y-intercept is 2 thus line passes through (0, 2)
from the equation
2 = 0.5 * 0 + c
c = 2
Equation of the line:
y = 0.5x + 2
Therefore, On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2) and graph 4 will represent the equation.
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The graph of the function f(x)=-(x+3)(x-1) is shown below. What is true about the domain and range of the function?
Answer:
The 3rd one is correct.
Step-by-step explanation:
PLVHGCHVBJGUYFTDCGVHJGYUJH
Answer:
The correct option is (B).
Step-by-step explanation:
The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.
For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.
In this case it is provided that:
40% of the students are licensed drivers55% students are female.The statement:
"the probability that a student who is a licensed driver is a male"
Is a statement of conditional probability.
This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.
Thus, the correct option is (B).
A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of elevation to the top of the building
Answer:
The angle of elevation to the top of the building is 63.61 degrees
Step-by-step explanation:
Here, we want to calculate angle of elevation to the top of the building.
For this, we need a triangle
Please check for this in the attachment.
From the diagram, we are to calculate the angle theta.
To do this, we use trigonometric identities.
Looking at what we have, we have the hypotenuse and the adjacent.
So the trigonometric identity to use is the cosine
Mathematically Cosine theta = adjacent/hypotenuse
Thus, Cos theta = 20/45
Cos theta = 0.444444444444444
Theta = Arc cos(0.444444444444444)
Theta = 63.61 degrees
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 –
Answer:
7 and 14
Step-by-step explanation:
https://brainly.com/question/9917237
Answer:
7 an 43
Step-by-step explanation:
find 1st, 2nd, 3rd, 4th and 10th nTh term. rule is 3n+4
Answer:
When n is 1
3n+4
=3*1+4
=3+4
=7
When n is 2
3n+4
=3*2+4
=6+4
=10
When n is 3
3n+4
=3*3+4
=9+4
=13
When n is 4
3n +4
=3*4+4
=12+4
=16
When n is 10
3n+4
=3*10+4
=30+4
34
solve 7+x÷3=2x-5 pls help me with this
Answer:
4.4
Step-by-step explanation:
Write the question out as an equation:
7+x/3 = 2x - 5
Rearrange , simplify and solve:
7+x = 3(2x-5) = 6x - 15
7+x = 6x-15
6x - 15 = 7+x
6x = 7+x+15 = 22+x
6x = 22+x
6x-x = 22
5x = 22
x = 4.4
hope this helps.
Good Luck.
Please Mark Brainiest
Answer:
Step-by-step explanation:
7+x/3=2x-5
taking 3 on the RHS
7+x=6x-15
22=5x
x=22/5
=4.4
what is the simplified value of 1/3 divied by 2/3
Answer:
1/2 or 0.5
Step-by-step explanation:
1/3 divided by 2/3
1/3 times 3/2
3/6
1/2, or 0.5
Answer:
1/2
Step-by-step explanation:
1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)
so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.
rearrange w= 3(2a+b) -4 to make a the subject
Answer:
a = - 1/2b + 1/6w + 2/3
Step-by-step explanation:
w= 3(2a+b) - 4
Add 4 on both sides.
w + 4 = 3(2a+b)
Divide 3 into both sides.
w/3 + 4/3 = 2a+b
Subtract b on both sides.
w/3 + 4/3 - b = 2a
Divide 2 into both parts.
w/3/2 + 4/3/2 - b/2 = a
a = w/6 + 4/6 - b/2
a = 1/6w + 2/3 - 1/2b
Answer:
a=(w-3b+4)/6
Step-by-step explanation:
w= 3(2a+b) -4
w=6a+3b-4
6a= w-3b+4
a=(w-3b+4)/6
How would 2.15 be represented as a percent? A. 0.0215% B. 21.5% C. 215% D. 2,150%
Answer:
C
Step-by-step explanation:
A percentage is a number over 100, so if you want to find the percentage of a number multiply by 100. 2.15x100= 215
Answer:
C
Step-by-step explanation:
Find the probability of rolling a sum of 10 or a sum that is an odd number when two number cubes are rolled.
Answer:
7/12 chance
Step-by-step explanation:
(1 2 3 4 5 6)
(1 2 3 4 5 6)
All the possibilities:
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 18 odd sums.
(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)
(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)
(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)
(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)
(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)
(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)
There are 3 possibilities whose sums add up to 10.
Since there are 36 total possibilities and 21 numbers that fit the rule of having an odd sum or a sum of 10. There is a 21/36 chance or simplified, 7/12 chance.
Hi please help meeee
An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.
Answer:
Step-by-step explanation:
The attachment will help you with your question:
On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Answer:
b
Step-by-step explanation: