The equation 5(1 + 3) - 3(2 - 1) when solved gives the final result 17.
To evaluate the expression 5(1 + 3) - 3(2 - 1), you need to follow the proper order of operations, which consists of parentheses first, then multiplication or division (from left to right), and finally addition or subtraction (also from left to right).
First, simplify the expressions inside the parentheses:
(1 + 3) = 4(2 - 1) = 1Next, multiply each result by the number outside the parentheses:
5(4) = 203(1) = 3Now subtract the second result from the first:
20 - 3 = 17The evaluated expression is 17.
f(x) = X^2. what is g(x) A. g(x) = x^2 - 4 B. g(x) = x^2 + 4 C. g(x) = -4x^2 D. g(x) = -x^2 - 4
Answer:
D. g(x) = -x^2 - 4
Step-by-step explanation:
(A.P.E.X)
The required function g(x) = -x²- 4. Option D is correct.
f(x) = x², g(x) to be determine with help of graph.
Function is defined as y = f(x). For every x their is certain value of y.
Here, from the graph g(x) is reflection of f(x) at y = -4.
So g(x) = -f(x) - 4
negative sign for reflection.
g(x) = -x²-4
Thus, The required function g(x) = -x²- 4.
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given the function y=2cos(4∅+5) +1, where is the midline?
Answer:
y = 1
Step-by-step explanation:
This is very simple.
The mid-line of a sinusoidal function is the horizontal line that passes through the middle of the extreme values.
The midline of a sinusoid of the form y = a Cos (bx + c) + d is going to be
y = d
The form y = a Cos (bx + c) + d is the transformed of the version y = Cos x. Midline is only affected by a vertical shift, which is d.
Thus, the midline of the equation given y=2 cos (4∅+5) + 1 is y = 1
How do you solve for m
Answer:
M=65
Step-by-step explanation:
1=65 thus 2=65
trust me I'm right I am always right
Which of the following types of lines will never intersect one another?
parallel lines
perpendicular lines
transversal lines
intersecting lines
Parallel Lines, they always stay perfectly in line.
Answer:
parallel lines
Step-by-step explanation:
lines that never cross one another and are the same distance apart at all times
If a skateboard cost $36 and the tax rate is 6.5 percent .
What is the tax on the skateboard?
What is the total price, including tax?
Answer: Tax= 2.275 Total= 38.275
Step-by-step explanation:
The following graph plots the batting averages of 29 players of a baseball team against the weekly time (in hours) they spend in batting practice.
Which statement is a reasonable conclusion that may be drawn from the graph?
Practice and batting average have no direct relationship.
The best batter has an average of 0.33.
Batting practice increases batting averages.
The worst batter has an average of 0.
Answer:
Batting practice increases batting averages.
Step-by-step explanation:
By looking at the graph, we clearly see a trend, almost a straight line (if you regroup the points a bit) going up.
So, it's clear that batting practice increases batting averages; they're directly related. The more a player practices at bat, the better will be his average.
Answers B and D (best and worst batters) are not proved at all by the graph, since there's data higher than those two cases.
State the plot overview of the movie Inside out. Please help ASAP.
Inside Out is a film about an 11 year old girl named Riley who moves across the country from Minnesota to San Francisco with her parents. Riley experiences a transformation in her mind and in who she is as a person as she tries to adjust to her new life in San Francisco and to the difficult process of growing up. The viewer follows Riley’s five emotions, Joy, Sadness, Anger, Fear, and Disgust, on a journey in her mind to help her through her transition to adolescence, and to assist her in making what they think are the right decisions.
Inside Out is an animated movie detailing the emotional journey of an 11-year-old girl named Riley who moves to San Francisco. The film personifies Riley's core emotions: Joy, Sadness, Anger, Fear, and Disgust, outlining how they shape her actions and memories. The movie communicates a crucial message about the importance of all emotions, including sadness.
Explanation:Inside Out is a movie presented by Pixar Animation Studios and released by Walt Disney Pictures. It showcases the story of an 11-year-old girl named Riley who moves from her hometown in Minnesota to San Francisco due to her father's new job. But this story is not a typical animation, as it transcends the usual plot setup. The unique aspect of this film is that it personifies Riley's five core emotions: Joy, Sadness, Anger, Fear, and Disgust, who live inside her mind and guide her actions and memories.
At the start of the movie, Riley's actions are primarily dictated by Joy, but the move to San Francisco triggers a series of events leading to Joy and Sadness getting lost in the depths of Riley's mind, leaving Anger, Fear, and Disgust in control. Throughout their journey to return to the headquarters, Joy and Sadness traverse various parts of Riley's mind, including Long-Term Memory, Imagination Land, and even the Subconscious, all the while Riley struggles with her new life.
In the end, the movie beautifully illustrates that all emotions are vital for a healthy mind - highlighting that sadness is as essential as joy. This plot overview simplifies a deep and complex movie, conveying a profound message about understanding and managing emotions.
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Please explain your answer as well. THX!!
Answer:
The correct option is the first one.
Step-by-step explanation:
We know that 14 men and 24 women applied for a job. So a total of 38 persons applied for that job.
But there are 4 ways a man can be chosen. It can be the first person chosen, the second, the third of the fourth one.
So we know that the number of ways that four people can be selected out of 38 people is 38C4=73,815.
Also the number of ways 3 woman can be selected is 14*24C3 =14*2024 = 28,336.
Then, the probability of randomly selecting a group with 3 women is 28,336/73,815=0.3838
The correct option is the first one.
Answer:
The correct answer is first option, 0.384
Step-by-step explanation:
It is given that, there are 14 men and 24 women apply for job.
4 are selected random
To find the probability
total people = 14 + 24 = 38
The number people selected in 38C₄ = 38 * 37 * 36 * 35
number of ways 1 men selected in 14C₁ ways
Number of ways 3 women selected is 24C₃ ways
Total number of ways select only 1 men and 3 women = 14C₁ * 24C₃
Required probability = (14C₁ * 24C₃)/(38 * 37 * 36 * 35)
= 0.3837 ≈ 0.384
The correct answer is first option
what is the perimeter of the rectangle in the coordinate plane
44 units
42 units
30 units
15 units
K12
PLEASE HELP ASAP
Perimeter is when you add the sides. The top is 4 and so is the bottom. = 8
One side is 11 and so is the other = 22
8+22= 30
Answer:
C.) 30 units
Step-by-step explanation:
top and bottom sides are 4, left and right sides are 11, add
4+4 = 8
11+11=22
22+8=30
(sorry My other answer was wrong, I calculated Area, not Premeter.
Two cars started moving from San Jose to San Diego. The speed of the faster car was 12 mph less than twice the speed of the other one. In 6 hours the faster car got to San Diego, and by that time the slower one still was 168 miles away from the destination. Find their speeds.
460 miles to San Diego
460/6=76.6 repeating -12 then divided by 2
means the other slower car was going approx 32.3 MPH
I may be wrong considering i had to google how far san diego was, if there was a graph or anything telling distance lmk
Answer:
Speed of the faster car is 68 mph and speed of slower car is 40 mph.
Step-by-step explanation:
Let the faster car has the speed = x mph
and slower car has the speed = y mph
Let the distance between San Jose and San Diago = d miles
Now we will form the first equation.
"Speed of the faster car was 12 mph less than twice the speed of the slower one"
x = 2y -12 ----------(1)
Since "faster car cover the distance d in 6 hours"
so, [tex]x=\frac{d}{6}[/tex]
"By that time the slower car still was 168 miles away from the destination"
so, [tex]y=\frac{d-168}{6}[/tex]
[tex]y=\frac{d}{6}-\frac{168}{6}[/tex]
y = x - 28 {since [tex]x=\frac{d}{6}[/tex]} ---------(2)
By substitution method,
x = 2(x - 28) - 12
x = 2x - 56 - 12
x - 2x = - 68
x = 68 mph
By putting x = 68 in equation 2
y = 68 - 28
y = 40 mph
Therefore, speed of the faster car is 68 mph and speed of slower car is 40 mph
For the function f(x) = x + 7, what is the ordered pair for the point on the graph when x = 2b?
Answer:
The ordered pair is the point [tex](2b,2b+7)[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x+7[/tex]
For [tex]x=2b[/tex]
Substitute the value of x in the function
so
[tex]f(2b)=2b+7[/tex]
therefore
The ordered pair is the point [tex](2b,2b+7)[/tex]
Answer:
(2b, 2b+7)
Step-by-step explanation:
Since the value of x is 2b, we just have to insert that value into the function in order to solve the ordered pair, we have the first part of the ordered pair, which is (2b), now we just insert the value of x into the function:
[tex]f(x)=x+7\\f(x)=2b+7[/tex]
Now we know that the value of y would be 2b +7, and the ordered pair will be (2b,2b+7)
Factor 27a^3 b^9+8c^18
For this case we must factor the following expression:
[tex]27a ^ 3b ^ 9 + 8c ^ 18[/tex]
So, we rewrite the terms like:
[tex]27a ^ 3b ^ 9 = (3ab ^ 3) ^ 3\\8c ^ {18} = (2c ^ 6) ^ 3[/tex]
So, we have:
[tex](3ab ^ 3) ^ 3 + (2c^6) ^ 3 =[/tex]
Being both perfect cube terms, we factorize by applying the cube sum formula:
[tex](a ^ 3 + b ^ 3) = (a + b) (a ^ 2-ab + b ^ 2)[/tex]
Where:
[tex]a = 3ab ^ 3\\b = 2c ^ 6\\(3ab ^ 3 + 2c ^ 6) ((3ab ^ 3) ^ 2- (3ab ^ 3) (2c ^ 6) + (2c ^ 6) ^ 2) =\\(3ab ^ 3 + 2c ^ 6) (9a^2b ^ 6-6ab ^ 3c ^ 6 + 4c ^ {12})[/tex]
Answer:
[tex](3ab ^ 3 + 2c ^ 6) (9a2b ^ 6-6ab ^ 3c ^ 6 + 4c ^ 12)[/tex]
it is estimated that on a daily basis 15% of the custoners at a local supermarket use the express checkout. What is the probability that one of the first five customers on a given day uses the express checkout?
Answer:
the answer is 1/5 for the probability
how do I write repeating decimals in proper form?
Answer:
If a number has infinite repeating decimals, the correct form to write repeating decimilas is by adding a line -also con vinculum- above the repeating decimals.
For example:
[tex]\frac{1}{3} = 0,3333333 =[/tex] [tex]0.\overline{3}[/tex]
A recipe makes 36 cookies per batch. Which of the following calculations gives the number of batches that will make 144 cookies?
Answer:
4 batch
Step-by-step explanation:
1 batch = 36 cookies
? batches = 144 cookies
? batches = 144 / 36
? batches = 4
4 batch gives the number of batches that will make 144 cookies.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
1 batch = 36 cookies
batches = 144 cookies
batches = 144 / 36
batches = 4
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Find the value of the variable x in the equation x + 5.1 = –6.8.
Answer:
x = -11.9
Step-by-step explanation:
x + 5.1 = –6.8
Subtract 5.1 from each side
x + 5.1-5.1 = –6.8-5.1
x = -11.9
-11.9
Step by Step ExplanationSubtract 5.1 from Both sides to get -11.9 and that’s what x equals
Suppose Colby rolls the number cube 1000 times, about how many times can she expect to roll an odd number?
Since there are 3 odd numbers ( 1, 3 and 5) and 3 even numbers ( 2, 4 and 6) in the cube ,
The chance of getting an odd number is 50/50 or 50%
So out of 1000 she will probably get 500 odd since 1000 × 0.5 (which is 50%) is 500
What's 30 inches decreased by 30%
Answer:
21
Step-by-step explanation:
First, we would find 30% of 30, which would be 9. Then we would subtract 9 from 30 because we are decreasing it by 30%. That means the answer is 30-9, which is 21.
Ignore working out and make x the subject plz show working out thank youuu
Making x the subject of the equation would be x = y - y or x = 0.
To make x the subject of the equation x + y = y , first isolate x on one side of the equation. To do this, subtract y from both sides of the equation:
x + y - y = y - y
This simplifies to :
x = 0
The solution is that x = 0. This means that no matter what the value of y is, x will always be 0 when the equation x + y = y holds true .
The full question is:
Make the variable in brackets the subject of the formula:
(x + y ) = y (x)
The environmental protection agency is attempting to revive 3 acres of contaminated soil by replacing the top 24 inches of the soil.trucks with a hauling capacity of 28 cubic yards of soil are hired to remove the contaminated soil. how many full truckloads of contaminated soil will be hauled away?
To remove 3 acres of contaminated soil at 24 inches deep, 346 full truckloads are needed, assuming each truck has a capacity of 28 cubic yards.
The student's question is regarding the number of truckloads required to haul away contaminated soil. We are given that 3 acres of soil need to be removed to a depth of 24 inches, and the trucks used have a hauling capacity of 28 cubic yards each.
To calculate how many full truckloads are required, we first need to convert the area and depth measurements from acres and inches into cubic yards (the unit of the truck's capacity). One acre is 43,560 square feet, so 3 acres would be 3 x 43,560 = 130,680 square feet. Depth needs to be converted from inches to feet, so 24 inches is 24 / 12 = 2 feet.
The total volume of soil to be removed in cubic feet is:
130,680 square feet x 2 feet = 261,360 cubic feet.
Since there are 27 cubic feet in one cubic yard, the total volume in cubic yards is:
261,360 cubic feet / 27 cubic feet per cubic yard = 9,680 cubic yards.
Finally, to find the number of full truckloads needed:
9,680 cubic yards / 28 cubic yards per truck = 345.71 trucks.
Since you can't have a fraction of a truck, you would need 346 full truckloads to remove all the contaminated soil. Each truck can carry exactly 28 cubic yards, and the last truck may not be full to capacity, but 346 is the number of full truckloads required for the task.
Find u*v, if u=13j and v=i+3j
Answer:
u * v = 39 ⇒ 2nd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- u and v are two vectors
- u * v means the scalar product of the two vectors
- The scalar product is a way of multiplying vectors
- The result of a scalar product is always a number not a vector
- Ex: If u = ai + bj ⇒ <a , b> and v = ci + dj ⇒ <c , d> then the scalar
product of them is ac + bd where ac + bd is a number
* Lets solve the problem
∵ Vector u = 13j ⇒ <0 , 13>
∵ Vector v = i + 3j ⇒ <1 , 3>
- Lets find the scalar product
∴ u * v = (0)(1) + (13)(3)
∴ u * v = 0 + 39
∴ u * v = 39
If (x, 1/100) lies on the graph of y = 10x, then x =
The value of x in the coordinate is 1/1000
Using the coordinates of the point given:
(x , 1/100)Equation of the graph:
y = 10xTo find the value of x for the coordinate given; substitute into the equation:
1/100 = 10x
1/100 × 100 = 100 * 10x
1 = 1000x
x = 1/1000
Hence, x = 1/1000
what is the area of this triangle h = 5 in. b = 10 in.
The area of a triangle is 1/2 base times height so, the answer is 25
The area of the triangle is 25 square inches.
What is a triangle?A 2-dimensional geometric figure bounded by three sides and has 3 corners and hence has 3 angles is called a triangle. In a triangle sum of all 3 angles is equal to 180°.
How to find the area of the triangle?Area of triangle can be found by the formula, base x height/2In the given problem,
base = 10 in.height = 5 in.∴ Area of triangle = ( 10 x 5 /2) square inches = 25 square inches
So, the area of the triangle is 25 square inches.
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Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?
(-1, ___)
-4
0
1
5
the answer is 5
u substitute -1 into x and then solve
Answer:
the answer is D: 5
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
Answer:
x=4
Step-by-step explanation:
From the statement we know that g(x)=3(x-2) and g(x)=6. Then we know that:
6=3(x-2)
Solving for "x":
6=3x-6
12=3x
x=12/3
x=4
Then, the solution is x=4.
For this case we have a function of the form [tex]y = g (x)[/tex]
Where:
[tex]g (x) = 3 (x-2)[/tex]
We want to find the value of "x" if the function is 6, that is, if y = 6
So, we have:
[tex]3 (x-2) = 6\\3x-6 = 6[/tex]
We clear "x":
[tex]3x = 6 + 6\\3x = 12\\x = \frac {12} {3}\\x = 4[/tex]
So, if the function has a value of 6, then [tex]x = 4[/tex]
ANswer:
[tex]x = 4[/tex]
If a boy threw 8 books in to a pond and originally had 147 books how many books does he now have?
Answer:
139
Step-by-step explanation:
He originally had 147 books and threw 8 into a pond.
147-8=139
Marco sells and ships oranges from the trees in his orange grove for $1.25 per pound plus a shipping fee. One package has a shipping fee of $4.95 and a total cost of $11.20. How many pounds of oranges are in the package?
Answer: ARE THEIR OPTIONS TO CHOSE FROM
Step-by-step explanation:
Answer:
No options so i cant help please put below thx (:
Step-by-step explanation:
5(2x – 3) = 5 Part A: How many solutions does this equation have? (4 points) Part B: What are the solutions to this equation? Show your work. (6 points)
ANSWER
a) One Solution
b) the solution is x=2
EXPLANATION
The given equation is:
[tex]5(2x - 3) = 5[/tex]
We expand to get;
[tex]10x - 15 = 5[/tex]
Group similar terms;
[tex]10x = 15 + 5[/tex]
This implies that,
[tex]10x = 20[/tex]
Divide both sides by 10 to obtain,
[tex]x = 2[/tex]
Which possibly forms a triangle
Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
What is the value of 6/1+i? 2-6i
2+6i
3-3i
3+3i
Answer:
3 - 3i
Step-by-step explanation:
I think you meant:
6
------------
1 + i
To simplify this, that is, to "rationalize the denominator," multiply both numerator and denominator by the conjugate of 1 + i, which is 1 - I:
6(1 - i)
----------- = 3(1 - i)= 3 - 3i
1 -(-1)
the correct value of the expression is 3-3i.
The value of 6/(1+i) can be found by multiplying both the numerator and the denominator by the complex conjugate of the denominator. The complex conjugate of 1 + i is 1 - i. Therefore, we have:
(6/(1+i)) × (1-i)/(1-i) = (6 × (1-i))/(1+ i)(1-i) = (6-6i)/(1-i^2) = (6-6i)/(1+1) = (6-6i)/2 = 3-3i.
Thus, the correct value of the expression is 3-3i.