Answer:
The answer is 0.7880
or 1 to the nearest whole number
Step-by-step explanation:
cos 38=0.7880
1 to the nearest whole number
Given the augmented matrix 1 -2 5 A 2 -3 4 -5 -4 -2 2 4 perform each row operation in the order specified and enter the final result. First: -2R1 + R2 + R2, Second: 2R1 + R3 → R3, Third: 2R2 + R3 → R3
if the area of the shaded region shown below is 120 square units, and the height of the line segment above the horizontal axis is 4 units, what is point a?
Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.
To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.
The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.
Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.
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WILL MARK BRAINLIEST IF ANSWERED FASTLY!!! PLS HELP ME!!
5/3x + 1/3x =10 2/3 + 7/3x
(The slashes mean fractions, EX: 5/3 - five thirds
In a family with 7 children, excluding multiple births, what is the probability of having 7 boys? Assume that a girl is as likely as a boy at each birth. Let E be the event that the family has 7 boys, where the sample space S is the set of all possible permutations of girls and boys for 7 children. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S). n(E) = n(S)=
The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.
To find the probability, we need to calculate n(E) and n(S).
In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.
This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.
Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.
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what is the slope of a line passing through the points (7,5) and (3,5)
Answer:
\(m=0\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (7, 5)
Point (3, 5)
Step 2: Find slope m
Substitute: \(m=\frac{5-5}{3-7}\)Subtract: \(m=\frac{0}{-4}\)Divide: \(m=0\)Answer:
0/-4
Step-by-step explanation:
You would us the slope formula: \(\frac{y2-y1 }{x2-x1}\)
so y2 is 5 and y1 is 5 so 5-5= 0
then x2 is 3 and x1 is 7 so 3-7= -4
so the slope is \(\frac{0}{-4}\)
(20 Points) I just want to be done with this so, some fast help would be much appreciated.
Answer:
I think it would be C
I'm not completely sure though!
suppose felino deposited $1500 in the bank for 3 years. he makes $112.50 in simple interest at the end of the 3 years. find the annual interest rate
Can someone please help me
Answer:
(-4,2)
x = -4
y = 2
Step-by-step explanation:
Add the two equations to cancel out x, and to get the value of y
y = -x-2
+
y = x + 6
=
2y = 4
y = 2
Now use any equation to find x
y = x + 6
2 = x + 6
2 - 6 = x
x = -4
Check:
plug the values in any equation to check wheather its right or wrong
y = x + 6
2 = -4 + 6
2 = 2 ✔️
A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
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Complete the square?
I need explanation on how to solve
Answer:
36
Step-by-step explanation:
You want a number c so that x² -12x +c is a perfect square trinomial.
SquareIt is helpful to understand the form of the square of a binomial:
(x -a)² = x² -2ax +a²
In this problem, you are given the coefficient of x is 12, and you are asked for the constant corresponding to a².
ApplicationWhen we match coefficients, we find the coefficients of x to be ...
-12 = -2a
Dividing by -2 gives ...
6 = a
Then the square we're looking for (a²) is ...
a² = 6² = 36
The trinomial ...
x² -12x +36 = (x -6)²
is a perfect square trinomial.
The constant we want to add is 36.
__
Additional comment
We chose to expand the square (x -a)² = x² -2ax +a² so the sign of the x-term would match what you are given. For the purpose of completing the square, that is not important. The added constant is the square of half the x-coefficient. The sign is irrelevant, as the square is always positive.
You will note that when we write the expression as the square of a binomial, the constant in the binomial is half the x-coefficient (and has the same sign).
x² -12x +36 ⇔ (x -6)²
Find the derivative of the given function. y = 6x2(1 - 5x) dy dx
Applying the product rule and the chain rule will allow us to determine the derivative of the given function, "y = 6x2(1 - 5x)".
Let's first give the two elements their formal names: (u = 6x2) and (v = 1 - 5x).
The derivative of (y) with respect to (x) is obtained by (y' = u'v + uv') using the product rule.
Both the derivatives of (u) and (v) with respect to (x) are (u' = 12x) and (v' = -5), respectively.
When these values are substituted, we get:
\(y' = (12x)(1 - 5x) + (6x^2)(-5)\)
Simplifying even more
\(y' = 12x - 60x^2 - 30x^2\)
combining comparable phrases
\(y' = 12x - 90x^2\)
As a result, y' = 12x - 90x2 is the derivative of the function (y = 6x2(1 - 5x)) with respect to (x).
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PLEASE HELP.
True or False
The graph of an exponential function, y=ab^x produces an asymptote at the line y=0.
IF YOU SOLVE THIS CORRECTLY WITH EXPLANATION U WILL GET BRAINILEST
-2r(8r+5)
Answer:
-16r^2 - 10r
Step-by-step explanation:
all you got to do is distribute
What is the value of (2/3)2?
Answer:
2/3(2)
=(2/3)(2/1)
=(2*2)/(3*1)
=4/3
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
(2/3)2
(2/3)(2/1)=4/3
Write the inequality that goes with the graph shown.
Answer:
—1=<x<-3
Since
X<-3
X>=-1
Not shaded means including.
HELP FAST WILL MARK BRAINLESS A salesperson at a jewelry store earns % commission each week. Last week, sold worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
multiply the percentage and then divide it by the sales tax in iowa
Step-by-step explanation:
Answer:
43.2 i think
Step-by-step explanation:
Choose the graph of y < –x2 + 4x + 5.
Answer:
can you show me the graph so I can't answer the question
Answer:
A
Step-by-step explanation:
Edge 2022
1. Find f(4)
f(1)=8
f(n)=-2f(n-1)-4
The fourth term in the sequence is:
f(4) = -76
How to find the value of f(4)?Here we have a sequence where we know the first term:
f(1) = 8
And the recursive formula is:
f(n) = -2*f(n - 1) - 4
Using the recursive formula we can get the next terms:
f(2) = -2*f(2 - 1) - 4
= -2*f(1) - 4 = -2*8 - 4 = -20
f(3) = -2*f(3 - 1) - 4
= -2*-20 - 4 = 40 - 4 = 36
f(4) = -2*f(4 - 1) - 4
= -2*36 - 4 = -76
That is the value of the fourth term.
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solve for x 3/4 + x = 1/2
Answer:
x = -1/4
Step-by-step explanation:
to solve for x, you can add or subtract the same thing from both sides of the equation so you get x by itself on one side.
if you start with
x + 3/4 = 1/2
you can subtract 3/4 from both sides to get rid of it on the x side
x + 3/4 - 3/4 = 1/2 - 3/4
x = 1/2 - 3/4
x = -1/4
Please help!
name each angles! I know if you dont know.
<4 and <14
<5 and <15
<8 and <13
<19 and <16
<6 and <14
<9 and <10
<2 and <20
<3 and <18
Answer:
Step-by-step explanation:
Corresponding angles
Internal angles
Interior alternate
Vertical ( or opposite)
Don't know
Adjacent angles
Remote adjacent
Exterior alternate.
Sorry don't know all of them.
I don't think there is any relation between and 6 and angle 14.
Use a unit rate to find the unknown value. 15/45 = 6/?
Who holds the world record for memorizing the most digits of pi.
Answer:
Akira Haraguchi.
Step-by-step explanation:
Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.
6. Write the equation of a circle whose center is (0,.-5) and radius is 7.
The equation of a circle whose center is (0,.-5) and radius is 7 as required is; (x - 0)² + (y + 5)² = 7².
What is the equation of the given circle?It follows from circle equations that; (x - a)² + (y - b)² = r² represents the equation of a circle whose center is; (a, b) and radius is; r.
Hence, for the given circle whose center is (0,.-5) and radius is 7.
(x - 0)² + (y + 5)² = 7²
Therefore, it can be inferred that the equation of the circle in discuss is; (x - 0)² + (y + 5)² = 7².
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1. Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).
Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.
PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!
ANSWER FOR Brainiest!!!
PLEASE GUYS, I NEED YOUR HELP AND THE LAST DAY IS TOMORROW AND I DON'T HAVE AN ANSWER
Part 1:
1. What are some danger of positioning a ladder against a wall?
a. ground needs to be level with the wall
a ladder needs to be in good shape
a. most dangers are just in case the ladder falls or you fall
a Gravity is not your friend
a. Oh! Also, if the ladder isnt steady, Once you reach the top, if you get off, It could fall leaving you stranded.
The steepest ladder I personally would climb: TWO STORIES
The shallowest ladder I personally would climb: UP TO THE ATTIC
Part 2:
1. OSHA is an agency responsible for workplace safety, read its rule and sketch a diagram that shows the proper relationship between the ladder, wall and
2. Calculate the angle that the ladder makes with the ground using a trigonometric ratio.
a. How tall is the wall? how long is the ladder? What is the measurement of the space between the foot of the ladder and teh wall? I dont know where to find these measurements but as long as you know SIN, ICOS, and TAN, You should be alright as long as you have the measurements
Sine= opposite/ hypotenuse
Cosine= adjacent/ hypotenuse
Tangent= opposite/adjacent
Part 3.
1. Watch the video below about Pierce fire trucks. Assuming a ladder truck must follow the OSHA recommendation, what's the highest floor it can safely reach? Sketch a graph and use trigonometric ratios to explain.
a. Where's the video?
2. What might be a problem with a truck having to park 25 feet away from the base of the building?
a. It will take a little bit of walking to get to the building but unless it is a firetruck or an ambulance needed to be that close to a builing, I dont think there is an issue. If there is a firetruck with a ladder and it is 25ft away from the base of the building it will be REALLY difficult to get to the building from the ladder.
3. Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at this height how long would the ladder have to be and how much would it weigh? Based on this, do you think Pierce should manufacture this apparatus? Explain.
a. Sorry my guy, I don’t know this at all. The ladder would have to be longer than the 25th floor, that is for sure, I just don’t know how much longer.
4. If Pierce wanted to manufacture this ladder, what might they do to make it feasible to put on a truck?
a. Well they would make it so that it can fold up to the length of where-ever the ladder is held on the fire truck. Like they would any other firetruck ladder.
Part 4.
1. What are some advantages and disadvantages of having a ladder at a very shallow angle?
advantages:
•you can get to lower places.
•probably more stable
very shallow disadvantages
•can’t get to high places
•might have to crawl on top of the ladder (I mean if it is mostly horizontal then yea)
2. what are some Advantages and disadvantages of having a ladder at a very shallow angle?
Advantages:
•you can get to high places
Disadvantages:
•Way less stable
•gravity is prone to pull you down.
•You can’t get to lower places
4. What do you think this means for the angle of the ladder they’re willing or able to climb?
a. I don’t know what to think about. Why are these questions so vague? Maybe the ladder needs to be super sturdy but that is a given when you are saving lives.
5. In 2017, 71 people died when their London apartment building caught fire: the exterior of the 24-story building was lined with flammable panels, and residents weren’t sure whter to leave their apartments or wait for help. There are many things that cities do to try and keep their citizens safe. Which of the following do you think would be the most effective in preventing tragedies like the one in London? Explain your reasoning by showing the pros and cons of each one.
I think (b) is the answer
(a). buying trucks with ladders longer that 100 feet
Pros: in theory this works because the firefighters would be able to reach high up places, like apartment building windows
Cons: The issue in the London case had nothing to do with windows and everything to do the walls and the people not knowing what to do so it isnt this answer.
(b). require tall buildings to be made of concrete
Pros: The walls aren’t flammable
Cons: I am not sure honestly
(c). training people on fire safety procedures?
Pros: people would know what to do in the London case scenario
Cons: How are you going to teach the whole city?
6. If ladders are difficult for high floors, what are some other options? What is the level of safety of each of your options? Explain using mathematical facts.
Stairs, escalators, elevators, ramps, slides, maybe even a trampoline...
If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.
I don't know how to make
In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a standard deviation of 0.5. Both distributions are close to symmetric in shape.
Use the mean and standard deviation to compare the scores of the two groups.
The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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what is a solution of a system of linear equations in three variables?
The solution of a system of linear equations in three variables represents the values of the variables that satisfy all the equations simultaneously.
In more detail, a system of linear equations in three variables consists of multiple equations that involve three unknowns. The goal is to find a set of values for the variables that make all the equations true. The solution of such a system can be described as a point or a set of points in three-dimensional space that satisfy all the equations.
In general, there can be three types of solutions for a system of linear equations in three variables:
1. Unique Solution: The system has a single point of intersection, and the values of the variables can be determined uniquely.
2. No Solution: The system has no common point of intersection, meaning there are no values for the variables that satisfy all the equations simultaneously.
3. Infinite Solutions: The system has infinitely many points of intersection, and the values of the variables can be expressed in terms of parameters.
To find the solution of a system of linear equations in three variables, various methods can be used, such as substitution, elimination, or matrix operations. The choice of method depends on the specific characteristics of the equations and the desired approach.
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Plz help wit this
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )
x = \(\sqrt{225}\) = 15
Answer:
I did this quickly, so please check the logic.
I find x = 15
Step-by-step explanation:
See attached image. Note that I've defined 3 triangles and their Pythagorean equations. I also define a third line, RQ, as z. Rearrange the equations and substitute in a way that allows elimination of all variables except x.
The area of a rectangle is given as x2+5x+6. which expression represents either the length or widith of the rectangle. these are the answers, it has to be one of these (x-3) (x+1) (x+3) (x+6)
The expression which represents either the length or width is (x+3). The correct answer is option (c).
Given that the area of a rectangle which is given as x²+5x+6.
We have to find which expression represents either the length or width.
We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.
So, will find the factoring the expression we can see expressions for the length and the width.
Factoring x²+5x+6 we get (x+2)(x+3).
One of these factors is the width and the other is the length.
Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).
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