Answer:
-156.9*0.01= -1.569
-62(-0.4)= 20.8
Answer:
1. -156.9 x 0.01 = -1.569
2. -62(-0.4) = 24.8
Step-by-step explanation:
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
a. Use the line of random numbers to obtain and report the resulting list of heads and tails. Use H for heads and T for tails.Q0000 00.000 0.0.000 00000
Given -
An unbiased coin is tossed
To Find -
The list of heads and tails while tossing a coin
Assumption -
The coin is tossed twice
Explaination -
The following table lists some possible arrangements for the experiment
How many different ways can you write the number 8 as a power ? Show your work by writing all of the different ways.
a. 1 way
b. 2 diffrent ways
c. 3 different ways
d. 4 different ways
Answer:
Kill me if I'm wrong but I think it's 2
Step-by-step explanation:
Answer:
1 way
Step-by-step explanation:
if we're talking about numbers from the group N (...,-1,0,1,2,3,4,..)
then there's only one way wich is 2³
Sam spends $1200 on his education, which is of his salary. Hiis salary is
$4500.
Answer:
3200
Step-by-step explanation:
Answer:
3300
Step-by-step explanation:
A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?
Answer:
Hello! The answer for this is 900 liters a day
Step-by-step explanation:
Which line is parallel to Y=-4
x=6
y=-4x
y=6
y=4x
Answer:
The answer would be y=6
Step-by-step explanation:
Question is on the picture
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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Do yall do RSM cuz thats why i come here
Answer:
Step-by-step explanation:
Yes I do :P
Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)
A graph of the given piecewise-defined function is shown in the image below.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.
In conclusion, this piecewise-defined function has a removable discontinuity.
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Find the angle on the unit circle
The angle on the unit circle is solved to be
56.01 degrees (to the nearest tenth)
How to find the angleTo find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.
given that P = ((√5)/4, (√11)/4)
θ = arctan ((√11)/4 / (√5)/4)
θ = arctan((√11)/(√5))
θ ≈ 56.01 degrees
hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.
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PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
The 100th line segment by using the nth term of a sequence is equal to 20200.
What is a sequence?A sequence can be defined as a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.
Next, we would determine the differences between the terms in this sequence until all the differences are the same:
12 - 4 = 8
24 - 12 = 12
40 - 24 = 16
12 - 8 = 4
16 - 12 = 4
Since the differences are the same, the sequence is a quadratic function and it contains an n² term. Also, the coefficient of n² is one-half of the equal difference. This ultimately implies that, the coefficient of n² is equal to 2.
In order to determine the nth term of this sequence, we would develop a table to model increment:
n 1 2 3 4
2n² 2 8 18 32
Operation +2 +4 +6 +8
Sequence 4 12 24 40
By critically observing the table above, we can logically deduce that the nth term of this sequence is given by:
aₙ = 2n² + 2n
a₁₀₀ = 2(100)² + 2(100)
a₁₀₀ = 2(10000) + 2(100)
a₁₀₀ = 20000 + 200
a₁₀₀ = 20200.
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The endpoints of a segment are located at $(a,c)$ and $(b,c)$ . Find the coordinates of the midpoint of the segment in terms of $a,\ b,\ $ and $c$ . The coordinates of the midpoint are ( , ). Find the length of the segment in terms of $a,\ b,\ $ and $c$ . The length of the segment is units.
The coordinates of the midpoint is: [(b + a)/2, 2c/2]
Using the distance formula, the distance of the segment is: b - a.
How to Determine the Coordinates of a Midpoint of a Segment?To determine the coordinate of any given segment, the formula that can be used is the midpoint formula which is expressed as:
(x, y) = [(x2 + x1)/2, (y2 + y1)/2].
Given the endpoints:
(a, c) = (x1, y1)
(b, c) = (x2, y2)
Plug in the values
(x, y) = [(b + a)/2, (c + c)/2]
Midpoint = [(b + a)/2, 2c/2]
Using the distance formula d = \(\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\) find the length of the segment:
d = √[(c - c)² + (b - a)²]
d = √[(0)² + (b - a)²]
d = √[(0 + (b - a)²]
d = √(b - a)²
d = b - a
Using the distance formula, the distance of the segment is: b - a.
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LESSON 17 SESSION 3
4 Ms. Duda's class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.
Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."
Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."
Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.
Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
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4.
units
a)
The lunch cost
The number of stickers collected by Maurice, Elle, and Justin is in the ratio 8:5:7.
If Maurice collected 960 stickers, how many stickers did Elle and Justin
each collect?
b)
If the three children have 1,500 stickers altogether, how many stickers did
they each collect?
a) For the ratio 8 : 5 : 7, if Maurice has 960 stickers then Elle collects 600 stickers and Justin collects 840 stickers.
b) For the ratio 8 : 5 : 7, if the total number of stickers is 1500 then Maurice collects 600 stickers, Elle collects 375 stickers and Justin collects 525 stickers.
What is ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
a) The ratio of stickers Maurice collects = 8
The number of stickers Maurice collects = 960
The ratio of stickers Elle collects = 5
The ratio of stickers Justin collects = 7
Let the number of stickers be x.
So, the equation for Maurice's collection will be -
8x = 960
x = 960/8
x = 120
So, Elle collects 5x stickers which is -
5 × 120 = 600 (substitute the value of x)
Justin collects 7x stickers which is -
7 × 120 = 840 (substitute the value of x)
Therefore, Elle and Justin have 600 and 840 stickers.
b) The total number of stickers is = 1500.
The ratio of stickers Maurice collects = 8x
The ratio of stickers Elle collects = 5x
The ratio of stickers Justin collects = 7x
The equation formed is -
8x + 5x + 7x = 1500
20x = 1500
x = 1500 / 20
x = 75
Substitute the value of x to find number of stickers.
So, Maurice collects = 8 × 75 = 600 stickers
So, Elle collects = 5 × 75 = 375 stickers
So, Justin collects = 7 × 75 = 525 stickers
Therefore, the number of stickers Maurice, Elle and Justin have is 600, 375 and 525 respectively.
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find the value of x for the following equation 4(6x -9.5) = 46
Step-by-step explanation:
step 1. 24x - 38 = 46 (distributive property)
step 2. 24x = 84 (add 38 to both sides)
step 3. x = 84/24 = 21/6 = 7/2 (divide by 24 and simplify).
what is the variable in the expression 3y+8
Product of (4a+6b)(a-b)
Answer:Simplifying
(4a + 6b)(a + -1b) = 0
Multiply (4a + 6b) * (a + -1b)
(4a * (a + -1b) + 6b * (a + -1b)) = 0
((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0
Reorder the terms:
((-4ab + 4a2) + 6b * (a + -1b)) = 0
((-4ab + 4a2) + 6b * (a + -1b)) = 0
(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0
(-4ab + 4a2 + (6ab + -6b2)) = 0
Reorder the terms:
(-4ab + 6ab + 4a2 + -6b2) = 0
Combine like terms: -4ab + 6ab = 2ab
(2ab + 4a2 + -6b2) = 0
Solving
2ab + 4a2 + -6b2 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '2'.
2(ab + 2a2 + -3b2) = 0
Factor a trinomial.
2((a + -1b)(2a + 3b)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve:
Simplifying
a + -1b = 0
Solving
a + -1b = 0
Move all terms containing a to the left, all other terms to the right.
Add 'b' to each side of the equation.
a + -1b + b = 0 + b
Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b
Simplifying
a = b
Subproblem 2
Set the factor '(2a + 3b)' equal to zero and attempt to solve:
Simplifying
2a + 3b = 0
Solving
2a + 3b = 0
Move all terms containing a to the left, all other terms to the right.
Add '-3b' to each side of the equation.
2a + 3b + -3b = 0 + -3b
Combine like terms: 3b + -3b = 0
2a + 0 = 0 + -3b
2a = 0 + -3b
Remove the zero:
2a = -3b
Divide each side by '2'.
a = -1.5b
Simplifying
a = -1.5b
Solution
a = {b, -1.5b}
Step-by-step explanation:
jackie bought 15 cookies for $3 . How much will she have to pay for 35?
Step-by-step explanation:
15=3
35=x
15x=3×35
x= 3×35÷15
x=105÷15
x=7
i need help ill give uh 15?
Answer:
The answer is b- 1/4 = 4 3/4
Step-by-step explanation:
B stands for the total amount of chocolate bars they started with.
Gabby ate 1/4 of those chocolate bars.
4 3/4 of the chocolate bars were left after that.
So, total amount of bars - what Gabby ate = chocolate bars that are left
b - 1/4 = 4 3/4
50 POINTS
ASAP ANSWER
15.3
21. A squirrel is standing on the branch of a tree. The angle of elevation from a point on the ground to the squirrel
is 48°. The ground distance from the point to the tree is 28ft. How high above the ground is the squirrel?
Round your answer to the nearest foot.
48⁰
28 ft
21
Answer:
The height of the squirrel is 31 feet.
Step-by-step explanation:
You need to know your Right Triangle Trigonometry to do this problem.
Rt Triangle trig is all about ratios. Angles and ratios.
In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.
tan Angle = opposite/adjacent
tan 48° = x/28
multiply both sides by 28
28•tan48° = x
You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"
Enter 28 × tan48° =
It will return 31.0971504152
Your question asks you to round to the nearest whole.
x = 31
The squirrel's height in the tree is 31ft.
13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
Diego buys water bottles for his softball team, he buys 7 cases, each with t bottles. Diego buys a total of 168 bottles. Create an equation that models this situation, where t represents the number of bottles per case purchased
Find slope of (- 6,1)and(8,-7)
The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.
What is the slope of the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Point A: ( -6,1 )
x₁ = -6
y₁ = 1
Point B: ( 8,-7 )
x₂ = 8
y₂ = -7
Now, plug the given x and y values into the slope formula above and simplify:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)
Therefore, the slope of the line is -4/7.
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Find the slope of the line through the following points
(3,-20) and (5,8)
m =
Answer: m=14
Step-by-step explanation:
To find the slope, we use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). Since we are given 2 points, we can use those points to plug in.
\(m=\frac{8-(-20)}{5-3} =\frac{28}{2} =14\)
Our slope is m=14.
What is the slope of the following line?
Answer:c, the answer is c
Step-by-step explanation:
how many points need to be removed from this graph so that it will be a function?
1 point
2 point
3 points
0 points
The number of points to be removed from the graph is 2
How many points to be removed from the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
From the graph, we can see that
2 points have the same y coordinates
Another 2 points have the same y coordinates
For it to be a function, one of the 2 points must be removed each
So, we have the number of points to be removed from the graph is 2
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A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
SOMEONE PLSS HELP ASAP