Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
Need to find shaded area of figure please help!
Answer:
39 ft^2
Step-by-step explanation:
Find the area of the triangle and subtract the area of the square.
area of triangle = bh/2
area of square = s^2
shaded area = bh/2 - s^2
shaded area = (20 ft)(16 ft)/2 - (11 ft)^2
shaded area = 160 ft^2 - 121 ft^2
shaded area = 39 ft^2
Paying into a retirement savings plan will increase taxable income, true or false
Answer:
true
Step-by-step explanation:
An object was launched off the top of a building. The function f(x)=−16x ^2+16x+96 represents the height of the object above the ground, in feet, x seconds after being launched. Find and interpret the given function values and determine an appropriate domain for the function.
f(-2) = 0, meaning that -2 seconds after the object was dropped, the object was 0 feet above the ground. This interpretation makes sense in the context of the problem.
f(0.5) = 100, meaning that 0.5 seconds after the object was dropped, the object was 100 feet above the ground. This interpretation makes sense in the context of the problem.
f(6) = -576, meaning that 6 seconds after the object was dropped, the object was -576 feet above the ground. This interpretation does not make sense in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is [-2, 0.5].
How to evaluate the function?Based on the information provided, the height h (in meters), of this object during its launching with respect to time can be modeled by this quadratic function:
f(x) = -16x² + 16x + 96
when x = -2, the height function is given by:
f(-2) = -16(-2)² + 16(-2) + 96
f(-2) = -64 - 32 + 96
f(-2) = 0.
When x = 0.5, the height function is given by:
f(0.5) = -16(0.5)² + 16(0.5) + 96
f(0.5) = -4 + 8 + 96
f(0.5) = 100 feet.
When x = 6, the height function is given by:
f(6) = -16(6)² + 16(6) + 96
f(6) = -576 + 96 + 96
f(6) = -384.
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What statement is true about the lines graphed from the equation? 8p = 12 - 2qq + 4p = 6
Both equations are having same slope, Hence they are parallel. Option B.
Proving:-
Let here p = y,
and x =q
Comparing with y = mx + c
1. 8p = 12 - 2q
y = 12/8 - 2/8q
y = - 2/8q + 12/8
slope = -1/4
2. q + 4p = 6
y = mx +c
4p = - q +6
p = -1/4q + 6/4
Slope = -1/4
In both equation the slope are same, So thet are parallel.
It shows two lines that each form a system of equations. If the graphs of the equations intersect there is a solution that applies to both equations. If the graphs of the equations do not intersect, there is no solution that fits both equations. Examine the graph to determine if the vertical line drawn intersects the curve more than once.
If there are lines like this the graph does not represent a function. If no vertical line crosses the curve more than once, the graph represents a function. To graphically solve a system of linear equations, plot both equations in the same coordinate system. is at the intersection.
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A paint manufacturer knows that ultraviolet light can degrade many types of paint. It wants to know which paint composition has the least amount of degradation under ultraviolet light. Three different paint compositions were tested. A wall in a windowed hallway of a paint manufacturing plant was divided into 18 sections, and each of the sections was randomly assigned to one of the three paint compositions. The wall sections were painted and then left to be exposed to sunlight. After 18 months of sunlight exposure, the walls were analyzed to determine the degree of change in pigment of the paint, and the results were compared between paint compositions. What are the individuals in this experiment?
This question uses the experimental study concept.
Doing this, we have that the walls analyzed are the individuals.
First, the concept of experimental study is presented:
Experimental study: In an experimental study, there is an intervention in the individuals, and it's effect is studied.In this question:
There is an intervention in the walls, they are painted, using three different paint compositions, and then they are exposed to sunlight, and after that the walls were analyzed, to study the degree of change in pigment of the paint, being compared between different paint compositions.
Thus, since the intervention was in the walls, they are the individuals in this experiment.
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A painter uses 1.2 liters of the paint to cover 1m2 of the wall.
How many square meters he can cover with 6.6 liters of paint?
12)/1.2=120/12=10m^2
4.8/1.2=48/12=4m^2
6.6/1.2=66/12=11/2=5.5m^2
this is another way you can do it
1. 12/1.2 times as much paint, so 12/1.2 times as much area.
2. 6.6/1.2 times as much paint, so 6.6/1.2 times as much area.
3. 4.8/1.2 times as much paint, so 4.8/1.2 times as much area.
1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
1.) A pipe bursts in your house and you call 2 plumbers for estimates. Plumber A says he
charges $40 to check the problem and $ 55 an hour to repair. Plumber B says he
charges $ 60 to check the problem and $ 40 an hour. If the repair takes 4 hours to
complete, which plumber would be a better option.
Answer: Plumber B
Step-by-step explanation:
Plumber A: First, multiply $55 times 4, then add the fee of $40. This will give you $260 as total. This is how much it would cost for Plumber A.
Plumber B: Multiply $40 by 4 and then add $60. This gives you $220, showing that Plumber B is a better option.
Answer:
Plumber B
Step-by-step explanation:
We could set up 2 expressions, and set the time to be 4 hours, and see which plumber costs less:
Plumber A: 40+55*4 = $260
Plumber B: 60+40*4 = $220
Plumber B is cheaper, so therefore he/she is the better option.
Tomatoes are on sale for $3 a pound. Lettuce costs $2 per head. Josie buys several pounds of tomatoes and one head of lettuce and wants to spend at most $20. How many pounds of tomatoes, x, can Josie buy?
Answer:
6 pounds of tomatoes.
Step-by-step explanation:
20-2=18$
18/3=6
So she bought 6 pounds of tomatoes.
Answer:
6pounds
Step-by-step explanation:
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
What is the probability of drawing to green cards if the first card is replaced before the second draw assume the first card drawn is a green
If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.
If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.
Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.
The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.
To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:
P(drawing two green cards) = 1 x 12/51
Simplifying this expression, we get:
P(drawing two green cards) = 12/51
Therefore, the probability of drawing two green cards is approximately 0.235.
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Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.05 signifcance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results should polygraph test results be prohibited as evidence in trials? identify the null hypothesis, alternative hypothesis, test statistic, P-value conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
a. H0:p= 0.80 b. H0:p=0.20
H1:p>0.80 H1: p =/ 0.20
c. H0:p=0.20 d. H0:p= 0.80
H1:p< 0.20 H1: p< 0.80
e. H0: p= 0.20 f. H0: p= 0.80
H1: p>0.20 H1:p =/ 0.80
the test statistic is z=
the P-value is ?
Answer:
H0:p= 0.80 H1: p< 0.80 one tailed test
Step-by-step explanation:
We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.
H0:p= 0.80 H1: p< 0.80 one tailed test
p2= 0.8 , p1= 74/97= 0.763
q1= 1-0.763= 0.237 q2= 0.2
The level of significance is 0.05 .
The Z∝= ±1.645 for ∝= 0.05
The test statistic used here is
Z= p1-p2/ √pq/n
Putting the values:
Z= 0.763 -0.8 / √ 0.8*0.2/97
z= -0.037/ 0.0406
z= -0.9113
The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.
As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.
Using the normal probability table.
P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762
If P- value is smaller than the significance level reject H0.
0.1762> 0.005 Fail to reject H0.
Discussion Topic
29
The most important component of a physical structure is a solid foundation on which the
rest of the structure sits. A strong foundation allows buildings to last longer and withstand
many outside forces.
Just like the foundation of a building, a strong foundation for algebra is critical for success
and allows you to extend your understanding to more complex mathematical and real-
world situations. What are some of the foundational, or key, concepts of algebra that you
have learned so far?
We have that with a brief introduction to Algebra you are required to You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you have learned so far and structure its respectively as you have learned
For This Question you are a asked to highlight what the are the foundational and key concepts of algebra
So you are tasked to refer to your Notes and pick out the foundational, or key, concepts of algebra that you have learned so far according to your curriculum.
Algebra
This is a branch of mathematics that strictly focuses on mathematical Operator or Arithmetic operators and how the are used in there variant ways or combined to solve problems.
Mathematical Operators(-,+,/,*)
To Identify some fundamental and key concepts of Algebra like there use in
ExpressionsEquationsUsed in Graph plotsUsed to resolve Inequalities on the Number line.These are Few key concepts where Algebras feature.In conclusion
You are to refer to your curriculum and teachings and discover the foundational, or key, concepts of Algebra that you have learned so far and structure its respectively as you have learned.
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Answer:
Some of the foundational key concepts I have learned from algebra so far are: we have learned Expressions, Equations, we have Used Graphs, we have learned how to resolve Inequalities on the Number line, I have learned how to do variables, constants, linear equations, and quadratic equations. those are just very few examples of things me and so many have learned so far in Algebra.
Step-by-step explanation:
what are product rule
The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.
What are the advantages and disadvantages of solving a system of linear equations graphically versus algebraically?
Answer:
Because it helps you to graph quickly, having both equations in Y= form makes this method useful. In contrast, if neither equation has Y isolated, you are better off using substitution or elimination.
Step-by-step explanation:
Can you please help me
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
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Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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A sales person starts working 40 hours per week at a job with 2 options for being paid . Option A is an hourly wage of $19. Option B is a commission rate of 8% on weekly sales.
How much does the sales person need to sell in a given week to earn the same amount with each option?
A. $9,500
B. $4,750
C. $760
D. $320
Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)
Now, according to option b, he will get 8% commission on weekly sales.
Let. x = the amount of weekly sales.
To earn the same amount of option A, he will have to equal the 8% of x to $760
So, \(\sf \dfrac{8x}{100}=760\)
Or, \(\sf 8x= 76000\)
Or, \(\sf x= \dfrac{76000}{8}=9500\)
the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.
Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
I think the answers 3048_&8_9_)_)_
which inequality describes the possible values of x? there are three triangles , triangle abc, triangle cde, and triangle efg. the points a, c , e, and g are collinear, points b, c, and d are collinear, and points d, e, and f are collinear. side ac, side ce, and side eg are congruent to each other. side ab, side de, and side ef are congruent to each other. the length of side bc is 12 and the length of side cd is 10. the measure of angle bac is 50 degrees and the measure of angle dec is (5x-10) degrees. a. 2 < x < 5 b. 2 < x < 10 c. 2 < x < 12 d. 2 < x < 22
The inequality that describes the possible value of x is
c. 2 < x < 12How to find the value of xThe triangles described gave the information to form the inequality equation
from the description it can be deduced that
m< bca = m< dce vertical angles
since side 12 is greater than 10 then m< bac > m< dec
therefore 50 > 5x - 10
solving for x
50 > 5x - 10
50 + 10 > 5x
60 > 5x
x < 12
therefore 2 < x < 12 is the inequality that represents x
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a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.
Answer:
Step-by-step explanation:
(pls pls help!!) Calculate each value for ⊙P.
=
Area of shaded factor = (fraction) ft
Area of unshaded factor = (fraction) ft
The area of the shaded sector is 575π/9 square units.
The area of the unshaded sector is 325π/9 square units
What is the area of the sectors?
The value of the angle subtended by the unshaded sector is 130⁰ the value of the angle subtended by the shaded sector is 230⁰.
To find the area of a sector with radius 10 units and angle 230⁰, we can again use the same formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (230/360) x π(10)²
= (23/36) x 100π
= 575π/9 square units
To find the area of a sector with radius 10 units and angle 130⁰, we can use the formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (130/360) x π(10)^2
= (13/36) x 100π
= 325π/9 square units
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8 cm
6 cm
60°
What is the area of the parallelogram?
O 48 3 cm 2
O 48 cm2
O 24 v cm2
O 24 cm 2
The area of the parallelogram is calculated as 24√3 cm²
What is the area of parallelogram?The area of a parallelogram can be calculated by multiplying the base and height with the angle.
This can be represented mathematically as;
Area = absinθ
where a and b are the side lengths of the parallelogram
Substituting the values into the formula;
A = 8 * 6 * sin 60
A = 24√3 cm²
The parallelogram has an area of 24√3 cm²
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2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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The list shows the number of pages in various novels: 286,295,307,241,396,368 what is the range
Answer:
155
Step-by-step explanation:
You must first subtract the lowest number (241) from the highest number (396) Then you get 155! I hope this helps!
A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is
considering how to split up the area. Which statements about the formulas for finding areas are true? Check all that
apply
The triangle and trapezoid area formulas have in them.
The parallelogram and rectangle formulas are both the same.
In the parallelogram formula, the bases are added.
In the trapezoid formula, the bases are added.
1
In the triangle formula, the sides are added, then multiplied by
NI
A change in pressure on the eardrum occurs when a pure musical tone is played. For some
tones, the pressure on the eardrum follows the sine curve
2/14
where is the pressure in pounds per square foot at time t second, and is the frequency of
the sound wave in cycles per second When p() is positive, there is an increase in pressure
and the eardrum is pushed inward: when p() is negative there is a decrease in pressure and
the eardrum is pushed outward.
(a) Graph the pressure on the eardrum for Middle C, which has a frequency of / 261.63
H. (ie, cycles per second), for between 0 and 0.005, i.e., [0, 0.005).
(1) Determine the period, denoted by 7 of p(6). What is the relationship between the period
and the frequency of the tone?
Answer:
a) see attached
b) period = 1/f ≈ 3.822 ms
Step-by-step explanation:
Apparently the pressure formula is ...
\(p(t)=0.004\sin{\left(2\pi ft+\dfrac{\pi}{7}\right)}\)
__
a) A graph of this for f=261.63 is shown in the attachment.
__
b) The period is the time T required to change the sine function argument by 2π:
2πfT = 2π
T = 1/f . . . . . . divide by 2πf
The period is the reciprocal of the frequency.
The period of the tone is 1/(261.63 Hz) ≈ 3.822·10^-3 s
what are you guys studying?
Answer:
im study about history it was my favourite subject!