Answer:
[tex]\large\boxed{5(x+y)-3\left(\dfrac{y}{x}\right)=5x+5y-\dfrac{3y}{x}}[/tex]
Step-by-step explanation:
[tex]5(x+y)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5x+5x\\\\3\left(\dfrac{y}{x}\right)=\dfrac{3y}{x}\\\\5(x+y)-3\left(\dfrac{y}{x}\right)=5x+5y-\dfrac{3y}{x}[/tex]
How does the graph of g(x)=3x-2 compare to the graph of f(x)=3x
Answer:
Step-by-step explanation:
the graph of f(x)=3x becomes the graph of g(x)=3x-2 if the entire graph of f(x) = 3x is translated down by 2 units.
the product of 34 and the number of pounds
Answer:
34n
Step-by-step explanation:
The product of 34 and the number of pounds
The product means multiply
So the product of 34 and the number of pounds = 34 × n = 34n
The question involves mathematical conversion of units from pounds to ounces and calculating percent composition. Multiplying by 16 converts pounds to ounces, while percent composition is found by dividing the mass of the component by the total mass and then multiplying by 100. Exact numbers, like the number of bags, do not affect significant figures.
The student appears to be dealing with a conversion problem within a mathematics context, specifically involving the units of pounds and ounces. When converting from a larger unit (pounds) to a smaller unit (ounces), the correct operation is multiplication since there are 16 ounces in one pound. A clear example of this is provided where 4.5 pounds, written as 4(1/2) pounds, is converted to ounces resulting in 72 ounces.
Furthermore, the problem addresses the percent composition of a substance by mass, which is a concept commonly encountered in chemistry but framed here within a mathematical question. Using the provided formula and mass values, we calculate the percent composition by dividing the mass of the desired product by the total mass of the product and then multiplying by 100 to get a percentage. The percentages indicate the fraction of the total mass that is made up of a specific component. The key information given in the example is that the mass of the desired product is 73.0, and the total mass of the product is 215, therefore, the percent composition is 34.0%.
Lastly, the question states that because the number of bags is an exact value, it is not considered in the significant figures. This means we are not to worry about the precision of measurement when it comes to counting items, which is a principle applied to exact numbers in significant figure rules.
Wayne is at a basketball practice preparing to shoot three pointers. The probability of wine making a three pointer is 21%. What is the probability he makes his first three pointer on the fourth shot.
A. 8%
B. 10%
C. 15%
D. 17%
Answer:
The answer is A. Was this a test question or a normal lesson?
Step-by-step explanation:
Answer:
the correct answer is B. 10%
Step-by-step explanation:
From the given question, we recall the following,
The probability of Wayne making a three pointer = 21%
Now, what is the the probability he makes his first three pointer on the fourth shot.
The next step is to find a solution to the question
The probability of not shooting a 3 pointer is 1- 0.79 = 1-p=q
All the throws of wayne are independent of each other
If two or ore event are independent we have,
P (AnB) = P(A) * P(B)
P (AnBnC) = P(A) *P (B) *P (C)
P (AnBnCnD) = P(A) * P(B)* P(C) *P(D)
Now, let make first 3 pointer on the 4th shot, we have:
q³= p (0.79)³ (0.21) =10% or (1-0.21) x (1-0.21)x (1-0.21) x 0.21=(0.79) x (0.79) x (0.79) x(0.21)=0.1
which is =10%
Solve the system and round to the nearest hundredth. Enter the
smallest x coordinate first.
{x + y = 50 {xy = 300
Answer:
Step-by-step explanation:
xy = 300
x + y = 50 Solve for y
y = 50 - x substitute into xy = 300
x(50 - x) = 300 Remove the brackets.
50x - x^2 = 300 Bring the left to the right.
0 = x^2 - 50x + 300
This is a quadratic. It will have 2 solutions.
a=1
b = - 50
c = 300
Put these into the quadratic equation.
It turns out that x has two values -- both plus
x1 = 42.03
x2 = 6.97
x1 + y1 = 50
42.03 + y = 50
y = 50 - 42.03
y = 7,97
(42.03 , 7.97)
====================
x2 + y2 = 50
6.97 + y2 = 50
y2 = 50 - 6.97
y2 = 43.03
(6.97 , 43.03)
Answer:
x ≈ 6.97, y ≈ 43.03; x ≈ 43.03, y ≈ 6.97
Step-by-step explanation:
System: x + y = 50, xy = 300
Alter 1st equation: y = 50 - x
Substitute: x(50 - x) = 300
Distribute: -x² + 50x = 300
Subtract: -x² + 50x - 300 = 0
Quadratic formula: x = (-50 ± √(2500 - 4 * -1 * -300))/(-2)
Simplify: x = (-50 ± √1300)/-2
Distribute: x = 25 ± (10√13)/-2
Simplify: x = 25 - 5√13 --> x ≈ 6.97, x = 25 + 5√13 --> x ≈ 43.03
Substitute: 6.97 + y = 50 --> y ≈ 43.03, 43.04 + y = 50 --> y ≈ 6.97
Brainliest + Points
Can someone please help?
See the attached picture.
The Y values would remain the same, the X values become the negative of the original values.
If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages? A. 16 B. 12 C. 64 D.
You would multiply outcomes 3 times to get the total number of elements in the sample space because the experiment has three stages.
4^3 = 64
Note: You can also multiply 4 three times.
Answer: C. 64
Step-by-step explanation:
We know that the number of total elements in the sample space is given by :_
[tex]N^n[/tex], where N is the number of total possible outcomes for an event and n is the number of times event is repeated.
Given: The number of equally likely sample outcomes of a single stage of an experiment = 4
The number of stages in the experiment = 3
Then , the total number of elements in the sample space :-
[tex](4)^3=64[/tex]
Hence, the total number of elements in the sample space = 64.
How many desserts are available?
4 desserts
The number of meals can be expressed by c * s * d = m, where c is main courses, s is salads, d is desserts, and m is meals.
Fill in the variables.
6 * 2 * d = 48
Simplify.
12 * d = 48
Divide both sides by 12.
d = 4
So, there are 4 desserts.
A teacher divided the class into two groups of equal size. 3/5 of the first group are right-handed. 80% of the second group are right-handed.
What fraction of the class is right handed??
Answer:
7/10
Step-by-step explanation:
To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.
The fraction of the class is right handed is 7/10
We have given that
80% of the second group are right-handed.
let's turn 80% into a fraction,
What is the fraction form of 80%?The fraction form of 80% can be calculated by dividing 80 by 100
So we get,
[tex]=\frac{80}{100} \\\\=\frac{8}{10}[/tex]
=8/10.
To get a common denominator let's turn
8/10 =4/5 .....(divide the numerator and denominator by 2)
Since they are both of equal size,
The first group would have 2/5 left-handed people and
The second 1/5 left-handed people.
Let's imagine that each group has 5 people in it.
There would be 10 people in total.
There is 1 person for each fifth so we can add now.
4 + 3 = 7 .....(1)
right handed people.
we can check it,
2 + 1 = 3 and 3 + 7 = 10. .........(2)
Therefore we get,
7/10 of the class is right-handed.
The fraction of the class is right handed is 7/10
To learn more about the fraction visit:
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Need help please.
Chantale wants to make a graph of her walk home from school yesterday.
A. She walked toward home from school.
B. She ran back to school to get a notebook she forgot.
C. She spent 2 minutes at school getting her notebook.
D. She walked all the way back home.
Drag a segment to each box to show the shape of the graph for that interval.
Answer:
See diagram below
Step-by-step explanation:
I added the picture but not sure if you can see it? Hope it helps!
Final answer:
Chantale's motion can be graphically represented on a position-time graph, with walking segments shown by lines with positive slopes, the running back segment by a line with a negative slope, and the stationary segment at school by a horizontal line.
Explanation:
The question pertains to plotting a graph of Chantale's motion as she moves to and from school, which is a concept from kinematics in physics. We can visualize her walk as a position-time graph, where each part of her travel (A to D) corresponds to a different segment of the graph.
A. Walking towards home: This would be represented by a line moving away from the origin (assuming the school is the origin) with a positive slope, showing that distance from school is increasing over time.
B. Running back to school: This segment of the graph will have a negative slope as Chantale moves closer to the origin (school).
C. Spending 2 minutes at school: During this time, her position does not change, so the graph will show a flat, horizontal line indicating no movement.
D. Walking back home: This would again be a line with a positive slope as she moves away from the school to her house.
To encompass the entire journey, you would see a graph with segments that reflect these motions, and each segment would follow the order of actions A to D.
What are the zeros of the function f(x)=x^3+x^2-6x
PLEASE HELP ASAP!!
Answer:
A
Step-by-step explanation:
Given
x³ +x ² - 6x ( to find the zeros equate to zero ), that is
x³ + x² - 6x = 0 ← factor out x from each term
x(x² + x - 6) = 0
To factorise the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
3 × - 2 = - 6 and 3 - 2 = + 1, hence
x(x + 3)(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
The zeros are x = - 3, x = 0, x = 2 → A
7. Jackie has one red pencil, one yellow pencil, one blue pencil,
one green pencil, one orange pencil, and one purple pencil. She
also has one red pen, one blue pen, and one black pen. If Jackie
randomly selects one pencil and one pen, what is the probability
that she will select a purple pencil and a black pen in that order?
Answer:
I believe it is 1/6 for the pencil and 1/3 for the pen. Altogether, 2/9.
Step-by-step explanation:
There is 1 purple pencil out of 6 and 1 black pen out of 3.
Using probability of independent events, it is found that there is a [tex]\frac{1}{15}[/tex] probability that she will select a purple pencil and a black pen in that order.
A probability is the number of desired outcomes divided by the number of total outcomes.
If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
The pencil and the pen are independent.One of the five pencils are purple, thus [tex]P(A) = \frac{1}{5}[/tex].One of the three pens are black, thus [tex]P(B) = \frac{1}{3}[/tex].The probability is:
[tex]P(A \cap B) = P(A)P(B) = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15}[/tex]
[tex]\frac{1}{15}[/tex] probability that she will select a purple pencil and a black pen in that order.
A similar problem is given at https://brainly.com/question/23855473
Find the volume of the cone. Use u = 3.14. Round to the nearest hundredth.
785.0 cm
7850.0 cm
2616.67 cm
261.67cm
Answer:
261.67 cm³Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have r = 10cm and H = 25 cm.
Substitute:
[tex]V=\dfrac{1}{3}\pi(10^2)(25)=\dfrac{1}{3}\pi(100)(25)=\dfrac{250\pi}{3}\ cm^3[/tex]
[tex]\pi\approx3.14\to V\approx\dfrac{(250)(3.14)}{3}\approx261.67\ cm^3[/tex]
I need help with this
What is the absolute value of
|-14|
|-16|
Answer:
14 and 16
Step-by-step explanation:
absolute value of a negative is the positive
Answer:
Answer is 14 and 16.
Step-by-step explanation:
Absolute value is never negative.
Hope my answer has helped you!
Use DeMoivre's Theorem to write the complex number in standard form.
Answer:
A
Step-by-step explanation:
First express [tex]\sqrt{2}[/tex] + i[tex]\sqrt{2}[/tex] in trig form
| z | = [tex]\sqrt{(\sqrt{2})^2+(\sqrt{2})^2 }[/tex] = [tex]\sqrt{4}[/tex] = 2
Θ = [tex]tan^{-1}[/tex]( [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]) = [tex]tan^{-1}[/tex]( 1) = [tex]\frac{\pi }{4}[/tex]
Thus
[tex]\sqrt{2}[/tex] + i[tex]\sqrt{2}[/tex] = 2 [ cos[tex]\frac{\pi }{4}[/tex] + isin[tex]\frac{\pi }{4}[/tex] ]
Hence
([tex]\sqrt{2}[/tex] + i[tex]\sqrt{2}[/tex] )³
= 2³ [ cos ([tex]\frac{\pi }{4}[/tex] × 3) + isin([tex]\frac{\pi }{4}[/tex] × 3 ) ]
= 8 [ cos([tex]\frac{3\pi }{4}[/tex] ) + isin([tex]\frac{3\pi }{4}[/tex]) ] → A
The standard form of the give complex number is
8 [ cos(\frac{3\pi }{4} ) + isin(\frac{3\pi }{4}) ]
We have given that,
First express [tex]\sqrt{2} + i\sqrt{2}[/tex] in trig form
[tex]| z | = \sqrt{(\sqrt{2})^2+(\sqrt{2})^2 } = \sqrt{4} = 2[/tex]
[tex]\theta = tan^{-1}( \frac{\sqrt{2} }{\sqrt{2} }) = tan^{-1}( 1) = \frac{\pi }{4}[/tex]
Thus, [tex]\sqrt{2} + i\sqrt{2} = 2 [ cos\frac{\pi }{4} + isin\frac{\pi }{4} ][/tex]
What is the Demoivre's theore?[ r(cos θ + i sin θ) ]^n = r^n(cos nθ + i sin nθ)
Hence, [tex](\sqrt{2} + i\sqrt{2} )^3[/tex]
[tex]= 2^3 [ cos (\frac{\pi }{4} \times 3) + isin(\frac{\pi }{4} \times 3 ) ][/tex]
[tex]= 8 [ cos(\frac{3\pi }{4} ) + isin(\frac{3\pi }{4}) ] \implies A[/tex]
Thererefore the standard form of the give complex number is
8 [ cos(\frac{3\pi }{4} ) + isin(\frac{3\pi }{4}) ].
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Solve the inequality.
x + 11 > 2
Let's solve your inequality step-by-step.
x+11>2
Step 1: Subtract 11 from both sides.
x+11−11>2−11
x>−9
Answer:
x>−9
Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.
[tex]x \div y = 3 \div 5 \\ it \: means = \\ 3y = 5x \\ x - y = 18 \\ [/tex]
To solve we multiply the last equation by 5 and we get the following:
5x-5y=90
But 5x=3y and we replace it in this equation:
3y-5y=90
-2y=90
y=-45
and x-(-45)=18 , x+45=18
x=-27
018-2019) Q4
Describing the structure on the TTO
HE
Multiplying a trinomial by a trinomial follows the same
steps as multiplying a binomial by a trinomial. Determine
the degree and maximum possible number of terms for
the product of these trinomials: (x2 + x + 2)(x2 – 2x + 3).
Explain how you arrived at your answer.
Answer:
[tex]\boxed{\text{Degree = 4; Max. no. of terms = 5}}[/tex]
Step-by-step explanation:
(x² + x + 2)(x² – 2x + 3)
1. Degree of product
The degree of the product of two polynomials is the sum of their degrees.
Each polynomial is of degree 2, so the degree of the product is 4.
That is, the term of highest degree must come from x² × x² = x⁴.
2. Maximum number of terms
The maximum number of terms is one more than the degree of the product.
Thus, there is a maximum of five terms in the product: one for each power of x plus a constant term.
P = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
Two cars are 400 miles apart when they start moving towards each other. The speed of the first car is 30 mph. The second car moves 20mph faster than the first car. After how many our will the cars meet
Answer:
5 hr.
Step-by-step explanation:
this is because one car is moving at 30 miles an hour and the other at 30+20 miles an hour = 50mph. so after 1 hour one car would have gone 30 miles and the other 50 = 80 altogether not 400 yet. After 2 hours one car would have gone 60 miles and the other 100 = 160 not 400 yet. ECT... After five hours one car has gone 150 mile (30mph*5hr = 150miles) and the other 250miles (59mph*50hr = 250miles) = 400, since 150+250=400. Therefore it would take 5hr for the cars to meet. and crash ._.
Final answer:
The two cars traveling towards each other, one at 30 mph and the other at 50 mph, will meet after 5 hours, since their combined speed is 80 mph and they are 400 miles apart.
Explanation:
To solve the problem of when two cars moving towards each other will meet, we can use the concept of relative speed. The first car travels at 30 mph, and the second car travels at the faster speed of 50 mph (since it is 20 mph faster than the first car). The combined speed at which the two cars are moving towards each other is the sum of their individual speeds.
The formula for time is:
Time = Distance / Speed
Given that the two cars are 400 miles apart, and the combined speed is 30 mph + 50 mph = 80 mph, the time it takes for the two cars to meet is:
Time = 400 miles / 80 mph = 5 hours
Therefore, the cars will meet after 5 hours of travel.
The theoretical probability of an event occurring is 2/5
which best describes the experimental probability associated with this
A)Out of every 5 trials, the desired outcome will occur exactly 2 times
B)Out of every 5 trials the desired outcome will occur approximately 2 times
C)Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes
D)
Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes
Answer:
The answer is B. Hope this helped! c;
Step-by-step explanation:
Answer:
B)Out of every 5 trials the desired outcome will occur approximately 2 times
Step-by-step explanation:
The theoretical probability of an event occurring is 2/5. Which best describes the experimental probability associated with this?
The answer is -
Out of every 5 trials, the desired out come will be approximately 2 times.
Theoretical probability is based on reasoning. It is written as a ratio of the number of favorable outcomes to the number of possible outcomes.
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x = ____ km
Answer: [tex]x=56.5\ km[/tex]
Step-by-step explanation:
Given the right triangle in the image, you need to remember the following identity:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Observe the triangle. You can identify that:
[tex]\alpha=28\°\\adjacent=x\\hypotenuse=64[/tex]
Then, knowing these values, you can substitute them into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:
[tex]cos(28\°)=\frac{x}{64}[/tex]
Finally, you have to solve for "x".
Therefore, the value of "x" rounded to the nearest tenth is:
[tex]64*cos(28\°)=x\\x=56.5\ km[/tex]
2x+3y= 15
x+y= 6
wor out the values of "x" and" y"
Answer:
x = 3 and y = 3
Step-by-step explanation:
2 x + 3 y = 15 { Equation 1 }
x + y = 6 { Equation 2 }
( Multiply the x variable by 2 so equation 1 and 2 have the same x variable )
2 x + 3 y = 15 { Equation 1 }
2 x + 2 y = 12 { Equation 2 }
( Minus equation 2 from 1 so we are left with an independent variable )
y = 3
( Substitute y = 3 into equation 1 to solve for x )
2 x + 9 = 15
( Solve )
2 x + 9 = 15
[ Subtract 9 from both sides ]
2 x = 6
[ Divide by 2 from both sides ]
x = 3
Answer: x=3
y=3
Step-by-step explanation:
2x+3y=15
x+y=6
2x+3y=15
x=6-y
2(6-y)+3y=15
y=3
x=6-3
x=3
(3,3)
an electric motor makes 3000 revolution per minutes how many degrees does it rotate in a second
Answer: 18,000deg
Step-by-step explanation:
(3000rev/min)*(1min/60s)*(360deg/1rev)=18,000deg
Answer:
18,000
Step-by-step explanation:
We know that the electric motor makes 3000 revolutions in a minute/60 sec.
In one second, the motor makes 3000/60 revolutions.
In one second, the motor makes 50 revolutions.
∴ 1 revolution = 360 degrees
50 revolutions = 360 × 50 degrees
50 revolutions = 18,000 degrees
Ok I’m sorry I’m dumb but I really need help so if y’all can help me that would be amazing
Answer:
498
Step-by-step explanation:
38×12 + 7×6 = 498
don't worry!
Answer: B 498
Step-by-step explanation:12 times 38 because it is 12 eggs in each cartons plus 7 times 6 because she also bought 7 quail eggs equal to 498
Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis?
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite
we have
[tex]f(x)=2(0.4)^{x}[/tex]
The reflection of f(x) across the y-axis is equal to the function g(x)
[tex]g(x)=2(0.4)^{-x}[/tex]
The graph in the attached figure
The graph which best represents a reflection of f(x) across the y-axis is; f(x) = 2(0.4)^-x.
[tex]f(x) = 2(0.4)^{-x}[/tex]
What is the reflection of the graph of the function?A reflection of a point over the y -axis is given by a rule in accordance with mathematical convention. The rule in discuss for a reflection over the y -axis is (x,y)→(−x,y).
Hence, the reflection of the graph is given by the function; f(x) = 2(0.4)^-x.
[tex]f(x) = 2(0.4)^{-x}[/tex]
Read more on reflection of a graph;
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a box has a length of 12 inches and a width of 10 inches . If the volume of the box is 960 cubic inches. What is it's height?
length* width
12*10= 120
Volume /120
960/120=8
height is 8 inches
On monday ,248 students went on a trip to the zoo.All 4 buses were filled and 8 students had to travel in in cars. How many students were in each bus?
Answer:
60 students were in each bus.
Step-by-step explanation:
248-8=240
240 students rode on busses.
240/4= 60
60 students per bus.
248-8= 240 (taking away 8 because 8 of the students are not taking the bus)
240/4=60 (dividing the number we got by 4 because there are 4 busses)
i hope i helped :)
Which of the following represents the factored form of f(x) = x3 − 81x? f(x) = x(x − 9)2 f(x) = (x + 9)(x − 9) f(x) = x(x + 9)(x − 9) f(x) = x(x2 − 9)
Answer:
f(x) = x(x + 9)(x − 9)
Step-by-step explanation:
Answer: f(x) = x(x+9)(x-9)
Step-by-step explanation:
Can you help me solve for x? Thanks!
Answer:
A: x= -18, B: y= 10, C: x= 42, D: 14
Step-by-step explanation:
Note: The photo you used was hard to read, so I just assumed what the equations were.
A) x+14=-4
-14 -14
x=-18
B) y-14=-4
+14 +14
y=10
C) z/14=3
times 14 times 14
x=42
D) 2/7x=4
times 7/2 times 7/2
x=14
please help i will give brainliest!
Which statement is best represented by the inequality p>48?
1.The basketball team scored less than 48 points.
2.The basketball team scored 48 fewer points than last year’s team.
3.The basketball team scored greater than 48 points.
4.The basketball team scored exactly 48 points.
Answer:
2.
Step-by-step explanation:
The reason I say this one is because that equation say p is greater than 48 that is why,
Answer: Option number 3!