What is the slope of a line that is perpendicular to the line y=2x+3?
Answer: -1/2
Step-by-step explanation: whenever a line is perpendicular you take the opposite reciprocal of the current slope.
Hello!
Perpendicular lines have slopes that are opposite reciprocals.
It means we take a number, flop it over and then make it negative.
So if we have 2, we flop it over:
\(\frac{1}{2}\)
Then, we make it negative:
\(-\frac{1}{2}\)
That is the slope. Hope it helps
If you have any query, please ask me! :)
~A forlorn girlie
\(MagicalNature\)
an bag contains 4 pink balls, 9 purple balls, and 2 white balls. three balls are selected, one after the other, without replacement. find the probability that all three balls are purple.
The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.
To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:
P(A and B and C) = P(A) x P(B|A) x P(C|A and B)
where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.
The probability of drawing a purple ball on the first draw is:
P(A) = number of purple balls / total number of balls = 9 / 15
After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:
P(B|A) = number of purple balls left / total number of balls left = 8 / 14
After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:
P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13
Therefore, the probability of drawing three purple balls in a row is:
P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%
So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.
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4.2 Puzzle Time
What Did The Wall Say To The Bookcase?
"He said he thic," the wall says to the bookcase.
What about the Puzzle Time?A mathematical or numerical puzzle is one that requires strong mathematical reasoning, thought, or consideration to solve. Mathematics is the study of abstract concepts such as numbers, shapes, quantity, space, and change. Young children can investigate key early math concepts such as shapes, sizes, and how and where one puzzle piece fits with another to form pictures or designs using puzzles. Spatial reasoning is required for this type of math. Number puzzles follow a set of rules; you must first figure out the pattern before answering the puzzle.Therefore, "He said he thic," is the correct answer.
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questions in photo pls help me its due tomorrow.
Step-by-step explanation:
Hey there!
Given;
\( {2}^{4x - 1} =32 \)
\( {2}^{4x} . {2}^{ - 1} = {2}^{5} \)
\( {2}^{4x} . \frac{1}{2} = {2}^{5} \)
\( {2}^{4x} = {2}^{5} . {2}^{1} \)
\( {2}^{4x} = {2}^{6} \)
\(4x = 6\)
\(x = \frac{6}{4} \)
\(x = \frac{3}{2} \)
7.)
\( \sqrt{x} - 3 = 7\)
\( \sqrt{x} = 7 + 3\)
\(( { \sqrt{x}) }^{2} = {(10)}^{2} \)
X= 100
8.)
\(( {x + 1)}^{2} = 81\)
\((x + 1) = \sqrt{81} \)
\(x + 1 = \sqrt{ {9}^{2} } \)
\(x + 1 = 9\)
\(x = 9 - 1\)
X=8
Hope it helps...
How can I make this, It says It was 15 mitues to get to her grandmothers house. 15 mintues is also 1/4 of an hour. into one of these miles/hours = ? mph
I know it's confusing but PLEASE help it's due by today!!
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Jordan rides a bike at 8&2/3 mph. How many miles will he bike in 3 hours and 6 mins?
The distance Jordan will bike in 3 hours and 6 minutes is approximately 28.33 miles.
In order to find the distance that Jordan will bike in 3 hours and 6 minutes, we need to use the formula;distance = speed × timeGiven that Jordan rides a bike at 8&2/3 mph, we convert the speed into an improper fraction.8&2/3 = 8 + 2/3 = 24/3 + 2/3 = 26/3 mphSubstituting the values given into the formula;distance = 26/3 × 3.1 (3 hours and 6 minutes converted to hours)= 26/3 × 3 1/17= 26/3 × (52/17)= 28.33 miles (approx.)
Therefore, Jordan will bike approximately 28.33 miles in 3 hours and 6 minutes.
Given that Jordan rides a bike at 8&2/3 mph, we can calculate how many miles he will bike in 3 hours and 6 minutes by using the formula;distance = speed × timeThe first step is to convert the speed given into an improper fraction.8&2/3 = 8 + 2/3 = 24/3 + 2/3 = 26/3 mphTo find the distance that Jordan will bike in 3 hours and 6 minutes, we need to convert the time given into hours.3 hours and 6 minutes is equivalent to 3.1 hours (We divide the minutes by 60 to convert them into hours; 6/60 = 0.1).Substituting the values given into the formula;distance = 26/3 × 3.1 (3 hours and 6 minutes converted to hours)=\(26/3 × 3 1/17= 26/3 × (52/17)= 28.33 miles\)(approx.)
Therefore, Jordan will bike approximately 28.33 miles in 3 hours and 6 minutes.
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Audrey is 4 years younger than her husband. Their total age is 154. What are their ages?
Answer: Audrey is 75 And husband is 79
Step-by-step explanation: A = H - 4
A + H = 154
a certain corner of a room is selected as the origin of a rectangular coordinate system. if a fly is crawling on an adjacent wall at a point having coordinates (1.5, 1.3), where the units are meters, what is the distance of the fly from the corner of the room?
The distance formula to get the distance of the fly from the corner of the room in meters is 1.985 meter.
Distance formula -
The distance formula is given by the equation -
\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)
\(where , (x_1, x_2)\) and \((y_1,y_2)\) are two given points.
Apply the distance formula to get the distance of the fly from the corner of the room in meters.
Now,
\(x_1 ,y_1\) are form the origin,
Given:
\((x_2,y_2) =(1.5,1.3)\)
By using the equation ,
\(d=\sqrt{ (x2-x1)^{2} +(y2-y1)^{2} \\\)
\(\\d = \sqrt[2]{(1.5^{2} -0^{2})+ (1.3^{2}-0^{2} ) }\)
\(d=\sqrt{(2.25+1.69)\\\\d=\sqrt{\frac{225}{100} +\frac{169}{100} } \\d=\sqrt{\frac{394}{100} } \\d=\frac{\sqrt{394} }{10} \\\\\)
Root value of 394,
\(\sqrt{394}\) = 19.85
\(d= \frac{19.85}{10} \\\\d=1.985\) metre.
Therefore, the distance formula to get the distance of the fly from the corner of the room in meters is 1.985
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The graph below shows the time Andrea spent reading one day. Write a few sentences to describe the relationship between the time Andrea spent reading and the number of pages she read.
Answer:
the more pages she read, the more time she read for.
Step-by-step explanation:
How do I solve this equation and check the solutions?
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
\(\sqrt{3x} = x-6\)
raise both sides to the index of the radical in this case 2
\((\sqrt{3x} )^{2} = (x-6)^2\)
\(3x = (x-6)^2\)
foil the right hand side or multiply (x-6)(x-6)
\(3x = x^{2} -6x-6x+36\)
subtract 3x from both sides and combine like terms
\(0=x^{2} -15x+36\)
factor
\(0=(x-12)(x-3)\)
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
\(\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16\) \(\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7\)
So the only solution is 12.
Find M a
A.
49
B.
35
C.
95
D.
275
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
You start at (7, 10). You move right 2 units and down 4 units. Where do you end?
For GJ in triangle GHJ, what is the corresponding segment in similar triangle HIJ?
IJ
How?
In triangle GHJ <H is right angle
So GJ is the hypotenuse.Now
in triangle HIJ
<H=90°IJ is the hypotenuse
So option A is correct
The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is, 'JI'.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
⇒ Δ GHJ ≈ Δ HIJ
By the figure, we have;
In ΔGHJ, Side GJ is opposite side of the right angle.
And, In Δ JHI, Side JI is opposite side of the right angle.
Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.
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In your own words, explain the discriminant test on page 600 in your ebook. Use the discriminant test to decide whether the equation represents a parabola, ellipse or a hyperbola and explain why you know this is true. 2 х 4xy + 3x + 25y – 6 = 0
Using the discriminant test to decide what the equation represents, we know that it represents a Hyperbola.
How does it represent a hyperbola ?The discriminant is a value that can be calculated from the coefficients of the quadratic equation that represents the conic section. The value of the discriminant tells us whether the conic section is a parabola, an ellipse, or a hyperbola.
To use the discriminant test, we first need to write the quadratic equation in standard form. The equation 2x + 4xy + 3x + 25y – 6 = 0 can be rewritten in standard form as follows:
(2x + 3)(y + 2) = 6
The discriminant is:
b² - 4ac
Using the equation once more:
= 3²- 4(2)(-6)
= 9 + 48
= 57
Since the discriminant is greater than zero, we know that the conic section is a hyperbola.
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select the appropriate formula for the surface area of the given figure
Answer:
The answer is A
Step-by-step explanation:
This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2
Find the test average for test grades or 80, 90, 85, 96.?
Answer:
87.75 or 88
Step-by-step explanation:
To find the average you add the variables together
80+90+85+96=351
And then you take that number and divide by how many variables there are
351÷4=87.75 and you can round up to 88 if you want.
Hope this help!
What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees
Answer:
m∠BCD = 82°
Option A
Step-by-step explanation:
The opposite angles of quadrilateral inscribed in a circle are supplementary.
i.e m∠A +m∠C = 180°
or, m∠BAD + m∠BCD= 180°
or, 98° + m∠BCD = 180°
or, m∠BCD = 180°-98°
or,m∠BCD = 82°
Answer: A - 82
Step-by-step explanation:
180 - 98 = 82
took the test and got it right.
2 – Efetue:
a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)
preciso disso pra agora
A) \(7x(-5)\)
A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: \((+) x (-)=(-)\)
\((7x5)\)
Multiplique os valores
\(-35\)
resposta para A: \(-35\)
B)\((-9)x(-8)\)
A multiplicação dois números negativos resulta em um numero positivo : \((-)x(-)=(+)\)
\(9 x 8\)
Multiplique os valores
\(72\)
Resposta para B :\(72\)
C)\((-15) : 5\)
A divisão de um numero negativo por um positivo resulta em um numero negativo: \((-):(+)=(-)\)
\(-(15:5)\)
Divida os números
\(-3\)
Resposta para C: \(-3\)
D) \(125 : 25\)
Divida os números
\(5\)
Resposta para D: \(5\)
POR FAVOR ME MARCA BRAINLIEST
hhhhhhhhhhhhhhhhhhhhh
Answer:it should be b!
Step-by-step explanation:
I’m pretty sure I had the question before
Solve given initial-value problem. The DE is a Bernoulli equation. x^2 (dy/ dx ) - 2xy = 6y^4, y(1)= .25
y = (0.25 e^(1/9) + e^(1/3) - e^(x^2/3))/e^(x^2/9) is the solution to the initial value problem.
Solving initial-value problem using Bernoulli's equation.The given differential equation is a Bernoulli equation of the form:
dy/dx + P(x)y = Q(x)y^n
where n is a constant not equal to 1. In this case, n = 4.
To solve the given differential equation, we first need to convert it to a linear equation by making the substitution:
z = y^(1-n) = y^-3
Then, we have:
dz/dx = (1-n)y^(-n) dy/dx = -3y^(-4) dy/dx
Substituting z and dz/dx into the differential equation, we get:
-3x^2 dz/dx - 6xz = 6
Simplifying and dividing by -3, we get:
x^2 dz/dx + 2xz/3 = -2
This is a linear differential equation, which we can solve using an integrating factor:
IF = e^(∫2x/3 dx) = e^(x^2/3)
Multiplying both sides of the differential equation by the integrating factor, we get:
d/dx [e^(x^2/3) z] = -2e^(x^2/3)
Integrating both sides with respect to x, we get:
e^(x^2/3) z = -3e^(x^2/3) + C
where C is the constant of integration.
Substituting back for z = y^-3, we get:
y^-3 e^(x^2/3) = -3e^(x^2/3) + C
Solving for y, we get:
y = (C - e^(x^2/3))/e^(x^2/9)
Using the initial condition y(1) = 0.25, we get:
0.25 = (C - e^(1/3))/e^(1/9)
Solving for C, we get:
C = 0.25 e^(1/9) + e^(1/3)
Therefore, the solution to the given initial-value problem is:
y = (0.25 e^(1/9) + e^(1/3) - e^(x^2/3))/e^(x^2/9)
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Encuentra el valor de q.
5q–4q=9
Answer: Q = 9
5q - 4q = 9 (Combine like terms)
q = 9
Step-by-step explanation:
How many 7 digit phone numbers are possible if the first digit must be non-zero? write your answer in scientific notation.
If the first number is not allowed to be "0", we will have that the aviable numbers will be:
\(1,2,3,4,5,6,7,8,9\)So, we will have 9 posibilites, now:
First, we will have that the biggest number of 7 digits that we will be able to write will be 9 999 999 and the smallest is 1 000 000.
Now, we will have that the total number of aviable values is:
\(9999999-1000000=8999999\)Then, the total number of possible is:
\(8.999999\cdot10^6\)According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?
A. 34% and 40%
B. 23% and 26%
C. 17% and 26%
D. 25% and 27%
E. 34% and 26%
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.
In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.
Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.
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There are 16 ties on each rack.
Write an equation to find the total number of ties.
(Let t = ties and r = racks.)
Answer:
T(r) = (16 ties/racks)r
Step-by-step explanation:
Total number of ties = (16 ties/rack)(number of racks), or
T(r) = (16 ties/racks)r
please give a step by step ASAP
The correct option is the fourth one, the slope and y-intercept are different.
Which statement is correct?Here we have the linear equation:
3x - 5y = 4
We know that it is dilated by a scale factor of 5/3, so let's find the dilation.
We can rewrite the linear equation as:
-5y = 4 - 3x
y = (3/5)x - 4/5
Now let's apply the dilation:
y = (5/3)*[ (3/5)x - 4/5]
y = x - 4/3
Then we can see that the slope and the y-intercept are different, the correct option is 4.
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3x + 2y = 1 4x + 3y = -2 Elimination
Answer:
x=7 y=-10 this is ur answer
i need answ for these two
16) Let ƒ(x)=−2(x−1)(x+2)² (x+5)³. a. Find the zeros of f(x). [2 pts] [2 pts] b. Give the multiplicity of each zero. c. State whether the graph crosses the x-axis, or touches and turns around,
The values of the independent variable for which a function evaluates to zero are referred to as a function's zeros, roots, or solutions. In other terms, a number x such that f(x) = 0 is a zero of a function f(x). Finding a function's zeros is comparable to figuring out the solution to the equation f(x) = 0.
Let ƒ(x)=−2(x−1)(x+2)² (x+5)³.
Find the zeros of f(x) and give the multiplicity of each zero.
a. To find the zeros of the function, we have to set ƒ(x) equal to zero. So, we get
x-2(x - 1)(x + 2)²(x + 5)³ = 0
Since the function is in factored form, we can use zero product property to solve for
x.-2 = 0,
(x - 1) = 0, (
x + 2)² = 0, and
(x + 5)³ = 0. Thus, we get:
x = 1,
x = -2 (multiplicity 2), and
x = -5 (multiplicity 3). Therefore, the zeros of the function are:
x = 1,
x = -2, and
x = -5.
b. Multiplicity of each zero of the function is the power of the factor of the zero. The multiplicity of x = 1 is 1.
The multiplicity of x = -2 is 2.
The multiplicity of x = -5 is 3.
c. Since the multiplicity of x = -2 is even, the graph touches the x-axis and turns around. And since the multiplicity of x = 1 is odd, the graph crosses the x-axis at x = 1. And since the multiplicity of x = -5 is odd, the graph crosses the x-axis at x = -5.
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Of two piles of stones, one contains 7 stones, and the other 5. Players alternate taking any number of stones from one of the piles, or an equal number from each pile. The player who cannot move loses. Who will win and how
The player who will win, based on the number of stones and the piles would be Player 1.
How to find the winning player ?In this game, a player would win if they force their opponent to face two equal piles at the end of their turn. Once two equal piles are achieved, whatever move the opponent makes, the player can mimic on the other pile to maintain two equal piles, ultimately leaving the opponent with no valid moves.
The strategy to win from the starting position of piles with 7 and 5 stones:
Player 1 (P1) starts the game and takes two stones from the pile with 7 stones, leaving piles of 5 and 5. Now, no matter what Player 2 (P2) does, P1 can always mimic the move on the other pile.For example, if P2 takes two stones from one pile, leaving the piles as 3 and 5, then P1 can also take two stones from the pile with 5 stones, leaving the piles as 3 and 3. If P2 takes one stone from each pile, leaving the piles as 2 and 2, then P1 can also take one stone from each pile, leaving the piles as 1 and 1.
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Analyze the conditional statement below and complete the instructions that follow.
If you break it, then you buy it.
Identify the contrapositive of the conditional statement.
If you buy it, then you break it.
If you did not break it, then you did not buy it.
If you buy it, then you did not break it.
If you did not buy it, then you did not break it.
Answer:
If you did not break it, Then you did not by it.
Step-by-step explanation:
in 2007 in the united states there were approximately 480 cars for every 1,000 people. the total number of cars in the united states in 2007 was closest to
Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.
Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.
The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.
Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.
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