Answer:
If we have two functions g(x) and f(x)
I suppose that the functions here are:
f(x) = 2 - √(4*x)
g(x) = -3*x
First, let's analyze the functions:
g(x) as not any problem for any value of x, so the domain is the set of all the real numbers.
f(x) has a square root on it, and we know that the square root of a negative number is equal to a complex number, so here we can not have negative values of x.
The domain of f is D = x ∈ {0, ∞}
Then (gof)(x) = g(f(x)) = -3*(2 - √(4*x)) = -6 + 3*√(4*x)
We can see that g(x) does not have any problem, and the problems with f(x) remain there, so the domain of the composition is equal to the domain of f(x):
D = x ∈ {0, ∞}
6th-grade math, fill out the table! :)
Answer:
21 wins, table is attached.
Step-by-step explanation:
The ratio of 7 wins to 2 losses is 7:2. A ratio is just saying that every time one value is increased by 7, the other is increased by 2.
So we can fill out the table, in every iteration wins increases by 7 and losses increases by 2.
When we fill this out, we find that when losses is 6, wins is 21, so when you have 2 losses you have 21 wins.
Hope this helped!
What linear function defines the following Arithmetic Sequence?
-8, -4, 0, 4, 8, ...
A : an = -8 + 4(n - 1)
B : an= 8 + 4(n - 1)
C : an = -8 - 4(n - 1)
D : an = 8 - 4(n - 1)
The linear equation defines the arithmetic sequence is an = -8 + 4(n - 1). The correct option is A.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that, the sequence is -8, -4, 0, 4, 8, ...
a = -8
d = +4
The expression for the nth term will be written as,
an = a + ( n - 1 ) d
= -8 + ( n - 1 ) 4
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Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample of size 722 with a mean of 54.2 and a standard deviation of 13.1 at a confidence level of 90%.
Answer:
[tex]MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\[/tex]
Step-by-step explanation:
Since the sample size is quite large, we can use the z-distribution.
The margin of error is given by
[tex]$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $[/tex]
Where n is the sample size, s is the sample standard deviation and [tex]z_{\alpha/2}[/tex] is the z-score corresponding to a 90% confidence level.
The z-score corresponding to a 90% confidence level is
Significance level = α = 1 - 0.90= 0.10/2 = 0.05
From the z-table at α = 0.05
z-score = 1.645
[tex]MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\[/tex]
Therefore, the margin of error is 0.776.
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What multiplicative rate of change should Hal use in his function? 0.02 0.98 1.02 1.98
Step-by-step explanation:
Hal is expected to use 0.98, the reason is that 2% of $10,000 will give $200
i.e (2/100)*10,000= $200.
therefore 10,000-200= $9800.
Since the money is decreasing by 2%, we have 100-2= 98% = 0.98
hence when 10,000 is multiplied by 0.98 we have $200 which is 2% of $10,000
Answer:
It's B.
Step-by-step explanation:
I just took the test.
What is the square root of -16?
Answer:-8
Step-by-step explanation:
The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0,7).
Which statement must be true?
The circle has a radius greater than 7.
The circle has a radius equal to 7.
The slope of the line is equal to 7.
The slope of the line is not equal to 7.
Save and Exit
Next
Submit
Answer:
the radius of the circle =7
Step-by-step explanation:
the function of a circle:(x – h)^2 + (y – k)^2 = r^2
center(0,0) because the center of a circle is at the origin (h,k)
a line intersect at (0,7)
(0-0)^+7-0)^2=r^2
r^2=49 , r=√49
radius r=7
If a dozen eggs cost $1.35, what is the unit cost?
A) $0.11
B) $0.13
C) $1.23
D) $4.29
Answer:
A) $0.11
Step-by-step explanation:
Since a dozen (12) eggs cost $1.35. You will divide $1.35 by 12. And it will equal 0.1125. Round it up it equals to 0.11.
helppppppppp pleaseeeeeeeeeeeeeee
Answer:
Number is yellow box=3
Step-by-step explanation:
We know this because the way we get that number is subtracting the two numbers above it, which is 8 and 5, which give us 3.
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If ABCD is a parallelogram, AD = 14, EC = 11, mZABC = 64°, mZDAC = 71°, and mZBDC = 25,
find each measure.
А
a) BC =
d) mZABD =
B
b) AC =
e) m ACD =
E
D
С
c) m DAB
f) mZADB =
Find attached to this answer the diagram of the Quadrilateral
Question:
If ABCD is a parallelogram, AD = 14, EC = 11, m∠ABC = 64°, m∠DAC = 71°, and m∠BDC = 25, find each measure.
a) BC =
b) AC =
c) m∠DAB =
d) m∠ABD =
e) m∠ACD =
f) m∠ADB =
Answer:
a) BC = 11
b) AC = 22
c) m∠DAB = 116°
d) m∠ABD = 39°
e) m∠ACD = 45°
f) m∠ADB = 25°
Step-by-step explanation:
a) BC
In the question above, EC = 11
We can see that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Quadrilateral.
Hence, In a quadrilateral ABCD,
EC = BC
Hence BC = 11
b) AC
AC is one of the diagonal lines that divided parallelogram ABCD
AC = BC + EC
AC = 11 + 11
AC = 22
c) m∠DAB
m∠ABC = 64°
m∠ADC = 64°
For the two angles above, a diagonal bisects through those angles.
Also the sum of angles in a triangle = 180°
Hence,
180° = 1/2m∠ABC + 1/2m∠ADC +
m∠DAB
m∠DAB = 180° - ( 1/2 (64) + 1/2(64))
m∠DAB = 180 ° - 64°
m∠DAB = 116°
d) m∠ABD
Since,
m∠ABC = 64° and m∠BDC = 25
m∠ABC = m∠BDC + m∠ABD
64 = 25+ m∠ABD
m∠ABD = 64° - 25°
m∠ABD = 39°
e) m∠ACD
In the above question,
m∠ABC = 64°,
m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral are congruent and equal to each other.
Hence, m∠ADC = 64°
m∠DAC = 71°,
In a triangle , all the angles in a triangle = 180°
Hence,
180° = m∠DAC + m∠ADC + m∠ACD
180° = 71° + 64 ° + m∠ACD
m∠ACD = 180° -(71 + 64)°
m∠ACD = 180° - 135°
m∠ACD = 45°
f) m∠ADB
Since
m∠DAB = 116°
m∠ABD = 39°
The sum of angles in a triangle = 180°
180° = m∠ABD + m∠DAB + m∠ADB
180° = 39 ° + 116° + m∠ADB
m∠ADB = 180° - ( 116 + 39)°
m∠ADB = 25 °
a) BC = 11
b) AC = 22
c) m∠DAB = 116°
d) m∠ABD = 39°
e) m∠ACD = 45°
f) m∠ADB = 25°
Given : AD=14 , EC=11, m∠ABC= 64°, m∠DAC=71° and m∠BDC=25°
To find: BC =? , AC =? , m∠DAB =?, m∠ABD =? ,m∠ACD =? ,m∠ADB =?
Consider the figure given below ABCD is a parallelogram
To find a) BC
Given, EC = 11
As seen in figure that EC and BC are equal sides of a diagonal line that has been divided into two equal parts in a Parallelogram.
Hence, In a Parallelogram ABCD,
EC = BC
Hence BC = 11
To find b) AC
AC is one of the diagonal lines that divided parallelogram ABCD
AC = BC + EC
AC = 11 + 11
AC = 22
To find c) m∠DAB
Given, m∠ABC = 64°
m∠ADC = 64°
(For the two angles above, a diagonal bisects through those angles)
Also From Angle sum property;
Hence,
180° = 1/2m∠ABC + 1/2m∠ADC + m∠DAB
m∠DAB = 180° - ( 1/2 (64) + 1/2(64))
m∠DAB = 180 ° - 64°
m∠DAB = 116°
To find d) m∠ABD
Since,
m∠ABC = 64° and m∠BDC = 25
m∠ABC = m∠BDC + m∠ABD
64 = 25+ m∠ABD
m∠ABD = 64° - 25°
m∠ABD = 39°
To find e) m∠ACD
Given, m∠ABC = 64°;
m∠ADC = m∠ABC, this is because, opposite angles in a quadrilateral (here parallelogram) are congruent and equal to each other
Hence, m∠ADC = 64°
m∠DAC = 71°,
In a triangle , all the angles in a triangle = 180°(Angle sum property)
Hence,
180° = m∠DAC + m∠ADC + m∠ACD
180° = 71° + 64 ° + m∠ACD
m∠ACD = 180° - (71 + 64)°
m∠ACD = 180° - 135°
m∠ACD = 45°
To find f) m∠ADB
Since ,m∠DAB = 116° and m∠ABD = 39°
From Angle sum property;
180° = m∠ABD + m∠DAB + m∠ADB
180° = 39 ° + 116° + m∠ADB
m∠ADB = 180° - ( 116 + 39)°
m∠ADB = 25 °
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Help anyone????? (this is due today)
Answer: not enough data shown to proceed with this question
Step-by-step explanation:
this graph shows the solution to which inequality?
Answer:
B. y > 2/3x + 1
Step-by-step explanation:
To find slope we'll use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
(-3,-1) (3,3)
3 - -1 = 4
3 - -3 = 6
2/3x
The y intercept is 1,
we know this because that's the point the line touches the y axis.
Thus,
the answer is B. y > 1/3x + 1.
Hope this helps :)
The graph of the solution of an inequality is given .
The graph represents the inequality is [tex]y>\frac{2}{3} x+1[/tex]
Option B
Given :
The graph of an inequality. To find the inequality for the given graph we use linear equation [tex]y=mx+b[/tex]
where m is the slope and b is the y intercept
To find out slope , pick two points from the graph
(-3,-1) and (3,3)
[tex]slope =\frac{y_2-y_2}{x_2-x_1} =\frac{3+1}{3+3} =\frac{2}{3} \\m=\frac{2}{3}[/tex]
Now we find out y intercept b
The point where the graph crosses y axis is the y intercept
The graph crosses y axis at 1
so y intercept b=1
The linear equation for the given graph is
[tex]y=\frac{2}{3} x+1[/tex]
Now we frame the inequality . we use test point that lies inside shaded region
Lets take (4,5)
[tex]y=\frac{2}{3} x+1\\5=\frac{2}{3} (4)+1\\5=3.6\\5>3.6\\y>\frac{2}{3} x+1[/tex]
The inequality for the given graph is
[tex]y>\frac{2}{3} x+1[/tex]
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Mariam went to a shop and bought 8 snickers, 3 galaxy and 3 kitkat. She payed 8 BD
totally. Her friend Zainab bought 4 snicker, 9 galaxy and 4 kitkat. She payed 10.9BD.
Is it possible to know the cost of each chocolate mathematically?
If yes how. If not why?
Answer:
Yes
Step-by-step explanation:
Let s be the price of snickers, g the price of galaxy and k the price of kitkat.
●For Mariam the equation will be:
8 s + 3 g + 3k = 8
●For Zainab the equation will be:
4 s + 9 g + 4 k = 10.9
Take the first equation and divide both sides by 4 to make it easier.
You get:
● 2s + 0.75 g + 0.75k = 2
Take the second equation and divide both sides by 2 to make easier.
You get:
● 2s + 4.5g + 2k = 5.45
The new system of equation is:
● 2s +0.75g + 0.75k = 2
● 2s + 4.5g + 2k = 5.45
Express s in the first equation using the other variables.
● 2s +0.75g +0.75k = 2
● 2s + 0.75(g+k) = 2
● 2s = 2-0.75(g+k)
● s = 1- 0.325 (g+k)
Replace s by the new expression in the second equation:
●2 [1-0.325(g+k)] +4.5 g +2k = 5.45
●2-0.75(g+k) +4.5g + 2k = 5.45
●2- 0.75g -0.75k +4.5 g +2k = 5.45
●2+ 3.75g + 1.25k = 5.45
● 3.75g +1.25k = 3.45
We have eliminated one variable (s)
We will keep (3.75g+1.25k=3.45) and use it.
Now that we eliminated in the second equation do it again in the first one.
You will get a system of equations with two variables.
Solve it and replace g and k with the solutions.
Finally solve the equation and find s.
Half of a quarter of a number is 3/4 .Find the number.
Answer:
[tex]\huge\boxed{6}[/tex]
Step-by-step explanation:
[tex]half=\dfrac{1}{2}\\\\quarter=\dfrac{1}{4}\\\\half\ of\ a\ quarter=\dfrac{1}{2}\cdot\dfrac{1}{4}=\dfrac{1\cdot1}{2\cdot4}=\dfrac{1}{8}\\\\\text{Let}\ n-\text{number}\\\\\text{The equation:}\\\\\dfrac{1}{8}n=\dfrac{3}{4}\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup\cdot\dfrac{1}{8\!\!\!\!\diagup}n=8\cdot\dfrac{3}{4}\\\\n=\dfrac{24}{4}\\\\n=6[/tex]
Solve for x.
a) 5√12
b) 12√5
c) 33
d) 6√5
Answer:
b
Step-by-step explanation:
Altitude- 0n- hypotenuse theorem
(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse ), that is
x² = (30 - 6) × 30 = 24 × 30 = 720 ( take square root of both sides )
x = [tex]\sqrt{720}[/tex]
= [tex]\sqrt{144(5)}[/tex] = [tex]\sqrt{144}[/tex] × [tex]\sqrt{5}[/tex] = 12[tex]\sqrt{5}[/tex] → b
which of the following is a mathematical representation of a function that provides detailed information but can become unwieldy?
Answer:
C. Equation
Step-by-step explanation:
An equation generally provides the most specific information about a function. However, it cannot always be used for certain purposes—such as finding a specific inverse function value.
In the case of equations that are infinite series, even evaluating the function can become difficult when the series converges slowly.
A factory manufactures chairs and tables, each requiring the use of three operations: cutting, assembly, and finishing. The first operation can use at most 40 hours; the second at most 42 hours; and the third at most 25 hours. A chair requires 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; a table needs 2 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $20 per unit for a chair and $30 for a table, what is the maximum revenue? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.
Answer:
z(max) = 650 $
x₁ = 10 units
x₂ = 15 units
Step-by-step explanation:
That is a linear programming problem, we will use a simplex method to solve it
Formulation:
Let´s call x₁ number of chairs and x₂ number of tables then :
Item (in hours) cutting assembly finishing Profit ($)
Chairs (x₁) 1 2 1 20
Tables (x₂) 2 1 1 30
Availability 40 42 25
Objective Function
z = 20*x₁ + 30x₂ ( to maximize) subject to:
x₁ + 2x₂ ≤ 40
2x₁ + x₂ ≤ 42
x₁ + x₂ ≤ 25
x₁ , x₂ >= 0
Using excel or any other software we find:
z(max) = 650
x₁ = 10
x₂ = 15
The chairs and tables manufactured by the factory is an illustration of linear programming, where the maximum revenue is 674
Let x represent chairs, and y represent tables
So, the given parameters are:
Cutting:
Chairs: 1 hourTable: 2 hoursHour available: 40So, the constraint is:
[tex]\mathbf{x + 2y \le 40}[/tex]
Assembly:
Chairs: 2 hoursTable: 1 hourHour available: 42So, the constraint is:
[tex]\mathbf{2x + y \le 42}[/tex]
Finishing:
Chairs: 1 hourTable: 1 hourHour available: 25So, the constraint is:
[tex]\mathbf{x + y \le 25}[/tex]
The unit profit on the items are:
Chairs: $20Table: $30So, the objective function to maximize is:
[tex]\mathbf{Max\ z = 20x + 30y}[/tex]
And the constraints are:
[tex]\mathbf{x + 2y \le 40}[/tex]
[tex]\mathbf{2x + y \le 42}[/tex]
[tex]\mathbf{x + y \le 25}[/tex]
[tex]\mathbf{x,y \ge 0}[/tex]
Using graphical method (see attachment for graph), we have the following feasible points:
[tex]\mathbf{(x,y) = \{(10,15),\ (17,8),\ (14.67, 12.67)\}}[/tex]
Calculate the objective function using the feasible points.
[tex]\mathbf{z = 20 \times 10 + 30 \times 15}[/tex]
[tex]\mathbf{z = 650}[/tex]
[tex]\mathbf{z = 20 \times 17 + 30 \times 8}[/tex]
[tex]\mathbf{z = 580}[/tex]
[tex]\mathbf{z = 20 \times 14.67+ 30 \times 12.67}[/tex]
[tex]\mathbf{z = 673.5}[/tex]
Approximate
[tex]\mathbf{z = 674}[/tex]
Hence, the maximum revenue is 674
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Need answer now in 10 min!!!
Answer:
40 deg
Step-by-step explanation:
The vertical sides of the rectangle are parallel, so the triangle is a right triangle.
The triangle is a right triangle, so the acute angles are complementary.
The bottom right angle of the triangle measures 90 - 50 = 40 deg.
The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.
x = 40 deg.
Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet
The volume of a square pyramid is found by multiplying the area of the base by the height divided by 3.
32 = 4^2 x h/3
32 = 16 x h/3
Multiply both sides by 3
96 = 16 x h
Divide both sides by 16
H = 96/16
H = 6
The height is 6 feet
Answer:
6 ft
Step-by-step explanation:
Volume of the pyramid:
V= lwh/3, where l- base length, w- base width, h- heightGiven
V= 32 ft³l=w= 4 fth=?Then, as per formula, we can solve it for h:
32= 4×4×h/3h= 32×3/16h= 6 ftHeight of the pyramid is 6 ft
Use Demoivres Theorem to find (-square root 3 +i)^6
Answer:
[tex]z=(-\sqrt{3}+i)^6[/tex] = -64
Step-by-step explanation:
You have the following complex number:
[tex]z=(-\sqrt{3}+i)^6[/tex] (1)
The Demoivres theorem stables the following:
[tex]z^n=r^n(cos(n\theta)+i sin(n\theta))[/tex] (2)
In this case you have n=6
In order to use the theorem you first find r and θ, as follow:
[tex]r=\sqrt{3+1}=2\\\\\theta=tan^{-1}(\frac{1}{\sqrt{3}})=30\°[/tex]
Next, you replace these values into the equation (2) with n=6:
[tex]z^6=(2)^6[cos(6*30\°)+isin(6*30\°)]\\\\z^6=64[-1+i0]=-64[/tex]
Then, the solution is -64
Answer:
A) -64
Step-by-step explanation:
Edge 2021
The _________ measures the strength and direction of the linear relationship between the dependent and the independent variable.
Answer:
Correlation Coefficient
Step-by-step explanation:
20 POINTS AND BRAINLEST A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a standard deviation of 7¢. If a new restaurant charges a price for iced tea that has a z-value of -1.25, then what is the tea’s actual cost? a. $1.00 c. $1.16 b. 89¢ d. $2.00 A student took two national standardized tests while applying for college. On the first test, SEE IMAGE. If he scored 630 on the first test and 45 on the second test, on which test did he do better? a. first test b. second test
Answer:
1) [tex] x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16[/tex]
The best answer woud be:
c. $1.16
2) If we find the z score for the first test we got:
[tex] z=\frac{630-475}{75}= 2.07[/tex]
And for the second test:
[tex] z=\frac{45-32}{6}= 2.17[/tex]
The z score for the second test is greater so then the answer would be:
b. second test
Step-by-step explanation:
For the first question:
For this case we have the following parameters are:
[tex]\mu = 1.25 , \sigma =0.07[/tex]
And we also know that the z score is [tex] z=-1.25[/tex] and we can use the z score formula given by:
[tex] z=\frac{X -\mu}{\sigma}[/tex]
And solving for x we got:
[tex] x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16[/tex]
The best answer woud be:
c. $1.16
For the second question:
First test [tex]\mu = 475, \sigma =75[/tex]
Second test [tex] \mu= 32, \sigma=6[/tex]
630 for the first test and 45 for the second
If we find the z score for the first test we got:
[tex] z=\frac{630-475}{75}= 2.07[/tex]
And for the second test:
[tex] z=\frac{45-32}{6}= 2.17[/tex]
The z score for the second test is greater so then the answer would be:
b. second test
Richard is buying a subscription for video game rentals. The plan he has chosen has an
initial fee of $20 plus $2 per video game rented. This plan can be represented by the
function f(x) = 2x + 20. How much money will Richard pay this month if he rents 5 video
games?
Answer:
Richard will pay $30.
Step-by-step explanation:
Because "x" is equivalent to the amount of video games he rents, you would replace "x" with 5. Do the math, and you would get 10+20=30! Hope this helps!
the Average temperature for one week in Alaska are as follows 10, 6, 9, 6, 2, 0, 3. what is the mean of thes temperatures? show all work.
Answer:
5 1/7
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of numbers
(10+ 6+ 9+ 6+ 2+ 0+ 3)/7
The sum of all the numbers is 36 and there are 7 numbers
36/7 =
7 goes into 36 five times with 1 left over
5 1/7
Answer:
5.143
Step-by-step explanation:
Add them all up then divide by the amount of numbers there are.
The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?
Answer:
40
Step-by-step explanation:
The measure of m∠B in the triangle is 40°.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Since the triangles are congruent, we know that their corresponding angles are congruent as well.
Therefore, we have:
m∠B = m∠F = 40°.
Note that we also have:
m∠C = m∠A = 80° (by corresponding angles)
m∠H = m∠G = 60° (by corresponding angles)
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle D:
m∠D = 180° - m∠B - m∠C = 180° - 40° - 80° = 60°.
Therefore,
m∠B = 40°.
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ANSWER ASAP. Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5
Step-by-step explanation:
Start at 0 and move 3 units to the left since it is negative
Move 1.5 units to the left since we are subtracting
We end up at - 4.5
Answer:
An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5
Step-by-step explanation:
-3 is also 0-3
arrow goes from 0 to -3 backwards.
arrow goes from -3 to -4.5 because -3-1.5=-4.5
When randomly selecting an adult, let B represent the event of randomly selecting someone with type B blood. Write a sentence describing what the rule of complements below is telling us. P B or B = 1 Choose the correct answer below. A. It is impossible that the selected adult has type B blood or does not have type B blood. B. It is certain that the selected adult has type B blood. C. It is certain that the selected adult has type B blood or does not have type B blood. D. It is certain that the selected adult does not have type B blood.
Answer: The rule of complements is apprising us that, the person selected will.eithwr have a type B blood or will not have a type B blood
Step-by-step explanations:
Find explanations in the attachment
please help Find: ∠x ∠a ∠b
Answer:
x = 22
<a = 88°
<b = 92°
Step-by-step explanation:
To solve for x, <a, and <b, we'd need to recall some of the properties of parallel lines, then apply them in solving this problem.
To find the value of x, recall that consecutive interior angles are supplementary. (5x - 18), and (3x + 22) are consecutive interior angles. Therefore:
[tex] (5x - 18) + (3x + 22) = 180 [/tex]
Solve for x
[tex] 5x - 18 + 3x + 22 = 180 [/tex]
[tex] 5x + 3x - 18 + 22 = 180 [/tex]
[tex] 8x + 4 = 180 [/tex]
Subtract 4 from both sides:
[tex] 8x + 4 - 4 = 180 - 4 [/tex]
[tex] 8x = 176 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} = \frac{176}{8} [/tex]
[tex] x = 22 [/tex]
=>Find <a:
According to the properties of parallel lines, alternate interior angles are equal. Therefore:
<a = 3x + 22
Plug in the value of x
<a = 3(22) + 22 = 66 + 22
<a = 88°
=>Find <b:
According to the properties of parallel lines, corresponding angles are said to be equal. Therefore,
<b = 5x - 18
Plug in the value of x to find <b
<b = 5(22) - 18
<b = 110 - 18 = 92°
I need the co-ordinates to answer this can anyone give them to me? If not it's fine! :)
Hi there!
Answer:
Find points for the equation y = 2x + 1 by plugging in x values:
For example, when x = 1, substitute in the value of 'x' into the equation:
y = 2(1) + 1
y = 2 + 1
Solve for the y-value:
y = 3
Repeat this process for multiple points:
X Y
-2 -3
-1 -1
0 1
1 3
2 5
To get the graph of y = 2x + 1, simply graph these points. :)
suppose that two integers from the set of 8 integers {1,2,… ,8} are choosen at random. Find the probability that
i.5 and 8 are picked.
ii.Both numbers match.
iii.Sum of the two numbers picked is less than 4.
Answer:
Ok so we have a set of 8 numbers {1,2,...,8}
a) 5 and 8 are picked.The probability here is:
In the first selection we can pick 5 or 8, so we have two possible outcomes out of 8 total outcomes, then the probability for the first selection is:
P = 2/8 = 1/4.
Now, if one of those numbers was picked in the first selection, only one outcome is possible in this second selection, (if before we picked a 5, here we only can pick an 8)
Then the probability is:
P = 1/8
The joint probability is equal to the product of the individual probabilities, so here we have:
P = (1/4)*(1/8) = 1/32 = 0.003
b) The numbers match:
In the first selection we can have any outcome, so the probability is:
P = 8/8 = 1
Now, based on the previous outcome, in the second selection we can have only one outcome, so here the probability is:
P = 1/8 = 0.125
The joint probability is p = 1/8
c) The sum is smaller than 4:
The combinations are:
1 - 1
1 - 2
2 - 1
We have 3 combinations, and the total number of possible combinations is:
8 options for the first number and 8 options for the second selection:
8*8 = 64
The probabilty is equal to the number of outcomes that satisfy the sentence divided by the total numberof outcomes:
P = 3/64 = 0.047
Using the probability concept, it is found that there is a:
i. 0.03125 = 3.125% probability that 5 and 8 are picked.
ii. 0.125 = 12.5% probability that both numbers match.
iii. 0.046875 = 4.6875% probability that the sum of the two numbers picked is less than 4.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, two integers are chosen from a set of 8, hence, there are [tex]8^2 = 64[/tex] total outcomes.
Item i:
Two outcomes result in 5 and 8 being picked, (5,8) and (8,5), hence:
[tex]p = \frac{2}{64} = 0.03125[/tex]
0.03125 = 3.125% probability that 5 and 8 are picked.
Item ii:
8 outcomes result in both numbers matching, (1,1), (2,2), ..., (8,8), hence:
[tex]p = \frac{8}{64} = 0.125[/tex]
0.125 = 12.5% probability that both numbers match.
Item ii:
Three outcomes result in a sum of less than 2, (1,1), (1,2), (2,1), hence:
[tex]p = \frac{3}{64} = 0.046875[/tex]
0.046875 = 4.6875% probability that the sum of the two numbers picked is less than 4.
A similar problem is given at https://brainly.com/question/15536019
Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? G(x)=2f(x)=2(2^x))
Answer:
The graph of g( x ) is the graph of f(x) stretched vertically by a factor of 2.
Option C is the correct option.
Step-by-step explanation:
Solution,
f ( x ) = 2ˣ
g ( x ) = 2 ( 2 ˣ )
2 is multiplied with f(x)
2 is greater than 1
so, Vertical stretch by a factor of 2.
Option C is correct.
Hope this helps...
Best regards!!
We want to compare the functions f(x) and g(x), given that we know that g(x) is a transformation of f(x).
The correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."
Here we know that:
f(x) =2^x
g(x) = 2*f(x) = 2*2^x
First, remember that a general vertical dilation/stretch of scale factor k is written as:
g(x) = k*f(x)
So only by that and knowing that g(x) = 2*f(x), we can conclude that the graph of g(x) is the graph of f(x) dilated/stretched vertically by a scale factor of 2.
Then the correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."
If you want to learn more, you can read:
https://brainly.com/question/16670419