The answer is the top one to the right
The graph that represents the function g(x) = 2(0.5)ˣ -1 is given.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Given expression,
g(x) = 2(0.5)ˣ -1
To draw the graph take x = 0, 1,2, -1 , -2 and so on .
And draw these numbers in the graph.
Take x=0
g(0) = 1
the point is (0,1)
And now , take x = 1
g(1) = 0
the point is (1,0)
Take x =-1
g(-1) = 3
The point is (-1,3)
Therefore, the graph is given in the image.
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Every day you play a random song from your library, which includes 200 songs. What is the PROBABILITY that both today and tomorrow the first song that plays is one of your top 10 favorite songs?
To find probability, you must divide the number of events by the number of possible outcomes.
An event (or favorable outcome) is an outcome that is desired.
An outcome is one of many things that could happen.
Since the events occur two times, they must be doubled.
In this case, there are 400 possible outcomes and 20 number of events.
400 ÷ 20 = 0.05The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.
The Ocean Cleanup project estimates its 001/B system could clean up 733
tons of plastic every month. Write a y = mx equation to show this.
Answer:
y = 733x
Step-by-step explanation:
y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.
If this answer is correct, please make me Brainliest!
Which statement belongs in Step 4?
Answer:
Step-by-step explanation:
TQ = QR
Ray t bisects TR. TR is divided into two equal parts
Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (7 + 8) = (2 + 7) × (2 + 8)
B. 2 × (7 + 8) = (2 × 7) + (2 × 8)
C. 2 × (7 + 8) = (2 × 7) + 8
Answer:
A
Step-by-step explanation:
It is the only equation with addition in all the parenthesis.
Vaughn is ordering light bulbs for his business. He always orders three extra bulbs. The following shows how the number of light bulbs he orders, y, changes as the number of light bulbs burnt out, x, changes.
Which equation shows this relationship?
A.
y = 3x
B.
y = x + 3
C.
3y = x
D.
y + 3 = x
Answer: D
Step-by-step explanation:
Because if y is the number of light bulbs he orders and he always orders three extra or three more that means that for any number of orders that he makes there will be three more. That three will never change since he always others three more than he ordered.
Answer:
y = x + 3
Step-by-step explanation:
-11p²-4=0
How do I solve this equation using quadratic formula?
Answer:
±(2√11 * i) / 11
Step-by-step explanation:
Quadratic Formula: x = (-b ± √b^2 - 4ac) / 2a
a = -11
b = 0
c = -4
(0 ± √0 - 176) / 22
± √-176 / 22
±(4√11 * i) / 22
Simplify:
±(2√11 * i) / 11
***i is for imaginary number***
Which graph shows the solution to the system of linear inequalities?
2x - 3y =12
y <-3
Answer:
x = 3/2
Step-by-step explanation:
The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the prism. Round your answer to the nearest cubic cm.
Answer:
volume ≈ 930 cm³ (nearest cubic cm)
Step-by-step explanation:
The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.
The volume of a prism = Bh
where
B = base area
h = height of the prism
The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.
The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .
The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,
tan 36° = opposite/adjacent
tan 36° = opposite/4
opposite = 4 tan 36°
The full base of the triangles = 2(4 tan 36°)
area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°
Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°
Volume of the prism = Bh
where
h = 16 cm
B = 80 tan 36°
volume = 80 tan 36° × 16 = 1280 tan 36° = 1280 × 0.726542528
volume = 929.974435847 cm³
volume ≈ 930 cm³ (nearest cubic cm)
Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of the trend line. Her work is shown below. 1. y = negative 3 x + b. 2. 8 = negative 3 (10) + b. 3. 8 = negative 30 + b. 4. 8 + 30 = negative 30 + 30 + b. 5. 38 = b. Examine Bernice’s steps.In which step did she make an error? In step 1,she used the wrong equation. In step 2,she switched the x and y coordinate values. In step 3,she needed to add -3 and 10 In step 4,she needed to -30 on both sides
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I took the assignment
Calculate the perimeter of the following figure.
Answer:
29 inches
Step-by-step explanation:
4 + 7 + 4 + 11 = 29 inches
in how many ways can the classes math, language arts, science and social studies be ordered on student schedules as the first four classes of their day
Answer:
16
Step-by-step explanation:
theres 4 different subjects that could be in each of 4 different slots, eg, science, ss, ela, or math could be in slot one, or the same for slot two, and so on and so forth.4 x 4 = 16
The required number of ways to study 4 different subject to first four classes is 16
What is method of counting?If we have m number of works to do and n number of peoples then the number of ways to do the work is mxn
How to find number of ways?Here we have given
Number of subjects = 4 that is math, science, art and social science
Number of classes = 4
Therefore the number of way to attending the class is
4x4 = 16
This is the conclusion to the answer.
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4^2-2^3=?
a. 1/2
b.2
c. -128
Answer:
2
Step-by-step explanation:
4^2-2^3
2^2(2) - 2^3
2^4 - 2^3
2^(4/3)
2^1 = 2
I need help please with finding the gcf of each pair of monomials (10 points )
Answer:
Step-by-step explanation:
3p^4 and 4p = p(3p^3 and 4)
14xy^2 and 21y^3 = 7y^2(2x and 3y)
Tell whether the graph of the quadratic function
y − 4x2 = 4x + 5 opens upward or downward and whether the function has a maximum or a minimum.
The graph opens (select: downward, upward) and and the function has a
(select: maximum, minimum).
Answer: Graph attached.
Step-by-step explanation:
It is easier to figure it out if you can see it.
Also easier if you rewrite the equation in quadratic form:
y = 4x² + 4x + 5
easy question!!
how can i do this! need step by step explanation.
help!! will give the brainliest
Answer: 1+log3(10)
Step-by-step explanation:
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]
[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]
I need to find the equation of the line
Answer:
y= -3x + 7
That is the answer.
An expression that is equivalent to 12-16x
Answer: an expression equivalent would be 4(3-4x)
Answer:
4(3-4x)
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
hiiii.. please help me with this limit question
Answer:
π
Step-by-step explanation:
Solving without L'Hopital's rule:
lim(x→0) sin(π cos²x) / x²
Use Pythagorean identity:
lim(x→0) sin(π (1 − sin²x)) / x²
lim(x→0) sin(π − π sin²x) / x²
Use angle difference formula:
lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²
lim(x→0) -sin(-π sin²x) / x²
Use angle reflection formula:
lim(x→0) sin(π sin²x) / x²
Now we multiply by π sin²x / π sin²x.
lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)
lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)
lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)
π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²
Use identity lim(u→0) (sin u / u) = 1.
π (1) (1)²
π
Solving with L'Hopital's rule:
If we plug in x = 0, the limit evaluates to 0/0. So using L'Hopital's rule:
lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x
lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x
-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x
Again, the limit evaluates to 0/0. So using L'Hopital's rule one more time:
-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1
-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]
-π/2 (-2)
π
Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution? (, )
Answer:
0 and 8
Step-by-step explanation:
for some reason i got a warning giving you the answer so here it is, i got the evidence from a calculator.
Answer:
0,8 is correct
Step-by-step explanation:
Evaluate
12^-8 over 12^-9=
Answer:
12
Step-by-step explanation:
We know that a^b / a^c = a^ (b-c)
12 ^ -8 / 12 ^ -9
12 ^ (-8 - -9)
12 ^ (-8+9)
12 ^ 1
12
Answer:
The Answer is 12. (Someone deleted my answer because I didn't show any work.)
Step-by-step explanation:
1. 12^-8/12^-9 --> 12^-8-(-9)
2. 12^-8+9
3. 12^1= 12
4. Therefore the answer is 12.
The following situations showed a strong correlation. Which implies causation?
A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination
B. an increase in a company's advertising budget and an increase in their profit
C. an increase in temperature and an increase in ice cream sales
D. an increase in salary and a decrease in sick days
Answer:
A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination
Step-by-step explanation:
As an increase in the speed of the car decrease the time it takes to reach the destination.
What is correlation?Correlation is the dependence of any statistical relationship between the causal or may be two random variables. It usually indicates the type of association.
As the increase in the car speed will lead to a decrease in the distance and the time it takes to reach the destination. Hence positively correlated.
Find out more information about the causation.
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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the
average desired retirement age, with a standard deviation of 3.4 years. A 96% confidence interval for desired retirement age of all college students is:
54.30 to 55.70
54.55 to 55.45
54.58 to 55.42
54 60 to 55.40
Answer:
96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Step-by-step explanation:
We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.
Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years
[tex]\sigma[/tex] = sample standard deviation = 3.4 years
n = sample of seniors = 101
[tex]\mu[/tex] = true mean retirement age of all college students
Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.
So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96 {As the critical value of t at 100 degree
of freedom are -2.114 & 2.114 with P = 2%}
P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96
P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]
= [54.30 , 55.70]
Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Please answer the question it’s for my math SAT
Answer: D.
This is tricky.
Think of the equation as an equation for a line
where in this case.
[tex]C=5/9(f-32)[/tex]
or
[tex]C=5/9f-5/9(32)[/tex]
You can see the slope of the graph is [tex]5/9[/tex] which means that for an increase of 1 degree Fahrenheit, the increase is [tex]5/9[/tex].
[tex]c=5/9(f)[/tex]
[tex]c=5/9(1)=5/9[/tex]
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of [tex]9/5[/tex] Degrees Fahrenheit
[tex]c=5/9(f)[/tex]
[tex]1=5/9(f)[/tex]
[tex]f=9/5[/tex]
Since [tex]9/5=1.8[/tex] Statement 2, is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of [tex]5/9[/tex] degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
[tex]c=5/9(f)[/tex]
[tex]c=5/9(5/9)[/tex]
[tex]c=25/81[/tex] which is ≠ 1)
An increase of [tex]5/9[/tex] degree Fahrenheit leads to an increase of [tex]25/81[/tex]
not 1 degree, Celsius, and so Statement III is not true.
The final answer is D.
I hope this helped x
Answer:
D!!!!
Step-by-step explanation:
Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4
Answer:
Step-by-step explanation:
。☆✼★ ━━━━━━━━━━━━━━ ☾
2x + 5y = 19
x - 2y = -4
Multiply the second equation by 2
2x - 4y = -8
Now we have:
2x + 5y = 19
2x - 4y = -8
Subtract the second eq from the first to get:
9y = 27
/ 9
y = 3
Now substitute this value into one of the first equations
x - 2(3) = -4
x - 6 = -4
x = 2
Thus, your answer would be option B
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Question 4
What do you observe about the distances between the three pairs of corresponding vertices for each movement? Based on your observations,
how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a
translation?
Answer:
The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.
A translation is a rigid transformation that moves vertices of a figure a fixed distance.
In a general way, a translation moves all points on a shape a fixed distance.
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Sample answer for Edmentum and Plato Users
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Which integer is the following number closest to?*
(33
02
3
O
Answer:
لافصرقغه3ق3
Step-by-step explanation:
4ل5خ2ىاق
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3
Answer:(5,2)
Step-by-step explanation:
please help and look at the picture
Answer:
12
Step-by-step explanation:
If i could show i would but i did it and it is 12.
So the right answer is -12.
Look at the attached picture
Hope it will helpful to you...
Refer to the Parallelogram below to complete the following problem if m angle B= 3x- 9 and m angle C= 39°, then what is the value of x?
Answer:
44
Step-by-step explanation:
Answer:
The answer is 44
Step-by-step explanation:
Hope this HELPED you
need help plzz helpp will give brainliest!!!
Answer:
12%
Step-by-step explanation:
1,020/8,500= ?/100
correct me if i am wrong
Answer:
Hello There the Correct answer is D. 12%
All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.