Range of f(x)=[3,∞)
What does a function's range refer to?The range of a function in mathematics can refer to one of two ideas that are connected in some way:
1.Codomain for the function
2.an illustration of the action
Given two sets X and Y, a binary relation f between them is a (complete) function (from X to Y) if and only if there is precisely one y in Y such that f connects x and y. The terms "domain" and "codomain" of f, respectively, refer to the sets X and Y. The subset of Y made up only of those elements y of Y such that there is at least one x in X with f(x) = y is thus known as the image of f.
Given, f(x)= x²+3
Here x∈ R
x²+3≥3
Therefore, Range of f(x)=[3,∞)
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Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
Since Maya is estimating the product of 88 and 12, the statements that are true include the following:
If she rounds both values to the nearest ten, her estimate will be 900.If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000.How to determine the true statements?In order to determine the statements that are true, we would have to evaluate each of the statement as follows:
"If she rounds both values to the nearest ten, her estimate will be 800."
Rounding up 88 and 12 to the nearest ten, we have the following:
Rounded up number = 88 ≈ 90
Rounded up number = 12 ≈ 10
Therefore, the product of 90 and 10 is given by:
Product = 90 × 10
Product = 900.
"If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000."
Rounding up 88 to the nearest hundred, we have the following:
Rounded up number = 88 ≈ 100
Rounding up 12 to the nearest ten, we have the following:
Rounded up number = 12 ≈ 10
Therefore, the product of 100 and 10 is given by:
Product = 100 × 10
Product = 1,000.
In this context, we can reasonably and logically deduce only two statements are true while all of the other statements are false and incorrect.
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Complete Question:
Maya is estimating the product of 88 and 12. Which statements are true? Check all that apply.
If she rounds both values to the nearest ten, her estimate will be 800.
If she rounds both values to the nearest ten, her estimate will be 900.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 1,000
If she rounds both values to the nearest ten, her estimate will be 1,600.
If she rounds 88 to the nearest hundred and 12 to the nearest ten, her estimate will be 2,000.
please I need exact answers I struggle in make please you don't have to show your work just give me the answers this is all the points I have help me.
Answer:
i the anserw is b than c
Step-by-step explanation:
h(x)=−2x+3, find h(0)
Answer:
1.4
Step-by-step explanation:
50 points!! A student made an error in solve the equation. Your job is to
1. Identify the error
2. Explain to the student what they should have done instead.
3. Show your work
In the first step by open bracked students forgot to multiply the negative sign with 9 by doing the correct step the answer is -17/2.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
An equation is said to be linear if the maximum power of the variable is consistently unity.
As per the given equation,
1 - (x + 9) = -(-x - 9)
Open the bracket
1 - x - 9 = x + 9 (students did a mistake he/she write +9 instant of -9)
1 - (x + 9) = x + 9
1 = 2(x + 9)
x + 9 = 1/2
x = 1/2 - 9 = -17/2
Hence "In the first step by open bracked students forgot to multiply the negative sign with 9 by doing the correct step the answer is -17/2".
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100pts
The sum of the digits of a 3-digit number is 18. The second digit is twice the first digit, and the third digit is three times the first digit. Find the number.
Answer: 369.
Step-by-step explanation:
We need to do trial and error to do this.
I'm going to try 3 because I know 4 is too high.
3, 6, and 9.
3 + 6 is 9.
9 + 9 is 18.
This means that the answer is 369.
(a) Two years ago, the population of a village was 5000. During the first year, it increased by 7% but due to an epidemic, it decreased by 6% in the following year. What is the population of the village now?
Answer:
5029
Step-by-step explanation:
Calc 2
Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 49 cm.
a) How much work (in J) is needed to stretch the spring from 40 cm to 44 cm? (Round your answer to two decimal places.)
------J
b) How far beyond its natural length (in cm) will a force of 20 N keep the spring stretched? (Round your answer one decimal place.)
------cm
The work done in stretching the spring from 40 cm to 44 cm is 0.28 J while the extension by the 20 N force is by 0.058 m.
What is the Hooke's law?Hooke's law states that, as long as the elastic limit is not exceeded the force that is exerted on an elastic material is directly proportional to the length of the material.
Given that;
W = 1/2Ke^2
W = elastic potential energy
K = force constant
e = extension
Given that the extension is obtained from; (49 - 32) * 10^-2
= 0.17 m
5 = 0.5 * K * (0.17)^2
K = 5/0.5 * (0.17)^2
K = 346
a) To stretch the spring from 40 cm to 44;
e = (44 - 40) * 10^-2
= 0.04 m
W = 0.5 * 346 * (0.04)^2
= 0.28 J
b) The spring is stretched;
F = Ke
F =force
K = force constant
e = extension
20 = 346 * e
e = 20/346
e = 0.058 m
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Find the area of the room
Answer:
142 ft2
Step-by-step explanation:
3/4 is eaqaul to 0.75 so 17.75 x 8
Evaluate if m = -32, n = 2, p = -8, and r = 4
pr/n + m
The answer of the problem is -48.
The evaluation:
given that m = -32, n = 2, p= -8, and r = 4
∴ we have to find the value of pr/n + m
⇒ pr/n + m
⇒ -8×4/2 + (-32)
⇒ -8×2 - 32
⇒ -16 - 32
⇒ -48
So the value of the figure is -48.
What is the scale factor of the preimage to image?.
Depending on the scale factor, the dilation picture will either be larger or smaller than the preimage.
What is an example of a scale factor?
The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller). By multiplying each side by a certain number, say 2, we can increase the size of a rectangle with sides of 2 cm and 4 cm.What in mathematics are preimage and image?
Preimages are parts of the range, and images are the range's elements.
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Brooklyn's cab company charges a one-time pickup fee of $2 for every ride, as well as
a $2.60 charge for each mile traveled. Find the rate of change.
The function that gives the rate of change for the given situation is R9x) = 2 + 2.6x
Rate of change
Rate of change refers a rate that describes how one quantity changes in relation to another quantity.
Given,
Brooklyn's cab company charges a one-time pickup fee of $2 for every ride, as well as a $2.60 charge for each mile traveled.
Here we need to find the rate of change.
Let as consider that the number of mile travelled is modeled as x.
And R(x) is the function that defines the rate of change.
So, in the given question we know that, the one time charge is $2 and the charge per mile is $2.60.
Therefore, the rate of change is calculated as,
R(x) = 2 + 2.60x.
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Answer:
2.60
Step-by-step explanation:
2.60 for each mile
Use the translation (x, y) (x – 8, y+4) to answer the question. What is the preimage of C' (-3, -10)?
The preimage of the point C'(x, y) = (- 3, - 10) is the point C(x, y) = (5, - 14).
What is the preimage of a point according to the translation formula?
In this question we find the coordinates of a point that is result of a translation. Translations are examples of rigid transformations, whose vector formula is shown below:
C'(x, y) = C(x, y) + T(x, y)
Where:
C(x, y) - Original pointC'(x, y) - Resulting point T(x, y) - Translation vectorPlease notice that the original point C(x, y) is the preimage of C'(x, y).
If we know that C'(x, y) = (- 3, - 10) and T(x, y) = (- 8, 4), then the preimage of the point C is:
(- 3, - 10) = C(x, y) + (- 8, 4)
C(x, y) = (- 3, - 10) - (- 8, 4)
C(x, y) = (- 3, - 10) + (8, - 4)
C(x, y) = (5, - 14)
The preimage is the point C(x, y) = (5, - 14).
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which expression is equivalent to 6y-12
Answer:
3y+3y-12
Step-by-step explanation:
when they have the same variable with same power you can just combine the coefficient
3y+3y-12
6y-12
Hopes this helps please mark brainliest
Answer:3y+3y-12
Step-by-step explanation:
3y+3y=6y
-12
6y-12=3y+3y-12
You earn $50,000 per year. Your entire income is taxed at the 10 percent federal tax bracket. Which value reflects what you will pay in federal income taxes?.
The correct choice is C. If she earns $50,000 a year, he will pay $5,000 in federal income tax.
federal taxable income is That portion of gross income known as “taxable income” is used to determine your tax liability for a particular tax year. It can be loosely defined as adjusted gross income less allowable standard or personal deductions.
we can calculate federal income tax as below:
Your adjusted gross income determines your total federal income tax (AGI). The 1040 form and accompanying schedule must record all income from multiple categories, including wages, interest and dividends, and business income.
So if your income is $50,000, your federal income tax is $5,000. The correct answer is C. If she earns $50,000 a year, he will pay $5,000 in federal income tax.
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identify each object from the pyramid shown below:
The pyramid is 13 units long with polygon as a base.
A pyramid is a 3D polyhedron with the base of a polygon along with triangle-shaped faces that meet at a point above the base.
The triangular sides are called faces and the point above the base is called the apex.
A pyramid is made by connecting the base to the apex.
Looking at the object shown,
The base of the pyramid is Hexagon , a polygon with 6 sides
The height of the pyramid is 13 units.
The vertex of the pyramid is E , A ,Y ,P ,T ,A ,N
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Explain which is the BEST reason why the angle-angle criterion (AA) is sufficeint to establish similarity in triangles.
A. The triangle sum theorem states that all triangles have a sum of 180 degrees.
B. If two angles are congruent, then two sides are congruent. This is enough to prove the triangles are similar.
C. If two angles are congruent, then the side in between them is congruent too. This is enough to prove the triangles are similar.
D. If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.
The answer is;
''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''
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;
The angle- angle criterion (AA) is sufficient to establish similarity in triangles
Now,
We know two corresponding angle are congruent in two triangles,
then the third angle would have to be congruent too.
Thus, The degree in a triangle add up to 180 degrees .
So, The answer is;
''If you know two corresponding angles are congruent in two triangles, then the third angles would have to be congruent too. The degrees in a triangle add up to 180 degrees.''
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over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is:
We conclude that less than 30% of teen girls smoke to stay thin.
Let p be the percentage of teen girls who smoke to stay thin.
So, the Null Hypothesis,([tex]H_{0}[/tex]):
p≥ 30%
This means that at least 30% of teen girls smoke to stay thin
Alternate Hypothesis,([tex]H_{A}[/tex]) :
p < 30%
This means that less than 30% of teen girls smoke to stay thin.
The test statistics that would be used here
One sample z proportion statistics:
T.S = p' - p/ [tex]\sqrt{p'(1-p')/n}[/tex] ≈N( 0,1)
Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231
n = number of sample of teen girls = 273
Now putting these values we have:
Test statistics = 0.231 - 0.30/ [tex]\sqrt{0.231( 1- 0.231)/ 273}[/tex]
= -2.705
So we get the value of z-test statistics as - 2.705.
As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.
As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore we get that less than 30% of teen girls smoke to stay thin.
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Which of the following can be constructed by drawing an angle on tracing paper and then folding the paper so that the rays forming the angle lie upon each other?
A. Perpendicular line segment
B. Median of a line segment
C. Angle bisector
D. Parallel lines
A
source: trust me bro
question 1 options: there is no prior information about the proportion of americans who support gun control in 2018. if we want to estimate 92% confidence interval for the true proportion of americans who support gun control in 2018 with a 0.2 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number
There are 19 randomly selected Americans must be surveyed, if we want to estimate 99% confidence interval for the true proportion of Americans who support the gun control in 2018 with a 0.36 margin of error
randomly selected americans must be surveyed can be calculate as follows:
If the prior population proportion is unavailable then the formula to find the sample size is given by :
[tex]n= 0.25(\frac{z*}{E} )^{2}[/tex]where,
z* = Critical z-value
E = margin of error
Let p be the proportion of Americans who support the gun control in 2018.
As per given , we have
Confidence level = 92%
The critical z-value for 92% confidence interval is 1.75 ( BY z-table)
Margin of error : E= 0.2
Since there no prior information about the proportion of Americans who support the gun control in 2018.
So , the required sample size to estimate 99% confidence interval would be:
[tex]n= 0.25(\frac{1.75}{0,2} )^{2}\\n= 0.25(8.75)^{2} \\n= 0.25 (76.5625)\\n= 19.14[/tex]or 19
Hence, 19 Americans should be surveyed.
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4. Determine whether the figures are similar. If so, what is the scale factor of the right figure to the left figure.
The figures that are given above are not similar because their corresponding side lengths have different ratios.
How to Determine if Two Figures are Similar?To determine if two figures are similar to each other, find out if their corresponding side lengths have the same ratio, or are proportional to each other.
Note also that if two figures are similar, their corresponding angles will have the same angle measures.
The corresponding angles of the two figures above given are congruent, that is they are equal to each other.
Thus, the ratio of their corresponding sides are:
4.2/7 = 0.6
7.7/11 = 0.7
The ratios are not the same, therefore, the figures are not similar.
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What is the relationship between angle 3 and angle 6
A,B,C, or D?
Answer:
Below
Step-by-step explanation:
Realize ---- Angle 3 = Angle 7
from this , you should be able to see that angle 3 and angle 6 are supplementary ( they add to 180 degrees....straight line)
zach kolby and peyton are investing a total of 350,000 to open a coffee shop . Their investments are in the ratio 1:2:0.5 respectively
How much has zach invested for dollars
Zach has invested a total of 100,000
What is a ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
the ratio 1 : 2 : 0.5 can be written in whole number ratios
by multiplying the ratio by 2 so that it becomes
2:4:1
Total shares = 2 + 4 + 1 = 7
Zach's share = 2/7 x 350,000
Zach's share = 2 x 50,000, which is 100,000
In conclusion, Zach's share of the total money invested is 100,000
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SuperFast Deluxe:
8
Milton Middle School is planning to purchase a new copy machine. The principal has narrowed the choice to
two models: SuperFast Deluxe and Quick Copies. He plans to purchase the machine that copies at the fastest
rate. Use the information below to determine which copier the principal should choose.
144
132
120
108
64
72
60
12
0
0
Number of Seconds vs. Number of Copies
.
20
60
40
Number of Seconds
80
100
Quick Copies:
c = 1.5t
(where t represents the amount of time in seconds, and c
represents the number of copies)
Answer:
Based on the information given, the SuperFast Deluxe machine is the faster copier. This can be determined by calculating the rate of copies for both machines at each time interval. For Quick Copies, we can calculate the rate using the equation c = 1.5t. For the SuperFast Deluxe, it can be simply observed that the number of copies produced increases by 8 each interval. We can then determine that the SuperFast Deluxe creates copies more quickly than the Quick Copies machine. Therefore, the principal should choose the SuperFast Deluxe.
stsstttsst is a string of letters which does not include the consecutive letters stts. how many more strings of ten letters that do not include the consecutive letter stts?
There are 630 more strings of ten letters that do not include the consecutive letter stts.
Total number of combinations possible with 10 letters =2∧10
=1024
Calculating using inclusion method;
There are 7 possible spots for the 4 characters, from 1-4 through 7-10, and 26 options for the remaining 6 slots if we have a specific 4 character string that fits within a range of 10 characters. Then, for the double counts, we can either have the strings joined (1-7, 2-8, 3-9, and 4-10), with 23 other values, equaling 4*8=32, or the strings separated (2-5 and 6-9, 7-10, or 3-6, 7-10, equaling 6), with 22 = 4 other values, equaling 6*4 = 24, and one 10-character sequence that contained the pattern three times. STTSTTSTTS.
Number of combination containing consecutive letter stts will be
= 448 - (32 + 24) + 1
= 393.
Then,
Total Strings without the sequence stts = 1024 - 393
= 631
Since, one is already provided in the question 631-1=630 more strings can be formed.
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please hurry and answer
what is angle E
The value of angle E in the ΔDEF is 121°.
Given,
∠B = (96 + y)°
∠E = (6y - 29)°
EF = BC
AB = DE
AC = DF
Therefore, ΔABC ≅ ΔDEF
So, ∠ABC = ∠DEF or ∠B = ∠E
96 + y = 6y - 29
6y - y = 96 + 29
5y = 125
y = 125/5
y = 25
∠E = 6y - 29
= 6(25) - 29
= 150 - 29
= 121
Hence, ∠E = 121°.
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7.77 - 1.66x + 16.7x
Answer:
15.04
Step-by-step explanation:
7.77−1.66x+16.7x
Combine −1.66x and 16.7x to get 15.04x.
d/dx (7.77+15.04x)
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n is nax^n-1.
15.04x^1-1
Subtract 1 from 1.
15.04x ^0
For any term t except 0, t ^0 =1.
15.04×1
For any term t, t×1=t and 1t=t.
and that leaves us with 15.04 as your answer
hopes this helps
There are 4 yellow, 3 blue, 5 green, 7 red and 2 orange sweets in my bag.
3.1.1 What is the probability of taking out a red sweet? Show all your steps.
3.1.2 What is the probability of taking out a green, blue, or orange sweet? Show all your steps.
please help quick writing test
Answer:
1/3 ; 10/21
Step-by-step explanation:
total sweets = 4+3+5+7+2 = 21
3.1.1
7/21 = (7:7)/(21:7) = 1/3
3.1.2
(5+3+2)/21
10/21
what is the meaning of life like why do we exist and why are we here.......
so deep
Answer:
The meaning of life according to some people is to party and have fun all ur life. The reason we exist is God created us.
Step-by-step explanation:
(x − 6) (2x + 3) = 0
Answer:
[tex]x = \frac{-3}{2}[/tex]
and / or
[tex]x = 6[/tex]
Step-by-step explanation:
Take a look at the attachment...
Hope this helps! :)
a mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. the pipe is located at 7 inches from the vertex of the mirror. write an equation of the parabola that models the cross section of the mirror. assume the parabola opens upward
An equation of the parabola that models the cross section of the mirror is y=x²/28.
Given that, a mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
The pipe is located 7 inches from the vertex of the mirror.
The parabola is open upwards . the vertex of the parabola is (0,0)
and pipe is located 7 inches from the vertex (0,0)
7 inches is the focus of the mirror
The distance between the vertex and the focus = 7
Since parabola is upwards and vertex is (0,0) we use formula 4py=x²
Where p is the distance between the vertex and focus p = 7
Now, 4×7×y=x²
⇒ 28y=x²
Now isolate y by dividing 28 on both sides, we get
y=x²/28
Therefore, an equation of the parabola that models the cross section of the mirror is y=x²/28.
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