The equation the function after the transformation is g(x) = x/10
How to determine the transformation of the function?The equation of the function is given as
y = x
Express as a function
f(x) = x
The sequence of transformations is given as follows:
Vertically stretched by a factor of 1/10
When the above transformations are combined, we have:
Vertically stretched by a factor of 4: g(x) = 1/10f(x)
So, we have
g(x) = 1/10f(x)
Substitute x for f(x)
So, we have
g(x) = 1/10 * x
Evaluate
g(x) = x/10
Hence, the function g(x) is g(x) = x/10
Read more about transformation at
brainly.com/question/27224272
#SPJ1
HOW Does 1/6, -3, square root 7, -6/5 or 45 come first when the numbers are listed from lest to greatest. explain PLEASE EXPLAIN ME!!!!!!!!!!!!!!!! :C(
Answer:
- 3 comes first and the order is - 3, - 6/5, 1/6, √7, 45==========================
Given numbers1/6, - 3, √7, - 6/5, 45.Put these numbers in the ascending orderFirst, compare the negative numbers as they are smaller than positives since negatives are to the left from zero on the number line and positives are to the right.
- 3 vs - 6/5- 3*5/ 5 vs - 6/5- 15/5 vs - 6/5Since - 15 is smaller than - 6, the least number is - 3:
- 15/5 < - 6/5 ⇒ - 3 < - 6/5Now compare the positives.
1/6 is smaller than 1 as it is a fraction.√4 < √7 < √9 ⇒ 2 < √7 < 3, so √7 is between 2 and 3, hence greater than 1, therefore 1/6 < √7.And the greatest number is 45 as it is greater than 3.Therefore:
1/6 < √7 < 45The complete order is:
- 3, - 6/5, 1/6, √7, 45Answer:
-3 < -6/5 < 1/6 < √7 < 45
Step-by-step explanation:
Now the values will be,
→ 1/6 = 0.17
→ -3 = -3
→ √7 = 2.65
→ -6/5 = -1.2
→ 45 = 45
Let's arrange in ascending order,
→ -3, -1.2, 0.17, 2.65, 45
→ -3, -6/5, 1/6, √7, 45
Hence, number -3 comes first.
What id an equation of a line in point-slope form that passes theough (1,-7) and has a slope of -2/3?
(y + 7) = -2/3(x - 1) is the point-slope form of the equation of a line passing through (1, -7) and having a slope of -2/3.
How to calculate a line's equation in point-slope formThe query revealed information include
a slope of -2/3
point (1, -7)
Describe a linear function.Those functions with exponents of 1 are known as linear functions.
The form represents the equation of a line in point-slope form.
(y - y₁) = m (x - x₁)
Variables in the y direction are described by (y and y₁).
variables in the x direction are described by (x and x₁).
m = slope
substituting into the slope and point (1, -7) equation gives
()y + 7) = -2/3 (x - 1)
Learn more about linear functions at:
brainly.com/question/29213643
#SPJ1
Cn anyone answer this question?
a sample of 1,400 american households was asked if they planned to buy a new car next year. of the respondents, 34% indicated they planned to buy a new car next year. construct a 90% confidence interval of the proportion of american households who expect to buy a new car next year.
The proportion of American households who expect to buy a new car next year is[0.3191, 0.3609].
The Four answer choices:
[0.3152, 0.3648]
[0.3191, 0.3609]
[0.3394, 0.3406]
[0.3354, 0.3446]
According to the survey, 1,400 American households are expected to buy a new car next year. According to respondents, 34% plan on buying a new car next year.
The confidence interval for a population proportion is given by the following equation for large random samples
Sample proportion ± z × [tex]\frac{\sqrt{(sample proportion(1-sample proportion)}}{n}[/tex]
whereas z is a multiplier number that comes from the normal curve and determines the level of confidence.
To Learn more about Such Similar Proportion Questions:
https://brainly.com/question/28014021
#SPJ4
The values in the table represent a linear function. x 1 2 3 4 f(x) 1 4 7 10 What is the function rule? Write the rule in function notation, using the slope-intercept form of a line. Enter your answer in the box.
The rule in expressed in function notation and slope-intercept form of a line is f(x) = 3x -2
How to express the rule in function notation using the slope-intercept form of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system
The equation of a line in slope-intercept form is y = mx + c.
Where m is the slope and c is the intercept
In order to obtain the equation of the line, we are going to pick any two convenient values of x and y from the table. Let's pick the first and last point. Thus:
point1: x₁ = 1, y₁ = 1
point2: x₂ = 4, y₂ = 10
Using the equation for 2 points:
y-y₁ / y₂-y₁ = x-x₁ / x₂-x₁
y-1 / 10-1 = x-1 / 4-1
y-1 / 9 = x-1 /3
3(y-1) = 9(x-1)
y-1 = 3(x-1)
y-1 = 3x -3
y = 3x -3+1
y = 3x - 2
Thus, f(x) = 3x -2
Therefore, the rule in function notation, using the slope-intercept form of a line is f(x) = 3x -2
Learn more about the slope-intercept form equation of a line on:
brainly.com/question/29213312
#SPJ1
for a lower tail test, the test statistic z is determined to be zero. what is the p-value for this test?
0.5 is the p-value for this Z -test .
What is the Z test's p-value?
For each test, the p-value is the likelihood that the null hypothesis will be correct, which is expressed as the probability of receiving a z-value . an absolute value at least as great as the one we actually observed in the sample data.P-value, or probability value, is the likelihood that a statistic will be at least this distant from the mean if the null hypothesis is assumed to be true. So it can be thought of as a conditional probability, to put it another way.For a lower tail test, the test statistic z is determined to be zero that means
P(z<0)
Then p-value is
p-value = P(z<0) = 0.5 (From z score table )
Learn more about p-value in Z test.
brainly.com/question/13686040
#SPJ4
Dados os polinomios:
X-2=
X-3=
X+1=
X+5=
Answer:
X-2=1
X-3=2
X+1=2
X+5=6
One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.
Answer:
7^{2} + x^{2} = 16^{2}
49+x^2=256
x^2=207
x=14.387=14
Answer:
14 units
Step-by-step explanation:
To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.
Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.
Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:
[tex]\begin{aligned}a^2+b^2&=c^2\\a^2+7^2&=16^2\\a^2+49&=256\\a^2+49-49&=256-49\\a^2&=207\\\sqrt{a^2}&=\sqrt{207}\\a&=14.3874945...\\a&=14\;\sf(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).
Standing on top of a 200 m building with the estimation angle of depression from the top of the building to a park bench on the ground to be 54°
How far is the park bench is from the foot of the building
Distance of Park bench from building is 275 m when angle of depression top of the building to a park bench on the ground.
What is the elevation and depression angle?
The angle between the horizontal and an item is referred to as its elevation. The line of sight of an observer would be upward. Angle of depression refers to the downward angle from the horizontal to an item.Angle of depression, θ = 54°
The height, h = 200
The distance of park bench from the building, d is given by
Tan θ = opposite / Adjacent
Tan 54 = d / 200
d = 200 * Tan 54
d = 200 * 1.3764
d = 275.28
D = 275 M
Learn more about Angle of depression
brainly.com/question/13514202
#SPJ13
For which equation will f(-2) = -6?
f(x) = x³ + x
f(x)=x² - 5x
f(x) = 4x³ + 6x² − x
f(x) = -3x³-4x² + 4x
The correct equation is f(x) = 4x³ + 6x² − x . A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
What is Function ?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
The value of the function is f(x). The slope of the line is m. b is either the function's value at x=0 or the position at which the line in the coordinate plane crosses the y-axis. x is the x-value. This form is called the slope-intercept form.
The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.
in question f(-2) = - 6
so x= -2
In function f(x) = 4x³ + 6x² - x
F(-2) = 4(-2)³ + 6 (-2)² - (-2) = - 6
To learn more about function refer :
https://brainly.com/question/22340031
#SPJ1
Write2 1/4 as an improper fraction in its simplest form
Answer:
9/4
Step-by-step explanation:
A sample of a radioactive isotope had an initial mass of 110 mg in the year 1990 and decays exponentially over time. A measurement in the year 1993 found that the sample's mass had decayed to 90 mg. What would be the expected mass of the sample in the year 2002, to the nearest whole number?
50 mg be the expected mass of the sample in the year 2002, to the nearest whole number
In 1990, a sample of a radioactive isotope had an initial mass of 110 mg and decayed exponentially over time.
A measurement in 1993 revealed that the sample's mass had decayed to 90
110 mg - 90 mg = 20 mg (amount decayed in the 3 total years)
20 mg ÷ 3 years = 6.6 mg decayed per year
6.6 × 9 years (years between 1993 and 2002) = 60 mg
110 mg - 60 mg = 50 mg, rounded to 50 mg
50 mg be the expected mass of the sample in the year 2002, to the nearest whole number
To learn more about whole number:
https://brainly.com/question/19161857
#SPJ4
a polling organization took a random sample of 1600 high school students to determine how many high school students have a part-time job. suppose 43% of all high school students have a part itme job. if the total population of high shool students is 15 million, is the 10% condition met? justify your answer
Based on this if we find the 10% of the population we have:
15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
For this case we have the following data given:
n = 1600 represent the sample size select.
dp = 0.43, which, represent the estimated proportion of high school students that have a part time job
N= 15000000 represent the total population size
And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition: “We need to have Bernoulli trials must be independent.
If that assumption is not satisfied, it is still okay to proceed if we have that the sample is smaller than 10% of the population.”"One of the conditions to be checked before using the normal model for sample proportions is, “The sample size, n, must be no larger than 10% of the population.
”So based on this if we find the 10% of the population we have:
15000000 × 0.1 = 1500000
And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
Learn more about Percentage:
https://brainly.com/question/24120406
#SPJ4
what 5x5(45x5)x3(56x34)
Answer: 32130000
Step-by-step explanation:
Multiply all of your numbers
Please help!! I don't get this
5. Based on arc and central angle relationship, m∠BCD is: B. 108°.
6. The length of arc PQ is: H. 3.14 m
7. Length of CF is: A. 6 cm.
What is the Formula for the Length of an Arc?To find the length of an arc, the formula to use is:
Arc length = ∅/360 × 2πr
5. Measure of arc AB = 72°
Measure of arc BD = 180 - measure of arc AB
Measure of arc BD = 180 - 72
Measure of arc BD = 108°
Measure of angle BCD = measure of arc BD [central angle theorem]
Measure of angle BCD = 108°
The answer is: B. 108°
6. ∅ = 60°
r = 3 m
Arc length = 60/360 × 2 × π × 3
Arc length = 3.14 m
The answer is: H. 3.14 m
7. Since the distance between the two chords, AB and CD are equal, therefore, AB = CD.
AB = CD = 12 cm
CF = 1/2(CD)
CF = 1/2(12)
CF = 6 cm.
Learn more about the arc measure on:
https://brainly.com/question/2005046
#SPJ1
The image of the point (9, -3)(9,−3) under a translation is (4, 1)(4,1). Find the coordinates of the image of the point (0, 2)(0,2) under the same translation.
Simplify the expression:
(–5.5 + 2p)(–2) =
The expression, (–5.5 + 2p)(–2), after simplification is 11-4p.
According to the question,
We have the following expression:
(–5.5 + 2p)(–2)
Now, in order to simplify this expression, we will multiply -2 into the bracket:
(Note that when a number or a variable is multiplied into the bracket then it is multiplied into every number or term within the bracket.)
-5.5*-2+2p*(-2)
We know that when two negative integers are multiplied then the result is positive and when one negative and one positive integer is multiplied then the result is negative.
11-4p
Hence, the expression, (–5.5 + 2p)(–2), after simplification is 11-4p.
To know more about expression here
https://brainly.com/question/14083225
#SPJ1
can you please help me find the measure of an exterior angle of a regular hexagon?
thanks
The measure of each exterior angles of a regular hexagon is 60 degrees
The interior angle of the regular polygon is
d = 180(n - 2) / n
Where d is the measure of interior angle
n is the number of sides
The number of sides in a regular hexagon
d = 180(6 - 2) / 6
= 180×4 / 6
= 720 / 6
=120 degrees
The each interior angle of the regular hexagon is 120 degrees
The measure of exterior angle = 180 - The measure of interior angle
= 180 - 120
= 60 degrees
Hence, the measure of each exterior angles of a regular hexagon is 60 degrees
Learn more about hexagon here
brainly.com/question/13293407
#SPJ1
Against the Wind a small plane flew 858 miles in 2 hours and 10 minutes the return trip only took 1 hour and 50 minutes what was the speed of the wind?what was the speed of the plane in still air?
Let the speed of the small plane be 'R'.
Let the speed of the wind be 'S'.
Plane's time against wind = 2 hours and 10 minutes = 13/6 hours.
Plane's time with wind = 1 hour and 50 minutes = 11/6 hours
Use formula;
Distance = speed x time
Against the wind:
858 = (13/6) (R-S) = (13/6) R - (13/6)S
With wind:
858 = (11/6)(R + S) = (11/6)R + (11/6)S
Multiplies each by 6.
5148 = 13R - 13S
5148 = 11R + 11S
Use elimination method
56628 = 143R - 143S (multiplies by 11)
66924 = 143R + 143S (multiplies by 13)
Further solving;
123552 = 276R
R = 432 miles/ hr. (speed of small plane )
And, S = 36 miles/ hr. (speed of wind)
To know more about the speed and time, here
https://brainly.com/question/13262646
#SPJ4
Solve the equation for w.
4w + 2 + 0.6w = −3.4w − 6
No solution
w = 0
w = 1
w = −1
Please help
Answer:
The answer is w= -1
Step-by-step explanation:
4w + 2 + 0.6w = -3.4w - 6
4.6w + 2 = -3.4w - 6
8w + 2 = -6
8w = -8
w = -1
Suppose you have 50 blueberry scones and 75 cranberry scones you wanted to make as many identical birds of scones as possible each bread should have an equal number of blueberry scones and an equal number of cranberries called what is the greatest number of bags you can fill explain
He can fill a total of 25 bags.
The values are,
50 blueberry scones total.
75 cranberry scones total.
For each bag to have an equal quantity of blueberry scones & cranberry scones, he must determine the maximum amount of bags he can fill.
H.C.F. of 50 & 75 is thus 25.
As a result, he can fill 25 bags.
There would be scones with blueberries in each bag of
50 ÷ 25 = 2
There would be cranberry scones for each bag, for a total of
75 ÷ 25 = 3
As a result, he may fill a total of 25 bags.
Learn more about the greatest common factor at
https://brainly.com/question/2190808?referrer=searchResults
#SPJ4
which combination of factors is most likely to produce a significant value for an independent-measures t statistic? group of answer choices small samples and small variance small samples and large variance large samples and small variance large samples and large variance
large samples and small variance are combination of factors is most likely to produce a significant value in standard deviation .
What is standard deviation?
The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. The second, though, is obviously more dispersed.t = x - μ/s/√n
t = √n( x- μ)/s
t will be significant when its value will be higher .
so, the answer is large samples and small variance .
Learn more about standard deviation
brainly.com/question/16555520
#SPJ4
Pls. Help. Lots of points plus Brainliest!
What is 12*12/2+13?
Step-by-step explanation:
[tex]\sf 12 \times \cfrac{12}{2} + 13[/tex]
First, let's divide 12 by 2:-
[tex]\sf 12 \times 6 + 13[/tex]Multiply 12 × 6 :-
[tex]\sf 72 + 13[/tex]Add 72 + 13:-
[tex]\sf 85[/tex]Therefore, your answer is 85!!
____________________
Hope this helps!
Have a great day!!
What is the rate of change of the function y = 5x + 4?
Answer:
The slope of y = 5x - 4 is 5.
Notice that the equation, y = 5x - 4, of the line is written in the form y = mx + b. Thus, it is in slope-intercept form. When the equation of a line is in slope-intercept form, we know that the slope of the line is equal to m, the coefficient of x.
In y = 5x - 4, the coefficient of x is 5. Thus, the slope of the line, y = 5x - 4, is 5.
How to solve completing the square with the formula a (X+h)2 + k
The solutions of the given quadratic equation are
[tex]x = 3 \ or \ x = -\frac{1}{4}[/tex]
What is quadratic equation?
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A two degree equation is known as Quadratic equation.
The given quadratic equation is
[tex]4x^2 - 11x - 3[/tex]
Now,
[tex]4x^2 - 11x - 3 = 0\\\\(2x)^2 - 2 \times 2x \times \frac{11}{4} + (\frac{11}{4})^2 - (\frac{11}{4})^2 -3 = 0\\\\(2x - \frac{11}{4})^2 = \frac{121}{16} + 3\\\\(2x - \frac{11}{4})^2 = \frac{121+48}{16}\\\\(2x - \frac{11}{4})^2 = \frac{169}{16}\\\\2x - \frac{11}{4} = \sqrt{\frac{169}{16}}\\\\2x - \frac{11}{4} = \pm\frac{13}{4}\\\\2x - \frac{11}{4} = \frac{13}{4} \ or \ 2x - \frac{11}{4} = -\frac{13}{4}\\\\2x = \frac{13}{4} + \frac{11}{4} \ or \ 2x = \frac{11}{4} - \frac{13}{4}\\\\[/tex]
[tex]2x = 6 \ or \ 2x = -\frac{1}{2}\\x = 3 \ or \ x = -\frac{1}{4}[/tex]
To learn more about quadratic equation, refer to the link-
https://brainly.com/question/25841119
#SPJ1
What is the y-intercept for x^3+8x^2+11x-20? How many zeros are their in the graph?
A cartographer graphed the locations of a light house and all of the islands in the vicinity. He positioned the light house at (-7,9) and the farthest island at (61,9). If each
unit on the graph represents 1 mile, then how far away from the light house is the farthest island?
miles
The distance between the light house and the farthest island is 68 miles
The distance between the light house and the farthest island can be calculated by using the distance formula
The distance formula is d=√((x2 – x1)² + (y2 – y1)²).
d=√((61 – (-7))² + (9 – 9)²)
d = √(61 +7)²
d = 68
If each unit on the graph represents 1 mile
There are 68 units in the graph, so the light house is 68 miles away the farthest island
Therefore, The distance between the light house and the farthest island is 68 miles
To learn more about distance formula refer here
https://brainly.com/question/7243416
#SPJ9
Help please I will give brainliest this is due in an hour!!!
Answer:
yes for helena: not sure for edwin
Step-by-step explanation:
for helena, it would be a 270 cc rotation and then scale
for edwin, again im not sure, but it could be a refection and then scale
an ant walks along a straight path. After traveling for 1 meter it stops, turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a distance of half a meter. Again, the ant turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a quarter of a meter. The ant continues in this manner indefinitely.
a) How many turns will the ant have made after covering a distance of 63/32 meters?
b)How far will the ant "eventually" travel?
The description of the motion of the ant which is a geometric series is as follows;
a) After covering 63/32 meters, the ant will have made 6 turns
b) The distance the ant will eventually travel is 2 meters
What is a geometric series?Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.
The distances traveled by the ant is a geometric progression of the form;
aₙ = a·rⁿ⁻¹The sum of the distance is given by the sum of the geometric progression as follow;
[tex]S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}[/tex]
Where;
aₙ = The distance traveled in the nth turn
Sₙ = The sum of the distances
a = The first term = 1 meter
r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5
a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;
[tex]S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}[/tex]
31.5 = 32 × (1 - 0.5ⁿ)
32 × 0.5ⁿ = 32 - 31.5 = 0.5
0.5ⁿ = 0.5 ÷ 32
n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6
After covering a distance of 63/62 meters, the ant will have made 6 turnsb) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;
[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]
Which gives;
[tex]S_{\infty} = \dfrac{1}{1-0.5} = 2[/tex]
The distance the ant eventually travels is 2 meters
Learn more about geometric series and progression here:
https://brainly.com/question/27027925
#SPJ1
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p
How to determine the equations with the same solution?The equation is given as
2.3p – 10.1 = 6.5p – 4 – 0.01p
Evaluate the like terms on the right-hand side
So, we have the following representation
2.3p – 10.1 = 6.49p – 4
The above equation is indicated in option (b)
Multiply through the equation by 100
So, we have:
100(2.3p – 10.1 = 6.5p – 4 – 0.01p)
Evaluate
230p – 1010 = 650p – 400 – p
The above equation is indicated in option (c)
Hence, the equations with the same solution are (b) and (c)
Read more about equivalent equations at
brainly.com/question/2972832
#SPJ1