The true statements are:
Logarithms may be used to linearize data.
Powers may be used to linearize data. Roots may be used to linearize data.
If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.
Another format for writing exponents is in logarithms.
The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.
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Answer:
A.Logarithms may be used to linearize data.
B.Powers may be used to linearize data.
C.Roots may be used to linearize data.
E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.
Step-by-step explanation:
Yes
22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
0 0
103"
98
109⁰
110"
18
17
19 20
14
16
13
15
11
10
12
9
63
5
m
Answer: [tex]110^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle 20=62^{\circ}[/tex] (linear pair)
[tex]m\angle 11=70^{\circ}[/tex] (angle sum in a triangle)
[tex]m\angle 12=110^{\circ}[/tex] (linear pair)
The binomial 5x – 4 is a factor of 10x^2 – 23x + 12. What is the other factor?
Answer:
2x - 3
Step-by-step explanation:
10x²-23x+ 12 ÷ 5x-4
Answer:
2x - 3
Step-by-step explanation:
[tex](5x-4)(2x-3)=10x^{2} -23x+12[/tex]
Hope this helps
What is the range of the following set of ordered pairs?
{(-1,7), (6,2), (0,4), (5,2), (-3,1)}
O a. {7,2,4,1}
b.
O c.
O d.
{-1,6, 0, 5, -3}
{-1, -3, 1, 7,6}
{2, 0, 4, 5)
Answer:
range of the given set is { 7,2,4,2,1}
Step-by-step explanation:
. Hello !
When the above kind of set is given the second values of each elements belongs to the range or the y whereas, the first values of the elements belongs to the domain or x.
Thus, domain = {-1,6,0,5,-3}range ={7,2,4,2,1}Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross multiplied to get 240 = 240. why is this?
The cross products of the proportion are equal.
According to the question, Sonny's equation can be written as follows.
16/x = 48/15
Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.
16/5 = 48/15
When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.
16*15= 48*5
The values of both the products are equal which is 240.
Therefore, because the cross products of the proportion are equal.
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Consider the graph of the function f(x)=2^x which statements describe key features of function g if g(x)=3f(x)?
it's multiple choice, select all the correct answers:
y-intercept at (0,1)
y-intercept at (0,3)
horizontal asymptote of y=3
x-intercept at (3,0)
horizontal asymptote of y=0
no x-intercept
Answer:
y-intercept at (0,3)horizontal asymptote of y=0no x-interceptStep-by-step explanation:
The y-intercept of f(x) is (0,1), so the y-intercept of g(x) is (0,3).
f(x) has a horizontal asymptote at y=0. and so does g(x).
f(x) does not have an x-intercept, and neither does g(x).
Answer:
y-intercept at (0, 3)
horizontal asymptote of y = 0
no x-intercept
Step-by-step explanation:
Definitions
y-intercept: the point(s) at which the curve crosses the y-axis (when x=0).
x-intercept: the point(s) at which the curve crosses the x-axis (when y=0).
Asymptote: a line that the curve gets infinitely close to, but never touches.
Given function:
[tex]f(x)=2^x[/tex]
Properties of function f(x):
y-intercept at (0, 1)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞[tex]\textsf{If }g(x)=3f(x):[/tex]
[tex]\implies g(x)=3(2)^x[/tex]
Properties of function g(x):
y-intercept at (0, 3)As x → -∞, y → 0 therefore there is a horizontal asymptote at y=0 and no x-intercept (since the curve never crosses the x-axis).As x → ∞, y → ∞Therefore the true statements are:
y-intercept at (0, 3)horizontal asymptote of y = 0no x-interceptOn a typical day, brianne uses her computer for 3 hours and her hair dryer for 10 minutes. what is the total cost of using both appliances for 6 days?
The total cost of using both appliances for 6 days is about 3000-4000 watt.
According to the statement
Brianne uses her computer for 3 hours
Brianne uses hair dryer for 10 minutes
Now we use the formula
C = wtc/1000
substitute the values in it
then
C = 600*6/1000
C = 3.6
and same for hair dryer
So, The total cost of using both appliances for 6 days is about 3000-4000 watt.
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Solve the system of equations using substitution. 6x=−6y−30−3x−3y=15
The system of equation have an infinite solution.
How to solve system of equation?6x = -6y - 30
-3x -3y = 15
Therefore, let's rearrange the system of equations.
6x + 6y = -30
-3x - 3y = 15
multiply equation(ii) by 2
6x + 6y = -30
-6x - 6y = 30
add the equations
0 = 0
Since 0 = 0 for any value of x, the system of equations has infinite solutions.
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A sphere of radius 222 inches is cut by three planes passing through its center. This partitions the solid into 888 equal parts, one of which is shown above. The volume of each part is t\pitπt, pi cubic inches. What is the value of ttt?
The value of t based on the information about the sphere is 1.3π.
How to calculate the value?It should be noted that the volume of a sphere is 4/3πr³. In this case, it's divided into 8 equal parts.
Volume of each part = 1/8 × 4/3πr³
= 1/8 × 4/3 × π × 8
= 4/3π
= 1.3πin³
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Let k be the largest integer such that 343/7^k is an integer. What is the remainder when 343/7^k is divided by 7
Answer:
1
Step-by-step explanation:
The given ratio will be the remaining factor of 343 after factors of 7 have been removed. The value of interest is that factor, modulo 7.
Factors of 343343 = 7·7·7 = 7³
RatioThe value of k is the power of 7 in the factorization of 343, so we have ...
k = 3
and ...
343/7³ = 1
RemainderThe remainder when this ratio is divided by 7 is ...
1 mod 7 = 1
The remainder when 343/7^k is divided by 7 is 1.
CALLING ALL EXPERTS PLS ILL GIVE BRAINLIEST
On Monday, Gian spent 5 minutes watching videos. On Tuesday, he spent 25 minutes watching videos. Place points on the graph to show Gian's activity for Monday and Tuesday.
Given that DRWH is a parallelogram, determine the values of x and y.
Answer:
the opposite sides of the parallelogram are equal.
so DR = HW mean : 2 y + 2 = 3 y - 9
3y - 2y = 9+2
y = 11
RW = y+4 = 11+4 = 15
DH = RW
so, 3 x + 6 = 15
3x = 15-6 = 9
x = 3
I think of a number. i add 7 to it and then divide by 10. my answer is 3.8. what number did i start with
Answer:
31
Step by step:
You need to do it in reverse:
Devidng Becomes multiplying so its 3.8x10=38
Then same for this + = - do its 38-7=31
So answer is 31
If im trying to get 20 million dollars and i get 300$ per second how long will it take to reach my goal
Answer:
66666.66 seconds, or 1111.12 minutes
Step-by-step explanation:
Since you are earning 300 dollars per second, and you want to earn 20 million, or 20000000 dollars, you can divide 20 million by 300 to get the time it takes to reach your goal in terms of seconds:
[tex]\frac{20000000}{300}=66666.66[/tex] seconds
It will take you approximately 66667 seconds to reach your goal. If we divide by 60 to get this in terms of minutes, we get that it takes about 1111.12 minutes
Answer:
66.666.6 seconds
1,111.11 minutes
18.518518518499999 hours
Step-by-step explanation:
20,000,000÷300
=66,666.6666666
Change in minutes= 66,666.6666666÷60 =1,111.1111111
Change in hours= 1,111.11111111÷60=18.518518518499999
If I start with the number 7 and count by 4s, the following sequence is obtained: 7, 11, 15, 19, 23, and so forth. A new sequence is formed when I start with a different number and count by a different number. Suppose the 2nd number of the new sequence is 8 and the 5th number is 17. What is the 10th number of the new sequence
Answer:
a₁₀ = 32
Step-by-step explanation:
the sequence is arithmetic since there is a count on , a common difference
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₂ = 8 and a₅ = 17 , then
a₁ + d = 8 → (1)
a₁ + 4d = 17 → (2)
subtract (1) from (2) term by term to eliminate a₁
3d = 9 ( divide both sides by 3 )
d = 3
substitute d = 3 into (1)
a₁ + 3 = 8 ( subtract 3 from both sides )
a₁ = 5
Then
a₁₀ = 5 + (9 × 3) = 5 + 27 = 32
If d(4)= 68. thus, joe travels 68 mi in 4 hours. then how much mi does joe travel in 45 minutes
Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.
How many miles did joe travel in 45 minutes?Given that;
Joe travels 68 miles in 4 hoursjoe travel x miles in 45 minutesFirst, we convert 4 hours to minutes: 4 × 60 = 240 minutes
Now,
Joe travels 68 miles in 240 minutes
Joe will travel x miles in 45 minutes
We have;
x × 240 = 68 × 45
x × 240 = 3060
x = 3060 / 240
x = 12.75 miles.
Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.
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A point in quadrant iii is reflected across the y-axis. what is true about the new location? check all that apply.
The new location is in Quadrant IV and The new location has a positive x-coordinate and a negative y-coordinate. Hence, option b and c are correct.
What are Coordinates?The horizontal and vertical addresses of any pixel or addressable point on a computer display screen are, respectively, represented by the x and y coordinates.The pixel (pixel 0) on the far left of the screen serves as the beginning point for the x coordinate, which is a predetermined distance along the horizontal axis of a display.The y coordinate is a specified range of pixels along a display's vertical axis, starting at the top pixel (pixel 0). The x and y coordinates work together to pinpoint any particular pixel location on the screen.As values relative to any beginning point on the screen or any portion of the screen, such as an image, x and y coordinates can also be given.Solution:
If the point were to reflect across the y-axis, it would fall into the fourth quadrant.
Additionally, the coordinates will be positive for the x-axis and negative for the y-axis.
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I hope you are trying to ask the question below:
Question
A point in Quadrant III is reflected across the y-axis. What is true about the new location? Check all that apply.
a. The new location is in Quadrant II.
b. The new location is in Quadrant IV.
c. The new location has a positive x-coordinate and a negative y-coordinate.
d. The new location has a negative x-coordinate and a positive y-coordinate.
e. The new location has negative x- and y-coordinates.
2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?
Se calcula que la aceleración es - 8,35 m/s.
¿Qué es la aceleración?Ahora sabemos lo siguiente de la pregunta;
Velocidad inicial (u) = 60 km/h o 16,7 m/s
Tiempo empleado (t) = 2 s
Dado que;
v = tu + en
v = 0 m/s porque el carro se detenía
tu = -en
a = -(u/t)
a= -1(6,7 m/s/2 s)
a =- 8,35 m/s
La aceleración es negativa porque la velocidad disminuye con el tiempo.
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this is a question on a review assignment that i’m stuck on , my summer school teacher said i could get help if i needed. any help would be greatly appreciated
Answer:
volume = 3549.203
Step-by-step explanation:
you need to subtract the volume of the cylinder from the volume of the box
cylinder:
[tex]vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi[/tex]
box:
[tex]vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120[/tex]
subtract:
[tex]5120-500\pi =3549.203[/tex]
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1
The graphed inequality is:
[tex]y \geq \frac{1}{3}*x - 1[/tex]
Which linear inequality is represented by the graph?We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:
y ≥ line.
Now we need to get the linear equation.
It is of the form;
y = a*x + b
Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.
And knowing that the line passes through (0, -1) and (3, 0), the slope is:
[tex]a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}[/tex]
Then the inequality is:
[tex]y \geq \frac{1}{3}*x - 1[/tex]
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What quadrant does the terminal side of this angle lie in?
A) Quadrant III
B) Quadrant II
OC) Quadrant IV
OD) Quadrant I
Answer:
Quadrant III
Step-by-step explanation:
Top-right quadrant = QI
Top-left quadrant = QII
Bottom-left quadrant = QIII
Bottom-right quadrant = QIV
From points a and b on level ground the angles of elevation of the top of a building are 25degree and 37 degree respectively. if [ab] =57m, calculate to the nearest metre, the distances of the top of the building from a and b if they are both on the same side of the building
The distance of the top of the building from a is 163m and that from b is 115m .
Calculating the Perpendicular Distance of the Top From Ground
It is given that the angle of elevations of the building top from a and b are 25° and 37° respectively.
ab = 57m
Let the top of the building be point c and the distance between the building and the point b be x. Then, from the figure, we can deduce the following,
In Δacd, tan 25° = cd/ad
⇒ 0.4663 = cd /(x+57)
⇒ cd = 0.4663(x+57) ......................... (1)
In Δbcd, tan 37° = cd/x
⇒ 0.7536 = cd/x
⇒ x =cd / 0.7536 .......................... (2)
Solving for the Distance cd
Substitute the value of in equation (2) to equation (1) to get,
cd = 0.4663 ((cd/0.7536)+57)
cd = 0.4663(cd+42.9552)/0.7536
0.7536cd = 0.4663cd + 20.03
0.7536cd - 0.4663cd = 20.03
0.2906cd = 20.03
cd = 20.03/0.2906
Thus, the distance cd ≈ 68.93m
Finding the Distance cb and Distance ca
In Δacd, sin25° = cd/ca
⇒ 0.4226 = 68.93/ca
ca = 68.93/0.4226
ca = 163.10
∴ The distance ca ≈ 163m
Similarly, in Δbcd, sin37° = cd/cb
⇒ 0.6018 = 68.93/cb
cb = 68.93/0.6018
cb =114.54m
∴ The distance cb ≈ 115m
Therefore, the points a and b are at a distance of 163m and 115m respectively from the top of the building.
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what is the product of the fraction below x/x-5 * 2x/x+4
Answer:
A
Step-by-step explanation:
[tex]\frac{x}{x-5}[/tex] × [tex]\frac{2x}{x+4}[/tex] ( no factors cancel on numerator/ denominator )
= [tex]\frac{x(2x)}{(x-5)(x+4)}[/tex]
= [tex]\frac{2x^2}{x^2-x-20}[/tex]
x =x=x, equals
^\circ
∘
Answer:
x = 25°
Step-by-step explanation:
Hello!
25° and x° are vertical angles, therefore they are equal to each other.
Vertical angles are angles formed by two intersecting lines that are non-adjacent.
The angle to the right of 80° would be 55°, because the sum of angles on a line is 180°.
Angle x would be 25° because the other straight line contains angles 80°, 50° and x°.
Write the equation of the line that is parallel to the line y = -7/4x - 2 through the point (4,-2).
Answer:
y = - [tex]\frac{7}{4}[/tex] x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{7}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = - [tex]\frac{7}{4}[/tex]
• Parallel lines have equal slopes , then
y = - [tex]\frac{7}{4}[/tex] x + c ← is the partial equation
to find c substitute (4, - 2 ) into the partial equation
- 2 = - 7 + c ⇒ c = - 2 + 7 = 5
y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line
what is the ration that equivalent to 6/7
An equivalent ratio of the given ratio 6/7 is; 12/14
How to find Equivalent Ratios?To find equivalent ratios, we will just multiply the given ratio by any number that is equivalent to 1 such as 2/2, 3/3, 4/4, 5/5 e.t.c
Now, we want to find equivalent ratio of 6/7. Applying the procedure above, we can say that;
Equivalent ratio = (6/7) * (2/2) = 12/14
Thus, an equivalent ratio of 6/7 is; 12/14
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Factor this polynomial.
-3x²-5x-2
A. (-3x+2)(x+1)
B. (3x-2)(x-1)
C. (3x+2)(x-1)
D. -1(3x+2)(x+1)
Answer: D. -1(3x+2)(x+1)
Step-by-step explanation: First, use the F.O.I.L. method (First, Outer, Inner, Last). Then combine all your like terms. After, multiply the whole outcome by negative one. So, 3[tex]x^{2}[/tex] turns into -3[tex]x^{2}[/tex]; 5x turns into -5x; and 2 is -2. BOOM! you got the exact right answer.
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by where the measurements are in meters. What is the width of the cooling tower at the base of the structure
The width of the cooling tower is 36 meters.
What is a cooling tower?A cooling tower is a vent that is built for the purpose of releasing waste heat back to the atmosphere.
Now we can model the system using; x²/324 - (y² - 90)²/1600. Thus, the width can be obtained from;
2 × ✓324
= 2 × 18
= 36 meters
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Missing parts;
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus quantity y minus 90 end quantity squared over 1600 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.
36 meters
48 meters
80 meters
89 meters
The volume of this cylinder is 7500cm3.
find the missing length x.
give your answer rounded to 1 dp.
V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...
Missing: 7500m Give SF.
In the case of a hollow cylinder, we measure two radii, one for the inner circle and one for the outer circle formed by the base of a hollow cylinder. Suppose, r1 and r2 are the two radii of the given hollow cylinder with 'has the height, then the volume of this cylinder can be written as; V = πh(r12 – r22).
To find the volume of a box, simply multiply the length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.
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Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 runs. In the last 444 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs.
Write an inequality to determine the number of runs per inning, ppp, Kim's team could have scored.
Find the minimum whole number of runs per inning Kim's team could have scored.
The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17
How to write an Inequality?
Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.
The team already has 6 runs. Now add the additional runs to this to get;
4r + 6
The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;
4r + 6 > 17
Subtract 6 from each side to get;
4r + 6 - 6 > 17 - 6
4r > 11
Divide both sides by 4 to get:
r > 2.75
Approximating to a whole number gives;
r > 3
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Answer:
6+4p> 17
3
Step-by-step explanation:
determine whether the following pairs of line will be parallel perpendicular or neither x=y ;x=y+1
Answer:
parallel because they have the same slope
Step-by-step explanation: