Answer:
C) g(x) is stretched vertically by a factor of 3 and translated to the right 7 units compared to ƒ(x).
Step-by-step explanation:
Notice that by transforming [tex]f(x)=log_5\,(x)[/tex] into [tex]g(x)=3\,log_5\,(x-7)[/tex] we have performed the following transformations:
a) a horizontal shift to the right 7 units by subtracting 7 from the x-variable, and
b) stretching the full function vertically by a factor of 3, by multiplying the full function by 3.
Therefore, our answer matches answer C in the list of possible options
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B
You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (km) Number of animals seen Rivers Edge 3 8 Wooded Marsh 8 20 Canyon Creek 15 35 Order your hikes by number of animals seen per kilometer from least to greatest.
Answer:
The hikes ordered from the least to the greatest number of animals seen per kilometre
Canyon Creek < Wooded Marsh < Rivers Edge
2.33 < 2.50 < 2.67
Step-by-step explanation:
Question Properly written
You went on three hikes. On each hike, you saw a different number of animals:
Hike | Length of hike (km) | Number of animals seen
Rivers Edge | 3 | 8
Wooded Marsh | 8 | 20
Canyon Creek | 15 | 35
Order your hikes by number of animals seen per kilometer from least to greatest.
Solution
Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)
Rivers Edge
Number of animals seen = 8
Length of hike in kilometres = 3
Number of animals seen per kilometre = (8/3) = 2.67
Wooded Marsh
Number of animals seen = 20
Length of hike in kilometres = 8
Number of animals seen per kilometre = (20/8) = 2.50
Canyon Creek
Number of animals seen = 35
Length of hike in kilometres = 15
Number of animals seen per kilometre = (35/15) = 2.33
Ordering the hikes by number of animals seen per kilometer from least to greatest.
2.33 < 2.50 < 2.67
Canyon Creek < Wooded Marsh < Rivers Edge
Hope this Helps!!!
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 milliliters of a mixture that contains 23%vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Vinegar: 40 milliliters
Italian dressing: 280 milliliters
Step-by-step explanation:
I jus took the test :)
solve for b: 4 1/3b+b=6b–10.4
Answer:
-7 8/10 = b
Step-by-step explanation:
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10. Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies to b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -------------
4(10)
Then b = -312/40, or -156/20, or -78/10, or -7 8/10 = b
The value of b from the expression given will be b= -7 8/10 .
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given an expression as;
4 1/3b + b = 6b–10.4
Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:
(11/3)b + b = 6b - 104/10.
This simplifies as;
b( (11/3) + 1 - 6) = 104/10, or
b(11/3 - 15/3) = 104/10, or
b( -4/3 ) = 104/10
Multiplying both sides by -3/4 isolates b, as desired:
-3(104)
(-3/4)(-4/3)b = -4(10)
Then b = -312/40,
or -156/20,
or -78/10,
or -7 8/10 = b
Therefore the value of b from the expression given will be b= -7 8/10 .
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Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the
solution set on a number line.
4m + 24.25 < 34.25
Answer:
126
4m + 24.25 < 34.25
Answer:
Idek I just need points
Step-by-step explanation:
Umm
If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?
Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].
[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
If sin θ = 4/5.
The value of the cosine is negative. Then the cosine of angle θ is given as,
cos θ = -√(1 - sin²θ)
cos θ = - √[1 - (4/5)²]
cos θ = - √[9/25]
cos θ = - 3/5
θ = 143.13°
The value of the tangent of angle θ is calculated as,
⇒ tan θ
⇒ tan 143.13
⇒ - 0.75
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
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The fourth and fifth graders at Jackson Elementary had a competition to see who could
recycle the most newspaper in a 3-day period. Use the chart to answer the question,
The students at Lee Elementary collected 3 times as much as the students at Jackson. How
many pounds did the students at Lee recycle?
Answer: the elementary 45
Step-by-step explanation: if you need anything else let me know
what is the product of the reciprocal of 5,the reciprocal of 18, and the reciprocal of -3 please provide a explanation :)
Answer:
1/5, 1/18, and 1/-3
Step-by-step explanation:
a reciprocal reverses a fraction
for example:
5=5/1
reciprocal=1/5
hope this helps:)
Answer:
1/5, 1/18, -1/3
Step-by-step:
The simple answer is just to to make that number under one.
Example: 5 is the reciprocal then 1/5 was the start number. Vise-versa. Hope this helps!
Sallie read an average of 1.5 books each week during the year. Part A: Write an equation that represents the amount of books that she read (y) per week (x). Part B: How many total books will Sallie read throughout the 52 week year?
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78
A computer technician charges a fixed amount for a repair, plus an additional amount per hour. The equation below describes y, the total amount the technician charges, in dollars, for a repair that takes x hours.
y=45x+75
What is the meaning of the y-intercept of the equation?
A.It means the technician charges a fixed amount of $45 for the repair
B.It means the technician charges a fixed amount of $75 for the repair.
C. It means the technician charges $45 per hour for the repair.
D.It means the technician charges $75 per hour for the repair.
Answer:B
Step-by-step explanation:
The x next to the 45 represents that if we were to put this in a graph the line would start at 45 meaning that the 45 could be the fee for looking at whats broken and the $75 is the payment for fixing it giving us the Y-intercept(out total payment)
In the given equation y=45x+75, the y intercept 75 represents the technician charges $45 per hour for the repair. Option C is correct.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
A computer technician charges a fixed amount for a repair, plus an additional amount per hour
y=45x+75
y equal to forty five x plus seventy five
In the given equation the x represents number of hours and 75 represents fixed amount.
45 represents the additional amount per hour.
In the equation y=45x+75
45 is the slope and 75 is the y intercept.
75 represents the technician charges a fixed amount of $75 for the repair.
Hence option C is correct, the technician charges $45 per hour for the repair.
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Please help!!! Question is below
Answer:
A. Obtuse
Step-by-step explanation:
Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.
Also it is not B an acute because not all the angles are acute.
Hence, the answer is A. Obtuse
Answer:
[tex]\boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
An obtuse triangle is a triangle with one obtuse angle and two acute angles.
An obtuse angle is an angle greater than 90 degrees.
An acute angle is an angle less than 90 degrees.
Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.
Angles B and A are acute angles, they are less than a right angle or 90 degrees.
SOMEONE PLEASE HELP A GIRL OUT BRAINLIEST! The diameters of Breaburn apples are normally distributed with a mean of 8.2cm and a standard deviation of 2.8cm. If you had a shipment of 2000 apples, how many apples would have a diameter: a) smaller than 5.9cm? b) larger than 10.2cm?
Answer:
a. 0.2061*2000 apples = 412.20 or about 412 apples.
b. 0.2389*2000 apples = 477.8 or about 478 apples.
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).
The parameters for this normal distribution are (without using units):
The mean, [tex] \\ \mu = 8.2[/tex].
The standard deviation, [tex] \\ \sigma=2.8[/tex]
We need to use z-scores, given by:
[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]
For a diameter smaller than 5.9cm, we have:
[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]
The value for z:
[tex] \\ z = -0.82142 \approx -0.82[/tex]
Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).
Then, P(z<-0.82) = 0.2061
How many apples would have a diameter: a) smaller than 5.9cm?
The answer is 0.2061*2000 apples = 412.20 or about 412 apples.
How many apples would have a diameter: b) larger than 10.2cm?
We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.
[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]
[tex] \\ z = 0.71428 \approx 0.71[/tex]
Then, P(z<0.71) = 0.7611
But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):
P(z>0.71) = 1 - P(z<0.71)
P(z>0.71) = 1 - 0.7611
P(z>0.71) = 0.2389
The answer is 0.2389*2000 apples = 477.8 or about 478 apples.
bob has to pack 192 boxes. this morning, he packed 84 boxes in 3 1/2 hours. if bob continues at the same rate, how long will it take him to pack the remaining boxes?
Answer:
4.5 hours
Step-by-step explanation:
Total number of boxes = 192
84 boxes = 3.5 hours
Remaining boxes = (192 - 84) = 108 boxes
84 boxes = 3.5 hours
1 box = (3.5 ÷ 8) hours
108 boxes = 3.5 × 108/84
108 boxes = 4.5 hours (Answer)
Answer:
4.5 hours! The person above me is is correct.
Step-by-step explanation:
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2003 was 234 million
Step-by-step explanation:
In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:
p(y)=ir^t
According to the given data:
p(y)=233 million
i=231 million
t =1999-1991
Therefore, 233 million=231 million r^(1999-1991)
(233 million/231 million)^(1/8)=r
p(y)=231 million(233 million/231 million)^((y-1991)/8)
Therefore, in 2003 p(2003)=231 million(233 million/231 million)^((2003-1991)/8)
p(2003)=231 million(233 million/231 million)^(1.5)
p(2003)=234 million
The population in 2003 was 234 million
When a figure appears to have depth as you look at it, it is called _____________.
Answer:
Step-by-step explanation:
Three-dimensional, or perspective view
The figure appears to have depth as you look at it, it is called Perception of Depth.
What is depth perception?Depth perception is the way in which some animals, such as humans, can tell if a object is close or far away from them.
Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.
Having two eyes that is having binocular vision gives animals an accurate sense of depth.
Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.
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i need help i need help
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
When we roll a die we get 1,2,3,4,5,6
When get flip a coin get get H or T for heads or tails
The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?
Answer:
A.) 119
420 * 0.85 is 357 and 357 * 1/3 is 119
Hope this helps ^^
Answer:
119
Step-by-step explanation:
The total number of people who had taken the survey is 420 wich is equivalent to 100%.
The percentage of people who drink coffee is 85%.
●●●●●●●●●●●●●●●●●●●●●●●●
Let x be the number of people drinking coffee
● 420 => 100%
● x => 85%
These values are proportional so we can cross-multiply them
● x*100 = 420*85
● x = (420*85)÷100
● x = 357
The number of people who drink coffee is 357.
■■■■■■■■■■■■■■■■■■■■■■■■■
Let y be the number of people who drink black coffee.
y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.
● To get y multiply 1/3 by the total number of people drinking coffee (357)
●y = (1/3)*357
● y = 119
119 is the number of people who drink black coffee
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles
Answer:
A. 34 miles
Step-by-step explanation:
First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.
The answer to this problem is A. 34 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.
Let 'y' be the total amount and 'x' be the number of miles. Then we have
y = 3.50x + 1.65
If Mohammad wants to spend, at most $60. Then the number of miles is given as,
60 = 3.50x + 1.65
3.50x = 58.35
x = 16.67
x ≈ 17 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
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Which number is a rational number?
Answer:
[tex]\boxed{17.156}[/tex]
Step-by-step explanation:
A rational number can be written in the form p/q, where p and q are whole integers.
[tex]\sqrt{15} \approx 3.87298334621...\neq \frac{p}{q}[/tex]
[tex]2.6457513110... \neq \frac{p}{q}[/tex]
[tex]17.156=\frac{4289}{250}[/tex]
[tex]\sqrt[3]{85} \approx 4.39682967216... \neq \frac{p}{q}[/tex]
17.156 is a rational number.
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 10 centimeters. A. 600 square centimeters B. 900 square centimeters C. 300 square centimeters D. 2,000 square centimeters
Answer:
The correct answer is A. 600 square centimetres
Step-by-step explanation:
Let's recall that the formula of the surface area of a cube is:
A = 6s², where s is the side length of the cube.
Replacing with the value we know, we have:
A = 6 * 10²
A = 6 * 100
A = 600 square centimetres
The correct answer is A. 600 square centimetres
Which two solid figures have the same volume?
Answer:
b
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Answer:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Step-by-step explanation:
[tex]2x - 5 \le -x +12[/tex]
[tex]2x - 5 +5\le -x +12+5[/tex]
[tex]2x\le -x+17[/tex]
[tex]3x \le17[/tex]
[tex]$x \le \frac{17}{3} $[/tex]
We have
[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]
Interval notation:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Select the correct answer from the drop-down menu. Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, each student can prepare parallelogram(s).
Answer:
50
Step-by-step explanation:
this is confusing and I'm a straight A student in highschool.I'm a junior to be exact
Answer:
the correct answer is that the students infinitely many parallelograms
find the nth term of this sequence, 3, 6, 9, 12
Answer:
[tex]\large\boxed{\sf n^{th} \ term =3n}}[/tex]
Step-by-step explanation:
Find common difference from subtracting any term in the sequence with the previous term.
[tex]\large{\sf 6-3}=3[/tex]
Apply nth term formula.
[tex]\large{\sf a_n=a_1+(n-1)d[/tex]
[tex]\large{\sf d=3 \ \ a_1=3}[/tex]
[tex]\large{\sf a_n=3+(n-1)3[/tex]
[tex]\large{\sf a_n=3+3n-3[/tex]
[tex]\large{\sf a_n=3n}[/tex]
Answer:
a(n) = 3 + 3(n -1)
Step-by-step explanation:
Note that each new term is found by adding 3 to the previous term. The first term is 3 and the common difference is 3. Thus, the formula for the nth term is
a(n) = a(1)+d^(n - 1)
or, in this case,
a(n) = 3 + 3(n -1)
Use the formula S = 40,000(1.06)' to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
C. $47,641
d. $50,499
Answer: 50,499
Step-by-step explanation:
Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.
please I need help with this can anyone help me out
Answer:
x=110.6
Step-by-step explanation:
sine = opposite/hypotenuse
sin(19) = 36/x
Since we're trying to find x, you have to isolate it.
x = 36/sin(19)
Plug 36/sin(19) into a calculator and you will get 110.5759255
The question tells you to round to the nearest tenth so the answer is 110.6
30 points will give brainliest to whoever gets it right
Answer:
8(.5)^x
Step-by-step explanation:
This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^xCharley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether
Answer:
$810 total raised
Step-by-step explanation:
Charley:
12 * $18 = $216
Maria:
15 * $18 = $270
Paul:
18 * $18 = $324
Total:
$324 + $270 + $216 = $810
Answer:
pls appreciate my efforts by markinf my answer as the brainliest......
Step-by-step explanation:
Charley raised = 12 *18 =$216
Maria raised =15*18 = $270
Paul raised = 18*18 = $ 324
total amount raised = $ 810
What is the domain and range of each relation?
Drag the answer into the box to match each relation.
A relation mapping diagram. Element x contains negative 2, 0, 2, and 4. Element y contains negative 3, negative 1, and 0. Negative 2 maps to negative 3 and negative 1. Zero maps to 0. Two maps to 0. Four maps to negative 3.
Points plotted on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. Five points are plotted. Begin ordered pair negative 3 comma 1 end ordered pair. Begin ordered pair negative 1 comma negative 1 end ordered pair. Begin ordered pair 0 comma 0 end ordered pair. Begin ordered pair 3 comma 2 end ordered pair. Begin ordered pair 3 comma 3 end ordered pair.
Answer:
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex] and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex] and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
Step-by-step explanation:
Domain is the set of input values or x-values.
Range is the set of output values or y-values.
According to the relation mapping diagram, the relation is
[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]
So,
[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]
[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]
In the graph 5 points are plotted. So, the relation is
[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]
So,
[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]
[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]
