Answer:
Circumference:
Half of 6 is 3 so
2 x 3 x 3.14 = 18.84
Area of A circle:
Radius is 3, so 3^2 = 9
9 x 3.14 = 28.26
4. Sue had $58 in her account. What is her account balance after buying a pair of
shoes that cost $78? *
Answer:
-20
Step-by-step explanation:
58-78=-20
let f(x)=ln(x^2) and g(x)=√e^3x. find fog(x) and its domian
Answer:
[tex](f\ o\ g)(x) = 3x[/tex]
[tex]-\infty < x < \infty[/tex]
Step-by-step explanation:
Given
[tex]f(x) = ln(x^2)[/tex]
[tex]g(x)=\sqrt{e^{3x}}[/tex]
Solving (a): (f o g)(x)
This is calculated as:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = ln(x^2)[/tex]
[tex]f(g(x)) = \ln((g(x))^2)[/tex]
Substitute: [tex]g(x)=\sqrt{e^{3x}}[/tex]
[tex]f(g(x)) = \ln(\sqrt{e^{3x}})^2[/tex]
Evaluate the square
[tex]f(g(x)) = \ln(e^{3x})[/tex]
Using laws of natural logarithm:
[tex]\ln(e^{ax}) = ax[/tex]
So:
[tex]f(g(x)) = \ln(e^{3x})[/tex]
[tex]f(g(x)) = 3x[/tex]
Hence:
[tex](f\ o\ g)(x) = 3x[/tex]
Solving (b): The domain
We have:
[tex]f(g(x)) = 3x[/tex]
The above function has does not have any undefined points and domain constraints.
Hence, the domain is: [tex]-\infty < x < \infty[/tex]
the number of bacteria present in a culture after t minutes is given as b=10e
Answer:
Step-by-step explanation:
I have no clue I just need 5 pionts
The coordinates of the vertices of ABC are A(-5, 2) B(-2, 4), and C(-4, 7). What are the coordinates of the image of A after the translation (x, y) = (x+6, y-5)?
Translation will reduce x coordinate by 2: (0,4), (5,6) and (3,2)
Rotation 90 CCW will change (x,y) to (-y,x): (-4,0),(-6,5),(-2,3)
Sales Fadil sells televisions. He earns a fixed amount for each television and an additional $25 if
the buyer gets an extended warranty. If Fadil sells 17 televisions with extended warranties, he
earns $1,785. How much is the fixed amount Fadil earns for each television?
Answer:
$80
Step-by-step explanation:
9. Sheldon rides his bike on a
Saturday to complete his
errands throughout the day,
He starts and ends his journey
at his home.
D
E
Each line segment of the graph
is referred to by the letters A
through G.
Distance (miles from home)
А оло
NA
B
F
G
Math Bits
1 2 3 4 5 6 7 8 9 10
Time (hours)
Х
How many times did Sheldon stop during his journey
What is 5/4 minus 1/3?
Answer:
11/12
Step-by-step explanation:
5/4 ---- 15/12
1/3------ 4/12
11/12
Answer:
11/12
Step-by-step explanation:
Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!
Plz help me ASAP no bots plz
Answer:
...
Step-by-step explanation:
the vertex is (-1 , 0)
false
true
the domain is R (all real numbers) ( -♾, +♾ )
the range is negative infinity -♾
The store ordered small and large poster. 12 times as many small posters were ordered as large posters. How many more small posters were ordered than large posters.
Answer:
so how many large and small posters were there before they order 12 times the amount.
Step-by-step explanation:
3. A taxi cab company charges $3.00 for 1 minute and $5.50 for 6 minutes.
a) Calculate the slope. What does it mean according to the question?
b) Calculate the y-intercept. What does it mean according to the question?
c) How much would it cost for a 30-minute cab ride?
d) How far could you travel for $50?
Answer:
a) 1/2
b)2.5
c)17.5
Step-by-step explanation:
The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=[tex]y_2-y_1/x_2-x_1[/tex], the work for question a is as follows:
m= 5.5-3/6-1
m=1/2 or 0.5
Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.
y=mx+b
3=0.5(1)+b
3-0.5=b+0.5-0.5
2.5=b
Finally, plug in all the numbers to find the answer for question c.
y=0.5x+2.5
y=0.5(30)+2.5
y=17.5
Please help name brainliest
To honor veterans, Carl has planned a Walking for Vets Program. He has mapped out a 1000 mile path and plans to walk 12 hours per day. If Carl exercises regularly, which is the best approximation of how long the walk will take?
Answer:
20 days
Step-by-step explanation:
Wells Fargo has realized that they lose home mortgage business to other banks that can process the loan applications with less variability in the time it takes to process each application. The bank recently studied this problem, and found that the processing time T is normally distributed with a mean of 13 days. They didnt measure the standard deviation, but they know that 50% of all applications were processed in between 10.5 and 15.5 days. After learning all this, they then fired half of their mortgage loan officers and replaced them with new recruits. They then sampled 25 applications, and found a sample mean of 13 days (same as the old) and a sample standard deviation of 2.5 days.
(a) Test whether their actions have significantly changed their processing time T.
(b) Based on the sample of 25 applications, give a 90% confidence interval for the parameter that
has changed.
Answer: B
Step-by-step explanation:
Find the quotient using long division
4x^2-11x+5/x-4
Step-by-step explanation:
hope this help and pls rate to make me recommended for answering many mathematics questions! have a great day
What is 0.36 written as a rational number?
Answer:
If you mean what is the square root of 36, then the answer is 6.
6 × 6 = 36.
Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.
Hope this helps!!
Determine if the following shapes
are similar.
Answer:
No
Step-by-step explanation:
25-18 = 7 w
45-36=9 l
They don't match up ^
True or False: When conducting a survey of a group of people, you must interview every person in that population.
What’s the median of 70,77,80,81,82,87,88
Answer:
Hello There!!
Step-by-step explanation:
You order them but in this case they are already ordered and the middle number is 81 so that is the median(also knows as the middle).
hope this helps,have a great day!!
~Pinky~
Answer:
The median is 81.
Step-by-step explanation:
You can find the median in the middle if it all of them add up to odd.(like your’s say 70, 77, 80,... so that You will count them all. In total you have seven numbers and it’s odd).
if it is an even numbers, you mulitply the middle two numbers and divide them by two. That is the median for even numbers.
NED HELP ASAP PLEASE
On a unit circle, the terminal point of 0 is (1/2,square root 3/2). What is 0 if 0°< 0<360°?
A. 45°
B. 15°
C. 30°
D. 60°
No links please
The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.
What is a terminal point?The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
On a unit circle, the terminal point of θ is,
[tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]
The image of the unit circle is attached below. The value of theta at terminal point (1/2,square root 3/2) is 60 degrees.
Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.
Learn more about the terminal point here;
https://brainly.com/question/4256586
#SPJ2
Answer:
Step-by-step explanation:
Its D, 60 degrees
I just took it
Simplify the expression
4p−5(p+6)
Please help, thank you :)
Answer:
-p - 30
Step-by-step explanation:
Hope this helps
Answer:
-p-30
Step-by-step explanation:
4p-5(p+6) Distribute -4 to p and 6
4p-5p-30 simplify by adding the p variables
-p-30
Find the domain of the following function: f(t) = √(t + 9)(t - 5)
Please help ASAP!! Thank you!!
Answer:
{ t | t ≥ − 9 }
Step-by-step explanation:
A C (prima) = 14cm AC= 5cm
Cual es la razón de la homotecia?
please help me solve this
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
Will give brainliest for correct answer
Answer:
4 = function
5 = function
6 = not a function
Step-by-step explanation:
The first two pass the vertical line test
while the last ne doesn't
Which equation shows y = (x − 4)2− 3 written in standard form?
Answer:
2 x − y = 11
Step-by-step explanation:
There are 25 students in Ms. Hunter's class. Seventeen of the students in her class rode the bus home today. The rest walked home. Which model best represents the percentage of students that rode the bus home and the percentage of students that walked home?
A 32% walked home 68% rode the bus
B 68% walked home 32% rode the bus
C 8% walked home 17% rode the bus
D 17% walked home 25% rode the bus
Answer:
68% rode the bus; 32% walked home
Step-by-step explanation:
simplify
[tex] {a}^{3} - {b}^{3} [/tex]
Answer:
[tex] {a}^{3} - {b}^{3} [/tex]
[tex] = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]
Hence, simplified.
If the earth's radius is approximately 4,000 mi, what distance (in miles) is traveled by the satellite in one complete orbit? Use your calculator value of . Round your answer to two decimal places.
( NO LINKSSSSS!!!!!!!!!!!!!!!!!!!!!!!)
Answer:
radius [r]=4000mi
circumference [C]=2πr=2×π×4000mi=25132.74mi
so,it travels 25132.74mi in one complete orbit.
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
V=3052.1 square units.
Step-by-step explanation:
Using the formulas
V=4
3πr^3
d=2r
Solving for V
V=1
1/6πd^3=1
1/6·3.14·18^3=3052.08
round to the nearest tenth place so your volume would be 3052.1 :)
Answer:
3052.1
Step-by-step explanation:
The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).
Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.
18 / 2 = 9
9 is the radius.
Now, we have our final equation:
4/3 x pi x radius x radius x radius
4/3 x 3.14 x 9 x 9 x 9 = 3052.08
(3.14 is commonly used for pi)
3052.08 rounded to the nearest tenth is 3052.1
Therefore, 3052.1 is the volume of the sphere.
PLEASE HELP!!
Rita and her two children live in subsidized housing and pay monthly rent of $230. The cost of heating
is included in the rent. The electric bill averages $56 a month while the water and sewage bill averages
$35 for every 3 months of use. Telephone costs average $19.50 a month. Rita carries no renters
insurance on her personal property. What is Rita's total annual cost of renting?
Answer:
$3806
Step-by-step explanation:
230.0
56.0
+ 19.50
305.50
305.5x12=3666
35x4=140
3666+140=3806