Answer:
Combine multiplied terms into a single fraction
13(−6+4)=−112(4+4)
13(−6q+4)=−112(4q+4)\frac{1}{3}(-6q+4)=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
1(−6+4)3=−112(4+4)
1(−6q+4)3=−112(4q+4)\frac{1(-6q+4)}{3}=\frac{-1}{12}(4q+4)31(−6q+4)=12−1(4q+4)
2
Multiply by 1
3
Combine multiplied terms into a single fraction
4
Distribute
5
Multiply all terms by the same value to eliminate fraction denominators
6
Cancel multiplied terms that are in the denominator
7
Distribute
8
Subtract
16
161616
from both sides of the equation
9
Simplify
10
Add
4
4q4q4q
to both sides of the equation
11
Simplify
12
Divide both sides of the equation by the same term
13
Simplify
Show less
Solution
=1
Step-by-step explanation:
Answer:
q=1
Step 1: Simplify both sides of the equation.
Step 2: Add 1/3q to both sides.
Step 3: Subtract 4/3 from both sides.
Step 4: Multiply both sides by 3/(-5).
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:
The radius of the cylindrical construction pipe is 2.5ft, if the pipe is 25ft long, what is the volume? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer
Answer:
Step-by-step explanation:
r = 2.5 ft
h = 25 ft
Volume of cylindrical pipe = πr²h
= 3.14 * 2.5* 2.5 * 25
= 490.625 {as tenth place value is ≥ 5, add 1 to the whole number}
= 491 cubic feet
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 measure of <4.
44
158°
s
* 4 = [?]
Enter
Answer:
22°Step-by-step explanation:
∠4 and 158° are supplementary as same side interior angles
m∠4 + 158° = 180°m∠4 = 180° - 158° = 22°Answer:
[tex]<4+<158=180[/tex][co- interior angle]
<4=180-158=22°
<4=22°
Describe the cross section
What is the volume of a hemisphere with a diameter of 6.7 ft, rounded to the nearest tenth of a cubic foot?
Answer:
78.7 cubic feet
Step-by-step explanation:
What is the volume of a hemisphere with a diameter of 6.7 ft, rounded to the nearest tenth of a cubic foot? 78.7 cubic feet.
Im not really sure
I dont know
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;
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Answer:
Step-by-step explanation:
Its D, 60 degrees
I just took it
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.
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
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
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
Which equation shows y = (x − 4)2− 3 written in standard form?
Answer:
2 x − y = 11
Step-by-step explanation:
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
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 ^
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 -♾
ANYBODY EXITED FOR RAMADAN DONT ANSWER IF U DONT KNW WHT RAMADAN IS XD
Answer:
soooo hype bro,i dont know what to eat for suhur tho
Step-by-step explanation:
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
An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. The remaining 15 athletes did not participate in any type of flexibility program during the four weeks.
Which statements about this study are true?
This study uses random sampling.
This study uses a control group.
This study uses a repeated measures design.
This study uses blocking.
This study uses blinding.
The TRUE statements about the study described above are :
• USE OF RANDOM SAMPLING
• USE OF A CONTROL GROUP
When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.
Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.
The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.
Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.
Learn more : https://brainly.com/question/14735769
Answer:
This study uses random sampling.
Step-by-step explanation:
i got it wrong
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.
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]
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:
A C (prima) = 14cm AC= 5cm
Cual es la razón de la homotecia?
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:
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
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:
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.
Ola will run from her house to a local park and back to her house.
She sees this sketch of the route she will take.
park
1 miles
2 miles
house
What is the total distance of the route Ola will run?
Give your answer as a mixed number.
You must show your working.
Answer:
MAY BE
OLA WILL RUN 2 MILES THIS IS CORRECT OR RIGHT I THINK
A fraction is a way to describe a part of a whole. The total distance of the route Ola will run is 3(5/8) miles.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is Mixed Fraction or mixed number?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
Given the distance from the house to the park is 1(1/4) miles, while the distance from the park to the house is 2(3/8) miles, therefore, the total distance which the ola will travel can be written as,
[tex]\rm Distance = 1\dfrac14 + 2\dfrac38\\\\Distance = \dfrac{(4 \times1)+1}4 + \dfrac{(8 \times 2)+3}{8}\\\\Distance = \dfrac54 + \dfrac{19}{8}\\\\Distance = \dfrac{5\times 2}{4 \times 2} + \dfrac{19}{8}\\\\Distance = \dfrac{10}{8} + \dfrac{19}{8}[/tex]
[tex]\rm Distance = \dfrac{10+19}{8}\\\\Distance = \dfrac{29}{8} = 3\dfrac{5}{8}\ miles[/tex]
Hence, the total distance of the route Ola will run is 3(5/8) miles.
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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
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!
Which is equivalent to 99.5(50)?
Answer:
49.75 i think
Step-by-step explanation: