Answer:
A line parallel has the same slope, so -3
The slope of the line that is parallel to line f is -3.
The given line f has a slope of -3.
We need to find the slope of the line that is parallel to line f.
What are parallel lines slope?The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].
So, the slope of the parallel line=-3
Therefore, the slope of the line that is parallel to line f is -3.
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Which of the following statements best describes the difference between net income and gross profit? a. Gross profit considers operating expenses while net income does not. b. Net income considers operating expenses while gross profit does not. c. Gross profit deducts taxes while net income does not. d. Net income deducts taxes while gross profit does not. Please select the best answer from the choices provided A B C D
Answer:
its b
Step-by-step explanation:
edg 20/21
Find the distance between points F and H.
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answer:
There is a 10 percent increase
what is the answer to this?
Answer:
This is the answer:
330550=
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
Required:
Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
Answer:
a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].
b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].
c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].
Step-by-step explanation:
The statement is incomplete. Complete form is introduced below:
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.
a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.
b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.
c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:
[tex]\theta = \omega \cdot t[/tex] (1)
Where:
[tex]\omega[/tex] - Angular velocity, in radians per minute.
[tex]t[/tex] - Time, in second.
If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].
b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:
[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)
Where:
[tex]r[/tex] - Radius of the Ferris wheel, in feet.
[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.
If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].
c) We use the following geometric expression to model Ryan's height above the ground:
[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)
Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.
If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
33% of the people preferred onions
can i get brainliest now lol
Solve equation by using the quadratic formula.
6x² – 2x=8
Answer:
D
Step-by-step explanation:
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
Evaluate 9.3p + 8.7r when p=6 and r=7 .
Answer:
116.7
Step-by-step explanation:
Given: p = 6, r = 7
Plug in 6 for p, and 7 for r in the given expression:
9.3p + 8.7
9.3(6) + 8.7(7)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
First, multiply:
9.3 * 6 = 55.8
8.7 * 7 = 60.9
Next, add:
55.8 + 60.9 = 116.7
116.7 is your answer.
~
Answer:
9.3p + 8.7r when p=6 and r=7 .
substituting value
9.3*6+8.7*7
55.8+60.9
116.70is a required answer.
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?
Answer:
Step-by-step explanation:
[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]
Step-by-step explanation:
the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work
PLZ HELP PLZ PLZ this is my last final plz
A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58
Answer:
b
Step-by-step explanation:
Rewrite the expression using exponents.
7 • 4 • 4 • 4
(Type whole numbers.)
Answer: 7×4³
Step-by-step explanation:
Answer:
7 x 4³
Step-by-step explanation:
using exponents to my understanding,
the answer vis supposed to be;
7 x 4³
During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Answer:
500
Step-by-step explanation:
During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
The function graphed to the left is function. The curve has and continues infinitely in one direction. Each y-value is each corresponding x-value.
Answer:
1. A square root
2. one distinct endpoint
3. The square root of
on edg
have a nice day! :)
Step-by-step explanation:
1. The function graphed to the left is function. A square root
2. The curve has and continues infinitely in one direction.
one distinct endpoint
3. Each y-value is each corresponding x-value. the square root of
what is square root function?The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.
1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.
The graph shown is known as the graph for square root functions.
2. The curve has one distinct end point and continues infinitely in one direction.
3. The square root of each corresponding x-value.
Each value of y is the corresponding square root of x- values.
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Write the equation in either slope-intercept or point-slope form for the
line that goes through (1,1) and (3,-5). *
Answer:
y = mx + b
m = (-5-1)/(3-1)
m = -3
1=(-3)1 + b
b= 4
y= -3x + 4
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
Answer:
the number of days when instructor do the work alone is 8 days
Step-by-step explanation:
Given that
The apprentice can do the work in 24 days
And, the apprentice and instructor together can do it in 6 days
We need to find out the number of days when instructor do the work alone
So,
[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]
hence, the number of days when instructor do the work alone is 8 days
What is 787,452 rounded to the nearest ten thousand?
Answer:
790000
Step-by-step explanation:
Answer:
790,000
Step-by-step explanation:
PLEASE ANSWER CORRECTLY WILL GIVE BRAINLIEST
Answer:
r = [tex]\sqrt{x} A/4\pi[/tex] , or the third option :)
Step-by-step explanation:
Answer:c
Step-by-step explanation:
find any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5
Answer:
[tex]x \ge -2[/tex]
Step-by-step explanation:
The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.
[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].
But in the function f(g(x)), the input to f is g(x) = x + 5, so x + 5 must be greater than or equal to 3.
[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]
Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function. See if it helps to call the domain of g by the name x, and the domain of f by some other name.
[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]
The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]
HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)
Answer:
20 square meters
Step-by-step explanation:
area = length x width
area of grass = 4 x 4 = 16
area of grass and cement = 6 x 6 = 36
Now you subtract to find the area of the cement.
36 - 16 = 20
In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
Answer:
the 20-29 year old man are relatively taller.
Step-by-step explanation:
for the old man we have next z- score=75-69.6/3.1=1.74
for the old women we have next z-score=70-64.1/3.9=1.51
Pls help me pls pls I beg you
Answer:
3/32 in³
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the length, width, and height.
[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]
Therefore, the volume is 3/32 in³.
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
Solve for r.
K=4r-7s
r=
Answer:
[tex]r=\frac{k+7s}{4}[/tex]
Step-by-step explanation: