Answer:
gradient = 4
Step-by-step explanation:
Calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)
m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
In a certain room, there are 28 women and 21 men. What is the ratio of
men to women? What is the ratio of women to the total number of
people?
Answer:
The men to women ratio is 3 : 4The ratio between women to total number of people is 4 : 7Step-by-step explanation:
Men to women ratio = 21 : 28 or 3 : 4
The men to women ratio is 3 : 4
Total people = 21 + 28 = 49 people
The ratio of women to total number of people is
28 : 49 or 4 : 7
The ratio between women to total number of people is 4 : 7
Please help me :( I’m struggling
Answer:
im assuming its b because the quality for the pic is bad and i cant really see it
Step-by-step explanation:
Answer:
the answer is c i believe
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1= 4 Sample 2= 1 Sample 3= 9 How do the sample statistics compare to the population mean and standard deviation?
k = 13The smallest zero or root is x = -10
===============================
Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Please mark brainliest
Hope this helps.
Mrs. Ballin owns a candy shop. Last year her expenses were $66,350. She sold
$115,849 worth of candy. What was her profit?
Profit = amount sold - expenses
Profit = 115,849 - 66,350
Profit = $49,499
a = 6 and b = 24 work out the values a) a+b b) ab c) b/a d) d) (a+b)^2
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 6 + 24 = 30
b) 6 * 24 = 144
c) 24 ÷ 6 = 4
d) [tex]30^2=900[/tex]
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 24+6
b) 6(24)
c) 24/6
d) (24+6)^2
Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)
Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.
See attached drawing.
For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]
Find the perimeter and area of a 4 m by 12 m
rectangle.
Answer:
P=32m
A=48 m^2
Step-by-step explanation:
if two shorter sides are 4m each and the two longer sides are 12 m
4+4+12+12 to find the total P
Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .
4x12 = AREA
A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford
Answer: P ≤ $10
Step-by-step explanation:
You have $18
You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10
This means that we the range of prices P that you can afford is:
P ≤ $10
This means that the price of the jeans can be, at maximum, 10 dollars.
4x2 + 25y2
factor the following
Answer:
see explanation
Step-by-step explanation:
This polynomial is irreducible, that is cannot be factored.
4x² + 25y² ← is a prime polynomial
Answer:
1, the polynomial itself
Step-by-step explanation:
This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)
Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *
Answer:
slope = - 7, y- intercept = 2
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 = - 7x + 2 ← is in slope- intercept form
with slope m = - 7 and y- intercept c = 2
What is the value of y when x = 6?
-3x + 9y = 18
Answer:
y = 6
Step-by-step explanation:
-3x + 9y = 18
-3(6) +6y = 18
-18 +6y = 18
Add 18 to each side
-18+18 +6y =18+18
6y = 36
Divide each side by 6
6y/6 = 36/6
y = 6
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
Find the slope of the line that passes through (5, 9) and (2, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
bdudbrksowodndiwnsonsuendumdjdndoamslals
The right answer is 7/3
hope it helps
Good luck on your assignment
Suppose that a particular experiment will have outcome “A” with probability 13 and outcome “B” with probability of 23. If you were to perform this experiment 90 times, approximately how many times would you expect outcome “B” to occur
Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold
Answer:
2720 oranges were sold
1/6book
2/3hour
as a unit rate.
Answer:
4 hours per book
Step-by-step explanation:
The unit rate per book can be found when the number of books read is 1.
To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.
2/3*6=4 hours per book
Hope this helps!
convert 55/100 to a decimal, please
Answer:0.55
Step-by-step explanation:
OK decimal means one number before (.) (point)
for example if question is
1.) 55/10 = ans: 5.5 (here before . (point) 5 is there only one number
2.)55/1000= ans: 0.055(here before .(point) 0 is there only one number
3.)like ur question 55/100= 0.55 ☻
Answer: 0.55
Step-by-step explanation:
Because 55/100 is 55% and 55% in decimal form is .55. Always move the decimal to the right when the percentage is under 100%.
What is the probability of rolling a die and it landing on a number less than 3?
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
log base 4 (x^2) - log base 4 (x)
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
part 4. Find the measure of the indicated angle to the nearest degree
Answer:
hope this helps you
4. The interior angles of a triangle are 60°, 45° and 75°. The shortest side is 10 cm less than the
longest side. Determine the perimeter of the triangle to the nearest cm.
Answer:
Step-by-step explanation:
The length of each side corresponds to the sizes of each angle respectively.
To determine the length of each side, we would apply sine rule which is expressed as
a/sinA = b/SinB = c/SinC
The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10
Therefore,
c/Sin75 = (c - 10)/Sin45
c/0.966 = (c - 10)/0.707
Cross multiplying, it becomes
c × 0.707 = 0.966(c - 10)
0.707c = 0.966c - 9.66
0.966c - 0.707c = 9.66
0.259c = 9.66
c = 9.66/0.259
c = 37.3 cm
The shortest side is
37.3 - 10 = 27.3 cm
Applying the sine rule again,
b/Sin60 = 37.3/Sin75
b/0.866 = 37.3/0.966
Cross multiplying, it becomes
0.966b = 0.866 × 37.3
b = 32.3018/0.966
b = 33.4 cm
The perimeter is
27.3 + 33.4 + 37.3 = 98 cm
A radio host plans to play one song from each of the three CDs he has by a single artist. The first
song will come from a CD that has 12 songs. The second song will be selected from a CD that
includes 14 songs while the third CD has 13 songs.
Using the Fundamental Counting Principal find the number of possible ways to play the
music.
13 poi
Answer:
2184 ways
Step-by-step explanation:
We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.
The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.
The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.
The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.
Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:
Number of possible ways = 12 * 14 * 13 = 2184 ways
Ky buys three tshirts originally priced at 49.96the stores discount applys 7.1 tax
Answer:
42
Step-by-step explanation:
49-7=42
Find the distance between the pair of points given on the graph
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?
Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
Is it possible to form a triangle with
side lengths 5, 3, and 5 units?
Answer:
Yes
Step-by-step explanation:
Isosceles triangle with base of 3 units and sides of 5 units
Answer:
yes
Step-by-step explanation:
use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle
4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR
Answer:
[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
What is the midpoint of the segment shown below?
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Answer:
The answer is D
Step-by-step explanation:
Which of the following equations is equivalent to S = pi r squared h?
Q: Which of the following equations is equivalent to S = pi r squared h?
A: B (CC ALGEBRA 2A, ED20)
The equations is equivalent to S = pi r squared h would be; B. h=S/πr²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.
S = πr²h
To get h, we needd to divide both sides by the coefficient of h (i.e πr²)
S/πr² = πr²h/πr²
S/πr² = h
h = S/πr²
This equation shows that h = S/πr² is equivalent to S = πr²h
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2