Answer:
Step-by-step explanation:
slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A
The slope is negative as the ramp slopes down from left to right
The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a diagram of a ramp.
It can be picturized as a right angled triangle.
We know that,
Slope = Change in y coordinates / change in x coordinates.
Horizontal distance = change in x coordinates = 10
Vertical distance = change in y coordinates = 3
Substituting,
Slope = 3/10
Hence the slope of the ramp is 3/10.
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if f(x) is 5x-4 and g(x) is 4x+1 then what is (f-g)(x)
Answer:
Step-by-step explanation:
5x - 4 - (4x + 1)
5x - 4 - 4x - 1
x - 5
answer this plz quickly
Answer: THE ANSWER IS -1/36
Step by step: Find the LCD then combine
The answer is : -1/36
You forgot the 1 for 18 in the last question lol
Hope this helps, pls mark as brainliest :))))
A band is planning a concert at a local theater. The graph below shows the ticket sales per hour.
What is the slope of the line shown in the graph ?
Answer:
A. -400Step-by-step explanation:
Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;
slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0
slope = [tex]\frac{0-4000}{10-0}[/tex]
[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]
The slope of the line is a negative slope and it is -400
Answer: A. -400
Step-by-step explanation:
just had this and got in correct
Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!
Ahhhh Im losing so many points
Answer:
reflect over line b
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
reflecting over b will put it in the same place bc b goes down the middle of the rectangle
if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal
Answer:
I would check:
reflect over line b and check
counterclockwise rotation about P by 180 degrees
Step-by-step explanation:
First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.
If you rotate 180, then you will get the exact same shape just upsides down.
Thanks and please give brainliest have a nice day :)
TRIG PROBLEM: Help me solve this, please. I will give Brainliest!
Please show all work. I have no idea where to start :(
Let's start with part a, finding the maximum and minimum.
Answer a: Max temp is -5 C on day 200. Min temp is -79 C on day 500.
Sine model.
We're looking for a model
T(n) = A sin( ωn - p ) + o
where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.
Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero. o = -42 C.
That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.
Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.
From max to min is a half period, or about a half period since we're only seeing every 100 days. That's 300 days, so a full cycle about every 600 days.
We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days, So when n=600 this term must be 2π, so it's of the form
ωn = 2 π n / 600.
Putting it all together we get our model:
Answer b: T(n) = 37 sin(2 π n / 600) - 42
We already estimated the period at 600 days. That's a full year.
Answer c: 600 days
We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.
5. What is the value of s if 8.25s - 2.375 = 10?
1.5
8,25
8
1.7
8,25
06
8,25
093
Answer:
1
Step-by-step explanation:
8-1,2,4.....
25-1,5...
I NEED ANSWERS FAST I WILL GIVE BRAINLIEST, FOR THE TUV one Using the following image, solve for
x
And for the other one find UW
Answer:
tuv x is 6
uvw x is 0
Step-by-step explanation:
help me please! will mark brainliest
Answer:
Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.
Step-by-step explanation:
Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
Answer:
Answer: upstream: 5.2= (x-y) 5
Downstream: 5.2= (x+y) 2.5
Step-by-step explanation:
The equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )
We can write the equations for upstream and downstream motion for time [t] seconds as -
Upstream - (Opposing motion)
5.2 = (x - y) t
Downstream - (Supporting motion)
5.2= (x + y) (t/2)
Therefore, the equations for upstream and downstream motion for time [t] seconds are -
5.2 = (x - y) t
AND
5.2 = (x - y) t
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HELP PLS I WILL MARK BRAINLIEST!!!!!!!!!!!!
a
because it has the highest values from all the options from all the above
Does anyone get this?
Answer: B
Step-by-step explanation:
In the systems of equation it already gives you the solution for x which is -2 so all you have to do is substitute -2 into the first equation and solve for y.
y= 2/3x + 3
x= -2
Substitute x for -2
y = [tex]\frac{2}{3}* \frac{-2}1} + 3[/tex]
y= [tex]\frac{-4}{3}[/tex] + [tex]\frac{3}{1}[/tex]
y = [tex]\frac{5}{3}[/tex]
so now you have the solution like this [tex](-2,\frac{5}{3})[/tex]
Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is a total of 40 questions on the assessment, how many questions are worth 2 points?
Answer:
28
Step-by-step explanation:
x = 2 point questions, y = 3 point questions
x + y = 40
2x + 3y = 92
Solving this we get x = 28, y = 12 so the answer is 28.
Answer: 28
Step-by-step explanation:
Let x be the number of 2 mark questions
Let y be the number of 3 mark questions
x+y=40. ---------------(1)
2x+3y=92 ---------------(2)
Solve equation (1) for y
y=40−x
Substitute
y=40−x in equation (2)
2x+3(40−x)=92
2x+120−3x=92
2x−3x=92−120
−x=−28
x=28
Substitute
x=28 in equation (1)
28+y=40
y=40−28=12
Number of 2 mark questions
=28
Number of 3 mark questions
=12
Help im still lazy lol
Answer:
t= -105
Step-by-step explanation:
To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-1/15t=7
t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.
-1/15t/-1/15=7/ -1/15
t=7/ -1/15
Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-1/15--flip--> -15/1=-15
Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.
t= 7* -15
t=-105
Let's check out solution. Plug -105 back in for t in the original equation.
-1/15t=7
-1/15*-105=7
7=7
Both sides are the same, so we know that t=-105.
Answer:
t=-105
Step-by-step explanation:
[tex]-\frac{1}{15} t =7[/tex]
What we need to do here is to isolate t.
Let's multiply both sides by -15.
[tex]-\frac{1}{15}t * -15 = 1t[/tex]
7*-15= -105
t=-105
The exact value of Tan 30 x sin 60
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}[/tex]
[tex]\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}[/tex]
[tex]=\frac{3}{6}[/tex]
[tex]=\frac{1}{2}[/tex]
Answer:
[tex]1/2[/tex]
Step-by-step explanation:
Tan 30 = [tex]\frac{\sqrt{3} }{3}[/tex]
Sin 60 = [tex]\frac{\sqrt{3} }{2}[/tex]
Multiply the 2 roots you get my answer 1/2
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?
Step-by-step explanation:
Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest
Escreva de duas formas diferentes os números a seguir. Urgente
A) 40.000.000.00
B) 0,02
C) 105.000.000
D) 0,000000007
E) 456.983
F) 0,000000673
Answer:
To solve this problem, we need to write each number in two different ways, we could use percetanges or fractions.
(A) 40,000,000.00.This number can be written in scientific notation like [tex]4 \times 10^{7}[/tex], where the exponent depends on the amount of zeros the quantity has.
A second way to write this number would be as a product [tex]2 \times 20,000,000.00[/tex].
(B) 0.02.Similarly, this number can be written in scientific notation [tex]2 \times 10^{-2}[/tex], also, we can write it as a fraction [tex]\frac{2}{100}[/tex].
(c) 105,000,000.This number in scientific notation would be [tex]1.05 \times 10^{8}[/tex]. As a product would be
[tex]1050 \times 100000[/tex].
(d) 0.000000007.In scientific notation would be [tex]7 \times 10^{-9}[/tex]. As a fraction would be [tex]\frac{7}{1000000000}[/tex].
(e) 456,983.In scientific notation would be [tex]4.56983 \times 10^{5}[/tex]. Also, we can write it as a sum
[tex]450,000 + 6,983[/tex]
(f) 0.000000673.In scientific notation would be [tex]6.73 \times 10^{-7}[/tex]. As a fraction would be [tex]\frac{673}{1000000000}[/tex]
find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2.
Answer:
B' = (5, -4)
Step-by-step explanation:
The picture is illegible, but we think B is (1, 4).
After rotation 180°, both coordinates are negated, so the point is ...
B" = -(1, 4) = (-1, -4)
After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:
B' = (4 -(-1), -4)
B' = (5, -4)
HELP PLEASE I DON'T UNDERSTAND THIS AT ALL
Answer:
PV/nR = T
Step-by-step explanation:
PV = nRT
Divide each side by nR
PV/nR = nRT/ nR
PV/nR = T
Answer:
So we know that P*V = n*R*T im guessing
So that means that we divide it by how much we are multiplying by T aka n*R
so PV/nR = T
I am guessing that this is no physics fomula or math formula with things I dont know but if these are just random vars this is the answer.
Step-by-step explanation:
To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?
3 (1/3x + 1) + 4 = -1 - 4 (x + 3)
A.) –3 or 3
B.) –3 or 5
C.) –20 or 5
D.) –20 or 20
Answer:
the answer is D
Step-by-step explanation:
*I WILL MARK YOU BRAINLIEST!!!!!!*
Answer:
A. is the correct answer
Step-by-step explanation:
the answer is 27
Answer:
A. 25
Step-by-step explanation:
f(x)= 8x - 7
f(4)= 8*4 - 7= 25
f(4)= 25
I Need help please!!
Answer:
D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language
Answer: DAnswer:
d
Step-by-step explanation:
Ghani is going to use these instructions to make a fizzy drink instruction: mix 5 parts of lime juice with 3 parts of lemonade ghani thinks thats he has 300ml of lime juice and 200ml of lemonade if he is correct what is the greatest amount of fizzy drink can he make?
Answer: 480 ml
The greatest amount of fizzy drink can he make is 480 ml
Step-by-step explanation:
Given;
Mixing ratio = 5 : 3
Volume of lime juice = 300ml
Volume of lemonade = 200ml
From the given ratio;
5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.
Assuming all the lemon juice were used;
For 300ml of lemon juice,
It'll require 300/5 × 3 ml of lemonade.
Volume of lemonade needed V2= 300/5 × 3 = 180 ml
Volume of fizzy drink = volume of lemon juice + volume of lemonade
Volume of fizzy drink = 300ml + 180ml = 480ml
The greatest amount of fizzy drink can he make is 480 ml
the mean of the data set {9, 5, y, 2, x } is twice the data set {8, x, 4, 1, 3}. What is (y-x)^2?
Answer:
256
Step-by-step explanation:
To calculate the mean, we simply divide the sum of the values by the count.
For the first set, the mean is as follows;
(9 + 5 + 2 + y + x)/5 = (x + y + 16)/5
For the second set;
(8 + x + 4 + 1 + 3)/5 = (16 + x)/5
Since both are divided by 5, we can eliminate it
Mean of first set is twice the second
This means that;
x + y + 16 = 2(16 + x)
x + y + 16 = 32 + 2x
y = 32-16+2x-x
y = 16 + x
Now we want to calculate
(y-x)^2
substitute the value of y here
(16+x-x)^2
= 16^2 = 256
What ratios are equivalent to 10:16? What Apply
Answer:
The answer is option 1 and 3.
Step-by-step explanation:
Firstly, you have to find the simplest form of the ratio by dividing the common numbers :
[tex]10:16 = \frac{10}{16} = \frac{5 \times 2}{8} = \frac{5}{8} [/tex]
Given that the simplest ratio is 5:8. Next, you have to simplify all the options given and which is equivalent to 5:8 :
Option 1,
[tex]30 \: to \: 48 = 30:48 = \frac{30}{48} = \frac{5 \times 6}{8 \times 6} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 2,
[tex]25:35 = \frac{25}{35} = \frac{5 \times 5}{7 \times 5} = \frac{5}{7} = 5:7 \: (incorrect)[/tex]
Option 3,
[tex] \frac{40}{64} = \frac{5 \times 8}{8 \times 8} = \frac{5}{8} = 5:8 \: (correct)[/tex]
Option 4,
[tex]8:32 = \frac{8}{32} = \frac{1 \times 8}{4 \times 8} = \frac{1}{4} = 1:4\: (incorrect)[/tex]
Option 5,
[tex]5 \: to \: 15 = \frac{5}{15} = \frac{1 \times 5}{3 \times 5} = \frac{1}{3} = 1:3 \: (incorrect)[/tex]
Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for of the variation in prevalence."
Answer:
The overview of the given situation is described in the explanation segment below.
Step-by-step explanation:
By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'As we know that the determination's coefficient will be:
⇒ [tex]R^2[/tex]
(Percent of variance in the answer variable described by the explanatory variable).
Now the correlation among the two variables will be:
As we know,
⇒ [tex]r^2=R^2[/tex]
⇒ [tex]r^2=0.79[/tex]
⇒ [tex]r=\sqrt{0.79}[/tex]
⇒ [tex]r=0.889[/tex]
The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².
The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable. The Coefficient of determination, R² ranges between 0 and 1 with 1 meaning 100%.Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.
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work out the circumference of the circle when the radius is 6mm and give the answer in terms of pie.
_______________________________
Hey!!
Solution,
Radius(r)= 6 mm
Circumference of circle=?
Now,
Circumference of circle=2 pie r
=2*pi*6
=12 pie
So the answer is 12 pie.
Hope it helps...
Good luck on your assignment
______________________________
The circumference of the circle is 12[tex]\pi[/tex] mm.
What is circumference of circle ?
The boundary of a circle, i.e. the length of the full arc of a circle is called circumference of circle.
What is the formula of circumference of circle ?Let, radius of the circle be r
Then, Circumference of circle = [tex]2\pi r[/tex] unit
What is the value of required circumference ?Given, The radius is 6 mm
∴ Circumference of the circle = [tex]2\pi r[/tex]
= ([tex]2\pi[/tex]× 6) mm
= 12[tex]\pi[/tex] mm
Hence, Circumference of the circle = 12[tex]\pi[/tex] mm
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Aunt Patricia has a large farm, which contains a right triangular area where her house and gardens are
located. She also has three square pastures where she keeps her milk cows. Aunt Patricia has written a
will. In the will, she leaves the triangular area with house and garden to a local charity. But she leaves
the three square pastures to her two nieces, Mia and Erika.
The side length of the smallest square pasture is 24 meters, and the area of the middle-size square
pasture is 1,024 square meters.
1. What is the area of the smallest square pasture? _________________________ square meters
Show how you figured it out.
2. What is the side length of the middle-size square pasture? ______________________ meters
Show how you figured it out.
In Aunt Patricia’s will, she gave the large pasture to Mia and the two smallest pastures to Erika.
3. What is the side length of Mia’s square pasture (large pasture)? ____________ meters
What is the total area of Mia’s pasture? ______________________________ square meters
Show how you figured it out.
4. The nieces don’t think the will is fair. Explain to them why, in this case, it is fair. Justify your
explanation with mathematics.
__________________________________________________________________
Answer:
see below
Step-by-step explanation:
The smallest size has area b^2
A = s^2
A= b^2 = 24^2 =576 m^2
The middle size has area a^2
1024 = a^2
Take the square root of each side
sqrt(1024) =sqrt(a^2)
32 = a
The side length is 32 m
To find the side length of the largest pasture use the pythagorean theorem
a^2 + b^2 = c^2
32^2 + 24^2= c^2
1024+576 = c^2
1600 = c^2
Taking the square root of each side
sqrt(1600) = sqrt(c^2)
40 = c
The side length is 40 m
The area is 1600 m^2
It is fair since the areas are the same.1600 m^2 = 1600 m^2
In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
btw i need two answers for bc not just one
Answer:
AB = 30 inch
BC = 14 inch or BC = 50 inch
Step-by-step explanation:
Make a drawing. Please see the attachment. All measurements are in inches.
Consider the two triangles:
∆ ABC and ∆ AB'C
1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.
AN is the height and there fore is perpendicular to NC and thus also to BC.
In ∆ ANC
AN² + NC² = AC²
We want to calculate NC, so:
NC² = AC² - AN²
Given: AC = 40 and AN = 24
NC² = 40² + 24²
NC² = 1600 + 576
NC² = 1024
NC = +-SQRT(1024)
NC = 32
NC = NB + BC
We want to know BC
BC = NC - NB
Given: NB = BN = 18 and we just calculated NC to be 32 so...
BC = 32 - 18
BC = 14
2. Looking only at ∆ AB'C
AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.
AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.
In ∆ AB'N
c² = a² + b²
AB'² = AN² + B'N²
Given: AN = 24 and B'N = 18
AB'² = 24² + 18²
AB'² = 576 + 324
AB'² = 900
AB' = +-SQRT(900)
AB' = 30
In ∆ AB'C
with AB' = 30 and AC = 40
c² = a² + b²
B'C² = AB'² + AC²
B'C² = 30² + 40²
B'C² = 900 + 1600
B'C² = 2500
B'C = +-SQRT(2500)
B'C = 50
Now we have our answers.
Extra:
Please look at the picture again, but now concentrate on the indicated 50 and - 50...
I am trying to explain something about the meaning of the outcome of mathematical calculations like:
c² = 2500
c = +- SQRT(2500)
c = 50 or c = - 50
Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...
1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?
2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).
It is important to understand that a negative sign means the 180° in the direction of the other way.
In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -
minus value of your calculated outcome.
Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.
I hope this has made some sense to you :-).
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in
414.48 square feet is needed to make 3 dozen of the covers.
Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.To find the circumference, you multiply the 4 by π, and π is 3.14, and you get 12.56.
Step 2: Find the area of the side, not including the circle.The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.
Step 3: Add them up.
125.6 + 12.56 is 138.16
Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).138.16 multiplied by 36 is 4973.76 square inches.
Step 5: Convert 4973.76 square inches to square feet.12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.