Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
simplify: m–(a–k–b) HElp!
Answer: m-a+k+b
Step-by-step explanation:
m-(a-k-b)= m+-1*(a-k-b). Then, simply use distributive property to simplify the equation into m-a+k+b
Hope it helps <3
How many Real solutions
Answer:
A. 2 real roots: (2, 7) and (1, 4).
Step-by-step explanation:
y = x^2 + 3
y = 3x + 1
So equating the right sides:
x^2 + 3 = 3x + 1
x^2 - 3x + 2 = 0
(x - 2)(x - 1) = 0
So there are 2 roots.
They are x = 2 , y = 3(2) + 1 = 7 and
x = 1, y = 3(1) +1 = 4.
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?
and the answer should be 18 x 27. The answers were reversed.
Step-by-step explanation:
basically you can do (6x4) + 3 = 27
and (4x4) + 2 = 18.
A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,
1/4" = 1'
1" = 4'
Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,
634" = 634 × 4' = 2536'
412" = 412× 4' = 1648'
Hence, the real size of the bedroom is 2536' by 1648'.
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Please answer this in two minutes
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
[tex] \frac{XY}{sin(67)} = \frac{24}{sin(43)} [/tex]
Cross multiply:
[tex] XY*sin(43) = 24*sin(67) [/tex]
[tex] XY*0.68 = 24*0.92 [/tex]
Divide both sides by 0.68 to solve for XY
[tex] \frac{XY*0.68}{0.68} = \frac{24*0.92}{0.68} [/tex]
[tex] XY = 32.47 [/tex]
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
The roots of \[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of \[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$[tex]The roots of\[x^2 + 5x + 3 = 0\]are $p$ and $q,$ and the roots of\[x^2 + bx + c = 0\]are $p^2$ and $q^2.$ Find $b + c.$[/tex]
By the factor theorem, we have
[tex]x^2+5x+3=(x-p)(x-q)\implies\begin{cases}3=pq\\-5=p+q\end{cases}[/tex]
[tex]x^2+bx+c=(x-p^2)(x-q^2)\implies\begin{cases}c=p^2q^2\\-b=p^2+q^2\end{cases}[/tex]
Then
[tex]c=p^2q^2=(pq)^2=3^2=9[/tex]
and
[tex]p+q=-5\implies(p+q)^2=p^2+2pq+q^2=25\implies b=-(p^2+q^2)=-19[/tex]
So we have b + c = -19 + 9 = -10.
The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
What are the sum and product of the roots of a quadratic equation?If the quadratic equation ax² + bx + c = 0, has roots as α and β, then:
Sum of the roots, α + β = -b/aProduct of the roots, αβ = c/aHow to solve the given question?In the question, we are informed that the roots of the expression x² + 5x + 3 = 0 are p and q, and the roots of the expression x² + bx + c = 0 are p² and q².
We are asked to find the value of b + c.
Since the roots of the equation x² + 5x + 3 = 0 are given as p and q.
So, we can say that:
Sum of the roots, p + q = -5Product of the roots, pq = 3Now, we are informed that the roots of the equation x² + bx + c = 0 are p² and q². So, we can say that:
Sum of the roots, p² + q² = -b, or, (p + q)² - 2pq = -b, or, (-5)² - 2(3) = -b, or, 25 - 6 = -b, or, 19 = -b, or, b = -19.Product of the roots, p²q² = c, or, (pq)² = c, or, 3² = c, or, c = 9.∴ b + c = -19 + 9 = -10.
∴ The given roots of the equation x² + 5x + 3 = 0 as p and q, and x² + bx + c = 0 as p² and q², gives us the value of b + c = -10.
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A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
Please help Asap, will give brainiest only if answer correctly with a good explanation
Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of the rectangle? The length is? And the width is?
Hey there! I'm happy to help!
We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.
2(3)+2(5)
6+10
16
How can we get this 16 to 64?
64/16=4
So, we need to multiply this length and width by four to get 64 as our perimeter!
3*4=12
5*4=20
We can plug this into our perimeter equation
2(12)+2(20)
24+40
64
Therefore, our length is 12 and our width is 20.
Have a wonderful day! :D
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 1/2 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 1/2 mile in order to arrive just as school begins today?
Answer:
George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today
Step-by-step explanation:
Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.
Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.
Mathematically;
time = distance/speed
He walks 1 mile at 3 miles per hour.
Thus, the total amount of time he spend each normal day would be;
time = 1/3 hour or 20 minutes
Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.
Let the unknown speed be x miles/hour
Mathematically;
We shall be using the formula for time by dividing the distance by the speed
1/3 = 1/2/(2) + 1/2/x
1/3 = 1/4 + 1/2x
1/2x = 1/3 - 1/4
1/2x = (4-3)/12
1/2x = 1/12
2x = 12
x = 12/2
x = 6 miles per hour
how to solve for x?Knowledge and Understanding
Answer:
x = 25°Step-by-step explanation:
The figure above is a quadrilateral
Angles in a quadrilateral add up to 360°
To find x add up all the angles and equate them to 360°
That's
6x + 4x + 3x + x + 10 = 360
14x = 350
Divide both sides by 14
x = 25°
Hope this helps you
Answer:
????
Step-by-step explanation:
Where is the question????
WILL MARK BRAINLIEST!! PLZ HELP!!
Answer:
The answer is D.
Step-by-step explanation:
When x=0, then y=300, so it has to be more than that.
When x=25, y=300, so it has to be less than that.
What is the circumference of a circle with a diameter of 100m. A 100m B 157m C 300 m D 314m
Answer:
C = 314 m
Step-by-step explanation:
The circumference of a circle is given by
C = pi * d
Using 3.14 for pi
C = 3.14 * 100
C = 314 m
Answer:
The answer is option D.
314mStep-by-step explanation:
Circumference of a circle = πd
Where d is the diameter
From the question
d = 100m
Circumference of the circle is
100π
= 314.2
Which is 314m to the nearest whole number
Hope this helps you
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
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If some of the omitted variables, which you hope to capture in the changes analysis, in fact change over time within entity, then the FE estimator a. will be unbiased only when allowing for heteroskedastic-robust standard errors. b. may still be biased. c. will only be unbiased in large samples. d. will always be unbiased.
Answer:
d. will always be unbiased.
Step-by-step explanation:
When some of variables are omitted the estimator on indulge charge regressor may still be unbiased. If there is a special case where T = 2 then the FE estimator will be unbiased. Fixed effect regression model has different intercepts.
Represent the system of linear equations 3x+y-5=0 and 2x-y-5=0 graphically. From the graph write solution of the system and also the area of the triangle formed by the lines and y axis
Answer:
The solution is (2, -1)The area of the triangle formed is 10 square units.Step-by-step explanation:
The given system is
[tex]3x+y-5=0\\2x-y-5=0[/tex]
First, you need to graph both lines. To do so, you just need to find the interceptions with both axis.
[tex]3x+y-5=0[/tex]
For [tex]x=0 \implies y=5[/tex]
For [tex]y=0 \implies x=\frac{5}{3}[/tex]
Then, you draw both points to have the straight line.
Repeat the process for the second line. The image attached shows both lines.
Remember, the solution of a linear system of equation is the common point between lines. In this case, we can observe that the solution is (2, -1).
On the other hand, to find the area of the triangle formed, we need to use the length of its base and its height.
Its base is 10 units long.Its height is 2 units long.Now, we use the area formula for triangles
[tex]A=\frac{bh}{2}=\frac{10(2)}{2}= 10 \ u^{2}[/tex]
Therefore, the area of the triangle formed is 10 square units.
what is the value of X when f(x)=g(x) ?
Answer:
x=3
Step-by-step explanation:
We want to find the value of x where the two graphs intersect
The graphs intersect at ( 3,8)
The value of x is 3
Brad walked a total of 24 kilometers by making 6 trips to school. After 21 trips to school, how many kilometers will Brad have walked in total? Solve using unit rates.
Answer:
84 km... Mark me as BRAINLIEST
Step-by-step explanation:
Refer to the pic...
Hope it helped you!
Step-by-step explanation:
Since it takes 6 trips to cover 24 km -
1 trip = 24/6
Therefore 1 trip is -
4 km
Now, the distance for 21 trips is -
21*4 = 84
Therefore, Brad has walked -
84 km
HOPE YOU FIND THIS HELPFUL
The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction
Answer:
13/25
Step-by-step explanation:
The total number of people is 20 + 6 + 17 + 7 = 50.
Of these, the number that have brown or green eyes is 20 + 6 = 26.
So the probability is 26/50, which reduces to 13/25.
The probability that a person chosen at random from this group has brown or green eyes is; 13/25
How to find the probability?From the given data values, we can deduce that;
Total number of people = 20 + 6 + 17 + 7 = 50.
Now, the total number of people that have brown or green eyes is;
Total(brown or green eyes) = 20 + 6 = 26.
Thus, the probability that a person chosen at random from this group has brown or green eyes is;
P(brown or green eyes) = 26/50 = 13/25.
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(07.02 MC)
An equation is shown below:
3(4x - 2) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 12x - 2 = 1; Step 2: 12x = 3
Step 1: 12x - 6 = 1; Step 2: 12x = 7
Step 1: 7x + 1 = 1; Step 2: 7x = 0
Step 1: 7x - 5 = 1; Step 2: 7x = 6
Find HY if YL=9. nobody has shown me how to do this the last two weeks
Step-by-step explanation:
(a) Your computer may be programmed to allocate borderline cases to the
next group down, or the next group up; and it may or may not manage
to follow this rule consistently, depending on its handling of the numbers
involved. Following a rule which says 'move borderline cases to the next
group up', these are the five classifications.
(i) 1.0-1.2 1.2-1.4 1.4-1.6 1.6-1.8 1.8-2.0 2.0-2.2 2.2-2.4
6 6 4 8 4 3 4
2.4-2.6 2.6-2.8 2.8-3.0 3.0-3.2 3.2-3.4 3.4-3.6 3.6-3.8
6 3 2 2 0 1 1
(ii) 1.0-1.3 1.3-1.6 1.6-1.9 1.9-2.2 2.2-2.5
10 6 10 5 6
2.5-2.8 2.8-3.1 3.1-3.4 3.4-3.7
7 3 1 2
(iii) 0.8-1.1 1.1-1.4 1.4-1.7 1.7-2.0 2.0-2.3
2 10 6 10 7
2.3-2.6 2.6-2.9 2.9-3.2 3.2-3.5 3.5-3.8
6 4 3 1 1
(iv) 0.85-1.15 1.15-1.45 1.45-1.75 1.75-2.05 2.05-2.35
4 9 8 9 5
2.35-2.65 2.65-2.95 2.95-3.25 3.25-3.55 3.55-3.85
7 3 3 1 1
(V) 0.9-1.2 1.2-1.5 1.5-1.8 1.8-2.1 2.1-2.4
6 7 11 7 4
2.4-2.7 2.7-3.0 3.0-3.3 3.3-3.6 3.6-3.9
7 4 2 1 1
(b) Computer graphics: the diagrams are shown in Figures 1.9 to 1.11
If a equals 15, then what number does 2a - 5 equal?
Answer:
25
Step-by-step explanation:
a=15
2(15)-5=25
30-5=25
Answer:
25
Step-by-step explanation:
The problem substituting a for 15 would be 2(15)-5
2*15 is 30, then -5 is 25.
i attached the question in the image below
Answer:
45°
Step-by-step explanation:
[tex]tan^{-1}(1)[/tex] = 45°
Answer:
[tex]\huge\boxed{\theta=45^o\ \vee\ \theta=225^o}[/tex]
Step-by-step explanation:
[tex]\tan\theta=1[/tex]
[tex]\bold{METHOD\ 1}\\\\\text{Use the table in the attachment}\\\\\tan45^o=1\to\theta=45^o\ \vee\ \theta=45^o+180^o=225^o\\\\\bold{METHOD\ 2}\\\\\tan\theta=1\to\tan^{-1}1=\theta\to\theta=45^o\ \vee\ \theta=225^o[/tex]
help me!!!! solve 4t+6=24
Answer:
We move all terms to the left:
4t+6-(-24)=0
We add all the numbers together, and all the variables
4t+30=0
We move all terms containing t to the left, all other terms to the right
4t=-30
t=-30/4
t=4.5
Brainiest?
Answer:
[tex]\boxed{t=\frac{9}{2} }[/tex]
Step-by-step explanation:
[tex]4t+6=24[/tex]
Subtract 6 on both sides.
[tex]4t+6-6=24-6[/tex]
[tex]4t=18[/tex]
Divide 4 on both sides.
[tex]\displaystyle \frac{4t}{4} =\frac{18}{4}[/tex]
[tex]\displaystyle t=\frac{9}{2}[/tex]
StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout
Answer:
[tex]x = 1.25[/tex]
[tex]y = 0[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y = 5[/tex]
[tex]0.08x + 0.10y = 0.10[/tex]
Required
Determine the solution
Make x the subject of formula in: [tex]4x - 5y = 5[/tex]
[tex]4x = 5 + 5y[/tex]
Divide both sides by 4
[tex]\frac{4x}{4} = \frac{5 + 5y}{4}[/tex]
[tex]x = \frac{5 + 5y}{4}[/tex]
Substitute [tex]x = \frac{5 + 5y}{4}[/tex] in [tex]0.08x + 0.10y = 0.10[/tex]
[tex]0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10[/tex]
Solve the fraction
[tex]0.02(5 + 5y) + 0.10y = 0.10[/tex]
Open the bracket
[tex]0.1 + 0.1y + 0.10y = 0.10[/tex]
[tex]0.1 + 0.2y = 0.10[/tex]
Subtract 0.1 from both sides
[tex]0.1-0.1 + 0.2y = 0.10 - 0.1[/tex]
[tex]0.2y = 0[/tex]
Divide both sides by 0.2
[tex]y =0[/tex]
Substitute 0 for y in [tex]x = \frac{5 + 5y}{4}[/tex]
[tex]x = \frac{5 + 5*0}{4}[/tex]
[tex]x = \frac{5 + 0}{4}[/tex]
[tex]x = \frac{5 }{4}[/tex]
[tex]x = 1.25[/tex]
Please answer this now in two minutes
Answer:
[tex] s = 14.1 [/tex]
Step-by-step explanation:
Find s using the Law of Cosines:
m < S = 31°
SR = q = 21
SQ = r = 9
QR = s = ?
Thus,
[tex] s^2 = r^2 + q^2 - 2(r)(q)*cos(S) [/tex]
[tex] s^2 = 9^2 + 21^2 - 2(9)(21)cos(31) [/tex]
[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]
[tex] s^2 = 522 - 324.0216 [/tex]
[tex] s^2 = 197.9784 [/tex]
[tex] s = \sqrt{197.9784} [/tex]
[tex] s = 14.07 [/tex]
[tex] s = 14.1 [/tex] (to the nearest tenth)
plz tell me this solution
Answer:
A. x = 36
B. x = 10
C. x = 36
D. x = 25
E. x = 60
Step-by-step explanation:
A. Since it is a straight line, the total degrees will be 180. Add the two angle values and set them equal to 180.
2x + 3x = 180
5x = 180
x = 36
B. This is right angle, meaning that the total degrees will be 90. Add the two angle values and set them equal to 90.
4x + 5x = 90
9x = 90
x = 10
C. The angles are around a point, meaning that the total degrees will be 360. Add the angle values and set them equal to 360.
x + 2x + 3x + 4x = 360
10x = 360
x = 36
D. Like part A, the straight line has 180 total degrees. Add the angle values and set them equal to 180.
3x - 5 + x + 20 + 65 = 180
4x - 5 + 20 + 65 = 180
4x + 80 = 180
(4x + 80) - 80 = 180 - 80
4x = 100
(4x)/4 = 100/4
x = 25
E. Like part A, the angles around the point have 360 total degrees. Add the angles values and set them equal to 360.
x + 2x + 2x + 60 = 360
5x + 60 = 360
(5x + 60) - 60 = 360 - 60
5x = 300
(5x)/5 = 300/5
x = 60
Answer:
a = 36°
b = 20°
c = 36°
d = 25°
e = 60°
Step-by-step explanation:
A)
2x + 3x = 180° (angles on a straight line = 180°)
5x = 180°
X = 180 / 5
x = 36°
B) 4x + 5x = 90° (sum of two acute angles in a right angle triangle = 90°)
9x = 90
x = 90 / 9
x = 10°
C) 2x + x + 4x + 3x = 360° (sum of angles at a point = 360°)
10x = 360°
x = 360 / 10
x = 36°
D) (3x - 5) + (x + 20) + 65 = 180 (sum of angles on a straight line = 180)
Open brackets
3x - 5 + x + 20 + 65 = 180
4x + 80 = 180
Collect like terms
4x = 180 - 80
4x = 100
X = 100 / 4
x = 25°
E)
x° + 60° + 2x° + 2x° = 360° (angle at a point = 360°)
5x° + 60° = 360°
Collect like terms
5x° = 360° - 60°
5x° = 300°
x = 300 / 5
x = 60°
Which of the graphs above is the graph of the equation below? Y=x^3-6x^2+11x-6=(x-3)(x-2)(x-1)
Answer:
answer Z
Step-by-step explanation:
Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positive [tex]x^3[/tex] , then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)
2. A vertical stick 10 cm long casts a shadow 8 cm long. At the same time a tower casts a
shadow 30 m long. Determine the height of the tower.
Answer:
The height of the tower is:
24 meters
Step-by-step explanation:
1 meter = 100 centimeters
10 centimeters = 10/100 = 0.1 meters
8 centimeters = 8/100 = 0.08 meters
On a three rule:
0.1 meters is to 0.08 meters
30 meters is to A meters
A = 30*0.08/0.1
A = 24 meters
Related task:
https://brainly.lat/tarea/14821170
When using a calorimeter, the initial temperature of a metal is 70.4C. The initial temperature of the water is 23.6C. At the end of the experiment, the final equilibrium temperature of the water is 29.8C. What is the final temperature of the metal? C What is the temperature change of the water? C What is the temperature change of the metal? C
Answer:
29.8C6.2C-40.6CStep-by-step explanation:
a) "Equilibrium" means the final temperatures of everything in the calorimeter are the same. The final temperature of the metal is the same as that of the water: 29.8C.
__
b) The temperature change of the water is ...
final temp - initial temp = 29.8C -23.6C = 6.2C
__
c) The temperature change of the metal is ...
final temp - initial temp = 29.8C -70.4C = -40.6C
Answer:
29.8C
6.2C
-40.6C
Step-by-step explanation: