Answer:
6x²-26x+31
Step-by-step explanation:
(x²-3x+5)(2x-7)
=2x³-7x²-6x²+21x+10x-35
=2x³-13x²+31x-35
Now to differentiate:
dx=6x²-26x+31
Let t
4 and u = 6 + 2i. Find t * u
Answer:
24 + 8i
Step-by-step explanation:
t = 4
u = 6 + 2i
t x u
= 4 ( 6 + 2i )
= 24 + 8i
Answer:
24+8i
Step-by-step explanation:
i took the test
A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Where is there most likely a peak in the data?
left side of the graph
right side of the graph
middle of the graph
cannot be determined without more information
please help
Hello,
Your answer would be right side of the graph
Please mark as brainiest
The peak in the data would likely be the right side of the graph.
The distribution of a data set when displayed on a dot plot is said to be skewed left (left skewed) when most of the data appear on the right side of the graph. This means, the highest scores are on the right while the lowest values of the variable are on the left side of the graph (in order words, tapers towards the left of the graph). See the image labelled A in the attachment below.
Also, for a data set distribution that is skewed right (right skewed), most of the data appear on the left side of the graph. It will have a tail tapering to the right. See the image labelled A in the attachment below.
For a data distribution that is skewed to the left, the peak in the data would most likely be at the right side of the graph.For a data distribution that is skewed to the right, the peak in the data would most likely be at the left side of the graph.Therefore, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.
Learn more about skewness of a data set here:
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Two adjacent angles of a parallelogram have equal measure. Find the
measure of each of the angles of the parallelogram.
Step-by-step explanation:
Let ABCD be the parallelogram with ∠A = ∠B.
We know: Sum of adjacent angles = 180°
∠A + ∠B = 180º
2∠A = 180º (∠A = ∠B)
∠A = 90º
∠B = ∠A = 90º
∠C = ∠A = 90º (Opposite angles)
∠D = ∠B = 90º (Opposite angles)
Thus, each angle of the parallelogram measures 90º
Answer:
All 4 angles are 90 degrees.
Step-by-step explanation:
The measure of 2 adjacent angles in a parallelogram add up to 180 degrees.
If they have equal measure then they are both 90 degrees.
As it is a parallelogram:-
the measure of each angle is 90 degrees.
denise is 6 years older than her sister. 8 years ago she was 4 times as old as her sister how old is each girl now
Answer:
Denise = 16
Sister = 10
Step-by-step explanation:
D=denise
S=sister
Eq 1) D=S+6
Eq 2) D-8 =4S-8
replace D with S+6 in Eq 2
(S+6)-8 = 4S -8
S-2 = 4S -8
add 8 to both sides
S+6 =4S
subtract S from both sides
6 = 3S
divide both sides by 3
2 = S ( this is the sister age 8 years ago )
2+8 = 10 current age
plug that into Eq 1)
D = 10 +6
D=16 (Denise's current age)
so
Denise = 16
Sister = 10
if you subtract 8 from each , then there ages 8 years ago would be
Denise =8
Sister = 2
and 2*4 = 8
this checks
Tìm x,y thỏa mãn: x^2-2xy+3y-5x+7=0
I think there's an error with this question. Mind to check it back and tell me the detail?
In the figure given alongside, angle a=angle x and angle b= angle y, show that angle x + angle y + angle z= 180°
From the diagram shown, the sum of the angle on the straight line is 180degrees.
This means that:
m<a + m<z + m<b = 180 ............. 1
Given the following
m<a = m<x ...... 2
m<b = m<y ...... 3
Substitute equations 2 and 3 into equation1 to have:
m<x + m<y + m<y = 180
Rearrange
m<x + m<y + m<z = 180
This shows the required proof.
Learn more here: https://brainly.com/question/18481614
18
20 men, 10 women and 10 children are in a competition.
The mean score for the women is 15.6.
The mean score for the children is 9.2.
Kevin says that the mean score for all 40 people is 11.2.
Work out the mean score for the men.
Answer:
20
Step-by-step explanation:
The mean score for the women = 15.6
Sum of score for the women = 15.6*10 = 156
The mean score for the children = 9.2
Sum of score for the children = 9.2 * 10 = 92
The mean score for all 40 people = 11.2
Sum of the score of 40 people = 11.2 *40 = 448
Sum of the score for 20 men = 448 - 92 - 156 = 200
Mean of the score for the men = 200÷ 20 =20
Determine the equations of the vertical and horizontal asymptotes, if any, for
Given:
The function is:
[tex]f(x)=\dfrac{2x}{x+4}[/tex]
To find:
The vertical and horizontal asymptotes of the given function.
Solution:
We have,
[tex]f(x)=\dfrac{2x}{x+4}[/tex]
For vertical asymptotes, equate the denominator and 0.
[tex]x+4=0[/tex]
[tex]x+4-4=0-4[/tex]
[tex]x=-4[/tex]
So, the vertical asymptote of the given function is [tex]x=-4[/tex].
The degree of the numerator is 1 and the degree of the denominator is also 1.
Since the degrees of numerator and denominator are equal, therefore the horizontal asymptote is:
[tex]y=\dfrac{a}{b}[/tex]
Where, a is the leading coefficient of numerator and b is the leading coefficient of denominator.
Leading coefficient of numerator is 2 and the leading coefficient of denominator is 1, so the horizontal asymptote is:
[tex]y=\dfrac{2}{1}[/tex]
[tex]y=2[/tex]
Therefore, the correct option is C.
height increase (m)
Temperature drop (°C)=
200
If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m
How far would you need to climb to experience a temperature drop of 5°C?
Complete question is;
In mountaineering, in general, the higher you go, the colder it gets. This formula shows how the heights and temperatures are related.
Temperature drop (°C) = height increase(m)/200
A) If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m
B) How far would you need to climb to experience a temperature drop of 5°C
Answer:
A) 19°C
B) 1500 m
Step-by-step explanation:
A) We are told that the temperature is at a height of 500 m is 23°C, now we want to find the temperature when height increases to 1300 m.
Thus, it means;
Height increase = 1300 - 500 = 800 m
Thus, from the formula;
Temperature drop (°C) = height increase(m)/200, we have;
Temperature drop (°C) = 800/200 = 4°C
Now,since Initial temperature was 23°C, thus temperature at this increased height ; 23°C - 4°C = 19°C
B) for a temperature drop of 5°C, we have;
5°C = height increase(m)/200
Height increase = 200 × 5
Height increase = 1000 m
Thus, you will need to climb; 500 + 1000 = 1500 m
Help me asap
Show your work too so i don’t get grounded
Answer:
1. 496 ft, 2. 126 mm, 3. 880 in, 4 168 cm, 5. 960m, 6. 42
Step-by-step explanation:
SA= Surface area, and surface area is A=2(w×l+h×l+h×w) and volume is V=w×h×l
W=width
H=height
L=length
Answer:
1. SA=58
2. SA=48
3. SA=78
4. V=168
5. V=960
6 V=420
Step-by-step explanation:
on 1-3 you are looking for the surface area and in order to look for the surface area of a rectangle prism it is 2(height)x2(lenght)x2(width). so you just plug in the number height is how tall the shape is, length is how long the shape is and width is hpw far the shape goes back. then you multiply the H, L, W by 2 and the you add all of the numbers and boom you get your answer.
Now for the Volume you just multiply the heigh x length x width and boom you answer
can someone please help ? i know one of the answers is c but couldn’t b and d also work ? when you figure them out you get x is less than 10 as well.
Answer:
b,c,d
Step-by-step explanation:
a ≤ 10 would have a closed circle at 10
b x+10 <15 x < 10 correct open circle line going to left
c x < 10 correct open circle line going to left
d 0 > x-10 10 > x x < 10 correct open circle line going to left
e 2 > x-11 13 > x would have open circle at 13
The open circle tells us that the sign is only less than/greater than, not less than/greater than or equal to. That immediately rules out A.
Now, we can see that this is a less than inequality, because the arrow is pointing to the left, toward the negative numbers. And, the inequality covers every number that is less than 10.
A - Incorrect, less than or equal to
B - Correct, when solved = x < 10
C - Correct
D - Correct, when solved = x < 10
E - Incorrect, when solved = x < 13
Hope this helps!
ASAPpppppppppppppppppppppp
Answer:
-4/5
Step-by-step explanation:
2/5 ÷ -1/2
Copy dot flip
2/5 * -2/1
-4/5
which statement is true regarding the functions on the graph
Answer:
f(3)=g(3)
Step-by-step explanation:
In this graph, the x (horizontal axis) represents the input and the y (vertical axis) represents the output. We know this because a function of x (f(x) and g(x) are two examples here) takes in x as the input, and y is the only variable left to be the output.
The question is asking when the two functions are equal based on the possible answers. First, we have to locate the point where the two lines meet, as depicted by the black dot in the picture. To find the x value of this, we can draw a vertical line (the light blue one I drew in the picture) and find where it meets the x axis (the horizontal one). This lines up with x=3. Similarly, for the y value, we can draw a horizontal line (the light green one) and find where it meets the y axis (the vertical one). This is when y=6.
Therefore, our functions are equal when x=3 and y=6. This means that f(3) = 6 and g(3)=6, and f(3)=6=g(3)
a group of 5 friends is out to dinner Each of the friends will order the dinner special and they have a coupon for $10 off the entire bill which equation can be used to find the total cost of all the dinners after the coupon is applied.
Answer:
TC = 5x -10
Step-by-step explanation:
Answer:
5d-10=C
Step-by-step explanation:
Because 5 friends are out to dinner so the cost of one meal is multiplied by five. Then you subtract 10 off the total for your answer, which is represented by the variable c
Relating a difficult text to a personal experience can help readers
their reading.
Answer:
connect to
Step-by-step explanation:
dont know why people whole summery just put the answer
Relating a difficult text to a personal experience can certainly help readers understand and engage with the text.
What is difficult text?Difficult text can refer to any type of written material that presents a challenge for the reader in terms of comprehension, vocabulary, or structure.
We have,
Relating a difficult text to a personal experience can certainly help readers understand and engage with the text.
When we connect new information to our existing knowledge and experiences, we are more likely to remember and comprehend the new information.
Additionally, making personal connections to the text can help readers to relate to the topic on a deeper, more emotional level, which can increase their interest and motivation to learn more.
For example,
If a reader is struggling to understand a complex scientific concept, they might try to relate it to an experience they had in their own life that involved similar principles.
This could involve recalling a time when they observed or experienced the concept in action or thinking about how the concept might be relevant to their own interests or goals. By making these connections, the reader may be able to better understand and remember the concept, as well as feel more invested in learning about it.
Overall, connecting difficult texts to personal experiences can be a useful strategy for improving reading comprehension and engagement, as well as making learning more enjoyable and meaningful.
Thus,
Relating a difficult text to a personal experience can certainly help readers understand and engage with the text.
Learn more about difficult texts here:
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Find the area of the triangle.
A. 73.6ft^2
B. 65.8 ft^2
C. 69.1 ft^2
D. 70.8 ft^2
The area of the triangle is (A) [tex]73.6ft^{2}[/tex].
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.Trigonometric area of a triangle:Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)
Solution -Now, out the values in the formula for the solution.
[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]
[tex]A=73.6ft^{2}[/tex]
Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].
Know more about the area of triangles here:
https://brainly.com/question/17335144
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solve on the interval [0,2pi] 3(sec x)^2 -4=0
Answer:
pi/6, 5pi/6, 7pi/6, 11pi/6
Step-by-step explanation:
3(sec x)^2 -4=0
Add 4 on both sides:
3(sec x)^2=4
Divide 3 on both sides:
(sec x)^2=4/3
Take square root of both sides:
sec x=plus/minus sqrt(4/3)
Reciprocal identity:
cos x=plus/minus sqrt(3/4)
Simplify the radical:
cos x=plus/minus sqrt(3)/2
So we are looking on the unit circle where the first coordinate of the order pair is either sqrt(3)/2 or -sqrt(3)/2.
This happens at pi/6, 5pi/6, 7pi/6, 11pi/6
Answer:
[tex]\sf \boxed{\sf x = \dfrac{\pi}{6},\dfrac{5\pi}{6},\dfrac{7\pi}{6},\dfrac{11\pi}{6}}[/tex]
Step-by-step explanation:
A trigonometric equation is given to us , and we need to find the solutions of the equation within the interval [ 0,2π ]
The given equation is ,
[tex]\sf\longrightarrow 3(sec x)^2-4=0 [/tex]
This can be written as ,
[tex]\sf\longrightarrow 3sec^2x - 4 = 0 [/tex]
Add 4 to both sides of the equation ,
[tex]\sf\longrightarrow 3sec^2x = 4 [/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow sec^2x =\dfrac{4}{3} [/tex]
Put squareroot on both sides ,
[tex]\sf\longrightarrow sec \ x =\sqrt{\dfrac{4}{3} }[/tex]
Simplify ,
[tex]\sf\longrightarrow sec\ x =\pm \dfrac{2}{\sqrt3} [/tex]
Multiply numerator and denominator by √3 ,
[tex]\sf\longrightarrow \bf sec(x) = \dfrac{ 2\sqrt3}{3},-\dfrac{2\sqrt3}{3} [/tex]
Solve for x ,
[tex]\sf\longrightarrow x = \dfrac{\pi}{6} +2\pi n , \dfrac{11\pi}{6}+2\pi n , \textsf{ for any integer n } . [/tex]
Therefore all the possible solutions are ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = \dfrac{\pi}{6},\dfrac{5\pi}{6},\dfrac{7\pi}{6},\dfrac{11\pi}{6}}} [/tex]
Please help me anyone
Answer:
115
Step-by-step explanation:
When x = -11, x^2 = 121. y = 121 - 6 = 115.
Hope this helped,
~cloud
Answer:
115
Step-by-step explanation:
y = x^2 - 6
Let x = -11
y = (-11)^2 - 6
y = (121) -6
= 115
Find the maximum value for the function 2x^3 + 3x^2 - 72x + 1
Find the volume of the composite solid.
10 cm
12 cm
32 cm
10 cm
Answer:
Your is answer would be choice C which is : 32 cm
Step-by-step explanation:
What is the value of x in the equation 3
3x+9 - ģx-37
?
Answer:
x = 6
Step-by-step explanation:
we can multiply the entire equation by 3 to simplify the numbers
-2x + 27 = 4x - 9
27 = 6x - 9
36 = 6x
x = 6
If a =7 , find the area of it .
Please give me the answer I have a exam at 12.00
Answer:
60cm²
Step-by-step explanation:
Area of a rectangle = length x breath
Let,
length (L) = (a-1) cm
breadth (B) = (a+3) cm
Putting the value of a = 7;
we get,
length= 7-1 = 6 cm
breadth= 7+3 = 10 cm
Therefore, area of the rectangle = L x B
= 6 x 10
= 60 cm²
Answer:
Step-by-step explanation:
Hello!
a= 7
L = 7+3 = 10
l= 7-1 = 6
area:
10*6 => 60cm²
Anyone good at Ks3 math?
Answer:
210 Km
Step-by-step explanation:
Distance travelled is calculated as
distance = speed × time ( time is in hours )
= 90 × 2 [tex]\frac{1}{3}[/tex]
= 90 × [tex]\frac{7}{3}[/tex]
= 30 × 7
= 210 Km
the degree of non zero constant polynomial is a. 1 b.4 c. a d.0
Answer:
please mark me as brainlist
What is the equivalent expression to 7/5y What is the equivalent expression to 0.68y What is the equivalent expression to 3/5y What is the equivalent expression to 1.32y
Given:
The expressions are:
[tex]\dfrac{7}{5}y[/tex]
[tex]0.68y[/tex]
[tex]\dfrac{3}{5}y[/tex]
[tex]1.32y[/tex]
To find:
The equivalent expression to the given expressions.
Solution:
There can be more than one equivalent expressions to the given expression.
[tex]\dfrac{7}{5}y=1.4y[/tex]
Therefore, [tex]1.4y[/tex] is equivalent to [tex]\dfrac{7}{5}y[/tex].
[tex]0.68y=\dfrac{68}{100}y[/tex]
[tex]0.68y=\dfrac{17}{25}y[/tex]
Therefore, [tex]\dfrac{17}{25}y[/tex] is equivalent to [tex]0.68y[/tex].
[tex]\dfrac{3}{5}y=0.6y[/tex]
Therefore, [tex]0.6y[/tex] is equivalent to [tex]\dfrac{3}{5}y[/tex].
[tex]1.32y=\dfrac{132}{100}y[/tex]
[tex]1.32y=\dfrac{33}{25}y[/tex]
Therefore, [tex]\dfrac{33}{25}y[/tex] is equivalent to [tex]1.32y[/tex].
Sarah had 25 candies. Sarah gave 25 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?
Answer:
She has 5 candles left.
Step-by-step explanation:
Total of candy Sarah has = 25candies
If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25
2/5 of 25 = 10
The remaining candy left will be 25-10 which is 15.
If she gave 2/3 of the amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.
Which pair of angles are vertical angles?
ZWRU and ZSRT
ZWRS and VRT
w
ZVRU and ZTRS
R
AVRT and ZSRT
O
Given:
A figure.
To find:
The pair of vertical angles.
Solution:
If two lines intersect each other, then they form 4 disjoint angles at the intersection point. From these 4 angles the alternative angles are known as vertical angles or vertically opposite angles.
In the given figure, the line TW and line SV intersect each other at R. So, the pair of vertical angles is [tex]\angle WRS[/tex] and [tex]\angle VRT[/tex].
Therefore, the correct option is B.
∠WRS and ∠VRT are vertically opposite angles
Vertical angles:Vertical angles are a pair of opposite angles formed by intersecting lines. They are formed when two lines meet. This angles are vertically opposite each other.
Vertically opposite angles are equal or congruent.
Therefore,
∠WRS and ∠VRT are vertically opposite angles
learn more on vertical angles here: https://brainly.com/question/17065398
x+5=7 .Find the value of x.
Answer:
x=2
Step-by-step explanation:
x+5=7
Subtract 5 from each side
x+5-5=7-5
x =2
Answer:
2
Step-by-step explanation:
x + 5 = 7
=> x = 7 - 5
=> x = 2
A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what is the average speed for the entire trip, in miles per hour?
Answer:
The answer is x = 1800
Step-by-step explanation:
Hope this helps :)
Have a nice day.
How many square millimeters are covered with paint? Express the answer in terms of π.
336π square millimeters
400π square millimeters
416π square millimeters
464π square millimeters
Answer:
336π square millimeters
Answer:
A
Step-by-step explanation:
