Answer:
2
Step-by-step explanation:
Average rate of change of a function between x=a and x=b is:
[ f(b) − f(a) ] / (b − a)
On the interval 3 ≤ x ≤ 5:
[ f(5) − f(3) ] / (5 − 3)
[ (5²/4 − 5) − (3²/4 − 5) ] / (5 − 3)
(25/4 − 5 − 9/4 + 5) / (5 − 3)
(25/4 − 9/4) / (5 − 3)
(16/4) / 2
2
What is the cube root of 27a^12?
answer: 3a^4 is the correct answer
Answer:3a^4
Step-by-step explanation:
What do the expressions (3up3)and (3up4) have in common
Answer:
They both have 3 up ig
Step-by-step explanation:
Which would you rather have: 21% of $3,876 or 17% of $4,552? choose an inequality sign.
Step-by-step explanation:
21 percent of 3,876 is 813.96$, and 17 percent of 4552 is 773.67$. 813.96>773.67
21% of $3,876 is $813.96, while 17% of $4,552 is $773.84. Therefore, 21% of $3,876 inequality sign is greater than 17% of $4,552.
Explanation:Choosing between 21% of $3,876 or 17% of $4,552 involves calculating each percentage of the given amounts to compare which is greater. To do this:
Calculate 21% of $3,876: 0.21 × 3876 = $813.96.
Calculate 17% of $4,552: 0.17 × 4552 = $773.84.
Comparing these two amounts using an inequality sign, we see that $813.96 is greater than $773.84. So, you would rather have 21% of $3,876 than 17% of $4,552.
The inequality would be written as:
21% of $3,876 > 17% of $4,552
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The points (0, -5) and (x, y) have a slope of 0. What could be the coordinates of the point (x, y)?The points (0, -5) and (x, y) have a slope of 0. What could be the coordinates of the point (x, y)?
Answer:
(∞,-5)
Step-by-step explanation:
For a line to have a slope of 0, it has to be horizontal.
Any point that has a y value of -5 could form a horizontal line along with (0,-5).
What is the value of x when solving the equation 4x+(-4) = -2x+8
Answer:
You have to simplify the equation and find the answer
Step-by-step explanation:
[tex]4x + ( - 4) = - 2x + 8 \\ \\ 4x + 2x = 4 + 8 \\ \\ 6x = 12 \\ \\ x = 2[/tex]
Answer:
Step-by-step explanation:
4x+(-4) = -2x+8
4x - 4 = -2x + 8
Collecting like terms
4x + 2x = 8 + 4
6x = 12
Dividing through by 6
x = 12/6
x = 2
Andre is working from home to a festival that is 1 5/8 km away. He takes a quick rest after walking 1/3 km what fraction of the trip has Andre completed
Answer:
The fraction of trip completed by Andre is [tex]\frac{31}{24}[/tex] km
Step-by-step explanation:
Given as :
The Total distance between the home to a festival = 1 [tex]\frac{5}{8}[/tex] km
I.e The total distance between the home to a festival = [tex]\frac{13}{8}[/tex] km
The distance cover by Andre before taking rest = [tex]\frac{1}{3}[/tex] km
Let The fraction of trip completed by Andre = x km
So, According to question
The fraction of trip completed by Andre = The Total distance between the home to a festival - The distance cover by Andre before taking rest
or, x = [tex]\frac{13}{8}[/tex] km - [tex]\frac{1}{3}[/tex] km
or, x = [tex]\frac{39 - 8}{24}[/tex] km
∴ x = [tex]\frac{31}{24}[/tex] km
Or, The fraction of trip completed by Andre = x = [tex]\frac{31}{24}[/tex] km
Hence , The fraction of trip completed by Andre is [tex]\frac{31}{24}[/tex] km Answer
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
We know that the total distance is
[tex]1\frac{5}{8}km[/tex] which is standard fraction would be [tex]\frac{13}{8}km[/tex].
So, Andre walks [tex]\frac{1}{3}km[/tex], that means he needs to walk the following distance to get to the festival
[tex]\frac{13}{8}-\frac{1}{3}=\frac{39-8}{24}=\frac{31}{24}km[/tex]
Now, to find the fraction of the tripe that represents the distance he already completed, we have to divide
[tex]\frac{1}{3} \div \frac{13}{8}=\frac{1}{3} \times \frac{8}{13}=\frac{8}{30}=\frac{4}{15}[/tex]
Therefore, we completed a [tex]\frac{4}{15}[/tex] part of the total distance.
which expression is equivalent to 45+27
a.) 9(5x3)
b.) 9(5+3)
c.) (9x5)x(9x3)
d.) (9+5)x(9+3)
Answer:
B)
Step-by-step explanation:
Can you plz tell me the answer to:
1. Make w the subject of
y-aw=2w-1
2. Make q the subject of
2(q+p)=1+5q
3. Make r the subject of
t=r/r-3
4. Make r the subject of
P=10(q-3r)/r
Answer: see attached file
Step-by-step explanation: see attached file for explanation. Thanks!
Theo wants to use a cokkie recipe that makes 36 cookies but he wants to reduce the number of cookies to 24.if the recipe specifes using 2 cups of sugar, how many sugar should he use ?
Answer:
Theo Should use 1.3 cups of Sugar to make 24 cookies.
Step-by-step explanation:
Given;
Number of cookies required by recipe = 36 cookies
Number of cookies Theo wants to use = 24 cookies
Number of cups sugar recipe requires = 2 cups
We need to find Number of cups sugar Theo should use to make cookie according to recipe.
Now,
For 36 cookies = 2 cups of sugar
So For 24 cookies = Number of cups of sugar required for 24 cookies.
By Using Cross Multiplication we get;
Number of cups of sugar required for 24 cookies = [tex]\frac{24\times2}{36}= 1.33\ cups[/tex]
Hence Theo Should use 1.3 cups of Sugar to make 24 cookies.
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Which of the following shows that polynomials are closed under subtraction when two polynomials, (5x2 + 2x − 6) − (3x2 − 6x + 2), are subtracted?
2x2 − 4x − 4; will be a polynomial
2x2 − 4x − 4; may or may not be a polynomial
2x2 + 8x − 8; will be a polynomial
2x2 + 8x − 8; may or may not be a polynomial
Answer:
For [tex](2x^2 + 8x - 8)[/tex], the group is CLOSED as it a polynomial.
Step-by-step explanation:
Here, the given polynomials are:
[tex]P(x)=(5x^2+2x-6)\\Q(x)=(3x^2-6x+2)[/tex]
Now, a group G is said to be CLOSED UNDER SUBTRACTION if,
a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G
Now, here:
[tex]R(x) = P(x) - Q(x) = (5x^2+2x-6) - (3x^2-6x+2) = (2x^2 + 8x - 8)[/tex]
or, [tex]R(x) = (2x^2 + 8x - 8)[/tex]
Also, R(x) is a POLYNOMIAL.
So, R(x) is an Element of group G.
So, the set G of polynomials.
Hence, for the polynomial [tex](2x^2 + 8x - 8)[/tex], it will be a polynomial the group is CLOSED.
Answer:
The answer would be C
Step-by-step explanation:
You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a number less than 7 and then picking a 7 when you have 4 card: 4567
Answer:
1/8
Step-by-step explanation:
1 chance of of 4 cards. * because since she draws 4 times you do 4+4 = 8.
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Determine whether the pair of solids are similar, congruent, or neither. Figures are not necessarily drawn to scale.
Answer:
Neither
Step-by-step explanation:
Can be determined because there is enough information (Length, width, and height).
Not congruent because from the picture itself, the figures are in different sizes.
Not similar because:
The height ratio is not the same as the ratios of other dimensions.
1 : 4 is not similar to 6 : 12 and 4 : 8
A camping leader bought the items listed in the table for his team. What is the average cost of an item in his purchase?
A. $7.75
B.$7.58
C.$6.60
D.$5.44
The right answer is Option D: $5.44
Step-by-step explanation:
Given,
Cost of one sun visor = $6.25
Cost of 11 sun visors = 6.25*11 = $68.75
Cost of one sunglasses = $8.90
Cost of 4 sunglasses = 8.90*4 = $35.60
Cost of one water bottle = $9.50
Cost of 8 water bottles = 9.50*8 = $76
Cost of one whistle = $1.75
Cost of 15 whistles = 1.75*15 = $26.25
Total number of items = 11+4+8+15 = 38
Total cost of items = 68.75+35.60+76+26.25 = $206.60
Average = [tex]\frac{Sum\ of\ prices}{No.\ of\ items}[/tex]
[tex]Average=\frac{206.60}{38}\\Average=\$5.436[/tex]
Rounding off to nearest hundredth
Average = $5.44
The average price of an item is $5.44
The right answer is Option D: $5.44
Keywords: average, sum
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Greg wants to find the amount of concrete needed to cast a pillar he has designed. The pillar will have a base area of square yard and a height of yard. How much concrete does he need to cast the pillar?
Answer:
1/392 cubic yard
Step-by-step explanation:
V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³
Answer:
1/392
Step-by-step explanation:
i was foing this test and turns out this is right.
What is the slope of the line passing through the point 3,5 and -1,7
Answer:
m = -1/2
Step-by-step explanation:
As we move from the point (-1, 7) to the point (3, 5), x increases by 4 (this is the "run") and y decreases by 2 (this is the "rise").
Thus, the slope of the line connecting these two points is
m = rise / run = -2/4, or m = -1/2.
Answer:
1/2
Step-by-step explanation:
Name two coordinates that are on the line: [tex]y = 12[/tex]
Name two coordinates that are on the line: [tex]x = -5[/tex]
Answer:
(1,12) and (2,12).
(- 5,1) and (- 5, 2).
Step-by-step explanation:
y = 12 is a line that is parallel to the x-axis and at a constant distance of 12 units above the x-axis. Therefore, the points on the line will have any x-coordinate but have a constant y-coordinate i.e. 12.
Therefore, the two points on the line y = 12 can be (1,12) and (2,12).
x = - 5 is a line that is parallel to the y-axis and at a constant distance of 5 units left of the y-axis. Therefore, the points on the line will have any y-coordinate but have a constant x-coordinate i.e. - 5.
Therefore, the two points on the line x = - 5 can be (- 5,1) and (- 5, 2). (Answer)
Find the coordinates for the midpoint of the segment with endpoints give (3,5) and (-2,0)
Answer:
The coordinates of the mid-point are :
[tex](\frac{1}{2}, \frac{5}{2})[/tex]
Step-by-step explanation:
We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by
[tex](x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
Now, we have the given points as (3, 5) and (-2, 0).
By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,
[tex]x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}[/tex]
[tex]y = \frac{5+0}{2} = \frac{5}{2}[/tex]
∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is [tex](\frac{1}{2}, \frac{5}{2})[/tex].
My bed is 3 inches by 2 inches by
What is the volume of my bed?
2
in
6 ins
3
in.
5
in
8 in
Option A
Volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches
Solution:
Given are the dimensions of bed
To find: volume of bed
Since bed is generally of cuboid shape, we can use the volume of cuboid formula
volume of cuboid is given as:
[tex]\text{ volume of cuboid } = l \times w \times h[/tex]
Where, "l" is the length and "w" is the width and "h" is the height of cuboid
From attached figure in question
[tex]l = 2\frac{2}{3} inches = \frac{3 \times 2 + 2}{3} = \frac{8}{3} inches[/tex]
[tex]w = 3 inches[/tex]
[tex]h = \frac{1}{3} inches[/tex]
Substituting the values in formula,
[tex]v = \frac{8}{3} \times 3 \times \frac{1}{3}\\\\v = \frac{8}{3} = 2\frac{2}{3}[/tex]
Therefore volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches
A park is 4.6 miles long and 2.7 miles wide. If a racecar drove 50 times around the park. How far will it have to go?
The race-car will have to go for 730 miles
Step-by-step explanation:
The given is:
A park is 4.6 miles long and 2.7 miles wideA race-car drove 50 times around the parkWe need to find how far it will have to go
∵ The car will move around the park
- That means it moves the distance equal the perimeter of the park
∵ The dimensions of the park are 4.6 mile long and 2.7 miles wide
∵ The perimeter of the park = 2(length + width)
∴ The perimeter of the park = 2(4.6 + 2.7)
∴ The perimeter of the park = 2(7.3)
∴ The perimeter of the park = 14.6 miles
∵ The car will move around the park 50 times
∵ The distance of one round is 14.6 miles
∴ The distance for 50 rounds = 14.6 × 50
∴ The distance for 50 rounds = 730 miles
The race-car will have to go for 730 miles
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A candidate for mayor plans to campaign at 5 shopping malls before the election
In how many different ways can the candidate schedule the vists?
Enter your answer as a whole number
I’ll put you as brainliest
Answer:
120 ways
Step-by-step explanation:
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✉️ If any further questions, inbox me! ✉️
Answer:
56
Step-by-step explanation:
add
In the figure, CD=EF and AB= CE. Complete the statements to prove that AB = DF.
CD + DE= EF+ DE by the (addition,subtraction,substitution, or transitive)
Property of Equality.
CE=CD + DE and DF = EF + DE by (addition,subtraction, segment addition, or transitive)
CE = DF by the (addition,subtraction, segment addition, or transitive) Property of Equality.
Given, AB = CE and CE = DF implies AB = DF by the (addition,subtraction, segment addition, or transitive) Property of Equality.
Answer:
Hence Proved AB = DF
Step-by-step explanation:
In the Figure:
Given;
CD = EF
AB = CE
We need to prove AB = DF
Solution:
CD = EF ⇒ (Given)
Now Adding both side by DE we get;
CD + DE = EF + DE ⇒by the (Addition) Property of Equality.
CE=CD + DE and DF = EF + DE ⇒(Segment Addition)
Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]
CE = DF ⇒by the (transitive) Property of Equality.
Now Given:
AB = CE
CE = DF
Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]
AB = DF ⇒by the (Transitive) Property of Equality)
The correct options to fill in the gaps are:
Addition postulateSegment AdditionTransitive Property of EqualityTransitive Property of EqualityFrom the diagram given, we have that;
CD = EFAB = CEWe are to show that the segment AB is congruent to DF
Also from the diagram
CD + DE = EF + DE according to the Addition postulate of Equality CE = CD + DE and DF = DE + EF according to the Segment AdditionSince CD = EF, hence DF = DE + CE, this meansCD = DF by the Transitive Property of EqualitySimilarly, given that:
AB = CE and CE = DF implies AB = DF by the Transitive Property of Equality.
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In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes. If 30 days are randomly selected, find the probability that the mean wait time is greater than 20 minutes.
A: 0.0031
B: 0.1023
C: 0.3207
D: 0.9987
Answer: A: 0.0031
Step-by-step explanation:
Given : In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes.
i.e. [tex]\mu=17.4[/tex] and [tex]\sigma=5.2[/tex]
We assume that the wait times are normally distributed.
samples size : n= 30
Let x denotes the sample mean wait time.
Then, the probability that the mean wait time is greater than 20 minutes will be :
[tex]P(x>20)=1-P(x\leq20)\\\\=1-P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\leq\dfrac{20-17.4}{\dfrac{5.2}{\sqrt{30}}})\\\\=1-P(z\leq2.74)\ \ [\because\ z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-0.9969\ \ [\text{ By z table}]\\\\=0.0031[/tex]
Hence, the probability that the mean wait time is greater than 20 minutes.= 0.0031
Thus , the correct answer is A: 0.0031 .
Answer:
Answer: A: 0.0031
Step-by-step explanation:
alexandra earns 12$ an hour babysitting. she babysat 10 hours last week and 12 hours this week what equation shows how to find how much money (m) she earned in all
$120 +$144 =$264
Alexndra earns $264
tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using green blocks that are 8 cm tall. They both made towers the same height. What is the shortest possible height of the tower? how many of each color block did they use
The shortest possible height of tower is 24 cm.
Tim used 4 blue blocks and his brother used 3 green blocks.
Step-by-step explanation:
Given,
Height of blue block = 6 cm
Height of green block = 8 cm
We will take least common multiple to find the shortest possible height.
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24 cm
The shortest possible height of tower is 24 cm.
Number of blue blocks used = [tex]\frac{24}{6} = 4[/tex]
Number of green blocks used = [tex]\frac{24}{8} = 3[/tex]
Tim used 4 blue blocks and his brother used 3 green blocks.
Keywords: LCM, multiplication
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At the beginning of an environmental study a forest cover an area of 1500 km second power since then this area has decreased by 9.8% each year let T be the number of years since the start of the study letter y b the area that the forest covers in km to the second power write an exponential function showing the relationship between Y&T
Answer:
[tex]y=1500\cdot(0.902)^T[/tex]
Step-by-step explanation:
Let T be the number of years since the start of the study and y be the area that the forest covers in [tex]\text{km}^2[/tex].
We have been given that at the beginning of an environmental study a forest cover an area of 1500 [tex]\text{km}^2[/tex]. Since then this area has decreased by 9.8% each year.
We know that an exponential function is in form [tex]y=a\cdot(1-r)^x[/tex], where,
y = Final amount,
a = Initial amount,
r = Decay rate in decimal form,
x = Time.
Let us convert 9.8% into decimal as:
[tex]9.8\%=\frac{9.8}{100}=0.098[/tex]
We have been given that initial value (a) is [tex]1500[/tex].
Upon substituting our given values, we will get:
[tex]y=1500\cdot(1-0.098)^T[/tex]
[tex]y=1500\cdot(0.902)^T[/tex]
Therefore, our required exponential function would be [tex]y=1500\cdot(0.902)^T[/tex].
Which option is one important source of public opinion?
the Bill of Rights
mass media
public officials
pollsters
Answer:
Mass Media
Step-by-step explanation:
Answer: Got an (A) on my test, it is (Mass media)
Step-by-step explanation: OOOOFFF is my word
What is 272,062 rounded to the nearest hundred?
Answer:
272,100
This is because 62 rounds up
Answer:
272,100
You get this answer by looking at the hundreds place and then looking at the right of it. The hundreds place is the 0 and the the right of it is 6, so 5 and up round up 4 and down round down and in this case, 6 is above 5, so it rounds up to 272,100!
Hope this helped!
5. What is the amplitude of the sinusoidal function? Please help
Answer: 4
Step-by-step explanation:
The amplitude is the distance from the baseline to the maximum.
The lengths of the diagonals of a rhombus are 2x and 10x. What expression gives the perimeter of the rhombus?
A. 42
B.
196
Answer:
[tex]P=4x\sqrt{26}\ units[/tex]
Step-by-step explanation:
we know that
The sides of a rhombus are all congruent and the diagonals are perpendicular bisectors of each other
so
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the length side of the rhombus
a and b are the semi-diagonals
we have
[tex]a=2x/2=x\ units\\b=10x/2=5x\ units[/tex]
substitute the values
[tex]c^2=x^2+(5x)^2[/tex]
[tex]c^2=26x^2[/tex]
[tex]c=x\sqrt{26}\ units[/tex]
To find out the perimeter of the rhombus multiply the length side by 4
[tex]P=(4)(x\sqrt{26})[/tex]
[tex]P=4x\sqrt{26}\ units[/tex]
A line passes through the point (-8,8) and has a slope of -3/2. Write an equation in point-slope form for a this line.
Answer:
y-8=-3/2(x+8)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-3/2(x-(-8))
y-8=-3/2(x+8)
Final answer:
The equation of the line in the point-slope form that passes through (-8, 8) with a slope of -3/2 is y - 8 = (-3/2)(x + 8).
Explanation:
To write an equation in point-slope form for a line that passes through a given point with a known slope, we use the formula y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.
For the line that passes through the point (-8, 8) with a slope of -3/2, we substitute these values into the point-slope form equation:
y - 8 = (-3/2)(x + 8)
This equation represents the specific line asked in the problem.