Answer:
x=3
Step-by-step explanation:
- 3 on both sides
2x=6
divide by 2 on both sides
x=3
Answer:
x = 3
Step-by-step explanation:
[tex]2x+3=9[/tex]
Subtract 3.
[tex]2x=9-3\\2x=6[/tex]
Divide by 2.
[tex]x=\frac{6}{2}\\ x=3[/tex]
Use the Trapezoidal Rule with n = 4 to approximate
0.3523
0.7048
0.2456
0.4913
Answer:
0.7048
Step-by-step explanation:
∫₂⁴ 1 / (x − 1)² dx
n = 4, so we divide the interval into 4 regions. The width of the regions is:
(4 − 2) / 4 = 0.5
So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Evaluate f(x) at the ends of each interval.
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Find the area of each trapezoid:
A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36
A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900
So the total approximate area is:
A = 0.705
Closest answer is 0.7048.
The value of expression is,
⇒ 0.7048
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ ∫₂⁴ 1 / (x − 1)² dx
Now, For n = 4, we divide the interval into 4 regions.
Hence, The width of the regions is:
= (4 − 2) / 4
= 0.5
Thus, the intervals are,
⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Thus, We can evaluate f(x) at the ends of each interval as,
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Hence, the area of each trapezoid are,
A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36
A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900
Therefore, the total approximate area is:
A = A₁ + A₂ + A₃ + A₄
A = 0.7048
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Formula for a area of a circle
Answer:
A=(pie) r^2
Step-by-step explanation:
A = Area
(pie) = 3.14
r^2 = (r is the radius)
Answer:
pi r^2
Step-by-step explanation:
That is your answer
At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Step-by-step explanation:
For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:
[tex] y = mx +b[/tex]
We have the following info given:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Answer:
Step-by-step explanation:
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 94 , 60 ) and ( x₂ , y₂) = ( 96,66) .
y₂ - y ₁ 66 - 60 6
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 96 - 94 2
Slope , m = 6/2 = 3 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 3 x + b .
To find value of b , we put ( 94 , 60 ) in place of x and y .
Put x = 94 and y = 60 , we get
60 = 3 * 94 + b
60 = 282 + b
60 - 282 = b
- 222 = b
Thus we get b = - 222 .
So the equation become
y = 3 x - 222 .
Equation in slope intercept form representing the situation isy = 3 x - 22236 + 1.80 + 2.16 I'm stuck
Answer:
39.96 should be the right answer
Answer: 39.96
Step-by-step explanation:
36+1.80=37.80
Then you add 2.16
37.80+2.16=39.96
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.
Answer:
26
Step-by-step explanation:
5(7 − 4)^2 ÷ 3 + 11.
PEMDAS says parentheses first
5(3)^2 ÷ 3 + 11.
Then exponents
5 (9)÷ 3 + 11.
Multiply and divide from left to right
45 ÷ 3 + 11
15 +11
26
Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
how to find area of a rectangular shape
Answer:
You multiply the length and the width to get the area.
Step-by-step explanation: For example if the length was 5 and the width was four the answer would be 20 because 5x4=20
what is the answer for log 3 9 =
Answer:
The answer is 2
Step-by-step explanation:
log
3(
9)
3 to what power is equal to 9?
Since 3^2=
9,
log
3
(
9)=2
Hope this helps!
Please mark brainliest :)
Find the circumference of each circle.
Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula: so the answer is B
Step-by-step explanation:
Which relation is a function?
Answer:
A.
Step-by-step explanation:
You can tell if it has a function or not by the x-axis/domain. It does not matter if the y-axis/range has the same number, but if the x-axis has the same number then that would not be a function. Hope this helps!
how many solutions does the equation have
y=2x^2+3x-10=0
Answer:it has two
Step-by-step explanation: x =(3-√89)/4=-1.608
x =(3+√89)/4= 3.108
A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?
Answer:
The answer is 17/20
Step-by-step explanation:
idk
Answer (*shrugs*):
Red = 1/5
Green = 9/20
Blue = 1/5
Imagine math please help
Answer:
The one in the upper left corner
Step-by-step explanation:
it is a good equation and the wording matches the problem
Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers.
Identity property of addition: 8 + 1 = 8
Identity property of multiplication: 8(0) = 0
What was Michael’s mistake?
He should have added 0 to 8 and multiplied 1 by 8.
He should have 8 + 1 = 9.
He should have 8(0) = 8.
He should have distributed the 8.
Answer:
He should have added 0 to 8 and multiplied 1 by 8
Step-by-step explanation:
Michael should have added 0 to 8 and multiplied 1 by 8.
What is multiplication?Multiplication is the process of adding a number up to a given number.
The identity property of addition is 0 and the identity property of multiplication is 1.
Therefore, Michael should have added 0 to 8 and multiplied 1 by 8.
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You have 4 yards of ribbon. You need to wrap 6 equal sized boxes with the ribbon. How many feet of ribbon can you use on each box?
Answer:
24
Step-by-step explanation:
1 yard=36 inches
36x4=144
144/6=24
62,394 to the nearest hundred
Answer:
62400
Step-by-step explanation:
Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.
94 is not less than 50
94 is bigger than or equal to 50
Round up:
394 ---> 400
= 62,400
Answer:
62,400
Step-by-step explanation:
You would round 90 to the nearest hundred which is 400
If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2
How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.
Answer:
Look below.
Step-by-step explanation:
I mean I can tell because set B is literally just +20 from Set A
Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
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Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player needs to raise more? How can estimation help you solve?
Answer:
The softball team needs to raise more money per person.
Step-by-step explanation:
To calculate what you need in each team you have to divide the money you need by the number of players in each team, because each one contributes an equal amount.
The softball team needs to raise $ 318.12 between the twelve girls on the team:
318.12 / 12 = 26.51
$ 26.51 each girl needs to contribute
The hockey team needs to raise $ 391.92 between the 24 boys on the team
391.92 / 24 = 16.33
$ 16.33 each boy needs to contribute
Therefore, the softball team needs to raise more money per person.
Can someone please help me with this?
Answer:
Step-by-step explanation:
find the proportion and solve for the volume.
Find the volume of this figure.
12 m
6 m
6m
Answer:
432
Step-by-step explanation:
To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.
Hope this helps!
(Also can I get Brainliest? Please?)
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Answer:
Bronze
Step-by-step explanation:
To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:
Mass of necklace = 192g
Volume = 19.5cm^3
Density =...?
Density of a substance is simply defined as the mass of the substance per unit volume.
Density = Mass /volume
Density = 192g / 19.5cm^3
Density = 9.85g/cm^3
Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.
Therefore, the necklace is made of bronze.
This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F
Answer:
D and F
A and C
B and E
Step-by-step explanation:
due to the fact that it is a rectangle prism, and the A is on the left and C is on the right, the other alphabet B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism
Answer:
a,b,e
Step-by-step explanation:
Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run
Answer:
4,000 yards
Step-by-step explanation:
2,000 ft * 6 days = 12,000 feet ran in total
Conversion: 3 feet = 1 yard
12,000 ft = 4000 yards
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
A square can also be classified as which of the following?
rhombus
rectangle
parallelogram
trapezoid
quadrilateral
Thanks gamers
Answer:
Step-by-step explanation:
A square is a rhombus, rectangle, parallelogram, and quadrilateral. So basically it is everything accept for a trapezoid. It has all equivalent sides so it is a rhombus. It has all right angles so it is a rectangle, it has four sides so it is a quadrilateral, and opposite sides are equal so it is a parallelogram. Hope it help's! ;)Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minutes. P ( 60 + minutes ∣ public transportation ) = P(60+ minutes ∣ public transportation)=P, left parenthesis, 60, plus, start text, space, m, i, n, u, t, e, s, space, end text, vertical bar, start text, space, p, u, b, l, i, c, space, t, r, a, n, s, p, o, r, t, a, t, i, o, n, end text, right parenthesis, equals
Complete Question
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.
[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]
Answer:
[tex]\dfrac{108}{329}[/tex]
Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]
