ch of the following collections are w A collection of first six even number A collection of tall girls of class X. A collection of good football player A collection of wild animals. A collection of days of a week. he symbols e or €: {a, e, i, o, u}​

9514 1404 393

Answer:

  750 cm³

Step-by-step explanation:

The volume is given by the formula ...

  V = LWH . . . . where L, W, H represent length, width, height

The volume is the product of the dimensions.

  V = (15 cm)(5 cm)(10 cm) = 750 cm³

Answer:

9

Step-by-step explanation:

it's as simple as that 9 is 9 away from 0

Answer:

A. 2x²+x-9

Step-by-step explanation:

2x²+x-9 = 2x²+1x-9

9514 1404 393

Answer:

  (x, y) = (1/2, -√3/2)

Step-by-step explanation:

The coordinates on a unit circle of the intersection of the terminal ray of angle α are ...

  (x, y) = (cos(α), sin(α))

For α = 5π/3, the point on the unit circle is ...

  (x, y) = (cos(5π/3), sin(5π/3)) = (1/2, (-√3)/2)

Answer:

147

Step-by-step explanation:

The number is three times the other number

so 7 and 21

cause 7 x 3 = 21

finally check 21 x 7 = 147

x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

The equation is the relationship between variables and is represented as y = ax+b is an example of a polynomial equation.

Let the hours be x and the hourly rate is y.
Now the data given in the table is calibrated into the equation.
The equation for A,
y = 15x + 35    - - - - - (1)
The equation for B,
y = 12x + 40    - - - - - - (2)

Solving equations 1 and 2
15x + 35 = 12x + 40
3x = 5
x = 5/3
x = 1.67 hour
Now put it on equation 2 and equation 1
y(B) = 12 * 1.68 + 40
y (B)= $60.1
y(A) = 12 *1.68 + 35
y(A) = $60.2


Thus, x = 1.67 hours is the nearest time when Plumer B becomes more expensive than plumber B.

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Answer:

Sum is 20,935.

Step-by-step explanation:

This is an arithmetic progression.

Sum:

[tex]S = \frac{n}{2} (2a + (n - 1)d) [/tex]

n is the number of terms, n = 79

S is the sum

a is the first term, a = -8

d is common difference, d = -1-(-8) = 7

substitute:

[tex]S = \frac{79}{2} (2 \times - 8 + (79 - 1) \times 7)) \\ \\ S = \frac{79}{2} ( - 16 + 546) \\ \\ S = \frac{79}{2} (530) \\ S = 20935[/tex]

Answer:

(1,4) (2,4)(3,4)

Step-by-step explanation:

Answer:

112 ft^2

Step-by-step explanation:

The volume of the rectangular prism is

V = l*w*h where l is the length, w is the width and h is the height

V = 4*4*7

V = 112 ft^2

Answer:

A, C, D

Step-by-step explanation:

P(x) = 1600+1200*x, clearly x represents the number of cars solved as it's a variable. 1600 is the base pay and 1200 is the commission he get on each variable/car

Answer:

B,C,D

Step-by-step explanation:

I got this on usatestprep.

Answer:

54ft

Step-by-step explanation:

if 3foot is 4ft tall

then a shadow of 72 ft will be how tall?= x

4x =3ft by 72ft

4x= 216ft

x= 216/4

×=54

Answer:

124,503 round to 125,000

Step-by-step explanation:

4 is in the thousands place

We look at the hundreds place

5 is in the hundreds place.  Since 5 is 5 or greater, we round the 4 up

124,503 round to 125,000

Answer:

Step-by-step explanation:

Vẽ góc vuông. - Trên hai canh góc vuô dùng thước thước có chia khoảng vẽ hai đoạn thẳng bằng nhau có chung một điểm và nối hai điểm còn lại.

Answer:

4b³ + 11b² - 6b + 13

Step-by-step explanation:

Subtract like terms.

6b³ - 2b³ = 4b³

3b² - (-8b²) = 3b² + 8b² = 11b²

0 - 6b = -6b

8 - (-5) = 13

All together, the difference is 4b³ + 11b² - 6b + 13.

Answer:

C

Step-by-step explanation:

They are neither perpendicular nor parallel since line 1 has slope=-3/5 and line 2 has slope=-5/3. They are neither equal nor have a product equal to - 1.

We know

Sum of two interior angles =exterior angle

[tex]\\ \sf\longmapsto 2x+x=3x[/tex]

[tex]\\ \sf\longmapsto 3x=3x[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

C

Step-by-step explanation:

Sorry if im wrong it just looks right to me.

Answer:

x = -1/4

Step-by-step explanation:

-4(-5x-3) = 7

Distribute

20x +12 = 7

Subtract 12 from each side

20x+12-12 = 7-12

20x = -5

Divide by 20

20x/20 = -5/20

x = -1/4

Answer:

Step-by-step explanation:

Part A:

The interquartile range is approximately 10

Part B:

The difference between the median values for each data set  is approximately 6

Part C:

i) More widely distributed and concentrated to the beginning of the month

The better measure of the center for the male dataset is the median

ii) The skewed distribution

The mean is the better measure of center for the dataset

Part D;

A possible reason for the outlier is by chance

Part A : The IQR for the male's data 25-2=23.

Part B : The difference between the median values of each data set 20-6=14

Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.

Because the data has outliners, the meadian would be a better measure of center for females.

Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.

A boxplot is a chart that used to represent data analysis.

How to solve boxplot?

Part A : The IQR for the male's data 25-2=23.

Part B : The difference between the median values of each data set 20-6=14

Part C : Because there are no outliers in the data, the mean would be a better estimate of center for Males.

Because the data has outliners, the meadian would be a better measure of center for females.

Part D : The females adore those particular movie stars and have a large group of pals with whom they may socialize whenever they want.

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Answer:

Music place has a better buy

Step-by-step explanation:

CD express

60 dollars / 4 cds = 15 dollars per cd

Music places

75 dollars / 6 cds = 12.50 per cd

Step-by-step explanation:

The answer is mentioned above.

Answer:

c

Step-by-step explanation:

cheese is rotten milk

Answer:

y = 7

Step-by-step explanation:

Equate the equation to equal 0.

8(y-7) = 0

Open up the bracket:

8y - 56 = 0

Add 56 to both sides:

8y = 56

Divide both sides by 8:

y = 7

[tex]\\ \sf\longmapsto \frac{5}{ \sqrt{7} - \sqrt{3} } + \frac{1}{ \sqrt{7} + \sqrt{3} } \\ \\ \sf\longmapsto \frac{5( \sqrt{7} + \sqrt{3} ) + 1 (\sqrt{7} - \sqrt{3} )}{( \sqrt{7} - \sqrt{3} )( \sqrt{7} + \sqrt{3} )} \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + 5 \sqrt{3} + \sqrt{7} - \sqrt{3} }{( { \sqrt{7} )}^{2} - ( \sqrt{3}) {}^{2} } \\ \\ \sf\longmapsto \frac{5 \sqrt{7} + \sqrt{7} + 5 \sqrt{3} - \sqrt{3} }{7 - 3} \\ \\ \sf\longmapsto \frac{6 \sqrt{7} + 4 \sqrt{3} }{4} [/tex]

Answer:

x = 134

Step-by-step explanation:

All right, I'm not the best at explaining these but I will try. So first these two are parallel lines (Because you can see the 2 arrows >> like this). When looking at the problem what I would first to is find the angle on the other side of 46, which is 134. Since these are parallel lines the line up there will also equal the same. So x would equal 134 and the angle on the other side will be 46. I hope that makes sense, if not you can ask me what doesn't make sense and I will try to explain it

Answer:

x = 134°

Step-by-step explanation:

x and 46° are same- side interior angles and sum to 180° , so

x + 46° = 180° ( subtract 46° from both sides )

x = 134°

Answer:

582-600

1,234-1,200

640-600

770-800

1,104-1,100

a) The equation has a root in the interval (-1,0)

b) The solution of [tex]2x+3cos(x)+e^{x}=0[/tex] by using the Bisection Method is x=0.9977 accurate within [tex]10^{-3}[/tex]

a) The intermediate zero theorem (Bolzano's Theorem) tells us that whenever you have a continuous function in a given interval and the extremes of the functions on this interval have oposite signs, then there must be a zero in between those extreme values.

"If a function f on the closed interval [a,b] is a continuous function and it holds that f(a)>0 and f(b)<0 or f(a)<0 and f(b)>0, then there is at least one x-value such that f(x)=0"

So basically we need to evaluate the given equation for both extremes of the interval x=-1 and x=0, if they return results opposite in sign, then there must be a zero in that interval, so let's evaluate the function for x=-1:

[tex]2x+3cos(x)+e^{x}[/tex]

[tex]2(-1)+3cos(-1)+e^{-1}=-0.0112[/tex]

Let's now test for x=0

[tex]2x+3cos(x)+e^{x}[/tex]

[tex]2(0)+3cos(0)+e^{0}=4[/tex]

So notice we ended up with two values -0.0112 and 4. One is positive and the other is negative, therefore there must be a zero in that interval.

b) The zero is located at x=-0.9977

The idea of the bisection method is to find values for x in the middle of two x-values that return opposite sign answers when evaluated on the given function. So we can start with the extremes of the given interval:

x=-1 and x=0

so we find the value in the middle by using the following formula:

[tex]mid-value=\frac{x_{1}+x_{2}}{2}[/tex]

so we get:

[tex]mid-value=\frac{-1+0}{2}[/tex]

mid-value=-0.5

Next, we evaluate the given function for that value:

[tex]2(-0.5)+3cos(-0.5)+e^{-0.5}=2.2393[/tex]

Since we got a positive answer, we now find the midpoint between -0.5 and -1 (which was the last x-value that returned a negative answer) so we get:

[tex]mid-value=\frac{-1-0.5}{2}[/tex]

mid-value=-0.75

Next, we evaluate the given function for that value:

[tex]2(-0.75)+3cos(-0.75)+e^{-0.75}=1.1674[/tex]

and we repeat the process until que get to the desired accuracy. I uploaded a table that has the corresponding iterations and its answers. There were 14 iterations done until we got to the final answer x=-0.9977.

Learn more about the intermediate zero theorem here:

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Answer:

543

Step-by-step explanation: