To two decimal places,
√70
must lie between ____
and _____.

Answer:

30x100= 3000

Step-by-step explanation:

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A 1.4142135623..., the number is an irrational number because the number is non-terminating.

B. 2.7182818284..., the number is an irrational number because the number is non-terminating.

C 3.1415926535..., the number is an irrational number because the number is non-terminating.

D 4.1818181818..., the number is a rational number because the number is terminating.

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

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Given that the between 16 and 20 minutes driving times to the campus is uniformly distributed, the mean driving time is 18 minutes

The correct option is therefore;

The time it takes to drive from the apartment to the campus = Between 16 and 20 minutes

The mean of a continuous uniform distribution between two boundaries, a and b is given by the formula;

[tex] \mu = \frac{a+b}{2} [/tex]

The mean amount of time it takes to drive to campus is therefore;

[tex] \mu = \mathbf{\frac{16+20}{2}} = 18 [/tex]

The correct mean driving time is the option;

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The points which are a distance of 13 units from (12,5) are (0,0)and (24,0).

The distance between two point with co-ordinates ([tex]x_1,y_1[/tex])  and ([tex]x_2,y_2[/tex]) is calculated by the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

All points on the x-axis have their y-coordinates equal to 0. So let the point (a,0) be a point on the x-axis such that the distance from (12,5) to (a,0) is 13 units.

Let us substitute the values into the distance formula to calculate the values of a so that we can find the two points.

[tex]13=\sqrt{(12-a)^2+(5-0)^2}[/tex]

Squaring both sides we get:

[tex]or,13^2=144-24a+a^2+25\\or,169-144-25-24a+a^2\\or,a^2-24a=0\\or,a(a-24)=0[/tex]

Now either a=0 or (a-24)=0

Therefore either a=0 or a=24.

Therefore the two points (0,0) and (24,0) .

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Answer:

x=±7; y=12.25.

Step-by-step explanation:

1) x-interception:
(y=0): x²=49, ⇒ x=±7;

2) y-interception:

(x=0):  4y=49; ⇒ y=12.25.

Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

Answer:

280. Answer choice D

Step-by-step explanation:

1st month: 60 meals

2nd month: 33% more than 1st month - 80 meals

(1 + (33/100)) * 60 = (1.33)(60) = 79.8 meals (Round to 80 meals)

3rd month: 2(60+80) = 280 meals

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(M) 280

Step-by-step explanation:

The first month the girls delivered 60 meals. For the second month 133% of 60 is (60 x 1.33) 79.8 which is ~ 80 meals. 80 + 60 = 140, 140 x 2 = 280

The answer is (M) 280

The sentence "5 is subtracted from the square of a number" represented as an algebraic expression is x² -5.

Algebraic expressions: what are they?

Given,

Let the number be x and 3 is subtracted from a number.

Represent it in expression.

Step 2

3 is subtracted from a number means 3 is subtracted from x.

Here we have to subtract 3 from x. It can be represented as = x - 3

Let the number be x.

In this exercise, you're required to write an algebraic expression to represent the word problem (sentence). Also, the number would be denoted by the letter x and no need for further simplification of the algebraic expression.

Translating the word problem (sentence) into an algebraic expression, we have;

Square of a number (x) = x²

Subtracting 5 from the the square of x, we have  x² -5 .

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The slope of f is m= -0.05577.

Given : The winning times for the​ 200-meter dash can be approximated by  f(x) = - 0.05577x+146.2 , where x is the year.

To find : The slope of f

Solution : Using slope intercept form a linear function is represented as

y = mx+b

where, m is the slope and b is the y-intercept.

We can write the function as  f(x) = - 0.05577x+146.2

Comparing with slope intercept form,

m= -0.05577 and y-intercept = 146.2

Therefore, The slope of f is m= -0.05577

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Answer:

  E.  a^(1/3)b^(1/6)

Step-by-step explanation:

You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

The given expression simplifies to ...

  [tex](a^{2/3}b^{1/3})^{1/2}=a^{(2/3)(1/2)}b^{(1/3)(1/2)}=\boxed{a^{1/3}b^{1/6}}[/tex]

2.9% of the people in Antonie's middle school have an extra rib

Ribs are curved bones that are located in the chest, they help to protect the delicate organs in that part of the body.

About 2 in every 400 people have an extra rib

There are 580 people in Antoine's middle school

The number of people with an extra rib cage can be calculated as follows

= 580 × 2/400

= 1160/400

= 2.9

Hence 2.9% people have an extra rib cage.

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The intersection is the set of all elements in both sets, so the answer is {-2, 4, 8}.

The union is the set of all elements in at least one of the sets, so the answer is {-2, 0, 3, 4, 5, 6, 8}.

Answer:

Step-by-step explanation:

83.9

Slopes vs. gradients vs. % grades

Slope

Angle (degrees) Gradient Grade (%)

40 1 83.9

41 1 86.9

42 1 90.0

Z-score of 10 is -1.25; Z-score of 20 is 1.25; Z-score of 12 is -0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

To calculate this, we use the following notations and formulas:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of obsrvations = 5

x = each observation

We now proceed as follows:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

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Answer:

S would now only be 3 units from R instead of 6 units from R.  Move S three units to the left.

Step-by-step explanation:

The cost of a Token from the question is; $7.2

We are told that Jane and Jim spend the same amount of money today.

Now, Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token is T, the the algebraic expression formed is;

5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = $7.2

Thus, we conclude that the cost of a Token is; $7.2

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1. The number of sample size 1 jelly beans in a 2-liter jar is 645.

2. The number of sample size 2 jelly beans in a 2-liter jar is 640.

3. The number of sample size 3 jelly beans in a 2-liter jar is 637.

A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.

Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).

Total weight = 1,150g

Weight of the jar = 440g

The total weight of the jelly beans = 710g (1,150 - 440)

Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)

Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)

Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)

Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.

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Answer:

the answer is 150°

Step-by-step explanation:

because the angle is obtuse angle so obtuse angle measures between 90° and 180° so the rest choices are not correct.

Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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Value of x for the given data sin(3x-35)°-cos(x+20)°=0, where x is an acute angle is equal to 8.75°.

As given in the question,

Given data :

sin(3x-35)°-cos(x+20)° = 0     __(1)

As we know  x is an acute angle  ,

cos (90 - α)° =sinα°

⇒ sin (3x -35)° =cos (90 -(3x - 35))°

⇒ sin (3x -35)°=cos (55 -3x )° ___(2)

Substitute the value of sin (3x -35)° from (2) to (1),

cos(55 -3x)° -cos(x+20)°=0

⇒cos(55 -3x)° =cos(x+20)°

⇒55 -3x=x+20

⇒x=8.75°

Therefore, value of x for the given data sin(3x-35)°-cos(x+20)°=0, where x is an acute angle is equal to 8.75°.

The complete question is :

Given that sin(3x-35)°-cos(x+20)° =0 and x is an acute angle, find it's value.

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The probability of selecting number 4 or smaller numbers 2 / 5 .

Probability of event to happen P(E) = variety of favourable outcomes/Total variety of outcomes

We have given number from 1 to 10.

The number which are smaller than four and equal to 4 = 4

Total number of outcomes = 10

Probability = 4 /10

                 = 2 / 5

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Answer:

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is

[tex]x \in \mathbb{R}-\{0,1\}[/tex]

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

Answer:

TRUE

Step-by-step explanation:
na sa inyo na answer

Answer:

Add your questions

Step-by-step explanation:

The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = [tex]\frac{distance}{time}[/tex]

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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Answer:

Commutative property because it states that the numbers can be moved around or swapped from their position without making any difference to the answer.

Simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.

The given expression:

(10 - 3/4 × ✓16)² + (2 - 7)²

Hence,

Now let simplify the expression

(10 - 3/4 × ✓16)² + (2 - 7)²

=(10 - 3)² + (-5)²

= 7² + 5²

= 49+ 25

= 74

Therefore simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.

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Answer: Answer  2, Triangle A is dilated from the origin by a scale of 1/2 to obtain triangle B

Step-by-step explanation: