Fiona can type 60 words a minute.
How many words can be typed in 10.5 minutes?

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

Step-by-step explanation:

3/5 - 1/3 = 4 /15

5/6 - 2/3 = 5/6 - 4/6 = 1/6

7/9 - 2/3 = 7/9 - 6/9 = 1/9

5/8 - 1/6 = (15 - 4) /24 = 11/24

(All the above ones I have taken common factor and subtracted them)

5 x 9/10 = 45/10 = 9/2 (simplified)

2/7 x 3 = 6/7

3 x 2/15 = 6/15

4x 2/6 = 8/6 = 4/3 (simplified form)

Hope this helps!!!

Step-by-step explanation:

due to the principle of identical angles in parallel lines when intercepted by an inclined line,

y = 49°

the angles above an intersected line are the same as below that intersected line (just mirrored left-right).

and at the bottom, the angles an insecticide line has with one line must be the same as with another line that is parallel to the first line.

so, both indicated angles are the same as the original angle on the top : 49°

Answer:

They studied for a little more than an hour?

Step-by-step explanation:

7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins

which is a little more than an hour, 15 mins more to be precise.

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

Answer:

First blank: The same axis of symmetry

Second blank: Greater than

Third blank: Less than

Step-by-step explanation:

PLATO

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The inequality in a standard form that represents the given statement will be equal to 8x + 3y ≥ 120.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data available in the question,

The maximum duration of the recital is 120 minutes.

Time for group dance = 8 minutes.

Time for solo dance = 3 minutes.

Then, the inequality will be,

8x + 3y ≥ 120

Here, x is the number of group dances on the program, and y is the number of solo dances on the program.

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Answer:

Diverge

Step-by-step explanation:

5 + 20 + 80 + 320 + .....

   [tex]\sf Common \ ratio = \dfrac{second \ term}{first \ term}\\[/tex]

        [tex]\sf r = \dfrac{20}{5}\\\\ r = 4[/tex]

Answer:

9 units

Step-by-step explanation:

In the points S and T, the y- co ordinate are unchanged. So, the line joining S and T are parallel to x -axis.

So, the distance will be the sum of obsolute value of the x- coordinates.

 Distance = I 7I + I - 2I

                 = 7 + 2

                 = 9 units

Answer:

(2, 3)

Step-by-step explanation:

The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.

Answer:

(x,y) = (2,3) so C?

Step-by-step explanation:

=> y = x/2+2

=> y = x + 1

from that info, you can tell y = y, meaning x/2 + 2 = x+1

solving:

=> x/2 + 2 = x + 1

=> 1/2x +2 = x + 1

=> -x             -x

=> - 1/2x + 2 = 1

=> -2                -2

=> -1/2x = -1

=> * 2/-1   * 2/-1

=> x = 2

solve using substitution now:

(let's plug it in to the easiest y = statement)

=> y = x+1

=> y = 2 +1

=> y = 3

(2,3) is your answer

Answer:

1/10

Step-by-step explanation:

1/2 - 2/5

common denominator is 10 (2x5)

5/10 - 4/10 = 1/10

Answer:

24.3

Step-by-step explanation:

We need to follow the order of operations PEMDAS:

Carry out the operation in the parentheses first:

   3³ + 14.7 ÷ 7 - (1.2 × 4)

⇒ 3³ + 14.7 ÷ 7 - 4.8

Now the exponent:

⇒ 3³ + 14.7 ÷ 7 - 4.8

⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8

⇒ 27 + 14.7 ÷ 7 - 4.8

Now, the division (there is no multiplication):

⇒ 27 + 14.7 ÷ 7 - 4.8

⇒ 27 + 2.1 - 4.8

Finally, carry out the addition and subtraction (from left to right)

⇒ 27 + 2.1 - 4.8

⇒ 29.1 - 4.8

⇒ 24.3

Answer:  2/6

Step-by-step explanation:

Probability is nothing but the

number of favourable outcomes / number of total outcomes

Answer:

11 °C

Step-by-step explanation:

= 6 - (-5)

= 6 + 5

= 11 °C

Hope it helps you in your learning process.

Answer:

The temperature has fallen by 11° C.

Step-by-step explanation:

6° C - (-5° C) = 11° C.

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.

f(x)=7x-2xlnx

When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.

When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.

f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).

In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

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Answer:

It would be 3.5

Step-by-step explanation:
1+1+2+6+4+3+2

so the mean is 3.5

Answer:

Yes

Step-by-step explanation:

BEST ANSWER :

CIRCLE

solve for area

A = 113.1 cm^2

d diameter = 12 cm.

Answer:

Area of circle = π r^2

Step-by-step explanation:

Diameter = 12
Radius = 12/2
           = 6
Area =  π  x 6^2
        =  π  x 36
        = 113.04

therefore the area of the circle is 113.04

The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The area of the circular mouse pad = 48 square inches

The area of the circle:

[tex]\rm A = \pi r^2[/tex]

[tex]\rm 48 = \pi (r)^2[/tex]

Take π = 3.14

r = 3.909 inches ≈ 3.91 inches

Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

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The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

From the question, we are to determine the value of log b to the nearest hundredth

From the given information

[tex]log_{5}b = log_{9}48[/tex]

But,

[tex]log_{9}48 =1.76186[/tex]

∴ [tex]log_{5}b =1.76186[/tex]

By one of the laws of logarithm

∴ [tex]b =5^{1.76186}[/tex]

b = 17.0407

Then,

log b = log(17.0407)

= 1.2315

∴ log b ≅ 1.23

Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

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Answer:

The answer is 1.23

Step-by-step explanation:

Trust me I took the edge quiz 2022

The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

As we know, the area of the circle is given by:

A = πr²

r = 21 in

A = 3.14(21)² = 1384.74 square in

Area of the triangle:

a = (39)(20)/2 = 390 square in

The area of the shaded region = 1384.74 - 390 = 994.74 square in

Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

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The red kite has a maximum altitude 23.11 feet higher than the black kite.

An equation is an expression that shows the relationship between two or more variables and numbers.

1 feet = 0.3048 meters, hence:

117.46 m =  117.46 m * 1 ft per 0.3048 meter = 385.37 feet

Difference in height = 385.37 feet - 362.26 feet = 23.11 feet

The red kite has a maximum altitude 23.11 feet higher than the black kite.

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Answer:

X + 3

Step-by-step explanation:

There is no definite working. The first container is what I call the base because everything is a little above the first container, X. They are basically asking you what is the total of the four jars bigger than X. In other words how many steps more to climb before the top floor while you are on the first step. So then you add the other numbers like 0.5 etc which will give you X +3. Hope it helps.

Answer:

please what is the correct question

Answer: its the last one

Step-by-step explanation:

Answer:

hope it's helpfull...... ;)

Answer:

Step-by-step explanation:

Finding the x-intercepts :

Finding the vertex :

Finding the y-intercept :

In order to find x-intercept, the f(x) or y will be 0

=================

(x-4)(x + 2) = 0

(x-4) = 0, (x + 2) = 0

x = 4, x = -2

x intercepts: (4, 0) and (-2, 0)

In order to find vertex use the formula: x = -b/2a

y = (x-4)(x + 2)

y = x² -4x + 2x -8

y = x² - 2x -8

Now find x-coordinate of vertex:

x = -(-2)/2(1)

x = 2/2

x = 1

y coordinates: (1-4)(1 + 2) =  -9

Ordered pair of vertex: (1, -9)

In order to find y intercept, insert x = 0

y = (0-4)(0 + 2)

y = -8

y intercept: (0, -8)