Deepak can type 2000 words in minutes. How many words Can he type in 37 minutes ​

Answer:

Jayden is running faster

Answer:

$40.60

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

46/40, or 1 3/20

Step-by-step explanation:

\( \frac{13}{20} + \frac{20}{40} \)

the sum of the two fractions.

first find the LCM of the two denominators and rename the fractions with a common denominator atlast, add and simplify.

\( \frac{(13 \times 40) + (20 \times 20)}{20 \times 40} \)

\( = \frac{520 + 400}{800} \)

\( = \frac{920}{800} \)

Reduce by dividing both the numerator and denominator by the Greatest Common Factor which is 40.

\( \frac{920 \div 40}{800 \div 40} = \frac{23}{20} \)

\( = 1 \frac{3}{20} \)

Answer:

68

Step-by-step explanation:

There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.

17 / 25 = 17*4 / 100

17 * 4 =  68

Answer 68%

Step-by-step explanation:

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

Answer:

15450

Step-by-step explanation:

Consider that the initial hear rate of 160 is a constant. Due to after each minute the hear rate decreases 12 beats, the slope of the line which describes the function is negative.

If y is hear rate and x the time in minutes, you can write:

the previous function describes the hear rate of Emilie after x minutes.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68

Answer:

  17%

Step-by-step explanation:

Timothy's total cost is ...

  $150 +6 · $72.50 = $585

The ratio of this price to the original is ...

  $585/$500 = 1.17 = 1 +17%

The percentage increase from the original cost is 17%.

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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\(\bold{\huge{\underline{ Answer }}}\)

Here , We have to create a real life problem which is based on the similar traingle.

There are three conditions that proves the given triangles are similar :-

Suppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .

Let consider both the apple trees as tree 1 and tree 2

By using similarity theorem

That is,

\(\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}\)

\(\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}\)

From above we can conclude that,

Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.

The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.

Let consider both the Orange trees as tree 1 and tree 2

If we have:-

Height of the tree 1 = 20 m

Height of the tree 2 = 40 m

The shadow casted by Tree 1 = 12 m

The shadow casted by tree 2 = 24 m

The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m

By using triangle similarity theorem, we have;

20/40 = 12/24 = 30/60 = 1/2

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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Answer:

B, C, E - correct

try 13 pairs of flippers

It’s in between 10 and 15

Answer:

3x¹²

Step-by-step explanation:

1. Rule (x) = x

2. (x¹²) = x¹²

3. x¹²*3

4. 3x¹²

A) the limit of the difference quotient at x0 = 3 for f(x) is  lim(h → 0) (f(3+h) - f(3) )/h = 3² + 3(3) - 6 = 12

B) the expression of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit you found in part is y = 12x - 29.

C) See graph attached.

Part A ) The difference quotient of a function f(x) at x0 is given by:

(f(x0+h) - f(x0)) /h

To calculate the limit of the difference quotient at x0 = 3 for f(x) we need to find the limit of the above expression as h approaches 0.

f(x) = x³ - 4x² + 2

(f(3+h) - f(3))/h

= ( (3+h)³ - 4(3+h)² + 2 - (3³ - 4(3)² + 2) )/h

 = (27 + 27h +   9h² + h³ - 4(9 + 6h + h²) + 2 - 19)/h

= (h³ + 3h² - 6h)/h

= h² + 3h - 6

Therefore, the limit of the difference quotient at x0 = 3 for f(x) is:

lim(h → 0) (f(3+h) - f(3))/h

= 3² + 3(3) - 6 = 12

Part B)  To find the equation of a line passing through the point (3, f(3)) with a slope equal to the limit found in part A, we can use the point-slope form of the equation of a line...

y - y1 = m (x - x1)

where m is the slope and (x1, y 1) is the given point.

Substituting the values

y - f(3) = 12(x - 3)

Expanding and simplifying

y = 12x - 29

so this means that the equation of the line passing through the point (3, f(3)) with a slope equal to the limit found in part A is y = 12x - 29.


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Full Question:

Part A

Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).

Part B

Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit you found in part A.

Part C

Graph the function f(x) and the line you identified in part B. How do the graphs relate to each other? What does the slope of the line represent about the function at the given point?

A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.

B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.

It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.

A. By evaluation; using the Distributive property; we have;

3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.

Also; 5(m - 2) = 5m - 10.

Therefore, the two expressions are equivalent.

B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.

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Answer:

Step-by-step explanation:

Combine like terms.Like terms have same variable with same exponent

4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x  - 7 + 9

                                                  = 7x³ -5x² + x + 2

Answer:

3 white to 5 yellow

the third choice

Step-by-step explanation:

white     9 parts

yellow   15 parts

9 white to 15 yellow

Divide by 3

3 white to 5 yellow

The given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

What is expression ?

In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. It can be a simple expression consisting of only one number or variable, or a complex expression consisting of several numbers, variables, and operations.

We can use the distributive property of multiplication to expand the given expression as follows:

(5−4i)(3−2i)(5−4i)(3−2i)

= (5−4i)(5−4i)(3−2i)(3−2i)

= (25 - 40i + 16i²)(9 - 12i + 4i²)

= (25 - 40i - 16)(9 - 12i - 4)

= (-231 + 372i)

Therefore, the given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.

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Answer:

h(6) = 7

Step-by-step explanation:

Given that,

→ x = 6

Then the value of h(6) will be,

→ h(x) = 2x - 5

→ h(6) = 2(6) - 5

→ h(6) = 12 - 5

→ [ h(6) = 7 ]

Hence, the answer is 7.

Answer:

Step-by-step explanation: