Which of the following is equivalent to 3/8

0.0025
3.75
25/100
375/1,000

Answer:

It's written as

\(8.88 \times {10}^{ - 1} \)

Hope this helps you

Answer:

8.88 * 10 ^-1

Step-by-step explanation:

.888

Move the decimal one place to the right so we have one nonzero digit to the left of the decimal

8.88

The exponent is negative since we moved the decimal to the right and the exponent is 1 since we moved one place

8.88 * 10 ^-1

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Option C. triangle 1 and triangle 3 are congruent.

By SAS Congruence Criterion.

Sides and Angles Are equal in both the triangles

Answer: triangle 1 and triangle 3

Step-by-step explanation:

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

Explanation:

1 unit along the grid represents 5 feet in real life.

A 1 unit by 1 unit square on the graph paper represents a 5*5 = 25 square foot area in real life.

This means we multiply by 25 when going from the floor plan's area to the real world area.

44*25 = 1100 square meters is the area of the room in real life when the floor plan says the area is 44 sq units.

Among all pairs of numbers whose difference is ​20, the pair whose product is smallest is -10 and 10, the minimum product is -100

The pairs of numbers whose difference is ​20

Consider the first number as x

The second number = x + 20

The product will be

P = x × (x+20)

P = \(x^2\) + 20x

The vertex will be -(b/2a)

Substitute the values in the equation

Vertex = - (20/2×1)

= -20/2

= -10

Therefore the first number = -10

The second number = -10+20

= 10

The product is = -10 × 10

= -100

Hence, among all pairs of numbers whose difference is ​20, the pair whose product is smallest is -10 and 10, the minimum product is -100

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The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

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Answer:

B. Pentagon

Step-by-step explanation:

A Pentagon is a polygon with 5 sides like this one.

Hope that helps!

The length of the side EF for the right triangle is found as 35.35 yd.

Trigonometric ratios are the ratios of a sides of a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).

The sine trigonometric equation for such an angle of 40 degrees is expressed as sin 40 degrees.

Sin 40 degrees may be calculated precisely to within 8 decimal places as 0.64278760.

In the right triangle DEF:

Apply sin function.

sinФ = perpendicular / hypotenuse

sin 40 = EF / DF

sin 40 = EF / 55

EF = 55 *sin 40°

EF = 35.35 yd

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Answer:

y<(x-2)^2

Step-by-step explanation:

To graph this inequality, we first identify the function.

This is a quadratic function y=x^2

The function is translated horizontally to the right two. (x-2)^2

It is also a dotted line, <.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

The function that models the number of flowers, F(t), is given as F(t) = cd, where c and d are constants. We need to find the values of c and d in order to write the equation for the number of flowers in the pond at time, t.

From the table, we know that when t=0, F(t) = 200. This means that:

F(0) = cd = 200

Similarly, when t=1, F(t) = 800. This means that:

F(1) = cd = 800

We can solve this system of equations for c and d by dividing the second equation by the first equation:

F(1)/F(0) = 800/200

4 = d/c

Now we can substitute the value of d/c into either equation to solve for one of the constants. Let's use the first equation:

cd = 200

c(d/c) = 200

d = 200/c

Substituting this into the equation d/c = 4, we get:

4 = d/c = (200/c) / c

4c = 200

c = 50

Now we can find the value of d using d = 200/c:

d = 200/50 = 4

Therefore, the equation for the number of flowers in the pond at time, t, is:

N(t) = cd = 50(4) = 200

So, the answer is N(t) = 200(1), which means that at any time t, the number of flowers in the pond is 200.

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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\(\displaystyle\\\\Answer:\ \\x=\frac{3}{2} \pi +2\pi \mathbb N \\\\x=\frac{2}{3}\pi +2\pi \mathbb N\\\\x=\frac{4}{3} \pi +2\pi \mathbb N\)

Step-by-step explanation:

\(\displaystyle\\sin(2x)+sin(x)+2cos(x)+1=0\\\\2sin(x)cos(x)+sin(x)+2cos(x)+1=0\\\\2sin(x)cos(x)+2cos(x)+sin(x)+1=0\\\\2cos(x)(sin(x)+1)+(sin(x)+1)=0\\\\(sin(x)+1)(2cos(x)+1)=0\\\\a)\ sin(x)+1=0\\\\sin(x)=-1\\\\x=\frac{3}{2} \pi +2\pi \mathbb N\\\\b)\ 2cos(x)+1=0\\\\2cos(x)=-1\)

Divide both parts of the equation by 2:

\(\displaystyle\\cos(x)=-\frac{1}{2} \\\\x=\frac{2}{3}\pi +2\pi \mathbb N\\\\x=\frac{4}{3} \pi +2\pi \mathbb N\)

Based on the fact that the sum of the interior angles need to be equal to 180°, the missing angle is 110°

The sum of all the interior angles need to add up to 180° which means that to find the missing angle, you should subtract the known angles from 180°.

The missing angle is:

= Total angle - Known angles

Solving for the missing angle gives:

= 180 - 21 - 49

= 180 - 70

= 110°

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Answer:

Step-by-step explanation:

Answer:

Question 1: She had $352 in her wallet

Question 2: The percent of the trout were the tiger trout is 45%

Step-by-step explanation:

Question 1:

∵ Carmen spent $88 at the mall

∵  The money she spent was 25% of the total amount she had in her wallet

→ Assume that the amount she had in her wallet is $x

∴ 25% of x = 88

→ Change 25% to decimal by divide it by 100

∵ 25% = \(\frac{25}{100}\) = 0.25

∴ 0.25 × x = 88

∴ 0.25x = 88

→ Divide both sides by 0.25 to find x

∴ \(\frac{0.25x}{0.25}=\frac{88}{0.25}\)

∴ x = 352

∵ x represents the total amount she had in her wallet

∴ She had $352 in her wallet

Question 2:

∵ Kendrick caught 22 rainbow trout and 18 tiger trout while fishing

  last month

∴ The number of rainbow trout = 22

∴ The number of tiger trout = 18

→ To find the percent of tiger trout divide its number by the total number

   of trout, then multiply the result by 100%

∵ The total number of the trout = 22 + 18 = 40

∴ The percent of the tiger trout = \(\frac{18}{40}\) × 100%

∴ The percent of the tiger trout = 45%

∴ The percent of the trout were the tiger trout is 45%

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

Answer:

yes

no

yes

no

hope this helps

Answer:

1. Yes

2. No

3.Yes

4.No

Step-by-step explanation:

I did the test and got it right!

Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

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In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

Given that;

Since a regular hexagon can be divided into six equal triangle, we will determine the area of a single triangle and then multiply the area by 6 to get the area of the regular hexagon.

Angle of one triangle in the regular hexagon = 360°/6 = 60°.

To determine the height, we divide the triangle into two equal half, making a right angled triangle with hypotenuse 4in, Base 4in/2 = 2in.

We find the perpendicular height using Pythagoras theorem

h = √( (4)² - (2)² )

h = √( 16 - 4 )

h = √( 12 )

h = √( 2² × 3 )

h = 2√3

Now, we determine the area of a single triangle.

Area = (1/2) × base × height

Area = 0.5 × 4 × 2√3

Area = (4√3)in²

Now, to get the area of the regular hexagon, we multiply the area of the triangle by 6

Area of regular hexagon = 6 × (4√3)in²

Area of regular hexagon = 24(√3)in²

Area of regular hexagon = 41.57in² ≈ 42in²

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

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Answer: b

Step-by-step explanation:

When interpreted, the figures of the delivery times of the pizza shops shows that D. The means are nearly equal, but the variation is significantly greater for the second shop than for the first.

This means that, on average, the second pizza shop delivers pizzas slightly faster than the first shop. However, the delivery times for the first shop are more consistent (less variable) than the second shop.

The standard deviation for the first shop (4 minutes) is much lower than the second shop (21 minutes), indicating that the delivery times for the first shop are clustered closely around the mean delivery time, whereas the delivery times for the second shop are more spread out. If delivery time is the only consideration, one may prefer the first shop as it has more consistent delivery times.

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Answer:

I'm not sure but I think it's 7

Step-by-step explanation:

28×2= 8x

8÷56=8x÷8

7=x

Answer:

Weather- the state of the atmosphere at a place and time as regards heat, dryness, sunshine, wind, rain, etc.

Climate- the weather conditions prevailing in an area in general or over a long period.

Random variation- The tendency for the estimated magnitude of a parameter to deviate randomly from the true magnitude of that parameter. Random variation is independent of the effects of systematic biases.

Atmosphere- the envelope of gases surrounding the earth or another planet.

Prediction- a thing predicted; a forecast.

Step-by-step explanation:

Answer:

x=2at/(1+t²)

dx/dt =[(1+t²)(2at)'-(2at)(1+t²)']/(1+t²)²

dx/dt=[(1+t²)(2a)-(2at)(2t)]/(1+t²)²

dx/dt=[2a+2at²-4at²]/(1+t²)²

dx/dt=[2a-2at²]/(1+t²)²

y=[b(1-t²)]/(1+t²)

dy/dt=[(1+t²)(b(1-t²))'-b(1-t²)(1+t²)']/(1+t²)²

dy/dt=[((1+t²)(-2bt)-b(1-t²)(2t)]/(1+t²)²

dy/dt=(-2bt-2bt³-2bt+2bt³)/(1+t²)²

dy/dt=(-4bt)/(1+t²)²

dy/dx=(dy/dt)/(dx/dt)

dy/dx=[(-4bt)/(1+t²)²]/[(2a-2at²)/(1+t²)²]

Cancelling common denominator

dy/dx=(-4bt)/(2a-2at²)

dy/dx=(-2bt)/(a-at²)

dy/dx=(2bt)/(at²-a)

Differentiating the above equation

y''=d²y/dx²=D[(2bt)/(at²-a)]

y''=[(at²-a)D(2bt)-(2bt)D(at²-a)]/(at²-a)²

y''=[(at²-a)(2b)(dt/dx)-(2bt)(2at)(dt/dx)]/(at²-a)²

dt/dx=(1+t²)²/(2a-2at²)

y''=[(at²-a)(2b)[(1+t²)²/(2a(1-t²))]-

(4abt²)[(1+t²)²/(2a-2at²)]/(at²-a)²

y''=[(-b)(1+t²)²-(2bt²)[(1+t²)²/(1-t²)]/(at²-a)²

y''=[(-b)(1+t²)²(1-t²)-(2bt²)(1+t²)²]/[(1-t²)(at²-a)²]

y''=[b(1+t²)²(t²-1)-2bt²(1+t²)²]/[(1-t²)(at²-a)²]

Step-by-step explanation:

1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player