How many miles can i walk in 110 minutes if i walk 3 miles in 70 minutes?

Answer:

A

Step-by-step explanation:

perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

Answer:

D. y=-6x+3

Step-by-step explanation:

the equations have the same slope of -6 which makes them perpendicular

Answer:

\(44.5 + g = 50 \\ g = 50 - 44.5 \\ g = 5.5\)

Answer:

y = -2x + 7

Step-by-step explanation:

Given: (0, 7) and (2, 3)

Using the slope-intercept formula: y2-y1/x2-x1

3-7/2-0 = -4/2 = -2

Y-intercept:

Use y= mx + b to find the y-intercept (b). For this, I will be using the coordinates (2, 3). Plug 2 into x and 3 into y, then solve.

3 = -2(2) + b

3 = -4 + b

7 = b

Form the equation together:

y = -2x + 7

None of the given sets determines more than one triangle as the sum of their degrees do not proceed 180°.

1) 50°, 60° and 70°

we know that the measure of each triangle is 180°,

therefore, we need to find the sum of these angles:

50 + 60 + 70 = 180°

therefore, we can say that only one triangle can be formed.

2) 15°, 60° and 15°

again we have to find the sum of these angles:

15 + 15 + 60 = 90°

since to form a triangle, we need to have a sum of 180° of the angles, we can form a triangle with 15°, 60° and 15°

3) 70ft, 35ft and 10ft

we can form a triangle with 70ft, 35ft and 10ft as they lengths and not degrees.

4) 80m, 65m and 20m  

we can form a triangle with 80m, 65m and 20m as they lengths and not degrees.

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Answer:

x = -4

Step-by-step explanation:

6x + 29 = 5

     +29      -29

------------------------

6x = -24

÷6      ÷6

---------------

x = -4

6(-4) = -24 + 29 = 5

Answer:

Step-by-step explanation:

find the gradient of given equation:

3y+4x=12

3y= -4x+12

y= -4/3x+4

gradient= -4/3

perpendicular gradient:

m1xm2=-1

-4/3m2=-1

-4m2=-3

m2= 3/4

find y-intercept by inputting coordinates in y=mx+c

5=3/4(3)+c

5=9/4+c

5-9/4=c

c= - 11/4

equation:

y=3/4x-11/4

Step 1: Simplify both sides of the equation.

Step 2: Subtract 1/3x from both sides.

Step 3: Add 7 to both sides.

Step 4: Multiply both sides by 6.

Answer:

x=18

Answer:

43,5311

Step-by-step explanation:

Cos A= 6²+10²-7²/2×6×10

this is the cosin theorem in triangle

Answer:

3m^3/8 + 3

Step-by-step explanation:

It can't be solved but that's the most simplified version.

Answer:

15/8m^3

Step-by-step explanation:

7/8m^3+2/2m^3

7/8m^3+1/m^3

=15/8m^3

z-test will help you analyze the sample mean and make inferences about the population mean.

The normal population and a large sample with a known standard deviation, the appropriate statistical test to use would be the z-test.

The z-test is a hypothesis test that is used to determine whether the sample mean is significantly different from the population mean.

It is a parametric test that assumes the sample is normally distributed and the population standard deviation is known.
To perform a z-test, you would first calculate the z-score by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.

You would then consult a z-table or use a statistical software package to determine the p-value associated with the z-score. If the p-value is less than the level of significance (usually 0.05), you would reject the null hypothesis and conclude that the sample mean is significantly different from the population mean.
The z-test is a powerful tool for hypothesis testing, particularly when dealing with large samples and known population standard deviation.

It allows researchers to make inferences about a population based on a sample, providing valuable insights into the behavior of the larger population.

However, it is important to ensure that the assumptions of the test are met before using it, as violating these assumptions can lead to inaccurate results.

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Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = \(\sqrt[3]{x-1} + 4\) Is f⁻¹(x) =  (x - 4)³ + 1.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = \(\sqrt[3]{x-1} + 4\)

y =  \(\sqrt[3]{x-1} + 4\)

Calculate the inverse of the function as shown below,

Replace x with y,

x = \(\sqrt[3]{y-1} + 4\)

x - 4 = \(\sqrt[3]{y- 1}\)

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

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a) Venn diagram to represent the information is attached

b) Number of elements belonging to exactly two of the three sets A, B, C are 7

What is Venn diagram?

A Venn diagram is a picture that employs circles to represent relationships between objects or limited groupings of objects. While circles that do not overlap do not have these characteristics, circles that overlap do. Venn diagrams make it easier to visualise the connections and discrepancies between two ideas.

b) Let A = set of persons who got medals in dance.

B = set of persons who got medals in dramatics.

C = set of persons who got medals in music.

Let X=number of elements belonging to exactly two of the three sets A, B, C

Given,

n(A) = 36

n(B) =  18

n(C) =  12

n(A ∪ B ∪ C) = 45

n(A ∩ B ∩ C) = 4

We know that

X= n(A ∩ B) + n(B ∩ C) + n(A ∩ C) - 3n(A ∩ B ∩ C)

X= n(A ∩ B) + n(B ∩ C) + n(A ∩ C) - 3 × 4

n(A ∩ B) + n(B ∩ C) + n(A ∩ C)=X+18    -------------(1)

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(A ∩ C) + n(A ∩ B ∩ C)

Therefore, n(A ∩ B) + n(B ∩ C) + n(A ∩ C) = n(A) + n(B) + n(C) + n(A ∩ B ∩ C) - n(A ∪ B ∪ C)

put the value From (i) X+18 = n(A) + n(B) + n(C) + n(A ∩ B ∩ C) - n(A ∪ B ∪ C)

X= n(A) + n(B) + n(C) + n(A ∩ B ∩ C) - n(A ∪ B ∪ C) - 18

X= 36 + 18 + 12 + 4 - 45 - 18

X= 7

X= 7(answer)

Thus Number of elements belonging to exactly two of the three sets A, B, C are 7..

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Answer:

77 is 35% of:  220

Step-by-step explanation:

Answer:  70

Step-by-step explanation:

easy addition

Answer:

2/3 < 1 3/4

Step-by-step explanation:

2/3 is less than 1 3/4

2/3 as a decimal is 0.6666667

1 3/4 as a decimal is 1.75

So, 1.75 is more than 0.6666667

The equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,

\(I=\dfrac{k}{w}\)

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

\(A=a\times b\)

Here, (a)is the length of rectangle and (b) is the width of the rectangle.

A rectangle with constant area has possible lengths and widths as shown in the table below.

Width vs. Length of a rectangle

In the above table, the length of a rectangle is decreasing with increasing the width of a rectangle.

For such relation, the value of w should be inversely proportional to the length of it. The first option given as,

\(I=\dfrac{k}{w}\)

Here l is the length, w is the width, and k is a constant (w not-equals 0).

In this expression, the length of the rectangle is inversely proportional to the width of the rectangle.

Thus, the equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,

\(I=\dfrac{k}{w}\)

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Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For Khan the answer is B

The train travel 375 km in 3 hours is true statement as per the graph. Option b is correct.

The graph shows the proportional relationship between the distance a train travels and the amount of time it spends traveling.

proportionality is used to show the degree of dependency.

From observation,
Only option b with train travel 375 km in 3 hours, shows the relation between distance travel by train and time.

Thus, the train travel 375 km in 3 hours is true statement as per the graph.

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Answer:

C) Explain how the equations are equal and just prove it with a check or just plug in a number like for ex: x=1 and I checked with both and it equals out.

d) Use inverse operations (or you can say do the order of operations in reverse and then use invers operations), provide an example if you think what you said doesn’t make sense, like for

Ex: 2x-1=43+5x

     2x=44+5x (add the -1)

     -3x=44  (subtract 5x to both sides)

       X=44/-3 (isolate the variable by dividing 3 on both sides)

An example is always better

E) Just use inverse operations and solve it like what you would normally do

I hope I helped

Answer:

The length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.

Step-by-step explanation:

We can use the ratio of the heights to the lengths of the shadows to find the length of the shadow of a 6ft tall man. Here are the steps:

Write the ratio of the height to the length of Cindy's shadow:

5/6

Set up a proportion with the ratio of the height to the length of the shadow for the 6ft tall man:

5/6 = 6/x

Cross-multiply to solve for x:

5x = 36

Divide both sides by 5:

x = 7.2

Therefore, the length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.

Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]

$1075 is the total cost of the dinners she served if she earned $275 on Friday

percentage, a relative value indicating hundredth parts of any quantity.

Given that Lisa  earns a daily wage of $60,

Tips that are equal to 20% of the total cost of the dinners she serves

We can write this as 60+20/100x.

The total cost of the dinners she served if she earned $275 on Friday

is given by

275=60+0.2x

Subtract 60 on both sides

275-60=0.2x

215=0.2x

Divide both sides by 0.2

215/0.2=x

1075=x

Hence, $1075 is the total cost of the dinners she served if she earned $275 on Friday

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Answer:

1

Step-by-step explanation:

Any number to the power of 0 is always 1

Hope this helps and pls do mark me brainliest:)

Answer:

65

Step-by-step explanation:

(h + g)(x)

= h(x) + g(x)

= 2x - 4 + x³ - 3

= x³ + 2x - 7

Then

(h + g)(4)

= 4³ + 2(4) - 7

= 64 + 8 - 7

= 72 - 7

= 65

Answer:

166.6666 metres/second

Step-by-step explanation:

1 km/hr = 5m/18s

600*5/18

Answer:

1,2,4, & 5

Step-by-step explanation:

Got it right on Edge 2021

Answer:

A, B, D, and E

Step-by-step explanation:

Edge 2021

Based on the capital amount, the period of compounding, and the interest rate, the final value of the capital is $27,185.21.

First find the periodic rate:

= 24% / 12 months

= 2% per month

The number of periods is:

= 15 months + 15 days

= 15 + 15/30 days in a month

= 15.5 months

The final value is:

= Amount x (1 + rate) ^ number of periods

= 20,000 x ( 1 + 2%)¹⁵.⁵

= $27,185.21

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Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

Marco would spend $13.50 on 3 bags of dog food.

What is basic arithmetic operations?

Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.

To find the cost of 3 bags of dog food, we can first find the cost of one bag of dog food by dividing the cost of 5 bags by 5. That is, $22.50 ÷ 5 = $4.50. So, one bag of dog food costs $4.50.

To find the cost of 3 bags, we can multiply the cost of one bag by 3. That is, $4.50 × 3 = $13.50.

Hence, Marco would spend $13.50 on 3 bags of dog food.

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9514 1404 393

Answer:

  2675.08 kg/m³

Step-by-step explanation:

  \(\dfrac{167\text{ lb}}{\text{ft}^3}\times\dfrac{0.45359237\text{ kg}}{1\text{ lb}}\times\left(\dfrac{1\text{ ft}}{0.3048\text{ m}}\right)^3\approx\boxed{2675.08\text{ kg/m$^3$}}\)

Answer:

The expressions x+x+x+1+1+1 and 3(x+1) are equivalent.

The volume of a sphere whose diameter is 18 centimeters is 972π cubic centimeters. If its diameter were reduced by half, its volume would be 1/8 of its original volume. So, correct options are D for both blanks.

The diameter of a sphere is 18 cm, so its radius is half of the diameter, which is 9 cm. The formula for the volume of a sphere is (4/3)πr³, where r is the radius of the sphere.

Using this formula, we can calculate the volume of the sphere as follows:

V = (4/3)π(9³)

V = (4/3)π(729)

V = 972π cubic cm

Therefore, the volume of the sphere is 972π cubic cm.

Now, if the diameter of the sphere is reduced by half, the new diameter would be 9 cm, which means the new radius would be half of 9 cm, which is 4.5 cm. Using the same formula for the volume of a sphere, we can calculate the new volume of the sphere as follows:

V' = (4/3)π(4.5³)

V' = (4/3)π(91.125)

V' = 121.5π cubic cm

To find the ratio of the new volume to the original volume, we can divide the new volume by the original volume:

V'/V = (121.5π) / (972π) = 1/8

Therefore, the answer to the first part of the question is option (d) 972π cubic cm, and the answer to the second part of the question is option (d) 1/8.

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