On Monday, Kevin spent 4/5 of an hour working on his homework, on Tuesday he spent 2/3 of an hour on his homework and on Wednesday he finished his homework in 7/10 of an hour. How long did Kevin spend doing homework on Monday, Tuesday, and Wednesday in all?

Answer:

7)  28 is 40% of 70

13)  200 seats

16) 45% = 54/120

18) ?

19) 20 papers

Most of these are on brainly so I tried to double-check but if I'm wrong I'm sorry :)                        okay I think I'm very wrong

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

The period T (in seconds) of a pendulum is given by T=2\pi \sqrt((L)/(32)), where L stands for the length (in feet) of the pendulum. If \pi =3.14, and the period is 1.57 seconds

Step-by-step explanation:

i am smart

The length of the pendulum is 128 feet.

Time period of a pendulum is defined as the time taken by the pendulum for completing one oscillation.

Here,

Given that,

Time period of the pendulum,

T = 2\(\pi\) √(L/32)   where L is the length of the pendulum(in feet)

T² = 4\(\pi\)²(L/32)

T²/4\(\pi\)² = L/32

So, L = 32 xT²/(4\(\pi\)²)

L = 8T²/\(\pi\)²

So, putting the value of time period, T = 12.56 s

Length of the pendulum,

L = 8T²/\(\pi\)²

L = 128 feet

Hence,

Length of the pendulum is 128 feet.

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Your question was incomplete, but most probably will be:

The period T (in seconds) of a pendulum is given by T=2\pi \sqrt((L)/(32)), where L stands for the length (in feet) of the pendulum. If \pi =3.14, and the period is 12.56 seconds, what is the length?

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\) and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 \(\rm cm^3/hr\).

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

\(\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}\)        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

\(V = \pi r^2 h\)

Step 3 - Differentiate the above expression with respect to 'r'.

\(\dfrac{dV}{dr} = 2\pi r h\)          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

\(\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}\)

\(\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\\)

\(\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}\)

So, the rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\).

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Answer:

Ok to find square root you need to find something times itself to get that number and since that is a negative it is a negative number x itself ONCE

I tried my best so put -150 in a calculator divide it by 2 and you shall get the square root of -150

Step-by-step explanation:

Answer:

49b^10 -16b^2

Step-by-step explanation:

(7b^5)^2 -(4b)^2=

49b^10 - (4b)^2=

49b^10 - 16b^2

The given expression is equivalent to 49b¹⁰ - 16b².

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

(7b⁵ - 4b) (7b⁵ + 4b)

We have to expand this.

(7b⁵ - 4b) (7b⁵ + 4b) = (7b⁵ × 7b⁵) - (4b × 7b⁵) + (4b × 7b⁵) - (4b × 4b)

                                = 49b¹⁰ - 28b⁶ + 28b⁶ - 16b²

                                = 49b¹⁰ - 16b²

Hence the given expression is equivalent to 49b¹⁰ - 16b².

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The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

a. The distance is 0.829 meters.

b. The distance is 1.86735 meters.

c. The times the child's bicycle tire must rotate to travel 1 kilometer is 26.53 times

d. The number of rotation is 12.589.

a. Given that the radius of the child's bicycle tire is 6 inches, we can substitute the values into the formula:

Circumference = 2 * π * 6 inches

To convert inches to meters, we use the conversion factor: 1 inch = 0.022 meters

Distance = 2 * π * 6 inches * 0.022 meters/inch

= 0.829 meters.

b. Similarly, for the woman's ten-speed bicycle with 13.5-inch radius:

Distance = 2 * π * 13.5 inches * 0.022 meters/inch

=  1.86735 meters.

c. To calculate how many times the child's bicycle tire must rotate to travel 1 kilometer, we need to convert 1 kilometer to inches and then divide it by the circumference of the tire.

1 kilometer = 1000 meters

1 meter = 1/0.022 inches

So, 1 kilometer = 1000 * (1/0.022) inches

Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 6 inches)

=  26.53

d. Similarly, for the woman's bicycle tire:

Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 13.5 inches)

=  12.589.

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The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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A poll of 1556 registered voters nationwide indicated that 43% of those polled blamed oil companies the most for the recent increase in gasoline prices. Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

To determine whether this poll result supports the claim that at least 45% of registered voters blame oil companies the most for the recent increase in gasoline prices, we test the null hypothesis against the alternative hypothesis.

Test the claim that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45% using alpha = 0.01. Test statistic z = -1.59. P-Value = 0.94.

Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

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Answer:

is that an exponent?

Step-by-step explanation:

It would take 3 hours for both trains traveling to be 405 km apart

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

Let us assume that both trains travel for t hours before they are 405 km apart.

A train travels north at 75 km/h

Distance = Speed * time

Distance = 75 * t = 75t

Another train travels south at 60 km/h

Distance = Speed * time

Distance = 60 * t = 60t

They are 405 km apart, hence:

75t + 60t = 405

135t = 405

t = 3 hours

It would take 3 hours

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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The largest size of a team according to the task content is; 20 kids.

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

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Step-by-step explanation:

The function is:

\(f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1\)

Answer:

3. 73

4. 1500

Step-by-step explanation:

3. 7*9 = 63, 2*5 = 10, 63+10 = 73

4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500

Step-by-step explanation:

given

\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)

also given

\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)

therefore

\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19

Answer:

1/2

Step-by-step explanation:

The chance of getting a odd number is 1 in 2 chances because a die has 6 sides and there are 3 even numbers and 3 odd numbers so the ratio is 1:2

The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

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Answer:

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

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\(\frac{1}{3x}\))

*rewrite to solve for x :

10⁰ = \(\frac{1}{3x}\)

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

1 · x = \(\frac{1}{3x}\) · x

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

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

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

Answer:

Step-by-step explanation:

yes

Answer:

No it cannot.

Step-by-step explanation:

It requires certain relationships between the lengths of the sides of a triangle. One cannot simply take three random line segments and form a triangle. The line segments have to satisfy the triangle inequality theorems. Other theorems that define relationships between the sides of a triangle are the Pythagorean theorem and the law of cosines.

\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)

Answer:

$60 in total

Step-by-step explanation:

You find the amount to give for the tip first:

An easy way of doing percent's is getting 10% of a number. 10% of $50.00 you simply move the decimal to the left one time.

You would end up with $5.00 being 10% of $50.00.

Since you want 20% of $50.00 you would just simply multiply $5.00 (10% of $50.00) by 2. (2 * 10% = 20%).

This gives you $10.00.

By knowing 20% of $50.00 is $10.00 you then want to find the grand total you would have to spend in all so you add $10 to the $50 bill giving you a total of $60.00.

Answer:

60.00

Step-by-step explanation:

so you're doing 50.00 plus another 20% since you/re tipping the waiter which gives you a total of 60.00

Answer:

you didn't say which process to use while solving so I have used graphical method but I hove it's useful