- A tennis ball weighs about 56.7 grams. If there are approximately 28.3 grams in 1 ounce,
about how many ounces would a dozen tennis balls weigh?
Round to the hundredths place.

Undefined

Order of matrix Q is 4 by 3

whereas order of R is 4by 4

In order to add two matrices , they should be of same order.

Answer:

DOES NOT EXIST.

Step-by-step explanation:

The sum of two matrices exists only if the matrices are of the same order.

Here Q is 3x3 and R is 4x4, so they do not have the same order, hence the sum DOES NOT EXIST.

The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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For a system of equations with a horizontal and a vertical line the true statement is:

"Yes, because both equations only have 1 variable and the variables are different."

Let's write a general system of linear equations as:

y = a*x + b

y = c*x + d

To use substitution, we need to isolate one variable in one of the equations and then replace that in the other equation. In this particular case "y" is already isolated in both equations so the replacement is trivial:

Replacing the first equation in the second one we get:

(a*x + b) = a*x + c

Now, if one line is vertical that line is written as:

x = a

And the horizontal line is written as:

y = b

So the system is:

x = a

y = b

Notice that we have one variable in each equation, then we can't use substitution, then the correct option is:

"Yes, because both equations only have 1 variable and the variables are different."

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Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

Answer:

If you choose for C you'll get the wright answer,

This is because V26 is more towards V25. This has the outcome of a little bit more than the squarerooth of 25, if you have V34 it is more towards V36 which is 6. Since V30 is in between them it is the right answer +- 5.48 as an outcome

Step-by-step explanation:

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer: B. y+7=5x

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Slope of the line

\( = \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined\)

The domain of the reciprocal parent function is all real numbers except 0, therefore option B is correct.

For the given reciprocal function

f(x) = 1/x

The denominator x cannot be 0, because it will give an undefined value.

Therefore, the reciprocal function domain and range is the set of all real numbers excluding 0.

i.e., f(x) = 1/x where x = Real number excluding 0.

Therefore the option b is true.

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Answer: 200ft

Step-by-step explanation:

43+43+57+57=200

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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Answer:

Bachelors = $51,000

Masters = $66,000

Step-by-step explanation:

M + B = 117,000

M = 2B - 36,000

2B - 36,000 + B = 117,000

3B = 153,000

B = 51,000

M = 2(51,000) - 36,000 = 66,000

The yearly salary of a bachelor's degree and a master's degree is 51 thousand and 66 thousand dollars respectively.

To write numerical expressions from given statements use logic as what is twice of a number what is 6 times of a number and many more.

Suppose a is thrice of b means a is 3 times as big as b.It can be written as a = 3b.

According to the given question  the average yearly salary of an individual whose final degree is a masters is 36 thousand dollars less than twice that of an individual whose final degree is a bachelors.

Assuming yearly salary of a bachelor's degree is x thousand dollars.

∴ yearly salary of an individual with master's degree is

= (2x - 36) thousand dollars.

Given combining these two individual they make 117 thousand dollars.

∴ x + (2x - 36) = 117

 3x = 117 + 36

 3x = 153

   x = 153/3

   x = 51.

So, Yearly salary of an individual who has a bachelors degree is 51 thousand dollars and yearly salary of an individual who did masters is {(2×51) - 36} = 102 - 36 = 66 thousand dollars.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

Because they are isosceles triangles, the angles of their bases must be equal.

The third angle in each triangle must be 180 ° minus the two known ones.

When equating the values obtained, we have:

And how:

Because they are isosceles triangles, we obtain:

Answer:

S= 76, T= 76, U= 104, R= 104

Y=104, V= 104, X= 76, W= 76

Step-by-step explanation:

Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).

U and V are alternating angles

so U and  are 104

i d k the last one am so sorry

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

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Answer:

using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

Step-by-step explanation:

Given the expression

- 7a+49b - 35

Rewrite -35 as 5 · 7

Rewrite 49 as 7 · 7

so

= -7a + 7 · 7b - 5 · 7

as -7 is the common factor, so factoring out

= -7(a-7b+5)

Thus, using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

N 5

Remember that

The equation of the line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

we have

y=-(1/6)x+2

therefore

Using a graphing tool

see the attached figure below

Answer:

Step-by-step explanation:

5 + 7 = 12 worm

2/12 x 3/12 = 6/144 = 1/24

1/24 = 0.042

Answer:

The test value is z = -1.31.

Step-by-step explanation:

The Eagle Ridge Contractors Association claims the average price of a home in their subdivision is $125,150.

This means that the null hypothesis is that the mean is this value, that is:

\(H_0: \mu = 125150\)

The Eagle Ridge Home Owners Association is interested in knowing if the costs of homes for sale in this subdivision are actually lower than claimed.

This means that at the alternate hypotehsis we test that the mean is lower than that value, that is:

\(H_a: \mu < 125150\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

125150 is tested at the null hypothesis:

This means that \(\mu = 125150\)

Standard deviation of $7,350.

This means that \(\sigma = 7350\)

A sample of 36 homes for sale in this subdivision had an average selling price of $123,550.

This means that \(n = 36, X = 123550\)

Compute the test value.

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{123550 - 125150}{\frac{7350}{\sqrt{36}}}\)

\(z = -1.31\)

The test value is z = -1.31.

The monthly income of the first person is $600.

Given that, the average monthly income of three persons is RS 3,600.

The income of the first is 1/5 of the combined income of the other two.

Here, Let income of the first be A, let income of the second be B and let Income of the third be C.

A+B+C=3600 -----(i)

Income for the first person = 1/5(B+C) -----(ii)

Substitute equation (ii) in equation (i), we get

(B+C)/5 +B+C =3600

B+C+5B+5C=3600×5

6B+6C=18000

6(B+C)=18000

B+C=3000 ------(iii)

Substitute (iii) in equation (i), we get

A=$600

Therefore, the monthly income of the first person is $600.

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Answer:

333.3 years

Step-by-step explanation:

The formula

Condition

Solving

The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5  ...(1)

0.2x + 0.5y = 105  ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

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Answer:

n=11 is the answer.

Step-by-step explanation:

19+n=30

In order to find the value of n subtracting 19 on both sides

19-19+n=30-19

n=11 is your answer

Hope it will help you :)

The length of each side of a regular pentagon

a)6.4cm

b) 32cm

a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.

b) A pentagon has 5 sides.

The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.

Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).

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Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126