1 point
Match the inequality symbol with its definition:
VI
Less than or equal to
Less than
Greater than or equal to
Greater than

Answer:

77 degrees

Step-by-step explanation:

The angles of a triangle must add up to 180 degrees

61+42=103

180-103=77

Answer:

77

Step-by-step explanation:

I always add up the other two and since the total degrees of a triangle has to add up to 180 I subtract the sum so

61+42=103

180 - 103 = 77

Step-by-step explanation:

I think...

18×9=9×18

hope it helps

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Two ways to measure the relationship between the returns of two securities are correlation and covariance. That is options C and D.

Correlation can be defined as the measure of the difference between two variables in a statistical analysis.

Covariance can be defined as the measure of the relationship between two variables in statistical analysis.

Therefore, Two ways to measure the relationship between the returns of two securities are correlation and covariance.

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The volume of the solid formed by revolving the given region about the y-axis is 24540π cubic units.

To compute the volume of the solid formed by revolving the given region about the y-axis, we can use the method of cylindrical shells.

The region is bounded by y = Vo (which I assume is a constant value), y = 6, and x = 0. The length of the region is given by V = 4096 * 3.

Since the region is revolved about the y-axis, the cylindrical shells will have a height equal to the change in y-coordinate between the boundaries, which is 6 - Vo. The radius of each cylindrical shell will be equal to the x-coordinate of the region, which ranges from 0 to V/4096.

The volume of each cylindrical shell can be calculated as V_shell = 2π * radius * height. Summing up the volumes of all the shells will give us the total volume of the solid.

Let's compute the volume using the given values:

Vo = 4096

V = 4096 * 3

The height of each shell: h = 6 - Vo = 6 - 4096 = -4090

The radius of each shell: r = x = V/4096 = (4096 * 3)/4096 = 3

The volume of each shell: V_shell = 2π * r * h = 2π * 3 * (-4090) = -24540π

Since the height is negative, the volume will also be negative. However, volume cannot be negative, so we need to take the absolute value of the volume.

The absolute volume: |V_shell| = |-24540π| = 24540π

Therefore, the volume of the solid formed by revolving the given region about the y-axis is 24540π cubic units.

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Answer:

x = 12 and y = (3/2)

Step-by-step explanation:

"Y varies directly as x," can be written as:

y = mx

The connecting law is m, which relates how much y will change for a change in x.  m is given by:

m = y/x

To find m, the slope, use the two given values for x and y:

m = y/x

m = 3/4

This yields:

y = (3/4)x

Now we can find:

X when y=9:    

y = (3/4)x

9 = (3/4)x

x = (4/3)*9

x = 12

Y when x=2:  

y = (3/4)x

y = (3/4)*2

y = (3/2)

Answer:

75%, 0.75, 3/4. 3 quarters.

Step-by-step explanation:

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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The proportion cranberry juice should be mixed with 84 ounces of apple juice 1:5 that is 1 parts of cranberry juice and 5 parts of lemon juice.

According to the question,

A punch recipe calls for mixing 2 parts of cranberry juice with 5 parts of apple juice.

84/2 = 42

5*42=210

Hence, the proportion cranberry juice should be mixed with 84 ounces of apple juice 1:5 that is 1 part of cranberry juice and 5 parts of lemon juice.

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Responda:

Preço = $ 400

Explicação passo a passo:

Dado que:

Primeira opção :

Pagamento em 5 investimento igual

Segunda opçao :

Pagamento feito em 8 iguais. Investimento

O preço por parcela do primeiro investimento é 30 a mais do que cada um do segundo

Deixe o preço do telefone = p

Valor por prestação = x

Segunda parcela:

Preço = 8x

Primeiro :

Valor por parcela = x + 30

P = 5 (x + 30)

Preço = 5x + 150

Portanto, igualando as duas equações:

8x = 5x + 150

8x - 3x = 150

5x = 150

x = $ 50

Usando qualquer das equações de preço:

Preço = 8x

Preço = 8 * 50

Preço do telefone = $ 400

The correct answer is i. 33 ft

To find the height of the diving board, we need to consider the equation h(t) = -16.17t² + 13.2t + 33, where t represents the number of seconds after jumping.

The height of the diving board corresponds to the initial height when t = 0. In other words, we need to find h(0).

Plugging in t = 0 into the equation, we get:

h(0) = -16.17(0)² + 13.2(0) + 33

Since any number squared is still the same number, the first term becomes 0. The second term also becomes 0 when multiplied by 0. This leaves us with:

h(0) = 0 + 0 + 33

Simplifying further, we find that:

h(0) = 33

Therefore, the height of the diving board is 33 feet.

So, the correct answer is i. 33 ft.

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Answer:

13 / 4 ( or ) 3.25

Step-by-step explanation:

Let the number be x.

4 times a number means,

4 ( x ) = 4x

One more than 4 times a number means,

4x + 1

One more than 4 times a number is 14,

4x + 1 = 14

4x = 14 - 1

4x = 13

x = 13 / 4

( or )

x = 3.25

Therefore, the number is 13 / 4 ( or ) 3.25

According to the question the standard deviation is approximately $9,400.

Standard deviation is a measure of variability or dispersion in a data set. It is a measure of how much the individual data points within a set deviate from the mean. The standard deviation is calculated by taking the square root of the variance and is expressed as the same unit of measurement as the data set.

The standard deviation of pre-tax family incomes when the head of the household has a university degree can be computed using the empirical rule. According to the empirical rule, approximately 68% of the data lies within one standard deviation of the mean, 95% of the data lies within two standard deviations of the mean, and 99.7% of the data lies within three standard deviations of the mean.

Given that 70% of the pre-tax family incomes when the head of the household has a university degree are between $76,300 and $95,100,
we can calculate that the standard deviation is approximately ($95,100 - $76,300) / 2.66 ≈ $9,400.

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7.051 can be written as the fraction 7051/1000.

To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.

Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.

Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.

Therefore, 7.051 can be expressed as 7051/1000.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.

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Answer:

true

Step-by-step explanation:

because there's less humidity

Answer:

Step-by-step explanation:

Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.

According to the 2002-2003 national surveys conducted in America, the estimated percentage of children living in poverty was approximately 16.7%. This figure is based on data collected during that time period, and it's important to note that poverty rates can change over time.

A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers. Surveys are used to collect data or learn more in areas like demography and social research.

Survey research is frequently used to evaluate ideas, beliefs, and emotions. Surveys might have narrow, focused objectives or they can have broad, more general objectives. In addition to being utilized to satisfy the more practical requirements of the media, such as evaluating political candidates, public health officials, professional organizations, and advertising and marketing directors, surveys are frequently employed by psychologists and sociologists to evaluate behavior.

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The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

The speed of the golf ball just after impact is 44 m/s, assuming it is moving in the same direction as the club before the collision. However, without knowing the final velocities of the golf ball and the club, we cannot calculate the precise amount of kinetic energy converted to other forms during the collision.

The speed of the golf ball just after impact can be calculated using the principle of conservation of momentum. If we assume that the golf ball and the club move in the same direction before the impact, and we know the mass of each object and their respective velocities, we can determine the final velocity of the golf ball.

Initial velocity of the club, u = 44 m/s (in the same direction)

Mass of the golf ball, m1 = 2.40 × 10^4 kg

Mass of the club, m2 = 2.40 × 10^4 kg

Using the conservation of momentum equation:

m1u1 + m2u2 = m1v1 + m2v2

Since the club is at rest initially (u2 = 0), the equation simplifies to:

m1u1 = m1v1 + m2v2

Substituting the given values:

(2.40 × 10^4 kg)(44 m/s) = (2.40 × 10^4 kg)v1 + (2.40 × 10^4 kg)v2

Simplifying the equation further:

1056 × 10^4 kg·m/s = (2.40 × 10^4 kg)(v1 + v2)

Dividing both sides by 2.40 × 10^4 kg:

44 m/s = v1 + v2

This equation tells us that the speed of the golf ball just after impact (v1) added to the speed of the club just after impact (v2) equals 44 m/s.

Moving on to the second part of the question:

To find the amount of kinetic energy converted to other forms during the collision, we need to determine the initial and final kinetic energies and then calculate the difference.

The initial kinetic energy (KEi) of the system is given by:

KEi = 0.5m1u1^2 + 0.5m2u2^2

Since the club is at rest initially (u2 = 0), the equation simplifies to:

KEi = 0.5m1u1^2

Substituting the given values:

KEi = 0.5(2.40 × 10^4 kg)(44 m/s)^2

Calculating the initial kinetic energy:

KEi = 0.5(2.40 × 10^4 kg)(1936 m^2/s^2)

KEi = 0.5(2.40 × 10^4 kg)(1936 m^2/s^2)

KEi = 4.6784 × 10^7 J

To find the final kinetic energy (KEf), we need to know the final velocities of the golf ball (v1) and the club (v2) after the impact. However, this information is not provided in the question. Without the final velocities, we cannot determine the exact amount of kinetic energy converted to other forms during the collision.

In summary, the speed of the golf ball just after impact is 44 m/s, assuming it is moving in the same direction as the club before the collision. However, without knowing the final velocities of the golf ball and the club, we cannot calculate the precise amount of kinetic energy converted to other forms during the collision.

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traved (in the same direction) at 44 m/. Find the speed of the golf ball just after lmpact. m/s recond two and al couple togethor. The mass of each is 2.40×10 ^4 ka. m/s (b) Find the (absolute value of the) amount of kinetic energy (in ) conwerted to other forms during the collision.

The answer to the given binary operation is 10012. The binary operation of adding 1112 and 102 will be solved by converting the binary numbers to base 10, performing the addition in base 10, and then converting the result back to base 2.

Converting the binary numbers to base 10, we have 1112 = 7 and 102 = 2. Adding 7 and 2 in base 10 gives us 9. To convert the result back to base 2, we divide 9 by 2 repeatedly until the quotient becomes 0. The remainder in each division gives us the binary digits of the answer. In this case, 9 divided by 2 is 4 with a remainder of 1, and 4 divided by 2 is 2 with a remainder of 0. Therefore, the binary representation of 9 is 1001. Hence, the answer to the given binary operation is 10012.

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The rate of increase in population is 2960.

The population growth linear model is Pt=P0+rt.

Pt is the population after time t, P0 is the population at time 0, r is the average growth increment per unit time and t is the number of unit time.

P2010 =32,800

P2005 = 18,000

t=5 years

P2010=P2005+rt

(32,800)=(18,000)+r(5)

32,800=18,000+5r

32,800-32,800-5r=18,000+5r-32800-5r

-5r=-14,800

r=2960

Therefore, the rate of increase in population is 2960.

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Answer:

the first answer and the last one

The correct option is (a) two factors and three levels. The design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.).

In this research design, the factor is the time of day and it has three levels: 7 a.m., noon, and 5 p.m. The researcher is conducting an ANOVA test to measure the influence of the time of day on reaction time.

The factor is the time of day, and it has three levels: 7 a.m., noon, and 5 p.m. The ANOVA test will help determine if there are any significant differences in reaction times between these three periods throughout the day.

Therefore, the design has two factors (time of day) and three levels (7 a.m., noon, and 5 p.m.). The ANOVA test will be used to analyze the influence of the time of day on reaction time.

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We are told that the interest is compounded continuously, therefore, we use the following formula:

Where "A" is the present value, "P" the initial value, "r" the interest rate, and "t" the time:

Now we solve for "r", first by dividing both sides by "P":

Now we take natural logarithm to both sides:

Now we divide both sides by "t":

Now we replace the given values:

Solving the operations we get:

Therefore, the interest rate is 6.3%.

Answer:

9/15

Step-by-step explanation: