5. {MCC.8.EE.7b} Solve the following: 3x - 8 = 5x + 12*
-3
-12
7
-10

Answer:

First side is 19, second side is 38 and third side, the longest is 43.

Step-by-step explanation:

Let's call the first side a.  

The second side, being twice as long as the first, is 2a.

The third side is 2a+5.

The equation is:

a+2a+2a+5=100, since 1 metre is 100 centimetre.

5a+5=100

5a=95

a=19

First side is 19, second side is 38 and third side, the longest is 43.

Answer:

12 hat/scarf outfits

Step-by-step explanation:

If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?

We solve this question using the fundamental counting principle.

This states that:

When we have two events, a and bthe number of ways both events can happen is a × b

From the above question, our two events is

a = 3 old felt hats

b = 4 scarves

Hence, the different hat/scarf outfits can he wear is given as

3 × 4 = 12 hat/scarf outfits

From the given options, we can say that the only one that represents a function is; Situation B

From the given options, we can say that the only one that represents a function is Option B

The reason why Option B is the correct option is due to the fact that from the rule of functions, it states that for every input, there is exactly one output.  Now, Situation B is talking about only ONE favorite math teacher.

Thus, we can conclude that situation B is the right answer.

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Answer:Option B

Step-by-step explanation:

Answer:$128

Step-by-step explanation:

If $1=6.25 rands then we must divide 800 by 6.25

Answer:

Around 8.5 hours.

Step-by-step explanation:

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer:

B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

I hope I was helpful :)

Step 1: Write out the expression to simplify

Step 2: Remove the bracket using distribution property

Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms

The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression

Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)

The formula for the circumference of a circle is "c = 2 pi r", where "c" represents the circumference, "pi" represents the mathematical constant pi (approximately equal to 3.14159), and "r" represents the radius of the circle.

This formula relates the distance around a circle to its size, and is useful for calculating various measurements related to circles, such as arc length and sector area. It is important to note that the formula for the circumference of a circle assumes the circle is a perfect, unbroken curve, and thus may not be accurate for circles that are not perfectly round.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

To find the quotient q(x) and the remainder r(x) when dividing p(x) by d(x) using long division, we can perform the following steps:

Step 1: Write the dividend (p(x)) and the divisor (d(x)) in descending order of powers of x:

p(x) = x^3 + 2x^2 - 16x + 640

d(x) = x + 10

Step 2: Divide the highest degree term of the dividend by the highest degree term of the divisor to determine the first term of the quotient:

q(x) = x^3 / x = x^2

Step 3: Multiply the divisor by the term obtained in step 2 and subtract it from the dividend:

p(x) - (x^2 * (x + 10)) = x^3 + 2x^2 - 16x + 640 - (x^3 + 10x^2) = -8x^2 - 16x + 640

Step 4: Repeat steps 2 and 3 with the new dividend obtained in step 3:

q(x) = x^2 - 8x

p(x) - (x^2 - 8x) * (x + 10) = -8x^2 - 16x + 640 - (x^3 - 8x^2 + 10x^2 - 80x) = 6x^2 - 96x + 640

Step 5: Repeat steps 2 and 3 with the new dividend obtained in step 4:

q(x) = x^2 - 8x + 6

p(x) - (x^2 - 8x + 6) * (x + 10) = 6x^2 - 96x + 640 - (x^3 - 8x^2 + 6x^2 - 80x + 60) = -x^3 + 8x^2 - 186x + 580

Since the degree of the new dividend (-x^3 + 8x^2 - 186x + 580) is less than the degree of the divisor (x + 10), this is the remainder, r(x).

The quotient q(x) is x^2 - 8x + 6, and the remainder r(x) is -x^3 + 8x^2 - 186x + 580, when dividing p(x) = x^3 + 2x^2 - 16x + 640 by d(x) = x + 10 using long division.

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Answer: I think

#3- A

#4- C

Answer:

x= 2

Step-by-step explanation:

X+3=5

x=5-3

x=2

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

x = 2

Step-by-step explanation:

In algebra, we take out the operations so we just have x on the left side.

We need to take out the 3.

So we are going to subtract 3 form the left side of the equation and we are gonna subtract it from the right side of the equation.

X+3-3 = 5-3

So:

x = 2

Thats your answer

Hope this helps

Answer:

x = 9

Step-by-step explanation:

According to the Corresponding Angles Postulate, when a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent. (Corresponding angles are pairs of angles that have the same relative position in relation).

As L₁ is parallel to L₂, the two angles shown in the given diagram are corresponding angles and therefore are congruent.

To find the value of x, set the expressions of the two corresponding angles equal to each other and solve for x:

\(\begin{aligned}6x-3&=5x+6\\6x-3-5x&=5x+6-5x\\x-3&=6\\x-3+3&=6+3\\x&=9\end{aligned}\)

Therefore, the value of x is 9.

Answer:

4 box: 9

5 box:4.5

6 box: 27

Step-by-step explanation:

Do 3/.5= 6 so multiply the numbers by 6

1.5•6=9

4.5•6=27

Hope this helps! ;-)

Answer:

His last turn was in West direction and his last leg of the trip is 6 Km away

Step-by-step explanation:

The direction and distance travelled is as follows

a) West - 3 Km

b) North - 6 Km

c) South 2 Km

d) West - 3 KM

At last he turned in the west direction and he travelled 3 Km + 3 Km = 6Km

Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

The probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is 0.6747

When adults with smartphones are randomly selected, 53% use them during meetings or classes. You need to find the probability that fewer than five of the 11 selected adults use their smartphones during meetings or classes. Here's how to calculate the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes:

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

Where X represents the number of smartphone users in the selected group who use their phones in meetings or classes. Using the binomial probability formula, you can calculate each of these probabilities separately.

\(P(X = 0) = (11C0)(0.53)^0(1 - 0.53)^11 = 0.0026\\P(X = 1) = (11C1)( 0.53)^1(1 - 0.53)^10 = 0.0247\\P(X = 2) = (11C2)(0.53)^2(1 - 0.53)^9 = 0.1012\\P(X = 3) = (11C3)(0.53) ^3(1 - 0.53)^8 = 0.2346\\P(X = 4) = (11C4)(0.53)^4(1 - 0.53)^7 = 0.3116\\\)

Therefore, the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is:

\(P(X < 5) = 0.0026 + 0.0247 + 0.1012 + 0.2346 + 0.3116 = 0.6747\)

Therefore, the probability is 0.6747.

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Answer:

1919=0+1+0+1=2

Step-by-step explanation:

The minimum required sample size to be 95% confident that the sample mean is within one unit of the population mean, given a standard deviation of 4.8, can be determined using the formula for the sample size in a confidence interval for a population mean. Based on this calculation, the minimum required sample size is 90.

To calculate the minimum required sample size, we can use the following formula:

n = (Z * σ / E)²

Where:

n is the required sample size,

Z is the z-value corresponding to the desired confidence level,

σ is the standard deviation of the population, and

E is the desired margin of error.

In this case, we want to be 95% confident, which corresponds to a z-value of 1.96 (for a two-tailed test). The standard deviation of the population is given as 4.8, and the desired margin of error is one unit.

Substituting these values into the formula, we get:

n = (1.96 * 4.8 / 1)²

n = (9.408 / 1)²

n ≈ 90

Therefore, the minimum required sample size to be 95% confident that the sample mean is within one unit of the population mean, given a standard deviation of 4.8, is approximately 90.

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There are 24 ways for the vote of the favorite, second favorite, and third favorite band to be cast.

The list contains 4 bands.

Out of these 1 band is Alonzo's favorite, 1 is his second favorite and another is his 3rd favorite

Now to choose his favorite Alonzo has 4 choices. Hence there are 4 ways to cast this vote.

Now since one band has been chosen, Alonzo is left with 3 bands on the list, hence he has 3 ways to cast the vote for the second favorite.

For the last vote of 3rd favorite, there are2 options available, hence this can be done in 2 ways.

Hence we get the total number of ways to be

4 X 3 X 2 ways

= 24 ways

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Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 =  102.4 cm^2

which agrees with the second answer option provided.

Answer

-17

Step-by-step explanation:

5 times -17= -85 and then add 5 = -80

Answer:

The answer should be 2 71/100

Answer:

Roughly

1143$ annually

But if you want exact then its

1142.857143$  

Step-by-step explanation:

sin2x = 12/13, cos2x = 5/13, and tan2x = 4/5.

Explanation:

Given sinx = 2/√13 and x is in the first quadrant, we can determine the values of sin2x, cos2x, and tan2x as follows;

First, let us determine the value of cosx since we need it to determine sin2x.cosx = √(1 - sin²x)  = √(1 - (2/√13)²) = √(1 - 4/13) = √9/13 = 3/√13

Therefore,cosx = 3/√13

We can then use the values of sinx and cosx to determine sin2x, cos2x, and tan2x

sin2x = 2sinxcosx = 2(2/√13)(3/√13) = 12/13

cos2x = cos²x - sin²x= (3/√13)² - (2/√13)² = 9/13 - 4/13 = 5/13

tan2x = (2tanx)/(1 - tan²x) = 2(2/3)/(1 - (2/3)²) = 4/5

Therefore, sin2x = 12/13, cos2x = 5/13, and tan2x = 4/5.

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The acceleration of the particle with position vector r(t) = (g sin t)i + (g cos t)j + htk can be expressed in the form \(aT^T + aN^N\) without finding T and N.  

The tangential component of the acceleration is given by aT = g cos t i - g sin t j, while the normal component is aN = -h k. This means that the particle is undergoing a uniform circular motion with radius g and angular velocity dθ/dt = g/h.

The tangential component of the acceleration is responsible for changing the speed of the particle, while the normal component is responsible for changing the direction of the velocity vector.

In other words, the tangential component is perpendicular to the normal component and together they form a right-angled triangle with hypotenuse equal to the acceleration vector.

Therefore, by expressing the acceleration vector in terms of its tangential and normal components, we can better understand the motion of the particle without explicitly calculating the unit tangent and normal vectors.

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The given spherical equation, 3sin(θ) + 2cos(φ) = 0, can be converted to the Cartesian system by using the relationships between spherical and Cartesian coordinates.

In the Cartesian coordinate system, a point is represented by (x, y, z), where x, y, and z are the coordinates along the x-axis, y-axis, and z-axis, respectively.

To convert the equation, we can use the following relationships:

x = r * sin(θ) * cos(φ)

y = r * sin(θ) * sin(φ)

z = r * cos(θ)

Here, r represents the radial distance from the origin to the point, θ is the polar angle measured from the positive z-axis, and φ is the azimuthal angle measured from the positive x-axis to the projection of the point on the xy-plane.

In the given equation, we have 3sin(θ) + 2cos(φ) = 0. By substituting the Cartesian coordinates into this equation, we get:

3*(x/r) + 2*(z/r) = 0

This equation represents a relationship between the Cartesian coordinates x, y, and z. It can be further simplified or rearranged as needed to obtain a more explicit Cartesian equation.

In summary, the given spherical equation 3sin(θ) + 2cos(φ) = 0 can be converted to the Cartesian system as 3*(x/r) + 2*(z/r) = 0. This equation relates the Cartesian coordinates x, y, and z and can be rearranged or simplified as required.

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