135-(19+25)/4
I need the answer fast

(a) The ratio of the height of the model to the height of the original is 2:15.

(b) The ratio of the volume of the model to the volume of the original is 1:215³.

(c) The ratio of the surface area of the model to the surface area of the original is 1:215².

For a, To find this ratio, we can use the scale factor of 1:215, which means that every dimension of the model is 1/215th of the original dimension. Since height is a dimension, we can set up the proportion:

model height / original height = 1/215

Solving for the model height, we get:

model height = original height * (1/215)

Dividing both sides by the original height, we get:

(model height / original height) = 1/215

Multiplying both sides by 15, we get:

(model height / original height) * 15 = 15/215

Simplifying, we get:

(model height / original height) = 2/30 = 2:15

Therefore, the ratio of the height of the model to the height of the original is 2:15.

(b) Since volume is a three-dimensional quantity, we need to use the scale factor to find the ratio of the volumes. The ratio of the volumes is equal to the cube of the scale factor, which is (1/215)³. Therefore, the ratio of the volume of the model to the volume of the original is 1:215³.

(c) Since the surface area is a two-dimensional quantity, we need to use the scale factor to find the ratio of the surface areas. The ratio of the surface areas is equal to the square of the scale factor, which is (1/215)². Therefore, the ratio of the surface area of the model to the surface area of the original is 1:215².

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Complete Question:

A designer builds a model of a canoe. The finished model is exactly the same shape as the original, but smaller. The scale factor is :215

(a) Find the ratio of the height of the model to the height of the original.

(b) Find the ratio of the volume of the model to the volume of the original.

(c) Find the ratio of the surface area of the model to the surface area of the original.

Write these ratios in the format m:n.

height:

volume:

surface area:    

Answer:

i would say it's 2 but im also not smart soooo

Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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Answer:

Step-by-step explanation:

Use of formula:

a) Find each part of distance and add together. Convert minutes to hours.

b) Average speed is:

Answer:

(a)  142 km

(b)  40.57 km/h (2 d.p.)

Step-by-step explanation:

\(\boxed{\sf Distance=Speed \times Time}\)

Given:

Substitute the given values into the distance formula to find the distance travelled:

\(\implies \sf Distance = 35 \times 2 = 70\;km\)

Given:

Substitute the given values into the distance formula to find the distance travelled:

\(\implies \sf Distance = 48 \times 1.5 = 72\;km\)

Therefore, the total distance travelled is:

\(\implies \sf 70 + 72 = 142 \; km\)

\(\boxed{\sf Average\;speed=\dfrac{Total\;distance}{Total\;time}}\)

Given:

Substitute the given values into the average speed formula to find the average speed over the entire journey:

\(\implies \sf Average\:speed=\dfrac{142}{3.5}=40.57\;km/h\;(2\;d.p.)\)

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The 95% confidence interval for the population proportion of defective calculators is (0.0015, 0.0069).

Hence, (0.0015 < p < 0.0069).

According to the given information

we can use the formula for calculating the confidence interval for a population proportion,

⇒ P ± z√(P(1-P )/n)

Where,

P = sample proportion of defective calculators = 5/1200

                                                                              = 0.0042

n = sample size = 1200

z = z-score for 95% confidence level = 1.96 (from standard normal distribution table)

Substituting the values in the formula, we get,

⇒ 0.0042 ± 1.96√(0.0042(1-0.0042)/1200)

Simplifying the expression gives us the confidence interval,

⇒ (0.0015 < p < 0.0069)

Therefore,

The 95% confidence interval for the population proportion of defective calculators is (0.0015, 0.0069).

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Answer:

your answer should be 30/8

Step-by-step explanation:

The fire is approximately 313.5 feet away from the base of the tower.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It focuses on the study of trigonometric functions, which are functions that relate the angles of a triangle to the ratios of the lengths of its sides.

We can use trigonometry to solve this problem.

Let's draw a diagram of the situation:

          /|

         / |

      258  | opposite

       ft  |

         / |

        /  |

       /38°|

  fire/____|

   x ft adjacent

The angle of depression is the angle between the horizontal and the line of sight to the fire. So, the tangent of the angle is equal to the opposite side (the height of the tower) divided by the adjacent side (the distance from the tower to the fire):

tan(38°) = opposite / adjacent

We want to solve for the adjacent side (the distance from the tower to the fire), so we can rearrange the equation to isolate it:

adjacent = opposite / tan(38°)

Plugging in the values we know:

opposite = 258 ft

angle = 38°

We get:

adjacent = 258 ft / tan(38°)

adjacent ≈ 313.5 ft

Therfore, the fire is approximately 313.5 feet away from the base of the tower.

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Answer:

I think it is $220

Step-by-step explanation:

There is $370 dollars total, and Mrs.Valencia has $50 more than 3 times the amount of money Mr.Brennan has, so $50 times 3= 150, $370-$150=$220

Answer:

Mr.Brennan: $80 Mrs.Valencia $290

Step-by-step explanation:

80 * 3 = 240

240 + 50 = 290

Answer:

4.6 inches

Step-by-step explanation:

3 inches + 160% = 4.6 inches :)

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

The relationship is not linear.

Step-by-step explanation:

Answer:

Where is the picture to model the data?

Step-by-step explanation:

Answer:

None of them...

I think so I might have done it wrong

Step-by-step explanation:

6x-5=2x+7

6x-2x=7+5

4x=2

x=2/4

The grade point average received by hector is 3.75.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.

The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.

3 a and one is B received by Hector.

The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college

We have GPA= A+A+A+B/4

GPA=4+4+4+3/4

GPA= 15/4

GPA=3.75

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Complete question

Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0

\(\\ \sf\longmapsto |11-x|=1\)

As we can see

\(\\ \sf\longmapsto D_f=\[1,11\]\)

So having 1 and 11 as domain we can say the equation is

\(\\ \sf\longmapsto |11-x|\geqslant 1\)

The two correct transformations that would preserve congruence of a triangle on a coordinate grid are: a reflection of the triangle across the x-axis, and a dilation by a scale factor of 2 with the origin as the center of dilation.

A reflection across the x-axis is a transformation that results in the image of a point being reflected across the x-axis, such that the y-coordinate of the point is negated while the x-coordinate remains the same. This transformation preserves congruence because it does not change the shape or size of the triangle, only its orientation. A dilation by a scale factor of 2 with the origin as the center of dilation, on the other hand, is a transformation that results in the image of a point being multiplied by a factor of 2, while its distance from the origin is preserved. This transformation also preserves congruence because it changes the size of the triangle, but not its shape or orientation.

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The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

5.9

Step-by-step explanation:

The distance between a point A and a point B is A-B.  (4.5) - (-1.4) is the same as 4.5 + 1.4 so your answer is 5.9

Answer:

Step-by-steDistance between

(

−

4.5

,

−

4.5

)

and  

(

3.5

,

3.5

)

 is

8

√

2p explanation:

Hence distance between

(

−

4.5

,

−

4.5

)

and

(

3.5

,

3.5

)

is given by

√

(

3.5

−

(

−

4.5

)

)

2

+

(

3.5

−

(

−

4.5

)

)

2

=

√

8

2

+

8

2

=

√

64

+

64

=

√

128

=

√

8

2

×

2

=

8

√

2

Answer:

-53 /14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Missing reason/statements:

The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.

The simple interest of an amount of money can be counted by the following formula.

I = P₁ - P

I = P × r × t

Where

We have

Find the final account balance!

After 9 years, the simple interest of the savings is

I = P × r × t

I = $425.00 × 2.7% × 9 years

I = $3,825.00 × 0.027

I = $103.28

The final account balance would be

I = P₁ - P

$103.28 = P₁ - $425.00

P₁ = $425.00 + $103.28

P₁ = $528.28

Hence, after 9 years, the account balance would be $528.28.

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to sketch the graph of the linear inequality:

Step 1. Graph the line.

Since the inequality we have is:

The line we need to graph is:

Here, the number that accompanies the x is called the slope of the line "m"

and the independent number is called the y-intercept "b", which is the point where the line crosses the y-axis.

The graph of just the line is:

And since the symbol of the inequality is ">", we will have the part that is up from the line.

And since the simply is not "≥" we will have the line pointed, the result will be as follows:

The number of gallons in  64 fluid ounces would be 0.5.

While fluid ounce, denoted by the sign "fl oz," is an imperial measurement system in the US systems volume unit, gallon is a volume unit in the US Customary measurement systems. Thirty-eight fluid ounces make up a gallon of water. It takes 128 fluid ounces to make up a fluid gallon.

Despite the fact that they are very different, ounces and fluid ounces both serve as units of measurement. As the name suggests, fluid ounces are designed to measure volume (generally of liquid ingredients like water), whereas ounces measure weight, typically of solid materials like all-purpose flour.

In a gallon, there are 128 fluid ounces. However, it can change depending on whether the unit system is in use for liquid or dry gallons. There are 148.94545 ounces in a dry US gallon. There are 153 fluid ounces in an Imperial gallon if you measure using the British Imperial method.

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Answer:

Can I get brainliest please?

Step-by-step explanation:

Ok so, Let's solve your equation step-by-step.

5x−2(2x−1)=6

Step 1: Simplify both sides of the equation.

5x−2(2x−1)=6

5x+(−2)(2x)+(−2)(−1)=6(Distribute)

5x+−4x+2=6

(5x+−4x)+(2)=6(Combine Like Terms)

x+2=6

x+2=6

Step 2: Subtract 2 from both sides.

x+2−2=6−2

x=4

So, your answer would be:

x=4

Answer:

x=4

Step-by-step explanation:

5x-2(2x-1)=6

multiply 2 to the parathesis

5x-4x+2=6

collect like terms

x+2=6

subtract both sides by 2

x=4

Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously