1. deagan is painting a mural of a triangle for a lwhs conference room. the


triangular-shaped mural will be a total of 289 square feet; the height is 25


feet. what is the measure ofthe base?

Answer:

.12

Step-by-step explanation:

When converting percents to decimals, each 1% is equivalent into a hundredth in a decimal. Add 3 and 9 to get 12 hundredths, which will be .12.

Answer:

3m = 3m

Step-by-step explanation:

Divide both sides by 3, and you get m = m

disappointing but this was all i could think of sorry

Answer:

Angel Fall is 3091 ft taller.

Step-by-step explanation:

Height of Angel fall = 3281 ft

Height of Niagara falls in the United States = 190 ft

Angel fall is taller than Niagara Fall by

==> 3281 - 190 = 3091 ft

❄ Hi there,

let us revise the two rounding rules before getting down to the actual process of rounding.

\(\sf{Rules:}\)

Let's see these rules in action!

The number is – \(219.2\).

Nearest whole number – \(219\), which is followed by a number between 0 and 4, so we just drop that number :

\(\sf{219.2- > > 219}\)

❄

Answer:

x = 3

Step-by-step explanation:

6 + 8x

---------  =  5x

   2

6 + 8x

---------  =  5x (2)

   2 (2)

6 + 8x = 10x

   -8x      -8x

------------------

6 = 2x

÷2  ÷2

-----------

3 = x

I hope this helps!

Answer:

-8/27

Step-by-step explanation:

Convert 2 1/4 into a improper fraction: 9/4

Rewrite the equation: -2/3 divided by 9/4

To divide fraction, multiply by the reciprocal of that fraction

Reciprocal of 9/4: 9/4

Multiply the fractions: -2/3 times 4/9

=-8/27

Answer:

-8/27

Step-by-step explanation:

-(2/3) ÷ (2 1/4 )   (convert 2 1/4 into improper fraction)

= -(2/3) ÷ (9/4)  (convert ÷ to x by taking the reciprocal of 9/4)

= -(2/3) x (4/9)

= -(2 x 4) / (3 x 9)

= -8/27

Answer:

b=3

Step-by-step explanation:

Step 1:

Expand

22=5b + 7b - 14

Step 2:

Simplify

22=12b - 14

Step 3:

add 14 to both sides

36= 12b

Step 4:

divide both sides by 12

36/12 = 12b/12

Step 5:

3 = b

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

x=31

y=15

Step-by-step explanation:

let x and y be the 2 part

x+y=46

x-2y=1 ⇒ x=1+2y

substitute :

1+2y+y=46

3y=46-1

3y=45 ⇒ y=45/3=15

x-2y=1

x-2(15)=1 ⇒ x=1+30 ⇒x=31

x= 2 times y(15)+1

y=15

31+15=46

I hope this helps you

V of Sphere =4/3.pi.r^3

r=1

V=4/3.3,14.1^3

V=4,1866666

The Orthogonal Vectors passing through the points P(1, 0, -1), Q(-2, 1, 1), and R(1, -1, 1), are\(.\dfrac{-1}{\sqrt{6} }i + \dfrac{-2}{\sqrt{6} } j + \dfrac{(-1)}{\sqrt{6} } k\\\)

When two vectors are perpendicular to each other they are called Orthogonal Vectors

The vectors may be obtained as

PQ = Q - P = (-2, 1, 1) - (1, 0, -1)

                   = (-3, 1, 2)

PR = R - P = (1, -1, 1) - (1, 0, -1)

                      = (0, -1, 2)

Cross product can be calculated as

N = PQ x PR

\(N = \begin{vmatrix} &i &j &k \\ &-3 &1 &2 \\ & 0 &1 &2\end{vmatrix}\)

\(N = i \times (1 \times 2 - 1 \times (-1)) - j \times 1 (-3 \times 2 - 0\times2) + k \times (-3 \times (-1) - 0 \times 1)\)

\(N = 3i + 6j - 3k\)

To find a unit vector, divide the vector N by its magnitude:

Magnitude of N =\(\sqrt{3^2+6^2+(-3)^2} = \sqrt{54}\)

Unit vector U = {N}{|N|}= \(\dfrac{3}{3\sqrt{6} }i + \dfrac{6}{3\sqrt{6} } j + \dfrac{(-3)}{3\sqrt{6} } k\)

Simplifying, we get:

Unit vector as a positive component

U' = -(1/√6)i - (2/√6)j + (1/√6)k

\(\dfrac{-1}{\sqrt{6} }i + \dfrac{-2}{\sqrt{6} } j + \dfrac{(-1)}{\sqrt{6} } k\\\)

Therefore, the unit vector orthogonal to the plane through points P, Q, and R, with a postive y-component, is\(.\dfrac{-1}{\sqrt{6} }i + \dfrac{-2}{\sqrt{6} } j + \dfrac{(-1)}{\sqrt{6} } k\\\).

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Answer:

31/20

Step-by-step explanation:

You need to plug in x as y-3.

so instead of 10x+10y=1 it is 10(y-3)+10y=1

Then just simplify the equation to find the value of y

Answer:

3rd option

Step-by-step explanation:

The dotted line at x=3 removes the 2nd one

Cus it's a dotted line, the > sign has no line under it so not 1st option

last option has y intercept at 1 but the graph's y intercept is at -2 so it's not it

Answer:

its the third one

Step-by-step explanation:

1.7x10^9

take care

-tired kitten

who wants to rest forever

Answer:

1) 100 degrees F

2) 50 degrees F

Step-by-step explanation:

its just simple subtraction

A highway superintendent states that four bridges into a city are used in the ratio 2:3:3:4 during the morning rush hour.

A highway study of an SRS of 6000 cars indicates that main answer in 40 words and explanation in 140 words.According to the question, there are four bridges into the city, and they are used in the ratio of 2:3:3:4.

That means that for every 2 cars coming from the first bridge, there are 3 cars coming from the second and the third bridges and 4 cars coming from the fourth bridge.According to the SRS of 6000 cars, the total number of cars from the first bridge is: 2/12 * 6000 = 1000

The total number of cars from the second bridge is: 3/12 * 6000 = 1500The total number of cars from the third bridge is: 3/12 * 6000 = 1500The total number of cars from the fourth bridge is: 4/12 * 6000 = 2000

Therefore, the number of cars coming from the first, second, third, and fourth bridges are 1000, 1500, 1500, and 2000, respectively, during the morning rush hour.

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The conclusion of the argument is B ∨ G.

To derive the conclusion B ∨ G, we can use the rules of inference step by step:

(M ∨ N) ⊃ (F ⊃ G) (Premise)

D ⊃ ∼C (Premise)

∼C ⊃ B (Premise)

M • H (Premise)

D ∨ F (Premise)

M ∨ N (Disjunction Elimination from premise 4)

F ⊃ G (Modus Ponens using premises 1 and 6)

∼C (Modus Ponens using premises 2 and 4)

B (Modus Ponens using premises 3 and 8)

D (Disjunction Elimination from premise 5)

F (Disjunction Elimination from premise 5)

G (Modus Ponens using premises 7 and 11)

B ∨ G (Disjunction Introduction using conclusion 9 and 12)

Therefore, the conclusion of the argument is B ∨ G.

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The fit statistic that can be used across different series that are in fact measured in different units is; MAPE

There are different statistics models in this regards such as;

Mean Absolute Error (MAE)

Mean Absolute Scaled Error (MASE)

Accuracy Percent (Accuracy %)

Mean Squared Error (MSE)

Root Mean Squared Error (RMSE)

Mean Absolute Percent Error (MAPE)

Now, we are told that we need the fit statistic that can be used across different series that are in fact measured in different units.

The correct one will be Mean Absolute Percent Error (MAPE) because the average absolute percent difference between the values that are fitted by the model and the observed data values.

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63.75km/hr is the car average speed fpr the entire journey.

The formula for calculating average speed is expressed according to the formula below

Average speed = change in distance/water

Substitute the given parameter

Average speed = 90/2 + 75/4

Average speed = 45 + 18.75

Average speed = 63.75km/hr

Hence the car's average speed for the entire journey is 63.75km/hr

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Answer:

3/10 Choice C

Step-by-step explanation:

1/4 = 6/20 = 3/10

5/6

Answer:

angle 1=90, angle 2=110,angle 3=120, angle 4=90, angle 5=39

Step-by-step explanation:

Answer:

1. 1 3/8- 1 /1/8

2. 11/8- 9/8

3. 1 3/8- 9/8

Step-by-step explanation:

A radical equation is √(x + 2) = 4 - x and the extraneous solution is x = 7

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

In steps 4 and 5, we have

x = ∛5 * 5 * 5 * 5

x = 5∛5¬ * 5¬ * 5¬ * 5

The above steps are carried out because it would simplify the radical expression to its simplest form

The reason it is done is to have the value of x in its simplest form

Here's an example of a radical equation:

√(x + 2) = 4 - x

Square both sides

x + 2 = 16 - 8x + x^2

Evaluate the like terms

x^2 - 9x + 14 = 0

Factor the quadratic equation

(x - 2)(x - 7) = 0

Solve for x:

x = 2 or x = 7

For x = 2:

√(2 + 2) = 4 - 2

√4 = 2

2 = 2

This is true, so x = 2 is a valid solution.

For x = 7:

√(7 + 2) = 4 - 7

√9 = -3

3 = -3

This is not true, so x = 7 is not a valid solution.

So, there is an extraneous solution

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Answer:

109 degrees

Step-by-step explanation:

Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.

I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.

Hopefully this answer is right but sorry if it isn't.

Answer:

If ℓ, b and h denote respectively the length, breadth and height of a cuboid, then Total surface area of the cuboid = 2 (ℓb + bh + ℓh) square units. Volume of the cuboid = Area of the base × height = ℓ × b × h cubic units. where base area = Breadth × length

Hopefully, this helps! :D

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

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(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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To convert microseconds to seconds in the programming language C, you can use a simple mathematical expression.

#include <stdio.h>

int main() {

   int microseconds = 1000000;

   double seconds = (double)microseconds / 1000000.0;

   printf("%d microseconds is equivalent to %f seconds\n", microseconds, seconds);

   return 0;

}

A microsecond is a unit of time equal to one millionth of a second, while a second is a unit of time equal to the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.

To convert microseconds to seconds in the programming language C, you can use a simple mathematical expression.

A microsecond is a unit of time equal to one millionth of a second, while a second is a unit of time equal to the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.

To convert microseconds to seconds in C, you can simply divide the number of microseconds by one million (1,000,000). This can be done using the following code:

c

Copy code

#include <stdio.h>

int main() {

   int microseconds = 1000000;

   double seconds = (double)microseconds / 1000000.0;

   printf("%d microseconds is equivalent to %f seconds\n", microseconds, seconds);

   return 0;

}

In this example, the value of microseconds is set to 1000000, which represents one million microseconds. This value is then divided by one million using the expression (double)microseconds / 1000000.0, which gives the equivalent value in seconds. The result is then displayed using the printf function.

It is important to use the double data type when converting microseconds to seconds, as this data type allows for decimal values, which are necessary for representing fractional units of time.

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