Prosta aa i prosta bb są do siebie prostopadłe, a także prosta bb i prosta cc są do siebie prostopadłe. Wybierz poprawne uzupełnienie zdania. Prosta aa jest prostopadła / równoległa do prostej cc.

Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:

Hypotenuse x = 10 unit

Step-by-step explanation:

Given:

Two equal sides = 5√2

Find:

Hypotenuse x

Computation:

Using Pythagorean theorem;

Hypotenuse = √Base² + Perpendicular²

Hypotenuse x = √(5√2)² + (5√2)²

Hypotenuse x = √50 + 50

Hypotenuse x = √100

Hypotenuse x = 10 unit

Answer:

C. B

Step-by-step explanation:

I took the quiz

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²

Answer:

a. =11+ 1

b. =4x+ (-7y) + (-5z) +6

c. (-3x) + (-8y) +(-4)+(-8/7z)

Step-by-step explanation:

a. 20 - 9 + 8 -7

=11+ 1  ( this is obtained by solving)

b. 4x - 7y - 5z + 6

=4x+ (-7y) + (-5z) +6

We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.

c. -3x - 8y - 4 - 8/7z

-[ 3x+8y+4+8/7z]

or

(-3x) + (-8y) +(-4) +(-8/7z)

The minus sign is taken as common leaving the expression with the plus only.

It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.

Answer: 110 degrees

Step-by-step explanation:

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

\(r = 0.3\)

The explained variance is found using the following formula:

\(R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9\)

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Hi

1/5 is mint  : so  30*1/5 = 6

1/2 of what remain is chocolate :  which mean  (30-6) /2 = 24/2 = 12

So vanilla will be :  30-6-12 =  30-18 = 12

recap :  6 mint, 12 chocolate and 12 vanilla.

Answer:

$3.45

Step-by-step explanation:

Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;

\(\frac{8}{27.6}=\frac{1}{x}\)

Step 1: Divide 27.6 by 8

\(27.60 \div 8 = 3.45\)

Step 2: Multiply the result by 1

\(3.45 \times 1 = 3.45\)

That means 1 cereal box costs 3.45 dollars.

Answer:

Opposite of 7= -7

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

We know that the graph will face down (the negative sign)

We also know that the vertex should be (-2, 1)

Therefore, option 2 is the solution

$39.99+238.8+1.75x and  $4.99=1.99x+$40 are the algebraic expressions of given data.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that $39.99 /month, unlimited texting , 120MB data (Overages $1.99 /MB talk is $1.75 /minutes

$39.99+120(1.99)+1.75x

$39.99+238.8+1.75x

$4.99 /month, unlimited texting ,$40 for 80MB data talk is $1.99 /minutes

$4.99+1.99x+$40

Hence, $39.99+238.8+1.75x and  $4.99+1.99x+$40 are the algebaic expressions of given data.

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In order to find the fractions that are equivalent to whole numbers, we can convert each fraction to its decimal form.

So we have that:

So the fractions that are equivalent to whole numbers are 5/5 and 10/1.

Answer: The answer is 4

Step-by-step explanation: First multiply 1/6 by its opposite or 6. Next multiply 6 by 4/6 and you would get 4. then check your answer by filling in the blank. The answer is then complete.

Hope this helps :)

The ball will be 73.5 meters above the ground after a time of 3 seconds. (Correct choice: A)

Herein we have an equation that models the height of the ball as function of time, we need to evaluate the expression for t = 3 s to find the required height:

s(3) = - 4.9 · (3 s)² + 19.6 · (3 s) + 58.8

s(3) = 73.5 m

The ball will be 73.5 meters above the ground after a time of 3 seconds. (Correct choice: A)

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Answer:

Step-by-step explanation:

It has one solution

Answer:

50+-50+0

Step-by-step explanation:

adding 50 to -50 and add 0 =0

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.

It is the factor by which currency conversion of two countries is done.

The most Favorable day is Friday because the exchange rate on Friday is the highest.

So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100

Mary will receive on Friday(a)=27168.788 Yen

The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.

So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100

So, Mary will receive on Wednesday(b)= 25,656.2949 Yen

Difference between (a) and (b) = 1512.4931 Yen

Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.

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Answer:

\(=2.73738\)

Step-by-step explanation:

\(\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000\)

\(\frac{5316}{1942}\)

\(\mathrm{Write\:the\:problem\:in\:long\:division\:format}\)

\(\begin{matrix}1942\overline{|\smallspace5316}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2.\:\:\:\:\:\:\:\:\:\:\:\\ 1942\overline{|\smallspace5316.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace8\emptyspace8\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace4\emptyspace3\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

\(=2.73738\)

Hence, the correct answer is 2.73738

Answer:

2.7 / 2 Remainder 7, view equation below

Step-by-step explanation:

a way to finish this with the same answer:

flip 0.073 around, remove the 0's, and put it next to your 2.7 :)

hope it helps!

let me know!

To make the area of a polygon x% of its original area, you should multiply each side length by the square root of x/100.

The area of a polygon is directly proportional to the square of its side length.

If you want the area to be x% of its original value, it means you want the new area to be (x/100) times the original area.

Since the area is proportional to the square of the side length, to achieve the desired area, you need to adjust the side length by a scale factor.

Let's denote the scale factor as k. The new area will be (k^2) times the original area.

Setting up the equation (k^2) = x/100, we can solve for k: k = √(x/100).

Therefore, to make the area of the polygon x% of its original area, you should multiply each side length by the scale factor √(x/100).

To achieve an area of x% of the original area for a polygon, each side length should be multiplied by the square root of x/100.

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The speed of the train moving through a tunnel 15.75 km for 0.015h is 291.67 m/s.

To find the speed of the train, we need to use the formula:
Speed = Distance / Time.
The distance traveled by the train is given as 15.75 km, and the time taken is given as 0.015 hours.

We need to convert the distance to meters and the time to seconds to get the answer in m/s.
Distance = 15.75 km = 15.75 x 1000 m = 15750 m
Time = 0.015 hours = 0.015 x 3600 s = 54 seconds.

Now, we can substitute these values in the formula:
Speed = 15750 m / 54 s = 291.67 m/s.

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wAnswer:

e

Step-by-step explanation:

Solution:

Note that:

Substitute the values in the expression:

Combine Like terms:

Further Simplify:

The probability of experiencing only nausea is 0.10 or 10%.

What is the probability?

In probability theory, the probability of an event is a number between 0 and 1, inclusive, that represents the likelihood of the event occurring. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain to occur.

Let's use a Venn diagram to represent the probabilities of experiencing nausea (N) and decreased sexual drive (D):

From the information given, we know that:

P(N) = 0.24 (the probability of experiencing nausea)

P(D) = 0.49 (the probability of experiencing decreased sexual drive)

P(ND) = 0.14 (the probability of experiencing both nausea and decreased sexual drive)

To find the probability of experiencing only nausea (not decreased sexual drive), we need to subtract the probability of experiencing both from the probability of experiencing nausea:

P(N only) = P(N) - P(ND)

P(N only) = 0.24 - 0.14

P(N only) = 0.10

Hence, the probability of experiencing only nausea is 0.10 or 10%.

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A real-life example of a hidden variable would be age in research that checks the correlation between shirt sizes in grade school and reading ability.

In a research that checks whether student shirt sizes (independent variable) have an impact on reading ability, it is found that students with high shirt sizes are better at reading.

A hidden variable here is age. Students who are older will more likely have a higher shirt size and better reading comprehension.

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Answer:

x=50

Step-by-step explanation:

2x+20=3x-30

2x-3x=-x

20+30=50

-x+50=0

-x=-50

x=50