There is space in a multi-storey car park for 5 rows of 20 cars on each of the 8 floors. How many spaces are left if 2124 cars have already parked?

Answer:

16

Step-by-step explanation:

u just have to mutiply

False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.

A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.

Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.

The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.

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Answer: The answer is 1.30

Step-by-step explanation: Because if you add the whole itt equal 1 and 3/10 is .30 which equals 1.30

Answer:

  1.3

Step-by-step explanation:

We assume that each square in the model represents 1 unit. Each square is divided into 10 parts, so each of those strips represents 1/10 unit, or 0.1 when written in decimal.

There are 3 of the 0.1-unit strips colored in the second square, representing 0.3 units. The number represented by the shaded portion of the model is ...

  1 + 0.3 = 1.3

1) the fuction is:

and the derivate will be:

2) The function is:

and the derivate:

3) the function is:

and the derivate will be:

4) the function is:

and the derivation will be:

5) the equation is:

first we rewrite the equation so:

and now we derivate so:

To find dy/dx and d^2y/dx^2, we need to differentiate the given parametric equations with respect to t and then apply the chain rule.

Given the parametric equations:

x = t

y = t - 3

Differentiating both equations with respect to t:

dx/dt = 1

dy/dt = 1

Now, we can find dy/dx by dividing dy/dt by dx/dt:

dy/dx = (dy/dt) / (dx/dt) = 1 / 1 = 1

So, dy/dx = 1.

To find d^2y/dx^2, we need to differentiate dy/dx with respect to t and then divide by dx/dt:

d^2y/dx^2 = [(d/dt)(dy/dx)] / (dx/dt)

Differentiating dy/dx = 1 with respect to t:

(d/dt)(dy/dx) = 0

Dividing by dx/dt = 1, we get:

d^2y/dx^2 = 0

The slope of the curve at the given point (t = 7) is 1, and the concavity is flat (neither concave up nor concave down) as indicated by d^2y/dx^2 = 0.

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Step-by-step explanation:

Two-fifths represents two out of five. (2/5)

We can include 2/5 as one of our answers.

How to find other equivalent fractions?

Multiply the numerator and denominator by the same whole number, for example 2.

\( \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \)

When 4/10 is simplified (divided by 2) it equals 2/5.

4/10 is another correct answer.

Multiply 2/5 by 3, 4, and 5:

\( \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \)

\( \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \)

\( \frac{2 \times 5}{5 \times 5} = \frac{10}{25} \)

6/15, 8/20, 10/25 when simplified equals 2/5.

2/5, 4/10, 6/15, 8/20, 10/25 are, and can be your answer choices.

Answer:

no this would not be true because science doesnt always rely on reality as in some scientific books or films they dont fully base it on truth.

Step-by-step explanation:

The percentage profit for the so is that were made is 40.32%.

From the information, Rowena buys cashmere wool in 20g balls. Each ball of cashmere wool costs her £1.42 and she pays her sister £8 to knit each pair of socks. The cost will be:

= (£1.42 × (20 + 135) + (40 × £8)

= £220.1 + £320

= £540.1

The selling price will be:

= £18.95 × 40

= £758

Therefore, the percentage profit will be:

= Profit / Cost price × 100

= (758 - 540.1) / 540.1 × 100

= 217.9 / 540.1 × 100

= 40.32%

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The height of a building is 7 m that casts a shadow of 11.3 m

The ratio between height to shadow length of man will be equal to the ratio of building. So, equating these two to find the height of building.

Height : Shadow length (man) = Height : shadow length (Building)

Keep the values as fraction

1.8/2.9 = Height/11.3

Height of building = (1.8 × 11.3) ÷ 2.9

Performing multiplication in numerator on Right Hand Side of the equation

Height of building = 20.34 ÷ 2.9

Performing division on Right Hand Side of the equation

Height of building = 7 m

Thus, the height of building is 7 m.

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Absolute value of function = - 9 / 3 .

The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3  x = - 9 /4 Hence absolute value = - 9 / 3 .

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Answer:

Less than 4

Step-by-step explanation:

= ✓8 is equal to 2.83 which is less than 4

The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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Answer:

354 m

Step-by-step explanation:

to find the height substitute t = 3.5 into the height polynomial

height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354

The probability for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

Percentage of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / Total attempts

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The probability for the number of fish the bear caught is 0.289

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The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.

To find the resultant velocity, first find the velocity vector components using the parametric equations:

vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)

At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:

|v| = √(vx² + vy²) = 12.8 m/s

To find the acceleration vector components, differentiate the velocity vector components with respect to time:

ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)

At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:

|a| = √(ax² + ay²) = 46.1 m/s².

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The sale price of the sofa is 70% of the regular price, represented by 0.7p.

If the regular price of the sofa is $100, the sale price would be $70.

If the sale price of the sofa is 30% off the regular price, then the sale price is calculated as 100% - 30% = 70% of the regular price. This means that the sale price is 70/100 or 0.7 times the regular price, represented by 0.7p. Therefore, statement 1 is true.

To calculate the sale price for a given regular price, we simply multiply the regular price by 0.7. For example, if the regular price is $100, the sale price would be 0.7 x $100 = $70. Therefore, statement 2 is also true.

It's important to note that the discount percentage can also be represented as a decimal, which is 0.3 in this case. To calculate the sale price, we can also multiply the regular price by (1 - 0.3), which also gives us 0.7p.

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Answer:

10/12

Step-by-step explanation:

A:

4 seconds per centimer:

30cms               15 cms

----------------       -------------

2 minutes           1 minute

1 minute= 60 seconds

15 cms                       1cm

-----------------     =     ----------------

60 seconds              4seconds

B: 15 cms per minute

30cms/2minutes

(divide by 2 to get speed for one minute)

15cm/1 minute

Answer:

Step-by-step explanation:

f(x-d) shifts the graph right d units

x+d shifts the graph up d units

so our answer is:

(x-7)³+5

Answer: 3, 9, and 9

Step-by-step explanation:

X+3x+3x=217x=21x=33, 9, 9=21

Using this strategy, we can show that exactly half of the 24 permutation matrices have det(p) = -1. So the answer to the question is 12. To answer this question, we need to know that a permutation matrix is a square matrix with exactly one 1 in each row and each column, and all other entries being 0.

A 4 by 4 permutation matrix can be thought of as a way to rearrange the numbers 1, 2, 3, and 4 in a 4 by 4 grid. There are 4! (4 factorial) ways to do this, which is equal to 24.  Now, we know that the determinant of a permutation matrix is either 1 or -1. We are looking for permutation matrices with det(p) = -1.
To find the number of such matrices, we can use the fact that the determinant of a matrix changes sign when we swap two rows or two columns. This means that if we have a permutation matrix with det(p) = 1, we can swap two rows or two columns to get a new permutation matrix with det(p) = -1.
For example, consider the permutation matrix
1 0 0 0
0 0 1 0
0 1 0 0
0 0 0 1
This matrix has det(p) = 1. We can swap the first and second rows to get
0 1 0 0
1 0 0 0
0 0 1 0
0 0 0 1
which has det(p) = -1.
Using this strategy, we can show that exactly half of the 24 permutation matrices have det(p) = -1. So the answer to the question is 12.
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When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer:

x = \(\frac{3}{2}\)

Step-by-step explanation:

Given

f(x) = 4x² - 12x + 9

To obtain the zero let f(x) = 0 , that is

4x² - 12x + 9 = 0 ← in standard form

(2x - 3)² = 0 ← in factored form , then

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)

The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.

What is Quadratic polynomial?

A polynomial which has highest power 2 is called a quadratic polynomial.

Given that;

The function is;

f (x) = 4x² - 12x + 9

Now, To find zero of the function we equate the function to zero.

We get;

f (x) = 4x² - 12x + 9

4x² - 12x + 9 = 0

Solve the function by quadratic formula we get;

x = - (-12) ± √12² - 4 × 4 × 9 / 2 × 4

x = 12 ± √144 - 144 / 8

x = 12 ± 0 / 8

x = 12/8

x = 3/2

Thus, The zero of the function f (x) = 4x² - 12x + 9 will be 3/2.

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The confidence interval in "The 95% confidence interval for the mean, based on the given information, is (9.85, 11.32)" indicates that we are 95% confident that the true population mean falls within this range.

Interpreting the confidence interval, it means that if we were to take multiple samples from the same population and calculate the confidence intervals, approximately 95% of those intervals would contain the true population mean.

In this specific case, it suggests that we are 95% confident that the true mean lies between 9.85 and 11.32.

The confidence interval refers to the precision of our estimate, not the likelihood of the true mean falling within the specific interval calculated from a single sample.

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The equation of u when it is the subject is u = 9/t - 12at

From the question, the original equation is given as

9 = 12at2 + ut

Next, we rewrite the equation to show the exponents

This is represented as

9 = 12at² + ut

To solve further, we simply isolate the variable term ut

This is done by subtracting 12at²  from both sides of the equation

So, we have the following equation

9 - 12at² = 12at² - 12at² ut

Evaluate the like terms in the equation

So, we have

9 - 12at² = ut

Lastly, divide both sides of the equation by t

So, we have

(9 - 12at²)/t = ut/t

Evaluate the quotients

9/t - 12at = u

Make us the subject

u = 9/t - 12at

Hence, the solution for the equation for u is u = 9/t - 12at

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Answer:

One

Step-by-step explanation:

Line of symmetry of a figure is an imaginary line about which the figure can be divided into two equal halves.

In other words, a line passing the center of the figure about which we can fold the figure into two halves overlapping each other.

For the trapezoid given in the figure, line of symmetry will be a vertical line perpendicular to the parallel sides.

Therefore, The figure has 1 line of symmetry.