A car travels a distance of 145 miles in a time of 2.4 hours.
What is its average speed rounded to 1dp?

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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We can represent "f(x)" as:

The derivate of a monomial we multiply the monomial by its expoent and subtract one on the expoent. We have:

The correct option is "a".

Answer:

Step-by-step explanation:

1 sandwich is 6.25 (because 31.25/5)

2 sandwiches is 12.5

3 sandwiches are 18.75

4 sandwiches are 25

5 sandwiches are 31.25

6 sandwiches are 37.5

Amy - 8s + 12

8(6.25) +12 = 62

Amy paid $62.

Bob - 8(s + 2)

8(6.25 + 2) = 66

Bob pays $66.

Cathy - 4(2s + 3)

4(2 x 6.25 + 3) = 62

Cathy paid $62.

Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \(\frac{4(1-2e^-5s)/}{s}\)

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

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Answer:

4 miles

Step-by-step explanation:

4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps

7 x 0.58=4.06 which is 4 miles

Have a good day :}

Answer:

85

Step-by-step explanation:

x:y

8:10

68:y

divide 68 by 8 u get 8.5 and the times it by 10

so y equals 85

Answer:

the answer is D undefined slope

Answer:

UNDEFINED SLOPE

Step-by-step explanation:

mark brainliest if u want

Answer:

1. the best teacher

teach from the heart ❤️

not from the book

2. a good education can change anyone.

a good teacher can change everything.

3.teaching is a work of a Heart

Answer:

x = -3, 9

Explanation:

First, let us divide both sides of the equation by 10^x; this gives,

subtracting 27 from both sides gives

The left-hand side can be factored as

which gives us two further equations

Hence, the two solutions we get are x = 9 and x = -3.

Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

Answer:

The skydiver has an initial height of 3600.

Step-by-step explanation:

3600 is the y-intercept in the form y=mx+b

In the point (0,3600) .Time is the x-axis and Height is the y-axis.

Replacing,

3600= m(0)+b

b=3600

Taking another point: (2, 3536)

We apply the formula to obtain the slope.

m= (y2-y1) / (x2-x1)

m= (3536 - 3600) / (2-0)

m= -64 / 2

m= -32

Joining all the terms:

y=-32x+3600

The maximum number of people that could go will be 5.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that,

An amusement park charges $32 for admission and $6 to park your car.

To ascertain the maximum or lowest values of a scenario with many restrictions, a system of linear inequalities is frequently utilized. Inequalities reflect a limit of what is permitted or achievable rather than a precise quantity.

Suppose that everyone is going in one car and x is the number of persons in the car. The inequality represents the possible number of people that could go for $166 is,

32x+6≤166

32x≤160

x≤160/32

x≤5

Thus, the maximum number of people that could go will be 5.

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Answer:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

I took the test.

Answer:

Step 1: 798/ 8= 99.75

Step 2: 99.75 * 41 = 4089.75

The first significant figure is the first non-zero digit in a number. Therefore the first significant figure in 4089.75 is 4.

If the number following the value that you are rounding to (in this case, the first significant figure ie 4) is greater than or equal to 5, round up the value, ie add 1 to the number. Otherwise round down to the nearest whole number.

Since the number following the significant digit, 4, is zero we therefore round down the number.

Resulting in:

4000.

Therefore, your answer is 4000

Answer:

The store should take 5 boxes.

Step-by-step explanation:

First, find the number of sweaters in each box. If we assume that there is an even amount of sweaters in each box, then we just need to divide the number of boxes by the total number of sweaters. There are 7 sweaters per box. If the store needs 35 sweaters, then they should take 5 boxes, because 5 boxes times 7 sweaters per box is 35 sweaters.

In this situation, the angles that must be congruent to ∠2 are ∠3, ∠6, and ∠7. Thus, the answer is (a) ∠3, ∠6, and ∠7.

When a transversal intersects two parallel lines, corresponding angles are congruent. In other words, angles that are in the same position relative to the parallel lines and the transversal are congruent. Therefore, in this case, ∠2 and ∠5 are corresponding angles and are congruent, as are ∠3 and ∠6, and ∠4 and ∠7.

Thus, the answer is (a) ∠3, ∠6, and ∠7.

Congruent is a term used to describe two shapes or figures that have the same shape and size. It means that the lengths of the sides and the angles of the shapes are exactly the same. Congruence is an important concept in geometry and is used to prove theorems and solve problems.

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Answer:

(B n C) = {b,c}

A = {a,b,c}

B= {b,c,d}

C= {b,c,e}

A u (B n C) = {a,b,c}

(A u B) = {a,b,c,d}

(A u B) n C = {b,c}

(A u C) = {a,b,c,e}

(A u B) n (A u C) = {a,b,c}

Answer:

15

Step-by-step explanation:

0.75 lemon grass seedling and a black pepper seedling from a plant nursery

Answer:

196 units^2

Step-by-step explanation:

bottom area= 20× 6 = 120 units^2

top area=3×20=60 units^2

4 squares= 4 (number of squares) 2×2 (area) =16 units^2

Answer:

The answer to your problem is, A. 60%

Step-by-step explanation:

54 of 90 can be written as: \(\frac{54}{90}\)

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

\(\frac{54}{90} * \frac{100}{100}\)

= \(\frac{( 54 * 100)}{90} * \frac{1}{100} = \frac{60}{100}\)

Thus the answer to your problem is, A. 60%

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Answer:

x = 60%

Step-by-step explanation:

Let the unknown percentage be x.

We can make an expression using the given information.

\(\sf90*\frac{x}{100} =54\)

Solve for x to find the percentage.

\(\sf\frac{90x}{100} =54\\90x=54*100\\\\90x=5400\\\\\frac{90x}{90}=\frac{5400}{90}\\\\ x=60\)

Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.

Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.

In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.

Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.

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The probability that either the words BAD or CAB will appear as part of the row  is 16.7%

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

In the second place, we can put one of 3 cards (because one card was taken in the first place).

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

4×3×2×1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear. We have:

BADC

CBAD

CABD

DCAB

That is 4 out of 24.

Thus, the probability that either the words BAD or CAB will appear as part of the row will be:

P(BAD or CAB) = 4/24 = 16.7%

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The probability is 16.7%

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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The x1, x2, and x3 values of the first observation after the data are sorted would be 1, 1, and 2 respectively.

To sort the data by x1, x2, and then x3 in ascending order, we would first sort the data by x1 in ascending order. Then, for each unique value of x1, we would sort the data by x2 in ascending order. Finally, for each unique combination of x1 and x2, we would sort the data by x3 in ascending order.

Let's say the original data looks like this:

x1 | x2 | x3

3 | 1 | 5

2 | 4 | 6

1 | 3 | 7

2 | 2 | 4

1 | 1 | 2

After sorting by x1, the data would look like this:

x1 | x2 | x3

1 | 3 | 7

1 | 1 | 2

2 | 4 | 6

2 | 2 | 4

3 | 1 | 5

Next, for each unique value of x1, we would sort by x2. For x1 = 1, the data would look like this:

x1 | x2 | x3

1 | 1 | 2

1 | 3 | 7

For x1 = 2, the data would look like this:

x1 | x2 | x3

2 | 2 | 4

2 | 4 | 6

And for x1 = 3, the data would look like this:

x1 | x2 | x3

3 | 1 | 5

Finally, for each unique combination of x1 and x2, we would sort by x3. So the final sorted data would look like this:

x1 | x2 | x3

1 | 1 | 2

1 | 3 | 7

2 | 2 | 4

2 | 4 | 6

3 | 1 | 5

Therefore, The x1, x2, and x3 values of the first observation after the data are sorted would be 1, 1, and 2 respectively.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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the polynomial in standard form is 5x³ - 3x² + 2x + 6. To write a polynomial in standard form, we need to arrange its terms in descending order of the degree of the variable. In this case,

Therefore, the polynomial in standard form is 5\(x^{3}\) - 3\(x^{2}\) + 2x + 6. It is important to note that the standard form of a polynomial helps us easily identify the degree of the polynomial, which is the highest power of the variable in the polynomial. In this case, the degree of the polynomial is 3.
The given polynomial is: 2x - 3x² + 6 + 5x³. To write it in standard form, we need to rearrange the terms in decreasing order of their degrees (exponents).
Standard form of a polynomial is written as: a_n\(x^{n}\) + a_(n-1)\(x^{n-1}\) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_1, and a_0 are coefficients and n is the degree of the polynomial.

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Answer:

Length of arc QR is \(\approx\) 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

\(\angle RPS = 123^\circ\)

To find length of arc QR = ?

Solution:

Arc QR subtends the \(\angle QPR\) on center P.

So, we need to find the angle \(\angle QPR\) to find the length of arc QR.

QS is the diameter so \(\angle QPS = 180^\circ\)

\(\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ\)

Converting in radians,

\(\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians\)

Using the formula for length of arc:

\(l = \theta \times R\)

Where \(\theta\) is the angle subtended by the arc on center.

R is the radius of circle.

Here,

\(\theta = 0.99\ radians\\R = 10\ cm\)

\(l = 0.99 \times 10\\l = 9.9\ cm\)

Length of arc QR is \(\approx\) 9.9 cm

Answer:

9.9 cm

Step-by-step explanation: