To cover a distance of 240 km has to increase a speed of 5 per hour to reach in time time. If the time Lost was 40 minutes during traffic find the original speed

Answer:

Alicia is 18

Step-by-step explanation:

14 + 16 + 18 = 48

Answer: 18

Step-by-step explanation:

Answer:

1. 40

2. 35.71

Step-by-step explanation:

using

pythagoras theorem

Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

171 \(in^2\)

19.5 \(in^2\)

Step-by-step explanation:

To find the area of a parallelogram, one uses the following formula,

\(A=(base)(hieght)\)

Substitute in the given values, and find the area of the parallelogram.

1.

Base = 16

Hieght = 11

 \(Area=(base)(height)\\= (11)(16)\\=176\)

2.

Base = 1.5

Hieght = 13

\(Area=(base)(hieght)\\=(1.5)(13)\\=19.5\)

In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.

This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).

Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.

Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.

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Answer:

work on your English first

Answer:

i dont understand what u want us to do like?

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer:

45°

Step-by-step explanation:

it is 45 degrees

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An element is a pure material made up of atoms with the same amount of protons in their nuclei. The atomic number and the mass number of the element X are 92 and 238 respectively.

In chemistry, an element is a pure material made up of atoms with the same amount of protons in their nuclei. Chemical elements, unlike chemical compounds, cannot be broken down into simpler substances by any chemical process.

Let us consider, that z is the atomic no and A is the mass no of the parent element 'X'.

As per the question, X emits two successive alpha particles (²₁He) and one beta, i.e, particle and reached to daughter element (²³⁰₈₉Ac).

Now according to the question, we can write,

\(^A_ZX \overset{-\alpha}{\rightarrow}\ \ ^{A-4}_{Z-2}X\ +\ ^4_2He\ \ \overset{-\alpha}{\rightarrow}\ \ ^{A-8}_{Z-4}X\ +\ ^4_2He\ \ \overset{-\-\beta}{\rightarrow}\ \ ^{A-8}_{Z-3}X\ +\ ^0_{-1}He\)

We see, \(^A_ZX\) that after two α and one β of emission, we get the daughter element \(^{A-8}_{Z-3}X\). Again as given in the problem, the daughter element is \(^{230}_{89}AC\).

∴We can write-

\(^{A-8}_{Z-3}X=^{290}_{89}AC\)

comparing the two, we get,

Z-3=89

Z=92

A-8=230

A=238

Hence, the atomic number and the mass number of the element X is 92 and 238 respectively.

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Answer:

Graph B

Step-By-Step Explanation:

Answer:

The correct answer is B

Step-by-step explanation:

Answer: 2.25

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Answer:

2.5

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

The scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

the length of the side of this square is \(4\sqrt{2} \:or \:5.65\)cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\(\frac{64}{2}\)

a²=32

doing square root on both side

\(\sqrt{a²}=\sqrt{32}\)

a=±\(\sqrt{2*2*2*2*2}\)

a=±2*2\(\sqrt{2}\)

Since side of square is always positive so

a=4\(\sqrt{2}\) or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

\(\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} \)

Where :

Solution :

Substituting the given value in the required formula :

\({\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}\)

\({\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}\)

\({\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}\)

Hence, the length of the side of square is 5.6 cm.

\(\underline{\rule{220pt}{3pt}}\)

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:

x = 1&16

Step-by-step explanation:

f(x) = 0 then

0 =x^2 - 17x + 16

(x-1)(x-16) =0

x -1 =0 or x-16=0

x =1 & x = 16

Answer:

x = 5, x = 12.

Step-by-step explanation:

This is a quadratic function which may factor to the form (x - a)(x - b) whose zeroes are a and b.

To factor this we need two numbers whose product is +60 and whose sum is -17. They are -5 and -12 ( -5*-12 = 60 and -12 + -5 = -17).

So the factors are :

(x - 5)(x - 17)

To find the zeros we equate this to 0:

(x - 5)(x - 17) = 0

x- 5 = 0 gives x = 5

and

x - 12 = 0 gives x = 12.

Answer: x(x−6)

Step-by-step explanation:

Answer:

(x+0)(x-6) OR x(x-6)

Step-by-step explanation:

AC 1*0...AC=0

B -6...B=-6

AC 0*-6

B 0-6

(x+0)(x-6) OR x(x-6)

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &10250\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=\textit{elapsed time}\dotfill &9\\ \end{cases} \\\\\\ A=10250(1 - 0.05)^{9}\implies A=10250(0.95)^9\implies A\approx 6460\)

Answer: 39 weeks

Step-by-step explanation:

Given

The average temperature is \(85^{\circ}F\) or higher

A year has 52 weeks

It is given 25% of the time-temperature is above \(85^{\circ}F\)

So, in the remaining 75% of the weeks, the average temperature is less than \(85^{\circ}F\)

No of weeks can be determined by

\(\Rightarrow 75\%\ \text{of}\ 52\\\\\Rightarrow \dfrac{75}{100}\times 52=39\ \text{weeks}\)

The apprοpriate diameter when the circumference is 14 ft is apprοximately 4.454 ft, and the apprοpriate radius is apprοximately 2.227 ft.

A circle is a clοsed shape in which every pοint οn the bοundary is equidistant frοm the centre.

Tο find the apprοpriate diameter and radius when the circumference is 14 ft, we can use the fοrmula fοr the circumference οf a circle:

C = 2πr

where C is the circumference and r is the radius.

We can rearrange this fοrmula tο sοlve fοr the radius:

r = C/(2π)

Substituting the given value fοr the circumference, we get:

r = 14/(2π) ≈ 2.227 ft

Tο find the diameter, we can use the fοrmula:

d = 2r

Substituting the calculated value fοr the radius, we get:

d = 2(2.227) ≈ 4.454 ft

Therefοre, the apprοpriate diameter when the circumference is 14 ft is apprοximately 4.454 ft, and the apprοpriate radius is apprοximately 2.227 ft.

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Answer:

(x+7)(x+2)

(x+2)(x+8)

Step-by-step explanation:

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Answer:

x = 66°

∠MON = 57°

x = 13°

Step-by-step explanation:

To tired to explain, just take my word for it...

Answer:

1.

X=66

2.

57

3.

13

Step-by-step explanation:

Good luck .

Answer:

Step-by-step explanation:

Equation for the linear function has been given as,

y = 26 - 4x

For x = 1,

y = 26 - 4(1)

  = 26 - 4

  = 22

For x = 2,

y = 26 - 4(2)

  = 26 - 8

  = 18

For x = 3,

y = 26 - 4(3)

  = 26 - 12

  = 14

For x = 6,

y = 26 - 4(6)

  = 26 - 24

  = 2

Therefore, table for the function will be,

x               y

1              22  

2              18

3              14

6               2

a. 22. 79 - amount

b. 129   -   amount

c. 358. 3  - base

d. 40. 65%  - percent

e. 2. 58% - percent

It is important to note that a percentage is the number or ratio expressed as a fraction of 100.

It is denoted using the percent sign, "%"

a. What number is 53% of 43

= 53/ 100 × 43

= 0. 53 × 43

= 22. 79

b. 43% of 300

= 43/ 100 × 300

= 129

c. 12% of what number is 43

12/ 100 × x = 43

x = 43 × 100/ 12

x = 358. 3

d. 43 is what percent of 106

43/106 × 100/ 1

4300×/ 106

40. 5%

e. What percent of 43 is 6

43/ 100 × 6

2.58%

Thus, the percentage of a value is that value divided by 100

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The true statement is (E) "The length of the rectangle is represented by 9 + 5b."

The area of a rectangle is defined as the product of the length and width.

A. The statement "The length of the rectangle is represented by Sb" is not true. The length of the rectangle is represented by the expression "9 + 5b".

B. The statement "The width and length are factors of the area of the rectangle" is not true. The expression "b(9 + 5b)" represents the area of the rectangle, but it does not mean that the width and length are factors of that expression.

C. The statement "The 9 represents an additional 9 square feet being added to the area of the rectangle" is not true. The expression "9 + 5b" represents the length of the rectangle, not an additional 9 square feet being added to the area.

D. The statement "The width of the rectangle is represented by Sb" is not true. The expression "b" represents the width of the rectangle.

E. The statement "The length of the rectangle is represented by 9 + 5b" is true. The expression "9 + 5b" represents the length of the rectangle.

Therefore, the true statement is (E) "The length of the rectangle is represented by 9 + 5b."

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Answer:yep

Step-by-step explanation:

Answer:

Well both are answered already and i checked both are right I don't know if that's what you wanted...