I'll send the pic in the session

Answer:

N550

N4960

Step-by-step explanation:

10 days

First day: N10

Second day: N20

Third day: N30

...

Tenth day: N100

Sum of sequence: 10 + 20 + 30 + 40 + ... + 80 + 90 + 100

sum = (n/2)[2a+(n−1)d]

a = 10; n = 10; d = 10

sum = (10/2) × [2(10) + (10 - 1)(10)]

sum = 5[20 + 9(10)]

sum = 5[110]

sum = 550

Answer: N550

31 days

First day: N10

Second day: N20

Third day: N30

...

Thirty-first day: N100

Sum of sequence: 10 + 20 + 30 + 40 + ... + 290 + 300 + 310

sum = (n/2)[2a+(n−1)d]

a = 10; n = 31; d = 10

sum = (31/2) × [2(10) + (31 - 1)(10)]

sum = 15.5[20 + 30(10)]

sum = 15.5[320]

sum = 4960

Answer: N4960

Given

(1,7) and (4,1)

y=-2x+9

Since the line on which segment AB is reflected is x = 1 then the rule for this reflection will be

Then, the coordinates of the segment that is reflections of segment AB with respect to the line x = 1 will be

And the segment with these coordinates is EF

Therefore, the correct answer is b. EF.

Answer:

2 pounds is the correct answer because 2 tons would be to much for any human to hold / wear

Answer:

a

Step-by-step explanation:

The equivalent expression of the given complex fraction is (5x - 2y)/(3x - 2y).

We are given a fraction. The fraction is complex in nature. A fraction is a portion of a whole or, more broadly, any number of equal parts. A complex fraction is a rational expression that contains a fraction in either the numerator or the denominator. Let the complex fraction be represented by the variable "F". The fraction is given below.

F = [(-2/x) + (5/y)]/[(3/y) - (2/x)]

We have to convert this complex fraction into a simple mathematical expression. A mathematical expression is a finite collection of symbols that is well-formed according to context-specific norms. Let the expression be represented by the variable "E".

E = [(-2y + 5x)/x*y]/[(3x - 2y)/x*y)]

E = [(-2y + 5x)/(3x - 2y)]/[x*y/x*y)]

E = [(5x - 2y)/(3x - 2y)]*1

E = (5x - 2y)/(3x - 2y)

The complete question is given below.

Which expression is equivalent to the following complex fraction?

[(-2/x) + (5/y)]/[(3/y) - (2/x)]

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Given

Graph

Procedure

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

Mahelet's age is found to be 14 years by solving the simultaneous equations using the given data.

A collection of two or more equations, each having two or more variables, whose values can concurrently fulfil one, more, or all of the equations in the collection, with the number of variables being equal to or fewer than the collection's equations.

Given: Mahelet is four times older than Mr. Jones, who is three years older than Mahelet. The total of their ages is 73.

Let, x =  Mahelet's age

      y =  Mr. Jones's age

We know that,

y = 4x +3

x + y = 73

Solving these equations simultaneously we get,

y = 4(73-y) +3

y = 292 - 4y + 3

5y = 295

y = 59

x = 73 - y = 73 - 59 = 14

Therefore, Mahelet's age is found to be 14 years by solving the simultaneous equations.

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Answer:

(x+2)(x+5)

Step-by-step explanation:

By using division of decimal numbers, it is obtained that cost of 1 pound of coffee is $8.99

What is decimal number and division?

Decimal numbers are those numbers which consist of an integer part and a fractional part.

Decimal are of two types-

Terminating decimals are those decimals which has finite number of figures after decimal point

Non terminating decimals are those decimals which has infinite number of figures after decimal point.

Division is the process by which value of single unit can be calculated from the value of multiple unit

The number which is divided is the dividend, the number by which dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula in division

Divisor x Quotient + Remainder = Dividend

Here, division of decimal will be used

Cost of 5 pounds of coffee = $44.95

Cost of 1 pound of coffee = $[tex]\frac{44.95}{5}\\[/tex]

                                          = $8.99

Cost of 8 pounds of coffee = $71.92

Cost of 1 pound of coffee = $[tex]\frac{71.92}{8}\\[/tex]

                                          = $8.99

Cost of 14 pounds of coffee = $125.86

Cost of 1 pound of coffee = $[tex]\frac{125.86}{14}\\[/tex]

                                          = $8.99

Cost of 20 pounds of coffee = $179.80

Cost of 1 pound of coffee = $[tex]\frac{179.80}{20}\\[/tex]

                                          = $8.99

So cost of 1 pound of coffee = 8.99

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Answer:

2 pairs of jeans

Step-by-step explanation:

1) Subtract the cost of the t-shirt

   As we are given the information that she will only be buying one t-shirt it

   means that we can get rid of the price of it...

   $80-$9 = $72

2) Find the number of jeans

   Knowing that we have $72 left we have figure out how many jeans she

   can buy by dividing 72 by 34...

   $72 ÷ $34 = 2

Hope this helps, have a great day!

Answer:

14.42 feet

Explanation:

In the figure, we can see that the pole form a right triangle with legs equal to 12 feet and 8 feet, where 8 ft is half the wide or 16 ft/2 = 8 ft.

Then, by the Pythagorean theorem, the length of the slanted pole square is equal to the sum of the square of the legs, so

Where x is the minimum length of the slanted pole. Therefore, x is equal to

Therefore, the answer is 14.42 feet.

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Answer:

equation and fraction addition and subtraction

The perimeter of the given rectangle is 16r-14s centimeters.

Let width be represented by=w

Let length be represented by=l

Let perimeter be represented by=p

Then,

l=(r-5s)centimeters (Given in the question)

while w=(7r-2s)centimeters (Given in the question)

The formula for the perimeter of a rectangle= 2(l+b)

where l is the length while b is the breadth of the rectangle.

On putting values in the equation:

p=2(l+b)

p=2(l+w)

p=2[(7r-2s)+(r-5s)]

on opening the bracket 2 is multiplied by both terms.

p=2(7r-2s)+2(r-5s)

p=(2x7r-2x2s)+(2xr-2x5s)

p=(14r-4s)+(2r-10s)

p=14r-4s+2r-10s

p=14r+2r-4s-10s

p=14r+2r-(4s+10s)

p=14r+2r-(14s)

p=16r-(14s)

Thus,

p=16r-14s centimeters

The perimeter of the given rectangle is 16r-14s centimeters.

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From the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

In the given question,

Pattern A follows the rule "add 2" and Pattern B follows the rule subtract 2

Pattern A: 1, 3, 5, 7, 9

Pattern B: 10, 8, 6, 4, 2

We have to find which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B.

From the given question,

Pattern A:  1, 3, 5, 7, 9

Pattern B:  10, 8, 6, 4, 2

As given in the pattern A all numbers are 2 number up from the previous one and in pattern B each number is 2 number down from the previous one.

We have to combine a term in Pattern A with its corresponding term in Pattern B.

We have to combine with corresponding terms that means we combine one term from pattern A and one from pattern B.

Now the term after combining are

1, 10, 3, 8, 5, 6, 7, 4, 9, 2

So the combination of terms that can be formed are

(1, 10), (10,3), (3, 8), (8,5), (5, 6), (6,7), (7, 4), (4,9), (9,2)

Hence, from the given option (1,10), (5,6) and (7,4) are ordered pairs that formed from combining a term in Pattern A with its corresponding term in Pattern B.

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Answer:

D

Step-by-step explanation:

The total commission is the number of laptops times the commission per laptop. Thus, [tex]c=39.95l[/tex].

Setting [tex]l=15[/tex], [tex]c=39.95(15)=599.25[/tex].

Answer:

[tex]g(2) = 9[/tex]

[tex]x = 1[/tex]

[tex]g(0) = 1[/tex]

[tex]g(x)=3^x[/tex]

Step-by-step explanation:

To find g(2), find the y-value when x = 2.

From inspection of the graph, g(2) = 9.

To find x when g(x) = 3, find the x-value when y = 3.

From inspection of the graph, g(1) = 3, so x = 1.

To find g(0), find the y-value when x = 0.

From inspection of the graph, g(0) = 1.

Therefore, we have determined the following ordered pairs:

The given graph is a graph of an exponential function.

General form of an exponential function:

[tex]f(x)=ab^x[/tex]

where:

The y-intercept is when x = 0.

As the y-intercept is 1, a = 1:

[tex]\implies g(x)=(1)b^x[/tex]

[tex]\implies g(x)=b^x[/tex]

To find the value of b, substitute one of the ordered pairs into the function and solve for b:

[tex]\begin{aligned}g(x)=b^x&\phantom{=}\\\implies g(2)=b^2&=9\\ \sqrt{b^2}&=\sqrt{9}\\b&=3\end{aligned}[/tex]

Therefore, the rule for the graphed function is:

[tex]\boxed{g(x)=3^x}[/tex]

The tension in the string at rest calculating the force and friction is  approximately 2 N.

For particle A ,

The forces perpendicular to the plane is

R - 3cos 30° = 0

⇒R = 3cos 30°

The resultant force acting horizontally is  

T cos 30° - R  sin 30°

Now we substitute the value of R and T we get:

⇒ [tex]\frac{3(1+\sqrt3)}{4} cos 30 -3cos30\text{ }sin30[/tex]

⇒3√3 / 8 + 9/8 -3√3 / 4

⇒0.475 N

For the particle B.

The forces perpendicular to the plane is

R - 3cos 60° = 0

⇒R = 3cos 60°

The resultant force acting horizontally is  

T cos 60° - R  sin 60°

Now we substitute the value of R and T we get:

Force = 0.275 N

Resultant tension in the string:

0.475 -0.275 = 0.2

The given tension in the string is 3/4(1+√3) N

or, tension =2.049..N

or, tension ≈ 2 N approx

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The equation of the line that passes through the points (5,2) and (1,4) is given by  [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

Let the points  [tex](5,2) = (x_{1} , y_{1} )[/tex] and [tex](1,4) = (x_{2} , y_{2} ).[/tex]

The two-point form of the equation of a line is given by,

[tex]y-y_{1} =\frac{y_{2} -y_{1} }{x_{2}- x_{1} } (x-x_{1} )[/tex]

Substituting the values of [tex]x_{1} , x_{2}, y_{1}[/tex] and [tex]y_{2}[/tex] in the above equation, we get,

[tex]y-2=\frac{4-2 }{1-5 } (x-5 )\\\\ y-2 = \frac{2 }{-4 } (x-5 )\\\\ y-2=-\frac{1}{2} (x-5)\\ \\y-2=-\frac{x}{2} +\frac{5}{2} \\ \\y=-\frac{x}{2} +\frac{5}{2} +2\\ \\y=-\frac{x}{2} +\frac{9}{2}[/tex]

Thus the equation of the line is [tex]y=-\frac{x}{2} +\frac{9}{2}[/tex].

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Answer:

12.50/26.256.25×5 31.25

Step-by-step explanation:

SOLUTION

In 2020 black engineers under 30 is 70% of 500, which is

In 2021 500 members joined making a total of 1000 members.

The black engineers together are now 50% of 1000, which is 500

So the numbers of black engineers that joined in 2021 becomes

Hence the answer is 150

A clockwise rotation 90° about the origin followed by a translation

2 units to the right and 6 units down produces Δ X'Y'Z' from Δ XYZ

There are four types of transformations: reflection, rotation, translation, and dilation.

Translation, rotation, reflection, and dilation are the four primary categories of transformation.

* Let's update the translation and rotation.

If the point (x, y) rotated.

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Answer:clockwise rotation 90

translation is 2 units

Step-by-step explanation:

Answer:

1 and three-fifth or 1.6

Answer: its 1 over 0 which equals B^-1

Using the Pythagorean Theorem we get:

Therefore:

Substituting a=200.7km and c=401.5km we get:

Solving the above equation for b we get:

Now, from the given diagram we get that:

Substituting a=200.7km and c=401.5km we get:

Therefore:

Answer:

The period of a trigonometric function is the distance between each repetition of the function.

In this case, we have:

As we can see in the graph of the function, the distance between each repetition is 2π.

Therefore, the period of f(x) = csc(x) is 2π.

Answer:

the third one (I don’t know if you put it as b on purpose or not that’s why I’m calling it the third one)

Step-by-step explanation:

it’s says the puppy gained 2 pound for x weeks so you know that the variable (x) will be associated with the 2 and it already weighed 10 pounds so your adding from there.

Answer:

B (2x + 10 = 16)

Step-by-step explanation:

initial weight = 10 pounds

2 pounds per week for x weeks, so

2 multiplied by the number of weeks

= 2x

It now weighs 16 pounds in total

so, 10 added to it's weight per week

= 10 + 2x

= 16

so

2x + 10 = 16

Let cheryl score "c", Adam score "a", Laura score "l" and Tom score "t", points.

Now, let's write equations for statements given.

Adam scores 8 more than Cheryl, so:

a = c + 8

or

c = a - 8

Laura scored twice as Adam, so:

l = 2a

Tom scores 10 less than Laura:

t = l - 10

or

t = 2a - 10

Altogether, they scored 66, so:

c + a + l + t = 66

Putting the 3 bold equations in the last one, we can solve for "a" first. Shown below:

So,

c = a - 8

c = 14 - 8

c = 6

l = 2a

l = 2(14)

l = 28

t = 2a - 10

t = 2(14) - 10

t = 28 - 10

t = 18

So,

Adam = 14 points

Cheryl = 6 points

Laura = 28 points

Tom = 18 points