A line has a slope of 7 and includes the points (5, f) and (7, 8) what is the value of f

The number of atoms of each element in CO2 are; Number of O atoms = 2 and Number of C atoms = 1

The number of atoms present in the molecule of an element is known as its Atomicity. For Example: In the H2O molecule, its atomicity is 3 as it has 2 molecules of hydrogen and 1 molecule of oxygen

Similarly, for the antiperspirant  Al₂Cl(OH)₅. the number of atoms in each element can be found as follows;

Number of Al atoms = 2

Number of Cl atoms = 1

Number of H atoms = 1 x 5 = 5

Number of O atoms = 1 x 5 = 5

Applying the above to our question gives;

Number of C atoms = 1 atom

Number of O atoms = 2 Atoms

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The multiplication of 92 by 43 using standard algorithm is 3956.

A standard algorithm or method in elementary mathematics is a certain computation technique that is typically taught for resolving particular mathematical issues.

To be more organized and effective, a typical algorithm uses the same steps each time we multiply, add, subtract, or divide.

Math problems are typically solved by aligning the places, starting with the ones on the right, moving on to the tens place, adding in any carryover numbers or regrouping if subtracting and so on.

Therefore, the multiplication is:

= 92 × 43

= 3956

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The area of the composite figure is 17 square in. Option B

From the image shown, we can see that the composite figure is made up of;

The formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, substitute the values into the formula for area

Area = 3 × 4

Multiply through

Area = 12 square in

The formula for area of a triangle is expressed as;

Area = 1/ 2 × b × h

Where;

Substitute the values into the formula

Area = 1/ 2 × 2 × 5

Multiply the numerators

Area = 10/ 2

Find the ratio

Area = 5 square in

But area of the composite figure is given as;

Area of rectangle + area of triangle

12 + 5

17 square in

Hence, the area is 17 square in

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Answer:

That's the answer

please mark brainiest

Answer:

Domain { 0,2,3,4}

Range { -2,1,2,5}

Step-by-step explanation:

The domain is the values that x can take

Domain { 0,2,3,4}

The range is the values that y can take

Range { -2,1,2,5}

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then

AU(BUC)= {1,2,3,4,5,6,7,8}.

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas  the circles that do not overlap do not.

Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.

Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.

Since, BUC= {1,2,3,5,7,8}

So, AU(BUC) = {1,2,3,4,5,6,7,8}

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Answer:

half of a foot

Step-by-step explanation:

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

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1. The total bill that the basketball team will pay is $165.

2. The change that the person will recieve after paying is $43.075

1. The basketball team went out and the total bill was $125.

Tip given to waitress= 25% = 25% × $125 = $31.25

Tax rate = 7% = 7% × $125 = $8.75

Total bill = $125 + $31.25 + $8.75 = $165

2. Amount saved = $100

Total bill = $45

Tip given to waitress= 20% = 20% × $45 = $9

Tax rate = 6.5% = 6.5% × $45 = $2.925

Amount left = $100 - $45 - $9 - $2.925 = $43.075

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Answer:

The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

Answer:

1024

Step-by-step explanation:

4^5

= 4*4*4*4*4

= 16*4*4*4

= 64*4*4

= 256*4

= 1024

Answer:

60

Step-by-step explanation:

10 + 10 + 10 + 10 + 10 + 10 = 60

Answer:

60

Step-by-step explanation:

Everytime you are multiplying by 10, you add a 0 to the number that you are multiplying by. In this case, the 6 turns into 60. This is a trick for the multiples of 10. Hope this helps!

By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.

In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:

s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ

First, determine the first 26 terms of the series:

a₁ = 49

a₂ = 46

a₃ = 43

a₄ = 40

a₅ = 37

a₆ = 34

a₇ = 31

a₈ = 28

a₉ = 25

a₁₀ = 22

a₁₁ = 19

a₁₂ = 16

a₁₃ = 13

a₁₄ = 10

a₁₅ = 7

a₁₆ = 4

a₁₇ = 1

a₁₈ = - 2

a₁₉ = - 5

a₂₀ = - 8

a₂₁ = - 11

a₂₂ = - 14

a₂₃ = - 17

a₂₄ = - 20

a₂₅ = - 23

a₂₆ = - 26

Second, sum all the terms found in the previous step:

s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26

s = 299

The sum of the first 26 terms of the sequence is equal to 299.

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Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

given

[tex]\sqrt{5}[/tex] × [tex]\sqrt{8}[/tex]

= [tex]\sqrt{5(8)}[/tex]

= [tex]\sqrt{40}[/tex]

= [tex]\sqrt{4(10)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{10}[/tex]

= 2[tex]\sqrt{10}[/tex]

Answer:

a=75

Step-by-step explanation:

The total weight of the brass returned is 4.04 lb

In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows

A unit received rounds of .9mm = 1000

They return the number of live round units = 450

They return the number of live round units with a brass conversion = .009

so,

  The total weight of the brass returned = 450 × .009

   The total weight of the brass returned with a brass conversion = 4.05 lb

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The single transformation from shape A to shape B is;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.

Now, let us look at the shapes A and B to find their coordinates.

Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)

Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)

Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)

The transformation of shape A following (x, y) → (y, x) is;

A'(6, 1), B'(6, 5), C'(8, 3)

Comparing that to the coordinates of shape B, we can say that the transformations are;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

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Answer:

4

Step-by-step explanation:

1 side is 50 per inch the ornate cost 200 cents. 200÷50=4

The measure of the angle TRS = 46°

The angles given in figure are :

angle QSR = 110°

angle STR = 64°

angle QRS = 2x-10°

We will find the angle TRS using these given angles and some angle properties in a triangle.

We have the fact that sum of three angles of a triangle = 180°

So angle TRS + angle RST + angle STR = 180°

angle QSR and angle RST are supplementary. i.e., their sum = 180°

So angle RST = 180° - 110° = 70°

So angle TRS = 180°- (70°+64°) = 46°

Using angle TRS we can also find angle QRS and thereby, the value of x.

From the figure, angle QRT = 90°.

So angle QRS = 90°-angle TRS

⇒ 2x - 10° = 90° - 46°

⇒ 2x = 44° + 10°

⇒ x = 54°/2

⇒ x = 27°

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The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

Given that,

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).

The formula K = C + 273.15 can be used to simulate this.

We have to find the equation with the subject C.

K=C+273.15

Taking the C to left hand side and K to right hand side.

-C=273.15-K

Multiplying -1 on both sides

-1(-C)=-1(273.15-K)

C=K-273.15

Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

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the sum of the interior angles of a parallelogram is 360°,

we have the next angles equals

m

m

With this in mind, we can have the next equation

51+51+28x-11+28x-11=360

we sum similar terms

80+56x=360

we isolate the x

56x=360-80

56x=280

x=280/56

x=5

Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.

The triangle ABC has an area of 50 square cm

From the question, the given parameters are:

The given parameters above mean that:

The triangles ABC and PQR are similar triangles

So, the area of the triangle ABC is then calculated as

Area of △PQR = Area of △ABC x (AC/PR)²

Substitute the known values in the above equation

So, we have the following equation

Area of △PQR = 8 x (2.5)²

Evaluate the product

Area of △PQR = 50

Hence, the area of the triangle ABC is 50 square cm

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Answer:

-4

Step-by-step explanation:

The line goes down as it moves to the right so it has to be negative.

It goes over 1 and down 4.

To find the slope we use -4/1

We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.

So -4/1 = -4

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]

Answer:

360

Step-by-step explanation:

Answer: 360

Step-by-step explanation:

Answer:

Yep your good

Step-by-step explanation:

Your smart

The solution of the given expression will be ( 2.4 x 10⁸ ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-

Sum = 2 x 10⁸  + ( 4 x  10⁷ )

Sum = 20 x  10⁷ + ( 4 x  10⁷ )

Sum = ( 20 + 4 ) x  10⁷

Sum  = 24 x  10⁷

Sum = 2.4 x 10⁸

Therefore, the solution of the given expression will be ( 24 x 10⁷ ).

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