For exercises 4–9, find the value of x. round to the nearest tenth.[

Answer:

[tex]\frac{21}{40}n[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.

So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:

[tex]\frac{2 * 8}{5*8} n[/tex] and [tex]\frac{1*5}{8*5}n[/tex]

this comes out as

16/40n and 5/40n

NOW, they have the same denominator and you can add the numerators together to make it one happy fraction

[tex]\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}[/tex]

Then, for the 3/6, you can simplify this fraction into:

1/2

This is because if you divide the top and bottom of the fraction by 3 like so:

[tex]\frac{3/3}{6/3}[/tex] (Always make sure you do the same for the top as you do to the bottom)

This comes out as

[tex]\frac{1}{2}[/tex]

Then for the full equation:

[tex]\frac{21}{40} n + \frac{1}{2}[/tex]

45. 0 square units.

The area of the kite is 40.5 unit square.

The side of the kite inscribed in square is 9

We have to find the area of the kite

The area of a kite is,

[tex]A = (d_1d_2) / 2[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the diagonals of the kite.

The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.

Therefore we get,

[tex]d_1 = 9 units[/tex]

[tex]d_2 = 9 units[/tex]

[tex]A = (9units \times 9units) / 2[/tex]

[tex]A = 81units^2 / 2[/tex]

[tex]A = 40.5 units^2[/tex]

So the third option is correct .

Therefore ,The area of the kite is 40.5 unit square.

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Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Answer:

28 ft²

Step-by-step explanation:

area of the desk = (5×4) + (4×2) = 20 + 8 = 28 ft²

Answer:

28

Step-by-step explanation:

5 times 4 = 20

4 times 2= 8

20 plus 8=28

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.

The angle X can be found using the cosine rule.

w² = x² + v² - 2xv cos W

w² = 110² + 700² - 2 × 110 × 700 cos 9°

w² = 12100 + 490000 - 154000 cos 9°

w² = 502100 - 154000 × 0.98768834059

w² = 502100 - 152104.004452

w = √349995.995548

w = 591.604593921

w = 591.60 inches

Using sine rule, let's find ∠X

Sine rule

110 / sin X = 591.60 / sin 9°

Therefore,

110 sin 9 = 591.60 sin X

sin X = 110 sin 9 / 591.60

sin X = 110 × 0.15643446504 / 591.60

sin X = 17.2077911544 / 591.60

X= sin⁻¹ 0.02908686807

∠X = 1.66678986656

∠X = 2 degrees

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Answer:

higher

Step-by-step explanation:

should be higher since 6 x 15 is 90, which is far away from 150

Answer:

should be higher

Step-by-step explanation:

because 6×15=90 and 90+19 is lower than 150

Answer:  called tthe term of an algebraic expression.

Examples of algebraic expressions and their terms:

(i)  x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii)  5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii)  3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

)  2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i) Simple algebraic expressions consist of one term.

(ii) Compound algebraic expressions consist of two or more terms.

Answer:

The answer is -8

-4 l5 +(-3)l

-4 (2) = -8

Answer: Correct answer is  -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Edmentum Answer

Step-by-step explanation:

a) 2y = 3x + 4

b) given the perpendicular

3x + 5y = 1

5y = 1 - 3x

y = 1/5 - 3x/5

m¹ = -3/5

perpendicular

m¹m² = -1

-3m²/5 = -1

m² = 5/3

so (1,8)

x¹ = 1 y¹ = 8

m² = (y - y¹)/(x - x¹)

5/3 = (y - 8)/(x - 1)

5x - 5 = 3y - 24

3y - 5x + 5 - 24 = 0

3y = 19 + 5x

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

An exponential function is a function that is in the form: m = ab^x

Where:

F(x) = 3^x

3^2 = 9

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Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

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Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

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Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

Answer:

56

Step-by-step explanation:

(84÷3) · 2 = x

28 · 2 = 56

Hope that helps!

Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

Answer:

give me 2 minutes and I will

Let's take 1 of x axis from plot (It has three values in y so much useful)

#A

#B

#C

#D

A and D are out of radar .Now we need to find most approx between B and C

Go to 2 now.(Same 3 values)

#B

#C

65 lies between 60 and 70 ,most approximately equal .

Option C is correct

Answer:

C [tex]y=10x+45[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 45.  So this suggests that option C is the solution.

We can also see that the line of best fit appears to be the same distance from points (3, 75) and (4, 85).  So we can use the slope formula with these points to give a rough estimate of the slope of the line of best fit:

[tex]\sf{slope=\dfrac{y_2-y_1}{x_2-x_1}}=\dfrac{85-75}{4-3}=10[/tex]

Therefore, this concurs that C is the solution and that the closet approximation to the line of best fit is [tex]y=10x+45[/tex]

Answer:

Perhaps 2/5, if I understand your question.

Step-by-step explanation:

i don't understand the format of your question:

"3 6

Х

4 5

OL

Х

?"

Is this meant to be (3/6)*(4/5)  ??

If so:

(3/6)*(4/5) = (12/30)

(12/30) = 6/15

6/1`5 = 2/5

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.

The slope of that line from the centre to the point is -2 based on the slope's equation or formula.

  slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]

Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.

 [tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]

Hope that helps!

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

Answer:

[tex]y = {4}^{x} [/tex]

is the answer

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]

It is required to find the missing value in the second equation.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)

[tex]\rm 6x+3y=12[/tex] ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

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Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]