Condense the expression log 2x + log(x² - 9) - log x +3

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

According to given question, Angle z and 124° forms linear pair,

so,

[tex]\qquad \sf  \dashrightarrow \: 124 \degree + z = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow z = \: 180 \degree - 124\degree[/tex]

[tex]\qquad \sf  \dashrightarrow z = \: 56 \degree [/tex]

[tex]\huge\textbf{TheStarryNights }[/tex]Hi There!

Solve the Inequality:

2x-1≤x+5

Move all the variables (in this case, x's) to the left, using the opposite operation:

2x-x-1≤5

Move -1 to the left:

2x-x≤5+1

Combine like terms:

x≤6 (Answer)

[tex]\huge\textbf{TheStarryNights}[/tex]

Answer:

1. The cylinder has a greater volume of 352 cm to 240 cm for the rectangular prism. Work shown below. Place into your own words.

2. The cylinder has a greater surface area than the rectangular prism at 276 cm instead of 268 cm. Work shown below. Place into your own words.

Step-by-step explanation:

First you have to know the formula for the Volume of the objects

For rectangular prism its: Width x Length x Height

For a cylinder its: Height x pi x Radius^2

With this information you can plug in the information that you already have

For rectangular prism: 10 cm x 8 cm x 3 cm = 240 cm

For the cylinder you have to find radius since its not given to you, while your diameter is, so your radius is diameter/2

For the cylinder: 7 cm x pi (3.14) x 4 cm^2 = 351.858 or 352 cm

1. So therefore, the cylinder has a greater volume because it is greater in centimeters

For the second question, the formula are changed since its now asking for Surface Area

You have to remember that surface area is all the surfaces that are outside the prism, or all the surfaces of the object

Surface Area formula for a rectangular prism is: 2( wl + hl + hw)

Surface Area formula for a cylinder is: 2πrh+2πr^2

All you have to do now is plug in your information

SA for rectangular prism: 2 ((10x8) + (3x8) + (10x3)) = 2 ((80) + (24) + (30)) =

2 (134) = 268 cm

SA for a cylinder: 2 x pi (3.14) x 4 x 7 + 2 x pi (3.14) x 4^2 = 175.929 + 100.531 = 276.460 or just 276 cm

So once again, the cylinder has a greater surface area than the rectangular prism

Answer:

Loaves of bread: b can't be a negative value, then the first table doesn't include viable solutions.

The number of loaves of bread must be a whole number, then the second table doesn't include viable solutions.

c=3.5b

if b=0→c=3.5(0)→c=0

If b=3→c=3.5(3)→c=10.5

If b=6→c=3.5(6)→c=21

If b=9→c=3.5(9)→c=31.5

The third table includes viable solutions

xy+x+y+1

x(y+1) +1(y+1)

(y+1)(x+1)=0

y+1=0 and x+1=0

x=-1 and y=-1

factor are (y+1) and (x+1)

Answer:

0.75

Step-by-step explanation:

.75

First you divided 29/4 which equal 7.25. then you subtract 7.25 from 8 because that's what we need to figure out. This equals .75 .

WELCOME :)

Answer: y = 4x + 5

Step-by-step explanation:

Rearranging 4x-y = 1 we get y = 4x-1 as the equation of the line.

Since the new line is parallel to y=4x-1, that means the slopes are equal. Therefore, the slope of the line is 4.

So, the equation of the line is y = 4x+b

To figure out b, we can plug in the point (-2,-3) into the equation.

So -3 = -2*4 + b

-3 = -8 + b

And we get b = 5.

Therefore, the equation of the line is y = 4x + 5

Answer:

y = 4x + 5

Step-by-step explanation:

First, we need to find the slope of the given equation: 4x - y = 1

Subtract 4x from both sides

4x - y = 1

- 4x      - 4x

-y = 1 - 4x

Divide both sides by -1 to make the y variable positive

-y/-1 = (1 - 4x)/-1

y = -1 + 4x

This means the slope of this equation is 4

Our parallel equation will be y = 4x + b

Plug in the given coordinates

-3 = 4(-2) + b

-3 = -8 + b

Add 8 to both sides

-3 = -8 + b

+ 8   + 8

b = 5

Plug in the new b into the original parallel equation

y = 4x + 5

Answer:

Ed would earn $4480

Step-by-step explanation:

you could solve this by ratios

make x = the amount of money he would earn if he worked 40 hrs

step 1: write the ratio

112/8 = x /40

step 2: cross multiply

8x = 4480

step 3: isolate x by dividing

8x/8 = 4480/8

answer: x = 560

Answer:

4 5/32

Step-by-step explanation:

Hope this helps, if it does, can I have brainliest?

Answer: D

Step-by-step explanation:

The correct answer is D because absolute value is the distance a number is from 0, which in this case is 16. Absolute value cannot be negative as a distance cannot be negative.

Answer:

D

Step-by-step explanation:

absolute value is how far it is from 0, so any negative number is just the same number but positive. think of it like distance, something can be 10 inches to the right, or to the left. absolute value doesn't care which direction it goes, noon y absolute would call the left -10

Answer:

Calculando una fracción decimal : 0.4=410.

El resultado del cálculo es : 0.4=25.

Step-by-step explanation:

espero que ayude

4/10

0.4/1 * 10

= 4/10

Marcus's prediction for the number of total spins before the letter E appears 6 times is C. 24 spins.

From the information given, the The spinner has 4 equally sized sections labeled E, F, G, and H and spinning an E six times means the game is over.

Therefore, the prediction will be:

= 4 × 6

= 24

In conclusion, the correct option is 24.

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Answer: The answer is C 24 spins

Explanation: I took the test and it was right

Hope this helps

Answer:  2 3/10

Step-by-step explanation: I got it correct on k12 .

The value of Z is 2.3 (as a decimal) or 2 3/10 (as a mixed number in simplest form).

The diameter of a circle or sphere is the length of a straight line that passes through the center of a body or figure, notably a circle or sphere.

The diameter of the circle is 11 4/5 ft, which can be written as:

11 4/5 ft = 11 + 4/5 ft = (11 x 5)/5 + 4/5 ft = 55/5 + 4/5 ft = 59/5 ft

The formula to calculate the radius of a circle using the diameter is:

radius = diameter/2

So, the radius of the circle is:

radius = (59/5)/2 = 59/10 ft

Now, we can use the given expression to represent the radius in terms of Z:

radius = Z + 3.6

Substituting the value of the radius, we get:

59/10 = Z + 3.6

Subtracting 3.6 from both sides, we get:

59/10 - 3.6 = Z

Multiplying both sides by 10, we get:

Z = 59/10 - 36/10

Z = 23/10

Therefore, Z = 2 3/10.

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Answer: 550 calories

Answer:

Correct answer is: 590

Step-by-step explanation:

Just took the test

Answer:

those should be the answers which you are looking for

Step-by-step explanation:

Answer:

  240

Step-by-step explanation:

To evaluate the expression for specific numerical values, put the numbers in place of the corresponding variables, and do the arithmetic. A calculator or spreadsheet can help you with this.

  p^2q^2+pq–q^3–p^3

  = 4²(-4)² +4(-4) -(-4)³ -4³

  = 4⁴ -4² +4³ -4³

  = 4²(4² -1) = 16(15) = 240

The value of the expression is 240.

Using simple interest, it is found that his salaries are as follows:

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, considering the time from the beginning of 2018, and the interest rate of r = 0.11, his salaries for each year are given by:

[tex]A(1) = 17.1[1 + 0.11(1)] = 18.981[/tex]

[tex]A(2) = 8.9[1 + 0.11(2)] = 10.858[/tex]

[tex]A(3) = 7.5[1 + 0.11(3)] = 9.975[/tex]

[tex]A(4) = 8.25[1 + 0.11(4)] = 11.88[/tex]

[tex]A(5) = 8.25[1 + 0.11(5)] = 12.7875[/tex]

Hence, his salaries are as follows:

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Answer:

I think 3/6 or 3/12

Step-by-step explanation:

because either way we are adding 1/6+2/6=3/6

Answer:

4 are eating sandwhiches and 2 are eating salads

Step-by-step explanation:

1/6 of 12 is 2 2/6 of 12 is 4

Answer:

78y+26

Step-by-step explanation:

Area = LW

(3y+1)(26)

78y+26

Answer:

76y + 26 miles²

Step-by-step explanation:

A = L x W

A = 26 x (3y + 1)

A = (76y + 26) miles²

I hope this helped!

Answer:

Reflection, Translation

Congruent, reflections, and translations

Step-by-step explanation:

You reflect it diagonally and translate it by 3 units down.

Reflecting diagonally gives you the grayed-out shape, and translating it 3 units down will give you Figure E.

The shape is the same because no changes in size were used.

-Chetan K

The statement that is true about mass are:

The mass is the physical measuring quantity that measures the weight or body inertia of a substance.

It also pinpoints the strength of an object's gravitational abstraction to other bodies.

The unit of mass can be expressed in;

A kilogram usually contains 1000 grams. Thus, we can conclude that:

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Answer:

A.1.1-1=1

2.22-2=20

3.20-10=10

4.23-12=8

5.200-50=150

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Here's the solution ~

Area of a Trapezoid is :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times (sum \: of \: parallel \: sides) \times height = 133 \: c {m}^{2} [/tex]

so ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times ((x + 5) + (3x - 2)) \times (2x - 3) = 133 \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times (x + 5+ 3x - 2) \times (2x - 3) = 133 \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times (4x + 3) \times (2x - 3) = 133 \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times(8 {x}^{2} - 12x + 6x - 9) = 133 \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \times(8 {x}^{2} - 6x - 9) = 133 \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: (8 {x}^{2} - 6x - 9) =( 133 \times 2)\: [/tex]

[tex]\qquad \sf  \dashrightarrow \: 8 {x}^{2} - 6x - 9 =266\: [/tex]

[tex]\qquad \sf  \dashrightarrow \: 8 {x}^{2} - 6x - 9 - 266 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: 8 {x}^{2} - 6x - 275 = 0[/tex]

hence, we got the required equation ~

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(Sum\:of\: parallel\:sides)(Height)=133[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(x+5+3x-2)(2x-3)=133[/tex]

[tex]\\ \rm\hookrightarrow 4x+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 4x(2x-3)+3(2x-3)=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-12x+6x-9=266[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-6x=266+9[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-6x=275[/tex]

[tex]\\ \rm\hookrightarrow 8x^2-6x-275=0[/tex]

Answer:

Step-by-step explanation:

First convert km to meters

143000 km = 143,000,000m = 1.43*10^8 m

Now convert 10 billion to scientific notation1  00

10 billion = 1 * 10^10

What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.

Now show what the ratio is for

1.43*10^8

========          Divide by the denominator

1 * 10^10

1.43 * 10^(8 - 10)

1.43 * 10 ^ - 2               meters

Answer: 0.0143m or B

Answer: the first one, top left corner

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

To determine that, we must check which of the table has a constant rate of change

Looking at the last table;

Slope = -4-(-2)/2-1

Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Hence, the last table has a constant slope of -3, hence it represents a linear function.

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