log(x - 3) + log(x + 4) – log x = log 5

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

[tex]\frac{16}{8}:\frac{8}{8}[/tex]

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

Answer:

D. 0.04

Step-by-step explanation:

Because 400 and 40 are whole numbers. 0.4 is a decimal meaning is 40% and 0.04 is in the hundreds so is 4%

Answer:

[tex] \sf \large \: a = \frac{ - 1}{4} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3/a(−2)−4=20

−4a−6/a=20

Step 1: Multiply both sides by a.

−4a−6=20a

−4a−6−20a=20a−20a(Subtract 20a from both sides)

−24a−6=0

−24a−6+6=0+6(Add 6 to both sides)

−24a=6

−24a/−24=6/−24

(Divide both sides by -24)

a=−1/4

Check answers. (Plug them in to make sure they work.)

a=−1/4

(Works in original equation)

Answer:

Box C

Step-by-step explanation:

First switch the box that's in kilograms into grams. One kilogram=1000 grams. So box C is 1250 grams.

Next divide the amount in each box by the cost of each box.

Box A 500/173=2.89

Box B 750/260=2.88

Box C 1250/435=2.87

So, since box C has the lowest amount when divided, that box has the best value.

Answer:

22m - 5 I believe because I combined the like terms

Answer:

=98m−5

Step-by-step explanation:

Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.

Targets hit 111 222 555

Points 333 666 151515

Plot the ordered pairs from the table.

Are Natalie's points proportional to the number of targets she hit?

Choose 1 answer:

(Choice A)

A

Yes

(Choice B)

B

No

↣ Substitute all domains in the equation for the ranges.

[tex]12x+6y=24[/tex]    

[tex]2x+y=4[/tex]     ↣ Divide the whole equation by 6.

↣ Substitute x = -4 in the equation.

[tex]2(-4)+y=4\\-8+y=4\\y=4+8\\y=12[/tex]

Our range is 12 when x = -4. In the choice there is only one choice that has range value as 12. Therefore, the answer is B.

↣ If you want me to solve for all ranges then you can reply under this. Since there is only one choice that has 12 as range value, I decide not to continue. So If you want me to solve for all ranges then feel free to reply under this. ↣

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

[tex]V_1=length\times breadth\times height[/tex]

[tex]V_1=(8)(6)(4)[/tex]

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

[tex]V_2=\dfrac{1}{3}\times length\times breadth\times height[/tex]

[tex]V_2=(\dfrac{1}{3})(8)(6)(6)[/tex]

The volume of composite figure is

[tex]V=V_1+V_2[/tex]

[tex]V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)[/tex]

It can be written as

[tex]V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)[/tex]

Therefore, the correct option is A.

Answer:

C.

Step-by-step explanation:

Keep, change, flip.

Keep the first number, change the division sign to a multiplication sign, and flip the numerator and denominator of the second number.

Answer:

C. 1/2 * 5/4

Step-by-step explanation:

Reciprocals

Answer:

x = ±7

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+24^2=25^2[/tex]

[tex]x^2+576=625[/tex]

[tex]x^2=49[/tex]

x = ±7

Answer:

x = ±7

Step-by-step explanation:

i did this before

Answer: If you're looking for the value of x, it's 1.

Step-by-step explanation:

Add the numbers. x-10-2x+7=8+x-10-3x--->x-3-2x=8+x-10-3x

Combine like terms. x-3-2x=8+x-10-3x ---> -x-3=8+x-10-3x

Subtract the numbers.-x-3=8+x-10-3x---> -x-3=-2+x-3x

Combine like terms. -x-3=-2+-3x---> -x-3=-2-2x

Rearrange terms. -x-3=-2-2x---> -x-3=-2x-2

Hope that helps!

Step-by-step explanation:

Consider an engineering material of initial length Lo, Area (A), Modulus of elasticity (E) and applied a force P due to which change in the length of the material is δ2 from it’s original length (Lo)

Initial length of the material is Lo. Hence, at time t = 0 when no force applied on the material the length of the material will not change (i.e., at time t=0, δ1 = 0)

Modulus of elasticity of the material:

[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

Area of the material:

[tex]E=\frac{P \cdot L_{o}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

[tex]A=\frac{P \cdot L_{o}}{E\left[\delta_{2}-\delta_{1}\right]}[/tex]

Length of the material:

[tex]E=\frac{P \cdot L_{0}}{A\left[\delta_{2}-\delta_{1}\right]}[/tex]

[tex]L_{0}=\frac{E \cdot A\left[\delta_{2}-\delta_{1}\right]}{P}[/tex]

Answer:

j

Step-by-step explanation:

Answer:

$564.59

Step-by-step explanation:

you divide.

Answer:

[tex]P= x-0.2x[/tex]

Step-by-step explanation:

Step one:

given

Everything at a store is on sale the store offers a 20% discount

The regular price of the t-shirt is $10

Required

The price of an item that cost $x

Step two:

the cost of the discount will be

= 20/100*x

= 0.2x

let the new price be P

[tex]P= x-0.2x[/tex]

Answer:

one

Step-by-step explanation:

y=1

hope this helps

Answer:

one

Step-by-step explanation:

Answer:

When a line segment is bisected into 2 halves, the two halves are equal. In this case, when AB is bisected by CD, AE and BE would be equal and each point on CD should be equidistant from point A and point B. Therefore, AC = AB.

Using a linear function, it is found that:

a) 36 ounces of food were there after 12 days.

b) It took 24 days for the bag to contain 16 ounces of food.

c) The bag weighed 56 ounces before it was opened.

d) It took about 33 days for the bag to be empty.

A linear function is defined according to the following rule:

y = mx + b

In which:

From the graph of the function, we have that:

Hence the function for the amount of food after t days is given by:

A(t) = 56 - 1.6667t.

After 12 days, the amount is given by:

A(12) = 56 - 1.6667(12) = 36 ounces.

From the graph, we have that:

The graph of the function is missing, and is given at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

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The statement is correct. The product of a complex conjugate is always a real number.

Given, if neither a nor b are equal to zero then we have to conclude that which of the following statement accurately describes the product of (a + ib)(a - ib). So, let's proceed to solve the question accordingly.

Now, solve the product of (a + ib)(a - ib), we get

(a + ib)(a - ib) = a(a - ib)+ib(a - ib)

                     = a^2-iab+iab+(ib)^2

                     = a^2+i^2b^2

we know that, i^2 = -1, then

= a^2+i^2b^2 = a^2+b^2

⇒(a + ib)(a - ib) = a^2+b^2

∴ a^2+b^2 will always give a real number.

Therefore, option (d) is correct. The product of a complex conjugate is always a real number.

Learn more in depth about complex numbers here:

https://brainly.com/question/10662770

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Answer:

−6x − 15y − 14q − 21p

Step-by-step explanation:

Let's simplify step-by-step.

−3(2x+5y)−7(2q+3p)

Distribute:

=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)

=−6x+−15y+−14q+−21p

Answer:

=−21p−14q−6x−15y

The equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

−3(2x + 5y) − 7(2q + 3p)

For solving the equation we have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

First, open the bracket and multiply,

=−3(2x + 5y) − 7(2q + 3p)

=(−3)(2x)+(−3)(5y)+(−7)(2q)+(−7)(3p)

=−6x+−15y+−14q+−21p

Rearrange the equation as

=−21p−14q−6x−15y

Thus, the equation −3(2x + 5y) − 7(2q + 3p) is equivalent to −6x − 15y − 14q − 21p.Option A is correct.

Learn more about the equation here,

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Answer:

pog

Step-by-step explanation:

Answer:

1/4=0.25

1/4

1/4=25℅

3/4=0.75

3/4

3/4=75℅

Answer: D. < CBA

Step-by-step explanation:

The class Midpoint =( Lower class limit + Upper class limit )/2

The “midpoint” (or “class mark”) of each class can be calculated as: Midpoint = Lower class limit + Upper class limit /2 . The “relative frequency” of each class is the proportion of the data that falls in that class.

If we look at the question attached below then

Upper class limit = 69

Lower class limit =50

class midpoints= 50+69/2

class midpoint= 59.5

Hence, the Midpoint =( Lower class limit + Upper class limit )/2

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The number of marbles in the bag is illustrated using proportions.

There are 15 basketballs in the bin

The given parameters are:

[tex]\mathbf{B : S = 3 : 1}[/tex]

[tex]\mathbf{S : D = 1 : 4}[/tex]

[tex]\mathbf{n = 40}[/tex]

First, we combine the ratios

[tex]\mathbf{B:S:D = 3:1:4}[/tex]

The number of basketballs is calculated as follows:

[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]

So, we have:

[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]

[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]

[tex]\mathbf{Basketball= 3 \times 5}[/tex]

[tex]\mathbf{Basketball= 15}[/tex]

Hence, there are 15 basketballs in the bin

Read more about ratios and proportions at:

https://brainly.com/question/7810782

Answer:

32

Step-by-step explanation:

4(4^(2)-8)+(25-5^(2))

4(8)+(25-25)

32+0

=32

PEMDAS.

Answer: 6.3

Step-by-step explanation:

Answer:

pretty sure my dude

Step-by-step explanation:    

tbh just use a ruler