Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x 7) = 3. Log Subscript 2 Baseline left-bracket x (x 7) right-bracket = 3. X (x 7) = 2 cubed. X squared 7 x minus 8 = 0. (x 8) (x 1) = 0. X = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8.

The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]

[tex]P = $225093.358[/tex]

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

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The students surveyed have at least one sibling are 65%.

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

Answer

C. 49 fl oz

Step-by-step explanation:

I took the quiz.

Answer:

A. 1.99 ounces

Step-by-step explanation:

Ramsey's weights is less than gerbil so if gerbil weights is 2.04 so  B is 2.3 is not correct C and D are not less than Ramsey's weights so the answer is A

Answer:

6(3x-2)

You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).The expression which is equivalent to the given expression isWhat are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.The given expression is It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6 Thus,we can write it as (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.(The given options are not correct, or it might be that the given expression is not written correctly).Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in Thus,The expression which is equivalent to the given expression is

6(3x-2)

Answer:

4 feet

Step-by-step explanation:

the 9 part of the ratio relates to 18 feet , then

18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then

2 parts = 2 × 2 feet = 4 feet ← length on scale drawing

Answer:

x=21

Step-by-step explanation:

We know that the angles of a triangle has a sum of 180 degrees always. We know two sides already which are 45 and 63. Their sum is 108 degrees which means that the missing side is 180-108 which is 72.

Now we can set 72 equal to 4x-12 since the last side has to equal 72 and solve.

72=4x-12

84=4x

x=21

Hope this helps!!!

Answer:

We know that the slope or rate of change of the function can be:

positive

negative

zero, or

undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

We know that the slope or rate of change of the function can be:

positive

negative

zero, or undefined

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is  y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

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Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

Answer:

3

Step-by-step explanation:

adding subtraction multiplication and division

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

9-R= C

hope this helps :)

The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is x² + y² + 4x – 8y + 11 = 0

Add 9 on both sides of the equation, then we have

x² + y² + 4x – 8y + 11 + 9 = 9

x² + 4x + 4 + y² – 8y + 16 = 9

             (x + 2)² + (y – 4)² = 3²

The center of the equation is (–2, 4).

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Answer:

A. (-2, 4)

Step-by-step explanation:

i did it B)

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

Here we go ~

[tex]\qquad \sf  \dashrightarrow \:48200[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]

Answer:

3(y+1)!

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find the diameter you can just multiply the radius by 2:

7 x 2 = 14
Hope this helps :)

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

Here's we go ~

We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :

[tex]\qquad \sf  \dashrightarrow \:d = 2r[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 2 \times 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 14 \: cm[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

Answer:

107 should be your answer

Step-by-step explanation:

so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.

Answer:

mom mom mom mom mom mom b mom

Answer:

don't get mad at is i don't get this right

i think it would be D

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

See below ↓

Step-by-step explanation:

Missing values (a)

Curve which matches the equation

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

Answer: 2.83

Step-by-step explanation:

2.66+1.85+2.66 = 7.17

10.00 - 7.17 = 2.83

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

Given here,

Mean (μ) = 3 years 6 months

= (3×12)+6 = 42 months

Standard deviation (σ) = 9 months

We will find the z-score using the formula: z = (X - μ)/σ

Here X₁ = 2 years 3 months

= (2×12)+3 = 27 months

and X₂ = 3 years 3 months

= (3×12)+3 = 39 months

So, z (X₁ =27) =

and z (X₂ =39) =

According to the standard normal table,

P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707

So, P(27 < X < 39)

= 0.3707 - 0.0485

= 0.3222

= 32.22 % [Multiplying by 100 for getting percentage]

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

A normal distribution is a continuous probability distribution that describes a symmetric, bell-shaped curve of data.

It is also known as a Gaussian distribution or a bell curve.

The normal distribution is used to model many real-world phenomena, such as measurements of height, weight, blood pressure, and IQ scores, among others.

We have,

To solve this problem, we first need to standardize the values of 2 years 3 months and 3 years 3 months, using the mean and standard deviation of the distribution.

The mean of the distribution is 3 years 6 months, which is equivalent to 3.5 years, and the standard deviation is 9 months, which is equivalent to 0.75 years.

The standardized value of 2 years 3 months is:

z1 = (2 + 3/12 - 3.5) / 0.75 = -1.33

The standardized value of 3 years 3 months is:

z2 = (3 + 3/12 - 3.5) / 0.75 = -0.33

We can now use the standard normal table to find the probability of a randomly selected hard drive lasting between 2 years 3 months and 3 years 3 months.

P (-1.33 ≤ Z ≤ -0.33) = P(Z ≤ -0.33) - P(Z ≤ -1.33)

From the standard normal table, we find that:

P(Z ≤ -0.33) ≈ 0.3708

P(Z ≤ -1.33) ≈ 0.0918

Now,

P(-1.33 ≤ Z ≤ -0.33) ≈ 0.3708 - 0.0918 = 0.279

Thus,

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

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The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The given equation is,

[tex]2(x+ 3)^2 - 4 = 0[/tex]

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]

On comparing with standard equation we get,

[tex]a=1, b=6, c=7[/tex]

Put this values in the above formula,

[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

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Explanation:

Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)

Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.

This notation can be shortened to <9, 0>

In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).