What is the location of Point F, which partitions the directed line segment from D to E into a 5:6 ratio?

Answer:

Volume = 111.33 in.³

Step-by-step explanation:

The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part

✔️volume of the rectangular prism part:

V = L*W*H

Where,

L = 5.1 in.

W = 3.4 in.

H = 5.9 in.

V = 5.1*3.4*5.9

V = 102.306 in.³

✔️volume of the triangular prism part:

V = ½*b*h*l

b = 6 - 5.1 = 0.9 in.

h = 5.9 in.

l = 3.4 in.

V = ½*0.9*5.9*3.4

V = 9.027 in.³

✅Volume of the shape = 102.306 + 9.027

= 111.333 in.³

≈ 111.33 in.³ (approximated to 2 decimal places)

Answer:

T = 1

Step-by-step explanation:

5 - 2 = 3 since it has to be 3, T = 1, therefore, it will still be 3 and not any other number

Answer:

1

Step-by-step explanation:

3-2=1

(to check: 2+(3x1)= 5)

Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

Step-by-step explanation:

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = \(\frac{1}{0.5}\)

x = 2

The solution of this linear equation is x = 2

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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The value of the range of the exponential function f(x) = 2ˣ + 25 is,

⇒ (25, ∞ )

We have to given that;

the exponential function is,

⇒ f(x) = 2ˣ + 25

Now, We can formulate;

The range of the function is,

⇒ y ∈ (25, +∞)

Hence, The value of the range of the exponential function f(x) = 2ˣ + 25 is,

⇒ (25, ∞ )

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A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

Is this your hw

Step-by-step explanation:

The parts of algebraic expression are monimal, polynimial, binomial, trinomial, and multinomial. An algebraic expression represents all the possible values of variable it consist.

Algebraic Expression- Algebraic expression is the combination of variables, coefficient, constant or all three in a mathematical form  where both side set equal to each other.

Parts of algebraic expression-

The way algebraic expression can express are categorizes in 5 different parts. These are,

        For example  \(ax^2\)

         For example  \(2b+5c\)

        For example   \(5X^2-10y^2\)

        For example   \(ax^2+by^3-xy^2\)

        For example \(a^2+b+c^3+d\)

An algebraic expression represents all the possible values of variable it consist. We use algebraic equation when we do not know the value of variable or unknown things. To find out the values of these variables the algebraic expression are useful.

Hence the parts of algebraic expression are monimal, polynimial, binomial, trinomial, and multinomial. An algebraic expression represents all the possible values of variable it consist.

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The value of 96.1% of 146 is 140.31

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the value of 96.1% of 146.

Convert 96.1% to the decimal value by dividing with 100

96.1/100=0.961

Now multiply 0.961 with the 146 to find the value.

0.961×146

140.306

Hence, the value of 96.1% of 146 is 140.31

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Answer:

C

Step-by-step explanation:

7 - 2 = 5

11 - 3(2)

11 - 6 = 5

4(2) - 3

8 - 3 = 5

C is the only one that doesn't equal 5

Put in the formula

\(\\ \rm\Rrightarrow A=P(1+r)^t\)

\(\\ \rm\Rrightarrow 7255=6000(1+0.055)^t\)

\(\\ \rm\Rrightarrow 1.20917=(1.055)^t\)

\(\\ \rm\Rrightarrow ln1.20917=tln1.055\)

\(\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}\)

\(\\ \rm\Rrightarrow t=3.5years\)

Answer:

4 years (nearest year) or

3.5 years (nearest tenth) or

3 years, 6 months and 17 days (most accurate)

Step-by-step explanation:

Annual Compound Interest Formula

\(\large \text{$ \sf A=P\left(1+r\right)^{t} $}\)

where:

Given:

Substitute the given values into the formula and solve for t:

\(\implies \sf 7255=6000(1+0.055)^t\)

\(\implies \sf 7255=6000(1.055)^t\)

\(\implies \sf \dfrac{7255}{6000}=(1.055)^t\)

Take natural logs of both sides:

\(\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t\)

\(\textsf{Apply the power law}: \quad \ln x^n=n \ln x\)

\(\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)\)

\(\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}\)

\(\sf \implies t=3.547416819...\)

Therefore, the number of years the principal was invested is:

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Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

The lateral surface area of a rectangular prism is 2(l + w)h sq units.

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The lateral surface area of a rectangular prism is given by

Where l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.

Without these values, it is not possible to determine the lateral surface area of the rectangular prism.

Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.

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Answer

116%

hope this helps!!!!!!!!!!!!!!!!!

The height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees is 131.30 cm.

The tangent function in trigonometry describes the relationship between an angle's adjacent and opposing sides. The angle of elevation is the angle formed by a horizontal line and a line leading from the observer's eye to a higher-than-horizontal object. When calculating an object's height with the tangent function, we utilize the angle of elevation and the length of the neighbouring side (in this example, the slanted height) to get the length of the opposing side (the height). As a result, the height of the object increases with increasing tangent value and elevation angle.

Given that, a roof has slanted height of 325 cm and an angle of elevation of 22 degrees.

Using the trigonometric functions:

tan(22) = h / 325

h = 325 * tan(22)

h ≈ 131.30 cm

Hence, the height of a lean-to roof that has a slanted height of 325 cm and an angle of elevation of 22 degrees is 131.30 cm.

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Answer:

\(\frac{1}{3}x+16=37\)

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

First he had x jelly beans

The he ate one-third of them

\(\frac{1}{3}x\)

He then ate 16 more jelly beans

\(\frac{1}{3}x+16\)

This was equal to 37 jelly beans

\(\frac{1}{3}x+16=37\)

This is the equation

Now solve for x

Subtract 16 from both sides

\(\frac{1}{3}x=21\)

Multiply both sides by 3

\(x=63\)

63 Jelly Beans

Answer: 100

Step-by-step explanation: BRAINLIEST

4(4+7) is the equivalent expression uses GCF and Distributive Property to find the sum of to 16+28.

The greatest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x and y. As a result, the greatest common factor is also referred to as the Highest Common Divisor (HCD), the Highest Common Factor (HCF), or the Greatest Common Divisor (GCD).

According to the distributive property, an expression in the form A (B + C) can be solved as A (B + C) = AB + AC. This distributive law also applies to subtraction and is denoted by A (B - C) = AB - AC. This means that the other two operands share operand A.

The given expression is 16 + 28.

The greatest common factor is 4.

So taking the greatest common factor from the both the numbers.

We get, 4 (4+7)

So the resultant expression is 4 (4+7).

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Answer:

b:3=3

⇒b=1

a:b=3

⇒a:1=3

⇒a=1/3

Step-by-step explanation:

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

C

(second to bottom)

since it has 3 out of 10 ticks marked

and 30% = 3/10

Answer:

w=2

Step-by-step explanation:

1. You need to distribute your -3 and 6

2. After you do your distributing the numbers, the equation would be -15w+12=12w-42

3. You need to make x to the right or left and it look like 27w=54

4. Solve for x

5. The answer is w=2

Answer: 4

Step-by-step explanation: Daniels median is 16, and Sam’s median is 12. The difference eternal the two values is 4.