Formula to find perimeter of rectangle

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The genotype ratio is:  1   TT : 1   Tt : 0  tt

The phenotype ratio is :  4   Tall :   0   Short

100 percent of the offspring will be tall.

Genotypic ratio is the ratio between the genetic makeup among the offspring population.

On the other hand, the ratio between the offspring population for an observable characteristic is the phenotype ratio.

The given test cross is between a homozygous tall parent and a heterozygous tall parent.

Using a Punnett square,

The result will be as shown below.

                     T                   t

          T        TT                 Tt

           T       TT                 Tt

Genotype :  1   TT : 1   Tt : 0  tt

Phenotype :  4   Tall :   0   Short

100 percent of the offspring will be tall.

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Answer:

18

Step-by-step explanation:

3 3/8 becomes 27/8.

27/8 x 16/3=18

You have to flip 3/16 since you are dividing.

Answer:18

Step-by-step explanation:

3 3/8 devided by 3/16=18

The total number of adult leaders is 11.

When solving a simple equation, think of the equation as a balance, with the equals sign (=) being the fulcrum or center. A simple equation represents a relationship between two terms on either side of an equal sign. Simple equations also follow one or a combination of the four mathematical operations of addition, subtraction, multiplication and division. As mathematics becomes more complex in level, simple equations can become larger with additional terms and variables.

Types of simple equation:

Linear equation are the most common simple equation and typically consist of one or several terms on either side of an equal sign.

Exponential equations contain numerical terms and exponents and sometimes include variables, depending on the type of problem you are solving.

Given:

Number of cub = 28

Number of scouts is 6 more than twice the number of adult leaders

Let C = cub scouts

L = adult leaders

C = 6 + 2L

28 = 6 + 2L

28 - 6 = 2L

22 = 2 L

L = 11

Number of adult leaders are 11.

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1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

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Answer:

2.35 miles

Step-by-step explanation:

Based on the indices of the regular polygons, the number of sides that X has is 8. See the computation below.

Assuming that X has G number of sides; and

Y has H number of sides, this means that:

G-H = 3 ...........1

Recall that the formula for the exterior angles is:

360/n; where n is number of sides

X = 360/G

Y = 360/H

(360/G) + (360/H) = 117°.......2

Solving 1 and 2 simultaneously, we obtain:

G= 8 and

H = 5

Thus, X has 8 sides.

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Answer:

simplify or subtract? ill put the answer in the comments

Step-by-step explanation:

I simplified it this is what i got

−ct3−at2+4t3−2bt−2t2+6t+2

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

The sine expression is given as

sin^4x

The above means

sin x raised to the power of 4

This in other words, the expression is represented as

(sin(x))^4

Express 4 as 2 + 2

(sin(x))^(2 + 2)

Apply the law of indices

(sin(x))^2 * (sin(x))^2

This gives

sin^2(x) * sin^2(x)

Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

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The future value of the investment is equals to $\(32,582.78\).

The number of monthly payments over 4 years is:

= 4 years x 12 months/year

= 48 months.

We will use future value of an annuity formulae to solve which is FV = PMT x [(1 + r)^n - 1] / r

Plugging in the values, we get:

FV = 650 * [(1 + 0.022/12)^48 - 1] / (0.022/12)

FV = 650 * (0.09190014604/0.00183333333)

FV = 650 * 50.1273524766

FV = 32582.7791098

FV = $32,582.78.

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Answer:

n = 3p

Step-by-step explanation:

3n + 2n - 5p = 10p

5n - 5p = 10p

5n = 15p

n = 3p

Answer:

1n = 5p

Step-by-step explanation:

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy.

Step 1: Substitute the expression for the area of the semi-circular cross section into the equation for the volume of the solid:

V = π/2∫0,9r²dy

Step 2: Integrate the equation to find the volume of the solid:

V = π/2[y³/3]|0,9

Step 3: Evaluate the integral:

V = π/2(9³/3 - 0³/3)

step 4: Solve for the volume of the solid:

V = 7π/2

The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy. To calculate the volume, we must first substitute the expression for the area of the semi-circular cross sections into the equation for the volume of the solid: V = π/2∫0,9r²dy. Then, we must integrate the equation to find the volume of the solid: V = π/2[y³/3]|0,9. After that, we must evaluate the integral: V = π/2(9³/3 - 0³/3). Finally, we must solve for the volume of the solid: V = 7π/2. The answer is the volume of the solid is 7π/2.

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By evaluating g(x), we conclude that the correct table is:

The correct table is:

x      g(x)

1         2

2         8

3         14

Here we know that:

f(x) = 3x - 4

And function g(x) is defined as:

g(x) = f(2x) = 3*(2x) - 4= 6x - 4

Evaluating g(x) in the values in the tables, x = 1, 2, 3, etc..., we will get:

g(1) = 6*1 - 4 = 6 - 4 = 2

g(2) = 6*2 - 4 = 12 - 4 = 8

g(3) =  6*3 - 4 = 18 - 4 = 14

Then the correct table is:

x      g(x)

1         2

2         8

3         14

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The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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The expression for the interest earned on each account and the balance after 3 years are;

1) Interest = P(1 + 0.039t)

Balance = $485.90

2) Interest = P(1.039)^(t)

Balance = $487.91

3) Interest = P(1.039)^(t)

Balance = $487.91

4) Interest = 435e^(0.039t)

Balance = $488.99

We are given different formulas for interest and we are told to find the balance of each option after 3 years. Thus, we have;

1) P(1 + rt)

Where;

P is principal = $435

r is rate = 0.039

t is time = 3 years

We have;

Balance = 435(1 + (0.039 * 3))

Balance = $485.90

2) P(1 + (r/n))^(nt)

Where;

P is principal = $435

r is rate = 0.039

t is time = 3 years

n is number of times interest is compounded per year  = 1 (because it is yearly)

Thus;

A = 435(1 + (0.039/1))^(3 * 1)

A = $487.91

3) Same as 2 above

4) P₀e^(rt)

where;

P₀ is principal = $435

r is rate = 0.039

t is time = 3 years

Thus;

A = 435(e^(0.039 * 3)

A = $488.99

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Check the picture below.

Here, we want to subtract g(x) from f(x)

We have this as follows;

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Answer:

6.5 %

Step-by-step explanation:

Full commission would then be   2 * 3152.50 = 6305

Full commission percentage of sale is then:

6305 / 97000   * 100 % = 6.5 %

Answer:

x₁ = x₂ (corresponding angles are equal)

y₁ = y₂ (right angles)

z₁ = z₂

Since the angles in the first triangle are equal to the angles in the second triangle, the two triangles are similar.

Because they are similar, then the ratios of their corresponding sides are  equal:

\(\\\\\frac{9}{h} =\frac{11}{16}\)

h = 9×16/11 = 144/11 = 13 1/11 = 13.09

Answer:

12/60=12/60÷12/12

=1/5

12 minutes=1/5

Step-by-step explanation:

The dilation of the black figure to blue figure is a reduction with a scale factor of 0.5

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

It can either be an enlargement or a reduction.

An enlargement means a scale factor greater than 1 while a reduction is a scale factor less than 1.

Thus, this dilation is a reduction.

Coordinates of initial figure are:

(-8, 10), (10, 10), (8, -8), (2, -8)

Coordinates of dilated figure are:

(1, -4), (4, -4), (-4, 5), (5, 5)

Thus, it is clear that the scale factor is 0.5

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Answer:

30

Step-by-step explanation:

So we know that 9 windows is 30% so then we multiply 30 to get to the closest to 100 which is x3 so its 90%. Then you divide 30 by 9 which is 3.3 and round it to 3.

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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One interpretation is that the girl is using "excuse me" as a polite way to interrupt or divert attention away from the tuba noise.

The joke relies on the double entendre of the girl's response, which adds a lighthearted and comedic twist to the situation.

The joke in this scenario is a play on words.

The girl's response of "Excuse me" is a humorous twist because it can be interpreted in two different ways.

She's pretending not to hear the noise or trying to downplay its significance, as if she didn't notice it or it wasn't a big deal.

This response adds a humorous element to the situation, as it's a clever way for the girl to deflect her mom's inquiry about the unusual sound.

The other interpretation is that the girl's "excuse me" is a literal response to the tuba noise.

In this context, "excuse me" is often used when someone accidentally makes a noise or emits gas (like a burp or a fart) and wants to acknowledge it politely.

By responding with "excuse me," the girl is humorously suggesting that the tuba noise was her own bodily function, rather than the band member's mishap.

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The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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