Evaluate.
- [4.1–3(2.2)]
(-0.2)2
+2
What is the value of the expression?
Enter your answer as a decimal in the box.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$400\\ P=\textit{original amount deposited}\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases}\)

\(400=P\left(1+\frac{0.02}{12}\right)^{12\cdot 8}\implies 400=P\left( \frac{601}{600} \right)^{96} \\\\\\ \cfrac{400}{ ~~ \left( \frac{601}{600} \right)^{96} ~~ }=P\implies 340.90\approx P\)

Answer:

No

Step-by-step explanation:

When two lines are crossed by another line, the angles in matching corners are called corresponding angles. <K and <B do not match this definition, so they are not corresponding angles.

Answer:

NO!

Step-by-step explanation:

K and B are not corresponding angles

They are supplementary angles

In the image there is an example of correspodning angles

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

9 x 7 = 63

6.8 x 10 = 68 divided by 2 = 34

13 + 15 = 28, 28 x  6 = 168 divided by 2 = 84

The Trapezoid.

21.6 divided by 3 = 7.2 I THINK (remember I don't really know if this is the way you learned because i dont think i've learned this)

(I split it into 2 triangles)

2 + 2 = 4

4 x 4 = 16 divided by 2 = 8

4 x 3.2 = 12.8 divided by 2 = 6.4

8 + 6.4 = 14.4

B is your answer

Answer:

we need a picture of the problem

Step-by-step explanation:

Answer:

he's not correct.

-15 = m

Step-by-step explanation:

-16 = -1 + m

-16 + 1 = m

-15 = m

Why does -1 became +1 , It is because you are adding 1 on both side so that we can cancel out the -1 and it will rest the m.

like this;

+1 -16 = -1 + m +1

-16 + 1 = (0 or nothing) + m

-15 = m

Answer:

3x^2-2x-6

Step-by-step explanation:

So first i paid attention in class

second apply to my homework

third step apply too your

<33 ur welcome lol

Answer:

1.019 is the answer

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Yes, the polygons is similar because the ratio of all the sides are same.

A polygon is a closed two-dimensional shape made up of straight line segments, called sides, that are joined at their endpoints, called vertices. The sides of a polygon cannot cross each other, and the polygon must have at least three sides and three vertices.

Here we can make a ratio of the lengths of two corresponding sides of two given polygons with respect to its similar angles. If the ratio will be same for all corresponding sides, then the polygons will be similar.

for polygon RSTU and CDEF

SR/DE = 3/15 = 1/5

TU/CF = 3/15 = 1/5

ST/CD = 3/15 = 1/5

RU/EF = 6/30 = 1/5

Therefore, all the sides ratio are same so, the polygons is similar.

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Therefore, the longest length of pencil that John can hide in the pencil holder is approximately 127.32 cm (rounded to two decimal places).

Given that John has a 100 cm³ pencil holder, the longest length of pencil he can hide in the pencil holder can be found by using the formula for the volume of a cylinder which is given by: V = πr²h where r is the radius of the cylinder and h is the height of the cylinder.The volume of a cylinder can also be expressed as V = lwh where l is the length of the cylinder, w is the width of the cylinder and h is the height of the cylinder.

If we assume that the pencil is cylindrical in shape, then its volume can be given by V = πr²l where r is the radius of the pencil and l is the length of the pencil.Since the volume of the pencil holder is given to be 100 cm³, then we have:100 = πr²h (Equation 1)

Now, we need to find the value of l that can fit inside the pencil holder. We can use the formula for the volume of the pencil to do this as follows:

V = πr²lLet V = 100 cm³ and

r = 0.5 cm

(since the pencil holder is cylindrical in shape, we can assume that it has a radius of 0.5 cm)Then, we have:100 = π(0.5)²lSolving for l, we get:

l = 100 / (π(0.5)²)

l = 100 / (0.7854)l ≈ 127.32 cm

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Answer:

367

Step-by-step explanation:

because of PEMDAS, 3, 4, 5, and 6 have to be multiplied together, then 7 can be added later.

\((3*4*5*6)=360\\\\360+7=367\)

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{3\times4\times5\times6+7}}\\\\\large\boxed{\mathsf{\rightarrow 12 \times 5\times6 + 7}}\\\\\large\boxed{\mathsf{\rightarrow 60\times6+7}}\\\\\large\boxed{\mathsf{\rightarrow 360 + 7}}\\\\\large\boxed{\mathsf{\rightarrow 367}}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{367}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040}}\)

Answer:

36 mph

Step-by-step explanation:

The formula you want to use is:

distance = speed * time

Let's assume

t = time they both drove

j = speed of Jenny

m = speed of Mary

Then you can translate the stated facts into these equations:

240 = j * t

180 = m * t

j = m + 12

Rewrite the first two as:

t = 240/j

t = 180/m

and eliminate t (since they both drove the same time):

240/j = 180/m

Rewrite as (cross multiply):

240m = 180j

Now fill in the third and simplify:

240m = 180(m+12)

240m - 180m = 2160

60 m = 2160

m = 36.

Bonus:

Jenny drove 36+12 = 48 mph

It took them 240/48 = 180/36 = 5 hours

Answer:

There are 22 $10 coins and 21 $20 coins.

Step-by-step explanation:

Let x = the number of $10 coins

Let y = the number of $20 coins

You have two unknows so you need two equations.

x + y = 43

10x + 20y = 640.

Rewrite the first equation solving for x

x + y = 43

x = 43 - y  Substitute 43 - y in for x in the second equation.

10x + 20 y = 640

10(43 - y) + 20y = 640

430 - 10y + 20y = 640  Subtract 430 from both sides of the equation

-10y + 20y = 210  Combine the y's

10y = 210  Divide both sides by 10

y = 21  This is the number of $20 coins.

Substitute 21 in for y in either of the original equations to solve for x

x + 21 = 43  Subtract 21 from both sides

x = 22  This is the number of $10 coin.

Check:

Substitute in 21 for y and 22  for x

x + y = 43

21 + 22 = 43

43 = 43  checks

10x + 20y = 640

10(22) + 20(21) = 640

220 + 420 = 640

640 = 640 Checks

Answer:

  about -4.7622

Step-by-step explanation:

You want the cube root of -108.

Your calculator will tell you the cube root of -108 is about -4.7622.

__

Additional comment

Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.

The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...

  ∛-108 = -3∛4

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The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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After transformation, the point (-1,2) in the image would be (-1,-2)

Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.

First, we must mirror the point (-1, 2) around the line y=-x.

(X, Y) is the rule (-y,-x)

you obtain (-1,2)—>(-2,1) (-2,1)

At this point, you must rotate (-2,1) by 90 degrees.

(X, Y) is the rule ( -y,x)

so (-2,1)—> (-1,-2) (-1,-2)

After transformation, the point (-1,2) in the image would be (-1,-2)

The complete question is,

What is the image point of (-1,2) after the transformation R 90° ry=-x

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Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Edge 2022

The missing statement is corresponding parts of congruent triangles are congruent, the correct option is A.

An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.

The proof for proving ΔPKB is isosceles is as follows

M is the midpoint of and . Midpoints divide a segment into two congruent segments,

Perpendicular lines intersect at right angles, and are right angles.

Right angles are congruent, so . The triangles share , and the reflexive property justifies that .

Therefore, by the SAS congruence theorem

Thus, because CPCTC (corresponding parts of congruent triangles are congruent)

ΔPKB is isosceles because it has two congruent sides.

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Answer:

a+b-c

4+1-5

5-5=0

THE ANSWER IS 0

Answer:

(f o g) (x) = f(g(x)) = f(1) = 2 = 2

(g o f) (x) = g(f(x)) = g (2) = 1 = 1

Step-by-step explanation:

hope that helps!

Answer:5.6 I think

Step-by-step explanation:yea I just minus them and got that so

Answer:

x = 4

Step-by-step explanation:

5.2cm/1.3cm = 4 so it increased/decreased by 4

16cm/4 = 4cm