Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?

Answer:

Step-by-step explanation:

There are 19 - 5 = 14 students between the number 5 and 19, either side, so the total number is:

Answer:

\(\frac{m}{6}\) = -9            6 × (-9) = -54

Step-by-step explanation:

Answer:

5(x+3) is the equation because 5x+15

The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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There are various techniques to simplify algebraic expressions, including:

1. Combining like terms: In an algebraic expression, like terms are terms that have the same variable raised to the same power. To simplify the expression, we can combine these like terms. For example, in the expression 3x + 2y + 5x - 4y, we can combine the x terms and the y terms to get 8x - 2y.

2. Distributing: When a number or variable is outside a set of parentheses and is being multiplied by a sum or difference inside the parentheses, the number or variable can be distributed to each term inside the parentheses. For example, in the expression 3(x + 2), the 3 can be distributed to both x and 2, resulting in the simplified expression 3x + 6.

3. Simplifying exponents: When an expression contains exponents, rules of exponentiation can be used to simplify the expression. For example, in the expression x^2 * x^3, the exponents can be added to give x^(2+3) = x^5.

4. Factoring: When an expression contains common factors, those factors can be factored out. For example, in the expression 2x^2 + 4x, both terms have a factor of 2 and a factor of x, so these factors can be factored out to give 2x(x + 2).

Answer:

24.04 litres

Step-by-step explanation:

petrol distance

8 549

x 1650

cross multiply.

8 × 1650 = 549 × x

13200 = 549x

549 549

549 cancels 549 leaving x. and what you do to one side of the equation, you have to do to the other side so 13200 divided by 549 is 24.04litres

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

Answer:

41.5675675676km/hour or 41.57km/hour

Step-by-step explanation:

158÷3.7=41.5675675676  or 41.57

Answer:

G=32 B=55

Step-by-step explanation:

55+32=87

I know this answer is right bc I got it right on my ws.

Answer:

133°

Step-by-step explanation:

 supplementary angeles sum 180°

a = 3b - 8. Eq. 1

a + b = 180. Eq. 2

Replacing Eq.1 in Eq.2

(3b - 8) + b = 180

3b + b = 180 + 8.

4b = 188

b = 188/4.

b = 47°

From Eq. 1:

a = 3b - 8.

a = 3*47 - 8.

a = 141 - 8.

a = 133°

then:

133>47

The larger anglel is:

133°

Answer:

200 cm (or 2 meters) or 80% of the original 250 cm is left.  let me know if you have any questions.  

Step-by-step explanation:

I'm not sure if that's asking for an exact amount or percent, so I will do both.

The trick either way is to match units.  we have meters and centimeters.  You could make either one match the other.  so 2.5 m is 250 cm and 50 cm is .5 m.

You do have to know how many centimeters is in a meter, but once you know that you can set up unit conversions, which are super simple.

there are 100 cm in a m.  a unit conversion is basically a fraction that cancels out units.  starting with 2.5 m we want to cancel out m so the fraction we use has the m part in the denominator.  so 2.5m * (100 cm)/(1 m).  (100 cm)/(1 m) is the unit conversion, and just like variables the m in the denominator cancles out the m in the starting value so it turns into 2.5 * 100 cm/1 = 250 cm.

similarly to go from 50 cm to meters you make the unit conversion have cm in the denominator.  so 50 cm * (1 m)/(100 cm) = .5 m.  again, the cm int he denominator cancels out the cm in the unit being multiplied.  Let me knwo if this is still not clear.

Anyway, now we have the numbers we need.  let's make them all cm, I think using the smallest unit is usually easiest.  so that's 250 cm total and 50 cm used.

In pure numbers, that means 200 cm is left (which is 2 meters) after 50 cm gets used.

percents is a little trickier.  if 250 is 100% then 50 is 20%, which you can get by doing 50/250.  if you do not know, a fraction a/b gives you the percent a is of b.  Or rather it gives you a decimal, and if you multiply it by 100 it gives you the percent.

anyway, if 20% is used then 80% is left.  if you did 200/250 you would get that.

Step-by-step explanation:

the midpoint has actually the coordinates that are halfway between the x coordinates and halfway between the y coordinates.

so, whatever we have to subtract from T to get to the midpoint, we have to subtract again to get to S.

for x we get

10 - 5 = 5

so, we need to subtract another 5 for the x coordinate of S.

that is then 5 - 5 = 0.

for y we get

19 - 29 = -10

so, we need to subtract another 29 for the y coordinate of S.

that is then -10 - 29 = -39

S = (0, -39)

Answer:

Step-by-step explanation:

120n=2400+60n is break-even point

60n=2400

n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

Answer:

x = -15/-3

Step-by-step explanation:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

a. The determinant of A is nonzero (-2 ≠ 0), the system of equations has a unique solution for all values of k.

b. For values of k less than 3, the system of equations has no solution.

c. There are no values of k for which the system of equations has infinite solutions.

To determine the values of k for which the given system of simultaneous equations has a unique solution, no solution, or infinite solutions, let's consider each case separately:

a. To find the values of k for which the equations have a unique solution, we need to check if the determinant of the coefficient matrix is nonzero. If the determinant is nonzero, it means that the equations can be uniquely solved.

To compute the determinant, we can write the coefficient matrix A as follows:
A = [[2, 4, -2], [2, 5, -(k+2)], [-1, k-5, 1]]

Expanding the determinant of A, we have:
det(A) = 2(5(1)-(k-5)(-2)) - 4(2(1)-(k+2)(-1)) - 2(2(k-5)-(-1)(2))

Simplifying this expression, we get:
det(A) = 10 + 2k - 10 - 4k - 4 + 2k + 4k - 10

Combining like terms, we have:
det(A) = -2

Since the determinant of A is nonzero (-2 ≠ 0), the system of equations has a unique solution for all values of k.

b. To find the values of k for which the equations have no solution, we can check if the determinant of the augmented matrix, [A|B], is nonzero, where B is the column vector on the right-hand side of the equations.

The augmented matrix is:
[A|B] = [[2, 4, -2, 4], [2, 5, -(k+2), 3], [-1, k-5, 1, 1]]

Expanding the determinant of [A|B], we have:
det([A|B]) = (2(5) - 4(2))(1) - (2(1) - (k+2)(-1))(4) + (-1(2) - (k-5)(-2))(3)

Simplifying this expression, we get:
det([A|B]) = 10 - 8 - 4k + 8 - 2k + 4 + 2 + 6k - 6

Combining like terms, we have:
det([A|B]) = -6k + 18

For the system to have no solution, the determinant of [A|B] must be nonzero. Therefore, for no solution, we must have:
-6k + 18 ≠ 0

Simplifying this inequality, we get:
-6k ≠ -18

Dividing both sides by -6 (and flipping the inequality), we have:
k < 3

Thus, for values of k less than 3, the system of equations has no solution.

c. To find the values of k for which the equations have infinite solutions, we can check if the determinant of A is zero and if the determinant of the augmented matrix, [A|B], is also zero.

From part (a), we know that the determinant of A is -2.

Therefore, to have infinite solutions, we must have:
-2 = 0

However, since -2 is not equal to zero, there are no values of k for which the system of equations has infinite solutions.

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Answer:

Please find attached the required graph created with Microsoft Excel

4. The solution is x = -1, y = -2

5. Both equations represent the same line and the system of equation has Infinitely many solutions

6. The system of equation represent two parallel lines, therefore, the system of equation has no solutions

Step-by-step explanation:

4. The given system of equation are;

y = -3·x - 5...(1)

y = 9·x + 7...(2)

Equating both values of y from the two equations, gives;

9·x + 7 = -3·x - 5

12·x = -5 - 7 = -12

x = -12/12 = -1

x = -1

y = 9·x + 7 = 9 × (-1) + 7 = -2

y  = -2

5. y = -2·x - 5...(1)

6·x + 3·y = -15...(2)

Substituting the value of 'y' from equation (1) in equation (2), gives;

6·x + 3·y = 6·x + 3 × (-2·x - 5) = -15 = -15

Therefore, equations (1) and (2) are the same and has infinitely many solutions

6. y = -4·x + 3

8·x + 2·y = 8

Substituting the value of 'y' from equation (1) in equation (2), gives;

8·x + 2·y = 8·x + 2×(-4·x + 3) = 6

However, 8·x + 2·y = 8, therefore, equations (1) and (2) do not intersect and they have no common solution.

180-135=45

45/180 ×100

25%

The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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Answer: 12501.31 cm^

Step-by-step explanation:

volume of sphere=4/3 π r^3

 =4/3*3.14*14.4*14.4*14.4

=12501.31 cm^3

The numerical expression that is equivalent to (4/5−3/8)+(−2/3−4/5) is -77/120. Alternatively, this expression can also be written as -0.64167 or -64.167%.

To solve this problem, we need to combine the like terms. First, we need to find the common denominator of the fractions in the expression. The smallest common denominator for 5, 8, and 3 is 120. We can then rewrite each fraction with 120 as the denominator.

(4/5 - 3/8) = (32/40 - 15/40) = 17/40
(-2/3 - 4/5) = (-400/600 - 240/600) = -640/600 = -32/30

Now we can substitute these equivalent expressions back into the original equation:

(4/5−3/8)+(−2/3−4/5) = (17/40) + (-32/30)

We can simplify this expression by finding the least common multiple (LCM) of 40 and 30, which is 120. We can then rewrite each fraction with 120 as the denominator.

(17/40) = (51/120)
(-32/30) = (-128/120)

Now we can substitute these new fractions back into the expression:

(51/120) + (-128/120) = -77/120

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Answer:

(5 + 2x + 4 + 3)/4 = 5

(12 + 2x)/4 = 5

3 + 1/2x = 5         (multiply by 2

6 + x = 10

x = 4

The numbers are 5, 8, 4 and 3.

Step-by-step explanation:

enjoy ;) *debby smirk*

Answer:

Step-by-step explanation:

∵ the properties of rhombus, all sides are equal.

∴MA=MQ

 MA=12

Answer:

A = 93.31 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 6.2, b₁ = 7.8, b₂ = 14.7 + 7.6 = 22.3 , then

A = \(\frac{1}{2}\) × 6.2 × (7.8 + 22.3) = 3.1 × 30.1 = 93.31 ft²

In order to calculate the Mean Squared Error (MSE) for each region, you will need to have a dataset with values for each region.

Once you have this dataset, you can calculate the MSE using the following formula:

MSE = 1/n x ∑(yi - ŷi)²

where n is the number of data points in the region, yi is the actual value for the ith data point, and ŷi is the predicted value for the ith data point. Once you have calculated the MSE for each region, you can compare the values to determine if the variability around the fitted regression line is approximately the same for each region.

If the MSE values are similar for each region, then the variability around the fitted regression line is approximately the same. If the MSE values are different for each region, then the variability around the fitted regression line is not the same for each region.

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Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in