How to solve 3x - 1 = -7

The surface area of the toy that is yellow is 847.8 inches², to the nearest tenth.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A square pyramid is a three dimensional object with one square base and 4 four triangular lateral faces.

Total surface area of the pyramid = Area of the base + 4(area of triangular face)

Base length = 24 inches

Base area = 24² = 576 inches²

Height of the pyramid = 20 inches

The slant height, l of the triangle can be found as,

l = [tex]\sqrt{(\frac{a}{2} )^2+h^2}[/tex], where a is the length of the base and h is the height.

l = [tex]\sqrt{12^2+20^2}[/tex]

 = √544

 = √(34 × 16)

 = 4√34 inches

Area of 4 triangular faces = 4 ([tex]\frac{1}{2}[/tex] × 24 × 4√34)

                                           = 2 × 24 × 4√34

                                           = 192√34 inches²

Total surface area = 192√34 inches² + 576 inches²

                              = (192√34 + 576) inches²

                              = 1695.5428 inches²

Surface area of toy that is yellow = 1695.5 / 2 = 847.8 inches², to the nearest tenth.

Hence the surface area of the yellow part of toy is 847.8 inches², to the nearest tenth.

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Answer:

Step-by-step explanation:

The expression "11 increased by twice Grogan's height" can be written as:

11 + 2Grogan's height

For example, if Grogan's height is 5 feet, the expression would be:

11 + 2(5) = 11 + 10 = 21

A negative number that have a value greater then 8 does not exist

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

negative number that have a value greater then 8

The number 8 is a positive number

As a general rule:

No negative number is greater than a positive number

Hence, the negative number does not exist (DNE)

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The sides n and s of the given similar triangles are 12 and 10 respectively.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

The polygon with three sides is a triangle. The prerequisites for a triangle's similarity are that the corresponding angles on both triangles must be equal, and the corresponding sides must be proportional to one another.

In the given figure both triangles are similar triangles.

So according to the properties of similar triangles,

[tex]\frac{15}{s} = \frac{9}{6}=\frac{n}{8}[/tex]

Solving the above equations,

15/s = 9/6

s = 10

n/8 = 9/6

n = 12

Therefore the sides n and s of the given similar triangles are 12 and 10 respectively.

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Answer:

1. -23

2. -20

3. 20

4. 23

Step-by-step explanation:

For the triangle ABC the interior angles measures ∠A = 80°, ∠B = 58°, and ∠C = 42°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

According to the angles of a triangle theorem, the sum of angles of a triangle is 180°.

The measure of ∠A = 80°.

The measure of ∠B = 8x + 2.

The measure of ∠C = 6x.

The equation is -

∠A + ∠B + ∠C = 180°

Substitute the values into the equation -

80° + 8x + 2 + 6x = 180

Collect the like terms -

8x + 6x = 180 - 80 - 2

14x = 98

x = 98/14

x = 7°

So, the measure of ∠B = 8(7) + 2 = 58°

The measure of ∠C = 6(7) = 42°

The interior angles of the triangle are 80°, 58° and 42°.

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Match each quotient of the complex numbers accordingly as shown below.

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1. The real part of a complex number is represented by a, while the imaginary part is represented by bi.

No. 1

Multiply the numerator and denominator by 3-4i:

1/(3 + 4i) = 1/(3 + 4i)  * (3 - 4i)/(3 - 4i)  

             =  (3 - 4i)/(9 + 16)

             =  (3 - 4i)/25

             =  3/25 - 4/25 i

No. 2

Multiply the numerator and denominator by 3+4i:

1/(3 - 4i) = 1/(3 - 4i)  * (3 + 4i)/(3 + 4i)  

             =  (3 + 4i)/(9 + 16)

             =  (3 + 4i)/25

             =  3/25 + 4/25 i

No. 3

i/i = 1

   = 1 + 0i

No. 4

Multiply the numerator and denominator by 3-4i:

(3 - 4i)/(3 + 4i) = (3 - 4i)/(3 + 4i) * (3 - 4i)/(3 - 4i)

                       = (9 - 24i -16) / (9 + 16)

                       = (-7 - 24i) / 25

                       = -7/25 - 24i/25

No. 5

(3 - 4i)/ 1 = 3 - 4i

No. 6

Multiply the numerator and denominator by 3+4i:

(3 + 4i)/(3 - 4i) = (3 + 4i)/(3 - 4i) * (3 + 4i)/(3 + 4i)

                       = (9 + 24i -16) / (9 + 16)

                       = (-7 + 24i) / 25

                       = -7/25 + 24i/25

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Answer:

16+X is the answer because 16 has no variable beside it X is also standing on it's own so they can't even group like terms

Answer:

Step-by-step explanation:

The coordinates of R are (2,3) which represents an intersecting point of the given lines.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The lines are given in the question, as follows:

y = x+1 ...(i)

x+2y = 8  ...(ii)

Since both lines intersect at R.

Substitute the value of equation (i), in (ii), and we get

x+2(x+1) = 8

x + 2x + 2 = 8

3x = 8 - 2

3x = 6

x = 2

Substitute the value of x = 2 in equation (i),

y = 2 + 1

y = 3

Thus, the coordinates of R are (2,3).

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The question seems incomplete, the correct question would be as:

If the lines y=x+1 and x+2y=8 intersect at R, find the coordinates of R. Show this the coordinate plan.

Answer:

Step-by-step explanation:

I gotchu.

sinS = 2/9

S = sin^-1(2/9)

S = 12.84 = 321/25 or 12 21/25

The area of the lateral surfaces will be 192.55 square centimetres.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the prism in a two-dimensional plane is called as the area of the prism.

Given that there is a triangular prism having sides the height of the triangular side is 4.3 cm and its base is 5 cm.

The lateral surface area will be calculated as:-

SA = 2 x ( 5 x W ) + 10 x 50 + ( 1 / 2 ) x 5 x 4.3

W = √ ( 5² + 4.3²)

W = √43.49

W = 6.59 cm

SA = 2 x ( 10 x W ) + 10 x 50 + ( 1 / 2 ) x 5 x 4.3

SA = 2 x ( 10 x 6.59 ) + 10 x 5 + ( 1 / 2 ) x 5 x 4.3

SA = 131.8 + 50 + 10.75

SA = 192.55 square centimetres

Therefore, the area of the prism will be 192.55 square centimetres.

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It is important to check that the number of successes and number of failures in each sample is at least 10 because this helps ensure that the normal approximation of the binomial distribution is accurate.

When constructing a confidence interval for the difference between two population proportions, it is important to check that the number of successes and the number of failures in each sample is at least 10 because this helps ensure that the normal approximation of the binomial distribution is accurate. The normal approximation is often used in constructing confidence intervals for proportions because it simplifies the calculations, but it is only accurate if the sample size is large enough.

A common rule of thumb is that each sample should have at least 10 successes and 10 failures in order to ensure that the normal approximation is reasonable. This is because the Central Limit Theorem states that the sum of many independent and identically distributed random variables will approximately follow a normal distribution. When the sample size is large enough, the distribution of the sample proportions will be approximately normal, even if the individual observations are not.

If the number of successes and failures in each sample is less.

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Step-by-step explanation:

3p + (-)7.81 = -13.81

3p = -13.81 + 7.81

3p = -6

p = -6/3

p = -2

Answer:

y = -17

Step-by-step explanation:

None

The correct way to solve for the answer is to divide the quantity of potatoes the store bought by the quantity of each bag of potatoes.

Quantity of potatoes the store bought = 250 kilograms

Quantity of each bag of potatoes= 10 pounds

Convert kilograms to pounds:

1 kilogram = 2.20462 pounds

25 kilograms= 551.156 pounds

Number of bags of potatoes= Quantity of potatoes the store bought / Quantity of each bag of potatoes

= 551.156 pounds ÷ 10 pounds

= 55.1156 bags

Approximately,

55 bags

Therefore, the store will pack an approximate number of 55 bags of potatoes.

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Answer:

$141.30

Step-by-step explanation:

180 - 38.70 = 141.30

Answer:

The completed table is given below

Sr. No. Mortgage Amount Interest Rate First Monthly Payment Amount of Interest Amount of Principal New Principal

a b c d e f

(given) (a*b/12) (c-d) (a-e)

1 86,000 8.00% 663.92 573.33 90.59 85,909.41

2 1,65,000 5.00% 886.05 687.50 198.55 1,64,801.45

3 42,500 6.50% 286.88 230.21 56.67 42,443.33

Answer to Question 4

Investment in house 96,400.00

Down Payment 25% 24,100.00 (96,400*25%)

Mortgage Amount 72,300.00 (96,400-24,100)

Mortgage Amount Interest Rate First Monthly Payment Amount of Interest Amount of Principal New Principal

a b c d e f

(given) (a*b/12) (c-d) (a-e)

72,300 5.50% 410.66 331.38 79.29 72,220.72

Thus First Monthly Payment used to reduce Principal is $79.29

5.

Investment in house 1,37,400.00

Down Payment 17,400.00

Mortgage Amount 1,20,000.00 (1,37,400-17,400)

Mortgage Amount Interest Rate First Monthly Payment Amount of Interest Amount of Principal New Principal

a b c d e f

(given) (a*b/12) (c-d) (a-e)

1,20,000 6.00% 772.80 600.00 172.80 1,19,827.20

New Principal will be $119,827.20.

6. Investment in house 2,87,000.00

Down Payment 31,000.00

Mortgage Amount 2,56,000.00 (287,000-31,000)

Mortgage Amount Interest Rate First Monthly Payment Amount of Interest Amount of Principal New Principal

a b c d e f

(given) (a*b/12) (c-d) (a-e)

2,56,000 6.00% 1,536.00 1,280.00 256.00 2,55,744.00

The first Monthly Payment used to reduce the Principal is $256 and New Principal after first monthly payment is $255,744.

7 Investment in house 87,500.00

Down Payment 17,500.00

Mortgage Amount 70,000.00 87,500-17,500)

Month Mortgage Amount Interest Rate Monthly Payment Amount of Interest Amount of Principal New Principal

a b c d e f

(given) (a*b/12) (c-d) (a-e)

1 70,000 6.00% 409.50 350.00 59.50 69,940.50

2 69,941 6.00% 409.50 349.70 59.80 69,880.70

3 69,881 6.00% 409.50 349.40 60.10 69,820.61

4 69,821 6.00% 409.50 349.10 60.40 69,760.21

5 69,760 6.00% 409.50 348.80 60.70 69,699.51

6 69,700 6.00% 409.50 348.50 61.00 69,638.51

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This value can be rounded to 3 decimal places, which would be 3.800°F.

Values relative what made it up importance of something if can refer to an intangible concepts such as person principle of it tangible objects such as rare coin value where body widely across culture society and individual can even vary within the same individual over time.

To find the change in temperature during a 1.5-hour period after a storm began, it would be necessary to take two temperature readings, one before the storm began and one after the storm ended. By subtracting the two readings, the change in temperature can be determined. For example, if the temperature before the storm began was 75.4°F and the temperature after the storm ended was 79.2°F, the change in temperature would be 3.8°F. This value can be rounded to 3 decimal places, which would be 3.800°F.

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The number of distinct 10-letter arrangements that can be formed from the letters in the word "statistics" is 40320, which can be calculated by finding the permutation of 8 objects taken 8 at a time

Permutation is a mathematical concept that deals with counting the number of ways to arrange a set of objects in a particular order.

The number of permutations of a set of n objects taken r at a time can be calculated using the formula:

=> n! / (n - r)!.

Where "n!" represents n factorial, which is the product of all positive integers less than or equal to n.

In this case, we are going to find out the number of distinct 10-letter arrangements that can be formed from the letters in the word "statistics".

In our case, the number of objects is 8 (the letters in the word "statistics") and we are taking 10 at a time, so the formula becomes:

=> 8! / (8 - 10)! = 8! / (-2)!.

The factorial of a negative number is undefined, so this case is not possible.

Since we cannot take more objects than the number of available objects, we have to find the number of permutations of 8 objects taken 8 at a time. The formula becomes:

=> 8! / (8 - 8)! = 8! / 0! = 8!.

Finally, 8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320,

which means that there are 40320 distinct 10-letter arrangements that can be formed from the letters in the word "statistics".

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Answer:

735/420 + 2 = 735/420 + 420/420 = 1155/420

Step-by-step explanation:

To add the three fractions, we need to find a common denominator. A common denominator for all three fractions is 420:

30/15 = 2

25/40 = 25/40 * 3/3 = 75/120

30/35 = 30/35 * 12/12 = 360/420

Adding the three fractions with the common denominator:

2 + 75/120 + 360/420 = 2 + 375/420 + 360/420

Combining like terms:

2 + 735/420 = 2 + 735/420

The answer is 735/420 + 2 = 735/420 + 420/420 = 1155/420.

Answer:

D. 12x = -8

Step-by-step explanation:

D. 12(-2/3) = -8

-24/3 = -8

-8 = -8

The measure of {x} in the figure is 14.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given is a parallelogram as shown in the image.

Opposite angles of a parallelogram are equal. So, we can write -

x + 50 = y

y - x = 50                                                                  .... Eq { 1 }

Sum of the angles of a quadrilateral are 360°. We can write -

2(x - 30) + (x + 50) + y = 360                                          .... Eq { 2 }

2x - 60 + x + 50 + y = 360

3x + y = 370

3x + 50 + x = 370

4x = 320

x = 80

y = 130

Therefore, the measure of {x} and {y} are 80 and 130 respectively.

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{Question in english -

Help please, I need to find the values, well, I'll settle for one...}

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

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The percentage of the students at the university which are foreign are 25% by conditional probability formula.

According to the question,  10% of all college students are foreign students who also smoke and it is also known that 40% of all foreign college students smoke.

We use the conditional probability formula to solve this question.

Let foreign students be denoted as F

Let students smoking be denoted as S

We know that 10% of all college students are foreign students who also smoke this means

P(F ∩ S) = 0.1

and 40% of all foreign college students smoke which means

P(S/F) = 0.4

So, the percentage of the students at this university who are foreign can be calculated as  

[tex]P(F) = \frac{0.1}{0.4}[/tex] = 0.25

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Part A: Each block will have an area of 128 square inches (8 in. x 16 in.), but the outside border of each block will be covered with blue paint.

Area is the measurement of the space contained within a two-dimensional surface.

The outside border of each block is 8 in. long and 16 in. high, for a total of 128 square inches of each block that is covered in blue paint.

Part B: The entire mural will have 25 identical blocks, so the total number of square inches of the entire mural that will be covered by white paint is 3,200 square inches (25 blocks x 128 square inches per block).

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The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

The probability that a doctor correctly diagnoses a particular illness is 0.7.

P(A) = 0.7

Therefore, the probability that a doctor incorrectly diagnose illness is,

P(A)' = 1-0.7 = 0.3

IF the doctor made a  incorrect diagnosis, the probability that the patient files a lawsuit is 0.9.

P(B) = 0.9

The probability of doctor makes an incorrect diagnosis and the patient sues,

P(C) = 0.3 * 0.9 = 0.27

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

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