What is the probability of me choosing a number that is both a square and a factor of 3
Square Number
Factor of 3

1,3,5,7, 2, 4, 9, 12, 16, 25, 36

The measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°

From the question, we are to determine the complement of the given angle measure

From the given information, the measure of angle K (m ∠K) is (6x + 12)°

NOTE: If two angles are complementary, the measures of the angles sum up to 90°

Let the complement of angle K be angle L.

Thus,

∠K + ∠L = 90°

(6x + 12)° + ∠L = 90°

6x° + 12° + ∠L = 90°

∠L = 90° - 12° - 6x°

∠L = 78° - 6x°

∠L = (78 - 6x)°

Hence, the measure of the complement of angle K is (78 - 6x)°. The correct option is D. (78 − 6x)°

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Answer:

\(\frac{10}{21}\)

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\(\frac{3(3)}{14(3)}\) + \(\frac{2(2)}{21(2)}\) + \(\frac{1(7)}{6(7)}\)

= \(\frac{9}{42}\) + \(\frac{4}{42}\) + \(\frac{7}{42}\) ← add the numerators, leaving the denominator

= \(\frac{9+4+7}{42}\)

= \(\frac{20}{42}\) ← divide both values by 2

= \(\frac{10}{21}\) ← in simplest form

To determine how many people out of the 300 surveyed did not know how to ride a bike, you have to calculate the 15% of 300.

You can use cross multiplication to do so:

100%____300 people

15%_____x people

Both relations have to be at the same ratio so that

Multiply both sides by 15 to determine the value of x:

This means that out of the 300 people surveyed, 45 did not know how to ride a bike.

Therefore, the approximate value of the integral is 0.42 (rounded to the nearest hundredth).

To approximate the integral ∫ from 1 to 2 of √(1 + cos(x)) dx using a Left Riemann sum with 20 subintervals, we need to divide the interval [1, 2] into 20 equal subintervals.

The width of each subinterval, Δx, is given by:

Δx = (b - a) / n = (2 - 1) / 20 = 1/20 = 0.05

Now, we evaluate the function at the left endpoint of each subinterval and sum the areas of the rectangles formed by multiplying the function value by the width.

Approximation using Left Riemann sum:

∫ from 1 to 2 of √(1 + cos(x)) dx ≈ Σ[√(1 + cos(xᵢ)) Δx] for i = 0 to 19

where xᵢ = a + iΔx, and a = 1.

Calculating the approximation:

∫ from 1 to 2 of √(1 + cos(x)) dx ≈ Σ[√(1 + cos(1 + i*0.05)) * 0.05] for i = 0 to 19

Now, we calculate the sum by substituting the values:

∫ from 1 to 2 of √(1 + cos(x)) dx ≈ (√(1 + cos(1))*0.05) + (√(1 + cos(1.05))*0.05) + ... + (√(1 + cos(1.95))*0.05)

Evaluating this expression using a calculator or software, we get the approximation to the nearest hundredth:

∫ from 1 to 2 of √(1 + cos(x)) dx ≈ 0.42

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To calculate the coverage Cameron can get for the same premium rate, we need to consider the remaining term and his current age.

Cameron had a 30-year term policy, but he let it expire. Since he is now 40 years old, the remaining term would be 30 - 40 = 10 years. Next, we calculate the total premium paid for the original policy. Cameron paid $18.20 per month, so the total premium paid over 30 years is 18.20 * 12 * 30 = $6,552.

To find the coverage he can get for the same premium rate, we divide the total premium paid by the remaining term:

Coverage = Total premium paid / Remaining term

Coverage = $6,552 / 10 = $655.20 per year

To calculate the coverage percentage loss, we compare the new coverage amount with the original coverage:

Coverage loss percentage = ((Original coverage - New coverage) / Original coverage) * 100

Coverage loss percentage = (($325,000 - $655.20) / $325,000) * 100

The coverage loss percentage will depend on the exact calculations above, but it will provide the percentage by which the coverage has decreased compared to the original policy.

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Answer:

4u+3

Step-by-step explanation:  8/1*1/2= 8/2=4u

                                              8/1*3/4= 24/8=3    

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

The correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

A correlation can be defined as statistical terminology which is used as a measure to indicate the relationship that exists between two or more variables.

This ultimately implies that, correlation can be used to statistically measure and predict the level of fluctuation between two or more variables in relation to one another.

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction because they are in tandem.

In this context, we can infer and logically deduce that the correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

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1) 25%of50=$12.5. 50-12.5=37.5

2)20%of21=$4.2. 21-4.2=16.8

3)5%of12=$0.6.    12-0.6=11.4

HOPE THIS HELPED!!!

Answer:

1. $37.50

2.$16.80

3. 0.41

Step-by-step explanation:

The values of y in the equation are (b) y = -62 and 66

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

- 3 ⁢ ( y − 2 ) ^2/3 + 29 = - 19

Subtract 29 from both sides of the equation

So, we have

- 3 ⁢ ( y − 2 ) ^2/3 = -48

Divide by -4

( y − 2 ) ^2/3 = 16

Take the square root of both sides

( y − 2 ) ^1/3 = ±4

Take the cube of both sides

y − 2=  ±64

So, we have

y = 2 ± 64

Evaluate

y = -62 and 66

Hence, the values of y are (b) y = -62 and 66

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Answer:

oh no that's tough bro

hope you get through

Answer:

£68

Step-by-step explanation:

Width of one tile = 20cm

Calculate how many tiles you need to fit the width of the wall:

width of wall ÷ width of tile = 300 ÷ 20 = 15 tiles wide

Height of one tile = 25cm

Calculate how many tiles you need to fit the height of the wall:

height of wall ÷ height of tile = 250 ÷ 25 = 10 tiles high

Therefore, total tiles needed = 15 x 10 = 150 tiles

If there are 20 tiles in each box,  

total tiles ÷ 20 = 150 ÷ 20 = 7.5 boxes

So we need to round this UP to 8 boxes (else we won't have enough tiles)

Therefore, 8 boxes of tiles at £8.50 per box:

Total cost = 8 x 8.50 = £68

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

Answer:

13

Step-by-step explanation:

The gcf of 26 and 39 is 13

(a)  The components of the two vectors are  A - B = 2.00i + 8.00j + 2.00k.

(b)  The magnitude of the vector difference A - B is approximately 11.49.

(c) The vector product A × B is -16.00i + 14.00j - 22.00k.

(a) To calculate A - B, we subtract the corresponding components of the two vectors:

A - B = (4.00i + 5.00j - 3.00k) - (2.00i - 3.00j - 5.00k)

Simplifying:

A - B = 4.00i + 5.00j - 3.00k - 2.00i + 3.00j + 5.00k

Combining like terms:

A - B = (4.00i - 2.00i) + (5.00j + 3.00j) + (-3.00k + 5.00k)

A - B = 2.00i + 8.00j + 2.00k

Therefore, A - B = 2.00i + 8.00j + 2.00k.

(b) To calculate the magnitude of the vector difference A - B, we use the formula:

|A - B| = sqrt((A - B) · (A - B))

where (A - B) · (A - B) represents the dot product of A - B with itself.

|A - B| = sqrt((2.00i + 8.00j + 2.00k) · (2.00i + 8.00j + 2.00k))

Expanding and calculating the dot product:

|A - B| = sqrt((2.00i · 2.00i) + (2.00i · 8.00j) + (2.00i · 2.00k) + (8.00j · 2.00i) + (8.00j · 8.00j) + (8.00j · 2.00k) + (2.00k · 2.00i) + (2.00k · 8.00j) + (2.00k · 2.00k))

|A - B| = sqrt(4.00 + 16.00 + 4.00 + 16.00 + 64.00 + 4.00 + 4.00 + 16.00 + 4.00)

|A - B| = sqrt(132.00)

|A - B| ≈ 11.49

Therefore, the magnitude of the vector difference A - B is approximately 11.49.

(c) To calculate the vector product (cross product) between vectors A and B, we use the formula:

A × B = (A_yB_z - A_zB_y)i + (A_zB_x - A_xB_z)j + (A_xB_y - A_yB_x)k

Plugging in the values:

A × B = ((5.00)(-5.00) - (-3.00)(-3.00))i + ((-3.00)(2.00) - (4.00)(-5.00))j + ((4.00)(-3.00) - (5.00)(2.00))k

Simplifying:

A × B = (-25.00 + 9.00)i + (-6.00 + 20.00)j + (-12.00 - 10.00)k

A × B = -16.00i + 14.

00j - 22.00k

Therefore, the vector product A × B is -16.00i + 14.00j - 22.00k.

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Consider the two vectors A=4.00i^+5.00j^​−3.00k^ and B=2.00i^−3.00j^​−5.00k^ (a) Calculate A−B using the components of the two vectors. (b) Calculate the magnitude of the vector difference A−B. (c) Calculate the vector product between the two vectors, A×B.

Answer:

1/2 or like 1/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is a parallelogram, the opposite angles are the same size

so

4a + 64 = 8a - 4

64 + 4 = 4a

68 = 4a

a = 68 : 4

a = 17

The surface area of the  gas tank capsule represented to 1 dp is about 9079.2 cm²

The surface area of a solid object is the area of all the faces of the object.

Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm

Therefore;

Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm

The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;

Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π

Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²

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Step-by-step explanation:

that is a strange way to express to situation.

what they mean here is that the perimeters are of identical lengths.

other than the total length the perimeters have nothing in common. therefore, I would have never used the word "congruent" for that. if that would have been the answer to a question like "what statement describes the relationship between the 2 perimeters ?", I would have flagged this as wrong.

anyway, so, the perimeters are of equal length. that means

x + 6 + x + 3 + x + 9 = 2(x + 4) + 2(x + 1)

3x + 18 = 2x + 8 + 2x + 2 = 4x + 10

3x + 8 = 4x

8 = x

Answer:

-4, quick maths, nahh they all /4

Step-by-step explanation:

The number of centimeters in an inch is approximately 2.54, while the number of inches in a centimeter is approximately 0.39.

Using the customary ruler, the length of the side of the wooden block is measured as 1 3/32 inches.

This means the length is slightly over 1 inch but less than 1 1/8 inches.

To estimate one place value beyond the ruler's gradations, we can round the measurement to 1.1 inches.

Using the metric ruler, the length is measured as 2.78 centimeters. This measurement provides a more precise value in the metric system.

To calculate the ratio between centimeters and inches, we find that there are approximately 2.54 centimeters in an inch.

This means that for every 1 inch, there are approximately 2.54 centimeters.

Conversely, there are approximately 0.39 inches in a centimeter.

This means that for every 1 centimeter, there are approximately 0.39 inches.

In conclusion, the length of the wooden block's side is measured as 1.1 inches using the customary ruler and 2.78 centimeters using the metric ruler.

The conversion ratios between centimeters and inches are approximately 2.54 cm/inch and 0.39 inch/cm, respectively.

These ratios can be used to convert measurements between customary and metric systems.

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Answer:

x= -6

v= 1

v= 2

Step-by-step explanation:

-3= x+7-4, combine like terms by subtracting seven from four

-3= x+3, subtract three from both sides

-6= x

8v-3+3v= 8, combine like terms by adding 8v and 3v

11v-3= 8, add three to both sides

11v= 11, divide both sides by 11

v=1

-v+3v=4, combine like terms by adding -v and -3v

2v= 4, divide both sides by 2

v= 2

Answer:

-3=x+7-4

-3-7+4=x

x=-6

8v-3+3v=8

8v+3v=8+3

11v=11

V=1

-v+3v=4

2v=4

V=2

Step-by-step explanation:

Answer: (-2,3)

Step-by-step explanation: To figure out where the missing point, D, would go, you have to figure out which side DE is congruent to and what side is missing. I saw that DE is correlates to the base of the triangle because that's the only one of that length. From there, I counted up from the center of the base, DE, to find a good place for the vertex, and made sure it was the same exact distance from DE as C is from the base of the first triangle.

Answer:

Step-by-step explanation:

B

Answer:

9 cm

Step-by-step explanation:

Arc length = θ/360 × 2πr

A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle

Hence,

3π = 120/360 × 2πr

Diameter = 2r

3π = 1/3 × 2πr

Cross Multiply

9π = 2πr

2r = 9π/π

Note that :

Diameter = 2r

Hence,

Diameter = 9 cm

Using LC-3 instructions in hexadecimal,

(a) Move value from R2 to R3: Use "ADD R3, R2, #0" instruction.

(b) Clear contents of R5: Use "AND R5, R5, #0" instruction.

(c) Perform R1 ← R4 - R6: Use "ADD R1, R4, #-1" and "ADD R1, R1, R6" instructions.

(d) Set condition codes based on R1: Use "ADD R7, R1, #0" or "ADD R7, R1, #1" instructions.

(e) No sequence of instructions can set N=1, Z=1, and P=0 simultaneously because they are mutually exclusive.

(a) To move the value in R2 into R3, the instruction "ADD R3, R2, #0" can be used. (ADD copies the value from one register to another).

(b) To clear the contents of R5, the instruction "AND R5, R5, #0" can be used. (ANDing a register with 0 clears its contents).

(c) To perform the R1←R4−R6 operation, the instruction sequence would be:

(d) Two ways to set the condition codes based on the value in R1 without changing the contents of any register:

(e) No, there is no sequence of instructions that will cause the condition codes at the end of the sequence to be N=1, Z=1, and P=0 simultaneously because the condition codes are mutually exclusive. N (negative) and P (positive) cannot both be true at the same time.

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Answer:

its A

Step-by-step explanation: