(0,4) is a solution to 1/2x + <6 is this true or false ?

A number between 47 and 53 such that the prime factors are not repeated is:

3*17 = 51

Remember that any number can be written as a product of prime factors.

If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.

For example:

2*3*5*7 = 210

There are no repeated factors, but the number is not in the desired range.

2*5*7 = 70

Still not in the range.

You can try some times until you get for example:

3*17 = 51

This a number in the desired range, such that their prime factors are not repeated.

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The height of the oblique triangular pyramid is 15 units if the base area of 15 square units and a volume of 20 cubic units.

Volume is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of an oblique triangular pyramid is given by:

V = 1/3b h

Where b is the area of the base and h is the height of the pyramid.

We have b = 15 square units and V = 15 cubic units.

h = 4 units

V = 1/3 x 15 x 4

V = 20

Thus, the height of the oblique triangular pyramid is 15 units if the base area of 15 square units and the volume of 20 cubic units.

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Answer:

Middle or B on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Miles

Answer:

a

Step-by-step explanation:

enjoy!

Answer:

b

Step-by-step explanation:

Given data:

The given equation x+y=4.

Substitute 0 for x in the given equation.

0+y=4

y=4.

Substitute 0 for y in the given equation.

x+0=4

x=4

So, the graph of the equation must pass from (0,4) and (4,0).

Thus, the option (a) is correct.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

t = 23

Step-by-step explanation:

line DG and FG are congruent

t - 1 = 4t -70

subtract t from both sides (-1 = 3t -70)

add 70 to both sides (69 = 3t)

divide each side by 3 (t = 23)

Answer:

t = 23

Step-by-step explanation:

Recall that the diagonals of a parallelogram intersect dividing each one in equal segments, therefore segment DG must equal the length of segment GF.

Then we can construct the following equation based on DG = GF

t - 1 = 4 t - 70  

then we can solve for t

subtract t from both sides

- 1 = 3 t - 70

add 70 to both sides

70 - 1 = 3 t

69 = 3 t

divide both sides by 3 to isolate t

69 / 3 = t

then

t = 23

The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

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Using the simple interest formula it is seen that Mrs Jo saves an amount of $180 when she chooses option B over option A.

What is Simple Interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

To determine which option is better, we need to compare the total amount of interest paid for each option.

Option A -

The principal amount is $900 and the interest rate is 8%. The term is 5 years.

Using the formula for simple interest -

Interest = Principal × Rate × Time

Interest = $900 × 0.08 × 5

Interest = $360

Total amount paid = Principal + Interest

Total amount paid = $900 + $360

Total amount paid = $1260

Option B -

The principal amount is $900 and the interest rate is 10%. The term is 2 years.

Using the formula for simple interest -

Interest = Principal × Rate × Time

Interest = $900 × 0.10 × 2 = $180

Total amount paid = Principal + Interest

Total amount paid = $900 + $180

Total amount paid = $1080

Therefore, option B is the better option because it has a lower total amount paid by choosing option B.

Mrs. Jo will save -

$1260 - $1080 = $180

Therefore, Mrs. Jo will save $180 by choosing option B instead of option A.

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Answer:

i cant see it

Step-by-step explanation:

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:x=6

Step-by-step explanation:

x+5x=36

Step 1: Simplify both sides of the equation.

x+5x=36

(x+5x)=36(Combine Like Terms)

6x=36

6x=36

Step 2: Divide both sides by 6.

\(\frac{6x}{6} =\frac{36}{6}\)

x=6

Answer:

x=6

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer:

5

Step-by-step explanation:

(+3 + (+2))

Remove the brackets.

3 + (+2)

3 + 2

Add the numbers.

= 5

Answer:

+5 or 5

Step-by-step explanation:

(+3)+(+2)

=> According to the rule, ( + )( + ) = ( + )

So,

=> +3+2

=> +5

he will need to score 32 points per game he wil; beat the record by 3 points with 190,meaning the new median is greater than the older median so your answer is C.

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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\(y=\dfrac{sin(x^2)}{x^3}\)

Apply the quotient rule:

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3\frac{\mathrm d\sin(x^2)}{\mathrm dx}-\sin(x^2)\frac{\mathrm dx^3}{\mathrm dx}}{(x^3)^2}\)

Chain and power rules:

\(\dfrac{\mathrm d\sin(x^2)}{\mathrm dx}=\cos(x^2)\dfrac{\mathrm dx^2}{\mathrm dx}=2x\cos(x^2)\)

Power rule:

\(\dfrac{\mathrm dx^3}{\mathrm dx}=3x^2\)

Putting everything together, we have

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3(2x\cos(x^2))-\sin(x^2)(2x\cos(x^2))}{(x^3)^2}\)

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^3\cos(x^2)-2x\sin(x^2)\cos(x^2)}{x^6}\)

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^2\cos(x^2)-\sin(2x^2)}{x^5}\)

When \(x=\sqrt{\frac\pi2}\), we have

\(\cos\left(\left(\sqrt{\dfrac\pi2}\right)^2\right)=\cos\left(\dfrac\pi2\right)=0\)

\(\sin\left(2\left(\sqrt{\dfrac\pi2}\right)^2\right)=\sin(\pi)=0\)

so the derivative is 0.

Answer:

3 and 23 Over 32

Step-by-step explanation:

Done

.

.

.

.

.

.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(-4,3) and Q(6,1)

The distance between them is

\( |PQ| = \sqrt{ ({ - 4 - 6})^{2} + ({3 - 1})^{2} } \\ = \sqrt{ ({ - 10})^{2} + {2}^{2} } \\ = \sqrt{100 + 4} \: \: \: \: \: \: \: \: \: \\ = \sqrt{104} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 10.1980390271\)

We have the final answer as

Hope this helps you

The original fraction is 10/19

Let the fraction be \(\frac{x}{y}\)

Now , according to question

\(\frac{x+2}{y+5}\) =\(\frac{1}{2}\)

⇒ 2(x+2)=y+5

⇒2x-y-1=0-------(1)

and \(\frac{x-4}{y-1}\)=\(\frac{1}{3}\)

⇒3(x-4)=y-1

⇒3x-y-11=0------(2)

subtracting 1 from 2 we get

2x-y-1

3x-y-11

-  +  +

⇒ x=10

putting in (1)

20-y-1=0

y=19

∴ The actual fraction was 10/19

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Answer:

{58.02007 , 61.97993]

Step-by-step explanation:

Data are given in the question

Sample of cars = n = 121

Average speed = sample mean = 60

Standard deviation = sd = 11

And we assume

95% confidence t-score = 1.97993

Therefore

Confidence interval is

\(= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }]\)

=  {58.02007 , 61.97993]

Basically we applied the above formula to determine the confidence interval

The values of a and b is 2.3 and 3.7 respectively

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C. So, we use the Sine rule to find unknown lengths or angles of the triangle.

therefore, a/sinA = b/sinB = c/sinC

C = 180-(26+45)

C = 180- (71)

C = 109°

a/sinA = c/sinC

a/ sin26 = 5/sin109

a×sin109 = 5 × sin26

a× 0.946 = 5× 0.438

a × 0.946 = 2.19

a = 2.19/0.946

a = 2.3

b/sin45 = 5/sin109

5 × sin45 = b sin109

b = 5× 0.707/0.946

b = 3.7

therefore the value of a and b are 2.3 and 3.7 respectively

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The measure of m∠D will be 36 degrees

A triangle is a shape with 3 sides and angles

For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.

Given that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees

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Josefina earns $19 after paying for her supplies.

The cost of supplies for each banner of papel picado is:

15 (tools) + 7 (paper) = $22

Josefina sells each banner for $3, so her profit per banner is:

$3 - $22 = -$19

This means that she is losing money on each banner she sells, which is not a sustainable business model. Therefore, the equation to find the amount of money Josefina earns after paying for her supplies is not relevant in this case.

To make a profit, Josefina needs to either increase the price of her banners or decrease her costs for supplies. Alternatively, she could look for ways to increase her efficiency in making the banners to reduce the amount of time and materials needed.

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Step-by-step explanation:

Using Difference of Squares,

16y⁴ - 256x¹²

= 16(y⁴ - 16x¹²)

= 16(y² + 4x⁶)(y² - 4x⁶)

= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).

Step-by-step explanation: