Given angle 1 and angle 2 are supplementary. Prove p is parallel to q.

Answer:

8 feet

Step-by-step explanation:

.................... ............ . ...

Answer:

8 ft

Step-by-step explanation:

Since 2 angles are given as congruent, the opposite sides are congruent.

The opposite sides of the congruent angles are 8 ft and L, so L = 8 ft.

Answer: more detail pls

Step-by-step explanation:

Answer:

Im pretty sure it's the third option C

Step-by-step explanation:

Answer:

27 bags

Step-by-step explanation:

18 ÷ \(\frac{2}{3}\) is the same as

\(\frac{18}{1}\) \((\frac{3}{2})\)

\(\frac{54}{2}\) = 27

Answer:

43565?

what kind of math is this?

Step-by-step explanation:

Answer:

76970

Step-by-step explanation:

Answer:

The first one is 109, the 2nd one is the 2nd and 4th choices

Step-by-step explanation:

Step-by-step explanation:

a) The scale 3:24 = 1:8 so if the scale drawing is 5" tall, then the building's actual height is 5×8 = 40 ft.

b) The ratio of the cement to sand is 1:3 so if you have 24 buckets of sand, that means you need 24/3 = 8 buckets of cement.

c) The ratio at which the money is to be distributed is 5:2:4:3. So the money is to be partitioned into 14 (=5+2+4+3) parts so that A get (5/14) of the money, B gets (2/14), C gets (4/14) and D gets (3/14). If C gets R1000 more than D then we can write

\(C = D + 1000 \Rightarrow \frac{4}{14}M = \frac{3}{14}M + 1000\)

Solving for M, which is the total sum of money, we get

\(\frac{1}{14}M = 1000 \Rightarrow M =R14000\)

Now that we know how much money is involved we can now solve how much money B gets:

\(\frac{2}{14}M = (\frac{1}{7})(14000) = R2000\)

Answer:

B

Step-by-step explanation:

when x is 0 y=4(0)+12 y=12

y is 0 y=4(-3) +12 = 12=12

The probability of occurrence for the events A, B and C is; 1/4.

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

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According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:
10

Step-by-step explanation:

-3x+7x-8=34+9x-2

(Combine like terms)

4x-8=32

(Add 8 to each side)

4x=40

(Divide by 4)

X=10

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

A,M,V

Step-by-step explanation:

Answer:

what questions need to be done? We need to know the problems before we answer them. :/

Answer:

explanation is in a files

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.04 cm. He knows that the population standard deviation is 0.26 cm.

Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?

Step 1: Null and Alternative HypothesisThe null hypothesis (H0): The machine does not need recalibration after testing 196 bolts.The alternative hypothesis (H1): The machine needs recalibration after testing 196 bolts.

Step 2: Determine the level of significance level of significance (α) = 0.02

Step 3: Find the critical valueThe level of significance is 0.02, which indicates that the critical value is zα/2 = ±2.33 using the z-table.

Step 4: Calculate the z-test statistics = (x - μ) / (σ/√n) = (4.04 - 4.00) / (0.26 / √196)z = 4.0

Step 5: Determine the p-values-value = P (Z > 4) ≈ 0Using the p-value approach, if the p-value is less than the level of significance, reject the null hypothesis.

In this case, the p-value is almost 0, indicating that there is a statistically significant difference between the sample mean and the hypothesized population mean of 4.0 cm.

Step 6: Conclusion Since the p-value is less than the level of significance, we can reject the null hypothesis and accept the alternative hypothesis. It implies that the machines need recalibration as there is sufficient evidence to suggest that the bolts' mean length is more significant than the required specification of 4.00 cm.

Therefore, the manufacturer should recalibrate the machine to ensure that the bolts' length is within the required specification.

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The correct answers are:

Functions are expressions separated by an equal sign. They have both dependent and independent variables.

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

 -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

  8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

 (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

 written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

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Answer:

15mg/ml

Step-by-step explanation:

Percent mass per volume ( % m/v) is unit expression that tells us how many grams of a solute that we can find 100 ml of a particular solution.

In the above question, we are asked to express 1.5%w/v Bepotastine besilate (BEPREVE) ophthalmic solution as mg/mL

Step 1

1.5% w/v = 1.5 g of Bepotastine besilate (BEPREVE) in 100ml ophthalmic solution

Hence, if

100ml = 1.5g

1 ml = y g

We Cross Multiply

100ml × yg = 1 ml × 1.5g

yg = 1 ml × 1.5g/100ml

= 0.015g

Therefore, in 1 ml we have 0.15 g.

Step 2

Since we are asked to express as mg/ml

We convert 0.015g to mg

1 gram = 1000 milligrams

0.015 grams =

Cross Multiply

0.015grams × 1000 milligrams/ 1 gram

= 15 mg

Therefore, the concentration in mg/ml of 15% m/v of Bepotastine besilate (BEPREVE) ophthalmic solution is 15mg/ml

Answer:

[(2*8) + 3] *4 = 76

[2*(8 - 3)]*4 = 40

Step-by-step explanation:

Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.

En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.

Para obtener 76, se pueden realizar la siguiente operación combinada:

[(2*8) + 3] *4

Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:

[16 + 3]*4

Ahora, resolviendo el corchete:

19*4

Finalmente, resolviendo la multiplicación:

19*4= 76

Entonces [(2*8) + 3] *4 =76

Para obtener 40, se pueden realizar la siguiente operación combinada:

[2*(8 - 3)]*4

Comenzando a resolver el paréntesis:

[2*5]*4

Ahora, resolviendo el corchete:

10*4

Finalmente, resolviendo la multiplicación:

10*4= 40

Entonces [2*(8 - 3)]*4 = 40

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

Answer:

B. -√(3)/2

Step-by-step explanation:

Given:

We know that in the 2nd quadrant, sinθ is positive and cosθ is negative.

The Pythagorean identity states that sin²(θ) + cos²(θ) = 1.

Substituting sin(θ) = 1/2, we get:

(½)² + cos²(θ) = 1

cos²(θ) = ¾

cos(θ) = -√(3)/2

Therefore, the value of cos(θ) is -√(3)/2.

Answer:

middle set of data

Step-by-step explanation:

Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

The sample size is       \(n  =  246\)

Step-by-step explanation:

From the question we are told that

    The standard deviation is \(\sigma  =  4\ lb\)

    The confidence level is  C  = 95%

    The total  width is  \(w = 1 \  lb\)

Given that the confidence level is  95% then the level of significance is mathematically represented as

       \(\alpha = (100 -95 )\%\)

=>    \(\alpha = 0.05\)

From the normal distribution table  the critical value  for  \(\frac{\alpha }{2}\) is  

    \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the sample size is mathematically represented as

       \(n  =  [\frac{Z_{\frac{\alpha }{2}}  * \sigma }{E}]^2 \)

Here E is the margin of error which is mathematically represented as

     \(E =  \frac{w}{2}\)

=>   \(E =  \frac{1}{2}\)

=>   \(E = 0.5 \)

So

      \(n  =  [\frac{1.96 * 4 }{0.5}]^2 \)

    \(n  =  246\)

Answer:

5

Step-by-step explanation:

jnjknmnj

Answer:

5

(

)

=

6

2

5

Step-by-step explanation: