Tell whether the ordered pair is a solution to the equation.

(0, -1); y = 4x-1

9514 1404 393

Answer:

  9 pastries per hour

Step-by-step explanation:

In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...

  (63 pastries)/(7 hours) = 9 pastries per hour

_____

Additional comment

We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

Answer:

2/3 < y < 6

Step-by-step explanation:

So what we want to do is get the equation to become just y surrounded by the gereater than signs. So we have 3y-4 and we first add 4 to all numbers. We now 2 < 3y < 18. WE can divide everything by 3 to get 2/3 < y < 6.

Answer:

Let the height of the tower be h and the distance of the boy from the foot of the tower be d. then tan 32=h/d,

h=d.tan32, take 32 as 30,

h=d.tan30=d/√3 equation 1

When he has walked 8 m towards the tower,

tan 43=h/(d-8)

h=(d-8).tan 43 take 43as 45

h=(d-8).tan45=(d-8)×1=d-8

d/√3=d-8

d-d/√3=8

d(1-1/√3)=8

d(√3-1)=8√3

d=8√3/(√3-1)=8√3(√3+1)/{(√3-1)(√3+1)}=8√3(√3+1)/(3-1)=4√3(√3+1)

h=d/√3=4(√3+1)

Take the value of h from equation 1

Answer:

-1/2

Step-by-step explanation:

Marvin will make 10 equal installments of $12 each to pay off the remaining balance of the watch.

Marvin is buying a watch from his brother for $170.

His brother offers him a payment plan where Marvin can make a $50 down payment and pay the remaining amount in 10 equal installments.

To calculate the amount of each installment, we first need to determine the remaining balance after the down payment.

Remaining balance = Total price of the watch - Down payment

Remaining balance = $170 - $50

Remaining balance = $120.

Since Marvin will pay the remaining balance in 10 equal installments, we can divide the balance by the number of installments to find the amount of each installment.

Amount of each installment = Remaining balance / Number of installments

Amount of each installment = $120 / 10

Amount of each installment = $12

Therefore, Marvin will make 10 equal installments of $12 each to pay off the remaining balance of the watch.

1In summary, Marvin will make a $50 down payment and then pay $12 per month for 10 months to complete the payment of the watch.

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Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

Answer:

#5, #1, #2, #4, #3

They are always positive soo you just order them without the negatives

Answer:

its $5.20

Step-by-step explanation:

Correct Question

30th term of AP 10, 7, 4 is​

Answer:

The 30th term is -77

Step-by-step explanation:

Required

Determine the 30th term of the given progression

First, we need to determine the common difference (d);

\(d = T_2 - T_1\)

\(d = 7 - 10\)

\(d = -3\)

The nth term of an AP is calculated by

\(T_n = a+ (n -1) d\)

In this case;

n = 30;

a = First term = 10

d = -2

Substitute these values in the given formula

\(T_{30} = 10+ (30 -1) * -3\)

\(T_{30} = 10+ (29) * -3\)

Open the bracket

\(T_{30} = 10-87\)

\(T_{30} = -77\)

Hence, the 30th term is -77

Answer:

1, 7, 13, 19, 25

Step-by-step explanation:

The difference between 1 and 7 is six, same as the difference between 13 and 19. So the next number would be 25.

Answer:

The answer is 1,152.

Answer:

1,152

Step by step explanation:

1.) Align both numbers horizontally (32 on top of 36) and make a line under them.

2.) Multiply 6 by 2 You would get 12, so, you leave 2 under the line and carry the 1 over the three in 32.

3.) Multiply 6 by 3. You'd have 18, but add the 1 we carried earlier. You would get 19 (write it to the left of the 2 you wrote under the line)

4.) Add a zero under 192.

5.) Multiply 3 by 2. You'd get 6. Write it next to the 0.

6.) Multiply 3 by 3. You'd get 9. Write it next to 60.

7.) Add 192 and 960.

8.) Answer should be 1,152

Answer:

Have you tried word online?

Step-by-step explanation:

Respuesta:

3/40

Explicación paso a paso:

Dado :

Fracción de tiempo diario dedicado a publicidad = 1/8

Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad

Fracción del tiempo diario dedicado a la publicidad de las universidades:

3/5 de 1/8

3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40

Answer:

No, a 10 inch pencil cannot.

Step-by-step explanation:

A rectangular prism that measures 8 inches by 4 inches by 3 inches is not enough for the pencil. It would need to be beneficial.

1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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The value of the expression sec (-π) is equal to -1 if the given expression is undefined.

As given in the question,

Given expression: sec (-π)

Standard position of unit circle: -π is representing semicircle with terminal point on negative x-axis with coordinates (-1, 0)

Hypotenuse = √ (-1)² + 0²

                     = 1

Value of the expression is given by

sec α = Hypotenuse / Base (x-coordinate)

⇒sec(-π) = 1 / -1

⇒sec(-π) = -1

Therefore, the value of the expression sec (-π) is equal to -1.

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The dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively

The given parameters are

Perimeter = 20 yards

For the rectangle to have the greatest are, the rectangle must be a square

So, the dimension is

Length = Perimeter/4

This gives

Length = 20/4

Evaluate

Length = 5

The area of Sergio's garden is

Area = 5 * 5

Evaluate

Area= 25

Hence, the dimensions and area of Sergio's garden are 5 yards and 25 square yards respectively

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Answer: x = 2

Step-by-step explanation:

The rule for reflecting over  x = 2 is that y remains the same and you add how many units x = 2 is from the point.

x = 2 is has the coordinate of x = 2 and y = the y coordinate of the point.

A (-1, 1) Since the y coordinate of (-1, 1) is 1, x = 2 - (2, 1)

Add 3 units to 2, the x coordinate since -1, 1 is 3 units from 2, 1

2,1 --> 5, 1

I really didn't know how to explain but Im 100% sure Im right and I hoped this helped somehow.

The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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(a) To show that there can be at most 14 abundant circles, we can use the combination formula.

(b) There cannot be 14 abundant circles.

To see why, consider that each circle contains 4 points. If there were 14 abundant circles, then there would be a total of 14 * 4 = 56 points involved.

Since a circle abundant if it passes through at least 4 points of S, we can select any 4 points from the set S to form a circle. The number of ways to choose 4 points out of 8 is given by the combination formula:

C(8, 4) = 8! / (4!(8-4)!) = 70

Therefore, there can be at most 70 abundant circles.

However, this count includes some cases where multiple circles pass through the same 4 points. To eliminate these duplicates, we can consider the maximum number of unique sets of 4 points that can form abundant circles.

(b) There cannot be 14 abundant circles.

To see why, consider that each circle contains 4 points. If there were 14 abundant circles, then there would be a total of 14 * 4 = 56 points involved. However, we are given that the set S has only 8 points. Therefore, it is not possible to have 14 abundant circles.

The maximum number of abundant circles can be determined by considering the maximum number of unique sets of 4 points. Since there are C(8, 4) = 70 unique sets of 4 points, the maximum number of abundant circles is 70.

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Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

Answer:

Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

Answer:

I dont get it. :(

Answer:

Explanation:

We want to write 47 in base 3

To do this, we follow the steps below:

47/3 = 15 Remainder 2

15/3 = 5 Remainder 0

5/3 = 1 Remainder 2

1/3 = 0 Remainder 1

Now, to base 3, we write the remainders, starting from the last one to the first one.

Answer:

55; ∠3 and ∠4 are complementary angles, so m∠3 = 90 − m∠4.

Step-by-step explanation:

Complementary angles are a pair of two angles that add up to give us 90°.

Thus, angle 4 and angle 3 are complementary angles.

m∠ACD = 90°, m∠4 = 35°, therefore,

m∠ACD = m∠4 + m∠3.

Thus:

90° = 35° + m∠3

Subtract 35 from both sides

90 - 35 = 35° + m∠3 - 35

55 = m∠3

m∠3 = 55°.

Step-by-step explanation:

15 it go to 100 you add 8 - 4 you add 9

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Given:

The types of dough=2.

The types of cheese = 3.

The types of toppings = 6.

Required:

We need to find the number of different pizzas if each pizza consists of a type of dough, one cheese, and one topping.

Explanation:

The number of different pizzas = multiple

( types of dough, cheese, and toppings).

Final answer:

The number of different pizzas =36.

If Lola uses only ³/₄ gallons of fruit juice, proportionately, she will need the following quantities of the other ingredients:

Proportion is the ratio or relative relationship of one value against another.

Proportion is used to show the quantity of a number contained in another.

Proportions are depicted using fractions, decimals, or percentages.

Available Ingredients for a Punch Recipe:

Bottles of ginger ale = 2 liters

Gallons of fruit juice = 1 gallon

Gallons of sherbet = ¹/₂ gallons

The proportion of fruit juice used = ³/₄ gallons

The proportion of ginger ale to be used = 1¹/₂ liters (2 x ³/₄)

The proportion of sherbet to be used = ³/₈ gallons (¹/₂ x ³/₄)

Thus, in proportion, Lola will use 1¹/₂ liters of ginger ale and ³/₈ gallons of sherbet if she cuts the recipe by using ³/₄ gallons of fruit juice.

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