7.1 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 134 cm3.
The height of the water bottle is 7.1 cm. What is
the radius of the water bottle? Use 3.14 for i.
The radius of the water bottle is about
cm. (Round to the nearest tenth as needed.)

Step-by-step explanation:

For Taxi A,

Every 40 miles would cost £35, so for 240 miles:

240 miles ÷ 40 miles = 6 (number of 40-mile trips)

6 trips x £35 per trip = £210 (original cost without discount)

With a 15% discount,

15% of £210 = £31.50 (discount amount)

£210 - £31.50 = £178.50 (final cost after discount)

For Taxi B,

240 miles x £0.70/mile = £168 (final cost)

Therefore, the cheaper taxi journey for Corey would be Taxi B, which would cost £168.

Answer:

apply distance formula

\( \sqrt{ {(5 - 2)}^{2} + {(1 - 5)}^{2} } \)

u get

\( \sqrt{9 + 16} \)

which is

\( \sqrt{25} \)

which is 5

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The price of the pillow in the department store is $12.75

The wholesale price of the pillow= 7.50

The store mark up price was increased by 70

The price can be calculated as follows

70/100 × 7.5

= 0.7 × 7.5

= 5.25

5.25 + 7.50

= 12.75

Hence the price of the pillow is $12.75

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Answer:

c= 0 m=6

Step-by-step explanation:

0x2= 0

3x6=18

18+0=18$

Given the expression;

We can find the solution by simplifying the expression and factorizing the simplified expression to get the solutions.

We then factorize the quadratic expression above;

Therefore the solutions would give;

ANSWER: X=1 gives yes, x=-4 gives yes, the rest gives no

Answer:

Step-by-step explanation:

One

Length = 16

Width = 1

Two

<P = 120

<Q = 30

<R = 30

Three

xy = 45

yz = 1

Four

<1 = 45

<2 = 45

The answer is 40°

hope this helps

Answer:

y = -9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

since 2y is adding to positive 6 we take 6 to the right side where there its like term 12. we subtract 6 from 12 which is giving us 6. we are remaining with 2y=6 we divide both sides by 2 giving us y=3

Answer:

3 odd numbers can make 169, for an example,

33 + 63 + 73

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Answer:

Step-by-step explanation:

Sum of first n odd numbers=n²

13²=169

Therefore sum of 13 odd numbers is 13²

1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²

Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

Answer:

(a+b) ^2=400

Step-by-step explanation:

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Answer:

34.5 feets

Step-by-step explanation:

Length of ladder = 37 feet

Angle between ladder and top of building = 21°

Since ladder makes a right angle with the foot of the wall;

Angle the ladder makes with the ground :

(90° + 21° + θ) = 180°

111° + θ = 180°

θ = 180° - 111°

θ = 69°

To obtain the height, x of the building reached by the ladder ;

Using Pythagoras :

Sinθ = opposite / hypotenus

Sin 69° = x / 37

x = 37 * sin 69°

x = 37 * 0.9335804

x = 34.542475

x = 34.54 feets

Hence, the height up the building reached by the ladder is 34.5 feets

(C) It will take him the most time to snowball his payments based on the highest interest rate.

Customers (cardholders) are given a credit card, a sort of payment card, to enable them to pay a business for goods and services based on the amount of debt they have accrued (i.e., promise to the card issuer to pay them for the amounts plus the other agreed charges).

A revolving account is set up by the card issuer, which is frequently a bank or credit union and gives the cardholder access to a line of credit from which they can borrow money to make purchases or get cash advances.

Consumer credit cards and business credit cards are the two types of credit cards.

Most cards are made of plastic, but others are made of metal (stainless steel, gold, palladium, titanium), and some have jewels inlaid in the metal.

As a result, Fred currently owes money on four separate credit cards.

Paying off your lowest obligations first, then going on to the next smallest, and so forth, is known as snowballing.

Debt avalanche, an alternative approach, recommends paying off debts with the highest interest rates first.

Therefore, (C) It will take him the most time to snowball his payments based on the highest interest rate.

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Correct question:
Fred has an outstanding balance on four different credit cards. Which method of paying off his credit card debt will take him the longest period of time?

A. Paying the minimum balance each month.

B. Making fixed payments.

C. Snowballing his payments according to the highest interest rate.

D. Snowballing his payments according to the lowest balance.

The experimental probability is 3/10 that Clare won if Charlie's numbers were 1 and 3

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Charlie picked two numbers between 1 and 5

So the numbers should be 2, 3, and 4

There is the number of favorable outcomes is 3

To win the game, Clare must guess both his numbers in three tries

The experimental probability that Clare won if Charlie's numbers were 1 and 3 = P(E)

There are 10 trials given

There are total number of possible outcomes is 10

So the required experimental probability P(E) = favorable outcomes/total outcomes

⇒ P(E) = 3/10

Hence, the experimental probability is 3/10 that Clare won if Charlie's numbers were 1 and 3.

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Answer: 3/10

Step-by-step explanation:

A spherical balloon is being filled with air at the constant rate of 8 cm³/sec How fast is the radius increasing when the radius is 6 cm?

Rate of change of radius of sphere 0.0176 cm/sec.

A spherical balloon is filled with air at the constant rate of 8 cm³/sec.

Formula used: Volume of sphere = (4/3)πr³

Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of a sphere, and dr/dt is the rate of change of radius of the sphere.

We know that the radius of the balloon is increasing at the constant rate of 8 cm³/sec. When the radius is 6 cm, then we can find the rate of change of the volume of the sphere at this instant. Using the formula of volume of a sphere, we get: V = (4/3)πr³

Substitute r = 6 cm, we get: V = (4/3)π(6)³ => V = 288π cm³ Differentiating both sides with respect to time 't', we get: dV/dt = 4πr²dr/dt, where dV/dt is the rate of change of volume of sphere, and dr/dt is the rate of change of radius of the sphere. Substitute dV/dt = 8 cm³/sec, and r = 6 cm,

we get:8 = 4π(6)²(dr/dt)

=>dr/dt = 8/144π

=>dr/dt = 1/(18π) cm/sec

Therefore, the radius is increasing at the rate of 1/(18π) cm/sec when the radius is 6 cm.

Rate of change of radius of sphere = 1/(18π) cm/sec= 0.0176 cm/sec.

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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Answer:

you basically divide y/x for tables. on a graph you just try to find the constant k

Step-by-step explanation:

Claims per year (option B) is the measure that provides the most valuable and comprehensive information for the insurance company's reevaluation of premiums.

The measure that provides the best information for the reevaluation of homeowners insurance premiums is option B: claims per year. This measure gives an overall picture of the frequency of claims filed by customers on an annual basis, allowing the insurance company to assess the risk and adjust premiums accordingly.

Option B, claims per year, provides the most comprehensive and relevant information for the insurance company's reevaluation of premiums. By analyzing the number of claims filed per year, the insurance company can determine the average rate at which claims are being made by its customers. This measure takes into account all customers and provides a general overview of the claims activity within the company.

Option A, claims per sub-division, focuses on claims within specific sub-divisions or neighborhoods. While this measure may be useful for localized risk assessment, it does not provide a holistic view of the company's overall claims activity.

Option C, claims per year per city, narrows down the analysis to claims made in specific cities. This measure may be relevant for regional risk assessment but does not capture the complete picture of the company's claims frequency.

Option D, claims per dollar value of property, relates claims to the value of insured property. While this measure may offer insights into the severity of claims, it does not provide sufficient information to determine the overall claims frequency.

Therefore, claims per year (option B) is the measure that provides the most valuable and comprehensive information for the insurance company's reevaluation of premiums.

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Answer:

If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

With 7 blue balloons per bouquet and 8 white balloons per bouquet.

Step-by-step explanation:

The school colors are blue and white. Elizabeth had 84 blue balloons and 96 white balloons.

We solve this using GCF Method

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

The number of blue balloons in each bouquet =

84/12

= 7 blue balloons per bouquet

The number of white balloons in each bouquet =

96/12

= 8 white balloons per bouquet

Answer:

Triangle ABC is congruent to triangle DFE.

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

Step-by-step explanation:

given,

amount she deposited in bank = $450

amount get automatic deducted each month for her gym membership = $35.20

So, amount of money will left at the end of 4 months = 4 × 35.20 = $140.8

so, $450 - 140.8 = $309.2

therefore, $309.2 amount will remain at the end of 4 months.

The required value of constant of variation, k does not exist for which x and y vary directly.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion.  Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation  

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is y = 4x + 1

On comparing it with equation 1, we get, that y does not vary directly with x

Hence, the required value of constant of variation does not exist.

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The second description is not suitable.

It should be "simplify the terms" sice you are just adding 36 and -20.

Consider the given expression,

Apply the distributive property,

Combine like terms,

Subtract 20 from both sides,

Divide both sides by 27,

Answer:

AD BC only

Step-by-step explanation:

Answer:

A: ab || dc

i dont know what else to put here, all i can say is i passed this test

Answer:n=−2

Step-by-step explanation:

Answer:

8 square units

Step-by-step explanation:

The area of KLM = 3x * h / 2

The area of JKM = x * h /2

This means that the area of KLM is three times as much as the area of JKM, so 24/3 = 8 square units

Answer:

D

Step-by-step explanation:

It is in the middle of -9 and -8 therefore the awnser is -8.5