Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4

Answer:

15 quarters and 10 nickels

Step-by-step explanation:

\(q+n=25\)

\(0.25q+0.05n=4.25\)

multiply the first equation by -0.25 and add the second equation to it

\(-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25\)
________________
                \(-0.2n=-2\)

\(n=\frac{-2}{-0.2} =10\)   has 10 nickels

\(q=25-n=25-10=15\)  has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

D. (1,0) and (0,3)​

Answer:

1 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.

Substituting the given values, we have:

V = (1/3)π(10 mm)^2(6 mm)

V = (1/3)π(100 mm^2)(6 mm)

V = (1/3)π(600 mm^3)

V = 200π mm^3

Using a calculator to approximate π to 3.14, we get:

V ≈ 628.32 mm^3

Therefore, the answer is O 628 mm³.

Therefore , the solution of the given problem of probability comes out to be the required probability is 0.05 or 1/20 and the correct option is c.

Probability theory is an area of mathematics that focuses on calculating the probability that a claim is valid or that a specific event will occur. Chance can be represented by any number between zero and 1, where range 1 is typically used to convey certainty and 0 is frequently used to denote possibility. The probability that a specific event will occur is displayed in a probability diagram.

Here,

The probability of randomly selecting an umbrella and a shaving kit in that order is equal to the probability of selecting an umbrella (with probability 1/5) multiplied by the probability of selecting a shaving kit from the remaining gifts (with probability 1/4,

since one gift has already been chosen and removed from consideration).

Therefore, the probability of selecting an umbrella and a shaving kit in that order is:

=>(1/5) x (1/4) = 1/20 or 0.05

So if you purchased Allure, the probability of randomly selecting an umbrella and a shaving kit in that order as your two free gifts is 1/20 or 0.05.

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Answer:

Time = 1.45152 seconds

Step-by-step explanation:

1 foot = 0.000189 mile

300 ft = 300*0.000189

300 ft = 0.0567 miles

492 ft = 492*0.000189

492 ft = 0.092988 miles

Distance left to be covered by the train

= 0.092988-0.0567

= 0.036288 miles

Speed= 90mph

Time taken = distance/speed

Time taken= 0.036288/90

Time = 4.032*10^-4 hour

Time = 4.032*10^-4*60*60

Time = 1.45152 seconds

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.

The law can be expressed mathematically as:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }\)

Where:

Now we obtain the data to continue solving:

Now, we will convert the temperatures to Kelvin:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }\)

Now we solve for V₂:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }\)

Where:

Now, we substitute the values in the formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}\)

Answer:

Its C

Step-by-step explanation:

Just finished the homework and got it right

Using exponential functions, it is found that the correct option is given by:  [15, ∞)

-------------------------

The exponential function given in this exercise is:

\(M(t) = 25000(\frac{4}{5})^t\)

-------------------------

The domain that contains all the years the car's value is less than $1,000 is composed by the values of t for which:

\(M(t) < 1000\)

Thus, we have to solve the exponential inequality.

\(M(t) < 1000\)

\(25000(\frac{4}{5})^t < 1000\)

\((\frac{4}{5})^t < \frac{1}{25}\)

\(\log{(\frac{4}{5})^t} < \log{\frac{1}{25}}\)

\(-0.0969t < -1.39794\)

\(0.0969t > 1.39794\)

\(t > \frac{1.39794}{0.0969}\)

\(t > 14.43\)

Rounding, t greater than 15 years, and the correct option is:

[15, ∞)

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Okey, in this case we need to find first all the play of circumference of the circle:

2πr

2*3.5*22/7

Total: 22 inches

Considering that the circle is divided into 5 equal parts, we will divide thw total by five:

22/5= 4.4 inches

The distance between all parts of the circle is 4.4 inches, so the distance between a and b is 4.4 inches.

When creating a budget, the importance of certain items can affect the process by influencing the allocation of funds. Essential items like housing, food, utilities, and transportation typically take priority over discretionary items like entertainment or hobbies. The importance of each item can help individuals determine how much money should be allocated to each category in their budget.

Fixed expenses are recurring expenses that remain the same from month to month, such as rent or mortgage payments. Variable expenses, on the other hand, fluctuate from month to month, such as groceries or utility bills.

Fixed expenses can be budgeted by simply allocating a specific amount of money towards that expense each month, while variable expenses may require more flexible budgeting strategies, such as estimating a monthly average or setting aside a certain amount of money for unexpected expenses.

Sorting needs and wants can have a significant impact on a personal budget. Needs are typically essential expenses required for daily living, such as housing, food, and healthcare. Wants, on the other hand, are non-essential expenses that are not required for basic survival, such as entertainment or hobbies.

By prioritizing needs over wants in their budget, individuals can ensure that they are meeting their basic living expenses before allocating money towards discretionary expenses. This can help individuals better manage their finances and avoid overspending on non-essential items.

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\( \frac{6}{10} \\ \\ \frac{9}{15} \\ \\ \frac{12}{20} \\ \\ \frac{15}{25} \)

Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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The length of e is 29.53 inches.

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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Answer:

Must be part of a specific member group to join . - CREDIT UNION.

Credit Unions require that you are a member of a member group to join as well as other entry requirements unlike a bank where the qualification rules are less stringent.

Profits are given to shareholders . - BANK.

A Bank is owned by its investors and shareholders so they will have to distribute profits to them unlike a Credit Union that is owned by its members.

Offer checking and savings accounts, CDs, loans . BOTH.

Both Credit Unions offer these financial products and accounts.

Deposits are insured up to $250,000  - BOTH.

Both of these types of Institutions are insured up to $250,000 by the United States Governments. Credit Unions are insured by the National Credit Union Share Insurance Fund (NCUSIF) and banks are insured by the FDIC (Federal Deposit Insurance Corporation).

Fees tend to be higher . BANKS.

Banks are for profit institutions so they will charge higher fees to make more profit for their investors.

Interest customers earn on deposits tends to be higher. - CREDIT UNIONS.

Credit Unions earn higher deposit interest for customers because they are not-for-profit so do not have to offer less rates to keep more money for their investors.

Bank, credit union, or both have been for each of the statements below:

Banks are financial institutions that have licenses to accept deposits from customers and provide loans when the conditions are met.

Credit Unions, on the other hand, are not operated for the purpose of making profits. They are formed by members who hold an agreement and their methods of operation are similar to the commercial banks.

In the given points above the similarities and differences between these two financial institutions are shown.

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A is the correct answer

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

The solution is:

Less unemployment is least likely to exist in a recession or a depression.

Explanation:

People who are not employed will have little income, and this contributes to a lower consumption of commodities. Demand and rates are likely to decrease. This, therefore, confuses people because there are few opportunities, thus causing a recession that occurs as unemployment decreases.

When the rate of unemployment increases, the recession also worsens, the rise of structural unemployment has contributed significantly to this, thus triggering the recession. The economy is also drastically affected because of the changes in employment status.

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Answer: -3/4

Step-by-step explanation:

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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