Matrix M shows the one-way fares for four commuter train routes. If the rail service raised fares by 12% on all routes and days, which formula shows how to find the matrix that would display the new fares?


A) 0.12M

B) M + 0.12

C) M + 0.12M

D) 1 + 0.12M

The inequality:

[tex]0.19x+75\geq100\qquad|-75\\\\0.19x\geq25\qquad|:0.19\\\\x\geq\dfrac{25}{0.19}\approx132[/tex]

The problem requires mathematical analysis to find the time intervals during which the outside temperature, represented by a function of time, exceeds the AC's set point, thus determining when the AC was actively cooling the castle.

The question presented to Princess Poly and Prince Digit by Wizard N. Gineer involves a mathematical analysis of an air conditioning (AC) system's performance based on outside temperature fluctuations over time. The outside temperature function provided by Mr. N. Gineer is f(t) = 24 - 5cos(rac{
pi}{12}t), where t is the number of hours past midnight. To determine when the AC was actively cooling the castle, one would need to identify the time intervals during which the temperature exceeded the set point at which the AC is triggered to cool. These intervals will be when the function values are above the temperature set point for the AC to start.

For example, if the AC is set to cool the castle at any temperature above 24 degrees Celsius, the solution would involve finding the values of t for which the function exceeds this limit. This involves solving inequalities and possibly using trigonometric identities and properties to find the appropriate time intervals. However, without the exact temperature set point at which the AC starts, we cannot solve for the specific hours during which the AC would be actively cooling.

(a) - 5

since y varies inversely as x then  k = yx ( k is the constant of variation )

using y = 5 when x = - 1, then k = 5 × - 1 = - 5

[tex]f(x)=\left\{\begin{array}{ccc}2-x&if&x\leq-5\\x+11&if&x > -5\end{array}\right\\\\-5\leq-5\ \text{therefore for}\ x=-5,\ f(x)=2-x\\\\f(-5)=2-(-5)=2+5=7[/tex]

A vegetable-oil recovery plant has already recycled 1,400 litters out of 2,500 liters of used oil.

Initially plant has 2,500 liters of used oil.

plant has already recycled 1,400 liters

so liters of oil left = 2500 - 1400 = 1,100

So 1,100 liters of oil left

plants can recycle 24 liters of used oil per hour

So for 1,100 liters we divide by 24 to find the number of hours

[tex]\frac{1100}{24}= 45.83[/tex]

Its approximately 46 hours

Approximately 46 hours it will take to recycle 1,100 liters.

first one: 1200/1.5 = 800, second one: 20,000/10= 2000, third one: 400/20 = 20, fourth one: 266.6, fifth one: 33.3, sixth one: 1000. You're welcome!!

For this case, we have the following generic expression:

[tex]a + b = c\\[/tex]

The commutative property of the addition states that the order of the addends does not alter the sum, therefore the previous expression above can be written as:

[tex]b + a = c\\[/tex]

Thus the expression[tex]8 + 7 = 15[/tex], applying the commutative property, can be written as:

[tex]7 + 8 = 15\\[/tex]

Answer:

Option c

C. The answer is C because the total amount of students is 14, and there are 4 boys, which makes the ratio 4 boys to 14 students in total. 4 and 14 are both divisable by 2, so divide 4 to get 2 and divide 14 to get 7. This leaves you with 2 and 7. The ratio would be 2 boys to 7 total students. Hope this helped

Answer:2:5

[tex]4 divided by two = 2 10/2=5[/tex]

Answer:

36

Step-by-step explanation:

Given that Kelsay opened a bag of marbles.

The bag included 4 colours of marbles of equal numbers.

The four colours are red, yellow, green and blue.

To find the no of marbles of each colour in the bag:

Total number of marbles = 144

Total colours = 4

Hence divide total number by no of colours to get the answre

No of each colour marbles = 144/4 = 36

Given

43 - 3d= d + 9

Solution

Add 3d to both sides of the equal sign

43 = d + 3d + 9

43 = 4d + 9             Subtract 9 from both sides

43 - 9 = 4d              Collect like terms on the left

34 = 4d                    Divide by 4 on both sides.

34/4 = 4d/4  

8 2/4 = d

d = 8 2/4 = 8 1/2 = 8.5

Check

LHS

43 - 3 * 8.5

43 - 25.5

17.5

RHS

d + 9

8.5 + 9

17.5

and the problem checks.

C is the answer

[tex]43-3d=d+9\qquad|\text{subtract 43 from both sides}\\\\-3d=d-34\qquad|\text{subtract d from both sides}\\\\-4d=-34\qquad|\text{divide both sides by (-4)}\\\\d=\dfrac{-34}{-4}\\\\d=\dfrac{34:2}{4:4}\\\\d=\dfrac{17}{2}\\\\\boxed{d=8\dfrac{1}{2}}\to\boxed{c.}[/tex]

ANSWER

When [tex]f(x)=x^2-10x+9[/tex] is written in the form [tex]f(x)=a(x-h)^2+k[/tex], it looks like [tex]f(x)=(x-5)^2-16[/tex]

EXPLANATION

To write  [tex]f(x)=x^2-10x+9[/tex] in the form [tex]f(x)=a(x-h)^2+k[/tex], we have to complete the squares.

We add and subtract half the coefficient of [tex]x[/tex] square.

[tex]f(x)=x^2-10x+(-5)^2-(-5)^2+9[/tex]

The first three terms of the function is now a perfect square.

[tex]f(x)=(x-5)^2-25+9[/tex]

We now simplify rto obtain,

[tex]\Rightarrow f(x)=(x-5)^2-16[/tex]

The answer to your question is,

You can buy 5 cans of pineapple chunks with $10. Since each can is $2, you need to add $2 for each can until you get $10. :3

-Mabel <3

The Pythagorean Theorem is a² + b² = c².  Since the hypotenuse is 10 ft, c=10. The other leg is 8 ft, so b=8. Plug 10 into c, and 8 into b.

a² + 8² = 10²

Square 8 and 10.

= a² + 64 = 100

Subtract 64 from both sides.

= a² = 36

Find the square root of 36.

a = 6

Answer:    

The correct option will be:  d. 7950

Step-by-step explanation:

The police officer paid 10% of her income between $0 and $8350,  15% of her income between $8350 and $33,950  and 25% of her income between $33,950 and $47,050 in federal income tax.

So,   the amount of  tax at  10% rate  [tex]=(\$8350-\$0)*0.10=\$8350*0.10 = \$835[/tex],

the amount of tax at 15% rate [tex]=(\$33950-\$8350)*0.15 = \$25600*0.15=\$3840[/tex]

and the amount of tax at 25% rate [tex]= (\$47050-\$33950)*0.25= \$13100*0.25= \$3275[/tex]

Thus, the total amount of federal income tax will be: [tex](\$835+\$3840+\$3275)= \$7950[/tex]

Answer:

The correct answer is $7950

Step-by-step explanation:

Answer: Option C. Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)

Solution:

Conditional relative frequency single employees in grade 2:

[(Single employees in job grade 2)/(Total employees in job grade 2)]*100%=

(222/4,239)*100%=0.052370842*100%=5.2370842% approximately 5.2%

Conditional relative frequency married employees in grade 2:

[(Married employees in job grade 2)/(Total employees in job grade 2)]*100%=

(3,927/4,239)*100%=0.926397735*100%=92.6397735% approximately 92.6%

92.6%>5.2%:

Married and grade 2 (92.6%) is higher than Single and grade 2 (5.2%)

Answer:

c

Step-by-step explanation:

he could save $645 a year so he could save up

To find the y-intercept you first need to set everything equal to y and that will put everything in the y=mx+b line equation. Where m is the slope and b is the y intercept

x+3y = 14           subtract x over

3y = -x+14         divide by 3

y = -1/3x +14

So 14 is the y-intercept of the equation

[tex]f(x) \rightarrow -\infty \ as \ x \rightarrow \infty \ and \ f(x) \rightarrow 0 \ as \ x \rightarrow -\infty[/tex]

This is true because of the graph. As you can see, if x increases without bound, then f(x) take values from the straight line but those values become more and more negative. On the other hand, if x gets more and more negative, then f(x) approaches zero.

Answer:

Step-by-step explanation:

does anyone have the answers to the lesson 10; graph behavior test precal A unit 3 test?

I believe the answer is $8.76!

1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner

By given data

1 : Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed: Grouping Symbol

2 : An expression that consists of numbers, operations, and sometimes grouping symbol: Operator

3 : The order in which operations must be computed when more than one operation is involve: Order of Operations

4 : A number representing how many times the base number should be multiplied by itself :Exponent

5 : A Symbol that represents a value that can change: Variable

6 : A single number or variable, or numbers and variables multiplied together: Term

7 : The numerical factor in a term. A number being multiplied by a variable: Coefficient

8 : A number on its own, it has a fixed value: Constant

9 : A combination of variables, numbers, and operations: Numerical Expression

10 : You replace, or substitute, all the variables with numbers and then simplify: Variable Expression

11 : A statement that the values of two math expressions are equal (indicated by the sign : Equation

12 : The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”: Inequality

13 : The symbol of a math operation. plus, minus, times, divided by, equals: Evaluate

14 : An equation or inequality containing one or more variable: Open Sentence

Hence,

1 : Grouping Symbol, 2 : Operator, 3 : Order of Operations, 4 : Exponent, 5 : Variable, 6 : Term, 7 : Coefficient, 8 : Constant, 9 : Numerical Expression, 10 : Variable Expression, 11 : Equation, 12 : Inequality, 13 : Evaluate, 14 : Open Sentence

To learn more on number system click:

https://brainly.com/question/22046046

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Answer:840,400

Step-by-step explanation:840,449

840,400

Answer:

The answer is A  1/5x^2

Step-by-step explanation:

If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive

Answer:

The answer is A  1/5x^2

Step-by-step explanation:

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

Selling price of home = $250,000

Rate of commission on each sale she get = 3%

Rate of commission pays for expenses = 25%

So, Firstly amount she get on home sale would be

[tex]\dfrac{3}{100}\times 250,000\\\\=0.03\times 250,000\\\\=\$7,500[/tex]

Amount after paying for expenses would be

[tex]7500\times \dfrac{100-25}{100}\\\\=7500\times \dfrac{75}{100}\\\\=7500\times 0.75\\\\=5,625[/tex]

Hence, Multiply $250,000 by 0.03, and then multiply again by 0.75 is correct.

Therefore, Third option is correct.

Answer:

C

Step-by-step explanation: