Which number sentence is NOT true?OA) |-80| < 80OB) |17|= 17OC) |-80| > |17|OD) |-17| < |80|

The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.

To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.

The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.

The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].

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Monthly Amount paid more in 1 year loan is $204.60 and You will pay $480.34 less in interest.

What is interest?

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

Amount paid each month in 1 year loan

=>\(P_0=d*\frac{(1-(1+r/k)^{-nk})}{(r/k)}\)

Here r=18%, k=12 and n=1 then,

=> 4900=\(d*\frac{(1-(1+18\%/12)^{-1\times12})}{(18\%/12)}\)

=> 4900= d*10.90751

=> d=4900/10.90751

=>449.23177

Monthly Amount paid more in 1 year loan= 449.23177-244.63

=>$204.60

Now Interest paid in 1 year arrangement= Total payment-Loan amount

=>449.23177*12-4900

=> 5390.78124-4900

=> 490.78

Difference in interest= $971.12-490.78=$480.34

You will pay $480.34 less in interest.

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

A, B, D and E are the correct answers because they are all true

Answer:

72

Step-by-step explanation:

Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.

6 to 7 can also be express as 6/7

Thus, we can set up a proportion

6/7 = x/84

Now, we have to solve for x

x = 72

Hence, if there were 84 robin there would be 72 blue jays.

~lenvy~

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem \(a^s+b^2=c^2\)

where a and b are the legs and c is the hypotenuse of a right triangle

\(\implies 7^2+24^2=x^2\)

\(\implies 49+576=x^2\)

\(\implies 625=x^2\)

\(\implies x=\sqrt{625}\)

\(\implies x=\pm25\)

\(\implies x = 25\) only, as distance is positive

Use Pythagorean theorem

\(\\ \rm\longmapsto x^2=24^2+7^2\)

\(\\ \rm\longmapsto x^2=576+49\)

\(\\ \rm\longmapsto x^2=625\)

\(\\ \rm\longmapsto x=25\)

The probability that one player receives all the 13 hearts is 1/2598960.

How likely something is to occur can be determined using probability. For many events, it is challenging to make an accurate prediction.

The number of ways to distribute the 13 hearts among the 4 players is 4!. The number of ways to distribute the remaining 39 cards among the 4 players is 39!/(13!13!13!13!). Hence, the total number of ways to distribute the 52 cards among the 4 players is (52!)/(13!13!13!13!).

Therefore, the probability that one player receives all the 13 hearts is (4!)/((52!)/(13!13!13!13!)) = 1/((52515049)/(13121110)) = 1/2,598,960.

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Answer:

72 inches

Step-by-step explanation:

Answer:

Personal Experience

Step-by-step explanation:

Scorpio

Answer:

In my honest opinion I'd say Leo

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

hi

f(x) = x² -2x

g(x) = 6x+4

(f+g) (x) = x²-2x +6x+4 =  x²+4x +4 =  (x+2)² =  (x+2) (x+2)

(f+g) (x) = 0  means  =  (x+2) (x+2) = 0  

so x+2 = 0

   x = -2

(f+g) (x) = 0  for x = -2

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

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Step-by-step explanation:hope this helps

The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Answer:

-4j + 3 or 3 - 4j

Step-by-step explanation:

you can combine the terms in any order that you want, but i'm going to begin with the j terms.

first, identify the like terms.

-6j + 4 + 2j - 1

then combine the like terms.

-6j + 2j = -4j

now identify the next set of like terms.

-6j + 4 + 2j - 1

combine those like terms.

4 - 1 = 3

after combining the first set of like terms, you're left with: -4j

after combining the second set of like terms, you're left with: 3

therefore the simplified expression is -4j + 3 or 3 - 4j. rearranging those terms doesn't change the answer, so it doesn't matter what order you write it in.

i hope this helps!! have a great rest of your day :)

Answer:

4913 more people per square mile live in Honolulu than Anchorage

Step-by-step explanation:

To find the people per square mile, take the number of people and divide by the square miles

Honolulu:

348,000 people/ 68.4 sq. miles

5087.71929 people per square mile

Round to the nearest person

5088 people per square mile

Anchorage:

298,000 people/ 1706 sq. miles

174.67760 people per square mile

Round to the nearest person

175 people per square mile

How many more means subtract

5088-175 =4913

4913 more people per square mile live in Honolulu than Anchorage

Answer:

4,913 people more per sq mile.

Step-by-step explanation:

Honolulu: 348,000 people on 68.4 sq miles

Density H = 348,000 / 68.4 = 5,088 persons/sq mile

Anchorage: 298,000 people on 1,706 sq miles

Density A = 298,000 /1 ,706 = 175 persons/sq mile

The difference= 5,088 - 175 = 4,913 more people per sq mile.

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Exact Form:

x = 1 , − 1/ 2

Decimal Form:

x = 1 , − 0.5

Step-by-step explanation:

QUICK MATH

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

1.794

Step-by-step explanation:

use the calculator

Answer:

1.794

Step-by-step explanation:

5. 5

2. 99

× 0.6

--------

1794

+0000

---------

1.794

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.

Answer:

60°

Step-by-step explanation:

Arc BC and Angle BWC are the same number of degrees.

When the vertex of an angle is at the center of a circle, its called a Central Angle. A central angle and the arc it "cuts off" have the same number of degrees.

Angle AWB and Angle BWC lay together on a straight line, so they add up to 180°.

180° - 120° is 60°

Angle BWC is 60° so Arc BC is 60°

Answer:

$720 divided by 2 = $360

$360-106=$254

$360+106=$466

$254+$466=$720

Person 1 has $254

Person 2 has $466

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

The parent function is given below.

f(x) = x³

The function is stretched by 5 units and gets reflected over the y-axis. Then the function is given as,

f(x) = (-5x)³

The function is shifted by 4 units downward then subtract 4 from the function. Then the function is given as,

f(x) = x³ - 4

The graph of the functions f(x) = (-5x)³ and f(x) = x³ - 4 are drawn below.

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Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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Answer:

6/15,4/15,5/15

Step-by-step explanation:

the fruit divided by the whole number