5n = 60
n=__? HELP-!

Answer:

2 real roots

Step-by-step explanation:

y = ax^2 + bx + c

Thus, we can plug in 4 for a, 0 for b, and -16 for c to determine how many real roots y = 4x^2 - 16 has:

0^2 - 4(4)(-16)

(-16)(-16)

256

256 > 0

Since 256 is greater than 0, there are 2 real roots for y = 4x^2 - 16.

Step-by-step explanation:

See image below

The number of robberies in year 4 is  1.14 times the number of robberies in year 2.

the number of robberies in the year 4 is 255.

the number of robberies in year 2 is 225.

Now to find how many times the robberies took place in year 4 than in year 2 we will take the ratio as follows-

number of robberies in year 4/number of robberies in year 2 = 255/225

hence, we have,

number of robberies in year 4/number of robberies in year 2 = 17/15

number of robberies in year 4/number of robberies in year 2 = 1.13333

number of robberies in year 4/number of robberies in year 2 = 1.14

or we can say that number of robberies in year 4 = 1.14 * the number of robberies in year 2

i.e number of robberies in year 4 = 1.14 times the number of robberies in year 2.

Hence, the number of robberies in year 4 is  1.14 times the number of robberies in year 2.

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The complete question is -

how many times as many robberies were there actually in year 4 compared to year 2? round your answer to 2 decimal places.

The standard notation of the given term is 70,000.

A form of writing a certain number, an equation, or an expression in a way that adheres to set norms is known as a standard notation.

Given a phrase

7 times 10 four square

so 10 four square is 10 to the power 4

10 four square = 10⁴

and 7 times 10⁴ = 7 x 10⁴

the standard form of 7 x 10⁴ is

10⁴ = 10,000

7 x 10⁴ = 7 x 10,000

7 x 10⁴ = 70,000

Hence standard form is 70,000.

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Let's do

\(\\ \sf\longmapsto 5n^2\geqslant 3000\)

\(\\ \sf\longmapsto n^2\geqslant 3000/50\)

\(\\ \sf\longmapsto n^2\geqslant 60\)

\(\\ \sf\longmapsto n\geqslant √60\)

\(\\ \sf\longmapsto n\geqslant 7.32\)

Answer:

20

Step-by-step explanation:

Area of one trapezoid is 10 so double that is 20

i think thats the answer im not 100% sure but i hope this helps :)

Answer:

{the question is asking to find the value of x not m}

The value of x is 9°

Step-by-step explanation:

8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}

or, 8x+45° = 12x+9°

or, 8x-12x = 9°-45°

or, -4x = -36°

or, x = -36°/-4

or, x = 9°

The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer:

-6n-4+3<17

-6n-1<17

-6n<17+1

-6n<18

DIVIDE BOTH SIDE WITH THE COEFFICIENT OF n WHICH IS (-6)

-6n =18

-6 -6

n= -3

Answer:

2+y=x÷2 y=5 x=23

Step-by-step explanation:

it was very eazy

Let that unknown one be x

\(\\ \rm\rightarrowtail x^2=x(-x)+2\)

\(\\ \rm\rightarrowtail x^2=-x^2+2\)

\(\\ \rm\rightarrowtail 2x^2=2\)

\(\\ \rm\rightarrowtail x^2=1\)

\(\\ \rm\rightarrowtail x=1\)

Answer:

15 % of $1580 is $237

Step-by-step explanation:

68

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The function given is:

It is required to find the graph of f(5x).

Recall that the graph of f(kx) for k>1 is the horizontal compression or shrink of the graph of f(x) by k units. The graph is compressed horizontally towards the y-axis.

Graph the given function f(x)=x³+3:

Compress the graph horizontally by k=5 units as shown below:

The required graph is:

The graph that best fits this is graph 4.

The answer is gra

Answer:

$9.6; 20%

Step-by-step explanation:

$8*(1+20%) = $8*(1.2) = $9.6

To obtain the mixed number answer to 19 ÷ 6 from the whole-number-with-remainder answer, divide the numerator (19) by the denominator (6).

To find the mixed number answer to 19 ÷ 6, we divide 19 by 6. The whole-number quotient is obtained by dividing the numerator (19) by the denominator (6), which in this case is 3. This represents the whole number part of the mixed number answer, indicating how many complete groups of 6 are in 19. Next, we consider the remainder. The remainder is the difference between the dividend (19) and the product of the whole number quotient (3) and the divisor (6), which is 1. The remainder, 1, becomes the numerator of the fractional part of the mixed number.

This method makes sense because it aligns with the division process and provides a clear representation of the result. It shows the whole number part as the number of complete groups and the fractional part as the remaining portion. This representation is helpful in various real-world scenarios, such as dividing objects or quantities into equal groups or sharing items among a certain number of people.

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Answer:

4 km

Step-by-step explanation:

You found the hypotenuse correctly.

The questions asks what is the difference between the distance in the usual route, which is 12 km + 5 km = 17 km

and the new route, which is 13 km

17 -13 = 4 km

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Answer:

C) Subtract 15 from both sides of the equation, and then divide both sides by 3.

Step-by-step explanation:

Hope it helps! =D

The probabilities of HH, TT, and HT or TH are 0.25, 0.25, and 0.50.

Probability means the occurrence of a random event. The value of probability can only be from 0 to 1.

The sample space will be

Sample = 4 {HH, HT, TH, TT}

The probability of getting Head on both coins will be

P(HH) = 0.25

The probability of getting Tail on both coins will be

P(TT) = 0.25

The probability of getting one Head and one Tail will be

P(HT, TH) = 0.5

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Answer:

don't understand

what do u mean

Step-by-step explanation:

Using Trignometry,

tan77° = Opposite/Adjacent = FG/GE.

Therefore FG = GEtan77°

= (2.6)tan77° = 11.3 feet.

Answer:

yes

Step-by-step explanation:

There are 3,024 different ways to choose 4 different officers from a club of 9 people.

We have,

To determine the number of ways to choose 4 different officers (president, vice president, treasurer, and secretary) from a club of 9 people, we can use the concept of permutations.

Since each position must be filled by a different person, we need to find the number of permutations of 9 people taken 4 at a time.

The formula for the number of permutations of n objects taken r at a time is given by:

P(n, r) = n! / (n - r)!

In this case, we have n = 9 (number of people in the club) and r = 4 (number of positions to be filled).

Using the formula, we can calculate the number of ways to choose the officers:

P(9, 4) = 9! / (9 - 4)!

= 9! / 5!

= (9 x 8 x 7 x 6 x 5!) / 5!

= 9 x 8 x 7 x 6

= 3,024

Therefore,

There are 3,024 different ways to choose 4 different officers from a club of 9 people.

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-12 and 2

-12×2= -24

-12+2= -10

Answer:  Using the number line, add the followingi 3+4​

count : ^   and opposite : ( )

-10 | -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | 0 | 1^ | 2^ | 3^ | 4^ | 5^ | 6^ | 7^ | 8 | 9 | 10 |

start on 0 go to right is positive 7 :

7= 3 + 4

= 7

-10 | -9 | -8 | ^-7 |^ -6 | ^-5 |^ -4 |^ -3 | ^-2 |^ -1 |^ 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

start on 0 go to left  is negative - 7

-7 = -3 + -4

= -7  

-10 | -9 | -8 (| -7 | -6 | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |) 8 | 9 | 10 |

2 of the answer and number are opposite each other :

hope this helping <33

Answer is 4th statement "Yes, the volume of the trophy is 433. 333 cm³".

To find the volume of the trophy,

Use the formula V = (1/3)xBxh,

Where B is the area of the base and h is the height.

Since the base of the trophy is a square with an edge of 10 cm,

its area is 10x10 = 100 cm².

The height of the trophy is the slant height of the pyramid, which is given as 13 cm.

Using the formula, we can calculate the volume of the trophy as,

V = (1/3)x100x13

   = 433.33 cm³.

Therefore, the answer is: Yes, the volume of the trophy is 433.33 cm², which is less than the 1,000 cm³ of aluminum available, so there is enough aluminum to cast the trophy.

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Answer:

it is option C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Given,

The set is {2, {3}}.

The cardinity of the set is the number of elements in the set.

Consider,

A = {2, {3} }

The cardinity of the set is,

Hence, the cardinality of the set is 2.