The graph shows a system of inequalities.

Graph of two inequalities.

Which system is represented in the graph?

y > x2 + 4x – 5
y > x + 5
y < x2 + 4x – 5
y < x + 5
y ≥ x2 + 4x – 5
y ≤ x + 5
y > x2 + 4x – 5
y < x + 5

Answer:

25

Step-by-step explanation:

32/100=8/x

cross multiply

32x=100(8)

32x=800

/32. /32

x=25

hopes this helps please mark brainliest

The total weight of the carton after packing the apples is 29.825 kg.

Empty carton: 8.350 kg

Apples: 21.475 kg

Since we are placing the apples inside the empty carton, now the carton will also contain the weight of the apples, additional to its own weight.

8.350 kg + 21.475 kg= 29.825 kg.

The total weight of the carton after packing the apples is 29.825 kg.

Answer:

89 m

Step-by-step explanation:

p/2 = 376/2 = 188 m

l + a = 188

a = 188 - l

a = 188 - 99

a = 89 m

When the card is a jack, there is a 0.25 probability that you will receive a spade.

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

P(Spade) = 13/52 = 1/4 P(Jack) = 4/52

= 1/13 P(Spade and Jack)

= (1/4)(1/13) = 1/52 P(Spade/Jack)

= P(Spade and Jack)/P(Jack)

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4 = 0.25

Hence, When the card is a jack, there is a 0.25 probability that you will receive a spade.

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Complete question-

A single card is drawn from a standard 52- card deck. Find the conditional probability that the card is a spade, given that it is a jack.?

The sum of 3/4 and 4/5 is 31/20 and To divide the common denominators by the individual denominators without using fractions or decimals, we need common denominators or the LCM of the two denominators.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, are two fractions 3/4 and 4.5 and their sum is,

= 3/4 + 4/5.

= (15 + 16)/20.

= 31/20.

So, the answer of the student is wrong.

We need common denominators or LCM of the two denominators so that we can divide the common denominators by the individual denominators without having fractions or decimals.

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Answer:

If one of the answers is 5 hours and 50 minutes, that. If its 7 hours and 30 minutes, that. In between is 6 hours and 40 minutes.

Step-by-step explanation:

There are 160 ways to fill the four committee positions.

What is Combination?

Faculty members can be selected in A = 2 ways

Male student can be selected in B= 4 ways

Female student can be selected in C = 4 ways

One parent can be selected in D = 5 ways.

Total number of ways to select committee of four = A*B*C*D

= 2* 4 * 4 * 5

= 160 Ways

Hence, there are 160 ways to fill the four committee positions.

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The volume of water that runs off the Shoppes at Fremont parking lot after a 5 cm rainfall event is [tex]1000m^{3}[/tex].

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

Volume is sometimes referred to as capacity. For instance, a cylindrical jar's volume can be used to calculate how much water it can hold.

Basically, the volume of a liquid is measured in liters, where 1 liter is equal to 1000 cubic centimeters.

1 liter = 1000 cubic centimeters = 0.001 cubic meters

Hence,

1 cubic meters = 1000 liters

Given,

[200m x 100m = [tex]20000m^{2}[/tex]]

[5cm x 1m/ 100cm = 0.05m]

20,000m2 x 0.05m = [tex]1000m^{3}[/tex]

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Answer:

Step-by-step explanation:

To find the arc length of the polar curve r = 8cosθ between 0 and π/4, we can use the formula for arc length:

L = ∫a^b √(r^2 + (dr/dθ)^2) dθ

Substituting in the values for r and dθ, we get:

L = ∫0^(π/4) √(8^2cos^2θ + (-8sinθ)^2) dθ

= ∫0^(π/4) √(64cos^2θ + 64sin^2θ) dθ

= ∫0^(π/4) √(64) dθ

= ∫0^(π/4) 8 dθ

= 8(π/4 - 0)

= 8π/4

= 2π

Therefore, the arc length of the polar curve r = 8cosθ between 0 and π/4 is 2π.

Answer:

hola

Step-by-step explanation:

Answer: You say Hola

Step-by-step explanation:

Which sounds like (Ohw·laa)  = This means Hi or Hello

Since the formula for P only applies to positive z, the minus sign must be removed if z is negative.We change 1.96 to 1.65 for a CI of 90%, and we use 2.57 for a CI of 99%.

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The required graph is as follows.

The graph of an equation in x and y is the value of y for the

corresponding value of x.

Given,

y = -x - 2

or x + y = -2

The line cuts x axis when y = 0 and cuts y axis when x = 0.

Therefore, the line cuts x axis at x = -2

                  the line cuts y axis at y = -2

Hence, required graph is:

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The difference between 246 and 31 tripled is

The problem is solved using subtraction

the term difference is similar to subtraction in mathematics

Then tripling is raise to power 3 or exponents of 3, hence after subtraction then exponents is applied to the end result of subtraction to give the answer

The subtraction

= 246 - 31

= 215

The exponents

= 215³

= 215 * 215 * 215

= 9938375

'

On the second thought, we have a different answer in this case

= 246 - 31³

= 346 - 31 * 31 * 31

= -29545

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Answer:

See below!

Step-by-step explanation:

From the statement, we get:

108 + x = 180

Subtract 108 to both sides

x = 180 - 108

Also,

y + 88 = 180

Subtract 88 to both sides

y = 180 - 88

[tex]\rule[225]{225}{2}[/tex]

Answer:

X= 72

y= 92

Step-by-step explanation:

108 + x = 180

x = 180 - 108

x = 72°

y + 88 = 180

y = 180 - 88

y = 92

Answer:  1.8  divided by 0.6 is 3

The equation of the model for 1.8 is divided by 0.6 will be E = 1.8 / 0.6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number 1.8 is divided by the number 0.6. The mathematical model for the division can be written as:-

E = 1.8 / 0.6

Hence, the equation of the model for 1.8 is divided by 0.6 will be E = 1.8 / 0.6.

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If you make the minimum payment on your card within the 25-day period, the credit card company will not charge you interest. Option D is correct.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the statment, "Your due date is at least 25 days after the end of the billing cycle. We will not charge you interest on new purchases provided that you have paid your previous balance in full by the due date each month"
Since al the option are wrong except option D

Option D is true. because the statement mentioned the same statement as mentioned in the given statment.

Thus, Option D is correct.

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Answer:

Step-by-step explanation:

The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

What are the coordinates?

Any one of a group of numbers used to describe where a point is on a line, a surface, or in space coordinates of latitude and longitude

Here, we have

If the following data were transformed and points with coordinates (x, log(y)) were plotted then we have to find what points would be plotted.

From the table:

At x = 2 and y = 49 ⇒ (x,log(y)) = ( 2 , log 49 ) =  (2, 1.690)

At x = 3 and y = 343 ⇒(x,log(y)) = ( 3 , log 343) =  (3, 2.535)

At x = 4 and y = 2401 ⇒(x,log(y)) = ( 4 , log 2401) =(4, 3.380)

Hence, The points that would be plotted are (2, 1.690), (3, 2.535), and (4, 3.380).

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Yes, a triangle can be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters this is in the case whereby the lengths of any two sides combined is longer than the length of the 3rd side.

Triangle inequality, in Euclidean geometry, theorem  can be described as the theorem that states that the  sum of any two sides of a triangle is greater than or equal to the third side.

This can be represented using the  symbols, {a + b ≥ c.}  and this can be explained that the the shortest distance between two points is a straight line.

Then cherck this illustration to confirm that we are right:

7.3 + 4.6 > 11

7.3 + 11 > 4.6

4.6 + 11 > 7.3

Hence from this we can see that triangle can be drawn

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Answer: 2640

Steps:

There are different ways you can solve this

METHOD 1

1. Find what 4% of 22,000 is

0.04 × 22,000 = 880

You do this so that you can find out the increase from the original number of people in the city

2. Find out what 3 years of increase is

880 = 1 year's worth of increase

880 × 3 = 3 year's worth of increase

2640 = 3 year's worth of increase

Therefore the population increase is 2640 ( 12% )

METHOD 2

1. Find out what 12% of 22,000 is

4% = 0.04

12% = 3 × 0.04

12% = 0.12

12% of 22,000 = 0.12 × 22000

12% of 22,000 = 2640

Therefore the population increase is 2640 ( 12% )

There are 60 professors and 168 lecturers according to the given information.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main BODY:

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

Y = 1140 / 19

Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

Hence thre are 60 professors and 168 lecturers.

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a) After 10 years, the amount (future value) in the mutual fund will be $27,679.22.

b) The total amount deposited in the mutual fund is $23,000.

c) The amount of interest earned on the quarterly deposits is $4,679.22.

The future value is the compounded present value of periodic deposits.

The future value is compounded at an interest rate per period.

We can compute the future value using an online finance calculator, which also shows the total deposits and interest earned.

N (# of periods) = 40 quarters (10 years x 4)

I/Y (Interest per year) = 3.7%

PV (Present Value) = $0

PMT (Periodic Payment) = $575

Results:

Future Value (FV) = $27,679.22

Sum of all periodic payments = $23,000 ($575 x 40 quarters)

Total Interest = $4,679.22

Thus, making a quarterly deposit of $575 for 10 years at 3.7% APR will yield a future value of $27,679.22.

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Answer:

Data set 1: 20

Data set 2: 25

Step-by-step explanation:

Range is where you take the lowest value and subtract it from the highest value. So with data set 1, the highest number is 40 and the lowest is 20.cSo 40-20=20. Answer 20. Then with data set number 2, the highest number is 60 and the lowest is 35. So 60-35=25. Answer 25.

I hope this helps!!!

Volume = 201 cm

Here is an equation to help you find the volume of a cone:

V=πr²[tex]\frac{h}{3}[/tex]=π·4²·[tex]\frac{12}{3}[/tex] ≈ 201.06193cm³

This equation is what I used to solve your question. The answer is 201.06193, but is says round to the nearest whole number, so the answer is actually 201 cm.

In the equation:

V means Volume

π means Pi (3.14)

r² means radius squared

[tex]\frac{h}{3}[/tex] means height divided by 3

4² means 4 · 4

[tex]\frac{12}3}[/tex] means 12 ÷ 3

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

After solving, the maximum height of the ball is 90.25 feet.

In the given question,

A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.

The quadratic function

h(t) = -16t^2+52t + 48 models the ball's height about the ground, h(t) in feet, t seconds after it was thrown.

We have to find the maximum height of the ball.

Height is given that;

h(t) = -16t^2+52t + 48

Now comparing the given equation by the standard equation ax^2+bx+c=0

Here b = 52, a = -16

For maximum height put t= -b/2a

t = -52/2(-16)

t = 52/32

t = 1.625

Maximum height

h(1.625) = -16(1.625)^2+52(1.625) + 48

h(1.625) = -42.25+ 84.5 + 48

h(1.625) = 90.25 feet

The maximum height of the ball is 90.25 feet.

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The ingredients for 4 brownies would be: 1/2 cup butter, 15/4 ounces unsweetened chocolate, 9/8 cup sugar, 3 teaspoons vanilla, 3 eggs, and 3/4 cup flour.

A percentage is a component of a total amount, and the measures are related by the rule of three.

Keep in mind that in a particular ratio, such as: a/b=c/d a*d=b*c

Create the following ratio for each ingredient:1/8 cup butter, 5/8 ounces of unsweetened chocolate, 1/4 cup sugar, 1/8 teaspoon vanilla, 1/2 egg, and 3/16 cup flour.

Explanation:

Given that the original recipe calls for 16 brownies;

Butter:

(1/8)/16=b/12

(2/3)(12)=16b

8=16b

b=1/2

Chocolate:

5/16=c/12

60=16c

c=60/16

c=15/4

Sugar: (3/2)/16=s/12

(3/2)(12)=16s

18=16s

s=18/16

s=9/8

Vanilla: 2/16=v/12

24=16v

v=3/2

Eggs: 2/16=e/12

e=3/2

Flour:1/16=f/12

f=3/4

As a result, the following would be the components for four brownies,

3/4 cups flour, 1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, and 3/2 eggs.

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The given conditions to find the values of all six trigonometric functions is cos (x) =-5/9, sin (x) = 2 root(14)/9, tan(x)= - 2 root(14)/5 and cot(x)= - 5 (2 root 14), csc(x)= 9 /2root (14).

What is trigonometric functions ?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the connection between the angles and sides of a triangle.

[tex]$\sec (x)=-\frac{9}{5} < 0$[/tex]and [tex]$\tan (x) < 0$[/tex]

so, x is in the second quadrant.

So, [tex]$\cot (x), \cos (x)$[/tex]are negative and [tex]$\sin (x), \csc (x)$[/tex] are positive.

Hence,

[tex]$$\begin{aligned}\cos (x) & =\frac{1}{\sec (x)}=-\frac{5}{9} \\\sin (x) & =\sqrt{1-\cos ^2(x)}=\sqrt{1-\frac{25}{81}}=\frac{2 \sqrt{14}}{9} \\\tan (x) & =\frac{\sin (x)}{\cos (x)} \\& =-\frac{2 \sqrt{14}}{5} \\\cot (x) & =\frac{1}{\tan (x)}=-\frac{5}{2 \sqrt{14}} \\\csc (x) & =\frac{1}{\sin (x)}=\frac{9}{2 \sqrt{14}}\end{aligned}$$[/tex]

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