Find the length of a diagonal of a rectangle of length 9 cm and width 4 cm

Answer:

Two complex roots

Step-by-step explanation:

A discriminant of a quadratic equation ax² + bx +c is:

For the given function f(x)= 6x² - 5x + 3 the discriminant is:

Since it has i element, the roots are complex

Correct option is the first one

Answer:

Carmen bought 5 pounds of coffee

Step-by-step explanation:

The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.

She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:

80 - 8.44x = 37.80

8.44x = 80 - 37.80

8.44x = 42.2

x = 42.2/ 8.44 = 5

x = 5 pounds.

Carmen bought 5 pounds of coffee

Answer as a fraction = 1/18

Answer in decimal form (approximate) = 0.0556

Answer in percent form (approximate) = 5.56%

========================================================

Explanation:

We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.

Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.

So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.

Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.

We have 6 x 6 = 36 ways to roll out two dice.

Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.

Those two outcomes are 1+2 and 2+1.

Thus, the number of events we want is 2 out of 36 total,

2/36 = 1/18 is the probability.

1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

Therefore,  the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Learn more about probability here;

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Answer:

The breadth of the room is 6 metres

Answer:

Step-by-step explanation:

Side of a tile= a  = 0.75 m

Area of one square tile = a²  = (0.75)² = 0.5625 m²

Area of 96 square tiles = 0.5625 * 96

Area of the room =  area of 96 square tiles

length * breadth = 0.5625 * 96

9 * breadth = 0.5625 * 96

     breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]

      breadth = 6 m

Answer:

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

Answer:

1/12

Step-by-step explanation:

Answer:

The answer is:  C. 1/12

Step-by-step explanation:

I know this is correct because I have the same question on my assignment and it was right.

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

Answer:c.31

Step-by-step explanation:

The value of function f (1) is,

⇒ f (1) = 31

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

A sequence is defined by the formula,

⇒ f (n+1) = f(n) - 3

Now, We can find the value of f (1) as;

Here, f (4) = 22

Put n = 3;

⇒ f (n+1) = f(n) - 3

⇒ f (3+1) = f(3) - 3

⇒ f (4) = f (3) - 3

⇒ 22 = f (3) - 3

⇒ 22 + 3 = f(3)

⇒ f(3) = 25

Put n = 2;

⇒ f (2+1) = f(2) - 3

⇒ f (2+1) = f(2) - 3

⇒ f (3) = f (2) - 3

⇒ 25 = f (2) - 3

⇒ 25 + 3 = f(2)

⇒ f(2) = 28

Put n = 1;

⇒ f (n+1) = f(n) - 3

⇒ f (1+1) = f(1) - 3

⇒ f (2) = f (1) - 3

⇒ 28 = f (1) - 3

⇒ 28 + 3 = f(1)

⇒ f(1) = 31

Thus, The value of function f (1) is,

⇒ f (1) = 31

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Answer:

3x√5 + 6√10x + 5√3x + 10√6

Step-by-step explanation:

(√3x + √5)(√15x + 2√30)

The above expression can be evaluated as follow:

(√3x + √5)(√15x + 2√30)

Expand

√3x (√15x + 2√30) + √5(√15x + 2√30)

x√45 + 2√90x + √75x + 2√150

Express in the best possible surd form.

x•3√5 + 2•3√10x + 5√3x + 2•5√6

3x√5 + 6√10x + 5√3x + 10√6

We can not simplify further.

Therefore,

(√3x + √5)(√15x + 2√30) =

3x√5 + 6√10x + 5√3x + 10√6

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

Hey there!

First, we want to put the equation of this first line in slope-intercept form.

5y=x-5

We divide both sides by 5.

y=1/5x-1.

The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.

So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.

y= -5x+b

Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.

0=-5(-1)+b

0=5+b

b= -5

So, this gives us the equation y= -5x-5

Have a wonderful day!

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation:

Answer:

$39.15

Step-by-step explanation:

We can find that Steve started with $39.15, by adding the price he has now and the price he paid for the pizza.

35.86+3.29=$39.15

Answer:

$39.15

Step-by-step explanation:

$35.86 + $3.29 = $39.15

hOpEfUlLy ThIs HeLpEd!! :33

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

[tex]23x = 141[/tex]

[tex]x = \frac{141}{23}[/tex]

[tex]x = 6.1[/tex]

Rounding up, he needs to buy 7 bags.

A similar problem is given at https://brainly.com/question/23536327

Answer: C) 17

Step-by-step explanation:

Let x be the number of large boxes

As per given,

Number of small boxes= 3 × (number of large boxes)

i.e. Number of small boxes= 3x

Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.

Total volume = 12  (number of large boxes) + 5(Number of small boxes)

= 12 x+ 5 (3x)

= 12x+15x

= 27x

A moving van’s cargo area has a maximum volume of 480 cubic feet.

[tex]\Rightarrow\ 27x \leq480[/tex]

Divide both sides by 27 , we get

[tex]x\leq17.78[/tex]

i.e. maximum value x can take = 17

So, the maximum number of larger boxes that she can fit in the van = 17.

Hence, the correct option is C) 17 .

Answer:

72 trips

Step-by-step explanation:

Hey there!

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

Hope this helps :)

Answer:

72 trips

Step-by-step explanation:

2,232÷31 = 72

Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Answer:

y= 1

Step-by-step explanation:

A circle forms a sphere only when it goes around a straight line throughout the center so y= 1 because it's (1,0).

The y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

It is given that the circle is on a coordinate plane with the centre at 1 on the y-axis.

It is required to find around which line would the following cross-section need to be revolved to create a sphere.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the centre of a circle).

We have a circle on the coordinate plane the centre of the circle lies on the y-axis at 1.

On y=axis the value of x is zero ie. x= 0

The centre of the circle = (0,1)

If a half-circle revovle around the axis which is dividing the circle into two halves.

As we can see in the graph the y-axis and y=1 divide the circle into two halves.

Thus, the line y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

Learn more about circle here:

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Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

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Answer:

55 games

Step-by-step explanation:

What we have to figure out is the total amount of games they played the whole year. We know they won 20% of their games, which equates to 11 games won in total. In order to find the total amount of games we will need to set up the equation [tex]g = 11/20[/tex]%. We solve this accordingly: [tex]g = (11/20) *100[/tex]; [tex]g = (.55)*100[/tex]; [tex]g = 55[/tex].

Answer:

B

Step-by-step explanation:

A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.

I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.

Looking at all of the options, only TON does not fit the bill, so that's the answer.

Constant of variation = number of chairs/ spacing.

80/16 = 5

The answer is B.5

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

[tex]g(x)=\frac{3}{5}x^2-3[/tex]

In this equation, we can calculated the intercept replacing x by 0, as:

[tex]g(x)=\frac{3}{5}0^2-3=-3[/tex]

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

[tex]0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236[/tex]

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, [tex]g(x)=\frac{3}{5}x^2-3[/tex]

Answer:

518 / 3.

Step-by-step explanation:

(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.

Hope this helps!

Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}