Five people will equally share 2 pizzas.How much pizza will each person will receive?

Answer:

A.  2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

=  64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

Answer:576

Step-by-step explanation: For every year, Carter’s telephone bill will be $576. This is because is we know how much he is charged a month, we can take that number and multiply it by 12. We are multiplying it by 12 because there are 12 months in 1 year. Once we multiplied it that’s how we find out the cost for 1 year.

Have a great day,

Eric

Answer:

haha I just answered a question kind of like this one. The answer would be 4.

Step-by-step explanation:

Although the 2 point circle is still the largest, the rim is skinnier now and the rim of the 4 point is now the biggest area avalible for the dart to be thrown at

Answer:

The answer is (a) The probability of scoring 0 is more likely.

Step-by-step explanation:

Answer:

Option A. [tex]65\ ft^{2}[/tex]

Step-by-step explanation:

we know that

In a right triangle the legs are perpendicular

so

the area is equal to multiply the two legs and  divide by two

[tex]A=\frac{1}{2}(10)(13)=65\ ft^{2}[/tex]

Final answer:

To find the area of a right triangle with legs of length 10 feet and 13 feet, you multiply the lengths and divide by 2. The calculated area is 65 square feet, making option A the correct answer.

Explanation:

The question is asking about the area of a right triangle. To find the area of any triangle, you use the formula A = (base × height) / 2. Since a right triangle has two legs that are perpendicular to each other, these legs can be considered as the base and the height of the triangle. In our case, we have legs of lengths 10 feet and 13 feet, so applying the formula:

A = (10 ft × 13 ft) / 2
= (130 ft²)/2
= 65 ft²

So, the area of the right triangle is 65 square feet, which corresponds to option A.

Answer:

Option d

Step-by-step explanation:

We need 2 fundamental data to solve this problem.

1.- Average number of clients attended in 1 hour.

2.- Time in which it is expected that a client will be attended.

They tell us that the average number of clients served in an hour is m = 8

They tell us to calculate the probability that the client will be seen in less than 15 minutes.

But the time t in the formula is given in hours.

Therefore we must write 15 minutes according to hours.

We know that [tex]1\ hour = 60 minutes[/tex].

So:

[tex]15\ minutes[\frac{1\ hour}{60\ minutes}] = 0.25\ hours[/tex].

Now we substitute in the formula [tex]m = 8[/tex] and [tex]t = 0.25[/tex] to find P.

[tex]P = 1 -e^{-mt}\\\\P = 1- e^{-(8)(0.25)}\\\\P = 1 - e^{-2}\\\\P = 0.8646\\\\P= 86\%[/tex]

Answer:

D edge

Step-by-step explanation:

Answer:

  A.  2

Step-by-step explanation:

There is a vertical asymptote where the denominator is zero. (x-2) is zero when x=2.

Answer:

a:  105.2 < µ < 112.8

b:  104.872 < µ < 113.128

c:  105.841 < µ < 112.159

d:  No, because n < 30

Step-by-step explanation:

For a - c, see attached photos for work.  There are 2 formulas to use.  The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.  

d:  With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.

Answer:

b

Step-by-step explanation:

Answer: 1 hour and 15 minutes

Step-by-step explanation: When you multiply the 3 piano solos each for 5/12 of an hour you get 15/12 or 1 and 1/4. Then since 1/4 of an hour is 15 minutes, you will know that the answer is 1 hour and 15 minutes.

Answer:

Answer best buy is C 24 0.5-liter bottles for $5.25

Step-by-step explanation:

Answer:

its C trust me

Answer:

[tex]\large\boxed{A\subseteq B}[/tex]

Step-by-step explanation:

[tex]A=\{1,\ 2,\ 3\},\ B=\{3,\ 2,\ 1\}\\\\4\in A-FALSE,\ \text{because only}\ 1\in A,\ 2\in A\ \text{and}\ 3\in A\\\\A\subseteq B-TRUE,\ \text{because any elements of A are the elements of B.}\\\\A\ \text{is infinite set}-FALSE,\ \text{because set A has a finite number of elements}\\\text{(three elements)}\\\\\O\notin B-FALSE,\ \text{because the empty set is subset of any set.}[/tex]

[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=13.5\\ h=90 \end{cases}\implies SA=2\pi (13.5)(90+13.5) \\\\\\ SA=27\pi (103.5)\implies SA=2794.5\pi \implies SA\approx 8779.18[/tex]

well, the last part will be with a calculator, but you can simply use the area in π terms.

Answer:

  the limit is 1/16

Step-by-step explanation:

At x=4, the function is indeterminate: 0/0, so l'Hopital's rule can be used to find the limit. Differentiating numerator and denominator, you get ...

  lim = (1/√x) / (2x)

Evaluating this at x=4 gives (1/2)/8 = 1/16.

The limit as x approaches 4 is 1/16.

Answer:

It's A . 13 / (5√10)

Step-by-step explanation:

AD =   √(3^2 + 4^2) = √25

= 5 ( By the Pythagoras Theorem).

So sin 2α = 3/5 and cos 2α = 4/5.

m < B = α ( external angle of a triangle theorem)

and BD = AD = 5 (Isosceles triangle) and  BC = 4+5 = 9.

AB =  √(3^2 + 9^2) = √90 = 3√10

So sin α = 3 / 3√10 =  = 1 /√10  and cos α = 9 /3√10  = 3/√10.

Finally sin 3α = sin (2α + α) = sin 2α cos α + cos 2α sin α

=  3/5 * 3 / √10 +  4/5 *  1/√10

=  13/(5√10).

Answer: 150

Step-by-step explanation: a scale of 150 because 150 times 8 is 1,200.

Answer:

150

Step-by-step explanation:

Answer:

b. 27

Step-by-step explanation:

When finding the limit of a function with no domain restrictions, just plug in the value and evaluate the function

2(2)³ + 2² + 7

    2(8) + 4 + 7

        16 + 4 + 7

                    27

Answer:

the value of the given limit is 27

Step-by-step explanation:

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

To find out the limit , we directly plug in 2 for x inside the given expression

[tex]\lim_{x \to 2} (2x^3+x^2+7)[/tex]

[tex]2(2)^3+(2)^2+7[/tex]

Evaluate the expression

[tex]2(8)+4+7[/tex]

[tex]27[/tex]

So, the value of the given limit is 27

the answer is 16 :)))))

Answer: Choice B.

Step-by-step explanation: The correct answer is choice B - 16. 16 is the largest number that can evenly be divided into both 32 and 48.

Answer:

x = 4

Step-by-step explanation:

We are given a figure QRST which has two right angled triangles in it and we are to find the value of x.

To find x, we first need to find the side length of RT.

[tex]sin  60=\frac{2\sqrt{3} }{RT}[/tex]

[tex]RT = \frac{2\sqrt{3} }{sin 60}[/tex]

[tex] RT = 4 [/tex]

Now finding the value of x:

[tex] tan 45 = \frac { x } { 4 } [/tex]

[tex] x = tan 45 \times 4 [/tex]

x = 4

Answer:

yes, distance travel in first 8 minute is 1.75 time higher than second 8 minutes

Step-by-step explanation:

Given data:

speed in first 8 minute is 1.75 faster than 2nd 8 minutes.

from the above information we can say that time remain same in both situation and we know that speed is given as

speed = distance / time

since time remain same in both case. Therefore speed is directly proportional distance having time as constant

As speed is 1.75 times higher in first 8 minutes than second 8 minutes therefore distance also behave in the same way i.e distance travel in first 8 minute is 1.75 time higher than second 8 minutes

∠LMN is a right angle

If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:

leg MN of both triangle is equal.

HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called 'legs', or 'base' and 'height'.

It means we have two right-angled triangles with

Since ∠ LMN and ∠KMN are right angle , the hypotenuse LN and and one leg LN of one right-angled triangle LMN are equal to the corresponding hypotenuse KN and leg MN of another right-angled triangle MKN, hence the two triangles are congruent.

Answer:

A) A sequence is an ordered list of numbers; B) The terms an approach 8 as n becomes large; C) The terms an become large as n becomes large.

Step-by-step explanation:

A) A sequence is an ordered list of numbers, letters, colors, or other objects.  It is essentially a pattern.

B) [tex]n \to \infty (a_n) = 8[/tex] shows n approaching infinity.  This means n, the term numbers of [tex]a_n[/tex], get large.  The fact that it equals 8 means that the terms of the sequence approach 8 as n gets large.

C) [tex]n \to \infty (a_n) = \infty[/tex] shows n approaching infinity.  This means n, the term numbers of [tex]a_n[/tex], get large.  The fact that it equals infinity means that the terms of the sequence become large as n becomes large.

To find probability you can use proportions

What i would do is 6/10 since it cant be 7 and then cross multiply it by 1/10.

This should get you 60%

The probability of selecting a ball numbered less than 7 from an urn containing balls numbered 1 to 10 is 6 favorable outcomes out of 10 possible outcomes, which simplifies to 3/5 or 0.6.

The question is asking about the probability of selecting a ball with a number less than 7 from an urn with balls numbered from 1 to 10. To determine this probability, we count how many balls have numbers less than 7 which are 1, 2, 3, 4, 5, and 6. That gives us 6 balls. Since all balls are equally likely to be chosen, and there are 10 balls in total, the probability of drawing one with a number less than 7 is the number of favorable outcomes divided by the total number of outcomes.

Here is the calculation:

Therefore, the probability of drawing a ball with a number less than 7 is 6/10 which simplifies to 3/5 or 0.6.

the original price would have been $36

Final answer:

The original price of a pair of shoes on sale for $27 after a 25% discount is calculated by dividing the sale price by 0.75, which gives us $36 as the original price.

Explanation:

To find the original price of a pair of shoes if the sale price is $27 after a 25% discount, we need to reverse the discount process. A 25% discount means that the sale price is 75% of the original price, since 100% - 25% = 75%. We can represent the original price with the variable 'P', and the equation we use is 0.75P = $27.

To find P, we divide both sides of the equation by 0.75:

P = $27 / 0.75

P = $36

Therefore, the original price of the pair of shoes was $36.

Answer:

option A

{1, 2, 4, 7, 9}

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable. Mostly it is 'x' values.

In the figure the tail of arrow represent values of domain and head of arrow represent values of range.

So,

{1, 2, 4, 7, 9} is the domain of G(x) and {3, 5, 8} is the range

Answer:

[tex]\large\boxed{D)\ \dfrac{8}{7}}[/tex]

Step-by-step explanation:

[tex]8\left(-\dfrac{2}{7}\right)\left(-\dfrac{1}{2}\right)\\\\\text{the product of two negative numbers is positive}\\\\8\cdot\dfrac{2\!\!\!\!\diagup^1}{7}\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=8\cdot\dfrac{1}{7}\cdot\dfrac{1}{1}=\dfrac{8}{7}[/tex]

Answer:

The value of x is equal to [tex]5[/tex]

Step-by-step explanation:

we know that

The diameter divide the circle into two equal parts

In this problem

MO=NO

substitute the values

[tex]5x-7=18[/tex]

solve for x

Adds 7 both sides

[tex]5x=18+7[/tex]

[tex]5x=25[/tex]

Divide by 5 both sides

[tex]x=25/5=5[/tex]

Answer:

1. [tex]\cot B=\frac{5}{12}[/tex]

2. [tex]\sin2A=\frac{24}{25}[/tex]

3. [tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]

4. [tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]

Step-by-step explanation:

If  [tex]\sin A=\frac{3}{5}[/tex] and [tex]\cos B=\frac{5}{13}[/tex], then we can use the Pythagorean identity to find [tex]\cos A[/tex] and [tex]\sin B[/tex].

[tex]\sin^2A+\cos^2A=1[/tex]

[tex](\frac{3}{5} )^2+\cos^2 A=1[/tex]

[tex]\frac{9}{25}+\cos ^2A=1[/tex]

[tex]\cos^2 A=1-\frac{9}{25}[/tex]

[tex]\cos^2 A=\frac{16}{25}[/tex]

[tex]\cos A=\pm \sqrt{\frac{16}{25}}[/tex]

Since A is in quadrant I,

[tex]\cos A=\sqrt{\frac{16}{25}}[/tex]

[tex]\cos A=\frac{4}{5}[/tex]

Also;

[tex]\sin^2B+\cos^2B=1[/tex]

[tex](\frac{5}{13} )^2+\sin^2 B=1[/tex]

[tex]\frac{25}{169}+\sin ^2B=1[/tex]

[tex]\sin^2 B=1-\frac{25}{169}[/tex]

[tex]\sin^2 B=\frac{144}{169}[/tex]

[tex]\sin B=\pm \sqrt{\frac{144}{169}}[/tex]

Since A is in quadrant I,

[tex]\sin B=\sqrt{\frac{144}{169}}[/tex]

[tex]\sin B=\frac{12}{13}[/tex]

This implies that;

[tex]\cot B=\frac{\cos B}{\sin B}[/tex]

[tex]\cot B=\frac{\frac{5}{13} }{\frac{12}{13} }[/tex]

[tex]\cot B=\frac{5}{12}[/tex]

[tex]\sin2A=2\sin A \cos A[/tex]

[tex]\sin2A=2\times \frac{3}{5} \times \frac{4}{5}[/tex]

[tex]\sin2A=\frac{24}{25}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\cos(B )-\sin(\frac{5\pi}{6})\sin(B)[/tex]

This implies that;

[tex]\cos(\frac{5\pi}{6}+B )=\cos(\frac{5\pi}{6})\times \frac{5}{13}-\sin(\frac{5\pi}{6})\times \frac{5}{13}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=-\frac{\sqrt{3}}{2}\times \frac{5}{13}-\frac{1}{2})\times \frac{5}{13}[/tex]

[tex]\cos(\frac{5\pi}{6}+B )=-\frac{5}{26}(\sqrt{3}+1)[/tex]

[tex]\tan(A-\frac{\pi}{4} )=\frac{\tan A-\tan \frac{\pi}{4} }{1+\tan A \tan \frac{\pi}{4}}[/tex]

But; [tex]\tan A=\frac{\sin A}{\cos A}[/tex]

[tex]\tan A=\frac{\frac{3}{5} }{\frac{4}{5} }=\frac{3}{4}[/tex]

[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-\tan \frac{\pi}{4} }{1+\frac{3}{4} \tan \frac{\pi}{4}}[/tex]

Simplify;

[tex]\tan(A-\frac{\pi}{4} )=\frac{\frac{3}{4}-1 }{1+\frac{3}{4}}[/tex]

[tex]\tan(A-\frac{\pi}{4} )=-\frac{1}{7}}[/tex]

Answer:

41

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Answer:

13.76

Step-by-step explanation:

Area of the whole

The area of the whole = s^2 (the firgure is a square

s = 8

Area of the whole = 8^2 = 64

Area of the unshaded part

The 2 half circles = 1 whole circle

The radius of the 1/2 circle = 4 (eight has been cut in half)

Area of two half circles = 2* (pi r^2/2)

Area of two half circles = 2 * (pi 4^2/2)

area of two half circles =  16*pi

Area of the shaded area

Area of the shaded area = area of the whole - area of the unshaded area

Area of the shaded area = 64 - 16*pi

Area of the shaded area = 64 - 3.14*16 = 13.76

Answer:

[tex]\large\boxed{C=22\pi y\ ft}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

We have the area of a circle

[tex]A=121y^2\pi ft^2[/tex]

Substitute to the formula and solve for r:

[tex]\pi r^2=121y^2\pi[/tex]            divide both sides by π

[tex]r^2=121y^2\to r=\sqrt{121y^2}\\\\r=11y\ ft[/tex]

Put the value of r to the formula of a circumference:

[tex]C=2\pi(11y)=22y\pi ft[/tex]