Tommy ate 512 of pizza, Johnny ate 14 of the pizza, and Mike ate 112 of the same pizza. How much of the pizza did they eat together?

Answer:

( [tex]-\infty[/tex], 0) and (8, [tex]\infty[/tex])  

Step-by-step explanation:

Curve is concave downward when the second derivative is negative.

y' = [tex]\frac{x^{2} }{x^{2} -x+4}[/tex] , by the Fundamental Theorem of Calculus

y'' =   [tex]\frac{-x^2+8x}{\left(x^2-x+4\right)^2}[/tex] , which has a denominator that is always positive. The numerator [tex]-x^2+8x[/tex] is negative when x > 0 and when x < 8. So that is when y'' is negative, and consequently when the curve y is concave down.

Answer:

Hello again!

Original coordinates: 5, -2

New coordinates: 0, 4

Heres a picture demonstration to find the new coordinates. How I moved 5 left and 6 up

Hope that helps!

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

The slope is not affected. The y-intercept does not increase. The correct option is A.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

Given that if the graph of a linear equation is translated 4 units down. The slope remains unaffected. The y-intercept does not grow.

To know more about coordinate geometry follow

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Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.

Amount of fertilizers required for 0.5 acres = 1 onces.

Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.

The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.

In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.

Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.

explanation;

13 0nces of fertilizers required for 6.5 acres

for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces  

for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.

Hence required fertilizers = 1 onces.

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Find the measure of each angle indicated.

○ 44°

○ 68°

○ 59°

○ 100°

We will simply substitute the given values in the formula,

⇒ Sum of all angles of a Quadrilateral = 360°

⇒ ∠S + ∠T + ∠Q + ∠R = 360°

Substituting the values given, We get,

⇒ 95° + 85° + 80° + ∠R = 360°

Calculating further, We get,

⇒ 260° + ∠R = 360°

Transposing 260° to Right Hand Side, We get,

⇒ ∠R = 360° - 260°

Calculating further, We get,

⇒ ∠R = 100°

∴ ∠R = 100°

The measure of ∠R is 100°

Hence, Last option i.e., 100° is correct answer.

Answer:56.55

Step-by-step explanation:

2 x pi x radius which is half of 18 so 9 is about 5.487 and rounded to the nearest hundredth is 56.55.

Answer:

In other words, they want you to find the volume of the cone.

Volume of a cone=1/3 (pi * radius^2 *h)

Volume=1/3 [3.14* (22)^2 * 120]

Volume=1/3 (3.14*484*120)

Volume=1/3 (182371.2)

Volume= 182371.2/3

Volume=60790.4

The volume of the cone is 60790.4mm^3

But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters  

Step-by-step explanation:

Hope this helps

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Answer:

0.64

Step-by-step explanation:

Prob ( Head ) = 40% = 0.4 , Prob ( Tail )  = 1 - 40% = 60% = 0.6

4 outcomes =  (Head Tail) , (Tail Head) , (Head Head) , (Tail , Tail)

Prob (Atleast one head) = Pr (Head Tail) + Pr (Tail Head)  + Pr (Head Head)

(0.4) (0.6) +  (0.6) (0.4) = 0.24 + 0.24 + 0.16 = 0.64

2 y determinant is the answer

Answer:

my only question is A

Step-by-step explanation:

when you have a 30-60-90 triangle, you sides will always have a set pattern

Answer: A) {6, 12, 12 3 }

explanation: The sides of a 30-60-90 triangle will always have a consistent design. Thus, the answer is A.

Answer:

well Liam is right that is the same statement

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

Answer:

x = - 7

Step-by-step explanation:

Given that the terms are in AP , then

a₃ - a₂ = a₂ - a₁ , substitute values

3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides

3x + 4 - 2x + 1 = 2x - 1 - 2x - 1

x + 5 = - 2 ( subtract 5 from both sides )

x = - 7

Step-by-step explanation:

The theoretical probability is greater than experimental probability

Answer:

Step-by-step explanation:

Experimental probability is determined by trials and Theoretical probability is greater than experimental probability

Answer:

p = 18 in

a = 25 in²

Step-by-step explanation:

perimeter = sum  of the sides

p = 4 1/3 + 5 1/3 + 8 1/3

p = 18 in

Area = 1/2 * base * height

a = 1/2 * 8 1/3 * 6

a = 1/2 * 50

a = 25 in²

Answer:

[tex]p=18\:\mathrm{in},\\A=25\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of a triangle is given by [tex]A=\frac{1}{2}\cdot b\cdot h[/tex]. By definition, the base and height must intersect at a [tex]90^{\circ}[/tex] angle.

In this diagram, we notice that the lengths [tex]8\frac{1}{3}[/tex] and [tex]6[/tex] intersect at a [tex]90^{\circ}[/tex], so we can use them as the base and height of the triangle, respectively.

Therefore, the area of the triangle is equal to:

[tex]A=\frac{1}{2}\cdot 6\cdot 8\frac{1}{3}=3\cdot \frac{25}{3}=\boxed{25\:\mathrm{in^2}}[/tex].

The perimeter is simply the sum of all sides of the triangle. Thus, we have:

[tex]p=4\frac{1}{3}+8\frac{1}{3}+5\frac{1}{3}=4+8+5+1=\boxed{18\:\mathrm{in}}[/tex]

Answer:

24

Step-by-step explanation:

Original Number :-

Given that ,

Let ,

Number ,

On interchanging the digits :-

→ Number = 10( 6-x) + x

→ Number = 60 - 10x + x

→ Number = 60 - 9x

According to Question,

→ 9x + 6 + 18 = 60 - 9x

→ 18x = 60 - 24

→ 18x = 36

→ x = 36/18

→ x = 2

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

The probability of the sample from 10 to 25 will be 60%. Then the correct option is B.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Based on the density graph below.

Then the probability of a value in the sample space being anywhere from 10 to 25 will be

P = (25 - 10)/(25 - 0)

P = 15/25

P = 0.6

P = 60%

Thus, the probability of a value in the sample space being anywhere from 10 to 25 will be 60.

Hence the correct option is B.

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Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3,16, 7, 19, 1, 12, 3,9,16,12

First list in ascending order:

= 1 3 3 7 9 12 12 16 16 19

The median is the mean of the middle 2 numbers:

Median = (9 + 12) / 2 = 10.5.

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

$54659.21

Step-by-step explanation:

By using the formula of 9270 * (1.053)^34 I can find the annual compound interest.. I reccomend using a calculator.

Answer:

35x4

Step-by-step explanation:

Answer:

$ 4096 on the 7th day

Step-by-step explanation:

From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.

So therefore:

Day 1 =4⁰

Day 2=4¹

Day 3=4²

Day 4=4³

Day 5=4⁴

Day 6=4⁵

Day 7=4⁶

Therefore on day 7 he saves 4⁶ which is $4096

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∴ ∅ = cos^-1 ( w/d )