The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options..

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

Answer:

Part A: x⁴ + x³ + x²

Part B: (4·x + 2) + (-5·x + 6) = -x + 8

Step-by-step explanation:

Part A:

We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent

Therefore, we have

x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form

It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential

Part B:

Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;

(4·x + 2) + (-5·x + 6)

= 4·x + 2 - 5·x + 6

= 4·x - 5·x + 2 + 6

= -x + 8 which is a polynomial with the same variable and exponent.

Answer:

[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]    

[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X= 120[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size  

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=130-1=129[/tex]

The Confidence level is 0.99 or 99%, the significance would be [tex]\alpha=0.01[/tex] and [tex]\alpha/2 =0.005[/tex], and the critical value would be [tex]t_{\alpha/2}=2.614[/tex]

And replacing we got:

[tex]120-2.614\frac{5}{\sqrt{130}}=118.85[/tex]    

[tex]120+2.614\frac{5}{\sqrt{130}}=121.15[/tex]    

Answer:

3/14

Step-by-step explanation:

Express the beds as a fraction of the total output.

Beds = 15

Total output = 30 + 25 + 15 = 70

Proportion that is beds = 15/70

15/70 = 3/14

Answer:

The answer to your question is C.

Step-by-step explanation:

Have a nice day :)

The answer is < RQO and < STV

Hope it helps

Good luck on your assignment ..

Answer:

7 3/13

Step-by-step explanation:

34x-21x= 9+85

13x=94

x= 94/13

x=7 3/13

Answer:

Your Answer is $43.7

Step-by-step explanation:

Take the initial $38 and Multiply it by the .15 (15%) tip

You get a $5.7 tip

Add that to the meal cost of $38 and you get $43.7

Answer:

Step-by-step explanation:

real zeros -----> where f(x) = 0

[tex]-2x^{2} - 6x - 1 = 0\\[/tex] * (-1)

[tex]2x^{2} + 6x + 1 = 0\\[/tex]

Δ = [tex]6^{2} - 4 * 2 * 1[/tex] = 36 - 8 = 28

vΔ = 2[tex]\sqrt{7}[/tex]

x' = [tex]\frac{-6 + 2\sqrt{7} }{2 * 2} = \frac{-6 +2\sqrt{7} }4}[/tex]

x'' = [tex]\frac{-6 - 2\sqrt{7} }{2 * 2} = \frac{-6 -2\sqrt{7} }4}[/tex]

Answer: 180 houses

Step-by-step explanation:

From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.

Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:

= 10/3 × 30

= 10 × 10

= 100 flats

Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:

= 9/5 × 100

= 9 × 20

= 180 houses

Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²

Answer:

3

Step-by-step explanation:

The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!

Answer:

80 kg

Step-by-step explanation:

[tex]x \times (1+10/100)=88[/tex]

[tex]1.1x=88[/tex]

[tex]x=88/1.1[/tex]

[tex]x=80[/tex]

Answer:

Third angle = 70 degrees

tan (70) = 10 / x

x = 10 / tan (70)

x = 10 / 2.7475

x = 3.6396724295

x = 3.6 cm (rounded)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

We see that for x≤2 y = x + 2 so the answer is C.

Answer:

The percent of 18 out of 60 is 30%

Step-by-step explanation: If you multiply 18/60 x 100% the answer will equal to 30%.

Hope this helps :)

Answer:

D

Step-by-step explanation:

Here, we want to know the total amount of money shared

Total ratio is 2 + 4 + 9 = 15

Now, John and Peter with ratios 2 and 4 equals $360

If we combine their ratios, what we have would be

6:9

Let the amount shared be x

Now, mathematically

6/15 * x = 360

6x = 15 * 360

x = (15 * 360)/6

x = $900

Answer:

f(x)= 5x+2

Step-by-step explanation:

Slope is 5, y intercept is (0,2)

Answer:

work is pictured and shown

Answer:

Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.

Answer:

she didn't make any mistake

Step-by-step explanation:

She has expressed it correctly and if we calculate, the multiplication is also correct

Answer:

Step-by-step explanation:

1770/5 = the unti price

1770 / 5 = 354

354

[tex]solution \\ cost \: of \: 5 \: gallons \: of \: gas = 1770 \\ cost \: of \: 1 \: gallons \: of \: gas = \frac{1770}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 354 \\ [/tex]

hope it helps...

good luck on your assignment

[tex]the \: answer \: is \: one \\ explanation \\ there \: is \: only \: one \: such \: plane \: which \: \\ will \: have \: these \: two \: points. \: these \\ two \: points \: will \: satisfy \: only \: one \: pl - \\ ane \: equation \: because \: they \: doesnot \\ lie \: in \: a \: single \: line. \\ hope \: it \: helps[/tex]

Answer:

c

Step-by-step explanation:

one

Answer:

x²+6

Step-by-step explanation:

Let the number be x

⇒ Multiplying it by itself makes x × x = x²

⇒ Adding 6 makes it x²+6

Answer:

[tex] {x}^{2} + 6[/tex]

Step-by-step explanation:

thinked number = x

multiply by itself = x *x

[tex]x \times x \\ = {x}^{2} [/tex]

add 6 =+6

[tex] {x}^{2} + 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

-9x²+6

Step-by-step explanation:

f(x)=3x^2-2

g(x)=(-3) x f (x)

Answer:

[tex]\angle FMG=60^{\circ}[/tex]

Step-by-step explanation:

Given: [tex]\angle EMG=120^{\circ}\,,\,\angle EMF=60^{\circ}[/tex]

To find: [tex]\angle FMG[/tex]

Solution:

A trapezoid is a quadrilateral in which one pair of opposite sides is parallel. A trapezoid in which opposite angles are supplementary is known as an isosceles trapezoid. In any isosceles trapezoid, two opposite sides are parallel, and the two other sides are equal to each other.

Consider the figure:

[tex]\angle FMG=\angle EMG-\angle EMF\\=120^{\circ}-60^{\circ}\\=60^{\circ}[/tex]

Answer:

B) 2

Step-by-step explanation:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 2

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

[tex]i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1[/tex]

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

Answer: 1

Step-by-step explanation:

All real numbers because any value of x works

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2