Determine the vertex of (f)=-×^2+50×-456

(a) 6

(b) 9

The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.

(a) To find the units of the square of -2346,

i. First find the square of (-2346)

(-2346)² = (-2346) x (-2346) = 5503716

ii. Now find the rightmost digit.

The rightmost digit of 5503716 is 6.

Therefore, the units of the square of (-2346) is 6

(b) To find the units of the square of -5677,

i. First find the square of (-5677)

(-5677)² = (-5677) x (-5677) = 32228329

ii. Now find the rightmost digit.

The rightmost digit of 32228329 is 9.

Therefore, the units of the square of (-5677) is 9

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

for more search question income

https://brainly.com/question/30157678

#SPJ8

63% of people Surveyed shop at a local grocery store.

A number can be expressed as a fraction of 100 using a percentage. The word "%" stands for percentage.

For instance, 50% represents 50 out of 100, or 0.5 in decimal form. Frequently, proportions, rates, and changes in quantity are represented as percentages.

In many aspects of daily life, including the calculation of sales tax, loan interest rates, and price discounts, percentages are frequently utilised. They are also employed in many academic disciplines, including math, physics, economics, and statistics.

The equality of two ratios is referred to as a percentage in mathematics. A ratio is a comparison of two amounts or values;

it is frequently stated as a fraction.

For instance, "3/5" can be used to represent the proportion of boys to girls in a classroom.

An assertion of equality between two ratios is a proportion.

For instance, the ratio of males to girls is the same as the ratio of boys to all pupils,

hence the sentence "3/5 = 6/10" is a proportion.

Analysis: -

people surveyed at store = 45

total no. of people = 72

the

Percent of peopla = 45/72  x100

= 0.625 × 100

= 62.5 %

= 63 %

63% of people Surveyed shop at a local grocery store.

To learn more about percentage visit:

https://brainly.com/question/29306119

#SPJ1

Answer:

6,690 boxes per hour

Step-by-step explanation:

Given:

Number of boxes fill = 6,021

Time is taken = 0.9 hour

Find:

Number of boxes fill per hour

Computation:

Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)

Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)

Number of boxes fill per hour = 6,690

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

To learn more about distance between two points click :

https://brainly.com/question/12661159

#SPJ1

Answer:

540 feet

Step-by-step explanation:

\(\frac{36}{100} = \frac{x}{1500}\)  Cross multipy

100x = 54000

54000/100 = 540

x = 540

Answer:

(2/3)r=30

r=45cm

Step-by-step explanation:

When trying to find a fraction of something, multiply to get your answer:

(2/3) of r = (2/3)r

The blue ribbon can be represented by both 30cm and (2/3)r cm:

(2/3)r=30

2r=90

r=45cm

For Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Mai says f(x) is always greater than g(x) for the same value of x.

Now, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

Therefore, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

To solve more questions on functions, visit the link below-brainly.com/question/17613163

#SPJ1

Answer:

z=(x-mu)/o

Step-by-step explanation:

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

b) Y = 72"

c) 72' women can be taken as very tall but men moderately taller than average

d) Y<5'5" =65"

e) X>73"

Z>

Almost 0% can be taken

f) IQR =Q3-Q1

The equation of the parabola in vertex form is

where the point (h,k) is the coordinate of the vertex. From our picture, we can note that (h,k)=(-6,-4).

By substituting these values into our first equation, we have

which gives

Now, we can find the constant a by substituting one of the other given point. If we choose point (0,-2) into this last equation, we get

which gives

then, by moving -4 to the left hand side, we have

and finally, a is equal to

hence, the equation of the parabola in vertex form is

Now, lets convert this equation into a standrd form. This can be done by expanding the quadratic term and collecting similar term. That is, by expanding the quadratic terms, we obtain

now, by distributing 1/18, we have

which is equivalent to

and finally, the parabola equation in standard form is

Answer:

10

Step-by-step explanation:

if you multiply 14 by 2 you get 28, therefore you have to multiply the numerator by 2 also, which gives you 10

Answer:

10/28

Step-by-step explanation:

5/14 = x/28

See that 28 is 14*2

So multiply 14*2 to get 28, and 5 * 2 to get 10

5 / 14 * 2/2 = 10 / 28

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Hotdogs = 25    Chili dogs = 28

I believe it correct

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

For more questions on: diameter

https://brainly.com/question/30460318

#SPJ8  

Answer:

C - On the number line, move 3 units to the left. End at -7. The dolphin was 7 feet below sea level.

Step-by-step explanation:

The dolphin's starting point was -4 (4 feet below sea level). If the dolphin if diving down by 3 feet, you add -3 to its starting point.

-4 + -3 = -7.

Answer:

x < 2 is the answer oh and do the 3rd line option

Answer:

-43

Step-by-step explanation:

just plug in -9 for x and solve

g(-9)=4(-9)-7

=-43

Answer:

X=8

Step-by-step explanation:

11x=2=8x=+26

11x -8x = -2 +26

3x=24

X=8

The value of C is; 1/3 for the probability density function f(x)=cx , 0<x<2.

The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

Given that the function

f(x)={cx} ,at 0, 0≤x≤2

Here, we can see that the value of x is varies as 0,1,2

So, at 0,1,2 the value of the function is;

f(1) = c

f(2) = 2c

Thus, the probability density function is given as:

Summition f(x) = f(1) + f(2)

f(x) =c + 2c = 1

3c = 1

c = 1/3

Therefore, the value of C is 1/3

To know more about probability density function follow

brainly.com/question/14214648

#SPJ1

Answer:

BIG DOG LITTLE DOG FAT DOG ADORABLE DOG

BIG LLAMA LITTLE LLAMA FAT LLAMA ADORABLE LLAMA

BIG ELEPHANT LITTLE ELEPHANT FAT ELEPHANT ADORABLE ELEPHANT

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

Learn more about limits here:

https://brainly.com/question/12211820

#SPJ1

Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

Learn more about Projectile here:

https://brainly.com/question/28043302

#SPJ1

Answer: For this method you could take away two from the Rate of charge,.

9 to 10 = -19

Step-by-step explanation: 6 to 7 = -13, 7 to 8 = -15, 8 to 9 = -17, 9 to 10 = -19,.

Answer:

For this method you could take away two from the Rate of charge,.

9 to 10 = -19

Step-by-step explanation:

6 to 7 = -13, 7 to 8 = -15, 8 to 9 = -17, 9 to 10 = -19,.

If Luis made $8 at his lemonade stand on Friday and 3 times as much on Saturday, then on Saturday he made:

3 * $8 = $24

Therefore, Luis made a total of:

$8 + $24 = $32

Luis made $32 in total over the two days.

Answer:

2.849

Step-by-step explanation:

Which elephants weight is 2.85 tons when rounded to the nearest hundreth

Answer:

I think the answer is 7×2+8

7×2=14+8=22.

The area of the region bounded by the parabola x = y² + 2 and the line y = x - 8 is; -125/6

We want to find the area of the region bounded by the parabola x = y² + 2 and the line y = x - 8.

Let us first try to found the two boundary points.

Put y² + 2 for x in the line equation to get;

y = y² + 2 - 8

y² - y - 6 = 0

From quadratic root calculator, we know that the roots are;

y = -2 and 3

Thus, the area will be the integral;

Area = ∫³₋₂ (y² - y - 6)

Integrating gives;

¹/₃y³ - ¹/₂y - 6y|³₋₂

Plugging in the integral boundary values and solving gives;

Area = -125/6

Read more about Integral Boundary Area at; https://brainly.com/question/23277151

#SPJ1

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

For more question triangle

https://brainly.com/question/29135702

#SPJ8

the recommended range of water consumption is defined by the compound inequality:

14.84  ≤  x ≤ 38.28

The water utility charges a fixed amount of $38 plus $1.28 per hundred cubic feet of water. So, if you consume x hundred cubic feet of water, the cost is given by the linear relation:

$38 + $1.28*x

Now, this needs to be between $57 and $87 (values included) so we can write the inequality:

$57 ≤  $38 + $1.28*x ≤ $87

Now we just need to solve this for x. If you subtract $38 in both sides you will get:

$57 - $38  ≤  $1.28*x ≤ $87 - $38

$19  ≤  $1.28*x ≤ $49

Now we divide by $1.28 so we get:

$19/$1.28  ≤  x ≤ $49/$1.28

14.84  ≤  x ≤ 38.28

So to be in the recommended range of water consumption, your water consumption x must be in the range:

[14.84, 38, 28]

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1