Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answer:

The volume of gallons used by Silvio = [tex]7\frac{13}{32}[/tex] gallons

Step-by-step explanation:

Total volume of milk = [tex]9\frac{7}{8}[/tex] = [tex]\frac{79}{8}[/tex]

amount used by Silvio = [tex]\frac{3}{4}[/tex] of total volume

This means that if the total volume of milk were divided into four parts, Silvio takes 3 out of 4 parts, and this is converted to volume as follows:

∴ amount used by Silvio = [tex]\frac{3}{4}[/tex] × [tex]\frac{79}{8}[/tex] = [tex]\frac{237}{32}[/tex] = [tex]7\frac{13}{32}[/tex] gallons

Answer:

6x^2+x-1

Step-by-step explanation:

(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)

=4x^2+x^2+x^2+2x+2x-3x+5-6

=6x^2+2x+2x-3x+5-6

=6x^2+x+5-6

=6x^2+x-1

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

Answer:

The answer is 5832

Step-by-step explanation:

18 ^3 is 5832

Answer:

1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

Given:

24, 16, 23, 30, 18, 29

The ordered steps involved in Calculating the median of the data set given :

1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :

16, 18,23,24,29,30

2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left

3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47

4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5

Answer:

A: 1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

edg2020

≈Answer:

a)What is the probability of buying 12 cups that don’t have any defect?

0.1955

b) And what is the probability of getting all 12 cups having a defect?

9.52 × 10⁻¹⁶

Step-by-step explanation:

In the question,we are given the following values:

12% of the 100 cups in stock have some unnoticeable defect.

The number of cups that have defect in stock is calculated as:

12/100 × 100 = 12 cups

The number of cups that doesn't have defect is calculated as:

Total number of cups in stock - Number of cups in stock that have defect.

100 - 12 = 88 cups

a) What is the probability of buying 12 cups that don’t have any defect?

Probability Formula = Number of events/ Number or possible outcomes.

The probability of buying cups that don't have any defect =

88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89  = 0.1955138721

Approximately = 0.1955

b) And what is the probability of getting all 12 cups having a defect?

Probability Formula = Number of events/ Number or possible outcomes.

= 12/100 × 11/99 × 10/98 ×  9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89  

= 9.519991996 ×10⁻¹⁶

Approximately = 9.52 × 10⁻¹⁶

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

Answer:

the product of negative five times a number and the quantity four plus three times the number

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Answer:

[tex]y = 2 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

Answer: 14.1 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.

cos α = adjacent side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder

Replacing with the values given:  

cos 62 = x/ 30

Solving for x

cos62 (30) =x

x= 14.1 feet

Feel free to ask for more if needed or if you did not understand something.  

Answer:

[tex]13\dfrac{3}{4}$ servings[/tex]

Step-by-step explanation:

Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.

He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]

Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .

Answer:

4 weeks

Step-by-step explanation:

The number of weeks for a total of 16 quizzes will be 4 weeks.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-

12 quizzes = 3 weeks.

1 quizzes = 3 / 12 weeks

16 quizzes = ( 3 / 12 ) x 16 = 4 weeks

Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.

To know more about Expression follow

brainly.com/question/723406

#SPJ5

Answer: [tex]\frac{104}{45}[/tex]

Step-by-step explanation:

[tex]2.31^-[/tex]

Let x be equal to that.

[tex]x=2.31^-[/tex]

Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.

[tex]10x=2.31^-*10[/tex]

This basically moves the decimal point one number to the right.

[tex]10x=23.11^-[/tex]

Subtract the first equation from this new equation.

[tex]10x=23.11^-\\-x=2.31^-[/tex]

--------------------------

The repeating decimal is eliminated and we are left with:

23.1

- 2.3

---------

20.8

We also have 10 - 1 = 9. We are left with:

[tex]9x=20.8[/tex]

Divide by 9.

[tex]x=\frac{20.8}{9}[/tex]

To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.

[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]

[tex]x=\frac{208}{90}[/tex]

Let's simplify.

208/2=104

90/2=45

[tex]x=\frac{104}{45}[/tex]

Answer:

Don’t really know what the question is, but these are the answers for x

Answer:

I think it is 16 cups in a gallon

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

Answer:

-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

-a^2-4a+3a+12

-a^2-a+12

Answer:

10 inches

Step-by-step explanation:

For we solve this, we can use proportionality

Using the following method

Mini box: height 4 inches and width 3.2 inches

The proportion is: 4 in (height) / 3.2 in (width)

Standard box: height x inches and width 8 inches

x in (height) / 8 in ( width)

So:

x /8= 4/ 3.2

Solving for x:

x = (4/ 3.2) 8

x = 10 inches

As the answer

Answer:

10 inches

Step-by-step explanation:

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Answer:

She needs 280 grams of almond flour.

Step-by-step explanation:

This question can be solved using a rule of three.

400 grams is 100% = 1. How much is 70% = 0.7?

400 grams - 1

x grams - 0.7

x = 400*0.7

x = 280

She needs 280 grams of almond flour.

Answer:

120g

Step-by-step explanation:

70% of flour in 400g is expressed as

= 70/100×400

=0.7×400

=280g

Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is

=400g-280g

=120g

Thus, Mrs Garcia requires 120g of almond flour

Answer:

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Step-by-step explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help

Answer:

15! ways

Step-by-step explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

Answer:

$6.90 is the cost of 9 tennis balls

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

Wyatt : 8c-48cd=8c(1-6d)

Xavier :36c-24c =12c(3-2)

Yang: 8c+40=8(c+5)

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer:

wyatt answered correctly

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

To find out how many solutions there are you must solve:

- 2 - 10z = - 4 - 10z

Add 10z to both sides:

-2 = -4

Since the two terms are different from one another, that means that there are no solutions for this equation.

Answer:

480= 96x5

Step-by-step explanation:

multiply on a caluculater

Answer:

The side length is 3 cm

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

9 = s^2

Take the square root of each side

sqrt(9) = sqrt(s^2)

3 =s

The side length is 3 cm

Answer:

3cm

Step-by-step explanation:

As we know it's a square, we can just square the area to get:

[tex]\sqrt{9}[/tex] = 3

We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:

x * x = A (unit)^2

Answer:

The ballast bag hits the ground after 6 seconds.

Step-by-step explanation:

Suppose there was a small typing mistake.

The height of the ball, after t seconds, is given by the following equation:

[tex]f(t) = -16t^{2} + 576[/tex]

After how many seconds t does the ballast bag hit the ground.

This is t for which f(t) = 0. So

[tex]f(t) = -16t^{2} + 576[/tex]

[tex]-16t^{2} + 576 = 0[/tex]

[tex]16t^{2} = 576[/tex]

[tex]t^{2} = \frac{576}{16}[/tex]

[tex]t^{2} = 36[/tex]

[tex]t = \pm \sqrt{36}[/tex]

Time is a positive measure, so

[tex]t = 6[/tex]

The ballast bag hits the ground after 6 seconds.

Answer:

C

Step-by-step explanation:

[tex]x^2-2x-80=[/tex]

[tex](x-10)(x+8)[/tex]

You can confirm this by expanding this:

[tex](x-10)(x+8)=[/tex]

[tex]x^2-10x+8x-80=[/tex]

[tex]x^2-2x-80[/tex]

Therefore, the answer is choice C. Hope this helps!

Answer:

C

Step-by-step explanation:

x^2-2x-80

(x^2+8)+(-10x-80)

factor out the -10 for -10x-80

=x(x+8)-10(x+8)

(x+8)(x-10)

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