a pattern is made from four congruent squares

Answer:

Step-by-step explanation:

[tex]x^2-8x+16=5\\\\x^2-8x+11=0\\\\a=1\,,\ \ b=-8\,,\ \ c=11\\\\x_1=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8-\sqrt{20}}2=\dfrac{8-2\sqrt5}2=\dfrac{2(4-\sqrt5)}2=\\\\=4-\sqrt5\\\\x_2=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot11}}{2\cdot1}=\dfrac{8+2\sqrt5}2=4+\sqrt5[/tex]

Answer:

The first option: -5/4x + 1/6.

Step-by-step explanation:

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

= (3/4x - 2/3) + 5/6 - 2x

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

= 3/4x - 8/4x - 4/6 + 5/6

= -5/4x + 1/6

So, the first option: -5/4x + 1/6.

Hope this helps!

Answer:

11.4

Step-by-step explanation:

Proportions.

AB/ED=BC/DF

x/3.8 = 15/5

x=11.4

Answer:

3:2

Step-by-step explanation:

girls: boys

18    : 12

Divide each side by 6

18/6 :  12/6

3   : 2

Answer: 18 girls to 12 boys

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Let's write the ratio using the word "to."

Since there are 18 girls and 12 boys,

we can write this as 18 girls to 12 boys.

So this would be our answer.

However, this can be reduced to 3 girls to 4 boys.

Answer:

Sh. 9000

Step-by-step explanation:

John : Peter = 2 : 1

John/peter = 2/1

John = 2 Peter.... (1)

Amos : John = 4:3

Amos/John = 4/3

Amos = 4/3 John.. (2)

From (1) & (2)

Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)

Since,

Amos + John + Peter = 51000

Therefore,

8/3 Peter + 2peter + Peter = 51000

(8+6+3)/3 *Peter = 51000

17/3 * Peter = 51000

Peter = 51000 * 3/17

Peter = 3000 * 3

Peter = 9000

Hence, amount received by Peter is Sh. 9000.

Hey there! :)

Answer:

a = 1

b = -5

c = 6.

Step-by-step explanation:

Recall that in standard form, the coefficients of a quadratic equation are:

f(x)= ax² + bx + c

In the given equation, we can identity the coefficients:

f(x) = (1)x² - 5x + 6

a = 1

b = -5

c = 6.

Answer:

There are no choices, but [tex]\frac{10}{10.75}[/tex] can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.

Hope it helps <3

Answer:

40/43

Step-by-step explanation:

  The fraction

       10

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

   10 3/4

can be simplified by converting 10 3/4 to the improper fraction 43/4:

       10                    10            40

-----------------  =  _______ = ----------

   10 3/4               43/4            43

Next time, please share any answer choices that are given to you.  Thank you.

Answer:

Cost after 9 months = $420

Cost for 0 months = $60

Step-by-step explanation:

Given that:

Cost of new cell phone = $60

Cost for unlimited calls per month = $40

Function to represent the total cost per month:

[tex]y = 40x+60[/tex] ..... (1)

where y is the total cost and

x is the number of months.

To find:

Total cost after 9 months and 0 months.

Solution:

Let us put the value [tex]x = 9[/tex] in the above equation (1)

[tex]y = 40 \times 9 +60\\\Rightarrow y = 360 +60\\\Rightarrow y = \$420[/tex]

Hence, cost after 9 months = $420.

Cost after 0 months i.e. put the value [tex]x = 0[/tex] in the above equation (1)

[tex]y = 40 \times 0 +60\\\Rightarrow y = 0+60\\\Rightarrow y = \$60[/tex]

i.e. only cell phone is bought no cost for call is given.

Cost for 0 months is equal to the cost of cell phone.

So, the answers are:

Cost after 9 months = $420

Cost for 0 months = $60

Answer:

24

Step-by-step explanation:

PQ is equal to QR, therefore QR=3

Draw a perpendicular line down from R to line TS to form a triangle and since PT=6, the height of the right angle triangle would be 3.

The base of the right triangle would be 7-3=4. Using pytag. theorem [tex]\sqrt{4^{2}+3^2 }=5[/tex]

Therefore RS=5.

So now we can sum up everything: PQ+PT+TS+RS+QR= 3+6+7+5+3=24

Answer:

Step-by-step explanation:

We would assume that a randomly selected registered voter, x is classified as a conservative or not. It means that there are only 2 possible outcomes. Thus, it is a binomial probability distribution and the probability of success, p is that a randomly selected voter is classified as a conservative. Therefore,

p = 20% = 20/100 = 0.2

Number of trials, n = 10

Number of success, x = 6

The probability that six out of 10 would be conservatives is expressed as

P(x = 6)

Using the binomial probability calculator,

P(x = 6) = 0.0056

Answer: choice B

Step-by-step explanation:

just took the quiz

omm its B. G(x)=(x+8)^2

just took the test

Answer:

x =- 6, x = 7

Step-by-step explanation:

Given

g(x) = (x - 7)x + 6)

To find the zeros let g(x) = 0, that is

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 7 = 0 ⇒ x = 7

Answer:

[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]

Step-by-step explanation:

The lengths of the sides of the scalene triangle are 6, 11, and 12.

We want to use the law of cosines to find the largest angle.

Note that the largest angle is always opposite the largest side.

Therefore:

[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]

The largest angle is 84 degrees to the nearest angle.

Answer:

See attached table

Step-by-step explanation:

Given base b,

the required formulas are:

Area of base = b^2

height: solve for h in 2b^2+4*bh = S =54

where S is the surface of 54

Substitute and solve for h,

h =  (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)

The volume is equal to base area times height, or

V = b^2(h)

The completed table is attached.

Answer:

−0.0005 m/sec.

Step-by-step explanation:

Let us denote the volume of the can as V

let us denote the radius of the circular disc in lake as r

Let us denote the thickness of the circular disc as h

But we know the volume of the can as πr^2h then we can calculate How fast it is decreasing when the radius is 2 m

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

null hypothesis: 20% of the newly hired candidates are women.

alternative hypothesis: out of 100% of the workers , only 40% are women and you 60% are male.

The null hypothesis = 20% of candidates are females who applied.

The alternative hypothesis is that only 20% of this store is female, 80% is male.

Hope it helps!

Answer:

147

Step-by-step explanation:

7(-3/4 times -4 should most likely be written with a " ) " at the end:

7(-3/4 times -4).

Symbolically, this comes out to

        7            -3         -4

7( ----------- )*(------ * --------- )   =   49(3) = 147

        1              4          1

Note:  If you are given possible answer choices, please share them.  Thanks

Answer:

139.3 m²

Step-by-step explanation:

The figure is composed of a square and a semi circle.

area of square = 10² = 100 m²

area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²

Total area = 100 + 39.3 = 139.3 m²

Answer:

I hope it is correct.....

Answer:

You first need to convert everything to minutes:

12 noon = 12 x 60 = 720 minutes

9 am = 9 x 60 = 540 minutes

Let x = number of minutes before noon

The time now is 12 noon -x = 720 -x minutes

48 minutes ago it was 720-x-48

720 -x - 48 = 540 + 2x

720-48-540 = 3x

x = 44 minutes

It is 44 minutes before noon, or 11:16 am

Answer:

9:00 am -------------------- 12:00pm ( There are 180 minutes between them)

Go 48 minutes back (132 Minutes between them)

That time is divided by 2

(4x minutes past 9:00 and x minutes left to reach 12:00)

132/3 = 44 minutes are left

Answer:

A

Step-by-step explanation:

Answer:  a=4, b=16, c=12

Step-by-step explanation:

Use the intercept form: a(x - p)(x - q)  where p & q are the intercepts.

Given: p = -3, q = -1, and y-intercept (c) = 12

 a[x - (-3)][x - (-1)]

= a(x + 3)(x + 1)

= a(x² + 4x + 3)

= ax² + 4ax + 3a

y-intercept = 12

     3a = 12

       a = 4

   Substitute a = 4

    4x² + 4(4)x + 3(4)

=   4x² + 16x + 12

Answer:

The total value of the given expression is 12.

Step-by-step explanation:

(-2 + 1)² + 5(12 ÷ 3) - 9

First, do the expressions within the parentheses.

(-1)² + 5(4) - 9

Next, simplify the exponents.

1 + 5(4) - 9

Next, multiply 5 by 4.

1 + 20 - 9

Add 1 and 20 together.

21 - 9

Subtract 9 from 21.

12

So, the final answer to this equation is 12.

The simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= (-2 + 1)² + 5(12 : 3) - 9

The ratio can be described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

= (-1)² + 5(12/3) - 9

= 1 + 5(4) - 9

= 1 + 20 - 9

= 21 - 9

= 12

Thus, the simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

x^2+2x-15

Step-by-step explanation:

x^2+5x-3x-15

=x^2+2x-15

Answer:

x² + 2x -15

Step-by-step explanation:

by using FOIL method (see attached for reference),

(x-3)(x+5)

= (x)(x) + (x)(5) + (-3)(x) + (-3)(5)

= x² + 5x - 3x -15

= x² + 2x -15

Answer:

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Step-by-step explanation:

Total surface area: 36

Ratio is 2:1

So, 2x + 1x = 36

3x=36

x=36/3

x=12

2*12=24

1*12=12

So areas are 24 and 12 respectively

Now, we can say that the sides of the square will be same, 6 cm

6*6=36

so the length of both rectangles will be 6

Hence we can divide each area by 6 and find the breadth.

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Stay safe and stay cool

Hope it helps you.

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Answer:

f(x) = x³ - 4x² - 25x + 28

Step-by-step explanation:

Given the zeros x = 1, x = 7 and x = - 4 , then the corresponding factors are

(x - 1), (x - 7), (x + 4)

The polynomial is then the product of the factors, that is

f(x) = a(x - 1)(x - 7)(x + 4) , a is a multiplier

let a = 1 and expand the first pair of factors using FOIL

f(x) = (x² - 8x + 7)(x + 4) ← distribute

      = x³ - 8x² + 7x + 4x² - 32x + 28 ← collect like terms

      = x³ - 4x² - 25x + 28

Answer:

1/8, 2/5 , 1/2, 3/4

Step-by-step explanation:

1/2= 0.5

1/8= 0.1

3/4= 0.8

2/5= 0.4

just arrange them in the order from smallest to largest......

Answer:

⅛ < ⅖ <  ½ < ¾

Step-by-step explanation:

First, rewrite the fractions so that they all have the same denominator.

The new denominator should be the lowest common multiple of the original denominators.

The L.C.M. of 2, 8, 4, and 5 is 40.

When multiplying the denominator to 40, make sure you multiply the numerator with the same value you use to multiply the denominator.

1/2 = 1x20 / 2 x 20 = 20/40

1/8 = 1x5 / 8x5 = 5/40

3/4 = 3x10 / 4x10 = 30/40

2/5 = 2x8 / 5x8 = 16/40

When all the denominators are the same, we can compare the numerator. The greater the numerator, the greater the fraction is.

Between 20, 5, 30, and 16, the smallest is 5, then 16, 20 and greatest is 30.

Since ascending order means listing them out from smallest to greatest, the order should be:

⅛ < ⅖ <  ½ < ¾

Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]5(x+9) = 10[/tex]

[tex]5x+45=10[/tex]

[tex]5x = -35[/tex]

[tex]x=-7[/tex]

Hope this helps.

Answer:

-7

Step-by-step explanation:

5(x + 9) = 10

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

...and is your order of operation.

First, divide 5 from both sides:

(5(x + 9))/5 = (10)/5

x + 9 = 10/5

x + 9 = 2

Next, isolate the variable x, by subtracting 9 from both sides:

x + 9 (-9) = 2 (-9)

x = 2 - 9

x = -7

x = -7 is your answer.

~

Answer:

5,318 millions of barrels

Step-by-step explanation:

Subtract Japan's number of barrels from the US' to find the difference:

7,297.4 - 1,979.4 = 5,318 millions of barrels

Answer:

3.5 m

Step-by-step explanation:

Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.

Length of ladder = the hypothenuse = 13.5 m

Thus, we would use:

Cos75 = adjacent/hypothenuse

Cos 75 = d/13.5

Multiply both sides by 13.5

13.5*cos(75) = d

13.5*0.2588 = d

3.4938 = d

d ≈ 3.5 m (nearest tenth)