(2x-7)^2=64 solve for x

Answer: 0.9973 .

Step-by-step explanation:

Given: Weights of students in a junior college follows normal distribution with a mean = 100 lbs and a standard deviation =18 lbs.

Let X denotes the random variable that represents the weights of students .

Then, the probability that a student drawn at random will weigh less than 150 lbs will be :

[tex]P(X<150)=P(\dfrac{X_\mu}{\sigma}<\dfrac{150-100}{18})\\\\=P(Z<2.78 )\ \ \ \ [Z=\dfrac{X_\mu}{\sigma}]\\\\ =0.9973\ \ \ [\text{By p-value table for z}][/tex]

Hence, the e=required probability is 0.9973 .

Answer:

A) $4.99b = $14.95

B) $4.99p = $c

C) $qd = $t

Step-by-step explanation:

A) We are told that cost of blueberries is $4.99 a pound.

Now, Diego buys b pounds of blueberries and pays $14.95.

Since 1 pound costs $4.99, then b pounds will cost $4.99b

Since he paid $14.95, then the equation is;

$4.99b = $14.95

B) We are told that cost of blueberries is $4.99 a pound.

Now, Jada buys p pounds of blueberries and pays $c.

Since 1 pound costs $4.99, then p pounds will cost $4.99p

Since he paid $c, then the equation is;

$4.99p = $c

C) We are told that cost of blueberries is $d a pound.

Now, Lin buys q pounds of blueberries and pays $t.

Since 1 pound costs $d, then q pounds will cost $qd

Since he paid $t, then the equation is;

$qd = $t

Answer:

3x²+13x-30

Step-by-step explanation:

3x×x =3x²

3x×6= 18x

-5×x = -5x

-5×6=-30

Connect them together to form:

3x²+13x-30

(I got the 13x by doing 18x-5x)

Answer:

[tex] { \:( {6}^{10})}^{ - 7} [/tex]

Step-by-step explanation:

For all choices the exponent are addeed not multiplied.

hope it helps ❤❤❤

For any question comment me

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

Factor like terms..

(ax + ay) + (3bx + 3by)

= a(x + y) + 3b(x + y)

Finally, group the common factors of x + y and collect the terms to get:

(x + y )(a + 3b)

The factors of the given expression are (x + y ) and (a + 3b).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that expression as :

ax + ay + 3bx + 3by

We have to factorize the given expression.

⇒ ax + ay + 3bx + 3by

Factor like terms.

⇒ (ax + ay) + (3bx + 3by)

⇒ a(x + y) + 3b(x + y)

Take out the common factors of x + y and combine the terms to get:

⇒ (x + y )(a + 3b)

Therefore, the factors of the given expression are (x + y ) and (a + 3b).

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Answer:

11) D. y=5/2x+5/2 , 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5

Step-by-step explanation:

11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-2\cdot x - 5\cdot y = -19[/tex]

[tex]2\cdot x +5\cdot y = 19[/tex]

[tex]5\cdot y = 19 - 2\cdot x[/tex]

[tex]y = \frac{19}{5} -\frac{2}{5}\cdot x[/tex]

The original slope is [tex]-\frac{2}{5}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{\left(-\frac{2}{5}\right) }[/tex]

[tex]m_{\perp} = \frac{5}{2}[/tex]

If [tex]x_{o} = -3[/tex], [tex]y_{o} = -5[/tex] and [tex]m_{\perp} = \frac{5}{2}[/tex], then:

[tex]y-(-5) = \frac{5}{2}\cdot [x-(-3)][/tex]

[tex]y + 5 = \frac{5}{2}\cdot x +\frac{15}{2}[/tex]

[tex]y = \frac{5}{2}\cdot x +\frac{5}{2}[/tex]

The right answer is D.

12) The function of the parallel line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\parallel}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\parallel}[/tex] - Slope, dimensionless.

Its slope is the slope of the given, which must be transformed into its explicitive form:

[tex]-8\cdot x + 5\cdot y = 89[/tex]

[tex]5\cdot y = 89 +8\cdot x[/tex]

[tex]y = \frac{89}{5}+\frac{8}{5} \cdot x[/tex]

The slope of the parallel line is [tex]\frac{8}{5}[/tex].

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\parallel} = \frac{8}{5}[/tex], then:

[tex]y-1 = \frac{8}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = \frac{8}{5}\cdot x +\frac{64}{5}[/tex]

[tex]y = \frac{8}{5}\cdot x +\frac{69}{5}[/tex]

The correct answer is B.

14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:

[tex]y-y_{o} = m_{\perp}\cdot (x-x_{o})[/tex]

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of the given point, dimensionless.

[tex]m_{\perp}[/tex] - Slope, dimensionless.

Besides, a slope that is perpendicular to original line can be calculated by this expression:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

Where [tex]m[/tex] is the slope of the original line, dimensionless.

The original slope is determined from the explicitive form of the given line:

[tex]-5\cdot x +9\cdot y = 49[/tex]

[tex]9\cdot y = 49+5\cdot x[/tex]

[tex]y = \frac{49}{9} +\frac{5}{9}\cdot x[/tex]

The original slope is [tex]\frac{5}{9}[/tex], and the slope of the perpendicular line is:

[tex]m_{\perp} = -\frac{1}{m}[/tex]

[tex]m_{\perp} = -\frac{1}{\frac{5}{9} }[/tex]

[tex]m_{\perp} = -\frac{9}{5}[/tex]

If [tex]x_{o} = -8[/tex], [tex]y_{o} = 1[/tex] and [tex]m_{\perp} = -\frac{9}{5}[/tex], then:

[tex]y-1 = -\frac{9}{5}\cdot [x-(-8)][/tex]

[tex]y-1 = -\frac{9}{5}\cdot x-\frac{72}{5}[/tex]

[tex]y = -\frac{9}{5}\cdot x -\frac{67}{5}[/tex]

The correct answer is A.

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = [tex]x[/tex]

Let number of lower deck seats = [tex]y[/tex]

Let number of upper deck seats = [tex]z[/tex]

As per question statement:

[tex]x+y+z=10000[/tex] ...... (1)

Cost for box seat = $10

Cost for [tex]x[/tex] box seats = 10[tex]x[/tex]

Cost for lower deck seat = $8

Cost for [tex]y[/tex] lower deck seats = 8[tex]y[/tex]

Cost for lower deck seat = $5

Cost for [tex]z[/tex] lower deck seats = 5[tex]z[/tex]

As per question statement:

[tex]10x+8y+5z=70000[/tex] ..... (2)

[tex]z = 4x[/tex] ..... (3)

Putting value of [tex]y[/tex] in (1) and (2):

[tex]x+y+4x=10000\\\Rightarrow 5x+y=10000[/tex] ....... (4)

[tex]10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)[/tex]

8 [tex]\times[/tex] (4) - (5):

[tex]10x =[/tex]10000

[tex]\Rightarrow x = 1000[/tex]

By (3):

[tex]z = 4000[/tex]

Now, by equation (1):

[tex]y[/tex] = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Answer:

x = 2 y = 4

Step-by-step explanation:

y = 3x - 2

x = y - 2

Plug in the equation of x into the first equation and solve for y.

y = 3x - 2

y = 3(y - 2) - 2 Multiply out

y = 3y - 6 - 2

y = 3y - 8     Add 8 to each side

y + 8 = 3y - 8 + 8      8 cancels on the right

y + 8 = 3y          Subtract y from each side

y - y + 8 = 3y - y       The y on the left cancels

8 = 2y      Divide each side by 2

8/2 = 2y/2   2 on the right cancels because 2/2 = 1

8/2 = y

4 = y  

Now plug your answer into the 2nd equation given to solve for x.

x = y - 2

x = 4 - 2

x = 2

Given :

A sequence of numbers consists of natural numbers that are

not perfect squares.

To Find :

The 1000th member of this  sequence .

Solution :

Now , [tex]31^2=961[/tex] and [tex]32^2=1024[/tex] .

So , there are 31 numbers before 1000 which are perfect square .

Therefore , the [tex]999^{th}[/tex] is 1000+31 = 1031 .

Also , the first perfect square after 1000 is 32 .

So , we have to continue to 1031 + 1 = 1032 to compensate for the 32nd square.

Therefore , the 1000th member of this  sequence is 1032 .

Hence , this is the required solution .

Answer:

The possible values for 1/y of the expression 0.125 < y < 0.25 are in the range

4 < 1/y < 8

Step-by-step explanation:

The given information are;

The range of values of y are 0.125 < y < 0.25, therefore, we have;

The boundaries of the function, y are 0.125 and 0.25

The inverse of the boundaries of the function, y are 1/0.125 = 8 and 1/0.24 = 4

Therefore;

The limits of the inverse of the function y are ;

The inequality that represents 1/y is therefore;

1/0.25 < 1/y < 1/0.125 or 4 < 1/y < 8

The possible values of 1/y for the expression 0.125 < y < 0.25 are therefore;

4 < 1/y < 8.

Answer

The answer is 0

This triangle is a 30-60-90 triangle, which you can just find by solving for the unknown angle in the triangle, making it a 30-60-90 triangle.

You'll need to memorize the side lengths for these triangles, but the side opposite from the hypotenuse (x in this case), will be half the length of the hypotenuse.

Meaning that [tex]2x=8[/tex]

So [tex]x=4[/tex]

Hope this helps.

頑張って!

Answer:

only a

Step-by-step explanation:

Answer: The answer would be B

Step-by-step explanation:

Answer:

1452.9

Step-by-step explanation:

Answer: in a quiet room or the library,

also you better summarize your geometry lessons and remember the formulas :P

Answer: i belive its 140 i really coudn't tell.

Step-by-step explanation:          

I used the protactor and  I aligned it agaist the problem. Hope this helps. :)  

By that i meant i got my protactor and I aligned it on the tiny dot you can see, the arrow  pointed onto the number.  I really don't think there is much to explain. If their is any confusion i will re-write it.

Answer:

the answer for this question is 110

Answer:

A-11

Step-by-step explanation:

Correct on EDGE

The value of the function k(h(10)) will be 11. The correct option is A.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

Therefore, the value of the function k(h(10)) will be 11. The correct option is A.

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Answer:  i) 216 liters        ii) 60 cm

Step-by-step explanation:

i) 216,000 cm³ × 1 liter/1000 cm³ = 216 liters

ii) [tex]\sqrt[3]{216,000\ cm^3} =60\ cm[/tex]

Answer:

10^5=100000

Step-by-step explanation:

Answer:

approximately 9

Step-by-step explanation:

6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9

Answer:

10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

Answer:

-16/3

Step-by-step explanation:

To solve for this use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First multiply -4 and 2 (-8)

(-8)^2/2-9-5

Next find out what -8 squared is (64)

64/2-9-5

Now simplify the denominator

64/-12

Lastly, divide 64 and -12

-16/3

Answer:

y = 2

Step-by-step explanation:

Step 1:

6y + 18 = 30

Step 2:

6y = 12

Answer:

y = 2

Hope This Helps :)

Answer:

I think the answer is P=3s-5000

Step-by-step explanation:

you wouldn't subtract anything from the 5000, you would subtract the 5000 from how much you made from the sandwiches.

hope that helps

Answer:

R(-2,-1)

S(-1,-5)

T(2,-3)

Step-by-step explanation:

First, you flip all coordinates to their exact points, just of the other side of the y-axis.

Then, you just gotta graph it and rotate it 180* around the origin.

Answer: 4

Step-by-step explanation: cause the chart has 4 number 3

Answer:

A

Step-by-step explanation:

Answer: A: (4-g) 1.5

Step-by-step explanation:

Answer:

[tex]d=\sqrt{58}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your coordinates into the distance formula to find the length of AB:

[tex]d=\sqrt{(9-2)^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(7)^2+(3)^2}[/tex]

[tex]d=\sqrt{49+9}[/tex]

[tex]d=\sqrt{58}[/tex]

Step-by-step explanation:

8.05 * 10^8 - 9.16 * 10^6

= 10^6 * (8.05 * 10^2 - 9.16)

= 10^6 * (805 - 9.16)

= 10^6 * (795.84)

= 10^8 * 7.9584

Therefore the answer in scientific notation is 7.9584 * 10^8.

Alr im not smart ok sorry to not answer it right but i think its 2^2 kilograms

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go