The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches?

Step-by-step explanation:

A (-2,1) B (3,4) find the gradient of the line

m = -1

we know that=

m/y2 - y 1) / (x2-1)

= (-4-1)/{3-(-2)

=-5/(3+2)

=5/5

= 1

The value of the expression 21x + 30y is -9

The equation is given as:

7x+10y=−3

Multiply both sides by 3

3 * 7x + 3 * 10y=−3 * 3

Evaluate the product

21x + 30y = -9

Hence, the value of the expression 21x + 30y is -9

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Answer:

Rs 20

Step-by-step explanation:

140%=Rs 70

100%

(100%×Rs 70)÷140%=50

Rs 70-Rs 50=Rs 20

Answer: 75 square units

Given:

sin(C) = 1/2

Area of Triangle:

= 1/2 × a × b × sin(C)

= 1/2 × 13 × 23 × 1/2

= 74.75

≈ 75 square units

In the case above, there will be about 6084 different codes and thus would  tree diagram would not be practical in this case because option C.  No, since there are too many choices.

Since there are 26 letters in an alphabet and only  9 digits in the third place is to be used.

Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:

26 × 26 × 9 = 6084

If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would  tree diagram would not be practical in this case because option C.  No, since there are too many choices.

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Answer:

The translation is [tex]X+0[/tex]

Step-by-step explanation:

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]

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The translation is [tex]X+0[/tex]

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]

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There are 5 students who are 65 inches or taller. Option C is correct.

Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.

The term "height" is frequently used to describe someone's or something's height.

The height of the student in the Spanish class in the data set;

65, 63, 67, 59, 73, 60, 68, 61, 64, 60, 69

Student's heights are 65 inches or taller from the data set are;

65,67,73,68,69

There are 5 students who are 65 inches or taller.

Hence, option C is correct.

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Answer:

the middle of the shape

Step-by-step explanation:

Answer:

a. t = 3 + √15  or  t = 3 - √15

b. t =  6.87  or  t = -0.87

Step-by-step explanation:

a.

Given : t² = 6t + 6

t² = 6t + 6 ⇔ t² - 6t + 6 = 0

USING THE QUADRATIC FORMULA:

[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]

Then

[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]

Then

[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]

Then

t = 3 ± √15

Then

t = 3 + √15  or  t = 3 - √15

…………………………………………………

b.

t = 3 + √15 = 6.872983346207 ≈ 6.87

or  t = 3 - √15 = -0.872983346207 ≈ -0.87

Answer:

40

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40

Answer: True: The graph of y=3x²-3 opens up

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,−3)(0,-3)

Focus: (0,−35/12)

Axis of Symmetry: x=0

Directrix: y=−37/12

X={-2, -1, 0, 1, 2}

Y={9, 0, -3, 0, 9

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

angles E and G are congruent to each other because they are vertical angles.

The amount of charge for one bag of peanuts will be $0.65.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jose bought 750 bags of peanuts for $375.00.

He intends to sell each bag for $0.15 more than he paid.

Then the amount of charge for one bag of peanuts will be

⇒ $375 / 750 + $0.15

⇒ $0.5 + $0.15

⇒ $0.65

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An expression is defined as a set of numbers, variables, and mathematical operations

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

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Answer:

  6/x²

Step-by-step explanation:

Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.

__

The given fractions already have the same denominator, so we simply add their numerators.

  [tex]\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}[/tex]

Answer:

The choice A ;

[tex] \frac{1}{ {7}^{8} } [/tex]

Step-by-step explanation:

[tex] \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } [/tex]

Hii!

Answer:

Step-by-step explanation:

Use the rule of exponents.

If we divide two numbers with the same bases, we subtract the exponents.

7^-6/7^2=7^-6-2=7^-8

Now, if we have a negative exponent, we flip over the number.

7^-8=1/7^8

Great job!

—

Hope that this helped.

ABCD is a quadrilateral that has been translated 2 units to the right and 7 units down. The length of side AB will not change following the translation. Option C is correct.

Each point in a figure is moved the same distance in the same direction using a sort of transformation known as translation.

The complete question is

"Quadrilateral ABCD has translated 7 units down and 2 units to the right.

The length of side AB of the original quadrilateral is_____ units. After the translation, the length of side AB will___________ .

2

3

3.5

4

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

Increase

Decrease

Remain the same"

Quadrilateral ABCD has translated 7 units down and 2 units to the right.  After the translation, the length of side AB will remain the same.

Hence option C is correct.

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Answer:0

Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0

Answer:

The horizontal asymptote is y=1 and

The vertical asymptote is x=5

Answer:

31

Step-by-step explanation:

x + 149 = 180

x = 180 - 149

x = 31

Answer: 31

Answer:

31°

Step-by-step explanation:

x + 149° = 180°

reason : because they are supplementary angle...

x = 180° - 149°

x = 31°

[tex]...[/tex]

Answer:

[tex]\boxed {D) -\frac{2y}{x}}[/tex]

Step-by-step explanation:

Solving :

[tex]\implies \mathsf {\frac{(-2xy^{2})^{3}}{4x^{4}y^{5}}}[/tex]

[tex]\implies \mathsf {\frac{-8x^{3}y^{6}}{4x^{4}y^{5}}}[/tex]

[tex]\implies \mathsf {\frac{-2y}{x}}[/tex]

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28  5th row - 36   6th row - 44   7th row - 52   8th row - 60   9th - 68   10th - 76   11th - 84    12th - 92   13th - 100    14th - 108   15th - 116   16th- 124    17th - 132   18th - 140    19th - 148    20th - 156

if we add these all together you will get 1,600

Answer:

1600 seats

Explanation:

1st row = 4 seats, 2nd row = 12 seats, 3rd row = 20 seats

This is arithmetic progression with first term (a) being 4 and common difference (d) of 8 and total term (n) of 20.

Sum of arithmetic series:

[tex]\sf S_n = \dfrac{n}{2} ( 2a + (n-1)d)[/tex]

insert values

[tex]\sf S_{20} = \dfrac{20}{2} ( 2(4) + (20-1)8)[/tex]

[tex]\sf S_{20} = 1600[/tex]

Step-by-step explanation:

so, in other words, the price is

43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =

= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =

= 43.85 - 1.25 = 42.60

The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6

The problem is incomplete. The complete problem is

Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6

(a) f(1)

(b) f(−2)

(c) f(x + 4)

We have

(a) f(1) = 3 (1) - 6 = 3 - 6 = -3

(b) f(-2) = 3(-2) - 6 = -12

(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6

So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6

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The value of the boolean variable x is 0

The boolean equation is given as:

x . 1 = 0

The above means that:

x and 1 = 0

The law of the and operator is that;

The output is 0 if both inputs are different.

One of the inputs is 1.

So, the other input is 0

Hence, the value of x is 0

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Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

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