Study the figure. What is the measure of the missing interior angle?

Answer:91.44  rounded is 91

Step-by-step explanation:

Question 1

[tex]\frac{a-0}{a-0}=1[/tex]

Question 2

[tex](1)(-1)=-1[/tex]

Answer:

y = -0.5x + 7

Step-by-step explanation:

Equation of a Line is y = mx + c

where m is the slope and c is the y-intercept

Given two lines are Perpendicular

Then [tex]m_{1} m_{2} =-1[/tex]

So we given Line whose Equation is y = 2x +8

Then [tex]m_{1} =2[/tex] (Coefficient of x)

Since the Line we want is Perpendicular to that line

Then [tex]m_{1} m_{2} =-1[/tex]   ,  [tex]2m_{2} =-1 , m_{2} =\frac{-1}{2}[/tex]

So the Equation of the required Line is y = -0.5x +c

Since the Line passes through (2 , 6) , Then y = 6 when x = 2

By substitution , 6 = -0.5*2 + c  ,   6 = -1 + c

Then c = 6+1 =7

Then the Equation will be y = -0.5x + 7

Answer:   y= -1/2x+7

Step-by-step explanation: use the point slope form and use the -1/2x like the slope because the perpendicular lines are negative reciprocals.

The value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10

From the given number line

The value of A = 7.51

The number line is defined as the straight line that consist of integers in equal intervals. We can also says that the number line is the pictorial representation of numbers on a horizontal line.

The rounding of a number is defined as a number is make it simple by keeping its value intact but closer to the next number. The closer to tenth, hundredth, thousand etc.

The value of A = 7.51

Rounding the rounder to nearest tenth = 10

Rounding the number to nearest hundredth = 0

Hence, the value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10.

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Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

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The amount of money left over after buying the laptop is $55.17.

From the information, the laptop he wants is in stores for $749.99 but is on sale for 25% off and after the discount is removed, a tax rate of 5.75% is added on.

This will be:

= $749.99 - (25% × $749.99)

= $749.99 - $187.50

= $562.49

The addition of the tax will be:

= $562.49 + (5.75% × $562.49)

= $562.49 + $32.34

= $594.83

The money left over will be:

= $650 - $594.83

= $55.17

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The phrase [tex]f (x)[/tex] denotes a formula with [tex]x[/tex] serving as its input variable. Not multiply f and x, though!

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable .

The x in [tex]f(x)[/tex] is referred to the argument of the function or simply the argument in function notation. Therefore, the response is just 2 if they ask for a argument and give you the equation [tex]f(2)[/tex].

Hence,  the phrase [tex]f (x)[/tex] represents a formula with [tex]x[/tex] serving as its input variable.

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Answer:

5.5,5.5081, 5.58, 7.428

Step-by-step explanation:

to look from least to greatest just look at each place value and see which one is slower and any that you can’t see is zero

Hopes this helps please mark brainliest

Answer: 2y   or   2 x y

Step-by-step explanation:

2 times the minutes

therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.

The required graph of the given expression f(x) = 3x – 4, is shown.

Given that,
To draw the graph of the expression f(x) = 3x – 4,  for the domain x  ≥ 1.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,

Thus, the required graph of the given expression f(x) = 3x – 4, is shown.

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The short side of one box divided by the short side of the other box must equal the long side of one box divided by the long side of the other box. If the results are the same, they are proportional, if not, they are not proportional

[tex]\frac{102}{140} = 0.72 \\\\\frac{170}{226} = 0.75[/tex]

Answer:

50 mins

Step-by-step explanation:

80 percent=40 mins

100 percent=50 mins

Answer:

============

All the inequality given are all non strict inequalities

Inequality           classification

3x - 2 < 1          non strict inequality    

3x - > 1             non strict inequality

3x - 2 > 1          non strict inequality

3x - 2 < 1          non strict inequality

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

The strict inequality are those inequality that the equation fails when equality sign is used to represent the relationship of the left and right hand side of an equation.. The inequality sign used here is only less than or greater than

The non strict inequality maintains the balance between both sides of the equation whether the equality is used or not

None of the given expression has the "less than or equal to" OR "greater than or equal to" signs hence they are all strict inequality

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The required value of RT is 10 units when RS = 7, ST = 3x, and RT = x + 9.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment RT, where the length of line segment RT refers to the distance between its endpoints, R and T.

RS = 7, ST = 3x, and RT = x + 9

R______________S______________T

⇒ RT = RS + ST ....(i)

Substitute the values of RS = 7, ST = 3x, and RT = x + 9,

⇒ x + 9 = 7 + 3x

⇒ 3x - x = 9 - 7

⇒ 2x = 2

⇒ x = 1

Substitute the values of x = 1 in RT = x + 9

So RT = 1 + 9 = 10

Hence, the value of RT is 10 units.

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Answer:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=(4x-1)(x+9)[/tex]

The roots of a function are the x-values for which the function equals zero.  Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:

[tex]\implies f(x)=0[/tex]

[tex]\implies (4x-1)(x+9)=0[/tex]

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

[tex](x+9)=0 \implies x=-9[/tex]

Therefore, the roots of the given function are:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Answer:

SAS

Step-by-step explanation:

We now that 2 sides are congruent because of the congruent marker, and the bases of the triangles are the same, meaning they are congruent. And we also have a congruent pair of angles. So we can tell if they are congruent by using the SAS theorem.

-Hope this helped

Answer: $225

Step-by-step explanation: 900 * .25 = 225

Answer:

$225

Step-by-step explanation:

25 : 100 = x : 900

x = 25 * 900 / 100

x = 25 * 9

x = 225

An equation is a collection of variables and constants. The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

-2x - 4y = -18 and x = y

Substitute, x = y

-2(y) - 4y = -18

-6y = -18

y = 3 and x = 3

Hence "The value of x and y for the system of the equation as -2x - 4y = -18 and x = y will be x = 3 and y = 3".

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Answer:

£9

Step-by-step explanation:

1:8=9

?:72

72÷9=8

9×1=9

The relationship in the scatterplot is positive and nonlinear.

We utilize correlation to assess the strength of a linear relationship between two numerical variables. The strength of a linear relationship is gauged by correlation.

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Answer:

step 2 is where she made her mistake

Step-by-step explanation:

- 4x + 1 > 9 ( subtract 1 from both sides )

- 4x > 8

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 2

Answer:

  (1, 4)

Step-by-step explanation:

You want the vertex of the parabola y=2(x-1)²+4.

The vertex form of the equation for a parabola is ...

  y = a(x -h)² +k . . . . . . 'a' is the scale factor; (h, k) is the vertex

Comparing the given equation to the vertex form, we see that ...

  a = 2

  h = 1

  k = 4

Then the coordinates of the vertex are (h, k) = (1, 4).

Answer:

songs in the final CD 13

Step-by-step explanation:

the 100% = 16

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

16/x=100/62.5

(16/x)*x=(100/62.5)*x

16=1.6*x

16/1.6=x

10=x

x=10

This is the 62.5% of 16

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

now the new 100% is 10 + 16 = 26

but during the editing process 50% are removed

and the 50% of 26 (half of it) is = 13

Answer:

- (4x+1) (x-9)

Step-by-step explanation:

-4x^2+35x+9

Factor out the 1:

-(4x^2-35x-9)

Factor:

-(4x+1)(x-9)

The expression that makes v the subject of the formula, W=5+v/v-3 is v= (5 + 3W)/ (W-1).

The concept is the concept of finding the subject of the formula in an expression.

To know the subject of the formula, we will need to perform some simplification:

W=5+v/v-3

then this can be expressed as:

W(v-3) = 5+v

Wv - 3W = 5+v

then we can rearrange the expression as:

Wv - v = 5 + 3W

then we can factorize  the expression as :

v(W-1) = (5 + 3W)

v= (5 + 3W)/ (W-1)

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The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

The given algebraic expression is -4x²+12x.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factorization of the given polynomial is

-4x²+12x

= 4x(-x+3)

The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

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Step-by-step explanation:

3409.1 In exponential form is 3.4091 * 10^3

Writing a number in exponential form is a way of writing numbers using base and exponents

Scientific notations is among the ways numbers appears in exponential forms

using scientific notation we have

= 3409.1

converting to fractions

= 34091 / 10

applying the scientific notation

= 3.4091 / 10 * 10000

eliminating the fraction by dividing by 10

= 3.4091 * 1000

applying exponential notation

= 3.4091 * 10^3

rewriting gives

= 3.4091 E+3

In scientific notation 10^3 is E+3 and it is called kilo and can be represented as k

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The skydiver falls a distance of 36 feet after 1.5 seconds.

Now, we have:

To calculate distance:

Therefore, the skydiver falls a distance of 36 feet after 1.5 seconds.

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