Triangle D E F is shown. Angles D F E and F E D are congruent. The lengths of F D and D E are 12, and the length of F E is 3. ΔDEF is an isosceles triangle with base angles E and F. What is the angle measure of the smallest angle in the triangle? Approximate to the nearest degree. degrees What are the measures of the two congruent base angles? degrees

Answer:

1. no

2. 2,684,354,560 crickets

3. $9,200

4. b

5. 7.5

6.b

Answer:  (1) Deena and Eduardo, (2) (A) or cube root of 343

Step-by-step explanation:

Number 1 : Deena and Eduardo are correct,

16 x 16 = 256

4 x 4 x 4 = 64

Number 2 : (a) the cube  root. of 343 will give Patel the correct answer,

h^3 = 343

cube root of both sides

so, h. = cube root of 343

Answer:

10

Step-by-step explanation:

8 + 2 = 10

Answer:

#1 = -1/3

2# = -6/5

3# = 2/9

4# = 2

#5 = -2/3

Step-by-step explanation:

The slope formula is (y2 - y1) / x2 - x1. With (x1, x2) and (x2, y2) be points on the line.

Answer: least to greatest is -4,1,9,16

greatest to least is 16,9,1,-4

Step-by-step explanation: it's common thinking to me

Answer:

6/5 or 1 1/5

Step-by-step explanation:

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Just use a calculator.

First substitute in the numbers and make sure to use ( ) when plugging in negative values. For example, the first one says n=4, you can substitute n from the expression to 4. So n^2 + 3n + 8 will turn into 4^2 + 3(4) + 8 which is 16 + 12 + 8 = 36. You can do this with the other questions.

Number 10 is -213.

Answer:14

Step-by-step explanation:

14

Answer:

18

Step-by-step explanation:

addition is always before subtraction so you add 8 plus 5 is 13 then 4 minus 2 is 2 so add all together and its 18

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Answer:

5n - 7

Step-by-step explanation:

The product of five and a number is 5n

Seven less than the product of five and a number means 5n - 7

, The graphical solution of the simultaneous equation is

Simultaneous equations are pairs of equations that contain two unknowns.

Simultaneous equations are solved by any three (3) of the following methods.

Given the simultaneous equations

x + y = 6 and y = x

We first confirm the solution by using the substitution method.

Substiutitng y = x into the first equation, we have

x + y = 6

x + x = 6

2x = 6

x = 6/2

x = 3

Since y = x. So, y = 3.

So, the solution is x = 3 and y = 3.

So, for a graphical solution, plotting the graph of

So, the graphical solution of the simultaneous equation is

This is seen in the intersection on the graph attached.

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The total duration of the phone call was 10 minutes.

Given that, by using Company A's calling plan, the cost of an overseas phone call is a $0.95 connection fee plus 18 cents per minute. If the total cost of the call is $2.75 and we have to calculate the time how long was the phone call.

Let the number of minutes a phone call held be x.

Now, we will be representing the above given information in terms of linear equation and then solve for the value of x which will give us the number of minutes the phone call held.

Total cost = $0.95 + $0.18x

$2.75 = $0.95 + $0.18x

2.75 = 0.95 + 0.18x

2.75 - 0.95 = 0.18x

1.8 = 0.18x

1.8/0.18 = x

10 = x

Therefore, the call will go 10 minutes long.

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Simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.

Given the expression in the question;

( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)

First, perform the operations inside the parenthesis

( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)

( (-9(2)³ )/4 ) + ((1/2)(6)² )/( 4²÷2⁴)

Raise 2 to power 3, 6 to power 2, 4 to power 2 and 2 to power 4

( (-9(8) )/4 ) + ((1/2)36 )/( 16 ÷ 16)

Perform the operations in the parenthesis

-72/4  + 18/1

Divide -74 by 4

-72/4  + 18/1

-18 + 18

Negative 18 and positive 18 cancels out  each other.

-18 + 18

0

Therefore, simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.

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Answer: 17.3

Step-by-step explanation:

The price of each souvenirs is 28.33 Dollars.

Let X be the same price of all the t-shirts and all the baseball caps.

Lacey purchased

4 T-shirts and 2 Baseball caps = $162

4X + 2X = $162

        6X = $162

Anna purchased

1 T-shirt and 2 Baseball caps = $93

1X + 2X = $93

        3X= $93

Now we will add the price of souvenirs purchased by Lacey and Anna to find the price each souvenir.

6X = $162              eq. 1

3X= $93                eq. 2

As we have two equations we will add both equations :

6X + 3X = $162 + $93  

Then we will determine the value of X .

         9X = $255

           X = $255 ÷ 9

          X = $28.33

Hence the price of each souvenirs is $28.33 .

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Inferential Statistics

Inferential Statistics is the part of statistical analysis that helps you to determine or predict further steps from the data studied according to Statistical methods. It is helpful in understanding people's perspectives or analyzing data from the samples obtained from it. It can be defined as the analytical tool used to draw conclusions about a population by analyzing random samples.

Descriptive Statistics are used to describe the data and make generalizations about the studies. It is used the define the characteristics of the data obtained.

In the given situation, the statistical analysis is done and it has been inferred from the studies that 67% of people check their cell phone even when it is not ringing or vibrating.

Hence, It is a case of Inferential Statistics.

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The value of the expression [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] after rationalizing the denominator is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

Now, let [tex]a=\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

[tex]a=\frac{(x^{2}y)(y^{3})}{2\sqrt[3]{5} (x^{2}y)(x^{5})}[/tex]

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by ( ∛5 )².

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} } \times \frac{(\sqrt[3]{5})^{2}}{(\sqrt[3]{5})^{2}}[/tex]

[tex]a=\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex]

The value of the expression when rationalized [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

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The rationalization of all denominators is 5.74165.

A fraction is represented inside the form of 'x/y', wherein 'x' is the numerator and 'y' is the denominator. The numerator represents the entire variety of parts taken into consideration. whereas, the denominator represents the full quantity of equal components in a fraction. The pinnacle quantity in a fragment is usually taken into consideration as a numerator.

Another phrase for a denominator is the divisor. both of those words check with the range beneath the road in a not unusual fraction. similarly, while you're speakme approximately statistical values, a denominator refers back to the whole number or population from which samples are taken.

In a fallacious fraction, the numerator is extra than or the same as the denominator and the denominator must not be the same as zero. In an incorrect fraction, the numerator is less than the denominator and the numerator is extra than 0. In an unsuitable fraction, the numerator is constantly more than the denominator.

[tex]5\sqrt{2} /\sqrt{7}- \sqrt{2}[/tex]

[tex]\frac{5\sqrt{2} }{\sqrt{7}-\sqrt{2} }[/tex]

Multiply by the conjugate

[tex]\frac{5(\sqrt{7}+\sqrt{2})\sqrt{2} }{(\sqrt{7} -\sqrt{2} )(\sqrt{7} +\sqrt{2} }[/tex]

Expand [tex](\sqrt{7} -\sqrt{2} )(\sqrt{7} +\sqrt{2} ): 5[/tex]

Factor out the common term 5

[tex]\frac{(5\sqrt{7}+5 \sqrt{2})\sqrt{2} }{5}[/tex]

Cancel the common factor: 5

[tex](\sqrt{7} +\sqrt{2}) \sqrt{2}[/tex]

[tex]= \sqrt{14} +2[/tex]

= Decimal:5.74165

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Answer:

so x=-1

Step-by-step explanation:

substitute "-1" for x

so, 2(-1)+30=28

and, -4(5(-1)-2)>>-4(-5-2)>>20+8

so, 28=28

What is the question?

Answer: 20

Step-by-step explanation: She received 1/10 of the party favors, and 1/10 of 200 is 20.

Anna ordered 200 party favors, she received only 1/10 of the party favors

she ordered, i.e., Anna received 20 party favors.

Here, given that, Anna ordered 200 party favors. she received only 1/10 of the party favors she ordered.

Now, we have to find out how many party favors Anna received,

we need to calculate 1/10 of the total number of party favors she ordered.

Anna ordered 200 party favors, and she received only 1/10 of that amount.

As, we know that, 'of' indicates 'multiplication'

so, we have to find 1/10 of 200, so that, we multiply 200 by 1/10:

1/10 * 200

= 200/10

= 20

i.e. She received 1/10 of the party favors, and 1/10 of 200 is 20.    

So, Anna received 20 party favors.

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The equation to represent the relationship between the dollar amount Kiran is spending and the number of games and the number of rides is 0.25x + y = 12

The graph that represents the relationship between the quantities in this situation is graph C.

It should be noted that the equation will be:

25x + 100y = 1200 in cents

or 0.25 x + y = 12 in dollars

where

x= games

 y= rides

The graph that will connect the x axis and y axis at the points where x= 48 and y= 12,  Only graph C seems to have a line that may end at x=48. Therefore, the correct option is C.

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The solution of the given equation by rounding off it to the nearest ten-thousandth is 4.8170.

What is a round-off of the digit?

In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.

For eg: 13.58 ~ 13.6

Solving the given equation: - log (5x - 4)=3

We are given a logarithmic expression: log (5x - 4)=3  

We know that e^(log b) = b

Using exponential on both sides, we have

e^(log (5x - 4)) = e^3

5x - 4 = 20.085

5x = 24.085

x = 4.817

Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 4.8170.

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Answer:  A line or GH

Step-by-step explanation:

Answer: ray

Step-by-step explanation:

The following relationships between linear equations are shown below:

In this problem we find four cases of linear equations whose relationship with simplified forms, that is, linear equations of the a · r + b, where a, b are constants, must be found. Each relationship can be determined by using algebra properties. Now we proceed to present the conclusion for each case:

Choice A

(6 · r + 7) + (13 + 7 · r)

(6 · r + 7 · r) + (7 + 13)

(6 + 7) · r + 20

13 · r + 20

Choice B

[13 - (3 / 2) · r] -  (1 - r)

[13 - (3 / 2) · r] + (- 1 + r)

[- (3 / 2) · r + r] + (13 - 1)

[- (3 / 2) + 1] · r + 12

(- 1 / 2) · r + 12

12 - (1 / 2) · r

Choice C

(- 8 - r) + (2 · r - 4)

(- r + 2 · r) + (- 8 - 4)

(- 1 + 2) · r - 12

r - 12

- 12 + r

Choice D

(7 · r - 3 / 2) - (2 / 3 + 6 · r)

(7 · r - 3 / 2) + (- 2 / 3 - 6 · r)

(7 · r - 6 · r) + (- 3 / 2 - 2 / 3)

r + [- (9 + 4)] / 6

r + [- 13] / 6

r - 13 / 6

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Answer: Ninty

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let's put that number as x.

It says that one minus 4 times x is 11.

So the equation is 4x - 1 = 11.

Add one on both sides to get 4x = 12.

Divide by four on both sides to get x = 3.

Since x is what we are looking for, the answer is 3!

(Hope this helps!)