What is the median of the number in the dataset [29,3,50,9]?

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]

Upon substituting measure of our given side lengths, we will get:

[tex]\frac{EF}{1}=\frac{5}{13}[/tex]

[tex]EF=\frac{5}{13}[/tex]

Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.

Answer:

0 x-intercepts

Step-by-step explanation:

In order to find the x-intercepts ,you need to solve this equation

x² + 4x + 5 = 0 for x  and see how many solutions you get:

x² + 4x + 5 = 0

∆ = 4² - 4×1×5 = 16 - 20 = -4

since ∆ < 0 Then the equation has no solution then our Function has none x-intercepts.

check the graph of the function f(x) = x² + 4x + 5 (below)

Answer:

no mode

Step-by-step explanation:

the mode is the number that occurs the most. There is non in this case.

hope this helps :)

Answer:

no mode

Step-by-step explanation:

the mode is the number that occurs the most. There is none in this case.

Answer:

Hamburger patty is 5.67 per ounce and the fish is 5.33 per ounce

Step-by-step explanation:

The hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

[tex]4\frac{1}{2}[/tex] ounce hamburger patty has [tex]25\frac{1}{2}[/tex] grams of protein

[tex]4\frac{1}{2}[/tex]  = 9/2

[tex]25\frac{1}{2}[/tex] = 51/2

Let's suppose each hamburger patty has x grams of protein so the value of x:

[tex]\rm x = \frac{\frac{51}{2}}{\frac{9}{2} }[/tex]

x = (51/2)×(2/9)

x = 5.66 ≈ 5.7 grams of protein

For fish Let's suppose each fish has y grams of protein so the value of y:

[tex]\rm y =\frac{32}{6}[/tex]

y = 5.3 grams of protein

Thus, the hamburger patty has approximately 5.7 grams of protein per ounce and the fish has approximately 5.3 grams of protein per ounce.

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Answer:

B

Step-by-step explanation:

45x=140-5

x=135:45

x=3

(B)

Answer:

Step-by-step explanation:

 45x + 5 = 140  find x

 45x + 5 = 140

45x = 140 - 5

45x = 135

x = 135/45

x = 3

Answer:

h(x) = 10 [tex](0.4)^{x}[/tex]

Step-by-step explanation:

The exponential is of the form

h(x) = a [tex](b)^{x}[/tex]

Use the ordered pairs from the table to find a and b

Using (0, 10 ), then

10 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] - 1 ), thus

a = 10

h(x) = 10 [tex]b^{x}[/tex]

Using (1, 4 ), then

4 = 10 [tex]b^{1}[/tex] , hence

b = [tex]\frac{4}{10}[/tex] = 0.4

h(x) = 10 [tex](0.4)^{x}[/tex]

Answer:

Use the formula A = p x e^(rate x year), we have:

A = 800 x 2.71828^[(13/100) x 1] = 991.06 = ~911.1 dollar

Hope this helps!

:)

Answer:

21 cm

Step-by-step explanation:

Since this is an isosceles triangle, the two sides with a line through them must have the same value of x. Therefore, you can set up the following equation:

2x+11=53

2x=42

x=21 cm

Hope this helps!

Answer:

21

Step-by-step explanation:

53 - 11 = 42

42/2 = 21

~ Please mark me as brainliest :)

Answer:

x = -6 ± 2sqrt(10)

Step-by-step explanation:

x^2 + 12x+3 = 7

Subtract 3 from each side

x^2 +12x = 4

Take the coefficient of x

12

Divide by 2

12/2 = 6

Square it

6^2 =36

Add this to each side

x^2 +12x +36 = 4+36

(x+6)^2 = 40

Take the square root of each side

sqrt((x+6)^2) =± sqrt(40)

x+6 = ± sqrt(40)

x+6 = ± sqrt(4)sqrt(10)

x+6 =± 2sqrt(10)

Subtract 6 from each side

x+6-6 = -6 ± 2sqrt(10)

x = -6 ± 2sqrt(10)

Answer:

(x + 6)² = 40 → x = ±2√10 - 6

Step-by-step explanation:

x²+12x+3=7 can be solved by completing the square

To do so we must first find the term we are adding to both sides of the equation by using [tex](\frac{b}{2} )^2}[/tex]

In this case, our b is 12, so plugging this into the formula we get [tex](\frac{12}{2} )^{2} =6^{2} =36[/tex]

We first need to subtract the 3 from both sides of the equation to get x²+12x=4

We then can add the 36 to both sides of the equation: x² + 12x + 36 = 4 + 36 → x² +12x + 36 = 40

Now we are able to factor the left side of the equation to get (x + 6)² = 40

To solve for x we need to take the square root of both sides [tex]\sqrt{(x+6)^{2} } =\sqrt{40}[/tex] to get x + 6 = ±2√10

Then we need to subtract 6 from both sides to get x = ±2√10 - 6

Answer:

[tex]16.76[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Equation: 2200 + (29 × 90) = 2610 + 2200

= 4,810

Answer:

company b 10,080 dollars

Step-by-step explanation:

23  number of uniforms that will result in equal costs at both companies.

Two or more expressions with an Equal sign is called as Equation.

Given that there are 25 students in the school's Pep Club.

The Pep Club can buy new uniforms from 2 different suppliers:

Company A charges $500, plus $22 per uniform.

Company B charges $360, plus $28 per uniform.

500+22x=360+28x

Subtract 360 on both sides

500+22x-360=28x

140+22x=28x

Subtract 22x on both sides

140=6x

Divide both sides by 6

x=23.3

The number of uniforms that will result in equal costs at both companies is 23.

The company A charges more than company B.

company B should the Pep Club choose

Hence, 23  number of uniforms that will result in equal costs at both companies.

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Answer:

25/4

Step-by-step explanation:

68x=425

x=6.25

25/4=6.25

The first four iterates of the function f(x) are 23, 163, 1143 and 8003

The function is given as:

[tex]f(x) = 7x + 2[/tex]

Where:

[tex]x_o=3[/tex]

Substitute 3 for x in f(x)

[tex]f(3) = 7 \times 3 + 2[/tex]

[tex]f(3) = 23[/tex]

Substitute 23 for x in f(x), for the next iteration

[tex]f(23) = 7 \times 23 + 2[/tex]

[tex]f(23) = 163[/tex]

Substitute 163 for x in f(x), for the next iteration

[tex]f(163) = 7 \times 163 + 2[/tex]

[tex]f(163) = 1143[/tex]

Substitute 1143 for x in f(x), for the next iteration

[tex]f(1143) = 7 \times 1143 +2[/tex]

[tex]f(1143) = 8003[/tex]

Hence, the first four iterates of the function f(x) are 23, 163, 1143 and 8003

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Answer:

1/216 or 1/6

Step-by-step explanation:

1/6 times 1/6 times 1/6

Answer: D) 48.75

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: length x width

Replacing with the values given and solving for A (area)

A= 7.5 ft x 6.5 ft =48.75 ft2

The area of the garden in square feet is 48.75. (option D).

Feel free to ask for more if needed or if you did not understand something.  

Answer:

4(x)+ 4(2)

Step-by-step explanation:

4(x + 2) = 4(x)+ 4(2)

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

Answer:

6^7

Step-by-step explanation:

6^3  * 6^4

We know that a^b*a^c = a^(b+c)

6^(3+4)

6^7

Answer:

6^3 x 6^4 = 279936

Hope this helped!

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table

m = [tex]\frac{-10+7}{2-1}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (2, - 10) , then

- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4

y = - 3x - 4 ← equation of linear function

Answer:

C

Step-by-step explanation:

C

46x+23=46x+23

23=23

Infinitely many solutions

Answer:

0.05 refers to the actual thickness of the sheet

Answer:

0.05 represents the amount of thickness the paper already had before you started the expriment. Hope this helps and go check out Quelenas'sboutique on Etsy.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Equation of the dotted line:

Slope: (-2-1)/(-2-0) = -3/-2 = 3/2

y = (3/2)x + 1

Region lies below the line, and the line is dotted:

y < (3/2)x + 1

Answer:

Shape B (The 2 by 12 one)

Step-by-step explanation:

Because the volume of shape B is 24 and the volume of shape A is 18.

The prism that could represent the prism that jake built is prism B.

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

The volume of the prism = 24 cubic centimetres.

The volume of a cube = 1 cube centimetre

This means a total of 24 cubes would have been used to make a prism of 24 cubic centimetres volume.

So, the prism that jake built is prism B i.e. 2*18 type prism.

Hence, the prism that could represent the prism that jake built is prism B.

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Answer:

Probability for flipping a coin twice and getting heads: 1/2

Probability for flipping a coin twice and getting tails: 1/2

Probability for getting heads AND tails: 0

Probability for getting heads or tails: 1/2

Step-by-step explanation:

Probability is how likely something happens. Since there is only 2 options, the probability for getting one of them would be 1/2 and getting both of them 0, because you can only get one of them. Probability for getting heads or tails would be the same. I'm not sure what your question was, so I did all possible answers. Hope this helps!

Answer:

b

Step-by-step explanation:

you do

[tex]75^2 + 2 \times 75 \times \sqrt{75^2 \div 4 + 90^2 = 20250[/tex]

Answer: -4

Step-by-step explanation:

negatives are basically just 1-2-3

Answer:

-4

Step-by-step explanation:

1+(-2)=-1

-1+(-3)=-4

so the simplified is -4

Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe