8/7 = 12/k solve for k

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

Answer:

(4,0) , (2,0)

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

Answer:

an = 8 - 2*(n - 1)

Step-by-step explanation:

a1 ; .... ; an-1 ; an

r = an - an-1

r = (an-1 - 2) - an-1

r = an-1 - 2 - an-1

r = -2

So:

an = a1 + r*(n - 1)

an = 8 + (-2)*(n - 1)

an = 8 - 2*(n - 1)

The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

As per the given,

First term a₁ = 8

[tex]a_{n} =a_{n-1}-2[/tex]

The common difference between the AP will is,

d = [tex]a_{n} -a_{n-1}[/tex]

d = -2

The nth term of an AP is given as a + (n - 1)d

Thus,

[tex]a_{n}[/tex] = 8 + (n - 1)(-2)

[tex]a_{n}[/tex] = 8 - 2(n - 1)

Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".

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Answer:

g=1.5

Step-by-step explanation:

-0.4+0.9=0.5

0.5*3 1.5

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▹ Answer

8x - 3y - 9z

▹ Step-by-Step Explanation

(5x - y - 3z) + (3x - 2y - 6z)

Remove the parentheses

5x - y - 3z + (3x - 2y - 6z)

Collect like terms

8x - y - 3z - 2y - 6z

Final Answer

8x - 3y - 9z

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: 8x - 3y - 9z

Step-by-step explanation:

(5x - y - 3z) + (3x - 2y - 6z)

Remove Parenthesis

5x - y - 3z + 3x - 2y - 6z

Add Like Terms

8x - 3y - 9z

Answer:

B - The surface area is multiplied by 4.

Step-by-step explanation:

The first step is to figure out the original surface area of the shape using this formula;

A = 2(wl + hl + hw)

Which in this problem, means:

A = 2 (5 × 9) + 2 (3 × 9) + 2 (3 × 5) = 174.

Now, we must figure out the surface area once the measurements are doubled, using the same equation:

A = 2 (10 × 18) + 2 (6 × 18) + 2 (6 × 10) = 696.

If we then take a look back at the original surface area, we can already tell the answer is not D, as 696 is too high to be double 174, considering 150 × 2 is 300, and 24 × 2 is 28.

We can also eliminate option A, as it's clear multiplying 174 by 8 would take us into the thousands, since 8 × 100 is 800, and already over our target.

So we're left with two options - Multiplied by 4, or multiplied by 6.

If we know that multiplying 174 by 8 would take our answer into the thousands, it's also safe to assume multiplying by 6 would do the same, because 6 × 100 is 600, and multiplying 74 by 6 would take us way over target, too.

However, just to be on the safer side, we can divide 696 by 6;

696 ÷ 6 = 116.

Now we have eliminated answer C.

So the answer is B - The surface area is multiplied by 4.

(Confirmation -

696 ÷ 4 = 174

174 × 4 = 696)

Answer:

5

Step-by-step explanation:

6 - 3 = 3

√4 = 2

3 + 2 = 5

Answer:

5

Step-by-step explanation:

6-3 + sqrt(4)

PEMDAS says do the sqrt first

6-3 +2

Then add and subtract

3 +2

5

Answer:

12 hours

Step-by-step explanation:

$3000 / 36hours / 10weeks = $8.33333333333

$3000 / 30weeks / $8.33333333333 = 12hours

Answer:

12

Step-by-step explanation:

Since she only needs to make the same amount of money, if she works for 3 times as many weeks, she can work 3 times fewer hours per week, meaning she can work 1/6x36= 12 hours per week

Answer: The answer is A:

Step-by-step explanation:

2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2 looks like this-

[tex]2.6[/tex] × [tex]10^{9}[/tex] / [tex]1.3[/tex] × [tex]10^{2}[/tex]                       or                           [tex]2.6[/tex] × [tex]10^{9}[/tex] ÷ [tex]1.3[/tex] × [tex]10^{2}[/tex]

Basically a fraction means dividing.

Formula example picture:

According to the Quotient Rule, you have to divide two exponents with the same base, and keep the base and subtract the powers.

Back to the Explanation:

Since you have to divide or subtract with the same base,

[tex]10^{9} - 10^{2}[/tex]  remember only subtract the exponents with the quotient rule, and subtract in the same order.

so [tex]10^{9} -10^{2} = 10^{7}[/tex]

now lets move on to 2.6 and 1.6, like the exponents we subtract 2.6 and 1.6.

[tex]2.6 -1.3=1.3[/tex]

so the final answer would be [tex]1.3[/tex] × [tex]10^{7}[/tex]  

Hope you understood! Drink some water and take a break, don't stress! You got this! :)

Answer:

A cylinder with an opening down the middle, like a roll of paper towels

Step-by-step explanation:

Since the axis of rotation does not touch the cylinder, you end up with a hollow cylinder similar to a pipe.

Answer: A cylinder with an opening down the middle, like a roll of paper towels

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

Answer:

work is shown and pictured

Answer:

6x²-2=13

6x²=13+2=15( transposition method)

x²=15/6

x=√15/6

Answer:

It is the second one.

Step-by-step explanation:

6x²=17

x²=17/6

x=±sqrt(15)/6

here is the answer hope this helps

Step-by-step explanation:

7^3/4=

[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]

=

[tex] \sqrt[4]{343} [/tex]

yes

1.-3

2.3

3.10

4.2

5.3

Answer:

(5, 0) and (4, 0)

Step-by-step explanation:

According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.

Answer:

(4,0) and (5,0)

Step-by-step explanation:

The solutions of a parabola is when the parabola crosses the x- intercept.

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

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Answer:

A and D

Step-by-step explanation:

Answer:

420 unit^2.

Step-by-step explanation:

Use  the formula area = √(s(s-a)(s-b)(s-c)   where s = the semi-perimeter and ab and c are the 3 sides. (it is called Heron's Formula).

s = (29+29+42)/ 2

= 100/2

= 50.

Area = √50(50-29)(50-29(50-42)

= √176400

= 420.

The area of △ABC is 420 square units.

The formula for calculating Heron's formula is expressed as √(s(s-a)(s-b)(s-c)  

where:

Get the value of "s"

s = (29+29+42)/ 2

s = 100/2

s = 50.

Get the required area:

Area = √50(50-29)(50-29(50-42)

Area = √176400

Area = 420.

Hence the area of △ABC is 420 square units.

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Answer:

[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

1 is a trivial zero so we can write

[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]

hope this helps

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

Answer:

The enthalpy change per mole of sodium when sodium reacts with water is 28.36 kJ

Step-by-step explanation:

The given parameters are;

Mass of sodium = 8 grams = 0.008 kg

Volume of water = 227 cm³ = 0.000227 m³

Initial water temperature, T₁ = 298 K

Final water temperature, T₂ = 308.4 K

Specific heat capacity of water = 4.18 J/(K·g)

Density of water = 1000 kg/m³

Mass of water = 1000×0.000227 = 0.227 kg = 227 g

Heat change, ΔH = m×c×ΔT = m×c×(T₂ - T₁)

ΔH = 227*4.18*(308.4 - 298) = 9868.144 J = 9.868 kJ

Molar mass of sodium = 22.989769 g/mol

Therefore, 8 grams contains;

8/22.989769 = 0.348 moles of Na

Which gives the enthalpy change per 0.348 moles of Na when sodium reacts with water = 9.868 kJ

Therefore, when one mole of Na reacts with water we have;

The enthalpy change per 0.348/0.348 = 1 mole of Na when sodium reacts with water = 9.868 kJ/0.348 = 28,358.3 J = 28.36 kJ.

Answer:

around 30

Step-by-step explanation: dont quote me though

Answer:

48

Step-by-step explanation:

5 x^2 +x

Let x = 3

5 * 3^2 +3

Exponents first

5 * 9+3

Multiply next

45+3

48

Answer:

33

Step-by-step explanation:

If x=3, we have to plug it into 5x(2)+x.

1: Plug it into the equation

(5(3))(2)+3

2: Mutiply it all out

15(2)+3

30+3

33

Hope this helped!  :)

Answer:

13)5m-10

14)8y+16

15)-3m-12

16)a²+3a

17)h²-2h

18)2m²+8m

19)-2z+16

20)-4x²+40x

21) 12x and 60

22)x and 4

Answer:

B and C are the answers

Step-by-step explanation:

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

Answer:

Progression: 11, 18, 25

Rule: Add 7

Step-by-step explanation:

Given

List of numbers: 8, 11, 13, 18, 25, 37

Sample Progression: 8, 13, 18; with common difference of 5

Required

Form a different progression using any three listed numbers

To solve this; we'll make use of trial and error methods;

NB: I've tried several numbers; So, I'll just stick to the one that works

To start with;

Select ->11

Add 7 to 11: 11 + 7 - > 18

Add 7 to 18: 18 + 7 -> 25

With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

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