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2 months ago

Guest #6849

2 months ago

**Answer: The correct option is (B) **

**Step-by-step explanation: **We are given to select the **correct equation that could be used to solve the following equation :**

To find the correct equation, we need to **simplify the given equation (i).**

**From equation (i), we get**

**Thus, the required equation is**

**Option (B) is CORRECT.**

Guest #6850

2 months ago

If we simplify like terms on left and right sides we gwt

16x + 9 = 4x

Its B

16x + 9 = 4x

Its B

Question

alyssa wants to build a fence around her garden to keep deer and rabbits out. the length of the fence must be at least 50 ft, but she only has 140 ft for entire perimeter

Solution 1

The perimeter of a rectangle is twice the sum of the length and width:

P = 2(L + W)

Since we are given L >= 50 ft and P = 140 ft:

140 >= 2(50 + W)

70 >= 50 + W

20 >= W

Therefore, the width is less than or equal to 20 ft.

(The maximum area is 50 x 20 = 1000 ft^2.)

P = 2(L + W)

Since we are given L >= 50 ft and P = 140 ft:

140 >= 2(50 + W)

70 >= 50 + W

20 >= W

Therefore, the width is less than or equal to 20 ft.

(The maximum area is 50 x 20 = 1000 ft^2.)

Question

HELP ME PLEASE I DONT UNDERSTAND THIS PROBLEM!!!!! Worth 20PT a ball is thrown with a slingshot at a velocity of 100 ft/sec at an angle 21 above the ground from a height of 5ft approximately how long does it take for the ball to hit the ground? acceleration due to gravity is 32 ft/s^2

Solution 1

It takes approximately 6.3 seconds to hit the ground.

We use the equation h(t)=-1/2gt²+v₀t+h₀ to set this up. g is the acceleration due to gravity, v₀ is the initial velocity and h₀ is the initial height:

h(t) = -1/2(32)t² + 100t + 5

h(t) = -16t² + 100t + 5

We will use the quadratic formula to solve this:

Since a negative amount of time makes no sense, the answer is 6.3.

We use the equation h(t)=-1/2gt²+v₀t+h₀ to set this up. g is the acceleration due to gravity, v₀ is the initial velocity and h₀ is the initial height:

h(t) = -1/2(32)t² + 100t + 5

h(t) = -16t² + 100t + 5

We will use the quadratic formula to solve this:

Since a negative amount of time makes no sense, the answer is 6.3.

Solution 2

**Answer:**

D) 2.37 seconds

**Step-by-step explanation:**

Took the test and got it wrong.

Question

Area is the distance around a shape while perimeter is the space within a shape. a) true
b) false

Solution 1

Area is the space inside a 2d object which looks like A = lw while perimeter is l + w = p

therefore it is false.

therefore it is false.

Solution 2

I am pretty sure that it is false

but if it is wrong im sorry

but if it is wrong im sorry

Question

Which point is an x-intercept of the quadratic function f(x) = (x – 8)(x + 9)? (0,8) (0,–8) (9,0) (–9,0)

Solution 1

The correct answer is: **[D]: ** " **(- 9, 0)** " .

**___________________________________________________________**

**Explanation:**

**___________________________________________________________**

Given the quadratic function in "factored form" ;

→ with "y" substituted for: "f(x)" — as follows:

**___________________________________________________________ **

** →** " **y = (x ****− 8)(x + 9) **" ;

** ****→ ** Find the **"x-intercept**" of the equation ;

** → ** **{**among the answer choices given**}** ;

**___________________________________________________________**

__Note:__ The "x-intercept(s)" of an equation refer(s) to the coordinates of the point(s) on the graph of the equation at which the graphed equation crosses the "x-axis".

In other words, the "x-intercept(s)" of an equation refer(s) to the solution of the equation at which: " x = 0 " .

**___________________________________________________________**

At this point, let us consider our given answer choices:

**___________________________________________________________**

Note:

**____________________________________________________________**

Consider the first 2 (two) given answer choices:

**____________________________________________________________**

**Choice: [A]:** " **(0, 8****) **" ;

**Choice: [B]:** " **(0, -8) **" .

**____________________________________________________________**

**→ Both of these are INCORRECT** ;

→ {since these 2 (two) answer choices have "non-zero" values as

"y-coordinates" .}.

Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "0" {zero}.

→ Both of these are INCORRECT ; since these 2 (two) answer choices have "non-zero" values as "y-coordinates".

→ Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "**0**" {**zero**}.

**Note that: **

**___________________________________________________________**

Choice: [A]:" **(0, -8)**" ; has "**- 8**" **— **[ **not:** "**0**" **]** **— **as a: "**y-coordinate**" ;

**and that**** **:

Choice: [B]: " **(0, 8) **" ; has " **8** " **—** **[not:** "**0**" **] — **as a: "**y-coordinate**".

**__________________________****__________________________________**

**This narrows our answer choices to the last 2 (two) remaining choices:**

**____________________________________________________________**

**Choice: [C]:** " **(9, 0) **" ; **AND: **

**____________________________________________________________**

**Choice: [D]: ** "** (- 9, 0) **" .

**____________________________________________________________**

Note that both of them could be "**x-intercepts**" ; since both of them have

values of "**0**" **{**zero**}** as "**y-coordinates**" .

**____________________________________________________________**

**→** Let us examining EACH of the remaining 2 (two) answer choices. It does not matter the order, but let us start with: **Choice: [C]: ** " **(9, 0) **" .

→ Consider the original equation:

**____________________________________________________________**

→ "** ****y = (x ****− 8)(x + 9) **"** **

→ Note the answer choice given for Choice: [C]: " (9, 0)" .

→ This means that when we plug in "9" for "x" , we should get "0" for "y" ;

→ Let us plug in these values for "x" to see if "0" (for "y") holds true:

→ 0 =?**(9 ****− 8)(9 + 9) ?? ; **

→ 0 =? (1) ( 18) ?? ;

→ 0 ≠ 18 ;

** → ** As such: **Choice: [C]:** " **(9, 0)**" **— is INCORRECT.**

**____________________________________________________________**

→ At this time, we **may** assume that: "**Choice [D]**: " **(-9, 0)**" — the only remaining answer choice is the correct answer.

→ However, we shall examine this "answer choice" appropriately; as follows:

**____________________________________________________________**

**→** Consider the original equation:

**____________________________________________________________**

→ "** ****y = (x ****− 8)(x + 9) **"** **

→ Note the answer choice for: [C]: " ( - 9, 0)" .

→ This means that when we plug in "**-9**" for "**x**" , we should get "**0**" for "**y**" ;

→ Let us plug in these values for "**x**" ; to see if "**0**" **(for** "**y**"**) ; **holds true:

**→ 0 =?** **(9 ****− 8)(- 9 + 9) ?? ; **

→ 0 =? (1) ( 0) ?? ;

→ 0 =? 0 ?? ;

→ 0 = 0 ! Yes!

**___________________________________________________________**

**As such: **

__________________________________________________________

→ The correct answer is:**Choice: [D]:** " **(-9, 0)"** .

**___________________________________________________________**

Given the quadratic function in "factored form" ;

→ with "y" substituted for: "f(x)" — as follows:

In other words, the "x-intercept(s)" of an equation refer(s) to the solution of the equation at which: " x = 0 " .

At this point, let us consider our given answer choices:

Note:

Consider the first 2 (two) given answer choices:

→ {since these 2 (two) answer choices have "non-zero" values as

"y-coordinates" .}.

Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "0" {zero}.

→ Both of these are INCORRECT ; since these 2 (two) answer choices have "non-zero" values as "y-coordinates".

→ Note that by definition, all "x-intercepts" MUST have "y-coordinates" with a value of "

Choice: [A]:

Choice: [B]:

Note that both of them could be "

values of "

→ 0 =?

→ 0 ≠ 18 ;

→

→ However, we shall examine this "answer choice" appropriately; as follows:

→

→ 0 =? 0 ?? ;

→ 0 = 0 ! Yes!

→ The correct answer is:

Question

The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean? please provide explination

Solution 1

We shall use the z-table to solve for the margin of error. The formula for the margin of error is

The value of z will be taken with the assumption that the significance level is 5%. So, α=0.025. Then .

So, based from this, the margin of error is

The margin of error is about 2%.

The value of z will be taken with the assumption that the significance level is 5%. So, α=0.025. Then .

So, based from this, the margin of error is

The margin of error is about 2%.

Question

Find the quotient. 6^8/6^6

Solution 1

The answer would be 1^2.

To find this, first you divide 6 (numerator) by 6 (denominator) to get 1. Then you subratct the power of 6, from the power of 8, to get 2. Thus getting a final answer of 1^2.

I hope this helps!

To find this, first you divide 6 (numerator) by 6 (denominator) to get 1. Then you subratct the power of 6, from the power of 8, to get 2. Thus getting a final answer of 1^2.

I hope this helps!

Solution 2

6^2

Because 8 - 6 = 2

Because 8 - 6 = 2

Question

Lee's summer job was to sell newspapers. He sold 24 in the morning. In the afternoon, he sold 2/7 of the remaining newspapers. The number of newspapers left was 1/2 of the number he started with at the beginning. How many newspapers did lee start with? Thank you! I can't have any equations in the answer!

Solution 1

Given:

x = beginning number of newspapers

24 = sold in the morning

(x - 24) * 2/7 = sold in the afternoon

x * 1/2 = remaining newspapers

5/7 of the remaining newspaper is equal to 1/2 of the original number.

(x - 24) * 5/7 = 1/2 * x

5x/7 - 120/7 = x/2

5x/7 * 2/2 - 120/7 * 2/2 = x/2 * 7/7

10x/14 - 240/14 = 7x/14

10x/14 - 7x/14 = 240/14

3x/14 = 240/14

14 * 3x/14 = 14 * 240/14

3x = 240

x = 240/3

**x = 80**

80 - 24 = 56 remaining newspaper in the morning

56 * 2/7 = 16 sold in the afternoon

80 - 24 - 16 = 80/2

40 = 40 remaining newspaper for the day.

x = beginning number of newspapers

24 = sold in the morning

(x - 24) * 2/7 = sold in the afternoon

x * 1/2 = remaining newspapers

5/7 of the remaining newspaper is equal to 1/2 of the original number.

(x - 24) * 5/7 = 1/2 * x

5x/7 - 120/7 = x/2

5x/7 * 2/2 - 120/7 * 2/2 = x/2 * 7/7

10x/14 - 240/14 = 7x/14

10x/14 - 7x/14 = 240/14

3x/14 = 240/14

14 * 3x/14 = 14 * 240/14

3x = 240

x = 240/3

56 * 2/7 = 16 sold in the afternoon

80 - 24 - 16 = 80/2

40 = 40 remaining newspaper for the day.

Question

Cesar had $50. He spent $20 on books and $6 on snacks. Which expression represents how much money Cesar has now?

Solution 1

24 bucks is what he has left

Solution 2

Starting Amount: $50

$50 - 20 = $30

$30 - 6 = $24

Cesar now has**$24 **left to his name!

$50 - 20 = $30

$30 - 6 = $24

Cesar now has

Question

The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box is 3 inches. What is the area of the top of the box?

Solution 1

The area of the top of the box is 10 cubic inches

Question

The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm

Solution 1

**Answer:**

**16 cm**

**Step-by-step explanation:**

**Given : **The area of triangle ABC is 24 square centimeters.

**To Find: ** If B = 30° and a = 6 cm, what is the measure of side c?

**Solution:**

Formula :

a = 6

Area = 24

B = 30°

**Substitute the values in the formula**

**Hence the measure of side c is 16 cm**

**So, Option c is correct.**

Solution 2

**Answer:**

16 cm

**Step-by-step explanation:**

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