When 5x2−5 is completely factored, which is one of its factors?

Answer:

1/6, 1/3, 2/3

Step-by-step explanation:

Given data:

The sum of the first three terms of a finite geometric series is7/6 and their product 1/27 is .

Let a/r , a and ar be the three terms of a finite geometric series then:

a/r + a + ar = 7/6

and

(a/r) x (a) x (ar) = 1/27

Now first solving for a:

solving second equation

a^3r/r = 1/27

a^3= 1/27

a = 1/[tex]\sqrt[3]{27}[/tex]

a=1/3

Now solving for r:

Solving first equation

 a/r + a + ar = 7/6

Putting value of a= 3 in above equation

1/3r + 1/3 + r/3 = 7/6

(1+r+r^2)/3r= 7/6

6(1+r+r^2)= 7(3r)

6+ 6r+ 6r^2= 21r

6r^2 - 15r +6=0

r=2

Hence the first three terms of a finite geometric series are

a/r= (1/3)/(2)

    = 1/6

a= 1/3

ar= 1/3 (2)

   =2/3 !

Answer:

(a) [tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

(b) [tex](x-1) ^ 2 + y ^ 2 = 1[/tex]

Step-by-step explanation:

Remember that to convert from polar to rectangular coordinates you must use the relationship:

[tex]x = rcos(\theta)[/tex]

[tex]y = rsin(\theta)[/tex]

[tex]x ^ 2 + y ^ 2 = r ^ 2[/tex]

In this case we have the following equations in polar coordinates.

(a) [tex]r = 6[/tex].

Note that in this equation the radius is constant, it does not  depend on [tex]\theta[/tex].

As [tex]r ^ 2 = x ^ 2 + y ^ 2[/tex]

Then we replace the value of the radius in the equation and we have to::

[tex]x ^ 2 + y ^ 2 = 6 ^ 2[/tex]

Then [tex]r = 6[/tex] in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius [tex]r = 6[/tex].

(b) [tex]r = 2cos(\theta)[/tex]

The radius is not constant, the radius depends on [tex]\theta[/tex].

To convert this equation to rectangular coordinates we write

[tex]r = 2cos(\theta)[/tex]     Multiply both sides of the equality by r.

[tex]r ^ 2 = 2 *rcos(\theta)[/tex]    remember that [tex]x = rcos(\theta)[/tex], then:

[tex]r ^ 2 = 2x[/tex]        remember that [tex]x ^ 2 + y ^ 2 = r ^ 2[/tex], then:

[tex]x ^ 2 + y ^ 2 = 2x[/tex]         Simplify the expression.

[tex]x ^ 2 -2x + y ^ 2 = 0[/tex]     Complete the square.

[tex]x ^ 2 -2x + 1 + y ^ 2 = 1[/tex]

[tex](x-1) ^ 2 + y ^ 2 = 1[/tex]  It is a circle centered on the point (1, 0) and with radio [tex]r=1[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}1&-&d\\2&-&c\\3&-&a\\4&-&b\\5&-&f\\6&-&e\end{array}[/tex]

Value 1:

r = 5ft, h = 10ft. Substitute:

[tex]SA=2\pi(5)(10)+2\pi(5^2)=100\pi+50\pi=150\pi\ ft^2[/tex]

Value 2:

r = 2in, h = 4in. Substitute:

[tex]V=\dfrac{1}{3}\pi(2^2)(4)=\dfrac{1}{3}\pi(4)(4)=\dfrac{16\pi}{3}\\\\\pi\approzx3.14\to V\approx\dfrac{(16)(3.14)}{3}\approx16.75\ in^3[/tex]

Value 3:

r = 6m. Substitute:

[tex]V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi\ m^3\\\\\pi\approx3.14\to V\approx288(3.14)=904.32\ m^3[/tex]

Answer:

a

Step-by-step explanation:

Answer:

137.5 miles

Step-by-step explanation:

1. Do 55/2 to account for the half hour.(should equal 27.5)

2. Do 55 x 2 to account for the 2 hour drive.(should equal 110)

3. Add everything up. 110 + 27.5 = 137.5 miles

ANSWER

137.5kmi

EXPLANATION

The relation between speed , time and distance is given by the relation:

[tex]speed = \frac{distance}{time} [/tex]

Therefore

Distance= speed × time

John was traveling at a speed of 55mph

for 2 ½ hours.

The distance covered will be:

=55×2.5mi

=137.5mi

29 out of 40 as a percentage is simply 29 divided by 40 (29/40): 0.725 = 72.5%

126 out of 200 as a percentage is the same process = 63%

Hope this helps!! :)

29 out of 40 as a percentage

126 out of 200 as a percentage is 63%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

To express 29 out of 40 as a percentage:

(29/40) * 100 = 72.5%

Thus, 29 out of 40 as a percentage is 72.5%.

To express 126 out of 200 as a percentage:

(126/200) * 100 = 63%

Thus, 126 out of 200 as a percentage is 63%.

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False. It would be 5:2

Explanation

10/2=5

4/2=2

So 5:2

Answer:

No, False

Step-by-step explanation:

10:4 is equal to 10/4, and 5:1 is equal to 5/1.

5:1=5

10:4=2.5

2.5=/=5

Answer: All of them besides 2/9

Step-by-step explanation:

2/3 equels 6/9 and 8/12. That first explanation is for the last to answers.

The first 2 have numerators greater than the denominator.

Answer:

2(x + 4)(x − 3)

Step-by-step explanation:

Hope it helped you

Answer:

2(x + 4)(x - 3)

Step-by-step explanation:

Given

2x² + 2x - 24 ← factor out 2 from each term

= 2(x² + x - 12)

To factor the quadratic

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 1)

The factors are + 4 and - 3, since

4 × - 3 = - 12 and 4 - 3 = + 1, thus

x² + x - 12 = (x + 4)(x - 3) and

2x² + 2x - 24 = 2(x + 4)(x - 3)

Answer:

[tex]\boxed{\text{48 ft}}[/tex]

Step-by-step explanation:

The angle of depression from the camera at D and the angle of elevation from the target cars are congruent.

1. Distance of car A from tower

Consider ∆ACD

tan25 = 50/AC

AC  = 50/tan25 = 50/0.4663 = 107.2 ft

2. Distance of car B from tower

Consider ∆BCD

tan40 = 50/BC

AC  = 50/tan40 = 50/0.8391 = 59.6 ft

3. Distance from cars A and B

AB = AC – BC = 107.2 – 59.6 = 48 ft

The distance between the two cars is [tex]\boxed{\textbf{48 ft}}[/tex].

B: -5x + 5y - 5

Hope this is the answer you're looking for (:

2x - 8x - 6y + 9 - 14 + x + 11y

-6x + x - 6y + 11y - 5

-5x + 5y - 5

So the answer should be B

Answer:

2. 6j^2 + 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

An equation that represents the graph of g(x) include the following: B. [tex]g(x)=\sqrt[3]{x+2}[/tex].

In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, and for the same distance.

Based on the information provided in the diagram, we have the following:

(x, y)       →    (x + h, y + k)

(0, 0)     →    (-2, 0).

-2 = x + h

-2 = 0 + h

h = 0 - 2

h = -2 (2 units left)

0 = y + k

0 = 0 + k

k = 0.

In conclusion, a horizontal translation of 2 units to the left would map the parent cubic function f(x) to the transformed cubic function g(x);

g(x) = f(x + 2)

[tex]g(x)=\sqrt[3]{x+2}[/tex]

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Complete Question:

The graph of [tex]f(x) =\sqrt[3]{x}[/tex] is shown with g(x). Which equation represents the graph of g(x)?

[tex]g(x)=\sqrt[3]{x-2} \\\\g(x)=\sqrt[3]{x+2} \\\\g(x)=\sqrt[3]{x} +1\\\\g(x)=\sqrt[3]{x} -1[/tex]

Answer:

5) 140.8m^2   6) 360in^2

Step-by-step explanation:

5.

6.4 x 6.4 = 40.96

(7.8 x 6.4) ÷ 2 = 24.96

24.96 x 4 = 99.84

99.84 + 40.96 = 140.8m^2

6.

12 x 10 = 120in

13 x 10 = 130in

5 x 10 = 50in

(12 x 5) ÷ 2 = 30in

30 x 2 = 60in

60 + 50 + 130 + 120 = 360in^2

Answer:

79%

Step-by-step explanation:

The probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32 is 0.7881 = 78.81%

When the distribution is normal, we use the z-score formula.

In a set with mean  [tex]\mu[/tex]and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.

This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu=28,\sigma=5[/tex]

Find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

This is the p-value of Z when X = 32. So

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]Z=\frac{32-28}{5}[/tex]

[tex]Z=0.8[/tex]

Z=0.8 has a p-value of 0.7881

0.7881 = 78.81% probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.

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[tex]

5(6\times2y+y)+3y(-2\times2-5) \\

5(12y+y)+3y(-4-5) \\

60y+5y+3y(-9) \\

60y+5y-27y \\

60y-22y \\

\boxed{38y}

[/tex]

Answer:

m(ARC)EHL: 108°

m(ARC)LVE: 252°

Step-by-step explanation:

Hey, so initially, we should start off with some stuff:

The sum of the arcs add up to 360°

m∠EYL=72°

We can create a system and use substitution to find the measure of an arc we don't know.

Step 1: We can use the 'Secants exterior angle theorem' to help us find the measure of (ARC)EHL.

<EYL=1/2((ARC)EVL-[ARC]EHL) (the theorem)

Step 2: By using substitution, we can say that (ARC)EVL=360°-(ARC)EHL

Thus, when we substitute it back into the theorem, the answer will be <EYL=1/2((360°-(ARC)EHL)-(ARC)EHL)=72°

Step 3: When we solve this out (and you can replace (ARC)EHL with x when solving), you will get an answer of x=108° or (ARC)EHL=108°.

Step 4: (ARC)LVE will be equal to 360°-m(ARC)EHL, which, when we substitute, will be 360°-108°, which will come out to be 252°.

Therefore, by algebra, substitution, and part-whole-postulate, (ARC) LVE=252°.

This is right, this was one of my problems for my 8th grade RSM online homework :)

Answer:

Step-by-step explanation:

graph y = 1/3x + 1/2  

the slope is 1/3

y intercept is 1/2 ( that would be on the y axis)

slope would be 1/3 . ..up one over three

plot points starting with 1/2 . . and then move the points up one over three

with Y less than that line . . .it would have to move to the right on the number line . . .so you shade the right hand side of the line on the graph

Answer:

Step-by-step explanation:

5(x + 3)     Remove the brackets.

5*x + 3*5  Combine

5x + 15

Answer:

[tex]\huge\boxed{\sf{5x+15}}[/tex]

Step-by-step explanation:

Hello.

I hope you remember that the Distributive Property states that

a(b+c)=ab+ac :)

If not, no worries!

Let's simplify this expression:

[tex]\sf{5(x+3)[/tex]

[tex]\sf{5x+15[/tex]

Steps:

I distributed 5 by multiplying it times x and 3 and adding the products.

I hope it helps & have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

Answer:

42 apples altogether; $70

Step-by-step explanation:

If 3/7 of the apples in a box are red, that means 4/7 of the apples in the box are green. This means that (4/7)x=24 (x=number of apples altogether), since 24 of the apples are green. The equation can then be solved by dividing 24 by 4/7, giving us 42.

x=42

If Josh spent 2/5 of his money and had $42 dollars, $42 would be 3/5 of his money. This means that (3/5)x=42 (x= amount of money he started with). The equation can be solved by dividing 42 by 3/5, which gives us 70.

x=70

there were 42 apples in total and josh initially had $70.

Let the total number of apples be x. Therefore, [tex]\frac{4}{7}[/tex] of x are green apples, and this equals 24:

[tex]\frac{4}{7} \times x = 24[/tex]

We can solve for x as follows:

[tex]x = 24 \times \frac{7}{4}\\\\x = 42[/tex]

So, there are 42 apples in total.

Let y represent the total amount of money Josh had initially. According to the problem, after spending [tex]\frac{2}{5}[/tex] of his money, he had [tex]\frac{3}{5}[/tex] remaining, which equals $42:

[tex]\frac{3}{5} \times y = 42[/tex]

Now we can solve for y as follows:

[tex]y = 42 \times \frac{5}{3}\\\\y = 70[/tex]

Josh initially had $70.

So, there were 42 apples in total and josh initially had $70.

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. ΔABC denotes a triangle with vertices A, B, and C.

The red triangles that show a 90° counterclockwise rotation of the blue triangle are in options 1, 2, and 5.

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Answer:

3  2/3 miles

Step-by-step explanation:

distance = rate times time.

Here,

distance = (5.5 mph)(2/3 hr) = 3  2/3 miles

The sailboat can travel 3 2/3 miles in 2/3 hours by multiplying the speed (5 1/2 miles per hour) by the time (2/3 hours) to get the distance.

To determine how far a sailboat can sail in 2/3 hours when it can sail 5 1/2 miles in one hour, we need to perform a multiplication of the speed by the time. The speed of the sailboat is 5 1/2 miles per hour (which is the same as 11/2 miles per hour in improper fraction form), and the time is 2/3 hours.

Here are the steps to calculate the distance:

Convert 5 1/2 miles to an improper fraction: 5 1/2 = (5 times 2 + 1)/2 = 11/2.

Multiply the speed by the time: (11/2) times (2/3) = (11 times 2)/(2 times 3) = 22/6.

Simplify the fraction: 22/6 = 11/3 = 3 2/3 miles.

Therefore, the sailboat can travel 3 2/3 miles in 2/3 hours.

8950.1 / 10000 = 0.89501...

1000 x 10 = 10000, so you’ll need to divide 8950.1 1000 times!

<UST is 30* and I believe <RUS is 30* as well.

Answer:

381.051178

Step-by-step explanation:

222 (tan) 60=381.051178

The height of the tree is 381.05 ft.

Given distance of man from the bottom of the tree is 220 ft.

Let height of the tree be x ft.

Now we have to look up at a 60 degree angle to see the top of the tree.

So we can write in trigonometric ratio form, [tex]tan60= \frac{perpendicular}{base}[/tex]

[tex]\sqrt{3} =\frac{x}{220}[/tex]   ( tan 60=[tex]\sqrt{3}[/tex])

[tex]x= 220\times\sqrt{3}[/tex]

[tex]x= 381.05 ft[/tex]

The height of the tree is 381.05 ft.

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Credit union account

The savings account can a financial institution end is callable certificate of deposit. option D

Financial institutions have the right to terminate these accounts under certain circumstances, as outlined in their terms and conditions.

Reasons for termination may include customer inactivity, violation of account policies, changes in the institution's product offerings, or regulatory requirements.

Customers should carefully review the account agreements and be aware of any potential fees or penalties associated with account closure.

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The answer to this problem is 0.80

The square root of 7/11 is 0.240522846.

$9.95 - 30% = $6.97

The answer is 8! or 40,320.

8*7*6*5*4*3*2*1=40,320

Answer:

Maybe you might want the long 4 people in the back and the tiny one in the ground just on their knees.(not the begging way)

Also have the tall people give piggy back hold from the tall people for the picture that way it will seen fun.

Step-by-step explanation:

It depends on the theme of the photo if it's painting and fun art or fun time with friends I'd prefer the piggy bag one

If a trip or group photo for a travel I'd pick choice one. It depends believe me there is more thank 5 ways too.

PLZZ I'M IN THE NEED OF BRAINLIST MARK ME PLZZZ!!!

Answer:

SPED

Step-by-step explanation:

STEP 1. YOU GOT THAT COVERED

STEP 2. GOOGLE SPED CAUSE YOU PROLLY DONT EVEN KNOW WHAT THAT IS

Answer:

320 cubic cm

Step-by-step explanation:

To answer a prism volume question, also see it as a shape (in this case a triangle) that is very thick.

First step is to calculate the area of the shape.  We all know the formula to calculate the area of a triangle: (b x h)/2.  And we those two measures.  The height of the triangle is b (8 cm), the base of the triangle is a (10 cm).

A = (b * h)/2 = (10 * 8) / 2 = 80 / 2 = 40 sq cm

Then we multiply the base area of the prism by its height to get the total volume. In this case, the height is also known, h = 8 cm.

V = b * h = 40 * 8 = 320 cubic cm

Answer:

320

Step-by-step explanation:

The volume of a prism is the height times the area of the base.

V = hA

The base is a triangle.  The volume of a triangle is half the base times height.

V = h (½ ab)

Given a = 10, b = 8, and h = 8:

V = ½ (8) (10) (8)

V = 320