Given the following information about the arithmetic sequence an, find a10. A5=24 a8=39

Answer:

the bakery sold 1468 blueberry buns sooooo yeah

Step-by-step explanation:

As per the given equation of the parabola, the directrix of the parabola is equal to y = -2.5.

What is directrix?

A directrix in mathematics is a curve which is associated with the process generating a geometric object, such as:

Directrix - conic section

Directrix - generatrix

Directrix - rational normal scroll

The equation of a quadratic function, with vertex (h,k), is:

y = (a)(x - h)² + k

In which, a is the leading coefficient.

The directrix is: y = k + 4a.

In this problem, the equation of parabola is given as:

y = (1/8)(x-2)² - 3

The coefficients in the given equation are a = 1/8 = 0.125,

h = 2, k = -3,

Hence the directrix is given by:

y = -3 + 4 x 0.125

y = -3 + 0.5

y = -2.5.

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Answer:

[tex]\boxed{\sf Slope( m)=-\cfrac{3}{4}}[/tex]

Step-by-step explanation:

To find the slope between two points we'll use the Slope formula:-

[tex]\boxed{\sf \mathrm{Slope(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

______________

Given:-

Where,

[tex]\mathrm{\left(x_1,\:y_1\right)=\left(3,\:-4\right)}[/tex]

[tex]\mathrm{\left(x_2,\:y_2\right)=\left(-5,\:2\right)}[/tex]

[tex]\mathrm{m=\cfrac{2-\left(-4\right)}{-5-3}}[/tex]  ← Subtract

[tex]\sf m=-\cfrac{6}{8}[/tex]

[tex]\sf m=-\cfrac{3}{4}[/tex]

Therefore, the slope of the line is m = - 3/4.

______________________

Hope this helps!

Have a great day!

Answer:

24.41

Step-by-step explanation:

a^2+b^2=c^2

14^2+20^2=c^2

196+400=596

14^2+20^2=24.41^2

Answer:

1/28 kilo

Step-by-step explanation:

sb help me on my recent please

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

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Answer:

£9

Step-by-step explanation:

1:8=9

?:72

72÷9=8

9×1=9

If EOF = 26 and FOG= 38, then the measure of BOG would be 64 degrees.

What is a measure of angle?

An angle is measured in degrees, thus the term "degree measure." Because one complete revolution equals 360 degrees, it is divided into 360 parts. Each stage of the revolution represents a degree.

The given data:

A measure of EOF = 26 and a measure of FOG = 38.

Then we can say that OF is an angle bisector of angle EOG.

Then the measure of BOG = EOF + FOG

                                            = 26 + 38

                                            =  64 degrees.

Hence, If EOF = 26 and FOG= 38, then the measure of BOG would be 64 degrees.

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Answer:

length is 20 yards, width is 15 yards

Step-by-step explanation:

Length = width + 5

2(W + 5) + 2(W) = 70

2W + 10 + 2W = 70

4W + 10 = 70

4W = 60

W = 60 ÷ 4

W = 15 yards

L = 15 + 5

L = 20 yards

Answer: $58.50

Step-by-step explanation:

    We will set up a proportion to help us solve.

[tex]\displaystyle \frac{15\; \text{boxed lunches}}{\$175.50} =\frac{5\; \text{boxed lunches}}{\$x}[/tex]

     Next, we will cross-multiply.

15 * x = 175.5 * 5

15x = 877.5

x = $58.50

Answer:

[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{\boxed{4}}{8}-\dfrac{1}{8}=\dfrac{\boxed{3}}{\boxed{8}}[/tex]

Step-by-step explanation:

When adding or subtracting fractions that have different denominators, first rewrite the fractions as equivalent fractions with the same denominator.  To do this, find the lowest common multiple (LCM) of the denominators.

The given subtraction is:

[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}[/tex]

The LCM of the denominators 2 and 8 is 8.  Therefore, we need to rewrite the first fraction as an equivalent fraction with 8 as its denominator.  To do this, multiply its numerator and denominator by 4:

[tex]\implies \sf \dfrac{1}{2} \times\dfrac{4}{4}=\dfrac{4}{8}[/tex]

Therefore:

[tex]\implies \sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{4}{8}-\dfrac{1}{8}[/tex]

To subtract fractions with the same denominator, simply subtract the numerators. (The denominator stays the same).

[tex]\implies \sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{4}{8}-\dfrac{1}{8}=\dfrac{4-1}{8}=\dfrac{3}{8}[/tex]

Final solution

[tex]\sf \dfrac{1}{2}-\dfrac{1}{8}=\dfrac{\boxed{4}}{8}-\dfrac{1}{8}=\dfrac{\boxed{3}}{\boxed{8}}[/tex]

The area of hexagon is found to be 18 square units by using the giving conditions.

P = 6a, where an is the length of one of its sides, is the formula for a regular hexagon's perimeter. Here, the hexagon's interior angles are all 120 degrees.

Given: The perimeters of an equilateral triangle and a regular hexagon are equal.

We need to find the area of the hexagon.

Let,

x = side of trainagle

a = side of hexagon

3x = 6a

x = 2a

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4)x² = 12 square units

Area of hexagon is given as follows:

= 6([tex]\sqrt{3}[/tex]/4)a²

= (6[tex]\sqrt{3}[/tex]/4)(x²/4)

= 12(6)/4

= 18 square units

Therefore, the area of hexagon is found to be 18 square units by using the giving conditions.

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The number of centerpieces that she can make, using proportions, is of:

25.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem, and basic arithmetic operations, especially multiplication or division, to find the desired amounts in the same context of this problem.

In the context of this problem, the number of centerpieces is given by the division of the the total number of flowers by the number of flowers in each centerpiece.

The amounts are given as follows:

Hence the division giving the number of flowers per centerpiece is:

n = 430/17 = 25.2.

The amount is rounded down to 25, as for 26 centerpieces, more flowers would be needed.

Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project.

How many complete centerpieces can she make? Find the exact answer.

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Darryl receive $579.44  in dividends every year .

In the question ,
it is given that

Darryl's portfolio

number of shares of Essentia Inc. = 66

dividend received from each share in a year = $1.79 per share

So , amount of dividend received from Essentia Inc. = 66 × 1.79

= $118.14

number of shares of SFT Legal = 95

dividend received from each share in a year = $2.62 per share

So , amount of dividend received from SFT Legal = 95 × 2.62

= $248.9

number of shares of Grath Oil = 180

dividend received from each share in a year = $1.18 per share

So , amount of dividend received from Essentia Inc. = 180 × 1.18

= $212.4

So , total dividend Darryl receives = $118.14 + $248.9 + $212.4

= $579.44

Therefore , amount of dividend received by Darryl each year is $579.44  .

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Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This means that 6x - 19 + 3x + 7 + 84 = 180

6x - 19 + 3x + 7 + 84 = 180

==> combine like terms

9x + 72 = 180

==> subtract 72 from both sides

9x = 108

==> divide both sides by 9

x = 12

Answer:

h=2

h= -7/5

hope this helped :)

The total number of miles for the four trips is 25 miles.

Given that;

Linda traveled for one hour each day for four days at a speed that made her cover one mile in an even number of minutes. After the first day, she started to lose speed, and it took her 5 minutes longer to complete a mile than the day before. Her journey distance was also an integer amount of miles throughout the four days.

We know that,

Distance is a product of speed and time. We need to find the distance here with the use of the given conditions, time is 1 hour.

Speed = Distance / Time

Hence, speed is 1 mile per x minutes because we want to distance by multiplying the time and speed together yielding 60 min * 1 mile / x mins.

Minutes cancel out, so now we have 60/x as our distance for the first day.

The distance for the given case;

⇒ [tex]\frac{60}{x},\frac{60}{x+5},\frac{60}{x+10},\frac{60}{x+15}[/tex]

It is given that x = 5;

⇒ [tex]\frac{60}{5},\frac{60}{10},\frac{60}{15},\frac{60}{20}[/tex]

= 12 + 6 + 4 + 3

= 25

The total number of miles for the four trips is 25 miles.

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Answer:

Step-by-step explanation:

A and D are the answers that I would pick

Answer:

B and C

Step-by-step explanation:

- 1 / -3 = 1/3, we know negative divide by a negative number = positive

- -1/3 = 1/3, we know negative times negative = positive

Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

Answer:

False

Step-by-step explanation:

If is a real number and m and n are positive integers

80°,20° or 50°,50° are possible for the other two angles.

Given:

One angle of an isosceles triangle measures 80°.

we assumed that the 80° is one of the equal angles, then there is another 80° angle.That makes 160°.

Since a triangle always totals 180°,

180° - 160° = 20°.

if the 80° was the only different angle instead,the two remaining angles total:

180 - 80 = 100

Since we have two identical angles remaining, we need only divide the 100° in half to get the final answer:

100/2 = 50°.

Therefore 80°,20° or 50°,50° are possible for the other two angles.

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Answer:

No solution (0 = 1)

Step-by-step explanation:

Given equation,

→ 5 + 2x = 2x + 6

Then the value of x will be,

→ 5 + 2x = 2x + 6

→ 2x = 2x + 6 - 5

→ 2x - 2x = 1

→ 0 = 1

Hence, there is no solution.

[tex]\boxed{\begin{array}r \large{ \tt solution \: : } \: \: \: \: \: \\ \\ { \longrightarrow5 + 2x = 2x + 6}  \\ \\ \\ ( \sf 2x \: \: present \: \: on \sf\: \: both \: \: \\ \sf sides \: \: of \: \: equality \: \: \: \\ \sf \: \: gets \: \: \sf canceled\: \: out) \\ \\ \sf \longrightarrow5 \neq6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt \: \: therefore \: \: there \: \: is \\ \tt no \: \:solution \: \: for \: \: x \: \: \\ \\ \tt that \: \: is \: \: no \: \: value \: \: \: \: \\ \tt \: of \: \: x \: \: that \: \: satisfies \\ \tt the \: \: given \: \: equation\end{array} }[/tex]

Answer:

488

Step-by-step explanation:

2(20x8) + 2(20x3)+2(8x3)

Assuming the "x" is not a variable.

The answer is 488

However, if "x" is a variable. The equation would be

40x^8 + 56x^3

Answer:

488

Step-by-step explanation:

using BODMAS

METHOD 1.

[tex]2(20 \times 8) + 2(20 \times 3 + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) = \\ = 320 + 120 + 48 \\ = 448[/tex]

METHOD 2.

[tex]2(20 \times 8) + 2(2 \times 3) + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) \\ = 2(160 + 60 + 24) \\ = 2 \times 244 \\ =488[/tex]

Step-by-step explanation:

6.

the factors need to be zero for the x-intercepts.

but (-3 - 3) = -6 and not 0.

the same for (-7 - 7) = -14 and not 0.

his mistake was the signs.

what do I need to add to -3 to get 0 ? 3. and 7 to -7.

so, the correct f(x) is

f(x) = (x + 3)(x + 7)

to get x-intercepts at -3 and -7.

7.

in the same way we get the factors here : for a given x the y value has to be 0.

how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.

therefore, for (-6, 0) the factor has to be

(x + 6) as -6 + 6 = 0

for (2, 0) the factor has to be

(x - 2) as 2 - 2 = 0

pick one of them as your answer. they are both correct factors for f(x).

The missing side lengths are (m = 4[tex]\sqrt{6}[/tex] , n =  6[tex]\sqrt{2}[/tex]).

According to given triangle, Using triangular formula;

tan 30 = [tex]\frac{2\sqrt{6} }{n}[/tex]

⇒[tex]\frac{1}{\sqrt{3} }[/tex]  = [tex]\frac{2\sqrt{6} }{n}[/tex]

⇒ n = [tex]6\sqrt{2}[/tex]

  n = [tex]6\sqrt{2}[/tex]

Similarly,

sin 30 = [tex]\frac{2\sqrt{6} }{m}[/tex]

⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{2\sqrt{6} }{m}[/tex]

⇒ m = [tex]4\sqrt{6}[/tex]

   m = [tex]4\sqrt{6}[/tex]

so,

    m = [tex]4\sqrt{6}[/tex] and n = [tex]6\sqrt{2}[/tex]

So, the correct option is D.

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0.001828 (option b) is the probability that the hand contains 4 jacks .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

Number of ways to pick the four jacks = 4C4

Number of ways to pick the other 8 cards from 48= 48C8

Number of ways to pick a hand of 12 from the full deck = 52C12

P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11

=0.001828...

------------

This is the same as the probability of picking 8 cards that are not

jacks in a hand of 12 cards or 48C8/52C12.

-----------

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Answer:

a = 5 cm

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (13)² = a² + (12)²

→ 169 = a² + 144

→ a² = 169 - 144

→ a = √25

→ [ a = 5 cm ]

Hence, value of a is 5 cm.