Select all the expressions that are equivalent to
310
3
–
5
.

Answer:40

Step-by-step explanation:To find the area of a trapzoid first add base a to base b then multiply the height then after divide the product by 2 the answer is 40 because the height for the trapzoid is 5 and for base 1 is 6 also base 2 is 10.First add 10+6=16 then muitiply 16x5=80 divide 80 with 2 will give you 40.

Answer:

[tex]a^3 + b^3 = -4[/tex]

Step-by-step explanation:

Given

[tex]a + b = 3ab = 2[/tex]

Required

Solve: [tex]a^3 + b^3[/tex]

Rewrite the expression as:

[tex]a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3[/tex]

Factorize

[tex]a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]

Rewrite as:

[tex]a^3 + b^3 = (a + b)(a^2 + b^2- ab)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)[/tex]

Factorize

[tex]a^3 + b^3 = (a + b)((a + b)^2 - 3ab)[/tex]

Open brackets

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

Given that:

[tex]a + b = 3ab = 2[/tex]

This means that:

[tex]a + b = 2[/tex] and [tex]3ab = 2[/tex]

So, we have:

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

[tex]a^3 + b^3 = 2^3 - 3 * 2 * 2[/tex]

[tex]a^3 + b^3 = 8 - 12[/tex]

[tex]a^3 + b^3 = -4[/tex]

Answer:

x = 1

y = 2

Step-by-step explanation:

substitution method:

y = x+1

2(x+1) = 5 - x

2x + 2 = 5 - x

3x = 3

x = 1

find 'y':

y = 1+1

y = 2

Answer:

the answer for this question is C.270

Answer:

451.87 knots.

Step-by-step explanation:

Hope this helps

The average speed of the plane is 520 Knots.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled 390 nautical miles and t is 45 mins or 0.75 hours

Thus speed of the plane is = 390/0.75

                                             = 520

Hence, The average speed of the plane is 520 Knots.

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The value of the expression given in the task content upon solving the expression according to PEMDAS is; 11.

It follows from the task content that the expression given whose value is to be determined is; 9 + (20 x 1/4 ) − 6 ÷ 2.

By first solving the parentheses, we have;

9 + (5) − 6 ÷ 2

= 9 + 5 -3

= 11.

Hence, the value of the expression in discuss is; 11.

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Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

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Answer:

3.2%

Step-by-step explanation:

The computation of the annual rate of interest is shown below:

As we know that

Simple interest = Principal × rate of interest × time period

($1,857.60 - $1,800)  = $1,800 × rate of interest × 1

$57.60 = $1,800 × rate of interest × 1

So, the rate  of interest is

= $57.60 ÷ $1,800 × 100

= 3.2%

Hence, the rate of interest on annual basis is 3.2%

Answer:

250 gallons of water are being pumped out each hour

Step-by-step explanation:

It tells us that W is the amount of water in the pool at a time. It also tells us that at the start there is 9000 gallons in the pool. We also know t is the time in hours so 1 t = 1 hour.

W=9000-250t

We can substitute in what we know

The amount of water in the pool = 9000 gallons - 250 gallons times 1 hour

so that means if one hour passes 250 gallons are removed, and if 2 pass then 500 are removed showing that for every hour the pump is on 250 gallons of water are being sucked from the pool

Answer:

A 5873.814042

B 90%

Step-by-step explanation:

Answer:

9103.71828183

Step-by-step explanation:

9103.71828183=200+5-4+e+9000+100-200

Answer:

1. DB = 10 as diagonals of isosceles trapezoid are congruent

2. ∠DAB and ∠BCD are supplementary angles

3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles

4. AB = 15, DC = 25,

5. m∠ADC = 2x - 10, m∠ABC = 3x + 40

These are supplementary, find x first:

Answer:

nose

Step-by-step explanation:

dios porque nose ayudame dios mio

Answer:

107.50

Step-by-step explanation:

107.50 times 40 percent is 43

Answer: the answer is 107.5

Step-by-step explanation:

use

is/of = %/100 the / are fraction

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2

Answer:

-73

Step-by-step explanation:

Answer:

-73

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

False, negative times negative is always positive.

True, 10,000 is less than 99,999, so subtracting them will be negative.

False, 34 and 43 aren't equal to eachother so subtracting them can't end up to 0.

False. If you follow PEMDAS, you have to do multiplication first. In the left side, -80(30) is a negative value, while in the right, (-30)(-80) is a positive value.

Answer:

A

Step-by-step explanation:

A P E X

Answer:

mamfred stubbornly vows to never fly agin

Step-by-step explanation:

=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

None of the given sides or angles are congruent, so they are not congruent.

Answer:

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Step-by-step explanation:

Reference angle = θ

Opposite side = 16 (length of the side opposite the reference angle)

Hypotenuse = 44

Apply trigonometric function SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(\theta) = \frac{16}{44} [/tex]

[tex] \theta) = sin^{-1}(\frac{16}{44}) [/tex]

[tex] \theta) = 21.3 degrees [/tex] (nearest tenth)

Answer:

I couldn't find questions.

You can follow me ask help

Answer:

B. [tex] - \frac{5}{4} [/tex]

Step-by-step explanation:

Line is passing through the points (-4, 0) & (0, - 5)

Slope of the line

[tex] = \frac{ - 5 - 0}{0 - ( - 4)} \\ \\ = \frac{ - 5}{4} \\ \\ = - \frac{5}{4} [/tex]

Answer:

g(h(x)) = 9x² + 12x - 3

h(g(x)) = -3x² - 19

Step-by-step explanation:

g(h(x)) = (3x² + 2)² - 7

= 9x² + 6x + 6x + 4 - 7

= 9x² + 12x - 3

h(g(x)) = 3(x² - 7) + 2

= 3x² - 21 + 2

= 3x² - 19

Answer:

6 lb 12 oz is the answer

Step-by-step explanation:

Just did the subtraction