The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.

Answer:

x ≈ 13.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )

40 × cos70° = x , then

x ≈ 13.7 ( to the nearest tenth )

Answer:

5^1

Step-by-step explanation:

[tex]\sqrt{5} =5^{\frac{1}{2} }[/tex] (law of indices - fractional powers)

after converting all the numbers to this form:

[tex]\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\[/tex]

combine using law of indices:

5^(2/3+1/2-1/6) = 5^1

Answer:

Step-by-step explanation:

Let the initial velocity of the ball is u.

At the maximum height the speed is zero.

Let the time is t.

Use first equation of motion.

v = u - gt

0 = u - g t

t = u/g

Let the maximum height is H.

Use third equation of motion

[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]

Answer:

3 11/15 miles

Step-by-step explanation:

4 1/3 - 3/5

4 5/15 - 9/15

3 20/15 - 9/15

3 11/15 miles

Answer:

they are not similar. their one angle is only equal

Find the area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

The scale drawing is 2 square inches.

The area of the square draw will be 2 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.

Given that area is 900 ft. the developer hopes to sell the commercial space for $1,800,000, which would be equivalent to $1000 per 1 square foot (ft?) of the property's area.

The area of the actual property by diving the sale price by the price per square foot:

1,800,000 / 1,000 = 1,800 square feet

Divide actual are by the scale:

1800 / 900 = 2

Therefore, the area of the square draw will be 2 square inches.

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If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.

Answer: Perimeter = 10.5 cm

Step-by-step explanation:

Concept:

Here, we need to know what is an equilateral triangle.

An equilateral triangle is a triangle in which all three sides have the same length.

Perimeter = 3a

a = side length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

a = 3.5 cm

Given formula

Perimeter = 3a

Substitute the value into the formula

Perimeter = 3 (3.5)

Simplify

Perimeter = 10.5 cm

Hope this helps!! :)

Please let me know if you have any questions

Answer:

0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they order a nonalcoholic beverage, or they order an alcoholic beverage. The probability of a customer ordering a nonalcoholic beverage is independent of any other customer, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

At a Noodle & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.43.

This means that [tex]p = 0.43[/tex]

Find the probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.

This is:

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.43)^{0}.(0.57)^{7} = 0.0195[/tex]

[tex]P(X = 1) = C_{7,1}.(0.43)^{1}.(0.57)^{6} = 0.1032[/tex]

[tex]P(X = 2) = C_{7,2}.(0.43)^{2}.(0.57)^{5} = 0.2336[/tex]

[tex]P(X = 3) = C_{7,3}.(0.43)^{3}.(0.57)^{4} = 0.2937[/tex]

[tex]P(X = 4) = C_{7,4}.(0.43)^{4}.(0.57)^{3} = 0.2216[/tex]

Then

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0195 + 0.1032 + 0.2336 + 0.2937 + 0.2216 = 0.8716[/tex]

0.8716 = 87.16% probability that in a sample of 7 customers, fewer that 5 will order a nonalcoholic beverage.

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

Answer:

Shannon

Step-by-step explanation:

Cuando se habla de lo que uno tiene, podemos usar números positivos.

Por ejemplo:

Pedro tiene 10 manzanas.

Para el caso de deudas, utilizamos números negativos, por ejemplo:

Pedro tiene -10 manzanas

Lo cual significa que Pedro debe 10 manzanas a alguien.

Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:

-10 + 12 = 2

Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.

Ahora vamos a resolver el problema:

La cuenta de Sally tiene un saldo de:

S = -$200.90

El signo negativo quiere decir que Sally tiene una deuda de $200.90

La cuenta de su amiga Shannon tiene un saldo de:

S' = -$240.55

De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55

Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.

Answer:

angle BAD= angle BCD = 100

then,

angle BCD + angle ECD = 180

100+ angle ECD = 180

angle ECD= 180-100 = 80

angle ECD =80

Answer:

2.7 kilometers

Step-by-step explanation:

Distance per run = 50 meters

Number of run per day = 6

Distance run per day = Distance per run * Number of run per day

= 50 meters * 6

= 300 meters

Last week he ran 4 day

Total distance run last week = Distance run per day * number of days

= 300 meters * 4

= 1200 meters

this week he ran 5 days

Total distance run this week = Distance run per day * number of days

= 300 meters * 5

= 1500 meters

Total distance for two weeks = Total distance run last week + Total distance run this week

= 1200 meters + 1500 meters

= 2700 meters

1000 meters = 1 kilometer

2700 meters = 2700/1000

= 2.7 kilometers

Total distance for two weeks = 2.7 kilometers

Answer:

65 degrees because tangent chord angles are half the size of the arc

Answer:

B

Step-by-step explanation:

10k + 17 - 7j - 18 - 11k

-k - 7j - 1

Answer:

Step-by-step explanation:

a) x=6 (x= 8-2)

b) x=4 ( 4x=21-5=16 -> x=4

c) x=7 (3x=34-13=21 -> x=7)

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

Answer:

D

Step-by-step explanation:

Took quiz

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

I just substituted the x on all of them and only one got the correct y which is B.

...............................................................................................................................................

The Answer is B.

y=91*0.77^x

...............................................................................................................................................

Answer:

B. exponential; y = 91 • 0.77x

Step-by-step explanation:

Just is

Answer:

[tex]Slope = \frac{31}{29}[/tex]

Step-by-step explanation:

Step 1:  Define the slope formula

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Step 2:  Find the slope

[tex]Slope = \frac{71-9}{32-(-26)}[/tex]

[tex]Slope = \frac{62}{58}[/tex]

[tex]Slope = \frac{31}{29}[/tex]

Answer:  [tex]Slope = \frac{31}{29}[/tex]

Answer:

[tex]y = -\frac{2}{3}x + 2[/tex]

Step-by-step explanation:

The question is incomplete, as the graphs or equations of the lines are not given.

However, I will give a general explanation of calculating both intercepts

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]b \to[/tex] y intercept

So, the equation

[tex]y = -\frac{2}{3}x + 2[/tex]

has 2 as its y-intercept

Set y to 0, to calculate the x-intercept

[tex]0 = -\frac{2}{3}x + 2[/tex]

Collect like terms

[tex]\frac{2}{3}x = 2[/tex]

Multiply by 3/2

[tex]x = 2 * \frac{3}{2}[/tex]

[tex]x = 3[/tex]

So, the equation with the required criteria is:

[tex]y = -\frac{2}{3}x + 2[/tex]

Answer:

Does the answer help you?

Answer:

207y

Step-by-step explanation:

Answer:

(0. - 11 )

Step-by-step explanation:

To find the y- intercept let x = 0 and solve for y, that is

y = - 3(0)² - 7(0) - 11 = 0 - 0 - 11 = - 11

y- intercept = (0, - 11 )

Answer:

Step-by-step explanation:

30

Answer:

here,

3x-3x=

[tex] {x}^{2} - {x}^{2} [/tex]

x=0

432 π m²

Answer:

Solution given:

radius of dome[r]=12m

now

Are of dome(semi sphere)=3*πr²=3*π*12²=432πm²

The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

⇒ Radius of sphere = 12 meters

Now, We know that;

⇒ The surface area of a half sphere = 3πr²

Here, r = 12 m

Hence, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 3πr²

⇒ 3 × 3.14 × 12²

⇒ 1356.48 meters²

Thus, The surface area of a dome (a half sphere) with a radius of 12 meters is,

⇒ 1356.48 meters²

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You can solve this question with this equation:

[tex]A = Pe^r^t[/tex]

plugging in 6 in the t variable:

[tex]A = 30 e^.^3^4^(^6^)[/tex][tex]A = 230.7 million[/tex]

Answer:

Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

This is because when you do the vertical line test none of the lines should intersect more then one point. Remember in a function every x-value (input) has only one y-value (output).