What is the value of 9x÷y³?

Therefore ,option 3 is hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

From the provided figure, it is clear that there are two triangles.

ABC and EFG are the triangles.

AB = EF

AC = FG

BC = EG

As a result, the triangles ABC and EFG are congruent according to the triangle's SSS theorem, and angle A is equal to angle D.

Therefore ,D and E are hence the appropriate choices. By the Side-Angle-Side Triangle Congruence Theorem, these triangles are congruent.

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Answer:b

Step-by-step explanation:

Answer:

Part A: The equation of the planet's orbit is simply the equation of a circle with radius 70 (half the diameter) and center at the origin. The standard form equation of a circle with radius r and center at (h,k) is (x-h)^2 + (y-k)^2 = r^2. In this case, h and k are both 0, so the equation of the planet's orbit is simply x^2 + y^2 = 70^2.

Part B: The equation of the comet's path is a parabola with directrix x=100 and vertex at (85, 0). The standard form equation of a parabola with directrix x=p, vertex at (h,k), and focus at (h,k+f) is y = (4f/p^2)(x-h)^2 + k. In this case, p=100, h=85, k=0, and f is the distance from the vertex to the focus. We can find f by using the equation f = sqrt(p^2+4ah), where a is the distance from the vertex to the directrix. In this case, a=50, so f = sqrt(100^2+45085) = 50. Plugging this value into the equation for the parabola, we get y = (4*50/100^2)(x-85)^2 + 0. Simplifying this gives us y = (2/25)(x-85)^2.

Part C: To find the points where the planet's orbit intersects the path of the comet, we need to find the points where the x and y coordinates of the two equations are equal. Setting the two equations equal to each other gives us (2/25)(x-85)^2 = x^2 + y^2 - 70^2. Expanding the left side and rearranging the terms gives us x^2 - 170x + 15129 = 0. We can use the quadratic formula to find the solutions for x: x = (170 +/- sqrt(170^2 - 4115129))/2. This simplifies to x = 85 +/- sqrt(40900). Therefore, the points of intersection are (85 + sqrt(40900), 0) and (85 - sqrt(40900), 0). Rounding these values to the hundredths place gives us (92.84, 0) and (77.16, 0).

Answer:

Below

Step-by-step explanation:

S = dt        S = distance    d = rate = 6.5 m/ hr    t = time = 30 min = 1/2 hr

S = (6.5 m/hr) *(1/2 hr) = 3.25 miles

The value of distance you will run will be;

⇒ Distance = 3.25 miles

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

You are going to run at a constant speed of 6.5 miles per hour for 30 minutes.

Here,

Speed = 6.5 miles per hour

Time = 30 minutes

        = 30/60 hour

        = 1/2 hour

We know that;

⇒ Speed = Distance / Time

Substitute all the values we get;

⇒ 6.5 = Distance / (1/2)

⇒ 6.5 × 1/2 = Distance

⇒ Distance = 3.25 miles

Thus, We get;

⇒ Distance = 3.25 miles

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Answer:

Step-by-step explanation:

10,14,18

Answer:

Not a function

Step-by-step explanation:

The given function will be represented by a straight line graph, as shown below in the attachment.

On a coordinate plane, functions can be graphed. To graph a function, first select several input values and compute the outputs. The x value is the independent variable, and the y value is the dependent variable. Plot the points and connect them with a line or a curve, depending on whether the function is linear or curvilinear.

Linear functions are written as y = mx + b, where m is the slope of the line and b is the y-intercept. A linear function's graph is a straight line that represents a constant rate of change between two variables. All other functions are curvilinear or non-linear.

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Answer:

The answer is 47°

Step-by-step explanation:

90°- 43°

Answer:

x = 47

Step-by-step explanation:

subtract 43 from 90

Sodium has two radioactive cosmogenic isotopes (22Na, half-life = 2.605 years; 24Na, half-life = ~ 15 hours) that have been used as tracers in hydrologic studies.

Sodium-24, a radioactive isotope having a half life of 15 hours is used medically in blood studies and it decays by beta decay.

Na has received considerable attention in hydrologic research because it is a mobile element that participates in precipitation and dissolution reactions in ground water (clay formation, albitization of plagioclase). Their short half-lives (i.e. high decay rate) make their measurement relatively easy by common radioanalytical techniques.

Substantial concentrations of 22Na and 24Na have been measured in precipitation (Roedel, 1970; Perkins et al., 1970). However, no studies have as yet been published documenting the cosmogenic sodium systematics in ground or surface waters.

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Answer: We know that the order from the doctor is 450mg

The stock available has a value of 150mg

Order/Available stock=450mg/150mg=3 tablets

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

I believe the answer is 17.

Simplify

17

=17

Now,

Consider point O at zero on the number line.

Mark a point A such at number 4 such that OA= 4

Draw a perpendicular AB at point A of unit length.

Join AB

Taking radius of length AB draw an arc to intersect the number line at C.

Finally,    OC=\sqrt{17}

Thus proving the answer is 17 or [tex]\sqrt{289} = 17[/tex]

Answer:

The Answer is B

Step-by-step explanation:

Answer:A. 8.5 ft

Step-by-step explanation:

edge2021

The width of the footpath is 8.5 feet.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

given equation is :x² + y² = (r)²

We have for the pool:

x²  +  y²  = 2500      or   x²  +  y²  = (50)²

So, for the outside edge of the footpath

x²  +  y²  = 3422.25  or x² + y²  = (58.5)²

So, we find the radius of each circumference

r₁  = 50 feet

r₂ = 58,5  feet

58,5  - 50  =  8,5 feet

Thus, width of the footpath is 8.5 feet.

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Answer:

18,72,90

Step-by-step explanation:

Let the measure of /_M be 'x'. As reported,

/_N is 5 times of x = 5x

/_O is 4 times of x = 4x

In any ∆, sum of interior angles is 180°.

=> /_M + /_O + /_N = 180

=> x + 4x + 5x = 180

=> 10x = 180

=> x = 180/10 = 18

Angles are x = 18°

4x = 4(18°) = 72°

5x = 5(18°) = 90°

Answer:

722 cm ^2

Step-by-step explanation:

Answer:

7y+21

Step-by-step explanation:

7(y+4)-7

=7y+28-7

=7y+21

[tex]{\boxed{\mathcal{\red{7\:y\:+\:21}}}}[/tex] ✔

Also,

The value of [tex]\sf\purple{"y"\:is\:-3.}[/tex] ✅

[tex]7(y + 4) - 7 = 0 \\ ➪ \: 7 \: y + 28 - 7 = 0 \\ ➪ \: 7 \: y + 21 = 0 \\ ➪ \: 7 \: y = - 21 \\ ➪ \: y = \frac{ - 21}{7} \\ ➪ \: y = - 3[/tex]

[tex]7 \: ( \: y + 4 \: ) - 7 = 0 \\ ⇢  \: 7 \: ( - 3 + 4) - 7 = 0 \\ ⇢ \:  7 \: (1) - 7 = 0 \\ ⇢ \:  7 - 7 = 0 \\ ⇢ \:   \: 0 = 0[/tex]

[tex]\longrightarrow{\purple{L.H.S\:=R.H.S}}[/tex] 

Hence Verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

The formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that [tex]\sigma = 0.04[/tex].

Sample of 10 birds:

This means that [tex]n = 10[/tex].

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.04}{\sqrt{10}}[/tex]

[tex]M = 0.013[/tex]

The lower end of the interval is the sample mean of [tex]\overline{x}[/tex] subtracted by M.

The upper end of the interval is the sample mean of [tex]\overline{x}[/tex] added to M.

Then, the formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Answer:

From lowest to highest, the numbers would follow the following order:

1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.

Step-by-step explanation:

Given that the numbers 47/10, 4.606, 4 + 13/20 and 4.64 are presented, to order these from lowest to highest, the following calculations must be performed:

47/10 = 4.70

4,606

4 + 13/20 = 4 + 0.65 = 4.65

4.64

Therefore, from lowest to highest, the numbers would follow the following order:

1) 4.606, 2) 4.64, 3) 4 + 13/20, 4) 47/10.

Answer:

147.33

Step-by-step explanation:

mupitply 26*17 and then dived my 3

Answer:

3000ml

Step-by-step explanation:

3 liters= 3000ml

formula: multiply the volume by 1000 to find the milliliters

Answer:

[tex]\frac{29}{6}[/tex]

Step-by-step explanation:

Multiply the denominator by the whole number.

6 × 4 = 24

Add the answer from step 1 to the numerator.

24 + 5 = 29

Write answer from step 2 over the denominator

[tex]\frac{29}{6}[/tex]

Yes. Coupon B gives the lower price.

The price of coupon B is less than the price with Coupon A

Discount is defined as a deduction from the usual cost of something

Since there is a $16 rebate on a $55 jacket using Coupon A. The price when Coupon A is used will be:

price using Coupon A = $55 - $16 = $39

Since Coupon B gives a 35% discount on the price of the jacket. The price when Coupon B is used will be:

price using Coupon B = $55 - (0.35×55) = $35.75

Thus, the price of coupon B is less than the price with Coupon A

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Answer:

number 3 is 30, number 4 is 46 and the last one is 55

Answer:

3. 30°

4. 46°

5. 55°

Step-by-step explanation:

You add the two known angle measures and subtract that number from 180, since all the angle measures will add up to 180°. Hope this helped!

The term below that refers to events that all have the same probability of occurring is; (2) equal probability events

By definition, we can say that the probability of occurrence of an event is defined as the number of trials in which a particular event happened divided by the total number of trials.

Probability = number of trials in which event happened/total number of trials.

Now, when we say that all items have the same probability of occurring, what we simply mean is they all have equal chance of occurrence or they all have equal outcomes. For example when we flip a coin, we have equal chance of getting a head or tail.

Thus, the term that best defines the above would be Option 2.

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Answer:

Step-by-step explanation:

put all of the sets in a mean median and mode calcultor then add the three numbers toghter

Answer:

600 pounds of gunk

Step-by-step explanation:

Given data:

Initial volume of water = 200 gallons

Initial mass of gunk = 100 pounds

dumping rate of pipe( contaminated water into tank ) = 16 gallons per minute

concentration of Gunk = 0.6 pounds / gallon

removal rate of second pipe = 14 gallons per minute

Determine how much gunk will be in the tank when the tank is full

Amount of gunk when tank is full = 599.99 pounds ≈ 600 pounds ≈

Attached below is a detailed solution

Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.