if the vertex of a parabola is (0, 3), what is the axis of symmetry

Answer:

Step-by-step explanation:

So, I forgot the name of how to do it, but basically, the angle outside is equal to the two angles inside.

121=x+69

*solve*

121-69=x

52=x

It would equal 52 degrees

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

each rectangle is 9x1 which = 9x4 which equals 36 and the squares are 1x1 which is one. so 1x4= 4. 36+4 = 40. Don't forget your units!

Step-by-step explanation:

Math lol.

Answer:

Fifteen is a factor of the number because both 3 and 5 are prime factors.

Step-by-step explanation:

The computation is shown below:

The cube of 2 is

= 2^3

= 8

The square of 3 is

= 3^2

= 9

Now if we multiplied the 3 digits that it would be

= 8 × 9 × 5

= 360

As we know that the 15 is a factor of 360

Therefore the first option is correct

i.e.

Fifteen is a factor of the number because both 3 and 5 are prime factors.

And all the other options are incorrect

Answer:

15 and 35

Step-by-step explanation:

The conversions for (a) Octal: 674, Hexadecimal:  DE0, for (b) Octal: 1161 Hexadecimal:  9C1. and for (c) Octal: 11140.
Hexadecimal: 930

(a) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

110 111 100

Converting each group to octal, we get:

6 7 4

Therefore, the octal equivalent of 110111100 is 674.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1101 1110 0

Converting each group to hexadecimal, we get:

D E 0

Therefore, the hexadecimal equivalent of 110111100 is DE0.

(b) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 110 001

Converting each group to octal, we get:

1 1 6 1

Therefore, the octal equivalent of 1001110001 is 1161.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 1100 01

Converting each group to hexadecimal, we get:

9 C 1

Therefore, the hexadecimal equivalent of 1001110001 is 9C1.

(c) To convert from binary to octal, we group the binary digits into groups of three starting from the right and then convert each group to its octal equivalent. So, we have:

001 001 001 100 0

Converting each group to octal, we get:

1 1 1 4 0

Therefore, the octal equivalent of 10010011000 is 11140.

To convert from binary to hexadecimal, we group the binary digits into groups of four starting from the right and then convert each group to its hexadecimal equivalent. So, we have:

1001 0011 0000

Converting each group to hexadecimal, we get:

9 3 0

Therefore, the hexadecimal equivalent of 10010011000 is 930.

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Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

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Answer:

Nine more than the number of cars would be c+9

Answer:

9 + c

If there are 3 cars, then the equation would be 9 + 3, and 12 would be 9 more than 3

Answer:

£234.36

Step-by-step explanation:

The quotients that have their decimal points in the correct place are the second and last quotients

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

From the question, we ae to determine if the decimal point in each of the given quotients is in the correct place

To do this, we will evaluate each of the operations

Check

26.23 ÷ 4.3 = 6.1

Therefore, the decimal point is not in the correct place

Check

103.36 ÷ 3.8 = 27.2

Therefore, the decimal point is in the correct place

Check

43.29 ÷ 0.45 = 96.2

Therefore, the decimal point is not in the correct place

Check

198.74 ÷ 0.95 = 209.2

Therefore, the decimal point is in the correct place

Hence,

26.23 ÷ 4.3 = 0.61          No

103.36 ÷ 3.8 = 27.2        Yes

43.29 ÷ 0.45 = 9.62      No

198.74 ÷ 0.95 = 209.2    Yes

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Step-by-step explanation:

|4x + 8| > 2

Therefore 4x + 8 > 2 or 4x + 8 < -2.

When 4x + 8 > 2, 4x > -6, x > -1.5.

When 4x + 8 < -2, 4x < -10, x < -2.5.

Hence, x < -2.5 or x > -1.5.

Answer:

x= -3/2

4x < -6

x = -3/2

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

The type of research design is a longitudinal study. A longitudinal study is an observational research method in which data is collected for the same subjects multiple times over a long period of time, often several years or even decades.

A longitudinal study is an observational research method in which data is collected for the same subjects multiple times over a long period of time, often several years or even decades. In the given scenario, Celia conducted a survey with 50 married couples to explore how romantic partners share good news with each other. The survey collected data on the conversations between couples and their partners' reactions to the shared good news. Additionally, the couples were asked to rate their satisfaction with their relationships. This survey was conducted over a period of 21 days, with the participants completing questionnaires before bed each day. As a result, this research design is a longitudinal study because the same subjects were monitored for a prolonged period of time, specifically 21 days, and data was collected at regular intervals.

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Answer:

27

Step-by-step explanation:

<TRU = 1/2 (mTU - mQS)

1/2 (79 - 25)

1/2 (54)

54/2 = 27

TRU = 27

Answer:

At the end of 5 months you will own $100 dollars

Step-by-step explanation:

20 x 5 = 100

Answer:

no it will be 100

Step-by-step explanation:

20 x 5 = 100

Answer:

Step-by-step explanation:

What i would do is multiply both sides by 2z + 1

so you get z-6=20z+10

-19z=16

z=-16/19

Answer:

z is every integer and the study of z and its properties is a general understanding save the satisfying of your rate of change

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

The distance between the ships changing at 6 PM is 31.667 knots

Let x equal the distance covered by ship A,

y equal the distance covered by ship B, and

z represent the separation between ships A and B.

At noon, ship A is 40 nautical miles west of ship B.

While ship B is moving north at 21 knots,

ship A is moving west at 24 knots.

So, x = miles at noon + knots of ship A

x = 40 + 24t        .....ep. 1

y = 21t        .....ep. 2

Ships changing at 6 PM, So t = 6

Substituting values in eq 1 and 2

x = 40 + 24 (6) = 40 + 144 = 184

y = 21(6) = 126

We will use Pythagoras' theorem

Pythagoras theorem formula is z² = x² + y², where x is the perpendicular side, y is the base, and z is the hypotenuse side. The Pythagoras equation is applied to any triangle that has one of its angles equal to 90°.

z² = x² + y²               .....ep. 3

z² = (184)² + (126)²

z² = 33856 + 15876

z² = 49732

z = \(\sqrt{49732}\)

z = 223.0067

Substitute the x and y in equation 3

z² = (40 + 24t)² + (21t)²       .....ep. 4

Using differentiation

The geometrical meaning of the derivative of y = f(x) is the slope of the tangent to the curve y = f(x) at ( x, f(x)).

Power Rule: \(\frac{d}{dx} (x^{n}) = nx^{n-1}\)

Differentiating both sides of equation 4,

\(2z\frac{dz}{dt} = 2(40 + 24t)(24)\frac{dt}{dt} + 2(21t)(21) \frac{dt}{dt} \\\\2z\frac{dz}{dt} = 2(40 + 24t)(24) + 2(21t)(21) \\\\z\frac{dz}{dt} = (40 + 24t)(24)\frac{dt}{dt} + (21t)(21) \frac{dt}{dt} \\\\\frac{dz}{dt} = \frac{(40 + 24t)(24)+ (21t)(21) }{z} \\ \\\frac{dz}{dt} = \frac{(40 + 24(6))(24)+ 21(6)(21) }{223.0067} \\ \\\frac{dz}{dt} = \frac{4416\;+\; 2646}{223.0067} \\\\\frac{dz}{dt} = \frac{4416\;+\; 2646}{223.0067} \\\\\frac{dz}{dt} = 31.667\)

Hence, The distance between the ships changing at 6 PM is 31.667 knots

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If the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The number of marbles you have will depend on the total mass of the marbles, as the number of moles is a measure of the amount of substance (in this case, marbles) rather than the actual number of marbles.

To calculate the number of marbles, you would need to know the mass of one marble, and then divide the total mass of the marbles by the mass of one marble.

For example, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would first calculate the total mass:

mass = number of moles x molar mass

where the molar mass of a single marble is equal to its mass in grams, and the number of moles is given as 2:

mass = 2 moles x 5 grams/mole = 10 grams

Then, you can calculate the number of marbles by dividing the total mass by the mass of one marble:

number of marbles = total mass / mass of one marble

number of marbles = 10 grams / 5 grams/marble = 2 marbles

Therefore, if the average mass of one marble is 5 grams, and you have 2 moles of marbles, you would have 2 marbles.

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its the last option i think.

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

If BD is the diameter of the circle, and ∠BCD is an inscribed angle in the semicircle, then: B. m∠BCD = 90 degrees

Therefore, if BD is the diameter of the circle, and ∠BCD is an inscribed angle in the semicircle, then: B. m∠BCD = 90 degrees

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Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

The characteristics that describe the following data-set are given as follows:

Categorical and bivariate.

First, we classify the variable as either numerical or categorical, as follows:

In the context of this problem, the variables are as follows:

Thus the variable is categorical.

Additionally, there are two variables in this problem, the ones stated above, the type of service and the age, hence the data set is classified as bivariate.

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Answer:

The answer is 3x + 17w - 18

Answer:

13.39x10^10 gallons

Step-by-step explanation:

because if you add them together that is the sum

Answer:

The 2nd option:

1.339×10⁶

Step-by-step explanation:

To find the combined capacity, add the two values together so:

(8.12×10⁵ ) + ( 5.27 × 10⁵ )

It will be simpler to add if you change it out of its

standard form

812000+527000

= 1339000

Now you can write in back in standard form, which will be

1.339×10⁶

Answer:

5 kilo-meters per liter of gas

Step-by-step explanation:

180 divided by 12 would be 180 / 12 = 5 km per liter

(P.S., pls mark me brainliest, and have a nice day)

Answer:

Can you help me with this question please!! (D)

Answer: A) The decay constant (λ) is a measure of the rate at which a radioactive isotope decays. It is defined as the probability per unit time that an atom of the isotope will decay. The decay constant can be calculated using the formula:

λ = -ln(1 - x) / t

Where x is the fraction of the original activity that has decayed (in this case, 0.40), and t is the time over which the decay occurred (in this case, one week).

B) The half-life (T1/2) is the amount of time it takes for half of the original activity of a radioactive isotope to decay. It can be calculated using the formula:

T1/2 = ln(2) / λ

C) The mean lifetime (τ) is the average amount of time an atom of a radioactive isotope will survive before it decays. It can be calculated using the formula:

τ = 1 / λ

It's important to note that the above formulas are based on the exponential decay model, which assumes that the decay process is random and that the decay constant is constant over time. If the isotope does not decay in this way, these formulas may not give accurate results.

Step-by-step explanation:

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

y > 6 or y < -3

Step-by-step explanation:

y² - 3y > 18

Complete the square.

y² - 3y + 9/4 > 18 + 9/4

y² - 3y + 9/4 > 81/4

(y - 3/2)² > 81/4

y - 3/2 > 9/2, or y - 3/2 < -9/2

y > 6 or y < -3

Answer:

The greater than sign (on my computer) is above the period key.  So, just jit SHIFT then type the period key.

So, I guess you want to solve y^2  -3y > 18

We can factor that as y * (y -3) > 18

Well, if it is

y^2 -3y -18 = 0 then

Then y = 6 and y = -3

Hope that helps

Step-by-step explanation: