Monique's family is moving to a town where surfing is a popular sport. she has never surfed but is excited to learn. monique's father suggested she practice her balance before attempting to surf. which activity would best help monique

Answer:

39 degrees

Step-by-step explanation:

97+44= 141

141 - 180 = 39

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Step-by-step explanation:

3x²+1+8=27

3x²+9=2

3x²=27-9

3x²=19

x²=19/3

\(x = \frac{ \sqrt[]{19} }{ \sqrt{3} } \)

Answer:

\(3^{2x} + 1 + 18 = 27\\ 3^{2x} = 18\\2x = log_{3} 18\)

Step-by-step explanation:

The density of the cuboid is 10.4 g/cm3 ( 1 d.p)

Density is the ratio of mass of a substance to its volume. It is measured in kg/m³ or g/cm³. It is a scalar quantity.

The density of a substance bis expressed as;

d = mass/volume

The mass = 416g

and the volume = l× w × h

length of the cuboid = 4cm

width of the cuboid = 2cm

and height = 5cm

Therefore the volume is calculated as :

V = 4× 2 × 5

V = 40cm³

the volume of the cuboid is 40cm³

The density can now be calculated as :

density = mass/volume

density = 416/40

= 10.4g/cm³

therefore the density of the cuboid is 10.4 g/cm³

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Therefore, y = (1/3) sin ((1/2)x²) is the solution of the initial value problem y′=(2/3)x√(1−9y²); y(0) = 0.

To solve the differential equation y′=(2/3)x√(1−9y²)

The differential equation to be solved is: y′=(2/3)x√(1−9y²).

Here, we need to find y.

For this, we will separate the variables and integrate both sides. Integration gives us:

`∫1/(√(1−9y²))dy=∫(2/3)x dx`

.On integrating the left side, we will use u-substitution.

u = 3y → du = 3 dy

dy = (1/3) du → y = (1/3) u.

Now the equation becomes `∫du/(√(1−u²))=(2/3)∫xdx`.

Now, substituting u = sin t in the left integral, we have: `

∫du/(√(1−u²))

=∫cos(t)dt

=[sin⁻¹(u)]+C`.

So, the left-hand side is `

[sin⁻¹(u)]+C

= [sin⁻¹(3y)] + C`

Now, the right-hand side will be:

∫xdx=(1/2)x²+D`

On combining both sides, we get the solution to the differential equation as: `

[sin⁻¹(3y)]+C=(1/2)x²+D`

On solving for y, we get:

y = (1/3) sin ((1/2)x² + D' ) or  y = (1/3) sin ((1/2)x²)

since we can choose D' = C.

To solve the initial value problem

y′=(2/3)x√(1−9y2); y(0) = 0

To solve the initial value problem

y′=(2/3)x√(1−9y2)

y(0) = 0

we will substitute x = 0, y = 0 in the general solution that we obtained in part .

y = (1/3) sin ((1/2)x²)

y = (1/3) sin ((1/2)0²) = 0.

So the required solution is y = (1/3) sin ((1/2)x²).

Therefore, y = (1/3) sin ((1/2)x²) is the solution of the initial value problem y′=(2/3)x√(1−9y²); y(0) = 0.

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Using the t-distribution, the upper bound of the 95 percent confidence interval for the gift baskets average shipping weight is of 69.06 ounces.

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

For this problem, the parameters are:

\(\voerline{x} = 66, t = 2.0154, s = 10.2, n = 45\)

Hence the upper bound of the interval is:

\(\overline{x} + t\frac{s}{\sqrt{n}} = 66 + 2.0154\frac{10.2}{\sqrt{45}} = 69.06\)

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Common difference = 2nd term - first term = -22.5-(-18)= -22.5+18 = -4.5

Answer:

This can be done in two ways -

- horizontal

- vertical

so I chose Vertical :

Answer:

T=2

Step-by-step explanation:

5x2=10

10+2=12

Could I please have BRAINLIEST.

Answer:

0.1\(\frac{}{6}\)

Step-by-step explanation:

When Juan cut a 1 lb loaf of banana bread into 6 slices, the weight of each slice forms a repeating decimal. A repeating decimal is a decimal number with repeating digit/s.

i.e \(\frac{1}{6}\) = 0.166666666666666...

To express the total weight for each slice, he should write a bar over 6 to show that the number repeats.

i.e \(\frac{1}{6}\) = 0.1\(\frac{}{6}\)

Note that \(\frac{}{6}\) has expressed that the division has 6 as the repeating digit in the decimal number.

Answer:

(x + 1)(3x - 10)

Step-by-step explanation:

Given

3x² - 7x - 10

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )

3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term

(x + 1)(3x - 10), thus

y = (x + 1)(3x - 10) ← in factored form

The atomic mass of an element is the average mass of the atoms of an element measured in atomic mass unit (amu, also known as daltons, D). The atomic mass is a weighted average of all of the isotopes of that element, in which the mass of each isotope is multiplied by the abundance of that particular isotope. (Atomic mass is also referred to as atomic weight, but the term "mass" is more accurate.)

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ± \(\sqrt{-16}\) = ± \(\sqrt{16(-1)}\) = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)

Answer:

88°

Step-by-step explanation:

r+92= 180

r= 180-92

r = 88°

Answer:

Step-by-step explanation:

sin(x+y) = sin(x)cos(y) + sin(y)cos(x)

sin(x-y) = sin(x)cos(y) - sin(y)cos(x)

Sin(x+y)sin(x-y) = (sin(x)cos(y) + sin(y)cos(x))(sin(x)cos(y) - sin(y)cos(x))

= sin^2(x)cos^2(y) - sin^2(y)cos^2(x)

= sin^2(x)(1-sin^2(y)) - sin^2(y)(1-sin^2(x))

= sin^2(x) - sin^2(x)sin^2(y) - sin^2(y) + sin^2(x)sin^2(y)

= sin^2(x) - sin^2(y)

So L.H.S=R.H.S

Hence proved

Consider the events , , . if a player rolls this weighted die and wins $1 if the outcome is in event , wins $ 2 if the outcome is in event , and loses $3 if the outcome is in event .

The expected value of this game is 0.70. The player should expect to win 0.70.

To find out the expected value of this game, we will use the formula

E(X)= ∑(xP(x))

where X represents the possible outcomes and P(x) represents the probabilities of those outcomes.

Let's determine the probabilities of each event:

Event 1: P(1) = 0.3

Event 2: P(2) = 0.5

Event 3: P(3) = 0.2

Using the information given in the question, we know that a player wins 1 if the outcome is in event 1, wins 2 if the outcome is in event 2, and loses $3 if the outcome is in event 3.

Therefore, the values of each event are:

Event 1: 1

Event 2: 2

Event 3: -3

Now, we can use the formula to calculate the expected value:

E(X)= ∑(xP(x))E(X)

      = (1 x 0.3) + (2 x 0.5) + (-3 x 0.2)

E(X) = 0.3 + 1 - 0.6E(X)

       = 0.7

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Answer:

Yes

Step-by-step explanation:

Answer:  yes is the answer bro hopefully this helps you

Step-by-step explanation:

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer: X=7

Equation: 3x+4=25

Subtract 25-4=21

Divide 21 by 3, which equals 7

Therefore, x=7

In this game, Annie and her friends roll two number cubes at the same time. The outcome of each roll is the sum of the two number cubes. Extra points are scored for rolling doubles, which means rolling the same number on both number cubes.


1. Annie and her friends each take turns rolling two number cubes simultaneously.
2. Each number cube has six sides, numbered from 1 to 6.
3. After rolling, Annie and her friends add up the numbers shown on the two cubes to determine the outcome of the roll.
4. If the two cubes show different numbers, the sum of those numbers is the outcome for that roll.
5. If the two cubes show the same number, it is considered rolling doubles, and extra points are scored.
6. The amount of extra points scored for rolling doubles may vary depending on the rules of the game.

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Answer:

-31

Step-by-step explanation:

Answer:

-2 x 4^2 + 1 = -31

Calculate exponents 4^2 : 16

= 2 x 16 + 1

Multiply and divide (left to right) -2 x 16: -32

= -32 + 1

Add and subtract (left to right) -32 +1:  -31

= -31

Least to greatest slope, the segments are B, C, A.

What is the segment's slope ?

The slope of a line segment indicates how steep the line segment is. It is the ratio of rise (the change in vertical height between the endpoints) to run (the change in horizontal length between the endpoints).

The segment's slope provides information about how quickly the water level is rising. In relation to the angle the segment makes with the +x axis, the slope is defined as the rise to run ratio.

Greater slope can be found in segments that have more ascent for a given run. With respect to the +x axis, segments with a greater reference angle have a steeper slope.

Segment B has the least slope in this case, followed by segment C, and then segment A, which has the greatest slope.

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Step-by-step explanation:

(4 - 3)^2 x (5 x 4)^0 =

(1)^2 × (20)^0 =

1 × 1 =

1

respusta 1

corazon  esterllsa  5

The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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(a) R4= 61.4626 and (b) L4= 61.4626.

In order to estimate the area under the graph of f(x) = 10 sqrt x from x = 0 to x = 4 using four approximating rectangles and right endpoints, we need to use the formula:

Rn = Δx [f(x1) + f(x2) + f(x3) + ... + f(xn)], where Δx is the width of each rectangle and f(xi) is the height of the rectangle at the right endpoint of the ith interval.

Step 1: Calculation of ∆x.∆x = (4 - 0)/4 = 1

Step 2: Calculation of xi for i = 1, 2, 3 and 4.x1 = 1, x2 = 2, x3 = 3, x4 = 4

Step 3: Calculation of f(xi) for i = 1, 2, 3 and 4.f(x1) = 10√(1) = 10f(x2) = 10√(2) ≈ 14.1421f(x3) = 10√(3) ≈ 17.3205f(x4) = 10√(4) = 20

Step 4: Calculation of R4.R4= ∆x [f(x1) + f(x2) + f(x3) + f(x4)]R4= 1[10 + 14.1421 + 17.3205 + 20]= 61.4626Area ≈ 61.4626 square units.

Step 5: Calculation of L4.Ln = ∆x [f(x0) + f(x1) + f(x2) + ... + f(xn-1)]

Where x0 is the initial value.

Here, we can find the value of L4 by using the left endpoints.

So, x0 = 0L4 = ∆x [f(x0) + f(x1) + f(x2) + f(x3)]L4 = 1 [f(0) + f(1) + f(2) + f(3)]L4 = 1 [10 + 14.1421 + 17.3205 + 20]L4 = 61.4626

Therefore, (a) R4= 61.4626 and (b) L4= 61.4626.

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