{[4 (2+3)2] - 15) + 5​

Answer:

M = 20

Step-by-step explanation:

M/5 + 8 = 12

M/5 = 4

M = 20

Answer:

$836

Step-by-step explanation:

Add $75 and $89 together to get $164

Subtract $164 from $1,000.

1000 - 164 = 836

$836

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The amount of interest earned from the Mega Millions winnings after 7 years of investing in the PNC Bank money market account at 6% interest every half-year is $25,218.08.

The interest rate is increased to 12% because 6% every half-year translates to 12% annually.

The compounding period is 14 semi-annual periods because in 7 years there are 14 compounding periods.

N (# of periods) = 14 semi-annual periods (7 years x 2)

I/Y (Interest per year) = 12% (6% x 2)

PV (Present Value) = $20,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $45,218.08

Total Interest = $25,218.08

Thus, from the investment of $20,000 at 6% every half- year, you earn an interest of $25,218.08.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

Step-by-step explanation:

\(\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\\)

x = 10/3

Answer:

4.8 degrees F

Step-by-step explanation:

Since the morning temp was -23.3 degrees and the temperature rose 28.1 degrees before reaching the high you do, -23.3+28.1 to get your answer of 4.8 Degrees F. Hope this helps! :)

The high temperature for the day is 51.4°F

Given the following parameters

The morning temperature in Russia = −23.3∘ F

If the temperature rose to 28.1°F, we are to get its high temperature for the day.

High temperature for the day =  28.1°F - ( −23.3∘ F)

High temperature for the day = 28.1°F + 23.3∘ F

High temperature for the day =  51.4°F

Hence the high temperature for the day is 51.4°F

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The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

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The y intercept of the equation is 11. It interprets that the baby weighs 11 pounds at the time of birth.

y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0 in the equation. The point for a y-intercept will look like (0,y).

w = 11 + 2t

Putting t = 0, w = 11

y intercept of the equation is 11 pounds. Implying that, the baby weighed 11 pounds at time of birth i.e., at time of month 0.

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The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.

So, the frequency of the white allele (CW) can be calculated as follows:

CW = 1 - CR

Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:

CW = 1 - 0.7

  = 0.3

Therefore, the frequency of the white allele (CW) in this population is 0.3.

In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).

The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.

By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.

This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.

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Complete Question

Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.

What is the frequency of the white allele (CW ) in this population?

Answer:

88.33 hrs

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

You can divide 3000 miles by 75 hours to find the mile per hour. You get 40mph and you divide 4000 by 40 to get 100 hours for 4000 miles.

Answer:

1. x = \(\frac{4}{5}y + \frac{-7}{5}\)

2. x = \(\frac{-3}{5}y + \frac{14}{5}\)

Step-by-step explanation:

Answer:

Sydney has more money. She has $222.07 more than Jacob.

Step-by-step explanation:

Here are the values:

one thousand dollar bill=1,000

one hundred dollar bill=100

ten dollar bill=10

one dollar bill=1

dime=0.10

penny=0.01

From this, we can calculate the amount of money each person has:

Sydney=4(1,000)+2(100)+9(1)+8(0.10)+3(0.01)

Sydney=4,000+200+9+0.8+0.03

Sydney=$4,209.83

Jacob=3(1,000)+9(100)+8(10)+7(1)+7(0.10)+6(0.01)

Jacob=3,000+900+80+7+0.7+0.06

Jacob=$3,987.76

According to this, Sydney has more money.

$4,209.83-$3,987.76=$222.07

Sydney has $222.07 more than Jacob.

Answer:

1/8

Step-by-step explanation:

say the bar has 20 pieces. he has 10 pieces. and he gave away 1/4 of those 10

1/4 x 10 = 2.5

20 / 2.5 = 8

So his friend recieved 1/8

you could also just do 1/2 x 1/4 which is 1/8

Answer:

1/8 of the candy bar.

Step-by-step explanation:

Elias has 1/2 of a candy bar.

He gave 1/4 of 1/2 to his friend.

\(\sf Friend's s\ share = \dfrac{1}{4} \ of \ \dfrac{1}{2}\)

                      \(\sf =\dfrac{1}{4}*\dfrac{1}{2}\\\\=\dfrac{1}{8}\)

Answer:

Equilateral triangles are always similar, whereas isosceles triangles are not necessarily comparable.

The angles in one triangle must have the same values as the angles in the other triangle for two triangles to be identical. The lengths of the sides must be proportional.

Both may be isosceles, however one may have 30°, 30°120° angles and the other may have 20°, 20° 140° angles.

As a result, isosceles triangles are not necessarily comparable.

Because equilateral triangles always have three angles of 60 degrees apiece, any

All equilateral triangles are always similar and isosceles triangles are not always similar.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

A) No, all isosceles triangles are not similar. An isosceles triangle is a triangle with two sides of equal length. For all isosceles triangles to be similar, it would have to be the case that the ratios comparing the lengths of corresponding sides of all isosceles triangles are the same.

B) Yes. All equiangular triangles are similar. In geometry, we have a nice theorem that allows us to determine if two triangles are similar using the measures of their corresponding angles.

All equilateral triangles are always similar. Similar triangles are always congruent.

Therefore, all equilateral triangles are always similar and isosceles triangles are not always similar.

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Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

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The expression when expressed in its exponent is a²+c²

In mathematics, we should understand that exponent tell the power to which a number is raise.

 It shows the number of times a number multiplies itself to get the certain member.

The given expression is a*a*c*.

Using the law of multiplication that says when two or more numbers in the same base are multiplied, we add their powers.

Here a appeared twice a*a=a²

And c appeared twice that is c*c=c²

Combining the two exponents together we have that

a²+c²

In conclusion, the exponent of a*a*a*a is a²+c²

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To solve the exercise you can use a rule of three, like this:

Therefore, $16,000 U.S. Dollars are 2043.2 Chinese yuan.

Answer:

use the formula y2-y1/x2-x1 in order to find your answer for each coordinate

Step-by-step explanation:

Answer:

ADEF is correct

Step-by-step explanation:

how was ur day

In summary, the determinants are:

a) |A^3| = 27

b) |A^(-1)| = 1/3

c) |3A| = 3^(n+1)

a) The determinant of A cubed, denoted as |A^3|, is 27.

The determinant of A^3 can be found by cubing the determinant of A. Since |A| = 3, cubing it gives us 3^3 = 27. Therefore, |A^3| = 27.

b) The determinant of the inverse of A, denoted as |A^(-1)|, is 1/3.

The determinant of the inverse of A is the reciprocal of the determinant of A. Since |A| = 3, the determinant of A^(-1) is 1/|A| = 1/3. Therefore, |A^(-1)| = 1/3.

c) The determinant of 3A, denoted as |3A|, is (3^n) * |A| = 3^n * 3 = 3^(n+1).

To find the determinant of 3A, we can factor out the constant 3 from each entry of A. The determinant of a matrix is linear with respect to each row or column. Since each entry of A is multiplied by 3, the determinant is multiplied by 3^n, where n is the dimension of the matrix. Additionally, we know that |A| = 3. Therefore, |3A| = (3^n) * |A| = 3^n * 3 = 3^(n+1).

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Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

40% = 20

1% = \(\frac{20}{40}\) = 0.5

100% = 0.5 × 100 = 50

Answer:

No. of girls in class = 20

if 40% = 20 students then the rest 60% must be 30 students

No. of boys in class = 30

Total no. of students in class = 20+30

=50 students.

Step-by-step explanation:

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer:

Step-by-step explanation:

we will replace f(x) with y

y=8x-5  

x=8y-5  we solve for y

8y-5=x

y=x/8 +5/8

f^-1=x/8 +5/8

The test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 is 3.06.

To test whether a correlation is significant, we need to calculate the test statistic using the correlation coefficient (r) and the sample size (n). The formula for the test statistic is:

t = r * sqrt(n-2) / sqrt(1-r^2)
Here, r is the correlation coefficient (0.5) and n is the sample size (30).
Plugging in the given values of r = 0.5 and n = 30, we get:

t = 0.5 * √((30 - 2) / (1 - 0.5^2))
t = 0.5 * √(28 / 0.75)
t = 0.5 * √(37.33)
t = 0.5 * 6.11
t ≈ 3.06

Thus, the test statistic for this sample is approximately 3.06. To determine whether the correlation is significant, we would need to compare this test statistic to a critical value from a t-distribution with n-2 degrees of freedom at the desired significance level.

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To calculate the surface integral of the vector field f across the surface S using the divergence theorem, we can apply the following steps:

1. Firstly, let's determine the divergence of the vector field f(x, y, z). The divergence of a vector field f is denoted by ∇ · f and can be calculated by taking the dot product of the gradient operator (∇) with the vector field f.

2. Once we have the divergence of f, we can apply the divergence theorem, which states that the surface integral of f · ds across a closed surface S is equal to the triple integral of the divergence of f over the volume V enclosed by S.

3. The surface integral can then be calculated as ∬s f · ds = ∭v ∇ · f dV, where ∬s represents the surface integral, ∭v represents the triple integral, and ∇ · f represents the divergence of f.

4. To obtain the final answer, we need to evaluate the triple integral of ∇ · f over the volume V enclosed by the surface S.

In conclusion, to calculate the surface integral s f · ds using the divergence theorem, we need to find the divergence of the vector field f, apply the divergence theorem by equating the surface integral to the triple integral of the divergence over the volume, and then evaluate the triple integral to obtain the answer.

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Answer:

triangle 4.

Step-by-step explanation:

A translation only moves vertically or (and) horizontally our image.

This means that a translation does not change the size

A translation does not rotate the image.

Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).

Then the only option that seems correct is triangle 4

Answer: Which figure is a translation of figure 1? figure 4

Step-by-step explanation: correct on edge 2021

Answer:

C) 84 cm2

Step-by-step explanation:

\(A=\frac{a+b}{2} h\\\\A=\frac{8+16}{2} *7\\\\A=\frac{24}{2} *7\\\\A=12*7\\A=84\)

Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Simplification:

\(\sqrt{2^3-7} + |-4|\)

\(\sqrt{1} + 4\)

1 + 4

5

The y-value of the vertex of the function f(x) = -(x - 8)(x - 14) is 9.

To find the y-value of the vertex of the function f(x) = -(x - 8)(x - 14), we first need to find the x-coordinate of the vertex.

The vertex of a quadratic function in the form \(f(x) = a(x - h)^2 + k\) has the coordinates (h, k).

Find the x-coordinate (h) of the vertex. Since the given function is in factored form, the x-coordinate can be

found by taking the average of the two zeros (8 and 14).

h = (8 + 14) / 2

h = 22 / 2

h = 11

Substitute the x-coordinate into the function to find the y-value (k) of the vertex.

f(x) = -(x - 8)(x - 14)

f(11) = -((11 - 8)(11 - 14))

f(11) = -(3 × -3)

f(11) = 9

So, the y-value of the vertex of the function f(x) = -(x - 8)(x - 14) is 9.

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