How many tens in 2017.

To determine the number of cups of cereal in 10 servings, you need to perform a calculation and move the appropriate number to each box. If the result is a whole number, that number should be moved to the first box. Otherwise, a 0 should be moved to the first box.

To find the number of cups of cereal in 10 servings, you need to know the amount of cereal in each serving. Without that information, it is not possible to provide an exact answer. However, if we assume that each serving contains a certain number of cups, we can calculate the total cups for 10 servings.
For example, let's assume each serving contains 1 cup of cereal. In this case, the calculation would be: 1 cup/serving * 10 servings = 10 cups. Since this is a whole number, we would move 10 to the first box.
If we assume each serving contains a fraction of a cup, such as 0.5 cups, the calculation would be: 0.5 cup/serving * 10 servings = 5 cups. Since this is also assume  a  whole number, we would move 5 to the first box.
In the absence of specific information about the amount of cereal in each serving, we cannot provide an exact answer.

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The formula that represents l in terms of f and w is l = (f-5w)/2

This is way of representing a variable with other variables in an expression, Given the expression that represent the amount of fence a farmer needs to create a garden with width w and length

f = 5w + 2l

Make l the subject of the formula

2l = f - 5w

Divide both sides by 2

2l/2 = (f-5w)/2

l = (f-5w)/2

Hence the formula that represents l in terms of f and w is l = (f-5w)/2

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Answer:

The slope of the line is 3.

Step-by-step explanation:

The y-intercept is 0,-2, and another point on the line is 1,1.

By using the slope formula y2 - y1/x2 - x1, we get:

1 - (-2) = 3

1 - 0 = 1

3/1 = 3, so the slope is 3

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The volume of the region obtained by cutting a solid cylinder with the equation\(\(x^2 + y^2 \leq 1\)\) using a sphere with the equation \(\(x^2 + y^2 + z^2 = 81\)\). The value obtained by evaluating the triple integral:

\(\(\int_{-1}^{1} \int_{-1}^{1} \int_{-\sqrt{81 - x^2 - y^2}}^{\sqrt{81 - x^2 - y^2}} dz \, dy \, dx\).\)

To find the volume, we first need to determine the limits of integration for the variables x, y, and z.

The cylinder \(\(x^2 + y^2 \leq 1\)\) represents a circular base with a radius of 1 in the xy-plane. The sphere \(\(x^2 + y^2 + z^2 = 81\)\) has a radius of\(\(\sqrt{81} = 9\)\).

Since the cylinder's base lies within the sphere, we can conclude that the volume lies within the sphere as well. Thus, the limits of integration for x, y, and z are as follows:

- For x, the limits are from -1 to 1, as the cylinder's base lies between x = -1 and x = 1.

- For y, the limits are from -1 to 1, as the cylinder's base lies between y = -1 and y = 1.

- For z, the limits are from \(\(-\sqrt{81 - x^2 - y^2}\)\) to \(\(\sqrt{81 - x^2 - y^2}\)\), as the z-coordinate can vary within the sphere's surface.

Now, we can set up the triple integral to calculate the volume. The integral will be:

\(\[\iiint_V dV = \int_{-1}^{1} \int_{-1}^{1} \int_{-\sqrt{81 - x^2 - y^2}}^{\sqrt{81 - x^2 - y^2}} dz \, dy \, dx\]\)

Evaluating this integral will give us the volume of the region cut from the solid cylinder by the sphere.

\(\(\int_{-1}^{1} \int_{-1}^{1} \int_{-\sqrt{81 - x^2 - y^2}}^{\sqrt{81 - x^2 - y^2}} dz \, dy \, dx\).\)

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Answer:

y = -x/3 -5

Step-by-step explanation:

when two lines are perpendicular, the relation between the slopes of the lines m1 and m2

m1m2 = -1

The general equation of a line is given as

y = mx + c where m is the slope and c is the intercept

Considering the given equation

6y-18x=12

6y  = 18x + 12

Divide through by 6

y = 3x + 2

comparing with y = mx + c,

m = 3

hence the slope of the perpendicular line m2

= -1/3

Given that the line passes through the point (0, -5)

Using the equation y - y1 = m(x - x1) to find the equation

y - - 5 = -1/3(x - 0)

y + 5 = -x/3

y = -x/3 -5

Answer: the answer is 4 cups of walnuts

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

1: The question asks for the first and last names of everyone in your group, including yourself. You can tell any group or personal identity.

2: The question involves solving the initial value problem (IVP) dy/dx = cos(x + y), y(0) = π/4 using an appropriate substitution. The steps include substituting u = x + y, differentiating u with respect to x, substituting the values into the differential equation, separating the variables, integrating both sides, and finally obtaining the solution y = C / (μ sin(x)), where C is the constant of integration.

3: The question asks to solve the differential equation cos(x) dx + (1 + 1/y) sin(x) dy = 0 by finding an appropriate integrating factor. The steps include determining the coefficients, multiplying the equation by the integrating factor, recognizing the resulting exact differential form, integrating both sides, and solving for y to obtain the solution y = C / (μ(x) sin(x)), where C is the constant of integration.

2. Let's consider the name " X" for the purpose of clarity in referring to the question.

For Question X:

X: Solve the differential equation cos(x) dx + (1 + 1/y) sin(x) dy = 0 by finding an appropriate integrating factor.

i. Identify the coefficients of dx and dy in the given differential equation. Here, cos(x) and (1 + 1/y) sin(x) are the coefficients.

ii. Compute the integrating factor (IF) by multiplying the entire equation by an appropriate function μ(x) that makes the coefficients exact. In this case, μ(x) = \(e^\int\limits^a_b \ (1/y) sin(x) dx.\)

iii. Multiply the differential equation by the integrating factor:

μ(x) cos(x) dx + μ(x) (1 + 1/y) sin(x) dy = 0.

iv. Observe that the left-hand side is now the exact differential of μ(x) sin(x) y. Therefore, we can write:

d(μ(x) sin(x) y) = 0.

v. Integrate both sides of the equation:

∫d(μ(x) sin(x) y) = ∫0 dx.

This simplifies to:

μ(x) sin(x) y = C,

where C is the constant of integration.

vi. Solve for y by dividing both sides of the equation by μ(x) sin(x):

y = C / (μ(x) sin(x)).

Hence, the solution to the given differential equation cos(x) dx + (1 + 1/y) sin(x) dy = 0 using the integrating factor method is y = C / (μ(x) sin(x)).

3. Solve the IVP using an appropriate substitution: dy/dx = cos(x + y), y(0) = π/4

i. Substitute u = x + y. Differentiate u with respect to x: du/dx = 1 + dy/dx.

ii. Substitute the values into the given differential equation: 1 + dy/dx = cos(u).

iii. Rearrange the equation: dy/dx = cos(u) - 1.

iv. Separate the variables: (1/(cos(u) - 1)) dy = dx.

v. Integrate both sides: ∫(1/(cos(u) - 1)) dy = ∫dx.

vi. Use the substitution v = tan(u/2): ∫(1/(cos(u) - 1)) dy = ∫dv.

vii. Integrate both sides: v = x + C.

viii. Substitute u = x + y back into the equation: tan((x + y)/2) = x + C.

Therefore, the solution to the IVP dy/dx = cos(x + y), y(0) = π/4 using the appropriate substitution is tan((x + y)/2) = x + C.

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Answer:

14

Step-by-step explanation:

Area is base times height, so to find the height, divide the area by the base. 168/12=14

To find the arc length of the polar curve r =\(4e^θ\), where 0 ≤ θ ≤ π, we can use the formula for arc length in polar coordinates:

\(L = ∫[θ1, θ2] √(r^2 + (dr/dθ)^2) dθ\)

First, let's find the derivative of r with respect to θ, (dr/dθ):

\(dr/dθ = d/dθ (4e^θ) = 4e^θ\)

Now, let's plug the values into the arc length formula:

\(L = ∫[0, π] √(r^2 + (dr/dθ)^2) dθ\\= ∫[0, π] √((4e^θ)^2 + (4e^θ)^2) dθ\\\\= ∫[0, π] √(16e^(2θ) + 16e^(2θ)) dθ\\\\= ∫[0, π] √(32e^(2θ)) dθ\\= 4√2 ∫[0, π] e^θ dθ\\\)

Integratin\(g ∫ e^θ dθ\) gives us \(e^θ\):

\(L = 4√2 (e^θ) |[0, π]\\= 4√2 (e^π - e^0)\\= 4√2 (e^π - 1)\)

Therefore, the exact arc length of the polar curve r = \(4e^θ\), 0 ≤ θ ≤ π, is \(4√2 (e^π - 1).\)

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The depth of the water increasing when the water is 13 feet deep is approximately 1.68 feet per minutes.

We know that the conical water tank has a radius of 12 feet and is 26 feet high.

We also know that water is flowing into the tank at a rate of 30ft³/min. In other words, our derivative of the volume with respect to time t is:

                                   \(\frac{dV}{dt} = \frac{10 ft^3}{min}\)

We want to find how fast the depth of the water is increasing when the water is 13 feet deep. So, we want to find dh/ dt.

First, remember that the volume for a cone is given by the formula:

                V = 1/3 π r² h    

We want to find dh/dt. So, let's take the derivative of both sides with respect to the time t. However, first, let's put the equation in terms of h.

We can see that we have two similar triangles. So, we can write the following proportion:

         \(\frac{r}{h} = \frac{12}{36}\)

Multiply both sides by h:

    ⇒ \(r = \frac{12}{36} h\)

So, let's substitute this in r:

\(V = \frac{1}{3} \pi \frac{12}{36} h^{2} h\)

Square:

\(V = \frac{1}{3} \pi \frac{144}{3888} (h^{2} ) h\)

Simplify:

\(V = \frac{144}{3888} \pi h^{2}\)

Now, let's take the derivative of both sides with respect to t:

\(\frac{d}{dt} (V) = \frac{d}{dt} [\frac{144}{3888} ] \pi h^{3}\)

Simplify:

\(\frac{dV}{dt} =\frac{144}{3888} \pi (3h^{2} ) \frac{dh}{dt}\)

We want to find dh/dt when the water is 13 feet deep. So, let's substitute 13 for h. Also, let's substitute 10 for dV/dt. This yields:

\(10 = \frac{144}{3888} \pi (3(13^{2} ) \frac{dh}{dt}\)

\(10 = \frac{144}{3888} \pi (507) \frac{dh}{dt}\)

\(10 = \frac{73008}{3888} \pi \frac{dh}{dt}\)

\(38880 = 73008 \pi \frac{dh}{dt}\)

\(\frac{dh}{dt} = \frac{38880}{73008} \pi\)

\(\frac{dh}{dt} = \frac{38880}{73008} X\frac{22}{7}\)

≈ 1.6737109 feet / min

The water is rising at a rate of approximately 1.68 feet per minute.

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Answer:

A minimum of 16 dollhouses

Step-by-step explanation:

profit on each dollhouse= sp-cp= 29-17= $12

if we divide 184 by 12 we get abt 15.33, which means, she has to sell more than 15 Dollhouses to make a profit.

so the minimum number of dollhouses to be sold are 16

Answer:

(7,3)

Step-by-step explanation:

The difference is 4x and -2.5y

So, apply that to (3,5.5) and you get (7,3)

Answer:

7, 3.5

Step-by-step explanation:

The greatest length that Liz can make using the strings is 6 cm.

Given,

In the question:

Liz has two piece of string one 18cm other 24cm long.

and, He want to cut them up to produce smaller piece of string that are all of the same length with no string leftover.

To find the greatest length, in cm.

Now, According to the question:

Let's know:

Greatest Common Factor (GCF):-

The GCF of a set of values (typically two) is the greatest factor that applies to every number.

We must find the GCF of 18 and 24:

List the factors of both values:

18: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 8, 12, 24

Let's identify the common factors between 18 and 24:

18: 1, 2, 3, 6, 9, 18

24: 1, 2, 3, 4, 6, 8, 12, 24

Hence, the GCF is 6.

The greatest length that Liz can make using the strings is 6 cm.

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The 12th mortgage payment is 23,998.11 pesos, which is calculated based on the loan amount, 2 years of accrued interest, and the monthly mortgage payment formula.

To calculate the amount of the 12th mortgage payment, we need to break down the steps involved:

1. Calculate the loan amount after 2 years of accruing interest:

The loan amount after 2 years will be the sum of the initial loan amount and the accrued interest. Since the interest is compounded semi-annually at a rate of 15%, the formula for calculating the future value (FV) of the loan after 2 years is:

FV = PV * (1 + r/2)²ⁿ

Where PV is the present value (loan amount), r is the interest rate, and n is the number of compounding periods.

In this case:

PV = 2,000,000 pesos

r = 15% = 0.15

n = 2 years

FV = 2,000,000 * (1 + 0.15/2)²²

FV = 2,000,000 * (1 + 0.075)⁴

FV ≈ 2,479,095.31 pesos

2. Calculate the monthly mortgage payment for the first 5 years:

The monthly mortgage payment during the first 5 years is half of the payments from the 6th to the 30th year. Since the mortgage is for 30 years, there are 360 monthly payments.

The formula for calculating the monthly mortgage payment is:

PMT = PV * (r/12) / (1 - (1 + r/12)⁽⁻ⁿ⁾)

Where PMT is the monthly payment, PV is the loan amount, r is the monthly interest rate, and n is the number of months.

In this case:

PV = 2,479,095.31 pesos (calculated in step 1)

r = 12% = 0.12

n = 360 months (30 years)

PMT = 2,479,095.31 * (0.12/12) / (1 - (1 + 0.12/12)⁽⁻³⁶⁰⁾)

PMT ≈ 23,998.11 pesos

3. Calculate the amount of the 12th mortgage payment:

Since the first monthly mortgage payment is made exactly 2 years after the loan is requested, the 12th mortgage payment corresponds to the payment made in the 13th month.

Therefore, the amount of the 12th mortgage payment is approximately 23,998.11 pesos.

In conclusion, the amount of the 12th mortgage payment is approximately 23,998.11 pesos. This calculation takes into account the initial loan amount, accrued interest over 2 years, and the monthly mortgage payment formula. It is important to note that the calculations provided are based on the information and assumptions given in the question.

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The most likely peptide segment to be part of a stable alpha helix at physiological pH would be option 3: pro-leu-thr-pro-trp. So, correct option is 3.

The stability of an alpha helix is influenced by several factors, including the propensity of the amino acid residues to adopt helical conformations and the presence of stabilizing interactions such as hydrogen bonding.

Proline (Pro) is known to disrupt helical structures due to its rigid cyclic structure, which introduces a kink and prevents the proper formation of hydrogen bonds. Option 1, which contains three consecutive glycines (Gly), may also hinder helix stability due to the absence of side chains that can participate in stabilizing interactions.

On the other hand, option 3 contains proline (Pro), leucine (Leu), and threonine (Thr), which have a relatively high propensity to form helices. Additionally, the presence of tryptophan (Trp) at the C-terminal end can contribute to stabilizing hydrophobic interactions within the helix.

While options 4, 5, 6, and 7 contain charged or aromatic residues, they may not provide the same level of stability as the combination of Pro, Leu, Thr, and Trp in option 3.

So, correct option is 3.

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Answer:

3

Step-by-step explanation:

1+2 = 3

I hate these type of qn

lol

Answer:

\(y\leq -x+4\)

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be \(y=-x+4\)

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that \(y\leq -x+4\) would be the equation for this inequality.

The first mistake Bailey made was in the reason he gave for the first statement. he should have written: reflexive property.

The reflexive property of congruence states that an angle will always be equal or congruent to itself.

For example, given an angle, ∠B, therefore:

∠B ≅ ∠B

In the diagram given, based on the reflexive property of congruence, ∠F ≅ ∠F.

Therefore, the first mistake Bailey made was in the reason he gave for the first statement. he should have written: reflexive property.

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Answer:

D. bailey did not match the corresponding bla bla bla. correct answer on khan, and screenshot proof below.

Step-by-step explanation:

Answer:

-45 is you answer

Step-by-step explanation:

Step-by-step explanation:

The divisor is the length of the vertical line

As the

fraction is

\(\sf \dfrac {Horizontal\:lines}{Vertical\:lines}\)

\(\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{B} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{minipage}}\)

Answer:

it maybe 4 i am not sure

Step-by-step explanation:

Answer:

a. 18 percent

b. $90 billion

Step-by-step explanation:

a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.

First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment

Difference=13%-4%

Difference= 9%

Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.

Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).

Therefore the the size of the GDP gap in percentage-point terms is 18 percent

b. Calculation to determine how much output is forgone because of cyclical unemployment

Forgone Output :

By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,

Hence,

Output forgone = (18/100) ×$500 billion

Output forgone=0.18×$500 billion

Output forgone=$90 billion

Therefore the Forgone Output is $90 billion

Answer:

option 4

Step-by-step explanation:

Option 3 -12% Decay

Step-by-step explanation:

This question is incomplete

Complete Question

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

a) 2x + 3x + 9

b) 2x + 3 + 9

c) 2x + 3x + 9x

d) 2 + 3x + 9

Answer:

a) 2x + 3x + 9

Step-by-step explanation:

Let the number of points shots a player scores = x

In a free throw, the player scored 9 points = 9

The player also scored a number of 2-point shots = 2x

In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half = 3x

The expression represents the total number of points the player scored in the game =

2x + 3x + 9

The length of the two equal sides of the isosceles triangle is approximately 9.5 centimeters.

The area of an isosceles triangle can be calculated using the formula A = (1/2)bh, where A is the area of the triangle, b is the length of the base, and h is the height of the triangle.

In an isosceles triangle, the height is the perpendicular distance from the base to the apex of the triangle.

In this problem, we are given that the area of the triangle is 24 square centimeters. Let x be the length of the two equal sides of the triangle, and let h be the height of the triangle. The base of the triangle can be found using the angle between the two equal sides:

b = 2xsin(75°)

Now we can use the formula for the area of the triangle to solve for h: 24 = (1/2)bh, h = (48/xsin(75°))

Since we have expressions for both the base and height of the triangle, we can use them to solve for x using the formula for the area of an isosceles triangle:

24 = (1/2)(2xsin(75°))((48/xsin(75°)))

x ≈ 9.5 cm (rounded to the nearest tenth)

Therefore, the length of the two equal sides of the isosceles triangle is approximately 9.5 centimeters.

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If point A is located at (-5, 8) and point C is located at (8, -2), the x-coordinate of point B is 29.375.

First, we need to find the coordinates of point B. We can use the ratio of AB to BC to find the distance from A to B and from B to C:

Let the distance from A to B be 3x, and the distance from B to C be 2x.

Then we can use the distance formula to find the coordinates of point B:

x-coordinate of B = x-coordinate of A + (distance from A to B)

x-coordinate of B = -5 + 3x

To find x, we need to solve for x given that B lies on the line segment AC.

The slope of the line segment AC is:

m = (y2 - y1) / (x2 - x1) = (-2 - 8) / (8 - (-5)) = -10 / 13

The equation of the line segment AC is:

y - y1 = m(x - x1)

Substituting in the values we know:

y - 8 = (-10 / 13)(x + 5)

Simplifying:

y = (-10 / 13)x - 250 / 13 + 104 / 13

y = (-10 / 13)x - 146 / 13

Since point B lies on the line segment AC, we can substitute the x-coordinate of B and solve for y:

y = (-10 / 13)(-5 + 3x) - 146 / 13

Now we have a system of equations:

y = (-10 / 13)(-5 + 3x) - 146 / 13

y = (2 / 3)x + 38 / 3

We can solve for x by setting the two expressions for y equal to each other:

(-10 / 13)(-5 + 3x) - 146 / 13 = (2 / 3)x + 38 / 3

Multiplying both sides by 39 to get rid of the fractions:

-30(5 - 3x) - 146 = 26x + 494

Expanding and simplifying:

-150 + 90x - 146 = 26x + 494

Subtracting 26x and adding 296 to both sides:

64x = 840

Dividing by 64:

x = 13.125

Therefore, the x-coordinate of point B is:

x-coordinate of B = -5 + 3x

x-coordinate of B = -5 + 3(13.125)

x-coordinate of B = 29.375 (rounded to the nearest tenth)

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Answer:

the answer would be 23/13 - 15/13i

Step-by-step explanation:

The result of the complex expression (10 – 4i) ÷ (5 + i) is \(\frac{23}{13} - i\frac{15}{13}\) .

Given, complex expression  (10 – 4i) ÷ (5 + i)

Complex roots: When the roots are complex in nature then they appear in complex conjugate pair.

Complex roots: a ± ib

Complex number pair : a ± ib

i = iota(imaginary number)

a = real part

b = imaginary part

Value of iota :

\(i = \sqrt{-1}\\ i^2 = -1\)

Complex expression :  (10 – 4i) ÷ (5 + i)

Apply rationalization,

Use formula \((a^2 - b^2) = (a+b)(a-b)\).

\(\frac{ (10 - 4i) }{(5 + i)} \times \frac{5-i}{5-i} \\\\= \frac{(10 - 4i) \times (5-i) }{(5+i)(5-i)} \\\\=\frac{50 -30i -4}{5^2 - i^2}\\ \\= \frac{46 - 30i}{25 +1 } \\\\= \frac{46 - 30i}{26} \\\\\)

\(= \frac{23}{13} - i\frac{15}{13}\)

The real part is positive and imaginary part is negative.

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Answer:

x = -11

Step-by-step explanation:

0.2(20x + 10) = -42

4x + 2 = -42                    Distribute 0.2 to the numbers in the paranthesis

4x = -44                          Add 2 to both sides

x = -11                              Divide 4 from both sides

Answer:

(4,5)

Step-by-step explanation:

take b as x2,y2

then apply mid point formula

x=(x1+y1)/2

y=(y1+y2)/2

Answer:

16

Explanation:

It states the answer in the question. Unless you meant something else?

Hope this helps!

Have a good day :)

Answer: He shared 16.

Step-by-step explanation: