I need help yall. Brainliest for the first person who actually shows their work.
30 pts btw
just solve one of them, so ik how to do the rest

The solution to the equation \(cos(7x) = sin(4x+5)\)° is \(x = 7.73\)°.

To solve for x, we will use the trigonometric identity sin(θ) = cos(90° - θ) to convert the equation into an equivalent form.

\(cos(7x) = sin(4x+5)\) can be rewritten as \(cos(7x) = cos(90 - (4x+5))\)

Using fact that cosine function is periodic with a period of 360°, we will set angles inside the cosine functions equal to each other:

7x = 90° - (4x+5)°

Simplifying:

7x = 90° - 4x - 5°

7x + 4x = 90° - 5°

11x = 85°

x = 85° / 11

x = 7.73°.

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Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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Jamal will make $680 in a week if he sells $6000 and earns an 8% commission on his sales amount.

To calculate Jamal's earnings in a week, we need to determine his commission based on his sales amount and add it to his base pay.

Base pay: $200

Commission rate: 8%

Sales amount: $6000

First, let's calculate Jamal's commission:

\(Commission = Commission $ rate \times Sales $ amount\)

Commission = 8% of $6000

\(Commission = 0.08 \times $6000\)

Commission = $480.

Next, we add the commission to Jamal's base pay to find his total earnings:

Total earnings = Base pay + Commission

Total earnings = $200 + $480

Total earnings = $680.

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Answer: -4/7

Step-by-step explanation:

2/3 (1 + n ) = -1/2n

2/3 + 2/3n = -1/2n

Multiply both sides by 6

4 + 4n = -3n

4n + 3n = -4

7n = -4

Divide both sides by 7

n = -4/7

Answer:

Answer above its explained fully

First of all I am solving the question and then I will explain the hint...

\( \sf \: lim_{x\to 0} \: \frac{sin2x}{sin3x}\)

\( \sf \: lim_{x\to 0} \:( sin(2x)) \\ \sf \:lim_{x\to 0} \:( sin(3x))\)

\( \sf \: 0 \\ \sf \: 0\)

\( \sf \: lim_{x\to 0} \: (\frac{sin(2x)}{sin(3x)})\)

\( \sf \: lim_{x\to 0} \: (\frac{sin(2x) \times 2 \times 3x}{sin(3x) \times 2 \times 3x})\)

\( \sf \: lim_{x\to 0} \: (\frac{ 2 \times 3x \times sin(2x)}{3 \times 2x \times sin(3x)})\)

\( \sf \: lim_{x\to 0} \: ( \frac{2}{3} \times \frac{ \sin(2x) }{2x} \times \frac{3x}{ \sin(3x) } )\)

\( \sf \: \frac{2}{3} \times 1 \times {1}^{ - 1} \)

\( \boxed{ \tt \frac{2}{3}}\)

Answer:

O.26

Step-by-step explanation:

Divide The cost from the pieces

Answer:

26 cents a nugget

Step-by-step explanation:

I just did 5.20 divided by 20.

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

$10

Step-by-step explanation:

$500/50= 10

He needs to earn $10 an hour x the 50 hours = $500

To solve for \(\(x\) and \(y\)\), we can use the method of substitution or elimination. hus, we have successfully put the first equation in the required form. Now we need to solve this system of equations to find the value of x. Substituting the value of 2x from equation

Given equations:

Equation \((1): \(2x = 3y + 4\)\)

Let's solve it using the substitution method:

From equation (1), we can express \(x\) in terms of \(y\):

\(\(2x = 3y + 4\)\)

Dividing both sides by 2, we get:

\(\(x = \frac{3}{2}y + 2\)\)

Now, substitute this value of \(x\) into equation (2):

\(\(5x - 6y = -1\)\)

\(\(5\left(\frac{3}{2}y + 2\right) - 6y = -1\)\)

Simplifying the equation:

\(\(\frac{15}{2}y + 10 - 6y = -1\)\)

Combine like terms:

\(\(\frac{3}{2}y + 10 = -1\)\)

Subtract 10 from both sides:

\(\(\frac{3}{2}y = -11\)\)

Substitute the value of \(y\) back into equation (1):

\(\(2x = 3\left(-\frac{22}{3}\right) + 4\)\)

Therefore, the correct solution to the given system of equations is:

\(\(x = -20\) and \(y = -\frac{22}{3}\).\).

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The linear function decreases when x is between –6 and 0.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+2. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=2.

A function can be classified as:

From the graph is possible to see that the function decreases when x is between –6 and 0 because the values of y decrease with the increasing of x-values.

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Answer:

B

Step-by-step explanation:

Fraction subtraction:

 \(\sf 6 \dfrac{3}{5}-(-2\dfrac{1}{5})=6\dfrac{3}{5}+2\dfrac{1}{5}\)

Convert mixed fraction to improper fraction,

                    \(\sf = \dfrac{33}{5}+\dfrac{11}{5}\)

Now, add.

                  \(\sf = \dfrac{33+11}{5}\\\\=\dfrac{44}{5}\)

Covert improper fraction to mixed fraction.

                  \(\sf = 8\dfrac{4}{5}\)

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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The percentage of the cases in a normal distribution falls between 35 and 45 is  0.6826. ii)  If you go out 3 standard deviations from the mean on both sides you capture is 0.9974.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

A Gaussian distribution or probability bell curve are other names for the normal distribution. Since it is symmetric about the mean, it shows that values close to the mean happen more frequently than those distant from the mean.

P[35 < x < 45]

= p [ 35 - 40/5 < x - 40 / 5 < 45 - 205]

Using the z-table we have:

= 2(0.8413 - 1)

= 0.6826

For 3 standard deviations from mean:

P [-35 < x - m < 35]

= P[-3 < x - m / SD < 3]

Using the z-table:

P[-3 < x - m / SD < 3] = 2(0.9987) - 1

= 0.9974

Hence, the percentage of the cases in a normal distribution falls between 35 and 45 is  0.6826. ii)  If you go out 3 standard deviations from the mean on both sides of a normal distribution percentage of the cases will you capture is 0.9974.

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m∠ AEM = 20°

From the given figure, we can see that m∠ AEM is alternate to m∠ ACE

Note that m∠ ACE = 20°

Alternate angles are equal.

If m∠ ACE is alternate to m∠ AEM

Then, m∠ AEM = 20°

Hence, m∠ AEM = 20°

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Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

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Answer:

B. 875

Step-by-step explanation:

Hope this helped

Answer:

3421

Step-by-step explanation:

3421 the order the tiles are in

Answer:

Step-by-step explanation:

\(\text{The volume of a cylinder is}\\ \\ V=h\pi r^2,\ r=16/2=8,/ h=21\\ \\ V=21\pi (8^2)\\ \\ V=1344\pi\)

Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

The AB latch is a digital circuit that has a state table and characteristic equation of Q = AB. It can be constructed using four two-input NAND gates and two inverters, where the output of the fourth NAND gate provides the signal Q'.

(a)

State Table:

A B Q

0 0 0

0 1 0

1 0 0

1 1 1

Characteristic Equation: Q = AB

(b)

(c) No, there are no transitions between input combinations that might cause unreliable operation.

(d) Yes, the output of the fourth NAND gate provides the signal Q'.

(e)

(f ) No, there are no transitions between input combinations that might cause unreliable operation. Yes, the output of the fourth NOR gate provides the signal Q'.

The AB latch is a digital circuit that has a state table and characteristic equation of Q = AB. It can be constructed using four two-input NAND gates and two inverters, where the output of the fourth NAND gate provides the signal Q'. Alternatively, it can also be constructed using four two-input NOR gates and two inverters, where the output of the fourth NOR gate provides the signal Q'. In both circuits, there are no transitions between input combinations that might cause unreliable operation.

The complete question us:

An AB latch operates as follows: If A = 0 and B = 0, the latch state is Q = 0; if either A = 1 or B = 1 (but not both), the latch output does not change; and when both A = 1 and B = 1, the latch state is Q = 1. (a) Construct the state table and derive the characteristic equation for this AB latch. (b) Derive a circuit for the AB latch that has four two-input NAND gates and two inverters. (c) In your circuit of part (b), are there any transitions between input combinations that might cause unreliable operation? Verify your answer. (d) In your circuit of part (b), is there a gate output that provides the signal Q′? Verify your answer. (e) Derive a circuit for the AB latch using four two-input NOR gates and two inverters. (f ) Answer parts (c) and (d) for your circuit of part (e).

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The coordinates of A are (3, 5).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, M (4,6) is the midpoint of AB and B is (5,7)

Let the coordinates of A be (x2, y2)

Therefore,

x1 = 5, y1 = 7

x = 4, y = 6

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

4 = (5 + x2)/2

4 × 2 = 5 + x2

8 = 5 + x2

5 + x2 = 8

x2 = 8 - 5

x2 = 3

and 6 = (7 + y2)/2

6 × 2 = 7 + y2

12 = 7 + y2

7 + y2 = 12

y2 = 12 - 7

y2 = 5

Thus, the coordinates of A are (3, 5).

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Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

6. Answer:

72.84

Step-by-step explanation:

To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle

12 + 15 + 15 = 42

The diameter of the semi circle is 12

πr + d = 6 * π + 12 ≈ 30.84

Add them together

42 + 30.85 = 72.84

7. Answer:

78.54

(78.5)

Step-by-step explanation:

The shape is a circle

Radius is 5

Diameter is 10  (diameter is always double of the radius)

π * r^2 = π * 25 cm^2 = 78.54 cm^2

8. Answer:

50.27

Step-by-step explanation:

The shape is a circle

Radius is 4

Diameter is 8  (diameter is always double of the radius)

π * r^2 = π * 16 ft^2 = 50.27 ft^2

(16 = 8 * 2)

Fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.

As given in the question,

Length of fabric bought by Paul to make his shirt = 1 7/8 m

Length of fabric bought by Rita to make his shirt = 1 3/4 m

Convert length of fabric into proper fraction

Paul fabric = 1 7/8 m

                 = 15 /8 m

Rita fabric = 1 3/4 m

                = 7 /4 m

Length of Paul fabric more than Rita

Length of more fabric bought by Paul than Rita = (15 /8) - ( 7/4)

                                                                          = (15/8) - (14/8)

                                                                          = 1/8 m

Therefore, fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.

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The equation of sphere is x² + 10x + y² - 4y + z² - 12z + 41 = 81.

The collection of all points that are distanced from the centre by a certain amount, or radius, is referred to as a sphere in three dimensions. The shape of a sphere is spherical and symmetrical.

The distances between each surface point and the centre are equal throughout the three dimensions of the solid. It has a surface area and a volume based on its radius. The formula for a sphere's volume is V = 4/3 r3, where r is the radius and V is its volume. Half of a sphere's diameter makes up its radius.

The equation of a sphere with center (x0, y0, z0) and radius r is given by:

(x - x0)² + (y - y0)² + (z - z0)² = r²

So, for a sphere with center (-5, 2, 6) and radius 9, the equation would be:

(x + 5)² + (y - 2)² + (z - 6)² = 9²

which simplifies to:

x² + 10x + y² - 4y + z² - 12z + 41 = 81.

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An inverse relationship in math is a relationship between two quantities where one quantity increases as the other decreases and vice versa.

An example of an inverse relationship is the relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.

The relationship between temperature in degrees Celsius (C) and temperature in degrees Fahrenheit (F) is defined by the following equation:

F = (9/5)C + 32

This equation shows that as the temperature in degrees Celsius increases, the temperature in degrees Fahrenheit decreases. For example, if the temperature in degrees Celsius is 20, the temperature in degrees Fahrenheit is 68. If the temperature in degrees Celsius is 40, the temperature in degrees Fahrenheit is 104.

Therefore, the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit is an inverse relationship.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

1. 9x² + 3x - 4 = 0

Step 02:

Discriminant:

D = b² - 4ac

9x² + 3x - 4 = 0

a = 9

b = 3

c = - 4

D = (3)² - 4(9)(-4) = 9 + 144 = 153

The answer is:

D = 153

Answer:

(a) 7 : 5

(b) 19 : 5

Hope this helps :)

Answer:

(a) 5:7 ( 5 new to 7 used). (B) 12:7   (12 books to 7 used ones). You are welcome :)

Step-by-step explanation:

Answer:

The solution of the equation is:

Step-by-step explanation:

To solve the equation:

First, you must add the terms 3x/5 and 5:

Now, you pass the number that is dividing (5), to multiply to the other side of the equality and operate:

Next, you pass the number that is adding (25), to subtract to the other side of the equality and operate:

At last, you pass the number that is multiplying the unknown variable, to divide to the other side of the equality and operate:

If we use this value in the original equation, we can prove if it's the correct:

As you can see, the result x = 25 is the correct.

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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