Fatoumata has a collection of 280 coins. How many coins represent 20% of her
collection?
Divide/scale down to solve for the missing percent.

Answer:

The coordinates of the point Q is (4, 1)

Step-by-step explanation:

The given parameters are;

The directed line segment  extends from R(-2, 4), to S(18, -6)

The ratio in which the point Q partitions the directed line segment = 3:7

Therefore, the proportions of the R to Q = 3/(3 + 7) = 3/10 the length of RS

Which gives;

(-2 + (18-(-2))×3/10,  4 +(-6 -4)×3/10) which is (4, 1)

The coordinates of the point Q = (4, 1)

We check the length from R to S is given by the relation for length as follows

\(l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

R(-2, 4) = (x₁, y₁)

S(18, -6) = (x₂, y₂)

Length of segment RS  = 22.36

length from R to Q = 6.7086

We check RQ/RS = 6.7082/22.36 = 0.3

Also QS/RS = (22.36 - 6.7082)/22.36 = 0.6999≈ 0.7

The coordinates of the point Q = (4, 1).

The amount withdrawn at the end of the 2 years is given as follows:

$7,280.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The parameter values for this problem are given as follows:

P = 7000, r = 0.02, t = 2.

Hence the balance of the account at the end of the two years, representing the amount withdrawn, is given as follows:

A(2) = 7000 x (1 + 0.02 x 2)

A(2) = $7,280.

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Answer:

The second choice; KJL and HGJ

Step-by-step explanation:

These 2 angles are corresponding angles

Answer:

$15.19

Step-by-step explanation:

Step 1:

0.085 × $14 = $1.19

Step 2:

$14 + $1.19

Answer:

$15.19

Hope This Helps :)

15.19 the first person was right

The equilibrium wage rate as a function of labor demand N is w = z, and the firm's profit π = 0.

a. To find the equilibrium wage as a function of labor demand N, we need to maximize the profit of the firm while taking into account the utility function of the consumer.

The firm's profit function is given by π = zN - wN, where w represents the wage rate.

To maximize the firm's profit, we take the derivative of the profit function with respect to N and set it equal to zero:

dπ/dN = z - w = 0

This implies that the equilibrium wage rate w is equal to z.

Therefore, the equilibrium wage as a function of labor demand N is simply w = z.

b. The firm's profit π is given by π = zN - wN, where w represents the wage rate. In this case, we have already established that the equilibrium wage rate is w = z.

Substituting w = z into the profit function, we have:

π = zN - zN = 0

Therefore, the firm's profit π is zero.

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Answer:

0.47..................

Step-by-step explanation:

..........

Answer:

Last option, t=S/5r^2

Step-by-step explanation:

\(S=5r^2t\\\frac{S}{5} =r^2t\\\frac{S}{5r^2} =t\)

Answer:

\(\frac{85}{800}\) or \(\frac{17}{160}\) simplified

Step-by-step explanation:

In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.

If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...

\(\frac{5 *17}{40 * 20}\) = \(\frac{85}{800}\) or \(\frac{17}{160}\) simplified

For D:

A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.

For E:

We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.

For G:

Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.

For H:

The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.

Answer:

d) x = 60

e) m = 60

g) q = 75

h) m = 75

Step-by-step explanation:

d) This image is that of an equilateral triangle, or a triangle whose sides are all equal (also known as a regular triangle). One property of an equilateral triangle is that all of its angles are also equal. Because the angles of a triangle add up to 180° (Triangle Sum Theorem), each angle would be 180/3°, or 60°, so x = 60.

e) This problem shows two complementary angles. Complementary angles are two angles that add up to 90°. Because one of the angles is given, you can find the other by subtracting the given one from 90°:

   m = 90 - 30

   m = 60

g) This is an image of a triangle with two given angles and the missing one is the third angle, q. You can solve for q using the Triangle Sum Theorem, which states that the three interior angles of a triangle add to 180°:

   50 + 55 + q = 180

   105 + q = 180

   q = 75

h) This image shows two parallel lines cut by a transversal. You can find m using the Corresponding Angles Theorem, which states that if parallel lines are cut by a transversal, the corresponding angles will be congruent. Because the lines are parallel, you know that m = 75 since the 75° angle is its corresponding angle.

Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Answer:

A.4^6/5^6

Step-by-step explanation:

The answer is A.

The reason for this answer equaling to the fraction given is that when solving a fraction in parenthesis raised to a power, the first step to solving it is distributing the power to both parts of the fraction.

To solve this fraction, follow these steps:

Step 1:

(4/5)^6

Step 2:

Distribute the power to both part of the fraction.

4^6/5^6 (compare the answer choice A. to step 2).

Step 3:

4096/15625

Step 4:

4096/15625≈0.26 (The wavy equal sign means approximately equal to).

Hope this helps!

Answer:

1800 (packages )muffins

Step-by-step explanation:

360  muffins         x muffins

--------                 =    --------

12 min                       60 min

Answer:

1800 maybe

Step-by-step explanation:

in 12 minutes can wrap 360

in 1 hr have 60 minutes

60/12=5

than 360*5 = 1800

The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

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Answer:

1. $161.50

2. $68.04

Step-by-step explanation:

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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Answer:

sure

Step-by-step explanation:

Area of the base 'B' of a given rectangular prism is equal to 12 ft².

As given in the question,

For the given rectangular prism ,

Shape of the base is rectangle,

Length of the base of a rectangular prism = 4 ft

Width of the base of a rectangular prism = 3ft

Area of the base of a rectangular prism is given by

= ( length of the base ) × ( Width of the base)

Substitute the value of length and width of the base of the rectangular prism we get,

= ( 4 × 3 ) ft²

= 12 ft²

Therefore, area of the base 'B' of given rectangular prism is equal to 12 ft².

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Answer:

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Probability box opened is glue = number of boxes that contain glue / total number of boxes

6/20

To transform to the simplest form. divide both the numerator and the denominator by 2

3/10

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

a fork

Step-by-step explanation:

Answer:

your right elbow

Step-by-step explanation:

Answer:

20/6 = 3.33

20 - 6 = 14

The correct trigonometric, notation for z = 1+2i is √5 (cos 63.4° + i sin 63.4°).

The complex number z can be written in trigonometric form as z = r(cos θ + i sin θ), where r represents the magnitude of z and θ represents the argument (or phase) of z.

In this case, the magnitude of z is √(1² + 2²) = √5.

To find the argument θ, we can use the inverse tangent function:

θ = arctan(2/1) = 63.4°.

Therefore, the trigonometric notation for z is √5 (cos 63.4° + i sin 63.4°).

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Answer:

1.  x =-2, y=6

2. x = 0, y = 0

3. x=2, y=10

Step-by-step explanation:

It will take a long time to explain. If you need explanation, tell me.

Answer:

a rational number

Step-by-step explanation:

The 95% upper bound represents the value below which 95% of the data falls. In this case, we have X ~ N(70,38), which means that X follows a normal distribution with a mean of 70 and a standard deviation of 38.

To find the 95% upper bound, we need to find the z-score associated with the 95th percentile.

The z-score can be calculated using the formula:
z = (x - μ) / σ

Where:
x is the value we want to find the z-score for,
μ is the mean of the distribution, and
σ is the standard deviation of the distribution.

In this case, we want to find the z-score corresponding to the 95th percentile, which is 1.645. However, the critical value given is 1.69, which is slightly higher than 1.645. Therefore, we will use the critical value of 1.69 instead.

Now, we can rearrange the formula to solve for x:
x = z * σ + μ

Plugging in the values, we have:
x = 1.69 * 38 + 70

Calculating this, we find that the 95% upper bound is approximately 135.1.
Therefore, we can say with 95% confidence that X will be less than approximately 135.1.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Graphically estimating the age of the fossil with 18% of the original carbon-14 content involves determining the number of half-lives that have passed.  Therefore, the fossil is estimated to be between 11400 and 17100 years old.

Since the half-life of carbon-14 is 5700 years, we can divide the remaining carbon-14 content (18%) by the initial amount (100%) to obtain 0.18. Taking the logarithm base 2 of 0.18 gives us approximately -2.5146.

In the graph, we can plot the ratio of remaining carbon-14 to the initial amount on the y-axis, and the number of half-lives on the x-axis. The value of -2.5146 lies between -2 and -3 on the x-axis, indicating that the fossil is between 2 and 3 half-lives old.

Since each half-life is 5700 years, multiplying the number of half-lives by the half-life period gives us the age estimate.

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