Given that

Answer:

The answer is A.

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

A.2

Step-by-step explanation:

because 7.21 is twice the number 3.605

Answer: D) cube root of 16

================================================

Explanation:

The rule we use is

\(x^{m/n} = \sqrt[n]{x^m}\)

In this case, x = 4, m = 2 and n = 3.

So,

\(x^{m/n} = \sqrt[n]{x^m}\\\\\\4^{2/3} = \sqrt[3]{4^2}\\\\\\4^{2/3} = \sqrt[3]{16}\\\\\\\)

Showing that the original expression turns into the cube root of 16.

Answer:

\(15 \geqslant - 3x \\ \frac{15}{3} \geqslant - x \\ 5 \geqslant - x \\ - 5 \leqslant x\)

\( \frac{2}{5}x \geqslant - 2 \\ x \geqslant - 2 \times \frac{5}{2} \\ x \geqslant - 5\)

Answer:

{x | x ≥ -5}

Step-by-step explanation:

Answer:

0.4 %

Step-by-step explanation:

Given:

Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%

= 1/250 × 100%

= 0.004 × 100%

= 0.4 %

Answer:

0.4%

explanation:

solve:

\(\sf \dfrac{1}{250} * 100\)

0.4%

Answer:

D + 50 - 20 = 70

D = 70

Step-by-step explanation:

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

Step-by-step explanation:

49255-1674.67=47580.33

Answer:

the answer are Macheda by colors

Answer:

rational

Step-by-step explanation:

Answer:

the answer is 2.88 ok it should do in calculator

The value of the car 4 years after it was purchased is  $16,270.86.

Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.

The equation that would be used to determine the value of car with the passage of time would be an exponential equation.

Value of the car after t years = \(p(1 -r)^{\frac{t}{3}\)

Where:

Value of the car after 4 years  = \(41,000(1 -0.5)^{\frac{4}{3}\) = $16,270.86

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Answer:

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Step-by-step explanation:

Step:1

Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.

Given that the sample proportion

                      \(p^{-} = \frac{131}{252} = 0.5198\)

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step:2

95% confidence interval for the proportion of days that IBM stock increases.

\((p^{-} - Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} + Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } )\)

\((0.5198 - 1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} } , 0.5198 +1.96(\sqrt{\frac{0.5198(1-0.5198)}{252} })\)

(0.5198 -  0.06166 , 0.5198+0.06166)

(0.45814 , 0.58146)

Final answer:-

95% confidence interval for the proportion of days that IBM stock increases.

(0.45814 , 0.58146)

Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

−

2

=

2

=

4

=

4

=

Step-by-step explanation:

The domain of the function is real numbers and range is from -2 to +2.

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The domain takes all of the potential input values from the set of real numbers, while the range takes all of the function's output values.

The domain is the x values operate, often known as the horizontal axis.

Here we have the parabola function x².

Then, the domain of all parabolic functions is all real numbers.

The Range is y values on the vertical axis.

As, from the graph there is no point below 2 .

Then, the range of the function is from -2 to +2.

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Answer:

(See explanation below for further details).

Step-by-step explanation:

The procedure for plotting each line consists in creating a table with at least two different points, given that Euclidean Geometry states that any line can be created with only two points,  and plotting the lines with the help of graphing tools:

(a) \(y = \frac{2}{3}\cdot x - 5\)

(i) Table of values

       x              y

      -2         -6.333

      -1          -5.667

       0             -5

       1          -4.333  

       2         -3.667      

(ii) Plotting the line

The line is presented below in the attachment "line_1".

(b) \(6\cdot x - 2\cdot y + 5 = 0\)

\(2\cdot y = 6\cdot x +5\)

\(y = 3\cdot x +\frac{5}{2}\)

(i) Table of values

       x              y

      -2           -3.5

      -1            -0.5

       0            2.5

       1             5.5  

       2            8.5    

(ii) Plotting the line

The line is presented below in the attachment "line_2".

Answer:

Check pdf

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

answer is here!

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Step-by-step explanation:

Hope this is what you need

a)

b)

c)

d)

{y:y is an integer AND y>10} is a set of integers that are greater than 10. Some examples of elements that would be included in this set are 11, 12, 13, 14, and so on.

Answer:

I believe the correct answer would be the last one.

Step-by-step explanation:

The units are supposed to be blocked by gender. However, the first two units in the final option are blocked with two females in one group, and two males in the next. This is inconsistent with the blocking method used for the rest of the units.

The randomized block design is adopted to minimize the risk of systematic error in an experiment. The incorrect assignment of treatment is ;

Since the units are blocked by gender, then each of the treatment groups should include atleast one of each gender.

For all the assignments given, only the last assignment include groups which contain only one of the gender ; (1f, 2f), B: (1m, 2m),

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Part A: what tool can help Jada find possible dimensions for the base of the block? Explain.

     I am not sure what a "tool" is by their wording, but we can use the formula for volume to solve for the base.

-> B is the base, length times width, and H is the height

V = B * H

350 in³ = B * 5 in

70 in² = B

  Answer: The base will be 70 in²

Part B: Give one pair of possible whole-number dimensions for the base.

     Since we know the base will be 70 in², we can find a possible pair of whole-number dimensions for the base.

B = L * W

70 in² = L * W

     Now we just need to find pairs of whole numbers that multiply to 70:

70 / 2 = 35

  Answer: A possible pair of whole-number dimensions for the base is 2 and 35.

Answer:

Step-by-step explanation:

There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.

One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:

13/5 = 39/a

OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:

13/39 = 5/a

Amazingly, these equations will give you the same answer.

13a = 39*5

13a = 195

13a/13 = 195/13

a = 15

You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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