Which of the following best describes the cross-section which is formed by a horizontal plane
parallel to the base? Note that the figure is not drawn to scale.

O The cross-section is a rectangle with the same length and width as the base.

O The cross-section is a rectangle with a different length and width as the base.

O The cross-section is a square with the same length and width as the base.

O The cross-section is a square with a different length and width as the base.

Answer:

b = 10

b = 17

Step-by-step explanation:

Hello!

Usually, when you want two different integer solutions, you probably want the quadratic to be factorable.

So what we want to know is that b should be the sum of the factors in 16.

Factors of 16: 1, 2, 4, 8, 16

Factor pairs:

Factor Sums:

These are our possible b-values.

Check:

Let's try 17 first:

Now 10:

And finally, 8:

Since x = 4 is a repetitive integer, we cannot use 8 as a value for b.

The answers are b = 10, and b = 17.

Answer:

-96

Step-by-step explanation:

multiply both sides by 16

The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.

For the given question;

Thus, the probability that exactly four of the selected is defective.

P = ⁴C₄  / ¹⁰C₃

P = 1/120

Thus, the probability that exactly four of the selected is defective is 1/120.

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Answer:

Certain.

Step-by-step explanation:

When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.

Hope this helps!

Answer:

certain

Step-by-step explanation:

since the outcome is a 100% the answer is certain

If a company’s stock was selling at $25 a share. A month later it was selling at $30 a share then percent gain is 20%.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%". For example, if 30 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 30%. In other words, 30% means 30 out of 100, or 0.3 as a decimal

To calculate the percent gain, we first need to determine the difference between the two prices, which is:

$30 - $25 = $5

Then, we can calculate the percent gain by dividing the difference by the original price and multiplying by 100:

($5 / $25) x 100% = 20%

Therefore, the percent gain is 20%.

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Answer: 30

Step-by-step explanation:

Simple formula is

LCM*GCF=PRODUCT OF 2 NUMBERS

120 * 10 = 40 * x

1200 = 40x

x = 1200/40

x = 30

1. The equation of the perpendicular line is: y = -x + 4

2. The equation of the parallel line is: y = -x + 4

The equations of two lines that are parallel to each other will have the slope (m), while the equations of two lines that are perpendicular to each other will have slope values that are negative reciprocals of each other.

The slope-intercept form for the equation of a line is, y = mx + b, where b is the y-intercept and m is the slope of the line.

1. The slope (m) of y = x - 4 is 1. The line that is perpendicular to y = x - 4 would have a slope (m) of -1.

Substitute (a, b) = (1, 3) and m = -1 into y - b = m(x - a):

y - 3 = -1(x - 1)

Rewrite in slope-intercept form:

y - 3 = -x + 1

y = -x + 1 + 3

y = -x + 4

2. The slope (m) of y = -x - 4 is -1. The line that is parallel to y = -x - 4 would have a slope (m) of -1.

Substitute (a, b) = (3, 1) and m = -1 into y - b = m(x - a):

y - 1 = -1(x - 3)

Rewrite in slope-intercept form:

y - 1 = -x + 3

y = -x + 3 + 1

y = -x + 4

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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

the answer is z= 39/8 .

a) To find the linear velocity of a point on the tip of one of the blades, we need to use the formula: V = 2πr/T where V is the linear velocity, r is the radius of the circle, and T is the period of rotation. In this case, the radius of the circle is the length of the propeller blades, which is 3 meters, and the period of rotation is the inverse of the frequency of rotation, which is 1/6 minutes. Plugging in the values, we get: V = 2π(3)/(1/6) = 36π meters per minute. To the nearest meter per minute, the linear velocity is approximately 113 meters per minute.

b) To find the arc length and the area of the circular sector, we need to use the formulas: Arc length = θr and Area = (θr^2)/2 where θ is the central angle in radians, and r is the radius of the circle. In this case, the central angle is 25 degrees, which is equivalent to (25π)/180 radians, and the radius of the circle is 12 cm. Plugging in the values, we get: Arc length = ((25π)/180)(12) = (5π)/3 cm and Area = (((25π)/180)(12^2))/2 = (25π)/3 cm^2. Therefore, the arc length is approximately 5.24 cm and the area is approximately 26.18 cm^2.

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Answer:

Step-by-step explanation:

10/3 = 7/x

10 : 3 = 7 : x

x = 3 x 7 : 10

x = 21 : 10

x = 2.1 or 21/10

-------------------------------

check

10 : 3 = 7 : 2.1

3.33 = 3.33

same value the answer is good

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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Answer:

516 square meters

Step-by-step explanation:

If the length is 24 meters and the width is 21.5 meters, we just multiply them to get 516 square meters. (I used calculator to double check)

The mean is mathematically given as given as

Mean = 43 minutes

Mean = $47

This is further explained below.

Generally, Cell phone usage Mon to Sun = 38, 62, 40, 10, 30, 55, 65

Mean = (38+62+40+10+30+ 55 + 65)/7

Mean = 43 minutes rounded

Water bills  Mean from Jan to Dec =

40+42+40+38+48+50+58+62+56+46+44+44=568

Mean = (568)/12

Mean = $47 rounded

In conclusion, the mean is

Mean = $47

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Mathematical expressions known as linear inequalities compare two expressions and used the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.

Expressions that compare two linear expressions using inequality symbols are referred to as linear inequalities.

When resolving multi-step linear inequalities, we must follow the laws of inequality.

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The partial fraction decomposition of the expression `x/(x^4 + x²)` is given by :`x/(x^4 + x²)` can be expressed as `(A/x) + (B/x^3) + (Cx+D)/(x^2+1)`.

Let's first factorize the denominator :`x/(x^4 + x²) = x/(x^2(x^2 + 1))`We can simplify the fraction above by writing it in the form of partial fraction decomposition.

This is done as follows:Let `x/(x^2(x^2+1)) = A/x + B/x^3 + (Cx+D)/(x^2+1)`

Multiply the entire equation by the common denominator `(x^2(x^2+1))` we have:x = A(x^2+1) + Bx(x^2+1) + (Cx+D)x^2 Simplifying the above equation further we have: x = A(x^2+1) + Bx(x^2+1) + Cx^3 + Dx^2 Gathering the x^3 terms on one side and the x^2 terms on the other side and factoring out the x,

we have: x [1 - B(x^2+1)] = Ax^2 + Cx^3 + Dx^2

On equating the coefficients of x^2, x^3 and the constant terms on both sides we have: For the x^2 term : 0 = A, which means that A = 0For the x term : 1 = 0 + 0 + D, which means that D = 1 For the x^3 term : 0 = C, which means that C = 0

Therefore, the partial fraction decomposition of the expression `x/(x^4 + x²)` is given by :`x/(x^4 + x²)` can be expressed as `(A/x) + (B/x^3) + (Cx+D)/(x^2+1)`.Substituting the value of A, B, C and D, we get:`x/(x^4 + x²) = 0 + 0 + (x)/(x^2+1)`Thus, `(x)/(x^4 + x²)` can be simplified into `(x)/(x^4 + x²) = (x)/(x^2+1)`

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Answer:

ano pong lesson yan.paki comment nalang po.

Answer:

2, -7, 3 are your answers! :).

Step-by-step explanation:

The opposite of a positive would be it's negative form, and the opposite of a negative would be it's positive form.

Answer:

8

Step-by-step explanation:

The expression we have is:

Since this is a quadratic equation, is the equation of a parabola in standard form:

In this case, comparing the general form and the equation we have:

We will define the vertex of the parabola as (h,k). And the general vertex form is:

Where h is defined as follows:

We already know b and a, so we substitute them to find h:

Now we only need to find k, which is defined as the value of the function when x=h:

So we find f(h) by substituting h=7 into the original expression:

Solving the operations to find k:

Now that we have h and k, we go back to the general vertex form:

And substitute a=-2, h=7 and k=-1:

Answer:

Answer:

The percent decrease is 20%

Step-by-step explanation:

\(5 \times \frac{20}{100 } \)

\( = 1\)

\(5 - 1 \\ = 4\)

Answer:

the percent decrease is 20%

Step-by-step explanation:

the

Answer:

The answer is:

\(Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\\)

Step-by-step explanation:

All vertices of its quadrilateral were co-ordinated;  

\(T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)\) Therefore, we first undertake the operation correct: \(T(2, 0) \ QRST\), there;

\(T(2, 0) \ QRST\) \(\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)\)

\(T(2, 0) \ QRST\)\(\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)\)

A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y)  and we've got it;  

R y-axis \((T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)\)From which we get \((Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).\)

Equivalent ways for chi-square statistic are: variables relationship is not statistically significant, insufficient evidence to suggest association, and observed relationship might be due to chance.

If the chi-square statistic is less than 3.84 and the p-value is greater than 0.05, then there is insufficient evidence to support the existence of a significant relationship in the population. This means that we cannot confidently conclude that the variables are related.

If the chi-square statistic is less than 3.84 and the p-value is greater than 0.05, there isn't enough evidence to conclude that the relationship in the population is real. Equivalent ways to state this result are:

1. The relationship between the variables is not statistically significant.
2. There is insufficient evidence to suggest a significant association between the variables.
3. The observed relationship may be due to chance and cannot be considered a true relationship in the population.

Remember, this conclusion is based on the chi-square statistic and p-value, which help determine if there's a significant relationship between variables in a population.

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Answer:

Step-by-step explanation:

2n-1=18n

18n-2n=16m

-1/16=16n

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

the answer for your question is "It's a cuboid"

Answer: Rectangular Prism

Step-by-step explanation:

Rectangular faces ✔️

8 vertices (4 on each side) ✔️

Solid figure ✔️