Factor. 14x² +9x-5 factor trinominals when a>1 and a=1

Answer:

\(-2\)

Step-by-step explanation:

\(k(x)=-2x\\k'(x)=-2\\k'(3)=-2\)

What I basically did here was take the derivative of the function to find the slope of the function at any given point. Since -2x has a slope of -2, no matter what x is, the slope will always be -2.

The height of the shorter cone is 6.81cm

A cone is hollow three-dimensional shape with side lengths that tappers from the base to a point at the vertex.

Analysis:

Let the radius of the first cone be = r

radius of shorter cone = R

height of first cone = h

height of shorter cone = H

if volume of the two cones are same

1/3π\(r^{2}\)h = 1/3π\(R^{2}\)H

\(r^{2}\)h = \(R^{2}\)H

H =  \(r^{2}\)h /  \(R^{2}\)

H = \((8.5)^{2}\)x 10 / \((10.3)^{2}\) = 6.81cm

In conclusion, the height of the shorter cone is 6.81cm

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Answer: 60 cm (centimeters) = 228 m (meters)

Step-by-step explanation:

Since the scale is 5 cm = 19 m, we first multiply the cm by the amount we have (228), divided by the denominator.

\(228*5=1140\\1140 / 19 = 60\)

The answer should be 5 cm = 19 m; 60 cm = 228 m

Hope this helps

Answer:

x ≤ 5

Step-by-step explanation:

This one is pretty easy

Answer:

The number is 270

Step-by-step explanation:

Let the number be 'x'

3/5 of x = 162

\(\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}\)

Step-by-step explanation:

Let the number be 'x'

\( \sf{ \frac{3}{5 } \: \: of \: x \: = 162}\)

⇒\( \sf{ \frac{3x}{5} = 162}\)

Apply cross product property

⇒\( \sf{3x = 162 \times 5}\)

Multiply the numbers

⇒\( \sf{3x = 810}\)

Divide both sides of the equation by 3

⇒\( \sf{ \frac{3x}{3} = \frac{810}{3} }\)

Calculate

⇒\( \sf{x = 270}\)

Hope I helped!

Best regards!!

Answer:

74 degrees

Step-by-step explanation:

Assuming we have the following

FD = 14

DE = 52

m<F = 90degrees

Required

m<D

DE = hypotenuse

FD = adjacent

Using the SOH CAH TOA identity

Cos m<D = adj/hyp

Cos m<D = 14/52

m<D = arccos(0.2692)

m<D = 74.38

m<D to the nearest degree is 74degrees

The side length AC has a measure of is (b) AC = 11.7

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the law of sines, we have

sin(43) = 8/AC

Make AC the subject of the formula

So, we have

AC = 8/sin(43)

Evaluate

AC = 11.7

Hence. the length is (b) AC = 11.7

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Answer:

Look at the rectangle as two individual right triangles, It gives the angles of two of the sides but don't worry cuz the third side will always be 90 degrees cuz duh its a right triangle  So for each triangle the angles are 60, 30, 90 (this will be of use later). We know that the Hypotenuse of each triangle is 25 feet too and we can use that to calculate the answer on a website... I did it for you..

Side A (Between angle A and B): 12.5 ft

Side B (Between angle B and C): 21.65 ft

Side C (Between angle C and A): 25 ft

Now you can use these formulas to find the Area and Perimeter.

Area for a right triangle: Base (longest side) x Height (shortest side) Divided by 2... since you are calculating two of these triangles you don't need to divide.

Perimeter of a triangle: Add the length of all of the sides but instead of doing the individual triangles, just do Side A+ Side B + Side A+ Side B (or Side A + Side B x 2).

And you will get ur answer

Hope this helps ;)

Answer:

Side B (Between angle B and C): 21.65 ft

Side C (Between angle C and A): 25 ft

Now you can use these formulas to find the Area and Perimeter.

Area for a right triangle: Base (longest side) x Height (shortest side) Divided by 2... since you are calculating two of these triangles you don't need to divide.

Perimeter of a triangle: Add the length of all of the sides but instead of doing the individual triangles, just do Side A+ Side B + Side A+ Side B (or Side A + Side B x 2).

And you will get ur answer

Step-by-step explanation:

The shortest lengths of cables AB and AC that can be used for the lift are both 5.4 kN.

To determine the shortest lengths of cables AB and AC, we need to consider the maximum tension allowed in each cable, which is 5.4 kN.

The length of a cable is not relevant in this context since we are specifically looking for the minimum tension requirement. As long as the tension in both cables does not exceed 5.4 kN, they can be considered suitable for the lift.

Therefore, the shortest lengths of cables AB and AC that can be used for the lift are both 5.4 kN. The actual physical length of the cables does not impact the answer, as long as they are capable of withstanding the maximum tension specified.

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If a is a positive integer and if the unit's digit of a2 is 9 and (a+1)2 is 4, then the unit's digit of (a+2)2 is 1.

We are given that a is a positive integer, and we need to find the unit's digit of (a+2)². To solve this problem, let's first analyze the information provided:
1. The unit's digit of a² is 9.
2. The unit's digit of (a+1)² is 4.
From the first piece of information, we can conclude that the unit's digit a must be either 3 or 7, as 3² = 9 and 7² = 49 (the unit's digit is 9).
Now, let's check the second piece of information. If the unit's digit of a is 3, then the unit's digit of (a+1) would be 4. Since 4² = 16 (unit's digit is 6), this doesn't match the given condition that the unit's digit of (a+1)² is 4.
So, the unit's digit must be 7. In this case, the unit's digit of (a+1) is 8. Since 8² = 64 (unit's digit is 4), this matches the given condition.
Now that we know the unit's digit of a is 7, let's find the unit's digit of (a+2)². If the unit's digit of a is 7, then the unit's digit of (a+2) is 9. Since 9² = 81 (unit's digit is 1), the unit's digit of (a+2)² is 1.
Therefore, the correct answer is:
A) 1

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The answer of the given question is that - odd number is A, is the hypothesis of the conditional

Example. "If it's Wednesday, then yesterday was Tuesday," is a conditional statement. Our conclusion must be drawn if today is Wednesday. The day before yesterday was Tuesday.

The proposal listed below can be used to symbolize the statement:

\(P = > Q\)(Eq. 1)

Where:

the proposition's hypothesis = P

the proposition's conclusion = Q

A binary connection, sometimes known as "If..., then.

In this instance, we outline what each proposal means:

An odd number = P

When divided by 2, it has a residual of 1 = Q

"Odd number is = A " is the conditional's hypotheses.

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Answer:

16.95%

Step-by-step explanation:

Enjoy your day !

Step-by-step explanation:

x -y = 92     x = 92+y

xy = minumum

(92+y)  * y  = minumum

y^2 + 92y  = minumum      this quadratic has a minimum at

                                               y = -b/2a =  - 92/(2*1) = - 46

x -  -46 = 92   shows x = +46         minimum is then - 2116  

The force exerted on the beam by support point 2 is approximately 186.4 N.

To solve this problem, we can use the principle of moments. The weight of the bowling ball and the mass of the beam are both forces acting on the beam. We can assume that the beam is in static equilibrium, meaning that the sum of the forces and moments acting on the beam is equal to zero.

First, we can calculate the weight of the bowling ball as 6.5 kg x 9.81 m/s^2 = 63.6 N. This weight acts downward at a distance of 2.7 m from support point 1, so it creates a clockwise moment of 63.6 N x 2.7 m = 171.7 Nm.

Next, we can calculate the moment created by the mass of the beam. We can assume that the mass is evenly distributed along the length of the beam, so the center of mass is at the midpoint of the beam, which is 1.5 m from support point 1. The mass of the beam is given as 18 kg + m kg, so we can write:

(18 kg + m kg) x 9.81 m/s^2 x 1.5 m = (18 kg + m kg) x g x 1.5 m

where g is the acceleration due to gravity (9.81 m/s^2). This moment acts counterclockwise, so it has a negative sign.

Finally, we can write the equation for static equilibrium:

ΣM = 0

where ΣM is the sum of the moments. This gives:

171.7 Nm - (18 kg + m kg) x g x 1.5 m - (m kg) x g x 0.75 m = 0

Solving for m, we get:

m = (171.7 Nm - 18 kg x g x 1.5 m) / (g x 0.75 m)

m ≈ 6.98 kg

Now that we know the mass of the beam, we can calculate the force exerted by support point 2 using the equation for static equilibrium:

ΣF = 0

where ΣF is the sum of the forces. This gives:

F2 - 63.6 N - (18 kg + 6.98 kg) x g = 0

Solving for F2, we get:

F2 ≈ 186.4 N

Therefore, the force exerted on the beam by support point 2 is approximately 186.4 N.

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The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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Overall, the graphs would differ in their rate of growth or decay and damping, with the k2 > k1 case exhibiting faster growth or decay and damping.

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operators (such as +, -, *, /) and can be solved to determine the values of the variables that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to model relationships between quantities and make predictions about their behavior. Some common types of equations include linear equations, quadratic equations, and differential equations.

Here,

The damped equation with terms e2k1t and e2k2t can be written as:

y(t) = Aeⁿ₁⁺ⁿ₂*ˣ + Beⁿ₁⁻ⁿ₂*ˣ

where A and B are constants.

The graph of this function would have an initial exponential growth or decay phase determined by the sign of (k1 + k2), followed by a damping effect determined by the sign of (k1 - k2).

If k2 > k1, then (k1 + k2) is positive, which means that the initial phase of the function would have a faster growth or decay than the case where k2 < k1. The damping effect would also be faster, since (k1 - k2) would be negative, causing the exponential terms to decay more rapidly.

In other words, if k2 > k1, the function would approach zero more quickly and the oscillations would be damped out faster compared to the case where k2 < k1. The amplitude of the oscillations would also be smaller in the k2 > k1 case.

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Answer:

1/8

Step-by-step explanation:

(2 × 1/2)³/(4 × 2) =

1³/8 =

1/8

The simplification of the expression would be; 1/8

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; used to indicate the logical syntax's order of operations and other features.

We are given the expression as; (2 × 1/2)³/(4 × 2)

Simplify the expression ;

(2 × 1/2)³/(4 × 2)

1³/8 = 1/8

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

heat, water, ice, or other agents

Step-by-step explanation:

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

what is the equation?

Step-by-step explanation:

Answer:

The answer = 9

D : 729

Step-by-step explanation:

here step-by-step is 6/2 * (1 + 2) = 9                          

Therefore, the integral (0,5) 3/2 x-6 can be interpreted as the area of the upper triangle minus the area of the lower triangle, which is (-3.75) - (-15) = 11.25.

The integral (0,5) 3/2 x-6 represents the area under the curve of the function 3/2 x-6 from x=0 to x=5. This area can be split into two triangles, one above the x-axis and one below it. The area of the lower triangle is given by 1/2 base x height, where the base is 5-0=5 and the height is the value of the function at x=0, which is -6. So the area of the lower triangle is 1/2 (5)(-6) = -15.

The area of the upper triangle is given by the same formula, where the base is still 5 but the height is now the value of the function at x=5, which is -3/2. So the area of the upper triangle is 1/2 (5)(-3/2) = -3.75.

Therefore, the integral (0,5) 3/2 x-6 can be interpreted as the area of the upper triangle minus the area of the lower triangle, which is (-3.75) - (-15) = 11.25.

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Answer:

134

Step-by-step explanation:

26% of 515

.26 x 515 = 133.9 I cannot have .9 of a person.  Round to 134

Answer:

a)  \(G(x)= \sin x + 2\)

b) The coordinates of P are

\(\displaystyle \left( \frac{3\pi}{2},1\right)\)

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

\(y = \sin x\)

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

\(\boxed{G(x)= \sin x + 2}\)

b) The coordinates of P correspond to the value of

\(x = \frac{3\pi}{2}\)

The value of G is

\(\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2\)

Since

\(\sin \frac{3\pi}{2}=-1\)

\(\displaystyle G(\frac{3\pi}{2})= -1+ 2=1\)

The coordinates of P are

\(\displaystyle \left( \frac{3\pi}{2},1\right)\)

Answer:

20

Step-by-step explanation:

It would be 20 because if you multiply 5 x 4 = 20 so the answer should be 20.

Hope that helps you.

Answer: 11 feet tall.

Step-by-step explanation: Since the tree grows 4 feet every year, after one year the tree is 9 feet. After half of another year, the tree would grow half the height (4/2), 2 feet. 9 + 2 = 11 so the tree is 11 feet tall. Consider marking this answer as brainliest if it helped you out.

Answer:

22.222222%

Step-by-step explanation:

all together the entire video is 9 min and 2 of those are the intro so 2/9 and that as a percent is the answer

Answer: 22.23% (Infinitely Long)

Step-by-step explanation:

9 = 100%

9 (100%) - 7 (77.78%) [Also Infinitely Long] = 2 (22.23%) [Infinitely Long]

There ya go. :)

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

The equation represents the parabola is x² = 6y.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

The general equation of a parabola is given by y = a(x – h)² + k

We have equations.

The graph's parabola is a vertical parabola that is open vertically and has its vertex at the origin.

So, the equation of the parabola is equal to

x² = 4ay...............(1)

and, the equation of the directrix is y= -a.

her, the directrix is y= -1.5

Now, the equation for the parabola is

x² = 4(1.5)y

x² = 6y

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