Pls help!!

Question:

The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.

Answer:

0.18

Step-by-step explanation:

Maths big brain

The height of the pole from the ground is 19.60 feet round to the nearest hundredth.

To find the lenght of longest side in right angle triangle, the Pythagoras theorem is used.

According to this theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.

A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.  Thus, the length of side of h by the Pythagoras theorem can be given as,

[tex]h^2=22^2-10^2\\h=\sqrt{484-100}\\h=\sqrt{384}\\h=19.60\rm\; ft[/tex]

Thus, the height of the pole from the ground is 19.60 feet round to the nearest hundredth.

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Answer:

x = 2

Step-by-step explanation:

mean = sum of data / number of data

3 = 2 + 5 + x + 2 + 4 + 3 / 6

3 = 16 + x / 6

18 = 16 + x

2 = x

The missing value of data is 2.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

We have,

Data: 2,5, X, 2, 4, 3

Mean= 3

So, Mean

3 = Sum of data/ Total number of data

3 = (2 + 5 +x + 2 + 4 +3)/ 6

18 = 16 + x

x = 18 - 16

x= 2

So, the missing value of data is 2.

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:

[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

Where [tex]h[/tex] is the difference rate.

In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:

[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]

[tex]g(x) = \cos x[/tex]

Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:

[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.

The  instantaneous rate of change is given by the following formula;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]

The given function is;

[tex]\rm f(x)=sinx[/tex]

The function is also written as;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]

Substitute the value of x in the function

[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]

Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

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Answer:

x=2

Step-by-step explanation:

The Axis of Symmetry is when a line is put where it splits the parabola in the half perfectly. The vertex is where the parabola starts. The line x=2 is when it splits it into two congruent parts.

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

So that is how it goes hope this helps

Answer: I think the answer is 25 nickels? Im sorry if I get it wrong

Step-by-step explanation:

Answer:

The angle is approximately [tex]45^\circ[/tex].

Step-by-step explanation:

We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.

Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:

[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:

[tex]\tan{\theta}=\frac{166}{167}[/tex]

To get the angle, we need to use inverse tangent:

[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]

The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.

Answer: 11 in

Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.

x^2 + x

---Both of these terms both contain an x, which means we can factor out one x.

x(x + 1)

Simplified: x(x + 1)

Hope this helps!

Answer:

4t = 6(t - 1/2)

Step-by-step explanation:

For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.

Answer:

2064.19 km^3

Step-by-step explanation:

Formula for volume of a sphere

V = 4/3 pi r^3

  = 4/3  *  3.14  * 7.9^3  =

Answer:

[tex]2064\ km^3[/tex]

Step-by-step explanation:

Volume of a Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

[tex]V=\frac{4}{3}\pi r^3[/tex]

[tex]V=\frac{4}{3}*3.14*(7.9)^3 \\\\V=\frac{4}{3}*3.14*493.039\\\\V=\frac{4}{3}*1548.142\\\\V=\frac{4}{3}*\frac{1548.142}{1}\\\\V=\frac{6192.568}{3}\\\\V=2064.18933 < == round\ to\ the\ nearest\ whole\ number\\\\V=2064\ km^3[/tex]

Therefore, the volume of the sphere is [tex]2064\ km^3[/tex]

Hope this helps!

Answer:

  a³ +b³ = (a +b)(a² -ab +b²)

Step-by-step explanation:

The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.

  a³ -b³ = (a -b)(a² +ab +b²)

  a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes

Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2

Step-by-step explanation:

every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

therefore,

angle XVY = 90°.

for VY we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).

XY = 2×ZY = 2×17 = 34.

so,

34² = 30² + VY²

VY² = 34² - 30² = 1156 - 900 = 256

VY = 16

Step-by-step explanation:

please mark me as brainlest

Answer:

a)  5, -3, -4, 0

b)  Curve B

Step-by-step explanation:

Given equation:

[tex]y=x^2-4x[/tex]

Inputting the values of x into the equation to find the missing values of y:

[tex]x=-1 \implies y=(-1)^2-4(-1)=5[/tex]

[tex]x=1 \implies y=(1)^2-4(1)=-3[/tex]

[tex]x=2 \implies y=(2)^2-4(2)=-4[/tex]

[tex]x=4 \implies y=(4)^2-4(4)=0[/tex]

[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -1 & 0 & 1 & 2 & 3 & 4 & 5\\\cline{1-8} y & 5 & 0 & -3 & -4 & -3 & 0& 5\\\cline{1-8}\end{array}[/tex]

According to the table:

Therefore, Curve B matches the graph of [tex]y=x^2-4x[/tex]

Answer: 144 cm^2

Step-by-step explanation:

i did the quiz

Answer:

144 cm²

Step-by-step explanation:

I took the K12 test

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)  Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400

Videos Incorporated Expression:

-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.

4.99 + 0.99x

Videos Plus Expression:

-> There is no membership fee, but adding to the cost is $2.99 per movie.

2.99x

Which inequality represents this situation?

-> You do not have answer options, so this is a guess.

-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus

2.99x < 4.99 + 0.99x

Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

Answer:

The answer is A

Step-by-step explanation:

The minimum is 52 and the maximum is 65 therefore B and C are false.

Data set total number is 13 D medium is 56

so A is the correct answer

Answer:

120 m²

Step-by-step explanation:

A = (1/2) · (p + q) · h
A = (1/2)(14 + 10)(10)
A = (1/2)(24)(10)
A = 120
Hope this helps :)

Answer:

parallel

Step-by-step explanation:

If the distance between two lines never changes, they are parallel lines.

Answer:

parallel

Step-by-step explanation:

parallel lines never have a distance change between them

Answer:

1.25m

Step-by-step explanation:

s=ut+1/2gt^2

Newton's second law of motion

F=ma

50x10

500N

500/50

g/a=10m/s^2

u=0m/s

s= 1/2gt^2

v=u+gt

5=0+(10t)

5=10t

t=0.5s

s=0.5×10×(0.5)^2

=1.25m

Answer:

Hope this helps!

Answer:

6 8/9 , 69/10 , 6.99 , 7.927

Step-by-step explanation:

[tex]\frac{69}{10} = 6.9[/tex]

[tex]6\frac{8}{9} = 6.8[/tex]

I really don't know I'm not big on school subjects