Si: P(x+2)=2(x+2)^3 + x^2+4x +4 : Calcular P(3)

Answer:

3.92*10^3mm

Step-by-step explanation:

In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.

Answer:

3919 mm

Step-by-step explanation:

Length of hypotenuse = 7900 - 900 = 7000 mm

Base = 5800 mm

Let the height of the triangle be h mm

Therefore, by Pythagoras theorem:

\( h = \sqrt{7000^2 - 5800^2} \)

\( h = \sqrt{49000000- 33,640,000} \)

\( h = \sqrt{15,360,000} \)

\( h = 3,919.18359\: mm\)

\( h = 3,919\: mm\)

Answer:

$11.50 is being split among the 8 friends

Step-by-step explanation:

76 + 16 = 92

92/8 = 11.5

Answer:

A and C

Step-by-step explanation:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

Answer:

a) y > 14

Step-by-step explanation:

To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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If fx = x-4/x^2+13x+36, then the math expression f(x) is increasing for all x > –4 is true.

A mathematical expression is a sentence that combines numbers, variables, and operators to indicate the value of a factor. An equation is a mathematical expression in which two expressions are made equal.

So arrive at the above-stated conclusion:

First, we simplify the expression of the given function:
f (x) = (x - 4) /(x² + 13x +36)

Expand the denominator to get:

f (x) = (x - 4) /(x² + 9x + 4x +36)


Factorize the denominator to achieve:
f (x) = (x - 4) / [x(x + 4) + 9( x+4)

f(x) = (x - 4) / [(x + 9)(x+4)

In this simplified state, it is easy to determine that:

f(x) is increasing for all x > –4

For example
If x = 0 which is > -4, then

f(x) = (0 - 4) / [(0 + 9)(0+4)

= -4/(9*4)

= - 1.11

Where x = 5

f(x) = (5- 4) / [(15+ 9)(5+4)

= 1/216

= 0.0046

Notice that the results are no longer negative hence,

f(x) is increasing for all x > –4

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The quarter spinner represents the theoretical likelihood that you would correctly predict each question's response   1/256

What is probability ?

A probability is only valid between 0 and 1, and it can also be stated as a percentage. A popular approach to describe the likelihood that AAA will occur is P(A)P(A)P, left parenthesis, A, right parenthesis. If P(A) > P(B)P(A) > P(B)P(A) > P(B)P(A) > P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P(A)> P(B)P, left parenthesis, A, right parenthesis, is greater than P, left parenthesis, B, right parenthesis.

given

the likelihood that at least three questions must be answered correctly in order to pass the test is 4 * 4 * 4 * 4 = 256.

at least three inquiries = 1,

thus that's 1/256

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Answer:

quartered spinner

4

1/256

Step-by-step explanation:

Answer:

so the answer is 0.2

1/5 = 0.2

solution:

3x-2y=1 , -9x-6y=-3.

solution system can be represent in (13,0) ( 1 3 , 0 ).

Answer:

The solution is False because there is no solution to the equation

Step-by-step explanation:

(21-3)×(7+12)= (12-4)

First, remove the brackets

18×19=8

Then, Multiply

342=8

SOLUTION is False

You should perform the operation with the help of PEMDAS.

You have taken the wrong expression.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

(21 – 3) x (7 + 2) = (12 - 4)

First, we solve the brackets,

18 x 9 = 8

Now, multiplication,

162 = 8

This gives us a contradiction.

That means, the expression is wrong.

Therefore, the expression is wrong.

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Point t is at (−2, 5). The coordinates of point t' after a reflection across x = 0 and then y = 0 is (2, -5).

When the given point t (-2, 5) reflects across the y-axis where x = 0,  the y-coordinate remains the same, but the x-coordinate is changed to the additive inverse.

The reflection of t (-2 , 5) is t'(2, 5) on x = 0.

Now, the reflection of the point t on y = 0 on the x-axis changes the sign of the y-coordinate and retains the same x-coordinate.

The reflection of t (2 , 5) is t' (2, -5) on y = 0.

Therefore, the coordinates of point t' after a reflection across x = 0 is (2, 5). And, then after the reflection across y = 0 is (2, -5).

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Answer:

5x-4x=-1+7

X=6

Step-by-step explanation:

Answer: the correct graph is the one that shows a horizontal segment, followed by a positive slope segment, followed by a flat segment, and then a negative slope segment that is option c.

What is graph?

In mathematics, a graph is a visual representation of a set of objects and the connections between them. The objects, which are often called vertices or nodes, are typically represented by points or circles on the graph. The connections between the objects, which are often called edges or arcs, are typically represented by lines or curves connecting the points or circles.

Here,

To represent Marie's situation in a graph, we need to plot her golf cart's distance from the first hole over time. Let's analyze the given information to determine what the graph should look like.

For the first 30 minutes, Marie stayed at the first hole, so her distance from the first hole would be 0 during that time.

For the next 2 hours, Marie drove away from the first hole. Her distance from the first hole would increase during this time.

After 2 hours of driving, Marie stopped for lunch. Her distance from the first hole would remain constant during this time.

After lunch, Marie took 2 more hours to drive back to the first hole. Her distance from the first hole would decrease during this time.

The x-axis represents time in hours, and the y-axis represents distance from the first hole in miles. The graph starts at the origin, where the golf cart stays for the first 30 minutes, and then goes up with a positive slope for 2 hours as the golf cart moves away from the first hole. Then, the graph remains flat for 1 hour during lunch, before going down with a negative slope for 2 hours as the golf cart returns to the first hole.

As a result, the right graph is option c, which displays a horizontal section followed by a positive slope segment, a flat segment, and then a negative slope segment.

Step-by-step explanation:

Yolanda used 105 pounds of type A coffee in the blend, by using algebraic equation.

Let's assume the number of pounds of type A coffee used in the blend is denoted by 'x'. Since the total weight of the blend is given as 167 pounds, the weight of type B coffee used can be expressed as 167 - x.

The cost of type A coffee is $4.55 per pound, so the cost of the type A coffee used in the blend is 4.55x dollars. Similarly, the cost of type B coffee is $5.65 per pound, so the cost of the type B coffee used in the blend is 5.65(167 - x) dollars.

According to the problem, the total cost of the blend is $863.25. Therefore, we can set up the equation:

4.55x + 5.65(167 - x) = 863.25

Simplifying the equation, we have:

4.55x + 944.55 - 5.65x = 863.25

Combining like terms, we get:

-1.1x = -81.3

Dividing both sides by -1.1, we find:

x ≈ 105

Hence, Yolanda used approximately 105 pounds of type A coffee in the blend.

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Answer:

x^3-7

Step-by-step explanation:

The cube of a number means that it is to the power of 3 and 7 is subtracted is just the number cubed and then minus 7.

Answer:

2*(-3)= -6

Step-by-step explanation:

I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6

For any given Triangle ABC, its medial triangle is constructed by finding the midpoints of its three sides (Segments AB, BC, and AC) and constructing segments to join these midpoints.

An important property of the medial triangle is that it divides the original triangle into four smaller, congruent triangles that are each similar to the original triangle.

With this in mind we now that the four triangles are congruent. Then:

but we know that CF is half of BC, then:

From the figure we also notice that:

Ans that AB is twice BE, then

Summing up we have:

Answer:

B. 5 miles

Step-by-step explanation:

Let the miles in 1 hour be x

According to the question,

25 miles  = 5 hours

x miles = 1 hour

x miles = 25 miles / 5 hours

x = 5 miles

Hope it helps!

Answer:

90

Step-by-step explanation:

The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:

x + y + z = 185

They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:

x + (5x) + z = 185.

And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:

x + (5x) + (5x-13) = 185

So now we can combine like terms and solve for x.

6x + 5x - 13 = 185

11x - 13 = 185

11x = 198

x = 18

But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:

y = 5x

y = (5*18)

y = 90

The geothermal gradient is the rate of increase of temperature as we go deeper beneath the earth's surface. It's measured in degrees Celsius per kilometer.

As we go deeper, the temperature rises.The average geothermal gradient is about 30°C/km (17°F/mi) in the Earth's crust. The temperature can reach as high as 1200 °C at the boundary between the core and the mantle.

The geothermal gradient is the rate of increase of temperature as we go deeper beneath the earth's surface. It's measured in degrees Celsius per kilometer.

As we go deeper, the temperature rises.On the average, the geothermal gradient is about 30°C/km. The temperature can reach as high as 1200 °C at the boundary between the core and the mantle.

Geothermal energy is generated by the Earth's internal heat, and it's a significant source of energy for humanity. It is a renewable resource that is used to produce electricity, heat homes and buildings, and provide hot water. Geothermal energy is created by drilling a well into a geothermal reservoir.

A geothermal reservoir is a region of hot rock and water beneath the Earth's surface. When water is pumped into the reservoir, it heats up and turns into steam. The steam is then used to drive turbines that generate electricity. Geothermal energy is a clean source of energy because it doesn't produce any greenhouse gases or other pollutants.

On the average, the geothermal gradient is about 30°C/km. It's measured in degrees Celsius per kilometer. As we go deeper beneath the earth's surface, the temperature rises, and the temperature can reach as high as 1200 °C at the boundary between the core and the mantle. Geothermal energy is generated by the Earth's internal heat, and it's a significant source of energy for humanity.

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Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.

Answer:

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60

Step-by-step explanation:

The given data are as follows

x,      p($)

10,    52.5

25,   41.25

40,   30

60,   15

We note that a plot of the given points give a straight line graph indicating a linear relationship

The rate of change of p($) with x is given by slope, m in the following relation;

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Which gives;

\(Slope, \, m =\dfrac{41.25-52.5}{25-10} = \dfrac{30-41.25}{40-25} = \dfrac{15-30}{40-60} =-0.75\)

Therefore, to write the equation in slope and intercept form, we have;

From the first point with coordinates (52.5, 10), we have

y - 52.5 = -0.75×(x - 10)

y = -0.75·x + 7.5 + 52.5 = -0.75·x + 60

The equation that represents the number of persons buying the phone and the price of the phone is y = -0.75·x + 60.

1) This is a problem of rational equations, so let's set them so that we can solve it:

Note that on the left we have the mixture, 35% = 0.35 of a solution +0.85 times the number of liters we want to produce minus x. This is going to be equal to 60% (0.6) times 90.

2) Now, we can solve it:

Once the hardest part is done, we had to deal with the good old Algebra.

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

Answer:

I'm in7th grade so should be easy!

131

Step-by-step explanation:

we use PEMDAS to solve this equation so first we do the parentheses  don't have any next exponents but we also don't have that so we got to multiplication 32 X 4 = 128 -2 = 126 + 5 = 131

Answer:

I thinks its 131

Step-by-step explanation:

5+32 x 4 - 2=

5+128-2=

131

Answer:

Step-by-step explanation:

The graph is contained in the second quadrant so the y- values are between zero and positive infinity:

Correct choice is D

The function lies in 2nd quadrant in XY plane

We know

Or

\(\\ \sf\longmapsto R_f>0\)

\(\\ \sf\longmapsto y>0\)

Option C is correct

Answer:

D BOTTOM RIGHT

Step-by-step explanation: