If f(x)=2xsquared-10, find f(5)

A.90
B.10
C.7.5
D.40

Answer:

Because two of my uncles got shot and my moms friend committed suicuide. This all happened this year. That’s why I’m sad.

Step-by-step explanation:

Find the biggest common factor between the ratio's two terms to write the ratio in its simplest form. The largest number that equally divides both numbers is known as the greatest common factor of two numbers.

1 : 1/2 = 2 : 1

Add whole numbers to the values.

Create a fraction with the full number 1 as the denominator.

Next, we have:

1 : 1/2 = 1/1 : 1/2

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

1 1/3 : 4 4/7 = 7 : 24

There are now:

1 1/3 : 4 4/7 = 4/3 : 32/7

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

0.360 : 0.153 = 40 : 17

Add whole numbers to the values.

By multiplying both sides by 103 = 1000 to remove all three decimal places, you can convert any decimal values to integers.

Next, we have:

0.360 : 0.153 = 360 : 153

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Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

Answer:

0.90308998699

Step-by-step explanation:

Answer:

answer is 3

log(8×1)=log8

it can be written as log2^3=3log2

Answer:

56.42

Step-by-step explanation:

Answer:

\(5.642\times {10}^{1}\)

Step-by-step explanation:

fifty-six and forty two hundeths is 56.42

But in standard form it is 5.642×10¹

The probability that the return of the portfolio will be less than -43.5% in any given year is 0.0139, or approximately 1.39%.

To solve this problem, we need to standardize the value of -43.5% using the given mean and standard deviation.

z = (x - mu) / sigma

where z is the z-score, x is the value we want to find the probability for (-43.5%), mu is the expected return (13.2%), and sigma is the standard deviation (18.9%).

Substituting the given values:

z = (-0.435 - 0.132) / 0.189

z = -2.22

We can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.22.

P(Z < -2.22) = 0.0139

Therefore, the probability that the return of the portfolio will be less than -43.5% in any given year is 0.0139, or approximately 1.39%.

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In this case, the periodic payment (PMT) is $950, the interest rate (r) is 0.066 (6.6% divided by 100), and the total number of periods (n) is 48.

To find the amount necessary to fund the given withdrawals, we can use the formula for the future value of an ordinary annuity. First, we need to convert the interest rate to a decimal form by dividing it by 100:

6.6% / 100 = 0.066.
Since there are 12 semiannual withdrawals over 4 years, the total number of periods is 12 * 4 = 48.

The formula to find the future value of an ordinary annuity is:
\(FV = PMT * [(1 + r)^n - 1] / r\)
where FV is the future value, PMT is the periodic payment, r is the interest rate per period, and n is the total number of periods.
Plugging in the values into the formula:
\(FV = 950 * [(1 + 0.066)^48 - 1] / 0.066\)
Calculating this expression will give us the amount necessary to fund the given withdrawals.

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After 35 minutes there will be 40 bacteria remaining.

The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.

For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,

\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)

Now, for the second situation,  Nt=40.  We have to find the time at which there will be 40 bacteria remaining. Then,

\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)

The answer is 35 minutes.

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The correct interpretation of the psychologist's statement, "The evidence indicates that the correlation between a faculty member's research productivity and teaching rating is close to zero," would be b. good researchers are just as likely to be good teachers as they are bad teachers.

This interpretation suggests that there is no significant relationship between a faculty member's research productivity and their teaching rating. It means that being a good researcher does not necessarily imply being a good teacher, and vice versa.

The psychologist's statement indicates that the two factors, research productivity and teaching ability, are not strongly correlated with each other.

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Answer: 6.35

hope this helps.

TO FIND: construct 3 equation starting with x=5?

SOLUTION:

The equation is in the form of variable and constant equating.

Let the equation be x=5.

TO CREATE AN EQUATION,

FIRST WE ADD 5 BOTH SIDe,

x + 5=5+5

=x + 5=10

SECOND WE SUBRACT 5 BOTH SIDE,

x — 5=5—5

=x—5=0

THIRD WE MULTIPLY 5 BOTH SIDE,

5x=5×5

=5x=25

well u got the answer!

6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer: x=49

Step-by-step explanation:

equations

\(3\sqrt[]{153x} = 21\sqrt[]{153}\)

To remove the radical on the left side of the equation, square both sides.

\((3\sqrt{153x})^{2}= (21\sqrt{153})^{2}\)

1377x=67473

Divide each term in

1377x=67473 by 1377and simplify

x=49

Answer:

its d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.

(9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

Two or more expressions with an Equal sign is called as Equation.

For the first 8 hours: The flat rate is $9.50 per hour, so 15% of that rate is 0.15 x 9.50 = $1.43.

The cost for the first 8 hours is (9.50 + 1.43) x 8 = $96.64.

For the next 8 hours: The flat rate is still $9.50 per hour, so 10% of that rate is 0.10 x 9.50 = $0.95.

The cost for the next 8 hours is (9.50 + 0.95) x 8 = $76.40.

Total cost estimate = $96.64 + $76.40 = $173.04

We can also write the equations for the costs as follows:

For the first 8 hours: Cost = (9.50 + 0.15 x 9.50) x Hours = 1.15 x 9.50 x Hours

For the next 8 hours: Cost = (9.50 + 0.10 x 9.50) x Hours = 1.10 x 9.50 x Hours

Using these equations, we can calculate the cost for any number of hours up to 16.

Hence, (9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

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Answer:

(9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

Step-by-step explanation:

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Answer:

Arithmetic sequence

Step-by-step explanation:

An list of numbers whereby the difference between each consecutive number is constant is called an arithmetic sequence. Given thelistvif numbers:

–8, –4, 0, 4, 8, 12 ;

We can see that each consecutive number in the list has a constant difference of 4. Hence x this is called an arithmetic sequence.

Answer:

The correct option is;

3. aₙ = 95 + (n - 1)·(-95)

Step-by-step explanation:

From the question, we have;

The account balance below which a fee is charged = $100

The balance in Zane's bank account for the four days are;

95.00, 89.50, 84.00, 78.50

Therefore, we have the first term of the series, a = 95.00

The common difference are;

78.50 - 84.00 = -5.5

84.00 - 89.50  = -5.5

89.50 - 95.00  = -5.5

Therefore, the common difference is -5.5

The arithmetic sequence is therefore, aₙ = 95 + (n - 1)(-5.50)

Answer:

the answer is :  an=95+(n-1)(-5.50)

Answer:

a. (x² + y²)² = (x² - y²)² + (2xy)²

b. The conjecture works in all cases.

c. Sides of 119, 120, and 169

Step-by-step explanation:

a. Equation that models this conjecture

x² + y² = sum of squares

x² - y² = difference of square

  2xy = twice the product of the integers

If these are the sides of a right triangle then

(x² + y²)² = (x² - y²)² + (2xy)²

b. Test the conjecture

(i) Try x = 2, y = 1

(2² + 1²)² = (2² - 1²)² + (2×2×1)²

       5² = 3² + 4²

      25 = 9 + 16

(ii) Try x = 3, y = 1

(3² + 1²)² = (3² - 1²)² + (2×3×1)²

      10² = 8² + 6²

    100 = 64 + 36

(iii) Try x = 3, y = 2

(3² + 2²)² = (3² - 2²)² + (2×3×2)²

       13² = 5² + 12²

     169 = 25 + 144

The conjecture appears to work in all cases.

c. A possible triangle

We must have one side greater than 100. That means,  

x² > 100 or x >1 0.

                                      Let x = 12

                               One side = 12² + y²

                  The second side = 12² - y²

The third side must have 2xy > 100

                                        24y > 100

                                            y > 4.2

                                      Try y = 5

                              (12² + 5²)² = (12² - 5²)² + (2 × 12 × 5)²

                                       169² = 119² + 120²

So, one right triangle could have sides of 119, 120, and 169.

Furthermore, these sides have no common factors.

Check:

 169² = 119² + 120²

28561 = 14161 + 14400

28561 = 28561

Therefore, the approximate arc length, rounded to the nearest hundredth between each spoke is `48.65 mm`.

The arc length is defined as the distance along the circumference of the circle, i.e. the distance between any two spokes on the rim of the wheel. Given that the diameter of the wheel is 465 mm, the radius of the wheel is `r = 465/2 = 232.5` mm.

The circumference of the wheel is `C = 2πr`.

Substituting the value of `r`, we get `C = 2×3.14×232.5 = 1459.5` mm.

Since the wheel has 30 equally spaced spokes, the arc length between each spoke can be found by dividing the total circumference by the number of spokes, i.e. `Arc length between each spoke = C/30`.

Substituting the value of `C`, we get `Arc length between each spoke

= 1459.5/30

= 48.65` mm (rounded to the nearest hundredth).

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Answer:

Step-by-step explanation:

AT first, draw the reference line, which are given. If I take PQ as base, I won't need to draw PQ line as reference.

I took PQ(5.5cm) as base. Then, take 4.8cm in your compass by centering at point Q. Draw an arc. Then take 4.2 cm in your compass from the reference line which you have drawn and then centre at point P and draw an arc. Both the arcs will meet at one point. Then join the lines to form the Triangle PQR

Answer:

C and B

Step-by-step explanation:

(6)

\(\frac{3x-7y}{8}\) × \(\frac{6}{3x-7y}\) ← cancel 3x - 7y on numerator and denominator

= \(\frac{1}{8}\) × \(\frac{6}{1}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\) → C

(7)

\(\frac{6x}{x^2-9}\) ÷ \(\frac{8}{4x-12}\)

Factorise the denominators of both fractions

x² - 9 = x² - 3² = (x - 3)(x + 3) ← difference of squares

4x - 12 ← factor out 4 from each term

= 4(x - 3)

Then rewrite as

\(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{8}{4(x-3)}\) ← cancel 8 and 4 by 4

= \(\frac{6x}{(x-3)(x+3)}\) ÷ \(\frac{2}{x-3}\)

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= \(\frac{6x}{(x-3)(x+3)}\) × \(\frac{x-3}{2}\) ← cancel x - 3 on numerator and denominator

= \(\frac{6x}{x+3}\) × \(\frac{1}{2}\) ← cancel 2 and 6 on numerator and denominator

= \(\frac{3x}{x+3}\) → B

Answer:

\(\large\boxed{12(4c+1)}\)

Step-by-step explanation:

How to factor expressions?

Find the G.C.F. and divide it into the terms of the expression you need to factor, like this:

\(48c+12=12(4c+1)}\). So I took the 12 and pulled it out of both terms, obtaining \(12(4c+1)\).

To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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Answer:

2.5

Step-by-step explanation:

Answer:

f(x) = (x - 2)² + 2

Step-by-step explanation:

The vertex form of the quadratic function is:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

The axis of symmetry is the imaginary vertical line where x = h

a = determines whether the graph opens up or down, and how wide or narrow the graph will be.

h = determines the horizontal translation of the parabola.

k = determines the vertical translation of the graph.

Given the vertex occurring at point (2, 2), along with one of the points on the graph, (4, 6):

Substitute these values into the vertex form of the quadratic function:

f(x) = a(x - h)² + k

6 = a(4 - 2)² + 2

6 = a(2)² + 2

6 = 4a + 2

Subtract 2 from both sides:

6 - 2 = 4a + 2 - 2

4 = 4a

Divide both sides by 4:

4/4 = 4a/4

1 = a

Therefore, the quadratic function in vertex form is: f(x) = (x - 2)² + 2

Answer:

426 balloons

Step-by-step explanation:

274 + 152 = 426

Please give brainliest!

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

A continuum of consumers are uniformly distributed along the interval [0, 1]. Consumers have linear transportation costs and visit the shop that is closest to their location. Derive the locations a*, b*, and c* of the three shops that minimize aggregate transportation cost .

Let A, B, and C be the three shops’ locations on the line.[0, 1] Be ai and bi, Ci be the area of the line segments between Ai and Bi, Bi and Ci, and Ai and Ci, respectively.Observe that any consumer with a location in [ai, bi] will visit shop A, and similarly for shops B and C. For any pair of locations ai and bi, the aggregate transportation cost is the same as the sum of the lengths of the regions visited by the consumers.

Suppose, without loss of generality, that 0 ≤ a1 ≤ b1 ≤ a2 ≤ b2 ≤ a3 ≤ b3 ≤ 1, and let t = T(a, b, c) be the aggregate transportation cost. Then, t is a function of the five variables a1, b1, a2, b2, and a3, b3. Note that b1 ≤ a2 and b2 ≤ a3 and the bounds 0 ≤ a1 ≤ b1 ≤ a2 ≤ b2 ≤ a3 ≤ b3 ≤ 1.In particular, we can reduce the problem to the two-variable problem of minimizing the term b1−a1 + a2−b1 + b2−a2 + a3−b2 + b3−a3 with the additional constraints (i) and 0 ≤ b1 ≤ a2, b2 ≤ a3, and b3 ≤ 1.

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Answer:

-1/2

Step-by-step explanation:

-2 (4 - x) = 12x – 3

-8+2x=12x-3

+8            +8

2x=12x+5

-12x  -12x

-10x=5

/-10  /-10

= -1/2

Answer:

x = -1/2 or -0.5

Step-by-step explanation:

-2 (4 - x) = 12x - 3

Distribute the -2

-8 + 2x = 12x -3

Add 3 to both sides

-5 + 2x = 12x

Subtract 2x from both sides

-5 = 10x

Divide both sides by 10

x = -1/2 or -0.5