Find the AREA of the rectangle.
8 yards
3 yards

Answer:

what's 2+2?

a. fish

b.3

c.4

d.6,472

Im just giving away points to anyone who needs some.

c.4

Answer: 4

Step-by-step explanation:

2+2=4

From the diagram, the statements that are true includes

line OM ≅ line MP

∠ OJP ≅ ∠ OJL

In geometry, a tangent of a circle is a line that touches the circle at exactly one point, called the point of tangency.

The tangent line is perpendicular to the radius of the circle at that point. This means that the tangent line forms a right angle with the radius.

This makes ∠ OJP = 90 degrees also line LM id perpendicular to line OP, since it is a perpendicular bisector hence we have that

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B, because you would just assume the line continues forever on both sides.

2 feet.

how many square feet of wood he used to build the box.

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

Answer:

82 degrees

Step-by-step explanation:

First set 10x+8 equal to 12x-10 to find that the variable is equal to 9. Then solve for 10(9)+8 which equals 98. Since angle 1 is supplementary to angle two and supplementary angles add up to 180 degrees, subtract 98 from 180 to find that your answer is 82 degrees.

The Fed rule, also known as the Taylor rule, is an equation that attempts to describe how the Federal Reserve adjusts interest rates in response to changes in economic conditions.

The rule was first proposed by economist John Taylor in 1993 and has since become a widely used guide for central banks around the world.

The Fed rule is typically expressed as follows: r = p + 0.5y + 0.5(P - 2) + 2, where r is the federal funds rate, p is the target rate of inflation, y is the difference between actual output and potential output (also known as the output gap), and P is the current rate of inflation.

According to the rule, when the economy is operating below potential and inflation is low, the Fed should lower interest rates to stimulate growth.

Conversely, when the economy is growing too quickly and inflation is rising, the Fed should raise interest rates to slow down the economy and prevent inflation from getting out of control.

The Fed rule is not a perfect guide for monetary policy, as there are many other factors that can influence interest rate decisions, including global economic conditions, geopolitical events, and financial market developments.

However, it provides a useful framework for understanding the Fed's thinking about interest rates and helps to promote transparency and predictability in monetary policy.

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Using the remainder theorem, we found that c = -7 is indeed a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21 because the remainder obtained from dividing the polynomial by (x + 7) was zero.

No, c = -7 is not a zero of the polynomial.

To determine if c = -7 is a zero of the polynomial f(x) = -4x^3 - 28x^2 - 3x + 21, we can use the remainder theorem. According to the theorem, if c is a zero of the polynomial, then when we divide the polynomial by (x - c), the remainder should be zero.

Let's divide the polynomial by (x + 7) to check if the remainder is zero:

    -4x^3 - 28x^2 - 3x + 21 ÷ (x + 7)

Using polynomial long division:

          -4x^2  +  0x  -  3

   ------------------------

x + 7 | -4x^3 - 28x^2 - 3x + 21

         -4x^3 - 28x^2

         ----------------

                        0x^2 - 3x

                        0x^2 + 0x

                        -----------

                                    -3x + 21

                                    -3x + 21

                                    ----------

                                                0

The remainder is zero, which means that (x + 7) evenly divides the polynomial. Therefore, c = -7 is a zero of the polynomial.

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Explanation

Step 1

convert the fraction in decimal number

Step 2

Multiply the result by 100

so, the fractions equals 83.33 out of 100

Answer:

153.958 \(cm^{2}\)

Step-by-step explanation:

a = \(\pi r^{2}\)

a = 3.142(\(7^{2}\))     The radius is half of the diameter 14/2 = 7

a = 3.142(49)

a = 153.958

To find the smallest possible value of $n$, we need to find the smallest value that satisfies all three conditions.

From the first condition, we know that $n = 9a + 5$ for some positive integer $a$.
From the second condition, we know that $n = 7b + 3$ for some positive integer $b$.
From the third condition, we know that $n = 5c + 1$ for some positive integer $c$.
We can set these equations equal to each other and solve for $n$:
$9a + 5 = 7b + 3 = 5c + 1$
Starting with the first two expressions:
$9a + 5 = 7b + 3 \Rightarrow 9a + 2 = 7b$
The smallest values of $a$ and $b$ that satisfy this equation are $a=2$ and $b=3$, which gives us $n = 9(2) + 5 = 7(3) + 3 = 23$.
Now we need to check if this value of $n$ satisfies the third condition:
$n = 23 \not= 5c + 1$ for any positive integer $c$.
So we need to try the next possible value of $a$ and $b$:
$9a + 5 = 5c + 1 \Righteous 9a = 5c - 4$
$7b + 3 = 5c + 1 \Righteous 7b = 5c - 2$
If we add 9 times the second equation to 7 times the first equation, we get:
$63b + 27 + 49a + 35 = 63b + 45c - 36 + 35b - 14$
Simplifying:
$49a + 98b = 45c - 23$
$7a + 14b = 5c - 3$
$7(a + 2b) = 5(c - 1)$
So the smallest possible value of $c$ is 2, which gives us $a + 2b = 2$. The smallest values of $a$ and $b$ that satisfy this equation are $a=1$ and $b=1$, which gives us $n = 9(1) + 5 = 7(1) + 3 = 5(2) + 1 = 46$.
Therefore, the smallest possible value of $n$ is $\boxed{46}$.

To find the smallest possible value of $n$ which is a four-digit positive integer such that dividing $n$ by $9$, the remainder is $5$, dividing $n$ by $7$, the remainder is $3$, and dividing $n$ by $5$, the remainder is $1$, follow these steps:
Step 1: Write down the congruences based on the given information.
$n \equiv 5 \pmod{9}$
$n \equiv 3 \pmod{7}$
$n \equiv 1 \pmod{5}$
Step 2: Use the Chinese Remainder Theorem (CRT) to solve the system of congruences. The CRT states that for pairwise coprime moduli, there exists a unique solution modulo their product.
Step 3: Compute the product of the moduli.
$M = 9 \times 7 \times 5 = 315$
Step 4: Compute the partial products.
$M_1 = M/9 = 35$
$M_2 = M/7 = 45$
$M_3 = M/5 = 63$
Step 5: Find the modular inverses.
$M_1^{-1} \equiv 35^{-1} \pmod{9} \equiv 2 \pmod{9}$
$M_2^{-1} \equiv 45^{-1} \pmod{7} \equiv 4 \pmod{7}$
$M_3^{-1} \equiv 63^{-1} \pmod{5} \equiv 3 \pmod{5}$
Step 6: Compute the solution.
$n = (5 \times 35 \times 2) + (3 \times 45 \times 4) + (1 \times 63 \times 3) = 350 + 540 + 189 = 1079$
Step 7: Check that the solution is a four-digit positive integer. Since 1079 is a three-digit number, add the product of the moduli (315) to the solution to obtain the smallest four-digit positive integer that satisfies the conditions.
$n = 1079 + 315 = 1394$
The smallest possible value of $n$ is 1394.

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Answer:

\(\frac{5x+2}{(x-4)(x+7)}\)

Step-by-step explanation:

to obtain a common denominator

multiply the numerator/denominator of the first fraction by x + 7

multiply the numerator/denominator of the second fraction by x - 4

= \(\frac{2(x+7)}{(x-4)(x+7)}\) + \(\frac{3(x-4)}{(x-4)(x+7)}\)

simplify and add numerators leaving the common denominator

= \(\frac{2x+14+3x-12}{(x-4)(x+7)}\)

= \(\frac{5x+2}{(x-4)(x+7)}\)

Option B, (x, y) -> (-x, y), does not preserve congruence.

Congruence is a geometric relationship between two figures that have the same size and shape. In other words, two figures are congruent if one can be superimposed on the other without any overlapping or gaps.

A transformation preserves congruence if the image of a congruent figure is also congruent to the original figure. Option B, (x, y) -> (-x, y), reflects the figure over the y-axis, so it changes the orientation of the figure and therefore does not preserve congruence.

Options A, ( x, y) -> ( x + 6, y + 6), C, (x, y) -> (6x, 6y), and D, (x, y) -> (-y, x), all preserve congruence.

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Simplify using the laws of exponents

2^3a^7 ×2a^3

n^a x n^b = n^(a+b)

_______________________

2^3a^7 ×2a^3

1. the numbers

2= 2^1

2^3 ×2 = 2^4

2. a

a^7 x a^3 = a^10

______________________

The simplified expression is 2^4 a^10

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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Answer:

14 + 5x

Step-by-step explanation:

I hope this helps!

Answer:

NO RUBOX

Step-by-step explanation:

XD I totally spelled that wrong XD

Traffic accidents occur according to a poisson distribution.

The probability mass function of the total number of accidents between 8 a.m. and 11 a.m is

P(Z = z) = (e⁻⁸× 8ᶻ) /z! ; z = 0, 1, 2, ...........

= 0 ; otherwise

Let X be the random variable that denotes the number of traffic accidents occurring between 8 am and 9 am.

X ~ P(5) and P(X) = 5

Let Y be random variable that denotes the number of traffic accidents occurring between 9am and 11 am.

Possion process with rate 3 accidents per hour

Y~ P(3)

Let Z be random variable that denotes the number of traffic accidents occurring between 8a.m. and 11 am.

For 8 a.m. to 11 a.m. ,P(Z = X+Y) = P(Z = 3+5 = 8)

Possion probability mass function for it is

P(x, λ ) =(e⁻λ λˣ)/x!

The p.m. f of the total number of accidents between 8 am and 11 am is

P(Z = z) = (e⁻⁸× 8ᶻ) /z! ; z = 0, 1, 2, ...........

= 0 ; otherwise

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Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

It is given we are considering a package over 4 pounds.

Hence, the $8 will be a constant.

If the number of additional ounces is represented by x, and each ounce costs $0.25, then it is given by : 0.25x

Hence, the function which represents the situation given :

f(x) = 8 + 0.25x

Answer:

x = 32°

Step-by-step explanation:

The two angles form a straight line, so therefore they are supplementary.

The sum of supplementary angles always equal 180°, so we know that:

(3x - 4) + (3x - 8) = 180°

Now you have the equation, solve for x.

3x - 4 + 3x - 8 = 180°

6x - 12 = 180°

6x = 192°

x = 32°

Answer:

3x-4+3x-8=180

3x+3x=180+4+8

6x=192

x=32

check: 3(32)-4+3(32)-8=180

Answer:

42

Step-by-step explanation:

because i just did this and i got 42 on the asignment

If Carl's GPA is 2.2, his GPA has a z score of -1.0. Carl's GPA has a z-score of -1, and he has a higher GPA than approximately 15.87% of other students at UTA.

To determine what percentage of other students at UTA Carl has a higher GPA than, we need to find the area under the normal curve to the right of his z score. We can use a standard normal table or calculator to find this value, which is approximately 0.1587 or 15.87%. Therefore, Carl has a higher GPA than about 15.87% of other students at UTA.

To answer your question, we'll first calculate Carl's z-score and then determine the percentage of students he has a higher GPA than.

1. Identify the given values: mean (M) = 2.7, standard deviation (SD) = 0.5, and Carl's GPA (score) = 2.2.
2. Calculate the deviation by subtracting the mean from Carl's GPA: deviation = score - M = 2.2 - 2.7 = -0.5.
3. Calculate Carl's z-score using the deviation and standard deviation: z-score = deviation / SD = -0.5 / 0.5 = -1.

Now that we have Carl's z-score (-1), we can use a z-table or calculator to find the percentage of students Carl has a higher GPA than.

4. Look up the z-score in a z-table or use a calculator to find the corresponding percentile: ~15.87%.

So, Carl's GPA has a z-score of -1, and he has a higher GPA than approximately 15.87% of other students at UTA.

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Answer:

\(\textsf{C)} \quad 11-60i\)

Step-by-step explanation:

\(\textsf{Multiply }\: (6-5i)^2\)

\(\implies (6-5i)(6-5i)\)

\(\implies 6(6-5i)-5i(6-5i)\)

\(\implies 36-30i-30i+25i^2\)

\(\implies 36-60i+25i^2\)

\(\textsf{Remember that }i^2=-1:\)

\(\implies 36-60i+25(-1)\)

\(\implies 36-60i-25\)

\(\implies 36-25-60i\)

\(\implies 11-60i\)

The probability that at least 25 of the 29 customers have looked at their credit score in the past six months is:

P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

This is a question of probability and statistics, specifically in the area of binomial distributions. The probability of a single event can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

X = the number of successful outcomes (in this case, the number of customers who have looked at their credit score in the past six months)

k = the number of successful outcomes we want to know the probability of (in this case, 25)

n = the total number of trials or customers (in this case, 29)

p = the probability of a successful outcome (in this case, 0.67 or 67%)

        P(X ≥ k) = sum(P(X = i)) i = k to n

        P(X ≥ 25) = sum(P(X = i)) i = 25 to 29

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Answer:

The wire is sufficient for making a cube of volume 2197 cm³

Step-by-step explanation:

Volume of cube = L³

Volume of the cube = 2197 cm³

Length of the wire = 150 cm

Let's see if the wire is sufficient for making a cube.

Volume of the cube that could be made from the wire is:

V = (L)³

V = (150)³

V = 3,375,000 cm³

So,

The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.

That is why, the wire is sufficient for making a cube of volume 2197 cm³.

Neither.

Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.

The angle created by the lines intersect but do not create a 90 degree angle.

Given that the price(p) (in dollars) and the quantity (x) sold of a certain product satisfy the demand equation: (x = -20p + 240), we need to find the revenue as a function of (p).

The revenue obtained from selling a product can be obtained by multiplying the price and quantity sold. Revenue = Price x Quantity sold, which is (R = p . x ).

We know the demand equation for the product, which can be rearranged to get the quantity in terms of price: ( x = -20p +240).

Substituting this into the revenue function, we get:

( R = p . x = p . (-20p + 240) = -20p^2 + 240p).

Therefore, the revenue as a function of ( p ) is given by: (R(p) = -20p^2 + 240p).

Thus, we can express the revenue as a function of the price in the form of a polynomial. The revenue as a function of the price is given by ( R(p) = -20p^2 + 240p).

Hence, the answer is that the revenue as a function of price is given by (R(p) = -20p^2 + 240p).

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Answer:

$30

Step-by-step explanation:

50÷5=10x3=30

The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.

The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).

The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.

Bernice's best-response function can be determined by maximizing their profit function with respect to PB.

The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.

Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.

The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.

Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.

Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.

By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.

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