Solve by completing the square: +12x-13=0

Answer:

$13

Step-by-step explanation:

$26 x .5 = $13

Answer:

it's 37/40

I just took the quiz

If the sample size is large and the probability of success is not too close to 0 or 1, using the normal distribution to approximate the binomial probability will generally give a more accurate answer than using the binomial tables. However, if the sample size is small or the probability of success is very close to 0 or 1, using the binomial tables may be more accurate.

If the sample size is large (typically, n ≥ 30) and suppose that the probability of success (p) is not too close to 0 or 1, then we can use the normal distribution. As it gives more approximate value to the binomial probability which will generally give a more accurate answer than using the binomial tables.

This is because the normal distribution provides a more precise approximation of the binomial distribution as the sample size increases.

However, if the the probability of success is very close to 0 or 1 or sample size is small then using the binomial tables to calculate the probability directly may be more accurate. In general, it's important to check the conditions for using the normal approximation before using it and to use good judgment in deciding which method is more appropriate for a given problem.

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Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the height of the cylinder

We have

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

Answer:

maybe can be 24

Step-by-step explanation:

first you have 9 taps but you close 3 of them so that means that you close 1/3 part of the taps so to the 18 mins also is going to increase 1/3 part of time and 1/3 of 18=6. we can say 18+6=24.

I hope and this is helps.

Answer:

If 9 can fill it in 18 min. it should take 6 24 min. to fill it.

Answer:

4√2

Step-by-step explanation:

This is a special right triangle with angle measures 90° 45° 45° and the side lengths for the ones that sees 45° = a and the one that sees 90° = a√2 (hypotenuse)

Your answer can be anything in the form y = mx+8 where you replace m with any real number.

You start with y = mx+b, and then replace the b with the y intercept 8.

The y intercept is where the polynomial crosses the y axis.

The value of m does not matter. So you could have y = 2x+8 or y = 3x+8 for instance. Replace m with whatever your favorite number is.

We want to find a polynomial of 1st degree that passes through the y-axis at y = 8.

The polynomial is: y = a*x + 8

Where the coefficient a can be any real number different than zero.

Let's see how to find that polynomial.

Remember that the degree of a polynomial gives us information of the maximum exponent that the polynomial has.

So if the degree is 1, then the polynomial maximum exponent is 1.

From this we can conclude that the polynomial will be something like:

y = a*x + b

Now, this is just a linear equation, where a is the slope and b is the y-intercept.

We do know that this intercepts the y-axis at 8, then we define b = 8, and we get:

y = a*x + 8

This is our polynomial, where the value of a can be any real number different than zero (we use that restriction because if a = 0, then the degree of the polynomial would not be 1).

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Answer:

5X+27=15

5x=12

x=5/12

I believe

Answer:

3/5≤ x ≤ 9/5

Step-by-step explanation:

pls heart and give me brainliest i would really appreciate it

Answer:

are u sure there are 130 cows?

Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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The determinant of A is 1.

The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them.

The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively.

A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.

We can compute the determinant of the 2x2 matrix A =

| 1 0 |

| 1 1 |

by expanding along the first column since it involves the least amount of computation:

| 1 0 |

| 1 1 |

det(A) = 1 * |1 1| - 0 * |1 1|

= 1

So, the determinant of A is 1.

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Complete question:

Compute the determinant by cofactor expansion. At each? step, choose a row or column that involves the least amount of computation.

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Two triangles are congruent if the two sides and included angles of the triangle are congruent to the two sides and included angles of the second triangle.

Congruent Triangle:

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other. The congruence symbol is "≅".

Side angle Side(SAS):

SAS congruence, also known as lateral congruence, is a term used to describe the relationship between two congruent figures. To understand what SAS means, let's elaborate on the SAS congruence of triangles.

These two triangles are the same size and shape. They are therefore said to be congruent. These can be considered examples of congruent triangles.

This can be expressed in mathematical form using the congruent triangle (≅) symbol. (ΔDEF≅ΔPQR). That is, D falls into P, E falls into Q, F falls into R. ED falls into PQ, EF falls into QR, DF into PR. From this we can conclude that corresponding parts of congruent triangles are equal.

In the congruence side angle side theorem, two sides and the angle formed by those two sides are said to be congruent if the two sides are equal to the included angle of another triangle.

Let's do an activity that demonstrates the detection of SAS. Given: AB=PQ, BC=QR, ∠B=∠Q. To prove: ΔABC ≅ ΔPQR

Place the triangle ΔABC over the triangle ΔPQR so that B falls on Q and side AB falls along side PQ.

Therefore ΔABC agrees with ΔPQR. Therefore, ΔABC≅ΔPQR. This indicates a joint SAS standard.

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Therefore, the difference between the amounts of interest Marcus and Gianna paid for their car loans is $350.

To calculate the difference between the amounts of interest Marcus and Gianna paid for their car loans, we can use the formula for calculating simple interest:

Interest = Principal × Rate × Time

Let's calculate the interest paid by Marcus and Gianna and find the difference.

For Marcus:

Principal (P) = $10,000

Rate (R) = 4.7% = 0.047 (converted to decimal)

Time (T) = 5 years

Interest paid by Marcus = P × R × T = $10,000 × 0.047 × 5 = $2,350

For Gianna:

Principal (P) = $10,000

Rate (R) = 4.5% = 0.045 (converted to decimal)

Time (T) = 6 years

Interest paid by Gianna = P × R × T = $10,000 × 0.045 × 6 = $2,700

The difference between the amounts of interest Marcus and Gianna paid for their car loans is:

$2,700 - $2,350 = $350

Therefore, the difference between the amounts of  interest Marcus and Gianna paid for their car loans is $350.

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The difference between the amounts of interest Marcus and Gianna paid for their car loans is $109.00. They both took out car loans from a bank.

We are given that Marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest, and Gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest.

In order to find the difference between the amount of interest paid by Marcus and Gianna, we have to calculate the total interest paid by each of them. Marcus paid:

Total Interest = Principal * Rate * Time = $10,000 * 0.047 * 5

                                                               = $2,350

Gianna paid:

Total Interest = Principal * Rate * Time  = $10,000 * 0.045 * 6

                                                                = $2,459

Hence, the difference between the amounts of interest paid by Marcus and Gianna for their car loans is:

Difference = Gianna's Interest - Marcus' Interest = $2,459 - $2,350

                                                                                = $109

Therefore, the difference between the amounts of interest Marcus and Gianna paid for their car loans is $109.00.

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Answer:

the 1st one

Step-by-step explanation:

because A<C are the only angle ur missing.

Answer:

DC ≅ AB

Step-by-step explanation:

Because AC ≅ AC is given, I'm gonna assume its DC ≅ AB

I know kind of weird that I'm gonna have to assume when I've given 148 answers and I'm of the rank expert, however I looked at that triangle and all of those answers are correctly proving congruence, so it makes no sense to mark you wrong because technically ALL of the sides are given

Answer:

15 metters

Step-by-step explanation:

hope this helps you.

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation.  We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

no

Step-by-step explanation:

because the sum of the angles of a triangle should = 180, and adding these numbers together give  a greater result of 220 degrees

Answer:

8

see image for work

To find a₂ and a₃ in a geometric sequence, we need to determine the common ratio (r) first.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, denoted as "r." Given that a₁ = 3 and a₅ = 768, we can use these values to find the common ratio.

We can use the formula for the nth term of a geometric sequence: aₙ = a₁ * r^(n-1).

Substituting a₁ = 3 and a₅ = 768, we have:

a₅ = a₁ * r^(5-1)

768 = 3 * r^4

Now, we can solve for the common ratio, r, by dividing both sides of the equation by 3 and taking the fourth root:

r^4 = 768/3

r^4 = 256

r = ∛(256)

r = 4

Now that we have the common ratio, we can use it to find a₂ and a₃.

To find a₂, we use the formula a₂ = a₁ * r^(2-1):

a₂ = 3 * 4^(2-1)

a₂ = 3 * 4

a₂ = 12

To find a₃, we use the formula a₃ = a₁ * r^(3-1):

a₃ = 3 * 4^(3-1)

a₃ = 3 * 16

a₃ = 48

Therefore, a₂ = 12 and a₃ = 48 are the values for the second and third terms in the geometric sequence, respectively.

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Given: A piece of copper bus bar is 0.75 millimeter by 100 millimeters in cross-section. Formula used :Area of cross-section = Length × Width In the given scenario, the length of the copper bus bar is 100 millimeters, and the width is 0.75 millimeters.

Therefore, the cross-sectional area of copper bus bar is calculated as follows: Cross-sectional area = 0.75 × 100 = 75 square millimeters To find the area in square centimeters, we will convert the area in square millimeters to square centimeters.1 square millimeter is equal to 0.01 square centimeters.  Therefore, the area of cross-section in square centimeters is calculated as follows: Area in square centimeters = 75 × 0.01 = 0.75Therefore, the cross-sectional area of copper bus bar in square centimeters is 0.75 square centimeters.

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This means that gcd(a, m) is a subset of gcd(b, m) (since any common divisor of a and m is also a common divisor of b and m), and similarly, gcd(b, m) is a subset of gcd(a, m). Therefore, gcd(a, m) = gcd(b, m).

To show that gcd(a, m) = gcd(b, m) when a ≡ b (mod m) and m ≥ 2, we can use the fact that if d divides both a and m, then it also divides b (since a ≡ b (mod m) implies that m divides a-b).
So, let's start by letting d be a common divisor of a and m, and let's show that it is also a common divisor of b and m. Since d divides a and m, we can write a = kd and m = ld for some integers k and l. Then, we have:
b ≡ a (mod m)  (by the definition of congruence)
b ≡ kd (mod ld)  (substituting a = kd and m = ld)
b = jd  (where j = k mod l, since ld divides kd and hence j is an integer)
Therefore, we have shown that if d divides both a and m, then it also divides b and m.

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A correlation value of 0 indicates that there is no linear relationship between the two quantitative variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two quantitative variables. The value of r ranges between -1 and 1, with 0 indicating no linear relationship.

When the correlation coefficient is 0, it means that there is no linear association between the variables. This implies that the variables do not show a systematic pattern or trend when plotted on a scatterplot. The absence of a linear relationship suggests that changes in one variable do not correspond to predictable changes in the other variable.

Therefore, the best interpretation of a correlation value of 0 is that there is no linear relationship between the two variables. It does not imply the absence of any relationship between the variables, as they could still be related in a nonlinear or non-monotonic manner. However, it indicates that the variables do not have a consistent linear association.

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Answer:

4=-2(1+b)

Step-by-step explanation:

slope intercept formula- y=mx+b

1=x

4=y

-2=m

(1)b=b

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

16 is double 8, so just double the price: 2.64 x 2= $5.28

then, subtract to find the dufference: 5.28 - 4.48= $.80

then, divide that by the oz:

.80/16= 5 cents per ounce

Answer:

0.05

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

33 divided by 3 is 11, and 11 times 3 is 33.

answer:

11

step-by-step explanation:

the easiest way to explain this is just to divide

33/3

which gets you the answer of 11

but here is another way to explain this

3x = 33

since the 3 and the x are times/multiplying each other and we need to get x by its self, all we do is move the 3 to the other side ( where 33 is ) but instead of multiplying them, we have the change the sign to dividing

3x = 33

/3 ----|>

( dont forgot to rewrite the equation!! )

x = 33/3

now all we need to do is divide 33 by 3 which gives us the answer of

11

hope this helps you! and if you ever need anymore help of problems like theses, just ask me :)