x^2-12x-6=-65 solve for x

The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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Answer:

4 tons is greater

1/2 is greater

Because one ton is equal to 1,000 pounds

There are 10-pound weights and 40-pound weights and the total weight of the set is 850 pounds.

The given equation is:

We know that 850 represents the total weight of the set. Thus:

10n represents a weight, and 40(12) also represents a weight.

The term 40(12) in the equation, tells us that there are twelve 40-pound weights and 40(12) is the weight of those 12 weights.

The term 10n in the equation, tells us that there are "n" 10-pound weights, and 10n is the total weight of those n 10-pound weights.

When we find the solution for "n" we will have found the number to 10-pound weights in the set.

Answer:

The number of 10 lb weights in the set

Answer:

6x+24=10

4x=24

x=6

OAmalOHopeO

Answer:

Step-by-step explanation:

OK, Since angle B and angle K are equal and the line segment CE is a bisector,So the shape is divided into two equal triangular parts.

therefore angle E divide into two equal part(angles) ;then: 6x+24=10x--->4x=24--->x=6

Answer:

Your answer would require a 7 in the hundreds place

Step-by-step explanation:

Answer:

  a) congruent

  b) not congruent

  c) congruent

Step-by-step explanation:

You want to know which sets of isosceles triangles are congruent.

An isosceles triangle has two congruent sides and two congruent angles. If those sides and angles match corresponding sides and angles in another isosceles triangle, then the triangles will be congruent.

Unless the triangle is equilateral, the two congruent base angles will have different measures than the angle between the congruent sides. Once any of the angle measures is known, the others are determined—provided that we also know which angle it is that is known.

The congruent side measures are the same, and the apex angle is the same. This triangle pair is congruent.

The base angle of one triangle is the same measure as the apex angle of the other. (Neither is 60°.) These triangles cannot be congruent.

The congruent side measures are the same, and the base angles are the same. This triangle pair is congruent.

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

\(z_1 = 3y^2\) ;

where initially;

\(z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1\)

The volume of the region is given by a triple which is expressed as:

\(V = \int_x \int_y \int_z \ dz \ dy \ dx\)

\(V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx\)

\(V =2 \Bigg [x \Bigg] ^1_0\)

V = 2

Thus, the volume of the region is 2

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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Answer:

  about 50.8 cubic meters

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²h

Put the given values into the formula and do the arithmetic.

  V = (1/3)π(3.4 m)²(4.2 m) = 16.194π m³

__

For π to calculator precision, this is ...

  V ≈ 50.84 m³

For π = 3.14, this is ...

  V ≈ 50.82 m³

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer: 20% of 160 is 32.

Step-by-step explanation:

The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.

To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.

Let us now find the 20% of 160.

20% = 0.2

percentage = 160 × 0.2

= 32

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Answer:

Step by step explanation:

well this is simble you just do it

Answer:

Step-by-step explanation:

Remark

If you find < 3 first, that will give you angle 5 by alternate interior angles. <5 and <7 are equal by vertically opposite angles.

Solution

<3 + <2 = 180o              these two angles are on the same straight line.

<3 + 83 = 180o              Subtract 83 from both sides

<3 = 180 - 83

<3 = 97

As per the remark <3 = <5 by alternate interior angles.

<5 = 97

<7 = 97                          Vertically opposite angles are equal

Note

There are 4 angles that are equal to 83 and 4 angles that are equal to 97

83: angles 2 4 6 and 8

97: angles 1 3 5 and 7

No other values for this diagram are possible and these are always the result.

answer:

we reject null and conclude that this manufacturers claim is false

Step-by-step explanation:

p = 30% = 0.30

p^ = 93/150 = 0.62

we state the hypothesis

H0: p = 0.30

h1: p not equal to 0.30

we find the z test stattistics

\(z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }\)

\(z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }\)

\(z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }\)

\(z=\frac{0.32}{0.03741}\)

z = 8.5538

at alpha = 0.05

z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

we compare z critical with the test statistic

z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.

Answer:

50% chance

Step-by-step explanation:

4 * 50% = 2

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

A taxa de juros desse fundo de investimento é de 24% ao ano.

Step-by-step explanation:

Esta é uma questão que envolve juros simples.

A quantidade de juros acumulados depois de t anos é dado por:

\(J = P*r*t\)

Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.

O montante é dado por:

\(M = J + P\)

Um investidor aplicou a quantia de R$ 500,00.

Isso significa que \(P = 500\)

Juros acumulados:

Montante era de R$ 560,00, o que significa que \(M = 560\)

Então, a quantidade de juros acumulados é dada por:

\(M = J + P\)

\(J = M - P = 560 - 500 = 60\)

Taxa de Juros:

6 meses é meio ano, o que implica que \(t = 0.5\)

Então

\(J = P*r*t\)

\(60 = 500*r*0.5\)

\(250r = 60\)

\(r = \frac{60}{250}\)

\(r = 0.24\)

A taxa de juros desse fundo de investimento é de 24% ao ano.

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

(a) Sandy picked  \(1\frac{1}{2}\) more buckets than Keith  .

(b) Jason have saved money for total of \(3\frac{3}{4}\) months .

In the question ,,

Part(a)  ,

it is given that

number of buckets of apples Keith picked is =  \(2\frac{5}{6}\) buckets ,

number of buckets of apples Sandy picked is = \(4\frac{1}{3}\) buckets

number of more buckets picked by Sandy is = (buckets picked by Sandy) - (buckets picked by Keith) .

= \(4\frac{1}{3}\)  -  \(2\frac{5}{6}\)  

= 13/3 - 17/6  = 3/2 = \(1\frac{1}{2}\) buckets .

Part(b)

number of months that Jason saved money in account = \(2\frac{1}{2}\) months

number of months that Jason saved money in cash =  \(1\frac{1}{4}\) months

total number of months for which money is saved is =  \(2\frac{1}{2}\) +  \(1\frac{1}{4}\)

Simplifying further ,

we get,

= 5/2 + 5/4

= 15/4

=  \(3\frac{3}{4}\) months .

Therefore , (a) Sandy picked  \(1\frac{1}{2}\) more buckets  and (b) Jason saved money for \(3\frac{3}{4}\) months .

The given question is incomplete , the complete question is

(a) Keith picked \(2\frac{5}{6}\) buckets of apples and Sandy picked \(4\frac{1}{3}\) buckets. How many more buckets of apples did sandy pick ?

(b) Jayson has \(2\frac{1}{2}\) months worth of pay saved in his account. He has \(1\frac{1}{4}\) months worth of pay saved in cash. Altogether, how many months of  money has Jayson saved ?

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6 kids played one or more of the 3 sports

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

Answer:

The new volume would be 14,850cm³.

Step-by-step explanation:

The volume of a rectangular prism is:

\(V = l*w*h\)

In which l is the length, w is the width and h is the height.

Dimensions tripled.

So \(l = 3l, w = 3w, h = 3h\)

The modified volume will be:

\(V_{m} = 3l*3w*3h = 27*l*w*h = 27V\)

Volume of 550 cm³ before the dimensions are tripled.

This means that \(V = 550\)

New volume:

\(V_{m} = 27*550 = 14850\)

The new volume would be 14,850cm³.

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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