Name two fractions closer to 1 than to 1/2


10/11

14/15

3/11

1/11

1/15

7/15

I really need ur help quick
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The statement "The equation 2x + 7 = 2(x + 5) has one solution" is false because we would get 7 = 10 when we simplify the equation.

The equation 2x + 7 = 2(x + 5) can be simplified as shown below:

2x + 7 = 2(x + 5)

Distribute the 2 on the right side:

2x + 7 = 2x + 10

Isolate the variable x by subtracting 2x from both sides:

2x - 2x + 7 = 2x - 2x + 10 [subtraction property of equality]

Simplify:

7 = 10

Since we get 7 = 10, which is not true, it implies that the equation has no solution. Therefore, the statement is "The equation 2x + 7 = 2(x + 5) has one solution" is false.

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Complete Question:

(True or False). The equation 2x + 7 = 2(x + 5) has one solution.

Answer:

Zeros: -1, 1, 2

Step-by-step explanation:

Hi there!

\(y=(x+1)^2(x-1)(x-2)\)

The zero-product property states that if two terms, when multiplied, equals 0, one of the terms must be equal to 0.

Therefore, we know that either (x+1), (x-1) or (x-2) is equal to 0:

x+1 = 0

x-1 = 0

x-2 = 0

Now, to solve for the zeros of the function, we can just solve for x:

x+1 = 0 ⇒ x = -1

x-1 = 0 ⇒ x = 1

x-2 = 0 ⇒ x = 2

Notice how for the function, (x+1) is raised to a power of 2. This means that the zero -1 has a multiplicity of 2.

The other zeroes, 1 and 2, have multiplicities of 1.

I hope this helps!

Answer:

-24x + 18y

Step-by-step explanation:

Penelope would have to pay 11.80 for a mug with her own name on it. the fixed cost would be 5.40 and cost per letter would be 0.80.

Total cost = Fixed cost + (no. of letters*cost per letter)

let us take the fixed cost as x and cost per letter as y

so for alexander,

12.60 = x + 9y (eq 1)

for lucia,

9.40 = x + 5y (eq 2)

equating eq1 and eq 2

12.60 - 9y = 9.40 - 5y

12.60 - 9.40 = - 5y + 9y

4y = 3.20

y = 0.80

x = 9.40 - 5y

= 9.40 - 4 = 5.40

therefore, the cost for penelopes mug will be,

= 5.40 + (8*0.80)

= 5.40 + 6.40 = 11.80

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Answer:

25 mL

Step-by-step explanation:

m/D=V

75g/3 g/mL = V

25mL =V

Answer:

try checking the questions again and put in more detail

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

Answer:1a

Step-by-step explanation:

To verify Stokes's Theorem for vector field \(F(x, y, z) = (-y + z)i + (x - 2)j + (x - y)k\) over the surface S defined by \(z = 1 - x^2 - y^2\), evaluate the line integral and the double integral.

The line integral of F over the curve C, which is the boundary of the surface S, can be evaluated using the parametrization of the curve C.

We can choose a parametrization such as r(t) = (cos(t), sin(t), 1 - cos^2(t) - sin^2(t)) for t in the interval [0, 2π]. Then, compute the line integral as:

∫ F . dr = ∫ (F(r(t)) . r'(t)) dt

By substituting the values of F and r(t) into the line integral formula and evaluating the integral over the given interval, we can obtain the result for the line integral.

To calculate the double integral of the curl of F over the surface S, we need to compute the curl of F, denoted as ∇ x F. The curl of F is :

∇ x F = (∂P/∂y - ∂N/∂z)i + (∂M/∂z - ∂P/∂x)j + (∂N/∂x - ∂M/∂y)k

where P = -y + z, M = x - 2, N = x - y. By evaluating the partial derivatives and substituting them into the formula for the curl, we can find the curl of F.

Then, we can compute the double integral of the curl of F over the surface S by integrating the curl over the region projected onto the xy-plane.

Once we have both the line integral and the double integral calculated, we can compare the two values. If they are equal, then Stokes's Theorem is verified for the given vector field and surface.

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Answer: 7.5

Step-by-step explanation:

first. 3, 4, 5 is a pythagorean triple in terms of triangle ABC.

to find this you do 3 squared plus 4 squared to find c, which the simplified radical of 25 is 5.

the proportion you would do:

A'B'/A'C' would be equal to AB/AC

so... A'B'/6 = 5/4

A'B' will equal 30/4 or 7.5.

Answer:

c. 24........,........

Answer:

D

Step-by-step explanation:

To find circumference, it's 2(pi)r

Twice the radius is the diameter, so it's 10/2 = 5

2*3.14*5

Since you don't multiply pi, it's 10(pi)

Answer:

D. 10π

Step-by-step explanation:

C= 2πr

r being the radius of the circle

r= d/2

= 10/2 = 5

. C= 2πr

C= 2×π×r

= 2×π×5

= 10π

Answer:

-2 to 0.8 seems to be like than..

Answer:

7. y=46,x=44

Step-by-step explanation:

srq=y(alternate angles)

38+y=84(sum of the two opposite interior angles equals to exterior)

therefore y=46

x+y=90(sum of the two adjacent angles of a right angled triangle)

x+46=90

x=44

therefore y=46 and x=44

Answer:

0.01587301587

Step-by-step explanation:

calculator

The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

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The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.

In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.

The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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The complete question is:

Consider the following three market baskets:

Food Clothing

A 6 3

B 8 5

C 5 8

If preferences satisfy all four of the basic assumptions:

A. A is on the same indifference curve as B.

B. B is on the same indifference curve as C.

C. A is preferred to C.

D. B is preferred to A.

E. Both A. and B. are correct.

Answer:

A) 4 1/2

Step-by-step explanation:

8 - 4 1 / 2

4 1 / 2

= 4 1 / 2

Answer:

4 1/2 you will subtract 8-4 = 4 that is how I get my answer

I am happy to help

Answer:

Step-by-step explanation:

you find r by the nearest integer of the slope to find the answer

so in the template above for a conic, the defining components are the coefficients A and C

If either A=0 or C=0, then the equation is a parabola

if A=C, then we have a Circle

if either A or C is negative, and A≠C, then we have a hyperbola

if A and C are both positive or both negative, and A≠C, then we have an ellipse.

Answer:

w = - 9

Step-by-step explanation:

\(\frac{1}{3}\) (2w - 6) = - 8 ( multiply both sides by 3 to clear the fraction )

2w - 6 = - 24 ( add 6 to both sides )

2w = - 18 ( divide both sides by 2 )

w = - 9

Answer:

-9

Step-by-step explanation:

This is the same thing as  \(\frac{1}{3}(2w-6)=-8\)

\(\frac{2w-6}{3} =-8\)  

Multiply both sides by 3 to get rid of the denominator

\((3)\frac{2w-6}{3} =-8(3)\)

\(2w-6=-24\)

Add 6 to both sides

\(2w=-18\)

Divide both sides by 2 to isolate \(w\)

\(w=-9\)

The general solution of the system is given by x(t) = c_1 * v_1 * e^(λ_1 * t) + c_2 * v_2 * e^(λ_2 * t), where c_1 and c_2 are constants. Thus, the general solution of the given system is x(t) = c_1 * (6 1) * e^(12.32 * t) + c_2 * (-2 3) * e^(-2.32 * t).

The given system can be represented as x' = Ax, where A is the coefficient matrix (-1 -6 6 11). To find the eigenvalues and eigenvectors, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

Setting up the characteristic equation, we have:

det((-1-λ) -6; 6 (11-λ)) = 0,

(λ+1)(λ-11) - 36 = 0,

λ^2 - 10λ - 47 = 0.

Solving this quadratic equation, we find the eigenvalues λ_1 ≈ 12.32 and λ_2 ≈ -2.32.

Next, we find the corresponding eigenvectors by solving (A - λI)v = 0 for each eigenvalue. For λ_1 ≈ 12.32, we get the eigenvector v_1 = (6 1). For λ_2 ≈ -2.32, we get the eigenvector v_2 = (-2 3).

The general solution of the system is given by x(t) = c_1 * v_1 * e^(λ_1 * t) + c_2 * v_2 * e^(λ_2 * t), where c_1 and c_2 are constants. Thus, the general solution of the given system is x(t) = c_1 * (6 1) * e^(12.32 * t) + c_2 * (-2 3) * e^(-2.32 * t).

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1 1/12 square yards per hour

FIGHTING!

Area of triangle

a = 6 ft + 2 ft + 2ft = 10 ft

h = 12 ft

½ * 10 ft * 12 ft = 60 sq ft

Area of square :

a = 6 ft

6 ft * 6 ft = 36 sq ft

Area of this figure :

60 + 36 = 96 sq ft

Answer:

156 ft

Step-by-step explanation: (This does not seem to be in scale)

1. Split into one triangle and one square

2. Find triangle area

12 * 10 = 120 ft

3. Find square area

6 * 6 = 36 ft

4. Area = Atriangle + Asquare

120 + 36 = 156 ft