I need help with question

Answer:

The equation 2x^2 + 6m = 2mx can be rearranged to 2x^2 - 2mx + 6m = 0. This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 2, b = -2m, and c = 6m.

For a quadratic equation to have no real solutions, its discriminant must be less than zero. The discriminant is given by the formula b^2 - 4ac. Substituting the values of a, b, and c into this formula, we get:

(-2m)^2 - 4(2)(6m) < 0

Solving this inequality for m, we find that the equation 2x^2 + 6m = 2mx has no real solutions when m < 0 or when m > 3.

So, for the value of m less than zero or greater than three, the equation has no real solutions.

The starting population at time t = 0, according to the function P(t) = Po .e^0.66t, is equal to P₀.

In the given exponential growth function, P(t) = P₀.e^0.66t, P(t) represents the population at time t, P₀ represents the initial population at time t = 0, and e is the base of the natural logarithm. To determine the starting population at time t = 0, we substitute t = 0 into the equation and solve for P₀.

When t = 0, the equation becomes P(0) = P₀.e^0.66(0). Simplifying further, we have P₀.e^0, and since any number raised to the power of 0 is equal to 1, the equation simplifies to P₀. Therefore, the population at time t = 0 is equal to P₀, which represents the starting population.

In conclusion, the starting population at time t = 0 in the given function is equal to P₀, as stated by the equation P(t) = P₀.e^0.66t.

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The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.

Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])

∴ for a line segments with endpoints (4,-7) and (12, -1),

 Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])

                = ( [¹/₂ (16)] , [¹/₂(-8)])

                = (8, -4)  (OPTION A)

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

False. The Six Sigma DMAIC approach is a problem-solving methodology used to improve processes and reduce defects, but it is not the only tool available.

Sigma is a statistical measure of dispersion, which is used to measure the variability or spread of a given data set. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. Sigma is commonly used in data analysis and is used to identify outliers and other patterns in data sets.

Depending on the nature of the problem, other problem-solving techniques may be more appropriate. For example, if the goal is to improve customer service, a method such as Lean Six Sigma, which focuses on customer value, may be more effective. Similarly, if the goal is to create new products or services, a design thinking approach could be used. In any case, it is important to assess the situation and choose the best course of action for the specific problem.

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If the 3.5 percent of the number is 49, then the number is 1400.

Percent is defined as a way of expressing a number as a fraction of 100. The symbol "%" is used to represent percent.

Let the number you're thinking be = "x".

We know that, 3.5 percent of the number is 49, which is mathematically written as ⇒ 3.5% of x = 49

To solve for x, we convert 3.5% to a decimal by dividing it by 100:

we get,

⇒ 0.035×(x) = 49,

Next, we solve for x by dividing both sides of the equation by 0.035,

We get,

⇒ x = 49/0.035

⇒ x = 1400

Therefore, the number you're thinking of is 1400.

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The given question is incomplete, the complete question is

I am thinking of a number 3.5 percent of my number is 49, find that number.

The probability that less than a third of the entry forms will include an order is 0.3760.

To solve this problem, we need to use the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, we want to find the probability that less than a third of the 15 entries will include an order, given that the probability of receiving an order with an entry form is 0.5.

Let X be the random variable that represents the number of entries with an order out of the 15 total entries. Then X follows a binomial distribution with parameters n=15 and p=0.5. The probability of less than a third of the entries having an order is equivalent to the probability of X being less than or equal to 5, since 5 is one third of 15.

Using a binomial probability table or calculator, we can find that the probability of X being less than or equal to 5 is 0.3760, rounded to four decimal places.

In summary, we used the binomial distribution to model the number of entries with an order, and found the probability that less than a third of the entries will include an order. We obtained a probability of 0.3760, which represents the likelihood of observing 5 or fewer entries with an order out of the 15 total entries.

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Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Answer:

If the 2 numbers are the same, it will be zero. If the positive number is larger than the negative number, the sum will be positive. If the negative number is larger than the positive number, then the sum will be a negative number.

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

3xy

3(4)(-2)

12(-2)

-24

Answer:

x=11

Step-by-step explanation:

65+3x+4+78=180

Combine like terms

147+3x=180

Subtract 147 on both sides

3x=33

Divide by 3

x= 11

Answer: 11 degrees

Step-by-step explanation:

65+3x+4+78=180

147+3x=180

3x=33

x=11

Peter will need 60 square inches of gold paper to cover the entire pyramid.

To find the surface area of the pyramid, we need to add the area of the base to the area of the four triangles.

Area of the base = 20 square inches

Area of each triangle = 10 square inches

Total area of the four triangles = 4 x 10 = 40 square inches

Total surface area = Area of base + Total area of four triangles

                                = 20 + 40

                                = 60 square inches

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The average number of gallons of fruit juice consumed per person in the country in​ 2006 is 7.8 gallons.

Given:

Total consumption of fruit juice in a particular country in 2006 was about 1.56 billion gallons.

The population of that country in 2006 was 200 million.

Average number of gallons = Total consumption of fruit juice in 2006 / Population in 2006.

= 1.56 billion gallons / 200 million

= 7.8 gallons.

Therefore The average number of gallons of fruit juice consumed per person in the country in​ 2006 is 7.8 gallons.

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Answer:

\(\large\boxed{\mathtt{x=8}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to solve for x.}\)

\(\textsf{Note that our equation is in word form, let's change it into numerical form.}\)

\(\large \tt { {4 \ plus \ 3 \ eighths \ x \ equals \ seven. } \atop {4+ \frac{3}{8} x = 7. } }\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Our goal is to find x. We should isolate x where its alone on the left side.}\)

\(\underline{\textsf{How?}}\)

\(\textsf{Simply subtract 4 from both sides to isolate x.}\)

\(\large\underline{\textsf{Isolating x;}}\)

\(\tt 4 - 4 + \frac{3}{8} x = 7 - 4\)

\(\underline{\textsf{We should have;}}\)

\(\tt \frac{3}{8} x = 3\)

\(\textsf{We don't know the value of x yet. We only know 3/8 of x.}\)

\(\textsf{For x to equal 1, multiply both sides of the equation by the \underline{reciprocal} of the fraction.}\)

\(\large\underline{\textsf{What is a Reciprocal?}}\)

\(\textsf{A Reciprocal is a \underline{fraction} where the Numerator and the Denominator \underline{flip}.}\)

\(\underline{\textsf{For example;}}\)

\(\large \tt {Flip \ the \ Numerator \ and \ the \ Denominator.} \atop {The \ Reciprocal \ of \ \frac{5}{4} \ is \ \frac{4}{5}.}\)

\(\large\underline{\textsf{Find the Reciprocal of} \ \frac{3}{8};}\)

\(\tt{ The \ Reciprocal \ of \ \frac{3}{8} \ is \ \frac{8}{3}.}\)

\(\underline{\textsf{Multiply;}}\)

\(\tt \frac{8}{3} \times \frac{3}{8} x = 3 \times \frac{8}{3}\)

\(\large\boxed{\mathtt{x=8}}\)

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads:}\)

\(\large\textsf{Four plus three eighths x equals seven}\)

\(\huge\textbf{Equation should look like:}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\huge\textbf{How will we solve for it?}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\mathtt{\dfrac{3}{8}x + 4= 7}\)

\(\large\text{SUBTRACT 4 to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x + 4 - 4 = 7 - 4}\)

\(\large\text{CANCEL out: 4 } \rm{-}\large\text{ 4 because it gives you 0.}\)

\(\large\text{KEEP: 7 }\rm{-}\large\text{ 4 because it help us solve for the x}-\large\text{value.}\)

\(\mathtt{\dfrac{3}{8}x = 7 - 4}\)

\(\mathtt{\dfrac{3}{8}x = 3}\)

\(\large\text{MULTIPLY }\rm{\dfrac{8}{3}\large\text{ to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x\times\dfrac{8}{3} = 3\times\dfrac{8}{3}}\)

\(\large\text{CANCEL out: }\rm{\dfrac{3}{8}\times\dfrac{8}{3}\large\text{ because it gives you 1.}\)

\(\large\text{KEEP: }\rm{3\times\dfrac{8}{3}\large\text{ because it gives the x}\rm{-}\large\text{value.}\)

\(\mathtt{x= 3\times\dfrac{8}{3}}\)

\(\mathtt{x= \dfrac{3}{1}\times\dfrac{8}{3}}\)

\(\mathtt{x = \dfrac{3\times8}{1\times3}}\)

\(\mathtt{x = \dfrac{24}{3}}\)

\(\mathtt{x = 24\div3}\)

\(\mathtt{x = 8}\)

\(\huge\textbf{What is the overall answer?}\)

\(\huge\boxed{\mathtt{x = 8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The slope of the given graph is determined as 1/3.

The slope of a line is a measure of its steepness of the graph. Mathematically, slope is calculated as rise over run or  change in y divided by change in x.

The formula is given as;

slope = Δy / Δx

where;

The slope of the given graph is calculated as follows;

choose the following coordinate points;

( x₁, y₁) = (-6, 0 )

( x₂, y₂) = ( 6 , 4 )

The slope = ( y₂ - y₁ ) / ( x₂ - x₁)

slope = ( 4 - 0 ) / ( 6 - - 6)

slope = ( 4 ) / ( 12)

slope = 1 / 3

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Given that matrix A is of size 4x4 and its determinant is 3, and matrix B is a singular matrix, we are asked to find the value of the expression det(2A⁻²Bᵀ) + 2.

To start, let's break down the expression:

2A⁻²Bᵀ

Since B is a singular matrix, its determinant is 0 (det(B) = 0).

To evaluate the expression, we need to find the determinant of A⁻² and Bᵀ.

The inverse of matrix A is denoted as A⁻¹. Since A⁻² means the inverse of A squared, it can be expressed as (A⁻¹)².

Given that det(A) = 3, we know that det(A⁻¹) = 1/det(A) = 1/3. Therefore, det(A⁻²) = (1/3)² = 1/9.

The transpose of matrix B, denoted as Bᵀ, has the same determinant as B, so det(Bᵀ) = det(B) = 0.

Substituting the determinants into the expression:

det(2A⁻²Bᵀ) + 2 = 2 * (1/9) * 0 + 2 = 0 + 2 = 2.

Hence, the value of a in the expression det(2A⁻²Bᵀ) + 2 = a is 2.

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The standard cell potential for the cell reaction Ag(s)/Ag(aq) // Cr2+(aq)/Cr(s) is +1.54 V. The reduction half-reaction for Ag+ has a higher potential than that for Cr2+, resulting in a positive cell potential.

The standard cell potential for the given cell response can be determined by deducting the standard decrease capability of the anode (oxidation half-response) from the standard decrease capability of the cathode (decrease half-response).

The cell documentation "Ag(s)/Ag(aq)//Cr2+(aq)/Cr(s)" shows that the Ag/Ag+ half-cell is the cathode, and the Cr2+/Cr half-cell is the anode.

The decreased half-response for the Ag/Ag+ half-cell is:

Ag⁺(aq) + e⁻ → Ag(s) E° = +0.80 V

The decreased half-response for the Cr2+/Cr half-cell is:

Cr²⁺(aq) + 2e⁻ → Cr(s) E° = -0.74 V

To ascertain the standard cell potential, we take away the anode potential from the cathode potential:

E°cell = E°cathode - E°anode

= 0.80 V - (- 0.74 V)

= 1.54 V

Subsequently, the standard cell potential for the given cell response is +1.54 volts.

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Answer:

The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.

The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.

Therefore, the square root of 37 is between the integers 6 and 7.

Answer:

8

Step-by-step explanation:

We can use triangle inequality, let AC = x:

x+4 > 5

x+5 > 4

9 > x

Simplifying:

x>1

x>-1

9>x

Thus: 9>x>1

So the Largest whole number is 8

Answer:

-7/5.

Step-by-step explanation:

Leave the denominators the same and subtract only the numerators. Since -3 is negative and 4 is a positive being subtracted, you get -7 as the numerator. So, it's -7/5.

Step-by-step explanation:

2x+15 = 5x-43

- Add 43 to both sides

2x+58 = 5x

- Subtract 2x from each side

58 = 3x

- Divide by 3

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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The probability of getting a sum of at least 5 when two dice are tossed = 13/18.

To obtain the probability of getting a sum of at least 5 when two dice are tossed, we can calculate the probability of the complement event and subtract it from 1.

The total number of possible outcomes when two dice are tossed is 6 * 6 = 36 (as each die has 6 possible outcomes).

Now, let's calculate the number of favorable outcomes, i.e., the outcomes where the sum of the two dice is less than 5.

The possible outcomes with a sum less than 5 are: (1,1), (1,2), (1,3), (2,1), (2,2), (3,1), (1,4), (4,1), (2,3), (3,2).

There are a total of 10 favorable outcomes.

Therefore, the probability of the complement event (getting a sum less than 5) is 10/36.

To calculate the probability of getting a sum of at least 5, we subtract the probability of the complement event from 1:

Probability of sum at least 5 = 1 - Probability of sum less than 5

Probability of sum at least 5 = 1 - 10/36

Probability of sum at least 5 = (36/36) - (10/36)

Probability of sum at least 5 = 26/36 = 13/18

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Answer:

domain[-infinity, infinity]

range[2, infinity]

1) The value of measure of x is, 7

2) The value of measure of angle 1 is,

∠ 1 = 42 degree

3) The value of measure of angle 2 is,

∠ 2 = 40 degree

We have,

A triangle AMH is shown in image.

Since, From figure we have,

By definition of angle bisector,

∠ 1 = ∠ 2

And, 2 ∠ 1 = ∠ AMH

Substitute all the given values, we get;

1) ∠ 1 = ∠ 2

5x - 2 = 4x + 5

Sole for x,

5x - 4x = 5 + 2

x = 7

2) 2 ∠ 1 = ∠ AMH

2 (7x + 7) = 16x + 4

14x + 14 = 16x + 4

14 - 4 = 16x - 14x

10 = 2x

x = 10/2

x = 5

Hence, Measure of angle 1,

∠ 1 = 7x + 7

∠ 1 = 7 (5) + 7

∠ 1 = 42 degree

3) ∠ 1 = ∠ 2

9x - 5 = 7x + 5

9x - 7x = 5 + 5

2x = 10

x = 5

Hence, Measure of angle 2 is,

∠ 2 = 7x + 5

∠ 2 = 7 (5) + 5

∠ 2 = 40°

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Answer:

D. SSS

Step-by-step explanation:

SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.

Answer:

SSS

Step-by-step explanation:

We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )

The difference in the amount paid by Cathy and Steven is $4000.

Simple interest is when the interest that is paid on the loan of a customer is a linear function of the loan amount, interest rate and the duration of the loan.

Simple interest = amount borrowed x interest rate x time

Simple interest of Cathy = $20,000 x 0.052 x 10 = $10,400

Simple interest of Steven = $20,000 x 0.048 x 15 = $14,400

Difference in interest = $14,400 - $10,400 = $4000

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The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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