x and y intercepts please

Answer:

no its not a function

Step-by-step explanation:

because the lines on the graph are not equal\in a straight line(the puppy is not gaining the same amount each week)

A number line representing d>−4 would be a straight line with a solid or hollow circle at the point −4, depending on whether or not −4 is included in the solution.

If the inequality is d>−4, this means that any value of d that is greater than −4 can satisfy the inequality. For example, d=−3 or d=0 would satisfy the inequality, but d=−5 would not.

The arrow extending to the right from the circle indicates that the number line continues in the positive direction, indicating that any value of d greater than −4 is a solution. This depiction is straightforward and easy to understand, providing a visual representation of the possible solutions for the inequality.

In algebraic terms, the number line representation of an inequality can help students better understand the concept of absolute value and the importance of understanding the direction of the inequality when solving problems. It can also be useful in practical applications, such as interpreting temperature ranges or measuring distances. Overall, a number line helps visualize the concept of d>−4 by depicting all possible values of d that satisfy the inequality.

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Answer:

His percent markup is 150%

Step-by-step explanation:

Answer:

25mL

Step-by-step explanation:

Density of this irregular shaped object is 2gm/cm³

Amount of water displayed = 25 ml

Mass of solid = 50 grams

Density of this irregular shaped object

1 ml = 1 cubic centimeter

So,

Density of this irregular shaped object = Mass of object / Volume of object

Density of this irregular shaped object = 50 / 25

Density of this irregular shaped object = 2gm/cm³

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The terms minimum and infimum are both related to the concept of lower bounds in mathematics. A minimum is the smallest value in a set of numbers, whereas an infimum is the greatest lower bound of a set.

A minimum is a value that is less than or equal to all other values in the set, while an infimum is a value that is less than or equal to all other values in the set, but not necessarily the smallest value.

For example, if we consider the set {2, 4, 6}, the minimum is 2 and the infimum is also 2. However, if we consider the set {2, 4, 6, 8}, the minimum is 2 and the infimum is 4. In the latter set, 4 is the greatest lower bound, meaning that all other values in the set are greater than or equal to 4.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

y=(0,-45)

x=(-10,0)

Step-by-step explanation:

We need to find the probability of exactly three successes in six trials of a binomial experiment. Probability of success 50% (no success is 50%).

To find this probability, we need to use the following formula for Bernoulli Trials (or Binomial Experiment):

The combinations are given by:

Then, we have:

Thus, the probability of exactly three successes in six trials of a binomial experiment (which the probability of success is 50%) is 0.0625.

Rounding to the nearest tenth is about p = 0.1 (1/10) or 10%.

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question,

"Which system of equations has a solution of approximately (0.7, -1.4)?"

A). x - y = 2 and x + 2y = -2

B). x - 2y = -2 and x + y = 2

C). x - y = 2 and x - 2y = -2

D). x + y = 2 and x + 2y = -2

"If the given point (0.7, -1.4) is the solution of the system of equations, it will satisfy both the equations"

To check whether the statement given above is true or false we will substitute the values of x and y in the given equations,

A). x - y = 2

   0.7 - (-1.4) = 2.1

                    ≈ 2

    x + 2y = -2

   0.7 + 2(-1.4) = -2.1

                       ≈ -2

   True.

B). x - 2y = -2

     0.7 - 2(-1.4) = 3.5

    x + y = 2

    0.7 - 1.4 = -0.7

    False.

C). x - y = 2

    0.7 - (-1.4) = 2.1 ≈ 2

    x - 2y = -2

    0.7 - 2(-1.4) = 3.5

    False.

D). x + y = 2

    0.7 - 1.4 = -0.7

    x + 2y = -2

    0.7 + 2(1.4) = 3.5

    False.

Based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

A confidence interval is a range of values that provides an estimate of the true population parameter. In this case, we are interested in estimating the population mean (μ). The 95% confidence interval, as mentioned, is given as 12.65 ≤ μ ≤ 25.65.

Interpreting this confidence interval, we can say that if we were to repeat the sampling process many times and construct 95% confidence intervals from each sample, approximately 95% of those intervals would contain the true population mean.

The confidence level chosen, 95%, represents the probability that the interval captures the true population mean. It is a measure of the confidence or certainty we have in the estimation. However, it does not guarantee that a specific interval from a particular sample contains the true population mean.

Therefore, based on the computed 95% confidence interval, we can conclude that we are 95% confident that the true population mean falls within the range of 12.65 to 25.65.

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Answer:

36 / (1 - |2 - 7|) = -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

\(\\ \sf\longmapsto 8x-38=90\)

\(\\ \sf\longmapsto 8x=90+38\)

\(\\ \sf\longmapsto 8x=128\)

\(\\ \sf\longmapsto x=16\)

Now

\(\\ \sf\longmapsto z+90=180\)

\(\\ \sf\longmapsto z=90\)

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer: 6.1

Step-by-step explanation:

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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Answer:

Step-by-step explanation:

The sum of a triangle’s angles is always 180 degrees so

x+x+25=180

2x+25=180

2x=155

x=77.5 degrees

Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

Answer:

Step-by-step explanation:

A^2+B^2=C^2

A= x2-x1

B=y2-y1

(3,4) and (6,3)

6-3= 3

3-4=-1

3^2=9

-1^2=1

9+1=10

9+1=C^2

10=C^2

\(\sqrt{10}\)=3.16227766

Round up= 3.2

We can tell that this image is, a square, so 3.2*4 sides to get 12.8.

12.8 is the length of all of the sides combined.

To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.

For example, consider the differential equation dy/dx = 2y.

Isolate the dependent variable to get y = dx/2.

Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).

Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).

Solve for ln(y) to get ln(y) = ln(dx) - ln(2).

Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).

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Answer:

Area of shaded region is 160.14m²

Step-by-step explanation:

To find the area of the shaded region, subtract the area of inner circle from the area of outer one

a=πr²

(3.14)7²=153.86

(3.14)10²=314

314-153.86=160.14

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

To calculate the probabilities P(EF), P(EG), and P(FG), we need to determine the intersection of the events E, F, and G and divide it by the total number of possible outcomes, which is 4.

Event E = {1, 2}

Event F = {1, 3}

Event G = {1, 4}

To calculate P(EF), we need to find the intersection of E and F, which is the common element 1. Therefore, P(EF) = 1/4.

To calculate P(EG), we need to find the intersection of E and G, which is also the common element 1. Therefore, P(EG) = 1/4.

To calculate P(FG), we need to find the intersection of F and G, which is the common element 1. Therefore, P(FG) = 1/4.

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

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Let a ball be drawn from an urn containing four balls, numbered 1,2, 3, 4. Let E={1,2}, F={1,3}, and G={1,4}. If all four outcomes are assumed equally likely, then what is P(EF), P(EG), and P(FG)?

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid.

When CO2 is bubbled through an aqueous solution, it can react with water to form carbonic acid (H2CO3). This reaction occurs due to the dissolution of CO2 in water, which undergoes a chemical equilibrium process. Carbonic acid is a weak acid that can release hydrogen ions (H+) into the solution, thus lowering the pH. The presence of carbonic acid lowers the pH value compared to the original pH of the solvent.

This phenomenon is commonly observed when CO2 is dissolved in water, such as in carbonated beverages. The carbonic acid formed from the reaction with CO2 contributes to the acidic properties of the solution. Therefore, the most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid, leading to a decrease in pH.

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a. The area of each sector is 1.7 cm^2
b. If the weight of the silver disk is 2.3 grams, the silver wedge for each earring weighs approximately 319.4 milligrams.

Answer:
a. To find the area of each sector, we need to use the formula for the area of a sector: A = (θ/360°) * π * r^2, where θ is the central angle of the sector and r is the radius of the disk.

Given that the central angle is 50° and the radius is 2 cm, we can substitute these values into the formula:
A = (50°/360°) * π * (2 cm)^2

Simplifying the calculation:
A = (5/36) * π * 4 cm^2
A ≈ 1.7 cm^2

Therefore, the area of each sector is approximately 1.7 cm^2.

b. To find the weight of the silver wedge for each earring, we need to calculate the weight per unit area.

Given that the weight of the silver disk is 2.3 grams and the area of each sector is 0.694 cm^2, we can use the formula:
Weight per unit area = Total weight / Total area

Substituting the given values:
Weight per unit area = 2.3 grams / (2 * 0.694 cm^2)

Simplifying the calculation:
Weight per unit area ≈ 0.3194 grams/cm^2

To convert grams to milligrams, we can use the conversion factor 1 gram = 1000 milligrams. Therefore, the weight per unit area in milligrams is:
Weight per unit area ≈ 0.3194 grams/cm^2 * 1000 milligrams/gram

Simplifying the calculation:
Weight per unit area ≈ 319.4 milligrams/cm^2

Therefore, the silver wedge for each earring weighs approximately 319.4 milligrams.

Complete Question:

A jeweler makes a pair of earrings by cutting two 50° sectors from a silver disk. radius of the disk is 2 cm

a. Find the area of each sector.

b. If the weight of the silver disk is 2.3 grams, how many milligrams does the silver wedge for each earring weigh?

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The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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The most picked number between 1 and 10 is statistically 7.

"Most picked number" generally refers to the number that is most frequently chosen or selected.

It is difficult to determine the value in general without any specific context or situation.

However, statistically speaking, the number 7 is often considered the most popular choice. This is because it is considered a lucky number in many cultures and is also a common choice for people who do not have a specific number in mind.

Nevertheless, it's important to note that this may not always be the case and can vary depending on the context or situation as the probability of picking each number is equally likely (0.1).

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