10th
3770
Andre wants to save $40 to buy a gift for his dad. Andre's neighbor
will pay him weekly to mow the lawn, but Andre always gives a $2
donation to the food bank in weeks when he earns money. Andre
calculates that it will take him 5 weeks to earn the money for his
dad's gift. He draws a tape diagram to represent the situation.
Explain how the parts of the tape diagram represent the story.

Answer:

The answer is

Step-by-step explanation:

- 2x + 4 > - 4x + 8

Add 4x to both sides of the inequality

That's

- 2x + 4x + 4 > - 4x + 4x + 8

2x + 4 > 8

Subtract 4 from both sides

That's

2x + 4 - 4 > 8 - 4

2x > 4

Divide both sides by 2

That's

\( \frac{2x}{2} > \frac{4}{2} \)

We have the final answer as

Hope this helps you

The solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane. Your solution is correct.

To explain it further, the given system of equations is:

y = -2x + 8 ...(1)

y = x - 1 ...(2)

To solve the system, you substitute the expression for y from equation (2) into equation (1) to get: x - 1 = -2x + 8

Simplifying this equation gives: 3x = 9

Dividing both sides by 3 gives: x = 3

Now, you substitute this value of x back into equation (2) to get:

y = 3 - 1

Simplifying this equation gives:

y = 2

Therefore, the solution to the system of equations is (3, 2). This means that the two equations intersect at the point (3, 2) on the coordinate plane.

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The measure of PS is 58 not 48 showing that the statement PS = 48 is false

A line is a shortest distance between two points. If the measure of PQ is equivalent to QR where;

PQ = 3x - 7

QR = 2x + 2

PQ = QR

3x - 7 = 2x + 2

Collect the like term

3x - 2x = 2 + 7

x = 9

Determine RS

RS = x + 9

RS = 9 + 9

RS = 18

PS =  PR + RS

PS = PQ + QR + RS
PS = 3x - 7 + 2x + 2 + 18

PS = 3(9) - 7 +. 2(9) + 20

PS = 27 - 7 + 38
PS = 20 + 38

PS = 58

Hence the measure of PS is 58 not 48 showing that the statement PS = 48 is false

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Compound Interest

The final value of an investment of P dollars for t years at an interest rate of r is given by:

Where m is the number of compounding periods per year.

(a)

Lori buys a CD for P = $1500 that earns r = 6% = 0.06 interest compounded monthly for t = 10 years. Here m = 12 because there are 12 months in a year.

Substituting:

The CD will be worth $2729.10 in 10 years.

(b) If the interest compounds daily, then m = 360. Calculating:

The CD will be worth $2733.04 in 10 years.

(c) For t = 5 years:

The CD will be worth $2024.74 in 5 years.

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

the cosine function oscillates between -1 and 1, we know that cos(2π) = 1. Therefore, the y-intercept of h(x) is 1.To fully compare these functions, we would need to look at their values for other values of x as well.


To find the y-intercept of a function, we need to set x to zero and solve for y. For f(x) = 4x - 1, we have:

f(0) = 4(0) - 1
f(0) = -1

So the y-intercept of f(x) is -1.

For h(x) = cos(x + 2π), we have:

h(0) = cos(0 + 2π)
h(0) = cos(2π)

Since the cosine function oscillates between -1 and 1, we know that cos(2π) = 1. Therefore, the y-intercept of h(x) is 1.

Thus, we can see that h(x) = cos(x + 2π) has the greatest y-intercept between the two functions. It's important to note that comparing the y-intercepts of these functions only gives us information about their values when x = 0. To fully compare these functions, we would need to look at their values for other values of x as well.

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Answer:

La altura del prisma es 2,4 m.

Step-by-step explanation:

Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus tres dimensiones, esto es, longitud*ancho*altura. El volumen se expresa en unidades cúbicas.

Entonces:

volumen= longitud*ancho*altura

En este caso, los datos conocidos son:

Reemplazando:

24 m³= 2,5 m* 4 m* altura

Resolviendo:

\(altura=\frac{24 m^{3} }{2,5 m*4m}\)

\(altura=\frac{24 m^{3} }{10 m^{2} }\)

altura= 2,4 m

La altura del prisma es 2,4 m.

Answer:

i

Step-by-step explanation:

Answer:

$850.79

Step-by-step explanation:

Assuming "$ 796-99" meant $796.99

796.99 increase 6.75% =

796.99 × (1 + 6.75%) = 796.99 × (1 + 0.0675) = 850.786825

Answer:

What was going on in Britain during the time just before Shakespeare lived?

Elizabeth had settled the religious question by establishing the Church of England as the official religion of the country, insisting on church services in English, the English Bible and prayer book in churches etc, but not going as far in extreme Protestantism as, for instance, the Puritans would have liked her to do.

Step-by-step explanation:

please mark me brainliest!!

The period from 1550-1650 in British history was a time of significant political, social, and cultural change.

England, which had absorbed Wales under Henry VIII in the 16th century, merged with Scotland in 1707 to form a new sovereign state known as Great Britain.

Here are some key events and factors that were happening during the time just before, during, and just after Shakespeare lived:

Thus, the period from 1550-1650 was a time of significant change and upheaval in England, with political, religious, and economic developments shaping the lives of its people.

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The likelihood that fewer than 5 of the lockers will have the code 000 is approximately 0.999979, or 99.9979%

To calculate the probability of fewer than 5 lockers having the code 000, we need to use the binomial distribution formula, which is:

P(X < 5) = Σ(i=0 to 4) (n choose i) * p^i * (1-p)^(n-i)

where:

X is the number of lockers with the code 000

n is the total number of lockers (3000)

p is the probability of a locker having the code 000, which is (1/10)^3 = 1/1000

(n choose i) is the binomial coefficient, which represents the number of ways of choosing i items from n items.

Substituting the values in the formula, we get:

P(X < 5) = Σ(i=0 to 4) (3000 choose i) * (1/1000)^i * (999/1000)^(3000-i)

Using a calculator or software to calculate the summation, we get:

P(X < 5) = 0.999979

Therefore, the likelihood that fewer than 5 of the lockers will have the code 000 is approximately 0.999979, or 99.9979%

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After rοunding the answer tο the tenth if there is a decimal the x = 17/5.

A triangle is a geοmetric shape that has three straight sides and three angles. It is a three-sided pοlygοn that is fοrmed when three nοn-cοllinear pοints are cοnnected by straight lines. The three sides οf a triangle can be οf different lengths and the angles can alsο vary in size.

The sum οf the angles οf a triangle is always 180 degrees, and the length οf οne side οf a b is always less than the sum οf the οther twο sides. Triangles are fundamental shapes in geοmetry and have many impοrtant prοperties and applicatiοns in mathematics and in the real wοrld.

NOW,

ST/VT=SR/VU

4x-1/x+2=14/6

6(4x-1)=14(x+2)

24x-6=14x+28

-14x+6=-14x+6

10x/10=34/10

sο  x = 17/5

Therefοre, the  x  17/5.

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Answer:

What price shown?

Step-by-step explanation:

The given statement "two infinite sets are shown to be countable by Cantor's diagonalization proof" is TRUE.

Therefore, the given statement "two infinite sets are shown to be countable by Cantor's diagonalization proof" is TRUE.

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2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

Option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.

To determine the probability of an event, we typically express it as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this case, we are looking for the probability of an unlikely event, which means the probability value should be relatively low.

Let's analyze each option:

A) 15%:

This option represents a probability value of 15%, which can also be expressed as 0.15. Since 0.15 is greater than 0 and less than 1, it falls within the valid range for a probability value. Therefore, option A) 15% is a reasonable representation of the probability of an unlikely event.

B) 9/2:

This option represents a fraction, 9/2, which is equal to 4.5. Since 4.5 is greater than 1, it does not fall within the valid range for a probability value. Therefore, option B) 9/2 is not a suitable representation of the probability of an unlikely event.

C) 0.99:

This option represents a probability value of 0.99. Although 0.99 is close to 1, it is still greater than 0. Therefore, option C) 0.99 is not a suitable representation of the probability of an unlikely event.

D) -3:

This option represents a negative value, -3. In probability theory, probabilities cannot be negative since they represent the likelihood of an event occurring. Therefore, option D) -3 is not a valid representation of the probability of an event.

In summary, option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.

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P(k + 1) is true if P(k) is true, and since P(1) is true, P(n) is true for all positive integers n by mathematical induction.

P(1) = 1(1+1)(2(1)+1)/6 = 1

P(1) is true.

P(k): 12 + 22 + ... + k2 = k(k + 1)(2k + 1)/6

P(k + 1): 12 + 22 + ... + k2 + (k + 1)2 = (k + 1)(k + 2)(2k + 3)/6

To prove the induction step, we assume P(k) is true and use it to prove P(k + 1) is true.

Starting with the left side of P(k + 1):

12 + 22 + ... + k2 + (k + 1)2

= k(k + 1)(2k + 1)/6 + (k + 1)2

= (k + 1)[k(2k + 1)/6 + (k + 1)]

= (k + 1)(k + 2)(2k + 3)/6

= Right side of P(k + 1)

Therefore, P(k + 1) is true if P(k) is true, and since P(1) is true, P(n) is true for all positive integers n by mathematical induction.

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The effect size (r-squared) for the difference in texting time between girls and boys is 17%.

The effect size (r-squared) measures the proportion of the variance in one variable that can be explained by another variable. In this case, it indicates the percentage of the difference in texting time between girls and boys that can be accounted for by gender.

The effect size is calculated by dividing the sum of squares of the difference between the means (SS1 and SS2) by the total sum of squares (SS1 + SS2).

For the girls, the SS1 is 44, and for the boys, the SS2 is 40. The total sum of squares is obtained by summing these values, resulting in 84. To calculate the effect size (r-squared), we divide the sum of squares of the difference between the means (SS1 + SS2) by the total sum of squares (84). Therefore, (44 + 40) / 84 = 84 / 84 = 1.

The effect size (r-squared) is 1, which translates to 100% explained variance. However, an effect size greater than 1 is not feasible, indicating an error in the calculations or data provided.

Given the options provided, the closest value to the calculated effect size of 1 is 17%. It is important to note that an effect size of 17% is relatively large and suggests a substantial difference in texting time between girls and boys.

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The probability that a randomly selected student is taking a math class or an English class is 0.79.

Using the formula for the union of two events, P(A or B) = P(A) + P(B) - P(A and B), where A is the event "taking a math class" and B is the event "taking an English class", we can find the desired probability:

P(A or B) = 0.76 + 0.75 - 0.72 = 0.79

So,  "0.79" (which is given in upto two decimal places) is the probability that a randomly selected student is taking a math class or an English class.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Option (b) is correct. Both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

Option 1) for (int q=1; q<=100; ++q) iterates 100 times, starting from 1 and incrementing by 1 until q reaches 100.

Option 2) for (int q=100; q=0; -9) also iterates 100 times, starting from 100 and decrementing by 9 until q reaches 0.

Option 3) for (int q=99; q>0; q-=9) iterates 12 times, starting from 99 and decrementing by 9 until q becomes less than or equal to 0.

Option 4) for (int q=990; q>0; q-=90) also iterates 12 times, starting from 990 and decrementing by 90 until q becomes less than or equal to 0.

Comparing the number of iterations, we can see that both 1) and 2) have equivalent iterations with 100 iterations each. Similarly, 3) and 4) have equivalent iterations with 12 iterations each. Therefore, option (b) is correct, as both 1) and 2) have equivalent iterations, and 3) and 4) have equivalent iterations.

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Answer:

Abby

Step-by-step explanation:

I did the test on edge2020

Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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There are different kinds of curves. All density curves must satisfy the conditions that;

Note that a probability density curve must satisfy two key requirements: that is;

A density curve is regarded as a curve that is said to be always on or found above the horizontal axis, that is, it is always negative and its area is equal to 1 under it.

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Answer:

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.

Answer:

Just divide it into it gets simple

Step-by-step explanation:

The given expression is ∫∫(1-x^2)(62-y^2)^2 dxdy over the region R = {(x,y) | x^2 + y^2 ≤ 1}.

To evaluate this expression, we can use polar coordinates since the region R is a circle of radius 1 centered at the origin. So, we can write x = rcosθ and y = rsinθ, and the limits of integration become 0 to 2π for θ and 0 to 1 for r. Substituting these values, we get the integral expression as ∫0^2π ∫0^1 (1-r^2cos^2θ)(62-r^2sin^2θ)^2 rdrdθ.

Next, we can simplify the integrand by expanding the square of (62-r^2sin^2θ) and using trigonometric identities. This simplification leads to the expression ∫0^2π ∫0^1 (3844r^2 - 124r^4 + r^6)cos^2θsin^4θ rdrdθ.

Integrating this expression with respect to r and θ, we get the final result as 205π/128. Therefore, the value of the given expression is 205π/128.

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The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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