Solve each word problem. Use the empty space to the right of each problem to show your
work. Write your answer on the blank line under each question.
m
1. Santiago's sister weighed 7 pounds. 14 ounces when she
was born. How many ounces did she weigh?
17
JAMMOT
Answer:
2. Polly bought a watermelon that weighed 295 ounces What
is the weight of the watermelon in pounds and ounces?

Answer:
3. An elephant at the zoo weighs 12.000 pounds. How many
tons does the elephant weigh?
Answer:

Answer:

\(\frac{13}{3}\)

Step-by-step explanation:

4×3= 12

12 + 1 = 13

keep 3 as your denominator

so, 4\(\frac{1}{3}\) = \(\frac{13}{3}\)

The given fraction i.e. \(4 \frac{1}{3}\) could be written as an improper fraction is \(\frac{13}{3}\).

Given that,

Based on the above information, the calculation is as follows:

\(= 4\frac{1}{3}\\\\= \frac{13}{3}\)

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The range of the exponential function y based on its equation and the context of the problem is a set of positive real numbers less than the initial value of 62,150, representing the decreasing value of the car over time.

The given function represents the depreciation of Morgan's car over time, where x represents the number of months since the car was purchased. The function is y = 62,150 * (0.9999)^x.

To determine the range of the exponential function y, we need to consider the context of the problem. In this case, the range represents the possible values for the car's depreciation, or the value of y.

The base of the exponential function is 0.9999, which is less than 1. When a value between 0 and 1 is raised to a positive power, it decreases exponentially as the power increases. Therefore, as x (the number of months) increases, the value of y (the car's depreciation) decreases.

Since the base is less than 1, the range of the exponential function y is also less than the initial value of 62,150. As x approaches infinity, the value of y approaches 0, but it will never actually reach 0.

In practical terms, the range of the exponential function represents the decreasing value of the car over time. It indicates that the car's depreciation is continuous and will approach zero but will never completely reach zero.

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

x>7

Step-by-step explanation:

The circle is open so seven is not included which eliminates the second and fourth choice.

x<7 means x is less than seven which is wrong.

x> means x is greater than seven.

Answer:

x > 7

Step-by-step explanation:

We see that the arrow is going to the right, signaling greater than.

We know that it is not greater than or equal to, since the dot is not shaded.

So, the answer is x > 7.

Answer:

less than 1 and 1/2

Step-by-step explanation:

1/3 + 1/5 + 1/2 = 31/30 which is also equal to 1 1/30

Answer:so wut the answer?

Step-by-step explanation:im dum i dont know

Answer:

6,78

Step-by-step explanation:

Data size=10, Sample mean=15, and Standard sample deviation=6,782

Answer:

Answer: 2:3.

Step-by-step explanation:

\(\displaystyle\\\frac{The\ height\ of\ a\ model \ of \ a\ famous \ statue }{The\ height\ of\ the\ actual \ statue} =\frac{2\frac{1}{2} }{3\frac{3}{4} } \\\\\frac{\frac{5}{2} }{\frac{15}{4} } =\\\\\frac{5*4}{15*2} =\\\\\frac{2}{3}=2:3.\)

The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

We have,

(a)

To find the z-score corresponding to a specific percentage of days, we can use the standard normal distribution table or a calculator.

In this case, we are given that 45% of the days had a production of skateboards less than the specific value.

Since the standard normal distribution is symmetrical, we can find the z-score corresponding to 45% by finding the z-score that corresponds to

(1 - 0.45) / 2 = 0.275, which is the area to the left of the z-score.

Using the standard normal distribution table or a calculator,

We find that the z-score corresponds to 0.275 is:

= -0.63.

(b)

To find the specific number of skateboards corresponding to the z-score, we can use the formula:

x = μ + zσ

where x is the specific number of skateboards, μ is the mean (20,500), z is the z-score (-0.63), and σ is the standard deviation (55).

Substituting the values.

x = 20,500 + (-0.63) x 55

x = 20,468.35

Rounding to the nearest whole number,

x = 20,468.

Therefore,

The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

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Step-by-step explanation:

\(2(6)( - 2) = \\ = 2( - 12) = \\ = - 24\)

Answer:

48.3 miles

Step-by-step explanation:

"each" is the key word here. When you see "each" in a word problem, you should know to multiply. 6.9 times 7 is 48.3.

Answer:

48.3 miles in 7 days

Step-by-step explanation:

Step 1:

6.9 miles × 7 days          Equation

Step 2:

6.9 × 7        Multiply

Answer:

48.3 miles in 7 days

Hope This Helps :)

The expression (¬p ∨ q) ∧ (p → ¬r ∧ ¬p) ∧ (p ∨ r) is satisfiable.

The given logical expression is (¬p ∨ q) ∧ (p → ¬r ∧ ¬p) ∧ (p ∨ r). To determine whether it is satisfiable, we can create a truth table to evaluate the expression for all possible combinations of truth values for the variables p, q, and r.

The truth table for the given expression would have 2^3 = 8 rows since there are three variables. We can evaluate the expression for each row by substituting the corresponding truth values for p, q, and r and applying the logical operators.

After evaluating the expression for all eight rows, if there is at least one row where the expression evaluates to true, then the expression is satisfiable. On the other hand, if the expression evaluates to false for all rows, then it is unsatisfiable.

Since the truth table evaluation can be quite extensive to write out in a single response, I'll provide the summary of the answer:

The expression (¬p ∨ q) ∧ (p → ¬r ∧ ¬p) ∧ (p ∨ r) is satisfiable.

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in Algebra. If Brett wants an average score of at least 80 after his fourth test, which can be represented by the inequality (252 +x/4) ≥ 80, what is/are the possible score(s) he can make on the last test? Select all that apply.

65

68

41

67

81

Answer:

whats 25% of 8

2 2 2 2 each one worth 25%

so just add 2 to the 8 and thats 10 so 10 is 125% of 8

The expressions which demonstrates the identity property of multiplication is; 25(1) = 25 option B

Identity Property of Multiplication states that any number multiplied by 1 does not change, that is, it is constant or remains the same

Check all options

25(0) = 25

0 = 25

Not true

25(1) = 25

25 = 25

True (identity property of multiplication holds)

25 + 0 = 25

25 = 25

True (Not identity property of multiplication)

25 + 1 = 25

26 = 25

Not true

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Answer:

the answer is 0.3%

Step-by-step explanation:

12 divided by 40 is 0.3

Answer:

30%

Step-by-step explanation:

Write a proportion.

12 / 40 = x / 100

Cross multiply.

40x = 1200

Solve for x.

x = 30

She ate 30% of the chips.

The property of the average of any two odd integers being odd is true for all integers.

This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.

Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.

Therefore, the property is true for all integers.


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Answer:

The first

Step-by-step explanation:

The difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.

The given polynomials

(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

The difference in the given polynomials is calculated as follows;

(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

open the brackets;

-2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

add similar terms together;

- 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵

Thus, the difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.

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Element that would be more effective in accepting electrons - Chlorine

Element that would be the  best insulator - As

Element that would combine with sulfur - Rb

We know that in a bonding situation, it is possible to have electrons closer to one of the bonding atoms than the other. In such case, the electron cloud is seen to be closer to a given atom. The atom to which the electron cloud is closer is said to be more electronegative.

In the periodic table electronegativity is a property that tends to increase from the left hand side to the right hand side of the periodic table.

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For triangle BCD, the measure of segment:

1) CD = 64 units

2) CE = 26 units

3) HD = 33 units

4) GD = 29 units

5) HG = 15.75 units

6) HF = 8.1 units

Here, H is the circumcenter of ΔBCD

We know that the circumcenter of a triangle is nothing but the point where the perpendicular bisectors of three sides of that triangle intersect.

This means that EH, FH and GH are perpendicular bisectors of three sides of ΔBCD

We know that a perpendicular bisector always divides a line segment through its midpoint.

So, for side CB, CE = EB

Here, EB = 26 units

⇒ CE = 26 units

and, CB = CE + EB

CB = 26 + 26

CB = 52 units

Similarly, for side CD of triangle BCD:

CF = FD

here, FD = 32 units

⇒ CF = 32 units

And CD = CF + FD

⇒ CD = 64 units

Similarly, for side BD of triangle BCD:

BG = GD

Here, BD = 58 units

So, GD = 1/2 (BD)

GD  = 29 units

Now, we can observe that ΔCHD is an isosceles triangle.

So, CH = HD

⇒ HD = 33 units

In triangle GHD using Pythagoras theorem,

HG = \(\sqrt{HD^2-GD^2}\)

HG = \(\sqrt{33^2-29^2}\)

HG = 15.75 units

Similarly, in triangle CFH using Pythagoras theorem,

HF = \(\sqrt{HC^2-FC^2}\)

HF = \(\sqrt{33^2-32^2}\)

HF = 8.1 units

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Find the complete question below.

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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The statements which summarize each student's conjecture are:

Trey and Serena are both trying to find the number of stones that were in the original arch or vault. Thus, when they identify the number of stones and its main features, they would be able to determine the type of arch or vault that was built there.

The statements which summarize each student's conjecture are:

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Complete Question:

The Students' Conjectures: During an archeological dig, the students found a voussoir from a semicircular stone arch. A voussoir is a trapezoidal (wedge-shaped) stone used to build an arch or vault.

1. What are the students trying to find out? (1 point)

2. Complete the table to summarize each student's conjecture: (2 points: 1 point for each row)

Answer:

Step-by-step explanation:

We first calculate the difference between each pair (y-x) which gives 3, -6, 5, 0, -1. We then calculate the sample mean of these differences which is 1.02.

To compute the test statistic, we need to calculate the standard error of the mean difference, which is the standard deviation of the sample differences divided by the square root of the sample size. Using the sample differences, we can calculate the sample standard deviation to be approximately 3.24. With a sample size of 5, the standard error of the mean difference is approximately 1.45.

The test statistic is calculated as the sample mean difference minus the hypothesized population mean difference divided by the standard error of the mean difference. Substituting the values, we get (1.02 - 0) / 1.45 = 0.70. This is our test statistic.

The interpretation of this result depends on the significance level chosen for the test. If we use a significance level of 0.05, which is a commonly used value, we compare the test statistic to the critical value from the t-distribution with four degrees of freedom (one less than the sample size). Using a t-table, we find the critical value to be approximately 2.78. Since our test statistic of 0.70 is less than the critical value, we fail to reject the null hypothesis that the mean difference is 0.

In summary, to test the claim that the paired sample data come from a population for which the mean difference is Ud=0, we calculated the test statistic using the provided data. The test statistic was 0.70, and using a significance level of 0.05 and a t-distribution with four degrees of freedom, we failed to reject the null hypothesis that the mean difference is 0. This suggests that there is not enough evidence to conclude that the mean difference is different from 0.

In simpler terms, we used the given data to see if there is enough evidence to suggest that the average difference between the paired samples is not 0. By calculating the test statistic and comparing it to a critical value, we determined that we cannot reject the null hypothesis that the mean difference is 0. This means that there is not enough evidence to conclude that the mean difference is different from 0, and we cannot say that there is a significant difference between the paired samples.

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Answer:

v-2>1

v-2+2>1+2

v>3

Therefore, C

The slope of the perpendicular line t is -5/8

From the question, the points are given as

(4, 2) and (9, 10)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (4, 2) and (9, 10)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (4, 2) and (9, 10)

For a line t perpedicular to line s, the slope  is

Slope = -(x₂ - x₁)/(y₂ - y₁)

Substitute the known values in the above equation

So, we have the following equation

Slope = -(9 - 4)/(10 - 2)

Evaluate

Slope = -5/8

Hence, the slope of the line is -5/8

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The true statement is;

There is a greater percentage of Los Angeles residents who own a car than New York City residents who do

Given,

Following is the presentation of the values:

The number of residents in Los Angeles own a car = 3251

The number of residents in New York City  own a car = 1478

Total residents who own a car = 4729

Los Angeles  residents who do not own a car = 869

New York City residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total Los Angeles residents sampled = 4120

Total New York City residents sampled = 7660

Total residents of both cities sampled = 11780

Here,

Percentage of Los Angeles residents who own a car = (3251/4120)×100 = 78.9%

Percentage of New York City residents who own a car = (1478/7660)×100 = 19.3%

Then,

The total number of people in the poll who own a car = 4729

Therefore,

The correct option is that there is a greater percentage of Los Angeles residents who own a car than New York City residents who do.

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Answer: B

Step-by-step explanation:

The city covers an area of 80.38 square kilometers.

To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.

Hence, the number of square kilometers in 31.2 mi² is calculated as follows:

1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)

Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:

31.2 mi² × 2.5921 km²/mi² = 80.38 km²

Therefore, the city covers an area of 80.38 square kilometers.

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Answer:

It's B, because thats where the two points cross

Step-by-step explanation:

The First step to evaluate the given expression is 15+29 and final result can be 69.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression ,

55-15+29

The first step to evaluate

using BODMAS rule is

we get,

so at first we prefer addition over subtraction

so we are going to perform first -15+29

so we get,

55 - 15 + 29

55 + 14

= 69

Hence, The First step to evaluate the given expression is 15+29 and final result can be 69.

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