Which is an x-intercept of the continuous function in the table? Group of answer choices (–1, 0) (0, –6) (–6, 0) (0, –1)

Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

Answer:

x = \(\frac{11}{c}\)

Step-by-step explanation:

Given

cx - 4 = 7 ( add 4 to both sides )

cx = 11 ( isolate x by dividing both sides by c )

x = \(\frac{11}{c}\)

On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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The area of the shape with parallel sides is 28 unit².

A trapezoid is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. The area is given by:

A = (1/2) * (a + b)h

Where a, b is the length of the parallel sides and h is the height of the trapezoid.

Given that a = 8, b = 6 and h = 4, hence:

A = (1/2) * (8 + 6) * 4 = 28 unit²

The area of the shape with parallel sides is 28 unit².

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Answer:

28

Step-by-step explanation:

khan

Strategy

Area tells us the amount of space enclosed by the figure.

There are many ways we could split up the space into simpler shapes. Let's split the figure into two triangles.

We can find the area of each triangle, then add them to find the total area.

Hint #22 / 5

Area of the triangle on the left

The triangles have the same height.

\begin{aligned} \text{Area}_\text{triangle} &= \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac{1}{2} \cdot 6 \cdot 4\\\\ &= 12 \end{aligned}

Area

triangle

​

​

=

2

1

​

⋅base⋅height

=

2

1

​

⋅6⋅4

=12

​

The triangle on the left has an area of \blueE{12}12start color #0c7f99, 12, end color #0c7f99 square units.

Hint #33 / 5

Area of the triangle on the right

\begin{aligned} \text{Area}_\text{triangle} &= \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac{1}{2} \cdot 8 \cdot 4\\\\ &= 16 \end{aligned}

Area

triangle

​

​

=

2

1

​

⋅base⋅height

=

2

1

​

⋅8⋅4

=16

​

The triangle on the right has an area of \maroonD{16}16start color #ca337c, 16, end color #ca337c square units.

Hint #44 / 5

Total area

To find the total area of the shape, we can add the two partial areas.

\blueE{12}+\maroonD{16}=\purpleD{28}12+16=28start color #0c7f99, 12, end color #0c7f99, plus, start color #ca337c, 16, end color #ca337c, equals, start color #7854ab, 28, end color #7854ab

Hint #55 / 5

The area of the shape is 28 \text{ units}^228 units

2

28, start text, space, u, n, i, t, s, end text, squared.

Related content

Answer:

2, probably

Step-by-step explanation:

Based on the given data, there is not significant evidence at the 5% level to prove that Sweatin to the Oldies is better than Tae Bo in terms of weight loss.

To determine if there is a significant difference between the two programs, we can conduct a hypothesis test using the two-proportion z-test. The null hypothesis (H0) would be that there is no difference in the proportion of weight loss between Sweatin to the Oldies and Tae Bo, while the alternative hypothesis (Ha) would be that there is a significant difference.

Using the given data, we can calculate the sample proportions for weight loss in each program:

- Sweatin to the Oldies: 1280/2340 ≈ 0.547

- Tae Bo: 1180/2006 ≈ 0.588

We can then calculate the test statistic and compare it to the critical value at the 5% level of significance. If the test statistic falls in the critical region, we reject the null hypothesis and conclude that there is a significant difference. Otherwise, if the test statistic falls outside the critical region, we fail to reject the null hypothesis.

However, the critical values for the two-proportion z-test depend on the specific test being conducted (one-tailed or two-tailed) and the desired level of significance. Without this information, we cannot provide a conclusive answer.

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Answer:

*Pew Pew*

Step-by-step explanation:

10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

The two alleles present at a gene locus segregate from one another during gamete production, according to Mendel's first law of segregation, and each gamete has a 50% chance of harboring any one of the two alleles.

In meiotic drive genes, the alleles can become absorbed into considerably more than 50% of the gametes if they are present in a heterozygous state, which is against the law of segregation.

Here,

90% of the gametes from a heterozygous individual with tall and short alleles contain short alleles.

If tall dominates short, then 10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

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The value of the standard error of the mean in each of the following cases are as follows: a) = 1.414213562 = 1.41, b) = 1.41, c) = 1.41 and d) = 1.34.

As standard error (SE) = s × fpc /sqrt (n) and fpc = sqrt [(N-n) / (N-1)] where,

N = population size

n = sample size

then,

a) The population size is infinite (to 2 decimals).

If N = infinity, then fpc = 1.

Thus, SE = 10×1/sqrt (50) = 1.414213562 = 1.41  

b) The population size is N = 50,000 (to 2 decimals).

If N = 50000, then

fpc = sqrt [(50000-50)/(50000-1)] = 0.99950987

Thus, SE = 10*0.99950987/sqrt (50) = 1.413520414 = 1.41  

c) The population size is N = 5000 (to 2 decimals).

If N = 5000, then

fpc = sqrt [(5000-50)/ (5000-1)] = 0.995086951

Thus, SE = 10*0.995086951/sqrt (50) = 1.407265462 = 1.41

d) The population size is N = 500 (to 2 decimals).

If N = 500, then

fpc = sqrt [(500-50)/ (500-1)] = 0.949633407

Thus, SE = 10*0.949633407/sqrt (50) = 1.342984443 = 1.34

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Therefore, the solution of the given IVP using Laplace transform is: y(t) = -e^(3t) + t e^(3t) + (t^2/2) e^(3t) u(t-3)

Taking the Laplace transform of both sides of the differential equation, we have:

L[y''(t)] - 6L[y'(t)] + 9L[y(t)] = L[e^(3t)u(t-3)]

Using the derivative property of the Laplace transform, we have:

s^2 Y(s) - s y(0) - y'(0) - 6[s Y(s) - y(0)] + 9Y(s) = e^(3t) / (s - 3)

Substituting y(0) = 0 and y'(0) = 0, we get:

s^2 Y(s) - 6s Y(s) + 9Y(s) = e^(3t) / (s - 3)

Simplifying, we get:

Y(s) = [e^(3t) / (s - 3)] / (s - 3)^2

Using partial fraction decomposition, we can write:

Y(s) = -1/(s-3) + 1/(s-3)^2 + 1/(s-3)^3

Taking the inverse Laplace transform of both sides, we get:

y(t) = -e^(3t) + t e^(3t) + (t^2/2) e^(3t) u(t-3)

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By using slope intercept , These were the two points on the line: (0,-2) and (7,2).

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.

These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.

We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).

So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.

Graph given below:

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The forecasted registrations for years 2 to 12 using the exp is given below:YearRegistrations (000)Exponential smoothing .

Forecasted registrations

(000)20004.0020035.00

Ft = α(At-1) + (1-α)

Ft-120043.85F3 = αA2 + (1-α)

F220044.04F4 = αA3 + (1-α)

F320059.23F5 = αA4 + (1-α)

F420058.08F6 = αA5 + (1-α)

F520057.28F7 = αA6 + (1-α)

F620073.48F8 = αA7 + (1-α)

F720088.59F9 = αA8 + (1-α)

F820091.23F10 = αA9 + (1-α)

F920090.69F11 = αA10 + (1-α)F1020096.05

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Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

Answer:

8 hours

Step-by-step explanation:

To solve this it seems you need to set up a proportion.

12/2=48/x

cross multiply the 2 and 48.

2•48=96.

divide by the remaining number to get x.

96/12=8.

Answer:

the missing exponent is 2

Step-by-step explanation:

The Z score for a sample mean being 180  is -2.50.

To calculate the z-score for a sample mean x = 180 with a population mean (μ) of 200 and a standard deviation (σ) of 24, we need to use the following formula:

z = (x - μ) / (σ / √n)

In this case, x = 180, μ = 200, σ = 24, and n = 9.

Step 1: Subtract the population mean from the sample mean: (180 - 200) = -20.
Step 2: Divide the standard deviation by the square root of the sample size: (24 / √9) = 24 / 3 = 8.
Step 3: Divide the result from Step 1 by the result from Step 2: (-20) / 8 = -2.5.

The z-score for a sample mean x = 180 is -2.50.

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Answer:

Step-by-step explanation:

The mean of 5 numbers is 27.

The sum of five is:

Now there are 6 people with the mean age of 35 years.

The sum of six is:

The difference of the sums is the age of the person entered the room:

Answer:

The numbers are 37 and 38.

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 75

→ 2x + 1 = 75

Now the value of x will be,

→ 2x + 1 = 75

→ 2x = 75 - 1

→ x = 74/2

→ [ x = 37 ]

The another number will be,

→ x + 1

→ 37 + 1 = 38

Hence, numbers are 37, 38.

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

50(1+0.15)

Add the numbers

= 50(1.15)

Multiply the  numbers

= 57.5

The answer choices  50(1.15)  and 57.5 below are equivalent to 50(1+0.15)

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Answer:

56 is pretty sure.

Step-by-step explanation:

answer is up ahead.

What is his ending balance?

B = \(Pe^{rt}\) = \(4700e^{(.0503.5)}\) = $6043.98

How much interest did the account earn?

$1343.98

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

Let's call the measure of the angle x.According to the problem, its supplementary angle measures 180 - x.We are told that x is 29 times the measure of its supplementary angle, so we can set up the equation:x = 29(180 - x)Now we can solve for x:x = 5220 - 29x30x = 5220x = 174So the measure of the angle is 174 degrees, and its supplementary angle measures 6 degrees (180 - 174).

The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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Answer:

64

Step-by-step explanation:

diy

Answer:

-120

Step-by-step explanation:

Parentheses first: 2-10= (-8)

Then Add: 8+7=15

Then Multiply: 15 x (-8) = (-120)

Answer:

9. 18x

10. x - 9

11. 12x

12. \(c^2 + 14\)

13. 2(x - 11)

14. \(5( \frac{x}{4} )\)

Step-by-step explanation:

9. Remember that product means multiply, so 18 * x is the equation. Or 18x.

10. If the price is represented by x, and it decreases by 9, then we can represent that by x - 9.

11. Times means multiply. We can use x for the number of hours, so 12 * x or 12x works in this situation.

12. Sum means to add so we would add c squared and 14 to get c^2 + 14.

13. A number decreased by 11 is represented by x - 11, and all of that is multiplied by 2.

14. A number divided by 4 is represented by the x/4. All that is multiplied by 5.

I hope this helps!!

- Kay :)

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

3.66

Step-by-step explanation:

35÷9.55=3.66

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

Answer:

Step-by-step explanation:

2x+1=5x+0