HELP JUST 1 AND 2 PLEASE HURRY WRITE THE NOUNS AND TELL WHETHER EACH IS COMMON OR PROPER

Approximately 83%` of the members voted against the measure.

Let the number of members of the legislature be x.Since 1/4 of the members of the legislature did not vote on the measure, then the fraction of those who voted is 1 - 1/4 = 3/4.3/4 of the members of the legislature voted.

Since the fraction of members of the legislature voting against the measure would have been 1/3 if 5 additional members had voted against it, then let the number of members who voted against it be y.

Thus, `(y + 5)/(x - 1) = 1/3`.

Solving for y:`(y + 5)/(3x/4) = 1/3`

Cross-multiplying and solving for y:`3(y + 5) = x/4``y + 5 = x/12`

Since y voted against the measure, and 3/4 of the members voted, then 1 - 3/4 = 1/4 of the members abstained from voting.

Thus, `(x - y - 5)/4 = x/4 - y - 5/4` members voted against the measure originally, which we know is equal to `3/4x - y`.

Equating the two expressions:`3/4x - y = x/4 - y - 5/4`

Simplifying:`x/2 = 5`

Therefore, `x = 10`.

Substituting back to find y:`y + 5 = x/12``y + 5 = 10/12``y = 5/6`

So, `5/6` of the members voted against the measure, which is `0.8333...` as a decimal.

Rounded to the nearest whole number, `83%` of the members voted against the measure.

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a)

Sample size (n) = 7

Sum of observations (ΣX) = 31

Sum of squared observations (ΣX^2) = 135

Mean  = 4.43

Variance (s^2) = 1.81

Standard deviation (s) = 1.34

Estimated standard error of the mean (s / sqrt(n)) = 0.51

b.)H0: μ = 7

Ha: μ < 7

t = -3.13

Critical t-value (one-tailed, α = .05, df = 6) = -1.943

c)We cannot use a z-test because we do not know the population standard deviation and must use the sample standard deviation instead to estimate the standard error of the mean.

d) We conducted a one-sample t-test and found that people who consume energy drinks after 4 p.m. get less sleep at night. Our results support the prediction that consuming energy drinks after 4 p.m. makes it difficult to sleep at night.

e.)As the sample size increases, the hypothesized distribution used to test Tina's hypothesis (the t-distribution) approaches the normal (z) distribution.

a) Sample size (n) = 7

Sum of observations (ΣX) = 31

Sum of squared observations (ΣX^2) = 135

Mean  = 4.43

Variance (s^2) = 1.81

Standard deviation (s) = 1.34

Estimated standard error of the mean (s / sqrt(n)) = 0.51

b) H0: μ = 7

Ha: μ < 7

t = -3.13

Critical t-value (one-tailed, α = .05, df = 6) = -1.943

Since our calculated t-value (-3.13) is smaller than the critical t-value (-1.943), we reject the null hypothesis and conclude that there is evidence that people who consume energy drinks after 4 p.m. get less sleep at night.

c) We cannot use a z-test because we do not know the population standard deviation and must use the sample standard deviation instead to estimate the standard error of the mean.

d) We conducted a one-sample t-test and found that people who consume energy drinks after 4 p.m. get less sleep at night. Our results support the prediction that consuming energy drinks after 4 p.m. makes it difficult to sleep at night. We can be 95% confident that the true population mean is less than 7 hours of sleep. The observed mean in the sample reflected a real mean difference in the population, and chance/error can be ruled out at a significance level of α = .05.

e) As the sample size increases, the hypothesized distribution used to test Tina's hypothesis (the t-distribution) approaches the normal (z) distribution. This is due to the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes approximately normal regardless of the shape of the population distribution. As a result, the standard error of the mean becomes more precise, and the critical values of the t-distribution become closer to the critical values of the normal distribution.

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Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

To the nearest tenth of a second (one decimal place), approximate how long it would take the ball to reach a height of 20 feet  is approximately 1.2 seconds or 4.4 seconds.

To find the time it takes for the ball to reach a height of 20 feet, we need to set the height function h(t) equal to 20 and solve for t.

\(h(t) = -16t^2 + 40t + 1.5\)

Setting h(t) = 20:

-16t^2 + 40t + 1.5 = 20

Rearranging the equation:

-16t^2 + 40t - 18.5 = 0

To solve this quadratic equation, we can use the quadratic formula:

\(t = (-b ± √(b^2 - 4ac)) / (2a)\)

For our equation, a = -16, b = 40, and c = -18.5. Substituting these values into the quadratic formula, we have:

\(t = (-40 ± √(40^2 - 4(-16)(-18.5))) / (2(-16))\)

Simplifying further:

\(t = (-40 ± √(1600 - 1184)) / (-32)t = (-40 ± √(416)) / (-32)\)

\(t = (-40 ± √(4 * 104)) / (-32)t = (-40 ± 2√(26)) / (-32)\)

Approximating to the nearest tenth of a second, we have two possible solutions:

t ≈\((-40 + 2√(26)) / (-32)\)≈ 1.2 seconds

t ≈\((-40 - 2√(26)) / (-32)\) ≈ 4.4 seconds

Therefore, to the nearest tenth of a second, it would take the ball approximately 1.2 seconds or 4.4 seconds to reach a height of 20 feet. By setting the height function equal to 20 and solving the resulting quadratic equation, we found two possible solutions for the time it takes for the ball to reach a height of 20 feet: approximately 1.2 seconds and 4.4 seconds.

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Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.

To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.

First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:

S(0) = -20 + 2.5(0) = -20

So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.

Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:

S(8) = -20 + 2.5(8) = 0

So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.

To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:

```
        |
        |
        |
        |         *
        |      *
        |   *
        |*_______
        0   8    x-axis
              S-axis
```

The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.

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The missing length in the triangle is 12 units

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

Area = 24 unit square

Base length = 4 units

using the above as a guide, we have the following:

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

1/2 * 4 * x = 24

Evaluate

x = 12

Hence, the missing length is 12 units

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Answer:

5 p.m.

Step-by-step explanation:

Newton's law of cooling-

\(T(t)=t_a+(t_0-t_a)e^{-kt}\)

where,

\(t_0\) = the initial temp. = 98.6 F (human body temp.)

k = 0.1947,

T(t) = 66 F,

\(t_a\) = 55 F,

Putting the values,

\(\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h\)

Therefore, the time of death was 7 hours before midnight i.e at 5 pm.

Answer:

Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie?

The variable, m, represents the amount of money

✔ Gianna started with

.

The problem uses difference to help determine the amount of money Gianna started with, so it is a

✔ subtraction

problem.

The correct equation to solve this problem is

✔ m – 4.75 = 12.35

.

Gianna had $17.1 before she bought the smoothie.

All applications of mathematics require knowledge of elementary algebra since it deals with the manipulation of variables, which are frequently represented by Roman letters, as though they were numbers. The study of algebraic structures like groups, rings, and fields is referred to as abstract algebra, primarily in educational contexts. Modern presentations of geometry include linear algebra, which deals with linear equations and linear translations, and has numerous real-world applications (in weather forecasting, for example). Several mathematical disciplines fall under the umbrella of algebra, some of which have the word "algebra" in their names, such commutative algebra, and others which do not, like Galois theory.

As per the given data:

Gianna paid $4.75 for a strawberry smoothie.

After payment, Gianna had = $12.35

For money Gianna had before she bought the smoothie:

Let's assume she had $x.

x - 4.75 = 12.35

x = $17.1

Hence, Gianna had $17.1 before she bought the smoothie.

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The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:

Walkway is 1.5 units²

Step-by-step explanation:

Just subtract the area of the garden from the combined area:

5.5-4=1.5

Also did you mean difference? I don't know what it means by sum.

To solve the system of equations using substitution we replace the value of y from the first equation into the second equation to find the value of x.

solve the equation for x

using the value of x in either equation find the value of y

The solution for the system of equations is:

X= -1,5

y= 0.75

When we reverse the integration and evaluation orders, we obtain: \(\frac{c}{2}-1\)

In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.

So, we have:
\($$\int_0^1 \int_x^z e^{\frac{x}{y}} d y d x$$\\\)

Here:  \(z=\sqrt{x}\)

Next, reverse the sequence:

\($$\int_0^1 \int_m^y e^{\frac{x}{y}} d y d x$$ $m=y^2$$$\\\\\begin{aligned}\\& \int_{=0}^1\left(e^{\frac{x}{y}} y\right) \| \begin{array}{l}y \\y^2\end{array} d y \\& \int_{=0}^1(e y)-\left(e^y y\right) d y\end{aligned}$$\)

The following section uses integration by parts,

\($$\begin{aligned}& \mathbf{u}=\mathbf{y}, \\& d v=e^y\end{aligned}$$$$\mathrm{d} u=1$$$$v=e^y$$$$\begin{aligned}& =\left(\left(\frac{e y^2}{2}\right)-\left(y e^y\right)\right)||_0^1+\int_0^1 e^y d y \\& = \\& =\frac{e}{2}-e+e-1=\frac{e}{2}-1\end{aligned}$$\)

Therefore, when we reverse the integration and evaluation orders, we obtain: \(\frac{c}{2}-1\)

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Correct question:

Evaluate the integral by reversing the order of integration.

8 0 2 3ex4 dx dy 3 y

Answer:

\(y+2=\frac{5}{2} (x-6)\)

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

\(y+2=\frac{5}{2} (x-6)\)

Answer:

77

Step-by-step explanation:

So, for long division we have 38.5/0.5

     60+16+1 =77

0.5/38.5

     -30= (0.5/8.5)

                     -8.0=(.5/.5)

                               -.5=0

Answer:

in respect to the x-axis= (2,-9)

in respect to the y-axis= (-2,9)

in respect to origin= (-2,-9)

Step-by-step explanation:

-When you flip it over the x axis the y point becomes negative.

-When you flip it over the y-axis the x point becomes negative.

-When you flip it over the origin the x and y point become negative.

Sorry this isn't the best explanation.

We can actually deduce here that the biggest advantage of correlational research is: The use of important variables in a real-world setting.

A correlational research is actually known to be the research that investigates relationships between two variables or more. It does this without the researcher trying to manipulate or control any of the variables.

Correlational research is known to be a non-experimental type of quantitative research. In this research, the researcher assesses the statistical relationship that exists between the variables.

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The probability that the sum is strictly larger than 21 is P = 0.46

We already have a 10 and a 4, so: 10 + 4 = 14

To sum more than 21, we need to draw at least an 8.

On the deck there are:

So, 23 out of 50 cards meet our requirements. So the probability will be:

P = 23/50 = 0.46

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When measuring in inches, it's important to know how to read fractions accurately.

For example, if you see a mark halfway betweentwo-inchh marks, that would represent 1/2 of an inch. Here are the correct readings for each inch measurement:

1/16 inch = 1/16
1/8 inch = 1/8
3/16 inch = 3/16
1/4 inch = 1/4
5/16 inch = 5/16
3/8 inch = 3/8
7/16 inch = 7/16
1/2 inch = 1/2
9/16 inch = 9/16
5/8 inch = 5/8
11/16 inch = 11/16
3/4 inch = 3/4
13/16 inch = 13/16
7/8 inch = 7/8
15/16 inch = 15/16

Remember, it's important to reduce fractions to their lowest terms to avoid errors in measurement. And when writing down your measurements, make sure to use the correct format of 3-7/8 or 1-15/16, as incorrect formatting will be counted as wrong.

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Place the correct reading for each inch measurement in the blank space provided. Reduce fractions to their lowest terms.

For example, 10/16 = 5/8.

Format of answers to be 3-7/8 or 1-15/16.

Incorrect format will be counted WRONG!

Inch marks not required.

Answer:

0

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

give brainliest or vanish

Answer:

option b 27 is the answer

The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is \(\dfrac{1}{2}\)

Given the limit of a function expressed as:

\(\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}\)

First, we need to substitute x = 3 into the function to have:

\(=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)\)

Apply l'hospital rule on the function:

\(=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\\)

Subtitute x = 3 into the result

\(=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}\)

Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is \(\dfrac{1}{2}\)

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Answer:

1/2

Step-by-step explanation:

i am in your walls

The function \(f(x) = (1/15)x^6 + x^5 + 4x^4\) has inflection points at x = -4 and x = -6.

To find the x-values where the function\(f(x) = (1/15)x^6 + x^5 + 4x^4\) has an inflection poin:

We need to follow these steps:
1. Find the first derivative (f'(x)) of the function.
2. Find the second derivative (f''(x)) of the function.
3. Set f''(x) equal to zero and solve for x to find the potential inflection points.
Step 1: Find the first derivative f'(x).
\(f'(x) = (1/15)(6x^5) + 5x^4 + 16x^3\)
Step 2: Find the second derivative f''(x).
\(f''(x) = (1/15)(30x^4) + 20x^3 + 48x^2\)
Step 3: Set f''(x) equal to zero and solve for x.
\(0 = (1/15)(30x^4) + 20x^3 + 48x^2\)
\(0 = 2x^4 + 20x^3 + 48x^2\)
Factor out the common factor (\(2x^2\)):
\(0 = 2x^2(x^2 + 10x + 24)\)
Now, solve for x in the quadratic equation (\(x^2 + 10x + 24 = 0\)).

You can use the quadratic formula, factoring, or any other method to find the x-values.
Using the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
x = (-10 ± √(100-96)) / 2
x = (-10 ± √4) / 2
x = -5 ± 1
So, the two x-values where f(x) may have an inflection point are x = -4 and x = -6.

To verify these are inflection points, you can check if the concavity changes at these points by analyzing the signs of f''(x) in the intervals around these points.
In conclusion, the function\(f(x) = (1/15)x^6 + x^5 + 4x^4\) has inflection points at x = -4 and x = -6.

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Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.

To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.

To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.

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Answer:

the answer is segment AE

The percentage of pies sold that were apples or cherry is 53%.

The given parameters are:

1.apple pies = 32

2.pumpkin pies = 25

3.cherry pies = 21

4.chocolate pies = 18

The total number of pies  shop sells is:

Total = 32 + 25+21+18=96

Total = 96

The percentage of apples or cherry  pipes is calculated as:

Percentage = (apple + cherry)/Total

Percentage = (32 + 21)/100

the quotient

percentage = 0.53

Percentage = 53%

Hence, the percentage of pies sold that were apples or cherry is 53%.

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Answer:

Step-by-step explanation:

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

Wyzant

SOLVE IT

Chi Y. asked • 07/27/18

The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?

There is no format. I just the answer ASAP.

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2 Answers By Expert Tutors

By:

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Andy C. answered • 07/27/18

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

Here is the algebraic solution:

T is the tens digit

O is the ones digit

T+O = 14

So O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.

a.)  Based on the scatter plot, the estimated average daily maximum temperature in Fort Frances in July is  around 25°C.

b) There are four communities with average daily maximum temperatures greater than 22°C. Their latitudes are approximately:

Toronto: 44°N

Windsor: 42°N

London: 43°N

Ottawa: 45°N

c.)

. Based on the scatter plot, there seems to be a relationship between  latitude and temperature .

As latitude increases, temperature generally decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler.

Latitude is described as a coordinate that specifies the north–south position of a point on the surface of the Earth or another celestial body.

there are some exceptions to this general trend that states that as latitude increases, temperature  decreases  because places closer to the equator receive more direct sunlight and therefore tend to be warmer, while places farther away receive less direct sunlight and tend to be cooler. which could be due to other factors such as elevation, proximity to water, or local weather patterns.

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Given a 6.5-meter tall flagpole and a wire forming a 30-degree angle with the ground, the length of the wire is approximately 12 meters which is determined using trigonometry.

In this scenario, we have a right triangle formed by the flagpole, the wire, and the ground. The flagpole's height represents the vertical leg of the triangle, and the wire acts as the hypotenuse.

To find the length of the wire, we can use the trigonometric function cosine, which relates the adjacent side (height of the flagpole) to the hypotenuse (length of the wire) when given an angle.

Using the given information, the height of the flagpole is 6.5 meters, and the angle between the wire and the ground is 30 degrees. The equation to find the length of the wire using cosine is:

cos(30°) = adjacent/hypotenuse

cos(30°) = 6.5 meters/hypotenuse

Rearranging the equation to solve for the hypotenuse, we have:

hypotenuse = 6.5 meters / cos(30°)

Calculating this value, we find:

hypotenuse ≈ 7.5 meters

Rounding to two decimal places, the length of the wire is approximately 12 meters.

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The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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