Big points if you get these answers correct. Will mark brainliest for fist correct answer. URGENT

The expression 33 - 9 + 40 - (30 + 15) simplifies to 19.

To solve the expression 33 - 9 + 40 - (30 + 15), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. Inside the parentheses, we have 30 + 15, which equals 45.

The expression now becomes: 33 - 9 + 40 - 45.

2. Next, we perform the subtraction within the parentheses, which is 33 - 9, resulting in 24.

The expression now becomes: 24 + 40 - 45.

3. Now, we proceed with the addition from left to right. Adding 24 and 40 gives us 64.

The expression now becomes: 64 - 45.

4. Finally, we perform the subtraction, 64 - 45, which equals 19.

Therefore, the value of the expression 33 - 9 + 40 - (30 + 15) is 19.

In summary, we simplified the expression using the order of operations. First, we evaluated the expression within the parentheses, then performed the remaining addition and subtraction operations in the correct order. The result is 19.

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The question probable may be:

33-9+40-(30+15) = ??

Replace ( ?? ) with the correct answer and explaination​

Answer: 16 times

Step-by-step explanation:

So in this situation, an equation helps!

634 = 38x

Where 634 is the number of gallons of gas she has; 38x is how much she needs to mow her lawn each time.

Now simply divide!

If we round we get x= 16.68 however this is not the correct answer because you can't mow 68/100 of a lawn! So even though 0.68 is greater than 0.5, we would round down to 16.

Answer:

Step-by-step explanation:

C

==========================================================

Explanation:

There are two methods you could use. The first method involves the remote interior angle theorem. This says the remote interior angles (the two y angles) add to the exterior angle (130)

y+y = 130

2y = 130

y = 130/2

y = 65

--------

Or we could find the interior angle that is adjacent to the 130 degree angle. This is 180-130 = 50 degrees. So this is the top interior angle of the triangle. For any triangle, the three interior angles always add to 180

angle1+angle2+angle3 = 180

y+y+50 = 180

2y+50 = 180

2y = 180-50

2y = 130 ... from here on out, the steps are the same as above

y = 130/2

y = 65

So this helps show how the remote interior angle theorem is set up

The measure of variability that is used when the statistic with the greatest stability is sought is the Standard Deviation.

The Standard Deviation takes into account the dispersion of data points from the mean and provides a measure of the average distance between each data point and the mean. It is widely used in statistical analysis and is considered a robust measure of variability, providing a more precise and stable measure compared to other measures such as Mean Deviation, Quartile Deviation, or Range.

The Standard Deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It takes into account the differences between individual data points and the mean of the dataset. By calculating the average distance between each data point and the mean, it provides a measure of how spread out the data is.

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Aisha uses 98 teaspoons of sugar in a cup of hot tea. This can be calculated by multiplying Kiki's sugar amount (14 teaspoons) by 7, as Aisha uses 7 times as much sugar.

We are given that Kiki uses 14 teaspoons of sugar in a cup of hot tea. To find out how much sugar Aisha uses, we need to determine the amount that is 7 times greater than Kiki's usage. To do this, we multiply Kiki's sugar amount by 7.

7 * 14 = 98

Therefore, Aisha uses 98 teaspoons of sugar in a cup of hot tea. The multiplication of Kiki's sugar amount (14 teaspoons) by 7 results in the total amount of sugar used by Aisha. By using the fraction of 7/1 (since Aisha uses 7 times as much sugar as Kiki), we can also view the calculation as (14 teaspoons * 7/1 = 98 teaspoons), which confirms the same result.

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The other quantity needed to calculate the average speed is time.

Average speed is the total distance travelled per time. It is how fast an object moves with respect to time.

Average speed = total distance / total time

For example, if the distance travelled is 100km and the total time is 10 hours, average speed is 10 km/hr (100 / 10).

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Answer:

The expression for 7 sundaes cost __ dollars will be: 7n

Thus, option C i.e. 7n is correct.

Step-by-step explanation:

Given

A sundae cost n dollars.

To determine

7 sundaes cost _____ dollars?

It is stated that A sundae cost n dollars, it means:

The cost of one sundae = n dollars

Thus,

The cost of 7 sundaes can be calculated by multiplying 7 by n dollars.

Therefore,

The cost of 7 sundae = 7n dollars

Hence, the expression for 7 sundaes cost __ dollars will be: 7n

Thus, option C i.e. 7n is correct.

The amount that Xavier Knox's employer deducts from his paychecks for state income tax is b. $83.27

First find his taxable income:

= Annual salary - Personal exemptions

= 61, 100 - 4, 000

= $57, 100

The state income tax per year is:

= 57, 100 x 3.5% state income tax rate

= $1, 998.50

The semimonthly state income tax deducted is:
= 1, 998.50 / (12 months x twice a month)

= $83.27

In conclusion, on a semimonthly basis, $83.27 is deducted for state income tax.

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Answer:

43°

Step-by-step explanation:

Because it is a parallelogram, there is 2 pairs of parallel lines, therefore, opposite angles are equal.

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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According to the given image, the correct option is (C) "a translation two units to the left and two units down, followed by a reflection over the x-axis."

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.

In particular, the change of algebraic equations is a typical kind of algebraic problem.

As seen on the graph, the square PQRS has translated 2 units to the left and 2 units to the right before being reflected on the x-axis.

an interpretation Following a reflection across the x-axis, there are 2 units down and 2 units to the left. As a result, choice C is the right response.

Therefore, according to the given image, the correct option is (C) "a translation two units to the left and two units down, followed by a reflection over the x-axis."

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Complete question:

Squares PQRS and TUVW are shown below. Which sequence of transformations of square

PQRS shows that square PQRS is congruent to square TUVW.

A) A translation 2 units up and 2 units to the right, then a reflection over the x-axis

B) A translation 2 units up and 2 units to the right, then a reflection over the y-axis

C) A translation 2 units down and 2 units to the left, then a reflection over the x-axis

D) A translation 2 units down and 2 units to the left, then a reflection over the y-axis

Answer:

46

Step-by-step explanation:

You have to do IVU+TUI=TUV

so... x+49+x+63=106

the true difference in proportions between the two time periods is unlikely to be zero.

(a) The sample proportion from the first poll is 98/140 = 0.70, and the sample proportion from the second poll is 80/100 = 0.80.

(b) The difference between the two sample proportions is 0.80 - 0.70 = 0.10.

(c) The standard error of the difference in proportions can be calculated as follows:

SE = sqrt(p1(1-p1)/n1 + p2(1-p2)/n2)

= sqrt(0.70*(1-0.70)/140 + 0.80*(1-0.80)/100)

= 0.0808 (rounded to 4 decimal places)

(d) The critical z value for a 99% confidence level is 2.576 (rounded to 3 decimal places).

(e) The null hypothesis is that there is no difference in the proportion of registered voters who support Eric Adams' candidacy between the two time periods. Mathematically, this can be represented as:

H0: p1 = p2

(f) The 95% confidence interval for the difference in population proportions can be calculated as follows:

CI = (p1 - p2) ± zSE

= (0.70 - 0.80) ± 1.960.0808

= (-0.2006, -0.0394) (rounded to 4 decimal places)

(g) The confidence interval does not include zero, which suggests that the difference in proportions between the two time periods is statistically significant at the 95% confidence level. With 99% probability, we can say that the change in these registered voters' preferences is significant, meaning that there was a change in the proportion of registered voters who support Eric Adams' candidacy over the time period. We know this because zero is not contained within the confidence interval, indicating that the true difference in proportions between the two time periods is unlikely to be zero.

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Answer:

45g

Step-by-step explanation:

The amount of salt left once the whole water is evaporated can be calculated as follows

= 12% × 375

= 12/100 × 375

= 0.12×375

= 45

Hence 45g of salt is left after the evaporation of water

Answer:

45g

Step-by-step explanation:

Using the arithmetic operations -

a) For the expression \((2.3\times10^4) \times (1.5\times10^{-2})\) the value is 345.

b) For the expression \((3.6\times10^{-5}) \div (1.8\times10^2)\) the value is \(2 \times 10^{-56}\).

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

a) The scientific notation expression is given as -

\((2.3\times10^4) \times (1.5\times10^{-2})\)

Using the rule \(a \times 10^m \times b \times 10^n = ab \times 10^{(m+n)}\) -

\((2.3 \times 1.5) \times (10^4 \times 10^{-2})\)

Apply the arithmetic operation of multiplication -

= 3.45 x 10²

= 345 (in standard form)

Therefore, the value is obtained as 345.

b) The scientific notation expression is given as -

\((3.6\times10^{-5}) \div (1.8\times10^2)\)

Using the rule \(\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{(m-n)}\) -

\(\frac{3.16}{1.8} \times \frac{10^{-54}}{10^2}\)

Apply the arithmetic operation of division -

\(2 \times 10^{-56}\)

\(2 \times 10^{-56}\)(in standard form)

Therefore, the value is obtained as \(2 \times 10^{-56}\).

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Moving Average and Exponential Smoothing is a method used in a forecasting model for a time series when a trend, seasonal, or cyclical effect is not significant.

When trend, seasonal, or cyclical effects are not significant in a time series, the most appropriate method for forecasting is typically the Moving Average or Exponential Smoothing method. The Moving Average method involves calculating the average of a set of previous observations to forecast the next data point.

The number of previous observations to include in the average is determined by the chosen window size, which can be adjusted based on the level of smoothing desired. On the other hand, the Exponential Smoothing method assigns more weight to recent observations and less weight to older observations. This method assumes that recent data points are more relevant for forecasting future values than older data points.

The level of smoothing can be controlled by adjusting the smoothing parameter. Linear regression and Holt-Winters methods are better suited for time series with significant trends, and seasonal, or cyclical effects. Holt-Winters is a more complex method that considers both trend and seasonal effects in addition to the level of smoothing.

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The depth of the lake Powell in July is 515.1 feet.

Given that, in January, the maximum water depth of Lake Powell, AZ was 534 feet and that the water evaporates at a rate of 2.7 feet per month.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let y be the maximum depth of Lake Powell.

a) The given equation for the given situation is

\(y=534-2.7t\)

b) The depth of the lake be in April:

Put t=5 in the obtained equation is

\(y=534-2.7(5)\)

⇒ \(y=534-13.5\)

⇒ \(y=520.5\) \(feet\)

c) The depth of the lake be in May:

Put t=7 in the obtained equation is

\(y-534-2.7(7)\)

⇒ \(y=534-18.9\)

⇒ \(y=515.1\) \(feet\)

Therefore, the depth of the lake Powell in July is 515.1 feet.

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What these expressions have in common is that their exponents multiply to 16

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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The hottest temperature on the edge of the elliptical plate is 32 and the coldest temperature is 8.

The edge of the elliptical plate is given by the equation \(x^2 + xy + y^2 = 4.\)

To find the hottest and coldest temperatures on this edge, we need to find the maximum and minimum values of the function t(x,y) subject to this constraint.

One way to solve this problem is to use Lagrange multipliers. Let's define a new function F(x,y,λ) as follows:

\(F(x,y,\lambda) = 16x^2 + y^2 + \lambda(x^2 + xy + y^2 - 4)\)

The critical points of F(x,y,λ) occur when the partial derivatives with respect to x, y, and λ are all equal to zero:

∂F/∂x = 32x + 2λx + λy = 0

∂F/∂y = 2y + 2λy + λx = 0

∂F/∂λ =\(x^2 + xy + y^2 - 4\)= 0

Solving these equations simultaneously, we get:

\(x = \pm \sqrt(2), y = \pm \sqrt(2)\), λ = 8/3

The function t(x,y) takes on its maximum value of 32 at the points \((\sqrt(2), \sqrt(2))\) and \((-\sqrt(2), -\sqrt(2))\) and its minimum value of 8 at the points \((\sqrt(2), -\sqrt(2))\) and \((-\sqrt(2), \sqrt(2)).\)

Therefore, the hottest temperature on the edge of the elliptical plate is 32 and the coldest temperature is 8.

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Answer: -8

Step-by-step explanation:

We see on the graph that there are two points located y=4. They are (7,4) ( -8,4).

So the other value other than 7 is -8!

Option C is the correct option for the given problem; let’s consider all options and identify the different reasons in the number list.

From the second element (index 1) through the last element, this procedure iterates through the list of numbers using a for loop. It determines whether the current number is lower than the previous number after each repetition. If it is, the process gives a prompt False response, meaning that the list is not growing.

The procedure returns True, indicating that the list is growing, if the for loop concludes without running into a number that is less than the number it encountered before.

According to the issue definition, this technique implies the list has at least two elements. This guarantees that the for loop will always have a previous number to compare to.

Comments are written in italic to explain the code

Line 1: PROCEDURE Is Increasing(numberList)//start Is Increasing procedure with a list number List

Line 2: {//start procedure

Line 3: count<-2//set count to be 2

Line 4: REPEAT UNTIL (count -> LENGTH(numberList)//repeat from element 2 to last

Line 5: {//start repeat

Line 6: IF(numberList[count] < numberList[count-1]//if previous number is greater

Line 7: {//start if

Line 8: RETURN(true)//return true as next is greater than

Line 9: }//end if

Line 10: count<- count +1//increment to next element

Line 11: }//end repeat

Line 12: RETURN (false)//return false

Line 13: }//end procedure

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Complete question is:

A list of numbers is considered increasing if each value after the first is greater than or equal to the preceding value. The following procedure is intended to return true if numberList is increasing and return false otherwise. Assume that numberList contains at least two elements. PROCEDURE isIncreasing(numberList) Tue 61 Line 1: Line 2: { Line 3: count 2 Line 4: REPEAT UNTIL(count > LENGTH(numberList)) Line 5: } IF(numberList[count] < numberList[count - 1]) Line 6: Line 7: To entd Line 8: RETURN(true) :80 onij { count count + 1 Line 9: Line 10: er onil Line 11: } Line 12: RETURN(false) BELAS(ConuE) Line 13: } Which of the following changes is needed for the program to work as intended? Lines 8 and 12 should be interchanged. c. In line 6, < should be changed to >=. a. b. Lines 10 and 11 should be interchanged. d. In line 3, 2 should be changed to 1. 3.

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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The value of the integral is 8pi/5^5. To evaluate this expression, we need to set up the triple integral in spherical coordinates, since the ball has a spherical shape with center at the origin.

We have:

yyyb sx^2 + y^2 + z^2 dV

In spherical coordinates, we have:

x = r sin(phi) cos(theta)
y = r sin(phi) sin(theta)
z = r cos(phi)

where r is the distance from the origin to the point (x, y, z), phi is the angle between the positive z-axis and the line connecting the origin to the point, and theta is the angle between the positive x-axis and the projection of the line onto the xy-plane.

Since the ball has center at the origin and radius 5, we have:

0 <= r <= 5
0 <= phi <= pi
0 <= theta <= 2pi

Using the Jacobian transformation, we have:

dV = r^2 sin(phi) dr dphi dtheta

Substituting into the integral, we have:

yyyb sx^2 + y^2 + z^2 r^2 sin(phi) dr dphi dtheta

= yyyb s(r^4 sin(phi)) dr dphi dtheta

= s(0 to 5) s(0 to pi) s(0 to 2pi) r^4 sin(phi) dr dphi dtheta

= s(0 to 5) r^4 dr s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) s(0 to pi) sin(phi) dphi s(0 to 2pi) dtheta

= (1/5^5) (2)(2pi) s(0 to pi) sin(phi) dphi

= (1/5^5) (2)(2pi) (2)

= 8pi/5^5

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Answer:

Step-by-step explanation:

The equation 12sec²x - 16 = 0 is not a polynomial equation and cannot be factored into the product of two or more polynomials.

To solve for x, we need to isolate sec²x by adding 16 to both sides and then dividing by 12:

12sec²x - 16 + 16 = 0 + 16

12sec²x = 16

sec²x = 16 / 12

sec²x = 4/3

Now that we have isolated sec²x, we can find x by finding the inverse secant of 4/3.

Note that the inverse secant is a multi-valued function, so there may be multiple solutions for x, which can be obtained using a calculator or tables of trigonometric functions.

Answer:

Yes

Step-by-step explanation:

Because they both have 90° angles forming a square

Answer:

Yes, because, both ten divided by eight and fifteen divided by twelve equals one and twenty-fifths.

Explanation:

10 / 8 = 1.25

15 / 12 = 1.25

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