To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis journey total?

Answer:

22

Step-by-step explanation:

add 35 to the other side (to cancel out the negative) then you have 44, then add 4x to the other side so you have 2x then divide both sides by 2. x=22

Given:

To find: The product of two complex numbers:

Explanation:

On expansion we get,

As we know,

So, we w

Answer:

A. This shape is a rectangular prism — a rectangle with a third dimension of depth. In technical terms, it is "a polyhedron with two congruent and parallel bases." - BYJU's Maths

B. We could find the area of its net, since the surface area of a shape is the sum of the areas of its sides.

to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

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Answer:

1. -1/2x+ 11.5

2. -1/3x-8.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The bar graph shown represents data for different days of the week.

The MEDIAN is the value that occurs at the middle of the data set.

From the information given in the bar graph, the median value occurs between Wedneday and Thursday, that is, between 15000 steps and 11900 (approximately) steps. That would be;

Observe that the number of steps for Thursday is an approximation.

Therefore the fourth option best represents the Median.

ANSWER:

13,244 best represents the Median

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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A. 3/4 of 1 is .75 and .75+.75=1.5

Answer:

no i will not. hdjsjdjdidididididjjdjdjdiwkd

Step-by-step explanation:

DUMMY

(a) The probability that the card is even and divisible by 3 is 1/15 (b) The probability that the card is even or divisible by 3 is 11/15.

To find the probability that the card is even or divisible by 3, we need to add the probability of drawing an even card to the probability of drawing a card divisible by 3.

Then subtract the probability of drawing a card that is both even and divisible by 3 (since we don't want to count it twice).

The even cards in the deck are 2, 4, 6, 8, 10, 12, and 14, so the probability of drawing an even card is 7/15.

The cards divisible by 3 are 3, 6, 9, 12, and 15, so the probability of drawing a card divisible by 3 is 5/15.

The card that is both even and divisible by 3 is 6, so the probability of drawing this card is 1/15.

Therefore, the probability of drawing a card that is even or divisible by 3 is:

P(even or divisible by 3) = P(even) + P(divisible by 3) - P(even and divisible by 3)

= 7/15 + 5/15 - 1/15

= 11/15

So the probability that the card is even or divisible by 3 is 11/15.

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Answer:

110 decreased by 30% is 77.

Step-by-step explanation:

To do this, what we do is simply take 30% of 110 and subtract it from 110.

30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.

110*30 = 3300

3300 / 100 = 33

110 - 33 = 77

110 decreased by 30% is 77.

The equation for the curve in terms of sin(θ) and cos(θ) is 4cos(θ) = 8sin(θ), the curve described by the given equation is a line.

The given equation, \(r^2cos(2\theta) = 64\), can be rewritten in terms of sin(θ) and cos(θ) using trigonometric identities.

By substituting\(r^2 = 4(cos^2(\theta) + sin^2(\theta))\) and\(cos(2\theta) = cos^2(\theta) - sin^2(\theta)\), we can simplify the equation to 4cos(θ) = 8sin(θ).

To find the Cartesian equation for the curve, we can convert the polar equation to rectangular coordinates.

Using the relationship between polar and rectangular coordinates (x = rcos(θ), y = rsin(θ)), we substitute \(r^2 = x^2 + y^2\) and rewrite the equation as 4x = 8y. This equation represents a line.

Therefore, the curve described by the given equation is a line.

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The mathematical equation E(y) = 0 + 1x is known as the regression equation.

In the context of regression analysis, the regression equation represents the relationship between the independent variable (x) and the expected value of the dependent variable (y). The equation is written in the form of y = β0 + β1x, where β0 is the y-intercept and β1 is the slope of the regression line.

The regression equation is the fundamental equation used in regression analysis to model and predict the relationship between variables. It allows us to estimate the expected value of the dependent variable (y) based on the given independent variable (x) and the estimated coefficients (β0 and β1).

The coefficient β0 represents the value of y when x is equal to 0, and β1 represents the change in the expected value of y corresponding to a one-unit change in x. By estimating these coefficients from the data, we can determine the equation that best fits the observed relationship between the variables.

The regression equation is derived by minimizing the sum of squared residuals, which represents the discrepancy between the observed values of the dependent variable and the predicted values based on the regression line. The estimated coefficients are obtained through various regression techniques, such as ordinary least squares, which aim to find the line that minimizes the sum of squared residuals.

Once the regression equation is established, it can be used to make predictions and understand the relationship between the variables. By plugging in different values of x into the equation, we can estimate the corresponding expected values of y. This allows us to analyze the effect of the independent variable on the dependent variable and make predictions about the response variable based on different levels of the predictor variable.

In summary, the mathematical equation E(y) = 0 + 1x is known as the regression equation. It represents the relationship between the independent variable and the expected value of the dependent variable. By estimating the coefficients, the equation can be used to make predictions and analyze the relationship between the variables. The regression equation is a fundamental tool in regression analysis for understanding and modeling the relationship between variables.

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Answer:

that is right the greater one is 1.349

Step-by-step explanation:

bc the number after the decimal 3 is bigger than 1

The irrational numbers among these given are:

\(\sqrt{83}, 24\pi, 90.790170..., \sqrt{109}\)

The remaining numbers are all rational.

The irrational numbers in this problem are:

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Answer:

what table?

Step-by-step explanation:

The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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Answer:

36

Step-by-step explanation:

Answer:

diameter = 36 inches

Step-by-step explanation:

diameter = circumference / π

diameter = 113.1/3.14 = 36 inches

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➝\(\: \frac{3x}{5} = \frac{x + 1}{2} \)

➝\(\:2 \times 3x = 5(x + 1)\)

➝\(\:6x = 5x + 5\)

➝\(\:6x - 5x = 5\)

➝\(\:x = 5\)

✒\( \:\frac{3 \times 5}{5} = \frac{5 + 1}{2} \)

✒\(\: \frac{15}{5} = \frac{6}{2} \)

✒\(\:3 = 3\)

✒\(\:L. H. S. =R. H. S. \)

Hence verified.

\(\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆\)

Answer:

x = 9

m∠1 = m∠2 = 54°

Step-by-step explanation:

Two lines r and s are the parallel lines and a transversal line is intersecting these lines at two distinct points.

a). ∠1 ≅ ∠2 [Corresponding angles]

    Therefore, m∠1 = m∠2

    (63 - x)° = (72 - 2x)°

    2x - x = 72 - 63

    x = 9

b). m∠1 = (63 - x)°

            = 63 - 9

            = 54°

    m∠2 = (72 - 2x)°

             = 72 - 18

             = 54°

Answer:

x^2 - 30 + 224 ≥ 0  

the amount of cookies Jessica has more than Martha is at least two

Step-by-step explanation:

J + M = 30

x - 12 < 80

Answer:

La nota de Carolina es 15 puntos.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita, relacionadas mediante las ecuaciones.

En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas.  Al reemplazar en las ecuaciones, deben dar la solución planteada.

En este caso se debe plantear un sistema de ecuaciones, donde las incógnitas son:

Ambas notas juntas es igual a 34 puntos. Expresado matemáticamente es:

x + y= 34

Se sabe que Carmen obtuvo 4 puntos más que Catalina. Esto es:

y= x + 4

Entonces el sistema de ecuaciones a resolver es:

\(\left \{ {{x+y=34} \atop {y=x+4}} \right.\)

A través del método de sustitución debes despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso, ya tienes despejada la incógnita y en la segunda ecuación. Por lo que sustituyes esta expresión en la primer ecuación:

x+ x+4=34

Resolviendo obtienes:

x + x= 34 - 4

2*x=30

x= 30÷ 2

x=15

Sustituyendo este valor en la segunda ecuación obtienes:

y= x+4

y= 15 +4

y= 19

Recordando que "x" representa la nota de Carolina e "y" la nota de Carmen, entonces la nota de Carolina es 15 puntos y la nota de Carmen es 19 puntos.

Answer:

52

Step-by-step explanation:

-(10 + (-6)) - ((-55) + 1 - 2)

(-10 + 6) + (55 - 1 + 2)

(-4) + (56) = 52

I hope this helps!

Answer:

23

Step-by-step explanation:

232323

3

3

3

3

23

23

3

this isnt correct btw

This question is about addition and subtraction

"our Eagles ran for 9 yards on the 1st down" means they moved forward by 9 yards = 9

"On the 2nd down, they lost 7 yards" means they moved backward by 7 yards = -7

"On the 3rd down, they ran for 35 yards" means they moved forward by 35 yards = 35

Total gain = distance covered (1st down + 2nd down + 3rd down)

Total gain = 9 - 7 + 35 = 37 yards

The expression representing the difference between the areas of the two circles is π[(r₁)² - (r₂)²], where the subscripts (₁ and ₂) indicate the specific radii of the circles.

In the given question, we are asked to find the difference between the areas of two circles with radii denoted as r₁ and r₂.

To calculate the area of a circle, we use the formula A = πr², where A represents the area and r represents the radius of the circle.

In this case, we can calculate the area of the first circle as A₁ = π(r₁)² and the area of the second circle as A₂ = π(r₂)².

To find the difference between the areas, we subtract the area of the second circle from the area of the first circle:

Area difference = A₁ - A₂ = π(r₁)² - π(r₂)²

Factoring out π, we can rewrite it as:

Area difference = π[(r₁)² - (r₂)²]

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at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.

the vertex is then at (-3, 5) which narrows down the answer to F.

Answer:

it's orange

Step-by-step explanation:

because black is (x-<+17)

and yellow is 61 that means that y =orange

Answer:

$2250

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.75%/100 = 0.0275 per year,

then, solving our equation

I = 2250 × 0.0275 × 8 = 495

I = $ 495.00

The simple interest accumulated

on a principal of $ 2,250.00

at a rate of 2.75% per year

for 8 years is $ 495.00.

True. The given limit satisfies the criteria for applying L'Hôpital's rule.

To determine if L'Hôpital's rule can be applied, we need to check if the limit is of the form 0/0 or ∞/∞.

In this case, the limit is of the form 0/0 because as x approaches 0, the numerator x approaches 0 and the denominator √(3x^2 + 1) also approaches 0.

This indicates that L'Hôpital's rule can be applied.

L'Hôpital's rule states that if we have a limit of the form 0/0 or ∞/∞, we can take the derivative of the numerator and the derivative of the denominator separately, and then compute the limit of their quotient.

Applying L'Hôpital's rule to the given limit, we differentiate the numerator and the denominator with respect to x.

The derivative of the numerator x is 1, and the derivative of the denominator \(\sqrt{3x^2 + 1}\) is \(6x/(2\sqrt{3x^2 + 1}).\)

Taking the limit of their quotient as x approaches 0, we have:

\(1/(6x/(2\sqrt{3x^2 + 1}))\)

Simplifying further, we get:

\((2\sqrt{3x^2 + 1})/(6x)\)

Now, plugging in x = 0, we find that the limit is equal to 0/0.

This suggests that we can apply L'Hôpital's rule again.

Continuing the process, we differentiate the numerator and denominator again.

The derivative of the numerator 2√(3x² + 1) is (6x)/(√(3x² + 1)), and the derivative of the denominator 6x is 6.

Taking the limit of their quotient as x approaches 0, we have:

\((6x/(\sqrt{3x^2 + 1}))/6\)

Simplifying further, we get:

\((x)/(\sqrt{3x^2 + 1})\)

Now, plugging in x = 0, we find that the limit is equal to 0.

Therefore, L'Hôpital's rule can be successfully applied, and the given limit evaluates to 0.

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