Ms. Zander is saving up for a new sweater that costs $75. She has already saved $25 and will save $
How many weeks will it take her to have at least enough money for the sweater?

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

Explanation:

Use of a calculator makes quick work of this type of problem

5.25 + 2.98 = 8.23

10.00 - 8.23 = 1.77

-----------

If you want to do this using mental math, then one trick is to do this:

Think of 2.98 as 3.00, then add this to 5.25 to get 8.25. Notice that we're 2 cents too high (because of the jump from 2.98 to 3.00), so we need to subtract 2 cents from 8.25 to get 8.23

So that's a fairly quick way to add those two numbers in your head. The more practice you get, the quicker it will happen.

As for the subtraction part, you have a number of routes. Possibly a quick way is to jump from 23 cents to 30 cents (plus 7), then jump from 30 cents to 100 cents (plus 70). Therefore, we have 7+70 = 77 as the overall jump to get us to the nearest dollar. But we'll need one more extra dollar to end up at $10 exactly.

In other words, the "plus 77 cents" portion only gets us from $8.23 to $9, so that's why we need that extra dollar in change. Therefore, we've computed $1.77

I apologize for being a bit wordy. Despite being a bit long-winded, this mental math should come fairly quickly after enough practice.

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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The expression is simplified to x = -7/5

Index forms are simply described as mathematical forms that are used to represent numbers that are two large or small in more convenient forms.

They are also called the scientific notation or standard forms.

From the information given, we have that;

27^2x=3^x-7

Find the cube value of 27 and subsitute the value, we get;

3³⁽²ˣ⁾ = 3ˣ⁻⁷

cancel the common values, we get;

3(2x) = x - 7

expand the bracket

6x = x - 7

collect like terms

5x = -7

x = -7/5

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Hello

chinese yuan        euro           dollar

         1                    0,13              1,09

        40                                         ?

? = 40 x 1,09/1 = 43,6

43,6 Chinese yuan =  $43,6

5.6$

we have 1 yaun=0.13 euro

1 euro=1.09 dollars

so first we will convert 40 yuan into euros for that we have l yaun=0.13 euro from this if l yaun=0.13 euro then how much is 40 yuan

l yaun=0.13 euro

40 yuan = ?

crisscross then we get

?=40yuan×0.13euro÷1yuan

?=5.2 euros

1euros =1.09 dollars

5.2euros =?

?=5.2 euros ×1.09$÷1euros

?=5.67$

Answer:

A

Step-by-step explanation:

edge 2020

The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

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Answer:

2/5

Step-by-step explanation:

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

isD  

Step-by-step explanation:

Answer:

D) {-1200 < p < 12,000}

Step-by-step explanation:

have a good day

The value of the function in an (nT, (n+1)T) interval is either A or -A, depending on the outcome of the random process. Therefore, the value of the function in one interval does not depend on the values in other intervals.

The random process x(t) is defined as A with prob. 1/2 - A with prob. 1/2 x(t) = { nT < t < (n + 1)T, 2 where the value of the function in an (nT, (n+1)T) interval is independent of the values in other intervals.

Definition of a random process A random process is a type of mathematical model that contains a collection of time-varying random variables. These variables can be used to define the state of a physical system or a data signal over time. It is similar to a time series, but each value is a random variable rather than a deterministic quantity.

Definition of a stationary process A stationary process is one in which the statistical properties of the process do not change over time. This means that the mean, variance, and autocorrelation functions are all constant. A stationary process is easier to analyze than a non-stationary process because the statistical properties do not change over time.

Definition of an ergodic process an ergodic process is one in which the statistical properties of the process can be estimated from a single realization of the process. This means that the sample average is equal to the ensemble average. An ergodic process is useful because it allows us to estimate the statistical properties of a process from a single realization rather than having to generate many realizations and average them.

What is the probability of x(t) = A?The probability of x(t) = A is 1/2 because the process is defined as A with probability 1/2 and -A with probability 1/2. Therefore, the probability of x(t) = A is equal to the probability that the process is defined as A, which is 1/2.What is the probability of x(t) = -A?The probability of x(t) = -A is also 1/2 because the process is defined as A with probability 1/2 and -A with probability 1/2.

Therefore, the probability of x(t) = -A is equal to the probability that the process is defined as -A, which is 1/2.What is the value of the function in an (nT, (n+1)T) interval?The value of the function in an (nT, (n+1)T) interval is either A or -A, depending on the outcome of the random process.

This value is independent of the values in other intervals because the process is defined as a collection of independent random variables.

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Answer:

1 true

2 false

3 true

4 false

5 true

6 true

Step-by-step explanation:

Answer:

48-20x=21

Step-by-step explanation:

So, we basically have to clear the fractions (get rid of the denominators)

Multiply everything by the LCM of 6 and 8 (24)

24(2)-24(5/6x)=24(7/8)

48-20x=21

Hope this helps!

Answer:

so the discount is 42 and the bill is $78

Step-by-step explanation:

0.35*120=42

discount is 42

120-42=78

the bill is $78

The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:

v1 = √(2gh)

where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.

For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:

v1 = √(2 * 9.81 * 6)

v1 = 13.4 m/s

Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.

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Complete question:

How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?

Answer:

y=x+3

Step-by-step explanation:

4-1/1+2=3/3=1

y=x+b

1=1(-2)+b

1=-2+b

3=b

y=x+3

t\The position (or location) of the 8th decile in this sample is 15.

To calculate the position of the 8th decile, we need to sort the sample of 12 observations in ascending order and then find the value that represents the 80th percentile.

Let's assume the sample observations for the number of coffees ordered weekly during the last 12 weeks are as follows:

4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 20

First, we need to find the index position of the 8th decile. The formula to calculate the index position is:

Index position = (n * p) + 0.5

where n is the sample size and p is the desired percentile (in this case, 80th percentile or 0.8).

Index position = (12 * 0.8) + 0.5 = 9.7

Since index positions must be whole numbers, we round up the decimal value to the nearest whole number, which gives us an index position of 10.

Next, we find the value at the 10th index position in the sorted sample:

Sorted sample: 4, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 20

The value at the 10th index position is 15.

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Answer:

-36

Step-by-step explanation:

Answer:

-4 is closer to the number 0.

If A square ABCD has sides of length 4 units, and M is the midpoint of CD then The coordinates of point P can be (2, √6) or (2, -√6).

Given that A is the origin (0,0) and B is located at (4,0), we can find the coordinates of point P by considering the intersection of the two circles.

Since M is the midpoint of CD, the coordinates of M can be found by averaging the x-coordinates and y-coordinates of C and D. The x-coordinate of M is 2 (average of 0 and 4), and the y-coordinate of M is 0.

Considering the circle with radius 2 and center M, we know that point P lies on this circle. The equation of this circle is (x - 2)^2 + (y - 0)^2 = 2^2.

Substituting the x-coordinate of B into the equation, we can solve for the y-coordinate of P. This results in two possible solutions: y = √6 and y = -√6.

Therefore, the coordinates of point P can be (2, √6) or (2, -√6).

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If the quadratic has x-intercepts of -3 and 5 the equation would be:

y=c(x+3)(x-5)

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, by creating one part as the mirror image of the other part.

First, we have to define the axis of symmetry.

The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.

We have x-intercepts of -3 and 5

In ordered to find the axis of symmetry we have to find their middle intercept

To find the axis of symmetry:

-3+5/2=2/2=1

So the axis of symmetry is x = 1

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what do you mean help? Help with what ask a question

The difference of ladder slip is, 4 cm.

What is sliding down ladder?

A ladder can be quickly lowered by sliding down it. This function can keep the action going while descending a ladder and is present in many contemporary video games. Typically, a figure descends a ladder by placing their hands and feet on the exterior of the structure and letting themselves slide down it effortlessly.

Given: At the start of the day, a painter rested a 3 m ladder against a vertical wall so that the foot of the ladder was 50 cm away from the base of the wall.

During the day, the ladder slipped down the wall, causing the foot of the ladder to move 70 cm further away from the base of the wall.

Here 3m = 300 cm

So,

\(CE = \sqrt{BE^2-BC^2}= \sqrt{(300)^2-(50)^2} = 295 cm\)

\(DC = \sqrt{AD^2 - AC^2} = \sqrt{(300)^2-(70)^2}= 291cm\\\)

Hence, the difference of ladder slip is,

295 cm - 291 cm = 4 cm.

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A geometric random variable is the number of 5s when rolling a die 35 times. (option 1)

This is due to the fact that rolling a 5 on any given roll has a probability of 1/6, and the number of 5s can be determined by counting the number of successes (rolling a 5) prior to the first failure (not rolling a 5).

If you roll a number other than 5, the expected number of unsuccessful iterations is 1/2pq, where p is the probability of success (1/6) and q is the probability of failure (5/6). Additionally, this can be expressed as (1-p)/p. Therefore, when rolling a die 35 times, the expected number of 5s is 35, or (1-1/6)/(1/6).

We can use the formula for the expected value of a geometric random variable, E[X] = (1-p)/p, where p is the probability of success, to demonstrate this mathematically. p is 1/6 in this case.

E[X] = (1-1/6)/(1/6) = 35 can be obtained by substituting this number into the formula. This indicates that 35 is the anticipated number of 5s after rolling a die 35 times.

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Complete Question:

which of the following random variables is geometric?

The volume of the hexagonal prism is 2928.0 cubic centimeters

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

Base lengths, l = 7 cm

Height, h = 23 cm

The volume of a hexagonal prism is calculated as

V = 3/2 * √3 * l²h

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

V = 3/2 * √3 * 7² * 23

Evaluate

V = 2928.0

Hence, the volume of the prism is 2928.0 cubic centimeter

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer:

The average rate of change is 4.

Step-by-step explanation:

Average rate of change is simply a fancy way of saying "find the slope".  

So for slope, we use (y2-y1)/(x2-x1).

(3-(-13))/(2-(-2))

16/4

4

Answer:

\(x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949\)

Step-by-step explanation:

So we have the equation:

\(3^{1-x}+3^{1+x}=90\)

First, note that this is the same as:

\(3\cdot 3^{-x}+3\cdot 3^x=90\)

Factor out a 3:

\(3(3^{-x}+3^{x})=90\)

Divide both sides by 3:

\(3^{-x}+3^x=30\)

Change the negative exponent into a fraction:

\(\frac{1}{3^x}+3^x=30\)

Multiply both sides by 3^x:

\(3^x(\frac{1}{3^x}+3^x)=(30)(3^x)\)

Distribute:

\((1)+(3^x)^2=30(3^x)\)

Let u equal 3^x. So:

\(1+u^2=30u\)

Subtract 30u from both sides:

\(u^2-30u+1=0\)

This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:

\(u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Substitute:

\(u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}\)

Simplify:

\(u=\frac{30\pm \sqrt{900-4}}{2}\)

Subtract:

\(u=\frac{30\pm \sqrt{896}}{2}\)

Simplify:

\(u=\frac{30\pm 8\sqrt{14}}{2}\)

Simplify:

\(u=15\pm 4\sqrt{14}\)

Substitute back u:

\(3^x=15\pm 4\sqrt{14}\)

Take the log to base 3 of both sides:

\(\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}\)

The left side cancels:

\(x=\log_3{15\pm 4\sqrt{14}}\)

So, our solutions are:

\(x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949\)

And we're done!

Answer:

k = 13.8

Step-by-step explanation:

y = kx where 'k' is the constant of proportionality

'k' can be found using the same method for finding slope

(82.8-27.6) ÷ (6-2)

55.2 / 4 = 13.8

Answer:

so i hope this helps