PLZ HELPPP
What number is 70% of 60?

Answer:

F = 9/5C + 32

Step-by-step explanation:

F = 9/5C + 32

Since F means Fahrenheit and C means Celsius

Therefore the answer is already written

Answer: F = 9/5C + 32

Answer: C = 5/9 ( F - 32 )

Step-by-step explanation:

i dont know to do the 5 over 9 on the computer but thats the answer

Edmentum Answer

We have shown that if a and b are odd integers, then c must be even. Since a, b, and c are integers, it follows that at least one of a and b must be even. Therefore, we have proved that for all integers a, b, and c, if a²b²=c², then a or b is even.

We have to prove that for all integers a, b, and c, if a²b²

=c², then a or b is even.Given that a, b, and c are all integers, and that a²b²

=c², we must show that either a or b must be even.To prove this, we'll use proof by contradiction by supposing both a and b are odd.Since a is odd, it can be expressed as a

=2m+1 for some integer m, while b can be expressed as b

=2n+1 for some integer n. Therefore, a²

=(2m+1)² and b²

=(2n+1)².Substituting these values into the equation a²b²

=c², we get (2m+1)²(2n+1)²

=c², which can be simplified to (4mn+m+n)²

=c². This equation can also be written as 4mn+m+n

=c/d for some integers c and d.Let k

=m+n. Then 4mn+m+n

=4mn+2k

=2(2mn+k). We know that 2mn+k

=c/d, so 4mn+2k

=2(2mn+k)

=2(c/d), which is even because c/d is an integer. Therefore, the left-hand side of the equation is even, which means that the right-hand side of the equation must also be even. Since c/d is an integer, c must be even.We have shown that if a and b are odd integers, then c must be even. Since a, b, and c are integers, it follows that at least one of a and b must be even. Therefore, we have proved that for all integers a, b, and c, if a²b²

=c², then a or b is even.

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Answer:

3. This would be third person view

4. Tyrone's mother and Tyrone himself

Step-by-step explanation:

3. Explanation: "Tyrone will be so surprised," she thought. "He has no

idea that we have a puppy waiting for him at Grandma's

house." This is third person view because it says "thought" and whilst it is her view point, Tyrone wondered to himself - Tyrone saw his mother smiling to herself and wondered what she was thinking.- therefore, causing it to be third person point of view.

Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.

There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:

1. Freshman President, Sophomore Vice-President, Sophomore Treasurer

2. Sophomore President, Freshman Vice-President, Sophomore Treasurer

3. Freshman President, Sophomore Vice-President, Freshman Treasurer

4. Sophomore President, Freshman Vice-President, Freshman Treasurer

For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.

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Answer:

288 good ways

Step-by-step explanation:

:)

Answer: We can use the equation to find the number of dimes in Kendall's pocket:

25g + 10d = 150

25 * 4 + 10d = 150

100 + 10d = 150

10d = 50

d = 5

So Kendall has 5 dimes in her pocket.

Step-by-step explanation:

Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

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The function f(x) is: neither old nor even

Trigonometric functions can be categorized as odd, even, or neither odd nor even based on their symmetry properties. Let's analyze each category:

Odd Functions: An odd function satisfies the condition f(-x) = -f(x) for all values of x. This means that if we reflect the graph of the function across the y-axis, it remains unchanged. In other words, the function is symmetric with respect to the origin (0,0).

Examples of odd trigonometric functions include sine (sin(x)) and tangent (tan(x)). When you plug in -x into these functions, you'll get the negation of the function's value at x.

Even Functions: An even function satisfies the condition f(-x) = f(x) for all values of x. This means that if we reflect the graph of the function across the y-axis, it remains unchanged. In other words, the function is symmetric with respect to the y-axis.

An example of an even trigonometric function is the cosine function (cos(x)). When you plug in -x into the cosine function, you'll get the same value as when you plug in x.

Neither Odd nor Even: Some trigonometric functions do not exhibit either odd or even symmetry. These functions do not satisfy the conditions for odd or even functions. Examples of trigonometric functions that are neither odd nor even include secant (sec(x)), cosecant (csc(x)), and cotangent (cot(x)). When you plug in -x into these functions, you won't get the negation or the same value as when you plug in x.

Therefore, the trigonometric functions can be categorized as odd, even, or neither odd nor even, depending on their symmetry properties.

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Answer: y = 7x + 5 (maybe, please make sure, I'm very doubtful of myself sometimes)

Step-by-step explanation:

1. With the given numbers, m is slope, so 7 is the slope and b is y-intercept, and 5 is the y-int in this case.

2. This is hinting that the equation is in slope intercept form, which is      y = mx + b.

3. Since y = mx + b is the formula, then it means y = 7x + 5 is the likely answer

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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To find different possible pairs of dimensions for the floor of the garage, we can use the formula for volume of a rectangular prism:

Volume = length x width x height

Since we know the height of the garage is 4 meters and the volume is 96 cubic meters, we can rearrange the formula to solve for the length and width:

length x width = Volume / height

length x width = 96 / 4

length x width = 24

Therefore, the length and width of the garage floor must multiply to equal 24 square meters. Here are two possible pairs of dimensions for the floor:

Length = 6 meters, Width = 4 meters

If we choose the length to be 6 meters, then the width must be 4 meters to satisfy the formula length x width = 24. This would result in a floor with an area of 24 square meters.

Length = 8 meters, Width = 3 meters

Alternatively, if we choose the length to be 8 meters, then the width must be 3 meters to satisfy the same formula length x width = 24. This would also result in a floor with an area of 24 square meters.

In both cases, we have found pairs of dimensions for the floor that satisfy the given conditions.

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Answer:

4.000

that's the answer I think

Answer: 32x - 96

Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps

The correct inequality that represents the given graph is "x greater-than-or-equal-to negative 53."

The inequality represented by the given graph is "x greater-than-or-equal-to negative 53."

In the graph, there is a closed circle at negative 53 on the number line. This indicates that the value -53 is included in the solution set. Additionally, everything to the right of the closed circle is shaded, indicating that all values greater than -53 are also part of the solution.

The symbol ">" represents "greater than," and the symbol "≥" represents "greater than or equal to."

Since the closed circle is at -53, which is included in the shaded region, we use the "greater than or equal to" symbol to indicate that the values greater than or equal to -53 satisfy the inequality.

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Answer:

its d

Step-by-step explanation:

Answer:

25/64

Step-by-step explanation:

C=πd

find diameter:

small= 15 x 15= 225

large= 24 x 24= 576

multiply:

225 x 3.14= 706.5

576 x 3.14= 1808.64

ratio:

706.5/1808.64

reduce:

25/64

Length of the radius of the small pizza = 15 inches

Circumference of the small pizza :

\( =\tt 2\pi r\)

\( = \tt2 \times 3.14 \times 15\)

\( = \tt94.2 \: inches\)

Thus, the circumference of the small pizza = 94.2 inches

Length of the radius of the large pizza = 24 inches

Circumference of the large pizza :

\( = \tt2\pi r\)

\(\tt2 \times 3.14 \times 24\)

\( = \tt150.72\)

Thus, the circumference of the large pizza = 150.72 inches

Ratio of the circumferences of the two pizzas :

\( = 94.2 : 150.72\)

\( = \tt\frac{94.2 \times 100}{150.72 \times 100} \)

\( = \tt \frac{9420}{15072} \)

Let us simplify the fraction :

\( = \tt\frac{9420}{15072} \)

\( =\tt \frac{9420 \div 12}{15072 \div 12} \)

\( = \tt \frac{785}{1256} \)

\( = \tt\frac{785 \div 157}{1256 \div 157} \)

\( = \color{plum}{ \tt\frac{5}{8} }\)

Thus, the ratio of their circumferences = 5:8

Therefore, the ratio of the circumferences of the pizzas as a fraction \( = \color{plum}{ \tt\frac{5}{8} }\)

The wavelength of the transverse wave is 0.280m, indicating the distance between two consecutive wave crests or troughs. The frequency of the wave is 27.8 Hz, representing the number of complete wave cycles occurring per second. The wave propagates with a speed of 7.78 m/s in the -x direction, as indicated by the negative coefficient of x in the wave equation.

To determine the wavelength of the wave, we can compare the equation to the standard form of a transverse wave, which is y(x,t) = A sin(kx - ωt + φ), where A is the amplitude, k is the wave number, ω is the angular frequency, t is time, x is position, and φ is the phase constant.

Comparing the given equation y(x,t) = (9.00 mm) sin(2π(t/0.0360s - x/0.280m)) to the standard form, we can see that the wave number k is equal to 2π divided by the wavelength λ, which gives us k = 2π/λ.

By comparing the given equation to the standard form, we can conclude that the wave number is 2π/0.280m. Therefore, the wavelength λ can be calculated as λ = 2π/(2π/0.280m) = 0.280m.

To determine the frequency, we use the equation f = ω/(2π), where f is the frequency and ω is the angular frequency.

Comparing the given equation to the standard form, we can deduce that ω = 2π/0.0360s. Substituting this value into the frequency equation, we get f = (2π/0.0360s)/(2π) = 1/(0.0360s) = 27.8 Hz.

The speed of propagation of a wave is given by the equation v = λf, where v is the speed of propagation, λ is the wavelength, and f is the frequency. Substituting the values we have, we get v = 0.280m × 27.8 Hz = 7.78 m/s.

The direction of propagation of the wave can be determined by examining the coefficient of x in the given equation. In this case, the coefficient is negative (-0.280m), indicating that the wave is propagating in the -x direction.

In summary, the wavelength of the wave is 0.280m, the frequency is 27.8 Hz, the speed of propagation is 7.78 m/s, and the direction of propagation is -x.

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In the standard economic model of exponential discounting, you would choose to drive the Ferrari on the last day (fourth day) since it maximizes your discounted utility. However, if you derive b from anticipation alone with α=2, you would choose to drive the Ferrari on the first day. If you derive utility from both anticipation and consumption with α=2, you would still choose to drive the Ferrari on the last day.

In the standard economic model of exponential discounting, the discounted utility of driving the Ferrari for c days can be calculated as \(u(c) / (1 + r)^t, where u(c)\) is the utility function, r is the daily discount rate, and t is the time period.

a. With a daily discount rate of 0.5, you would choose to drive the Ferrari on the last day (day 4) since it maximizes your discounted utility. The utility function \(u(c) = (10c)^2\) does not affect the timing of your choice.

b. If you derive utility from anticipation alone, not consumption, with α=2, the timing of your choice changes. In this case, you only consider the utility derived from anticipating driving the Ferrari. The utility function becomes \(u(c) = α^t\), where α=2. As α increases with time, you would choose to drive the Ferrari on the first day (day 0) to maximize your utility from anticipation.

c. If you derive utility from both anticipation and consumption with α=2, the timing of your choice reverts to the standard model. The utility function remains \(u(c) = (10c)^2\), and with a value of α=2, the highest discounted utility is still achieved by driving the Ferrari on the last day (day 4).

Therefore, depending on the consideration of anticipation alone or anticipation and consumption together, your choice of when to drive the Ferrari may differ.

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Answer:

1.404

Step-by-step explanation:

Given:

\(\log_43 \approx 0.792\)

\(\log_421 \approx 2.196\)

\(\log_421 =\log_4(3 \times 7)=\log_43+\log_47\)

\(\implies 2.196\approx 0.792+\log_47\)

\(\implies \log_47 \approx 2.196-0.792\)

\(\implies \log_47 \approx 1.404\)

Answer:

It would take about 72 minutes to travel 78 miles. Hope this helps. :)

Step-by-step explanation:

Divide 78/72 to give miles per minute.

Then multiply by 60 to give miles per 60 minutes or miles per hour.

78 miles in 72 minutes = 65 mph.

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

Step-by-step explanation:

sussy

Step-by-step explanation:

Tangent = opposite/adjacent

opposite = 9cm

adjacent = hcm

tan 23° = 9/h

cross multiply

tan 23°×h = 9

h = 9/1•5881

h = 5•7

There is a probability of approximately 31.43% that three students selected at random from the class will all be girls.

To find the probability that all three selected students are girls, we need to calculate the probability of selecting a girl on the first draw, then a girl on the second draw, and finally a girl on the third draw.

The probability of selecting a girl on the first draw is 12/16 (since there are 12 girls out of a total of 16 students).

After one girl has been selected, there will be 11 girls left out of a total of 15 students, so the probability of selecting a girl on the second draw is 11/15.

After two girls have been selected, there will be 10 girls left out of a total of 14 students, so the probability of selecting a girl on the third draw is 10/14.

So, the overall probability of selecting three girls in a row is:

(12/16) x (11/15) x (10/14) = 0.3143 or approximately 31.43%

Therefore, there is a probability of approximately 31.43% that three students selected at random from the class will all be girls.

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Answer:

problem 1. 53/20 problem 2. 24/27. Problem 3. 22/48

Step-by-step explanation:

to solve the first two, the process is similar. For the first one, they can be simplifed back into fraction form and not mixed form, so 1 2/5 can be simplified by multiplying 5 by one then adding it to 2, which gives you 7/5, and the same process for 2 1/2, multiply 2 by two, get 4 add it to one to get 5/2. Now we have 7/5 + 5/2, when we have fractions that we need to add or subtract, but down have the same bottom number, the easiest way to get a answer is to multiply both bottom numbers together then multiply the top number by the opposite bottom number, so 5x4 = 20, 4x7=28, 5x5=25, and we get 28/20 + 25/20 = 53/20. The process for problem two is the same, but just with subtraction and different numbers.

for problem three, the process is almost the same, but the steps differ. The bag is made up of R G and P counters, 3/8 of them are red, 1/6 are green, and the rest are purple because nothing else is in the bag. So another way of saying this is 3/8 + 1/6 + purple = Full Amount in bag. But now we need purple, so we know 1/2 one half and so does 2/4, and since we have fractions we can find the amount in the bag by adding them, 3/8 + 1/6 = 26/48, and we know the full bag is 1/1 or 48/48, and fhe only one left is purple, so to get purple, we subtract 48/48 from 26/48 and get 22/48 which is the amount of purple.

The delivery rate for Famotidine should be set at 2/3 mL/min.

To determine the delivery rate for each scenario, we can use the formula:

Delivery rate = Volume / Time

1. Cefazolin:

Given:

- Dose: 1000 mg

- IV fluid volume: 50 mL

- Infusion time: 30 minutes

Using the formula, the delivery rate for Cefazolin will be:

Delivery rate = 50 mL / 30 min

Simplifying:

Delivery rate = 5/3 mL/min

So, the delivery rate for Cefazolin should be set at 5/3 mL/min.

2. Famotidine:

Given:

- Dose: 20 mg

- IV fluid volume: 10 mL

- Infusion time: 15 minutes

Using the formula, the delivery rate for Famotidine will be:

Delivery rate = 10 mL / 15 min

Simplifying:

Delivery rate = 2/3 mL/min

So, the delivery rate for Famotidine should be set at 2/3 mL/min.

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Step-by-step explanation:

9=0.3x+1

0.3x=8

x=2.4

(2.4, 9)

0.3(5)+1=2.5

(5,2.5)

slope = 0.3

Answer:

The first answer was slightly correct, I got the answer correct in this version

x=26 2/3

(26 2/3, 9)

0.3(5)+1=2.5

(5,2.5)

slope = 0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 42.80 , 2.28 is what they saved and i got the .80 cents because i rounded up from .78

The original price of a swimsuit is 47.90.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The price of a swimsuit after discount of 5% = 45.50

Now, Let the original price of swimsuit = x

Then we can formulate;

x - 5% of x = 45.50

( x - 5x/100 ) = 45.50

(100x - 5x)/100 = 45.50

95x / 100 = 45.50

95x = 45.50 × 100

95x = 4550

x = 4550 ÷ 95

x = 47.895

After round to the nearest cent,

x = 47.90

Thus, The original price of a swimsuit is 47.90.

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These triangles are d. not similar

The given angles in the triangles are not sufficient to establish similarity. In order for two triangles to be similar, their corresponding angles must be equal, and their corresponding sides must be in proportion.

In this case, while the two triangles have two equal angles (88° and 88°), there is no information provided about the lengths of their sides. Therefore, we cannot determine if the triangles are similar based on the given information.

The triangles are not similar.

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Answer:

B

Step-by-step explanation:

The given differential equation y'' - 5y' + 6y = 0 can be factored as (D-2)(D-3)y = 0, where D denotes the derivative operator. Hence, the general solution is y = c1*e^(2x) + c2*e^(3x), where c1 and c2 are constants that depend on the initial conditions.

Using the given initial conditions, we can find c1 and c2 as follows:

y(0) = c1 + c2 = 1
y'(0) = 2c1 + 3c2 = 2

Solving this system of equations, we get c1 = -1 and c2 = 2. Therefore, the particular solution that satisfies the given initial conditions is:

y = -e^(2x) + 2*e^(3x)

To find ln(y(1)), we substitute x = 1 in the above expression:

y(1) = -e^2 + 2*e^3

Taking natural logarithm on both sides, we get:

ln(y(1)) = ln(-e^2 + 2*e^3)

Note that this is an exact value, which cannot be simplified further.
To find the solution of the given differential equation y'' - 5y' + 6y = 0 with initial conditions y(0) = 1 and y'(0) = 2, we will first find the complementary function and then apply the initial conditions to determine the constants.

The given equation is a second-order linear homogeneous differential equation with constant coefficients. We will start by finding the characteristic equation:

r^2 - 5r + 6 = 0

This can be factored as:

(r - 2)(r - 3) = 0

This gives us two roots, r1 = 2 and r2 = 3. Now, we can write the general solution for the differential equation as:

y(x) = C1 * e^(2x) + C2 * e^(3x)

Now, let's apply the initial conditions:

1. y(0) = 1:
C1 * e^(2*0) + C2 * e^(3*0) = 1
C1 + C2 = 1

2. y'(0) = 2:
The derivative of y(x) is:
y'(x) = 2C1 * e^(2x) + 3C2 * e^(3x)
y'(0) = 2C1 * e^(2*0) + 3C2 * e^(3*0) = 2
2C1 + 3C2 = 2

Solving this system of linear equations for C1 and C2, we get:
C1 = 1
C2 = 0

So, the particular solution is:
y(x) = e^(2x)

Now we need to find ln(y(1)):
ln(y(1)) = ln(e^(2*1)) = ln(e^2) = 2

So, ln(y(1)) = 2.

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