You want to save at least $180 to buy a new phone. You already have $65 in your account, and you can save $23 a week from your after-school job. Which inequality can be used to find the minimum number of weeks you need to save before you can purchase the phone?

20 oz soda bottle for $1.80

Explanation

to solve this , find the unit rate and compare

Step 1

unit rate 1

then

Let

total cost=$1.80

number of ounces=20

replace

Step 2

now, for option 2

Let

cost=1.25 dollars

number of ounces=12

replace

the better deal is teh cheapest option,

Hence, the better deal is option one

20 oz soda bottle for $1.80

I hope this helps you

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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Answer:

-10

Step-by-step explanation:

(-6)+(-4)

Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

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No \(\frac{3}{4} \((8a - 12)\) is not equivalent to 6a+9.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators (such as +, -, x, and /). It can represent a specific value or a general rule for calculating a value. Examples of algebraic expressions include 2x + 3, x^2 - 4, and (x + y)/z.

To determine whether - \(\frac{3}{4} \((8a - 12)\)is equivalent to 6a+9, we can simplify both expressions and compare them.

First, we can simplify \(-\frac{3}{4} \((8a - 12)\) as follows:

\(-\frac{3}{4} \((8a - 12)\) =  \(-\frac{3}{4} * 8a\)+ \(-\frac{3}{4} * (-12)\)= -3a + 9

Next, we can simplify 6a+9 as follows:

6a + 9 = 6a + 9

Now we can compare the two expressions:

-3a + 9 = 6a + 9

The two expressions are not equivalent. The left-hand side contains -3a, whereas the right-hand side contains 6a, so the two expressions have different coefficients on the variable a.

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At the 5% level of significance, the data suggests that the average zinc concentration in the bottom of the water column exceeds that in surface water.

To determine if the average zinc concentration in the bottom of the water column exceeds that in surface water, you can perform a paired t-test. The null hypothesis (H0) would be that the average zinc concentration in the bottom of the water column is equal to or less than that in surface water.

To perform the test, you would calculate the difference between each paired measurement (bottom - surface) and then calculate the mean and standard deviation of these differences. Using these values, you can calculate the t-statistic and compare it to the critical value from the t-distribution table at the 5% level of significance.

If the calculated t-statistic is greater than the critical value, you would reject the null hypothesis and conclude that the average zinc concentration in the bottom of the water column exceeds that in surface water at the 5% level of significance.

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Answer:

I think that's 18

Step-by-step explanation:

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

17400

Step-by-step explanation: i might get this wrong but just do 1.74*10^4 and it should equal 17400

A) The rate of change in the direction of motion is approximately 2.94.

B) The direction in which the bug should move from P for the temperature to increase the fastest is in the direction of <-0.649, -0.761>.

C) The magnitude of the rate of change of temperature in that direction is given by ||∇T(2,3) · v|| = ||∇T(2,3)|| ||v|| cosθ

We can use the gradient of the temperature function to find the direction of maximum increase and the rate of change in that direction.

The gradient of T(x,y) is given by:

∇T(x,y) = <-2x/5, -y>

At point P=(2,3), the gradient is:

∇T(2,3) = <-4/5, -3>

The direction of maximum increase is given by the unit vector in the direction of the gradient. We can find this by normalizing the gradient:

u = ∇T(2,3) / ||∇T(2,3)||

Where ||∇T(2,3)|| is the magnitude of the gradient at point P:

||∇T(2,3)|| = √((-4/5)² + (-3)²) = √(16/25 + 9) = √(41/5)

Therefore,

u = <-4/5, -3> / √(41/5) = <-0.649, -0.761>

So the direction in which the bug should move from P for the temperature to increase the fastest is in the direction of <-0.649, -0.761>.

To find the rate of change in the direction of motion, we need to project the gradient onto the unit vector connecting P and Q. Let R be the position vector of the point on the line connecting P and Q that is closest to P. Then the direction of motion is given by the unit vector:

v = (Q - P) / ||Q - P||

Where ||Q - P|| is the distance between P and Q:

||Q - P|| = √((3 - 2)² + (-2 - 3)²) = √26

Therefore,

v = <1/√26, -5/√26>

The rate of change in the direction of motion is given by the dot product of the gradient and the unit vector v:

∇T(2,3) · v = (-4/5)(1/√26) + (-3)(-5/√26) = 15/√26 ≈ 2.94

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To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.

Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon

= 20.59 gallons (approximately)

Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

7.01.

Step-by-step explanation:

We can use the Law of Cosines to solve for c:

c^2 = a^2 + b^2 - 2ab*cos(C)

We are given a = 7, m∠A = 50°, and m∠B = 60°. We can use the fact that the angles in a triangle add up to 180° to find m∠C:

m∠C = 180° - m∠A - m∠B

m∠C = 180° - 50° - 60°

m∠C = 70°

Now we can substitute the known values into the Law of Cosines and solve for c:

c^2 = 7^2 + b^2 - 27bcos(70°)

c^2 = 49 + b^2 - 14bcos(70°)

We don't know b, but we can solve for it using the given equation:

3/2 + b = 7/4

Subtracting 3/2 from both sides:

b = 7/4 - 3/2

b = 1/4

Now we can substitute b = 1/4 into the equation for c^2:

c^2 = 49 + (1/4)^2 - 14*(7/4)*(1/4)*cos(70°)

c^2 = 49.1709

c ≈ 7.01

Therefore, the length of side c is approximately 7.01.

Answer:  2(x+3)^2 - 1

To shift the f(x) function 3 units to the left, the xy axis must move 3 units to the right. This effectively means each x input is 3 units larger than before. That's why we replace every x with x+3.

Answer:

g( 1 ) = 9

Step-by-step explanation:

Remember that in linear functions expressed in the function notation, g(x), this means that for any allowed value of x, we can use the equation to find the corresponding value of g(x) or y (output). Thus, the linear function g(x) = 5x + 4 is essentially the same as expressing the given equation as: y = 5x + 4.  

Given the linear function, g(x) = 5x + 4, we can solve for x when g(x) = 9 by substituting the value of the output, g(x) = 9, into the function.

g(x) = 5x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5 to solve for x:

\(\large\mathsf{\frac{5}{5}\:=\:\frac{5x}{5}}\)

x = 1

Therefore, when g(x) = 9, the value of x = 1. Another way of expressing this is: g( 1 ) = 9.

Since an outlier will have an effect when dealing with small sample sizes the true statement is option b. They have the biggest effect when dealing with small sample sizes.

An outlier

In Mathematics, an outlier is a value of a set of data that is quite different from the other values. In simple terms, outliers are values that are far from the middle.

Outliers have a significant impact on the mean, but not on the median or mode. Remember There is no such rule that determines the outliers of data, these are extreme values of data.

Example:

1) 15, 16, 20, 26, 30, 31, 35, 42, 45, 150, 200  

In the given data, 150 and 200 are different from other values

An outlier of given data is 150 and 200

These are the points that lie outside the entire distribution. These outliers are shown as dots.  

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Answer:

1. -3

2. 6

3.less than

Step-by-step explanation:

Step-by-step explanation:

Given the logarithmic expression:

\(3log_{5}2 + log_{5}x = log_{5}24\)

Using the Logarithmic Product Rule:

\(log_{a}x + log_{a}y = log_{a}(xy)\)

And the Logartihmic Power Rule:

\(log_{a}x^{y} = ylog_{a}x\)

Rewriting your given logarithmic expression by applying the power rule:  

\(log_{5}2^{3} + log_{5}x = log_{5}24\)

I will use the following logarithmic property to cancel out the logarithmic expressions, which will show why x = 3.

    \(_{b}log_{b}x = x\)

Raise each logarithmic expression by the same value as the base, 5:  

\((_{5}log_{5}2^{3} ) + (_{5}log_{5}x )= (_{5}log_{5}24)\)

2³(x) = 24  (2³ is multiplied with x instead of addition because of the Product Rule).  

Now that you're left with just 2³(x) = 24, it's easy to see why the answer is x = 3:

2³(x) = 24

8x = 24

Divide both sides by 8:

8x/8 = 24/8

x = 3

Answer:

Yes, it is TRUE

Hope my answer helps you ✌️

Answer:

1)65.9

2)326.6

3)13.6

4)8.0

Step-by-step explanation:

The trick is always to look at the number after the first decimal for rounding to 1 decimal place, if its above 5, you round it up to the next decimal; eg. 13.45 = 13.5 because the 5 will round it up,and if value below 5, you round it down; eg. 12.34 = 12.3 because the 4 is below 5 and the nearest 10th decimal is 3.

Answer:

40 miles per hour.

Step-by-step explanation:

\(\frac{1}{4}\) ÷ 22.5 = \(\frac{1}{4}\) × \(\frac{2}{45}\) = \(\frac{1}{90}\) mile per second

\(\frac{1}{90}\) × 3600 = 40 miles per hour.

Answer:

$7665

Explanation:

simple interest: principal * rate (%) * time (years)

Given:

principal: $3,500

rate: 7%

time: 17 years

Solve for interest received:

3,500 * 7% * 17

$4165

Total money in account:

$4165 + $3,500

$7665

Answer:

see explanation (please confirm if I read you problem correctly)

Step-by-step explanation:

150 kilometers

60 kph

tank is 20 liters

6 km/l

150/6 = 25 liters needed

$60/l

you will need to get 5 more liters of fuel

total cost 25 x .60 =  $15

Answer:

AHHHHH I think its two hours

Step-by-step explanation:

she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours

Answer:

1. 128=x

2.37=x

3. 55=x

4. 15=x

5. 76=x

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53

Let's start with part a, finding the maximum and minimum.

Answer a: Max temp is -5 C on day 200.  Min temp is -79 C on day 500.

Sine model.

We're looking for a model

T(n) = A sin( ωn - p ) + o

where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.

Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero.  o = -42 C.

That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.

Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.

From max to min is a half period, or about a half period since we're only seeing every 100 days.  That's 300 days, so a full cycle about every 600 days.

We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days,  So when n=600 this term must be 2π, so it's of the form

ωn = 2 π n / 600.

Putting it all together we get our model:

Answer b: T(n) = 37 sin(2 π n / 600) - 42

We already estimated the period at 600 days.  That's a full year.

Answer c: 600 days

We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.

Answer:

$45,800

Step-by-step explanation:

$8000 + 14.5%= 9160

9160 x 5= $45,800

Answer:

I believe its C , i took this class

Step-by-step explanation:

\( \boxed{ \red{ \mathfrak{Perimeter \: of \: semi - circle =\pi r + 2r }}}\)

\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{22}{7}\times11 +22 }}\)

\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{242}{7}+22 }}\)

\( \pink \longmapsto \purple { \mathfrak { Perimeter= \frac{396}{7}}}\)

\( \pink \longmapsto \purple { \mathfrak { Perimeter= 56.5 \: cm}}\)