Avery buys a sandwich for$7.69,a soft drink for $2.75,and a bag of chips for $1.25.How much money did he spend in all

Answer:

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = |5x + 1| - 3  - 4 = |5x + 1| - 7

Answer:

2

Step-by-step explanation:

5/1 *2/5 =10/5=2

Answer:

The correct answer is 2.

Step-by-step explanation:

To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.

5/1 x 2/5 =

10/5 =

2

Therefore, the correct answer is 2.

Hope this helps! :D

Answer:

C

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer is h(x) =\(\frac{1}{2}\) cos (\(\frac{2}{3}\)π +\(\frac{2}{3}\)π ) - \(\frac{1}{2}\)

∵The maximum point (- 2π. 3 )

        minimum point (- π / 2 , - 4)

and h(x) = a cos (b x + c)+ d

∴ a + d = 3                                d = - 1/ 2

                                  ⇒  

 -a + d = -4                              a = 7 / 2

{solve the equation}

and   -2πb + c = 0                      b = 2 / 3

                                       ⇒

       - ( π/ 2) b + c =  λ              c = 4 / 3 π

∴ h(x) =\(\frac{1}{2}\) cos (\(\frac{2}{3}\)π +\(\frac{2}{3}\)π) - \(\frac{1}{2}\)

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant

here detail explanation:

Sine Function

Sine function of an angle is the ratio between the opposite side length to that of the hypotenuse. From the above diagram, the value of sin will be:

Sin a =Opposite/Hypotenuse = CB/CA

Cos Function

Cos of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. From the above diagram, the cos function will be derived as follows.

Cos a = Adjacent/Hypotenuse = AB/CA

Tan Function

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio. From the diagram taken above, the tan function will be the following.

Tan a = Opposite/Adjacent = CB/BA

Also, in terms of sine and cos, tan can be represented as:

Tan a = sin a/cos a

Secant, Cosecant and Cotangent Functions

Secant, cosecant (csc) and cotangent are the three additional functions which are derived from the primary functions of sine, cos, and tan. The reciprocal of sine, cos, and tan are cosecant (csc), secant (sec), and cotangent (cot) respectively. The formula of each of these functions are given as:

Sec a = 1/(cos a) =  Hypotenuse/Adjacent = CA/AB

Cosec a = 1/(sin a) = Hypotenuse/Opposite = CA/CB

cot a = 1/(tan a) = Adjacent/Opposite = BA/CB

Note: Inverse trigonometric functions are used to obtain an angle from any of the angle’s trigonometric ratios. Basically, inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions are represented as arcsine, arccosine, arctangent, arc cotangent, arc secant, and arc cosecant.

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Answer:

y=3x+1

Step-by-step explanation:

y=mx+b

y=3x+1

4=(3*1)+b

4=3+b

1=b

y=(3*1)+1

y=3+1

y=4

Answer:

$7.97

Step-by-step explanation:

98.2 Oz = 6.1375 Lbs

6.1375 Lbs times $1.30 = 7.97875

The patient's vital signs suggest that he is in a state of shock. Therefore, the first step should be to begin treatment for shock. The medical team should also look for signs of internal bleeding, as the injury appears to be significant and may have resulted in damage to internal organs. The patient should be transported to a hospital as soon as possible.

The patient is a 28-year-old male who has suffered blunt trauma to his right anterior chest. He is exhibiting signs of shock, including being pale, cool, and diaphoretic, as well as having a rapid, shallow breathing pattern with paradoxical movement. Shock treatment should be initiated immediately, which may include raising the patient's legs and providing oxygen therapy. The medical team should also look for signs of internal bleeding, such as bruising or swelling in the chest or abdomen. Additionally, the patient should be transported to the hospital as quickly as possible for further treatment.

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The length of AB is 100 cm and the length of BC is 60 cm.

Let's assume the length of AB is 5x and the length of BC is 3x, where x is a common factor.

In a parallelogram, opposite sides are equal in length. Therefore, the length of AD is also 5x, and the length of CD is 3x.

The perimeter of a parallelogram is the sum of the lengths of all its sides. Given that the perimeter is 320 cm, we can set up the equation:

AB + BC + CD + AD = 320

(5x) + (3x) + (3x) + (5x) = 320

16x = 320

Dividing both sides by 16:

x = 320 / 16

x = 20

Now we can find the lengths of AB and BC:

AB = 5x = 5 * 20 = 100 cm

BC = 3x = 3 * 20 = 60 cm

Therefore, the length of AB is 100 cm and the length of BC is 60 cm.

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The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

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The correct option is B,  II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

\(r = (1 + \dfrac{i}{n} )^n - 1.\)

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B,  II. only.

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Answer:

a=-2,4

b=1,1

c=4,3

Step-by-step explanation:

b

The most appropriate chart to see the correlation between car mileage and year the car was built for various car models would be a scatterplot chart.

In a scatterplot chart, each point represents a pair of values: one value on the x-axis (in this case, year the car was built) and another value on the y-axis (in this case, mileage). By plotting these pairs of values for each car model in the sample, we can visually examine the relationship between mileage and year built for each car model and determine if there is a correlation between the two variables.

A line chart is used to display data that changes over time, typically for a single variable. A heatmap chart is used to show the magnitude of values for different categories using different colors. Therefore, neither of these chart types would be appropriate to show the correlation between mileage and year built for various car models.

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Answer: the answer is uber.

Step-by-step explanation: Uber: 3 + 2 = $5.00 total

Lyft: = 6 dollars total

Answer:

29/60 of the crates are left behind.

Step-by-step explanation:

Total number of crates = 24 1/4= 97/4

Rotten tomatoes crates = 7 3/5= 38/5

Joe sold crates = 8 1/3= 25/8

Canned  crates of tomatoes =7 5/6= 47/6

Therefore

24 1/4 - 7 3/5 - 8 1/3 - 7 5/6

= 97/4-38/5-25/3-47/6

= (97*5-38*4)/20  - (25*2+47)/6

= 485-152/20 - 97/6

= 333/20-97/6

= 333*3-97*10/60

=999-970/60

=29/60

29/60 of the crates are left behind.

This question is solved in 2 steps.

First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.

Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.

The distance that your doll would have to travel is equal to 88.14 feet.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(0 - (80))² + (0 - 37)²]

Distance = √[-80² + (-37²)]

Distance = √[6400 + 1,369]

Distance = √7,769

Distance = 88.14 feet.

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There is not strong evidence against the claimed value of 43%.

N = 400
P = 0.43

Check Conditions:
10% Condition: We assume 400 hectares is less than 10% of all hectares, so this condition is met.
Large Counts Condition: 400(0.43) = 172 and 400(1-0.43) = 228 are both greater than 10, so this condition is met.

Is this approximately normal? Yes, because both the 10% condition and the Large Counts condition are met.

Find the Important Values:
Mean of p-hat: 0.43
Standard Deviation of p-hat: sqrt((0.43)(1-0.43)/400) = 0.0248

Assuming that the Forestry Commission's report is accurate, what is the approximate probability that more than 47% of the sample would have had the certification in 2016?
We need to find the z-score for 0.47: z = (0.47-0.43)/0.0248 = 1.61
Using a z-table, we find that the probability of getting a z-score greater than 1.61 is 0.0537.

Since our probability of 0.0537 is greater than 5%, there is not strong evidence against the claimed value of 43%.

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Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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Answer: Tom can come up with 13 different wacky personalities for Mr Potato Head.

Step-by-step explanation:

Tom can come up with 3 different hairstyles for Mr Potato Head, 2 sets of eyebrows, 1 pair of googly eyes, 2 sets of ears, and 2 sets of lips. He also has 2 pairs of shoes to choose from. If Mr Potato Head can be bald, Tom can also choose to not include a hairstyle.

In total, Tom can come up with 3+2+1+2+2+2+1=13 different combinations of features for Mr Potato Head. Since each combination represents a different personality, Tom can come up with 13 different wacky personalities for Mr Potato Head.

The probability of getting someone who is a man or non-drinker is 0.969 (rounded to 3 decimal places).

The table shows the drinking habits of a group of college students by sex. To find the probability of getting someone who is a man or non-drinker, we need to add up the number of men and non-drinkers and divide by the total number of students in the group.

The number of non-drinkers is the sum of the non-drinkers for men and women, which is:

Non-drinkers = 135 + 187 = 322

The number of men is given in the table as:

Men = 199

To find the probability of getting someone who is a man or non-drinker, we add the number of men and non-drinkers and then divide by the total number of students in the group, which is given as:

Total = 420

Therefore, the probability of getting someone who is a man or non-drinker is:

P(man or non-drinker) = (Non-drinkers + Men) / Total

= (322 + 199) / 420

= 0.969

So, the probability of getting someone who is a man or non-drinker is 0.969 (rounded to 3 decimal places).

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Answer:

What is the value of x in the product of powers 55 · 5x = 52 ?

x = –3

What is the value of y in the product of p-3 · p-6 = py

y = –9

What is the value of n in th product of 92 · 9-7 · 9n  =  9-5 = \(\frac{1}{9^5} }\)

n = 0

Hope this helps :D

The value of x in the product of powers is -3, the value of y is -9 and the value of n is 0.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given that,

5⁵ . 5ˣ = 5²

We have to use a multiplication rule for exponent here.

xᵃ . xᵇ = xᵃ⁺ᵇ

Using this,

5⁵⁺ˣ = 5²

⇒ 5 + x = 2

⇒ x = -3

p⁻³ . p⁻⁶ = p^y

Using the same rule of exponent,

p⁻³⁺⁻⁶ = p^y

⇒ y = -3 - 6 = -9

9² . 9⁻⁷ . 9ⁿ = 9⁻⁵

9²⁻⁷⁺ⁿ = 9⁻⁵

⇒ 2 - 7 + n = -5

⇒ n = 0

Hence the values of x, y and n are -3, -9 and 0 respectively.

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Answer:

30

Step-by-step explanation:

14/420

14 goes into 42 3 times

14 goes into 0 0 times

30

Answer:

420 divided by 14 will give you an answer of 30

Answer:

1.) 18/36

2.) 9/36

3.) 12/36

4.) 3/36

Answer:

1. 1/2

2. 1/4

3. 1/3

4. 1/12

Step-by-step explanation:

Each grid has a total amount of 36 squares. Count the grey squares and use that as a ratio to the squares in total. Simplify your ratios, and there you have it. I saved la life bruda 8)

Answer:

x=11

Step-by-step explanation:

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.

We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.

Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank

6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)

6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)

6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)

width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)

=  6x²- x + 12 - 3x² - 2x - 15

= 3x² - 3x - 3

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Answer:

\(8(2 +5) \\ 16 + 40\)

\((7 \times 4) \times 3 \\ 7 \times (4 \times 3)\)

\(8 + 5 \\ 5 + 8\)

\(-4(1) \\-4 (\frac {3}{3})\)

\(25 + ( - 25) \\25 + 25\)

Answer:

the x- coordinate of the turning point = - 2.5

Step-by-step explanation:

given

x² + bx + c

c is the value of the y- coordinate where the curve crosses the y- axis, so c= - 14

x² + bx - 14

given x = 2 is a root , then equating to zero gives

2² + 2x - 14 = 0

4 + 2x - 14 = 0

- 10 + 2x = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

then equation is

x² + 5x - 14 = 0  ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

the roots are x = - 7, x = 2

the x- coordinate of the vertex is at the midpoint of the roots , that is

x- coordinate of the turning point = (- 7 + 2) ÷ 2 = - 5 ÷ 2 = - 2.5