Does anyone know the answer?

Does Anyone Know The Answer?

Answers

Answer 1

Answer:

a. -13

b. 14

c. -6

Step-by-step explanation:

a.

Substitute x = -3 into the equation.

f(-3) = 2(-3) - 7

= - 6 - 7

= -13

b.

Substitute f(x) = 21 into the equation.

2x - 7 = 21

2x = 28

x = 14

c.

Substitute x = 1/2 into the equation.

f(1/2) = 2(1/2) - 7

= 1 - 7

= -6


Related Questions

Hynix is comparing two numbers.He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11. Which equation can he use to find the value of the smaller number X

Answers

The equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number.

According to the question,

We have the following information:

Hynix is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number X. He also knows their difference is 11.

Now, let's take the larger number to be y.

So, we have:

y = 2(4+x)

y = 8+2x

y-x = 11 ....(2)

Putting the value of y from above equation:

8+2x-x = 11

8+x = 11

x = 11-8

x = 3

Now, putting the value of x in equation 2:

y-3 = 11

y = 11+3

y = 14

Hence, the equation that he can use to find the value of the smaller is 8+2x = y and y-x = 11 where y is the larger number and the value of x is 3 and that of y is 14.

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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A. 7.8

B. 9.8

Step-by-step explanation:

A. 2006 = 3 years

y = 7.1(1.03)ˣ

y = 7.1(1.03)⁽³⁾

y = 7.1(1.092727)

y = 7.7511907

y = 7.8

----------------------------------------------------------------------------------------------------------

B. 2014 = 11 years

y = 7.1(1.03)ˣ

y = 7.1(1.03)⁽¹¹⁾

y = 7.1(1.38423387)

y = 9.82806047

y = 9.8

If it says, "Round to the nearest tenth," the answer is 9.8. If the answer says, "Round to the nearest whole number," the answer is 10

I hope this helps!

6 people carry the weight 216kg at a time. How many people are needed to carry the weight of 360kg

Answers

The number of people needed to carry the weight of 360 kg is 10 people.

The number of people are needed to carry the weight of 360kg can be calculated as follows ?

The first step is to put the demanded weight and the known weight of the required number of people into a formula which demanded weight is placed on numerator side and the known weight of the required number of people is placed on denominator side.

Formula

= [tex]\frac{360}{216}[/tex]

The next step is to multiply the number that has been entered into the fractional formula by the number of people who are known to be able to carry 216 kg

 =  [tex]\frac{360}{216}[/tex]  × 6

= 10

Hence, the number of people needed to carry the weight of 360 kg is 10 people.

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You would need 10 people to carry a weight of 360 kg.

To find out how many people are needed to carry a weight of 360 kg, we can set up a proportion based on the information provided.

Let's assume that x represents the number of people needed to carry the weight of 360 kg.

The proportion can be set up as follows:

6 people / 216 kg = x people / 360 kg

We can solve this proportion by cross-multiplying:

216 kg · x people = 6 people · 360 kg

216x = 2,160

Dividing both sides of the equation by 216:

x = 2,160 / 216

x = 10

Therefore, you would need 10 people to carry a weight of 360 kg.

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Suppose T: ℝ3→ℝ2 is a linear transformation. Let U, V and W be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(W).
U = 1, -3, 3 V = −1,3,−2 W = −3,9,−7 T(U) = 2,2 T(V) = 0,1

T(W) = ???

Answers

By using the concept of Linear Transformation, the value of T(W) obtained is T(W) = (2, 6)

What is Linear Transformation?

A function through one vector space to the next that respects this same underlying (linear) structure of the each vector space is called a linear transformation. A linear operator, or map, is another name for a linear transformation. The transformation is known as just an endomorphism as well as, if invertible, an automorphism when the range of a transformation matches the domain. The underlying field of the two vector spaces must be identical.

Let u, v be two element of a vector space V and let c be a scalar

T is said to be a Linear Transformation if

i) T(u + v) = T(u) + T(v)

ii) T(cu) = cT(u)

T: [tex]\mathbb{R}^{3} \rightarrow \mathbb{R}^2[/tex] is a linear transformation

U = (1, -3, 3), V = (−1,3,−2)

W = [tex]c_1[/tex] U + [tex]c_2[/tex] V

(-3, 9, -7) = [tex]c_1[/tex](1, -3, 3) + [tex]c_2[/tex](-1, 3, -2)

[tex]c_1 - c_2 = -3[/tex] ...... (1)

[tex]3c_1 - 2c_2 = -7[/tex] ..... (2)

Multiplying (1) by 2

[tex]2c_1 - 2c_2 = -6[/tex] .... (3)

Subtracting  (2) from (3),

[tex]c_1 = 1[/tex]

Putting the value of [tex]c_1[/tex] in (1)

1 - [tex]c_2[/tex] = -3

[tex]c_2 = 3 + 1\\c_2 = 4[/tex]

T(W) =  T(U) +  4T(V)

T(W) = (2, 2) + 4(0, 1)

T(W) = (2, 6)

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Challenge Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the
wire they need. Andy needs 25 feet of the wire. Emily needs 15 yards of the wire. How much will each of them spend for wire?





Cost of Wire
Length in
Inches (x)
110
125
160
185
Cost in
Dollars (y)
5.50
6.25
8.00
9.25

Answers

Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.

1 = 12 ℎ

1 = 3 = 36 ℎ

=5.50/110 (⁄ℎ)

=6.25/125 (⁄ℎ)

=8.00/160 (⁄ℎ)

=9.25/185 (⁄ℎ)

Andy needs 25 feet of the wire

25(12 inches) = 300 inches

300(5.50 / 110) = 15(Dollars)

Andy will spend $15 for her wire.

Emily needs 15 yards of the wire

15(36 ℎ) = 540 ℎs

110a + 125b + 160c + 185d ≥ 540

6(110) = 660

4(110) + 125 = 565

3(110) + 2(125) = 580

110 + 3(125) = 485

2(125) + 2(160) = 570

110(5.50/110) + 3(145)6.25/125 = 27.25

540 (5.50/110) = 27

Emily will spend $27.25 for her wire.

If she can cut the wire, then Emily will spend $27 for her wire.

∴ Andy will spend $15 for her wire. Emily will spend $27.25 for her wire.

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Bella manages a cafe.She bought 15.625 pounds of oranges . She mutiplies the weigh of the oranges by 0.4 to find the weight of the oranges she will use in fruit salads

Answers

The weight of an object is the amount of gravitational force applied on the object by the earth. The weight of the oranges to be used is 6.25 pounds.

The level of influence of the earth's gravitational pull on an object determines its weight. This depends also on the size of the mass of the object.

Given that Bella bought 15.625 pounds of oranges.

Let the weight of the oranges required to prepare fruit salad be represented by W. Then the weight of the oranges required is 0.4 of the weight of oranges bought, so that;

W = 0.4 * 15.625

   = 6.25

W = 6.25

Thus, the weight of the oranges required to be used for fruit salad is 6.25 pounds.

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2 is a factor of 81. Show how you know

Answers

2 isn’t a factor of 81 .

Factors of 81 = 1, 3, 9, 27, 81.

Determine the y-intercept of the line
11x - 8y = 22

Answers

Answer:

- 2.75  or - 2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Put in zero for x to solve for y

11x -8y = 22

11(0) -8y = 22

-8y = 22  Divide both sides by -8

y = -2.75

(0, -2.75)

Answer:

[tex]-\frac{22}{8}[/tex] or [tex]- \frac{11}{4}[/tex] in mixed number form, [tex]-2\frac{3}{4}[/tex] simplified

Step-by-step explanation:

Minus 11x from 11x and 22.
You will then get -8y=11x+22.
Divide all the numbers by -8y.
You will get y=-11/8x-22/8
So the y-intercept is -22/8 or -11/4
I hope I got this right

also confused about this

Answers

Graph (B) represents the base function f (x)=√x and the stretched function [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex].

What is graph?

Graphs are used to map functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis, vertical y-axis.

The graph of this function can be obtained by putting different values of x.

x = 0 gives f (x) = 0

x = 1 gives f (x) = 1

x = 2 gives f (x) = 1.414

x = 3 gives f (x) = 1.732

Drawing these points in the graph and connecting we get a curve(black) which can be seen in all  given diagram (A), (B), (C), (D).

Now, we have stretched function  [tex]g (x) = \frac{-3}{2} \sqrt{x}[/tex]

The graph of this function can be obtained by putting different values of x.

x = 0 gives g (x) = 0

x = 1 gives g (x) = -1.5

x = 2 gives g (x) = -2.121

x = 3 gives g (x) = -2.598

Drawing these points in the graph and connecting we get a curve(red) which can be seen in diagram (D).

By combining these two graphs we get the graph of diagram (D).

Therefore, the base function f (x) and the stretched function g (x) together represents the diagram (D).

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In a direct variation, y=80 when x=5. Write a direct variation equation that shows the relationship between x and y.

Answers

As per the concept of direct variation, y = 80 when x = 5, then the direct variation equation shows the relationship between x and y will be y = 16x

Equation

Basically, the equation is a statement that two expressions, which include variables and/or numbers, are equal. And in essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given,

In a direct variation, y=80 when x=5.

Here we have to write a direct variation equation that shows the relationship between x and y.

Here we have given that,

The value of y = 80 when x = 5

Therefore, there are often two different sorts of variables in analytics.

And we have obtained that independent variables will have an impact on dependent variables.

Now, what occurs as a result of the independent variable is referred to as a dependent variable.

Here we have given equation x is the independent variable while y is the dependent variable.

So, it can be written as,

=> 80 = 16(5)

Therefore, the resulting equation is y = 16x

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I Need help wit this one

Answers

The area of the shaded region is 422.16 cm sq.

Given,

In the question:

Radius of the circle is 12 cm.

The length of rectangle is 10cm

and, Breadth of the rectangle is 3cm.

A rectangle sits inside a circle.

To find the Area of the shaded region.

Now, According to the question;

we know that:

Area of a circle is = [tex]\pi r^2[/tex]

Radius = 12cm

Area of a circle is = 144[tex]\pi[/tex]

Using [tex]\pi[/tex] = 3.14

Area of a circle is = 144 x 3.14 = 452.16 cm sq.

The area of rectangle = 3 x 10 = 30cm sq.

So, The area of the shaded region:

452.16 - 30 = 422.16cm sq.

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help
If f(1) = 3 and f(n) = f(n − 1) – 3 then find the value of f(4).

Answers

If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.

Define function.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Given,

Function:

f(1) = 3

f(n) = f(n - 1) -3

Let n = 2

f(2) = f(2-1) - 3

f(2) = 3 - 3

Relation:

f(2) = 0

Let n = 3

f(3) = f(3 -1) - 3

f(3) = 0 -3

f(3) = -3

Let n = 4

f(4) = f( 4 -1) - 3

f(4) = -3 -3

Value:

f(4) = -6

If f(1) = 3 and f(n) = f(n − 1) – 3 then the value of f(4) is -6.

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Barabas received a mark of 50% on a recent test. Barabas answered 13 of the first 20 questions correctly. Barabas also answered 25% of the remaining questions on the test correctly. If each question on the test was worth one mark, how many questions in total were on the test?

Answers

Answer:

  32

Step-by-step explanation:

You want the total number of questions on the test if the final score was 50%, and there were 13 correct out of the first 20, and 25% correct among the remainder.

Setup

Let q represent the number of questions on the test. Then (q-20) is the number of remaining questions, and the number correct is ...

  13 +0.25(q -20) = 0.5(q)

Solution

  8 +0.25q = 0.5q . . . . . . . simplify

  8 = 0.25q . . . . . . . . . . . . subtract 0.25q

  32 = q . . . . . . . . . . . . . . multiply by 4

There were 32 questions in total on the test.

can you please answer this? its timed so dont take too long!

Answers

2g³-5g²+6 is the equivalent expression of  (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

5g⁴+5g³-17g²+6g-3g⁴-6g³+7g²+12/g+2

2g⁴-g³-10g²+6g+12/g+2

Factorize the numerator

(g+2)(2g³-5g²+6)/g+2

g+2 in numerator and denominator will be cancelled.

2g³-5g²+6

Hence, 2g³-5g²+6 is the equivalent expression of  (5g⁴+5g³-17g²+6g)-(3g⁴+6g³-7g²-12)/g+2

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Look at this set of ordered pairs:
(0, 0)
(0, -19)
(-8, 0)
Is this relation a function?
yes
no

Answers

No it is not a function. There are multiple x- values to many y-values

Factorise the following 2x + 10

Answers

Answer:

2(x+5) I believe

Step-by-step explanation:

What is 2+2 - 5 + 42 - 64 (5 x 5) - 32 x 1/2 + 6/5 * 2^5

Answers

Answer:

-1536.6 if not the answer den sorry

Step-by-step explanation:

Answer:

its -39363/25, -1574.32, and -1574 13/25 (hopefully this helps, sorry if its wrong)

If someone uses 400 liters of orange juice, how much strawberry juice would they need?

Answers

Answer:

you need to post the rest of the problem for us to figure it out. if someone walked up to you and asked you this you'd think they're out of their mind

Whiskers the cat weights 2 2/3 kg piglio weighs 4 kg how many times as heavyas whiskers is piglio

Answers

The weight of Piglio is 3/2 times of weight of Whishkers.

Fraction is comparison between two mathematical numbers or quantities.

Given that, Whisker weights 2 2/3 kg

Piglio weights 4 kg

Weight of Piglio is fraction of weight of Whisker = 4/(2 2/3) = 4/(8/3) = (4*3)/8 = 3/2 times

The weight of Piglio is 3/2 times of weight of Whishkers.

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Find the equation of the straight line passing through each of the following pairs of points.
( 11, 13) and ( 14, 19)

Answers

The equation of the line is, y = 2x - 9.

What is the point slope form of the equation of line?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Consider, the given two points, (11, 13) and (14, 19).

First to find the slope of the line, using the given two points,

[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{19-13}{14-11} = \frac{6}{2} =2[/tex]

Therefore, the slope of the line is, 2.

Now to find the equation of line.

Consider, the point - slope form of the line,

[tex]y-y_1=m(x-x_1)[/tex]                 ..(1)

where, [tex](x_1, y_1)[/tex] is one of the given point and m is the slope of the line.

Here, [tex](x_1, y_1) = (11, 13), m = 2[/tex]

Substitute the values in the equation (1).

[tex]y-13=2(x-11)\\y-13=2x-22\\y=2x-22+13\\y=2x-9[/tex]

Therefore, the equation of line is, [tex]y=2x-9[/tex].

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When collecting data, what is a sample?

Thank you for helping.

Answers

Answer:

Step-by-step explanation:

Artista  ,  it's the 3rd answer,   a random set from the group being studied

2B math need help with this problem have a math test tomorrow

Answers

Answer:

∴ x = 113

Step-by-step explanation:

5-sided polygon: pentagon

total interior angles of a pentagon

= (5-2)  × 180°  

= 540°

x + x + x + 14 = 540° - 90° - (180 - 83)°

        3x + 14 = 540 - 90 - 97

               3x = 353 - 14

               3x = 339

              ∴ x = 113

how to solve peggy is preparing a colored frosting for a cure. for the right shade of purple, she needs 25 milliliters of a 44% concentration food coloring. the store has a 25% red and a 50% blue concentration of food coloring. how many milliliters each of blue food coloring and red food coloring should be mixed to make the necessary amount of purple food coloring?

Answers

Answer:

25% red and 28% blue.

Step-by-step explanation:

Given that x is a nonnegative number, a student conjectured that x+4

Answers

The value of x is a counter example to the student's conjecture (x = 2).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that x is a non-negative number, a student conjectured that x + 4 < x².

Since x is a non-negative number, A and B are eliminated.

This leaves C and D at the value of x = 2,

2 + 4 < 2²

6 < 4 is false.

Therefore, the value of x is a counterexample to the student's conjecture (x = 2).

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Ben and Katy throw darts at a target.
Ben's ratio of hits to misses is
5:1
Katy's ratio of hits to misses is 3:1
Ben says,
"5 is bigger than 3, so I must have more hits than Katy."
Give an example to show that this might not be true

Answers

In the given ratio, the statement "5 is bigger than 3, so I must have more hits than Katy." is false. Because this one refer the missing rate.

Ratio:

The relationship between two things when it is expressed in numbers or amounts is known as ratio.

Given,

Ben and Katy throw darts at a target. Ben's ratio of hits to misses is

5:1 Katy's ratio of hits to misses is 3:1

Ben says, "5 is bigger than 3, so I must have more hits than Katy."

Here we need to show that this might not be true.

Here we have the following missing ratios,

Ben's missing ratio = 5 : 1

Katy's missing Ratio = 3 : 1

Here Ben says  "5 is bigger than 3, so I must have more hits than Katy."

While we carefully, looking into the given question, we have identified that the given ratios are represents the loosed dart.

So, the given statement is wrong.

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What value of x is in the solution set of the inequality 9 2x 1 9x 18?.

Answers

The value of x in the solution set of the inequality 9(2x+1) < 9x-18 is

x <-3.

Given inequality:

9(2x+1) < 9x-18

simplifying

9*2x + 9*1 < 9x - 18

18*x + 9 < 9x - 18

18x + 9 < 9x - 18

combining the like terms

18x - 9x + 9 < -18

9x + 9 < -18

combining the constants

9x < -18-9

9x < -27

divide by 9 on both sides

9x/9 < -27/9

x < -27/9

x < -3

Therefore the value of x in the solution set of the inequality 9(2x+1) < 9x-18 is x <-3.

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Which equation is the standard form of -8x + 3x² = -19?
8r 32² 19 0

Answers

The standard form of the equation -8x + 3x² = -19 is 3x² - 8x + 19 = 0.

How to write equation in standard form?

The standard form of quadratic equation is ax² + bx + c = 0, where 'a' is the leading coefficient and it is a non-zero real number.

The standard form of quadratic equation with a variable x is of the form ax² + bx + c = 0, where a ≠ 0, and a, b, and c are real numbers.

Therefore, a, b and c are constant and x are the variables.

Let's represent the quadratic equation in standard form.

-8x + 3x² = -19

using the format ax² + bx + c = 0,

3x² - 8x + 19 = 0

where

a = 3b = -8c = 19

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Write the following expressions in correct algebraic notation:
a) 7 x p
b) p x p

Answers

The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Given,

In the question:

a) ) 7 x p

b) p x p

To write the above expressions in correct algebraic notation.

What are the algebraic notations and operations?

The algebraic expressions are used to solve mathematical equations. There are 3 types of algebraic expressions namely, monomial, binomial, and polynomial expressions. The basic algebraic operations are addition, subtraction, multiplication, and division.

Come to the question:

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

Hence, The Algebraic Notation of the expression is :

a) 7 x p

7 is multiplied to the p

b) p x p

p is multiplied itself.

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The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. The equations of line s and t form a system of equations. The solution to the system of equations is located at point P. Which graph correctly shows line s, line t, and point P?

Answers

The graph A is correctly shows for the line s, line t, and point P.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Now,

Solve the both equation of line for the solution as;

Since, The equation of line for s,

⇒ y = 1/3x - 3

And, The equation of line for t,

⇒ y = - x + 5

Equate both equation, we get;

⇒ 1/3x - 3 = - x + 5

⇒ 1/3x + x = 5 + 3

⇒ 4/3x = 8

⇒ x = 8 × 3 / 4

⇒ x = 2 × 3

⇒ x = 6

And, ⇒ y = - x + 5

⇒ y = - 6 + 5

⇒ y = - 1

Thus, The solution of the lines is;

Point P = (6, - 1)

Clearly, The graph A is correctly shows for the line s, line t, and point P.

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PLEASE HELP !!!! brainliest will be given to first answer

John is in charge of feeding the pigs and cows on the farm. The cow's food costs twice as much as the pig's food. There are 46 cows and 22 pigs on the farm. John has a $860 budget for food a month. How much can John spend on food for each cow per month?

Answers

Answer:

Approximately $15 per cow

Step-by-step explanation:

Other Questions
Janelle traveled 9.6 miles o her delivery route in 1.7 hours at the same rate what would be closest time it will take for janelle to travel 20 miles if a household's income rises from $46,000 to $46,700 and its consumption spending rises from $35,800 to $36,400, then its: julian looks around the room and recognizes samantha, who is wearing julian's favorite red shirt today. this visual experience is an example of . 2st amendment freedoms nutrition therapy for gallbladder disorders includes nutrition therapy for gallbladder disorders includes eliminating gas-forming foods. lowering fat intake. increasing caloric intake. reducing cholesterol intake. a client is prescribed furosemide to manage heart failure. what laboratory values should the nurse monitor while the client receives this medication? select all that apply. which of the following is not a probable explanation for the threshold of lactate appearance in the blood? The research team wishes to understand the difference in rates of midwesterners who regularly pay extra for guacamole when offered versus californians. The team will take a random sample of 100 midwesterners and 100 californians to estimate the difference in the rates. Which parameter/situation are we investigating?. at the end of a shift, the charge nurse shares with the new nurse she had done an excellent job with a difficult patient that day. the new nurse was upset by the way the family of the patient had treated her. she shared her feeling with the charge nurse. the charge nurse offered to change the assignment the following day. what is the charge nurse displaying? nabil is saving 2.35 each day how much mony he will have by the second weekair Examples of Precedents in common life (not law) Automobile engines built today are designed to be gas efficient. Gas-efficient engines most likely affect a city by reducing. which of these is an example of a measure that a developmental psychologist may use? group of answer choices interactions among dyads post-hoc fallacy dependent variable random assignment Which of the following is not an example of how you can reduce the fullcost of higher education? Can somebody please solve this if you send picture please send good quality as you read the post, think about what the writer's agenda might be with regard to gmos. what seems to be the main purpose of the blog post? What is the difference between cost of production per unit under marginal costing and cost per unit under absorption costing?. Match These16 PointsMatch each item in Column A with its definition in Column B. Write the correct letter in theblank provided. Then answer the following questions with two or three sentences each.Column AColumn BA. early AmericansB. huge animals with shaggy fur and long tusks,hunted by early Americans1. Atlantis2. artifacts3. Beringia4. archaeology5. Asia6. nomads7. mastodon8. spears9. migration10. maize11. carbon dating12. farmers, hunters, fishers,tradersC. scientific method used to determine the age of abone or piece of woodD. mass movement of people into a new homelandE. ancient stone tools, weapons, baskets, and carvingsF. people who moved from place to place, mainly insearch of foodG. long pole with a sharp point used to hunt bisonand other animalsH. continent once connected to the Americas by aland bridgeI early form of corn, first raised in Mexico about9,000 years agoJ. land bridge that once joined Siberia to present-dayAlaskaK. an island that was supposed to have sunk in theAtlantic OceanL. the study of ancient peoples Select the correct answer. John constantly needs assistance from his colleagues at work. He feels helpless and lacks conviction in his ideas. Which type of decision maker is john? a. Mystic b. Agonizer c. Evader d. Fatalist e. Plunger. when removing the old dressing from the site of a penrose drain, the nurse notes that some of the dressing material has stuck to the client's skin. what action should the nurse take next?