How would I do this one

How Would I Do This One

Answers

Answer 1

Answer/Step-by-step explanation:

y = -x - 3

m = slope = (-1/1)

b = y-intercept = -3 or (0, -3)

Point 1: (0, -3)

Point 2: (-1, -2)

Point 3: (1, -4)

I hope this helps!

Answer 2

Answer:

Step-by-step explanation:

  y=-x-3

x | -3 | 0 |

y |  0 | -3|

1) x=-3

y=-(-3)-3

y=3-3

y=0

Thus, (-3,0)

2) x=0

y=-0-3

y=-3

Thus, (0,-3)

How Would I Do This One

Related Questions

20 Words -> 2 Minutes

Find how long will it take to type 1650 words

Answers

Answer:

165 minutes

Step-by-step explanation:

use the second derivative test for concavity and the phase line to produce a phase portrait and sketch one typical solution curves in each region determined by the equilibrium solutions

Answers

if the second derivative is negative, then the first derivative is decreasing, Graphically, we see this as the curve. of the graph being concave down, that is, shaped like a parabola open downward.

The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.

When second derivative is positive concavity?

If the second derivative is positive at a point, the graph is concave up at that point. If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a point, the graph is concave down.

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Lucy used 3 3/4 cups of sugar for her lemonade stand. She divided the
sugar, in equal amounts, into 6 pitchers. How much sugar went into each
pitcher?

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] ÷ 6  Change 3 [tex]\frac{3}{4}[/tex] into an improper fraction

Another name for 1 is [tex]\frac{4}{4}[/tex] so another name for 3 is [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] or [tex]\frac{12}{4}[/tex]

[tex]\frac{12}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{4}[/tex]   So we now have

[tex]\frac{15}{4}[/tex] ÷ 6   or

[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{6}{1}[/tex]  If I use the common denominator of 4, I can divide straight across.

[tex]\frac{15}{4}[/tex] ÷[tex]\frac{24}{4}[/tex]  Now divide across and we get

[tex]\frac{\frac{15}{24} }{\frac{4}{4} }[/tex] = [tex]\frac{\frac{15}{24} }{1}[/tex]= [tex]\frac{15}{24}[/tex]  Divide the top and bottom by 3 to simplify to [tex]\frac{5}{8}[/tex]

This is not the most traditional way to solve, but I think it is more intuitive.

Select all ratios equivalent to 1:3.
7:21
Submit
6:18
2:9

Answers

the correct answers are 7:21 and 6:18


Here is a list of ingredients needed to make 6 pancakes.
Flour 140 grams
Eggs 2
Milk 220 millilitres
Complete the list of ingredients needed to make 9 pancakes.

Answers

Answer:

Flour: 210 grams

Eggs: 3 Eggs

Milk: 330 milliliters

Step-by-step explanation:

First we need to find the amount of ingredients needed for One pancake

Flour:

140 grams / 6 pancakes =  [tex]\frac{70}{3}[/tex]grams

Eggs:

2 eggs / 6 pancakes = [tex]\frac{1}{3}[/tex] eggs

Milk:

220 milliliters / 6 pancakes = [tex]\frac{110}{3}[/tex] milliliters

Now we just multiply them by 9:

Flour: [tex]\frac{70}{3} *9 = 210[/tex] grams

Eggs: [tex]\frac{1}{3}*9 = 3[/tex] eggs

Milk: [tex]\frac{110}{3}*9 = 330[/tex] milliliters

Brainly pls :))

0. Michael works in a supermarket. He is paid $10.80 per hour. How much will he earn if he works a 37 hour week?​

Answers

Answer:

Michael will earn $399.60 for a 37-hour week.

Step-by-step explanation:

[tex]10.80 \times 37 = 399.60[/tex]

okay so this question is very easy you just supposed to multiple the paid per hour amount with the hours per week.

Data

paid per hour $10.80

find how much for 37 hours

Solution

37 * 10.80

=$399.6

Montraie bought snacks for his team's practice. He bought a bag of popcorn for $2.45
and a 18-pack of juice bottles. The total cost before tax was $29.99. How much was
each bottle of juice?

Answers

Taxes can be paid in cash or labor and can be either direct or indirect.

Cost of juice bottle is $27.54.

What is tax?

Tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs. A tax is a mandatory financial charge or some other type of the levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and the various public expenditures (regional, local, or national). Around 3000–2800 BC, the first recorded taxation was enacted in ancient Egypt. Non-compliance with the law includes failing to pay on time as well as evading or resisting taxation. Taxes can be paid in cash or labor and can be either direct or indirect.

Most nations have a tax system in place to finance public, shared, or agreed-upon national necessities as well as governmental duties. While some scale taxes are progressive based on brackets of annual income amounts, most impose a flat percentage rate of taxation on personal annual income. The majority of nations impose taxes on both personal and business income. The Wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, usage taxes, payroll taxes, fees, and/or tariffs are frequently levied by nations or subunits.

A bag of popcorn = $2.45

Juice bottles =18

Total cost = $29.99

Cost of juice bottle = $29.99-$2.45= $27.54

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1. Write a multiplication expression that you can use
to find 16 ÷ 4/5

Answers

Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex].

What is multiplicative inverse?

A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1

2 x [tex]\frac{1}{2}[/tex]= 1. It is also known as a number's reciprocal.

Given Data

16 ÷ [tex]\frac{4}{5}[/tex]

Reciprocating,

16 × [tex]\frac{5}{4}[/tex]

Simplifying,

4(5)

20

Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex]

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Jada cuts an 11 inch strip of paper into 5 equal parts, how many inches long is each part?

Answers

Answer:

2.2

Step-by-step explanation:

11 / 5 = 2.2 inches

Order the numbers from least to greatest:
-8/9, 7/8, 1.7, -10/7, 0.3

Answers

Answer: -10/7 < -8/9 < 0.3 < 7/8 < 1.7

Step-by-step explanation:

y = {(2, 6), (3, 1, 4), (1), (5, 6)} Is y a function and why? No, there is a limited number of ordered pairs in this list. Yes, there is more than one ordered pair in this list. Yes, no two ordered pairs in this list has the same second element. No, the elements of the set of y are not all ordered pairs.

Answers

The reason with respect to this function is: D. No, the elements of the set of y are not all ordered pairs.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs does not represent a function because the elements of the set of "y" aren't all ordered pairs i.e (3, 1, 4).

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in 1980 the population of mexico was about 67.38 million. for the years 1980 through 1985, the population grew at a rate of about 2.6% per year. (a) find a formula for an exponential function that gives the population of mexico. (let n be the population in millions and t be the number of year since 1980.) n(t)

Answers

∀Answer: keed

Step-by-step explanation: L trash


13. A jeweler wants to make a triangular pendant for a necklace using three pieces of wire. He
has two pieces of wire with lengths of 12 millimeters and 15 millimeters. Describe the possible
lengths for the third wire.

Answers

Diameter =35mm
∴ Circumference of circle
=2×π×r =2×π×17.5=110mm

i) The total length of the silver wire required
= Circumference of circle + (5×35)
=110+175 = 285mm

(ii) The area of each sector of the brooch
=
10
Area of circle


=
10
π×17.5×17.5


=
4
385

mm
2

The annualized interest on Jill’s two investments amounted to 1560. The savings account earned 3% And the cd earned 5% interest. If the amount she deposited in the savings was twice the amount of her deposit in the cd, how much did she deposit into each account

Answers

Based on the annualized interest from the investments that Jill went into, the amount deposited in savings was $28,363.64 and the amount in the cd was $14,181.82.

How find the amount deposited?

Assuming that the amount invested in the cd was x, then the amount invested can be modeled as:

= 5%x

= 0.05x

The amount invested in savings was:

= 2 x 3% x

= 2 x 0.03x

= 0.06x

The amount invested in cd was:

0.06x + 0.05x = 1,560

0.11x = 1,560

x = 1,560 / 0.11

x = $14,181.82

The amount in the savings was:

= 14,181.82 x 2

= $28,363.64

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Line G and lineH are complementary angles. If mlineG = (6x - 15)' and mlineH= (3r + 6)", find H

Answers

Since angle G and angle H are complementary angles, the value of x is 11 while angle H is equal to 39 degrees.

What is a complementary angle?

A complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this formula:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the formula, we have;

(6x - 15)° + (3x + 6)° = 90°

9x - 9 = 90°

9x = 90 + 9

9x = 99

x = 99/9

x = 11

Next, we would determine the value of H:

H = 3x + 6

H = 3(11) + 6

H = 33 + 6

H = 39 degrees.

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Complete Question:

Angle G and angle H are complementary angles.  If G= (6x-15)° and H= (3x+6)° find the x value and H

A plane flew at a constant speed between Boston and Philadelphia. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is d=350t. How long will it take the airplane to travel 280 miles?

Answers

Based on the equation that relates the distance traveled by the plane going from Boston to Philadelphia, the time it would take for the plane to travel 280 miles is 48 minutes

How to find the time taken?

You can use the formula given to find the amount of time taken by the plane to travel 280 miles.

The formula is;

d=350t

distance travelled = 350 x time

Solving for time taken gives;

280  = 350 x time

Time = 280 / 350

Time = 0.8 hours x 60 minutes per hour

Time = 48 minutes

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A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1 per slice of pizza. Ava purchased a membership to this pizza shop. How much would Ava have to pay the pizza shop if she bought 18 slices of pizza this month? What would be the monthly cost for x slices of pizza? mx+b

Answers

The cost of 18 slices of pizza is $18.

The monthly cost for x slices of pizza is $25 + x

What is the monthly cost?

The equation that represents the amount of money that Ava would have to pay when she buys 18 slices of pizza is a linear equation. A linear equation is an equation that has one variable raised to the power of one. The linear equation increases by a fixed amount. When drawn on a coordinate plane, a linear equation is a straight line.

The total monthly cost is a function of the membership fee, the cost per pizza and the number of pizzas bought.

The form of the linear equation is :

fx = mx + b

b = slope m = intercept

Total amount paid = membership fee + total cost of pizzas

Total amount paid for 18 pizzas = cost per pizza x number of pizzas bought

$18 x 1 = $18

Total monthly cost for x pizzas = membership fee + (discounted price x number of pizzas bought)

$25 + ($1 x x)

$25 + $1x = $25 + $1x

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Chris and jeff sold 15.5 pounds of trail mix. they sold trail mix for 3.98 per pound. how much money did they collect explain?
P.s please help!

Answers

Answer: $61.69

Step-by-step explanation: Since is say "per pound", it means for each 1 singular item/weight/etc. So for Each pound, you gain 3.98 dollars. Multiply 15.5 and 3.98 to get 61.69.

Jill wants to rent a car. Rental Company A charges $40 per day plus $0.10 per mile driven. Company B charges $35 per day plus $0.15 per mile driven. After how many miles driven will the price charged by each company be the same?

Answers

Considering the definition of an equation and the way to solve it, after 100 miles driven the price charged by each company will be the same.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

Being "x" the number of miles driven, and knowing that:

Rental Company A charges $40 per day plus $0.10 per mile driven. → Price of company A= 40 +0.10xRental Company B charges $35 per day plus $0.15 per mile driven. → Price of company B= 35 +0.15xThe price charged by each company is the same,

the equation is:

Price of company A= Price of company B

40 +0.10x= 35 +0.15x

Solving:

40 - 35= 0.15x - 0.10x

5= 0.05x

5 ÷ 0.05= x

100= x

Finally, after 100 miles driven the price charged will be the same.

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Vector v = <3, 1>. Describe how you would use a graphical method to add vector v to vector u (shown in the graph below). Then, write the resultant vector in component form.

Answers

The component form of the resulting vector is <5, -4>

Vector:

Vector means the objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

Given,

Vector v = <3, 1>.

Here we need to find the value of u through the given graph and we have to perform the addition operation in order to find the component form of the resulting vector.

Here we have the value of vector v = <3,1>

While observing the graph we have identified as the value of vector u is,

x value = 2

y value = -5

So, the component from of vector u = <2, -5>

Now the addition of u + v is equal to,

=> u + v

=> <3,1> + <2, -5>

=> < (3 + 2) , (1 + (-5))>

=> < 5, -4>

Therefore, the component form of the resulting vector is <5, -4>.

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Answer:

Draw vector v in standard position. To add v to u, shift v 2 units to the right and 5 units down so its initial point coincides with the terminal point of u. Use a dotted line to depict the shifted vector v.

Now there are three sides of a parallelogram. To complete the parallelogram, draw a dotted line from the tip of vector v in the standard position to the tip of the shifted vector v.

Finally, draw the vector represented by the diagonal of the parallelogram with its initial point at the origin. The resultant vector, u + v, is this diagonal of the parallelogram in which the two vectors, u and v, are adjacent sides. The components of u + v are <5, -4>.

Step-by-step explanation:

Plato/Edmentum

Using the graph , find g (0) and find x such that g (x) =-1

Answers

In order to find g(0), we just need to find the value of the function for x = 0.

Looking at the graph, for x = 0 we have y = 7.

Therefore g(0) = 7.

To find the value of x for g(x) = -1, let's look for the value of x where y = -1.

Looking at the graph, for y = -1, we have x = -2.

Therefore g(x) = -1 for x = -2.

Evaluate the expression when r is -7 and s is 2.

rs^3

When r is -7 and s is 2, rs^3 is [ ]
(Simplify your answer)

Answers

Answer:

-56

Step-by-step explanation:

Given that,

r => -7

s => 2

To solve this given expression, replace r & s with -7 & 2 respectively.

Let us solve it now.

[tex] \sf \: r {s}^{3} \\ \sf - 7 \times {2}^{3} \\ \sf- 7 \times 8 \\ - 56[/tex]

Myra is taking her first hot-air balloon ride! The balloon was at an altitude of 288 meters until an air current caused it to rise another 36 meters.
What is the altitude of the balloon now?

Answers

The altitude of the balloon now is 324 meters.

Altitude , height, or depth are terms used to describe the measurement between a reference datum and a location or item, usually in the vertical or "up" direction.

There are various definitions and reference points used depending on the circumstance (e.g., aviation, geometry, geographical survey, sport, or atmospheric pressure). The term "elevation" or altitude is commonly favored in the context of geography, despite the fact that the term "altitude" is regularly used to refer to a location's height above sea level.Vertical distance measurements conducted in the "down" direction are frequently referred to as "depth" and the vertical distance in the up direction is altitude.

The height of the balloon is 288 meters.

The balloon rises by 36 meters.

The altitude of the balloon now = 288 + 36 = 324 meters

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Last week, Ellen bought 4 apples for $2.40. This week she bought 9 apples for $5.40. If the cost per apple remains the same, how many apples could she buy next week? Select two that apply.
A.
1 apple for $1.20
B.
3 apples for $1.80
C.
6 apples for $3.40
D.
10 apples for $6.00
E.
13 apples for $8.20
F.
14 apples for $9.00

Answers

Answer:

B & D

Step-by-step explanation:

If it’s 60 cents per apple, you will be able to buy 3 apples for $1.80, and 10 apples for $6.00.

0.60 x 3 = 1.80

0.60 x 10 = 6

Hope this helps! <3

What is the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112° angle?

Answers

The area of the gable if it is a triangle with two sides of 81 feet that meet at a 112 degrees angle is 3041.22 square feet

The two sides of the triangle=81

AB=AC=81 feet

∠A=112 degrees

∠BAD=∠DA =56 degrees

Here we have to use trigonometric functions

To find the height of the triangle we have to use the cos function

cos θ=Adjacent side/Hypotenuse

cos 56=Height/81

Height=81×cos 56

=45.29 feet

To find the length of the DC, we have to use the sine function

sin θ=Opposite side / Hypotenuse

sin 56=Base / 81

Base DC=81×sin 56

=67.15 feet

The base of the triangle BC=BD+DC

=67.15+67.15

=134.3 feets

The area of the triangle=(1/2)×b×h

Where b is the base and h is the height

=(1/2)×134.3×45.29

=3041.22 square feet

Hence, the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112 degrees angle is 3041.22 square feet

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C is in the interior of LABD. m/ABC=
(2x+12)°, m/CBD = (3x + 10)°, and
m/ABD = 72°. Find m/ABC.

Answers

Answer:

32°

Step-by-step explanation:

Using the angle addition postulate,

[tex]3x+10+2x+12=72 \\ \\ 5x+22=72 \\ \\ 5x=50 \\ \\ x=10 \\ \\ \implies m\angle ABC=2(10)+12=32^{\circ}[/tex]

How many tiles measuring 20cm by 50cm are needed to completely cover a wall 4m by 8m?

Answers

320 Tiles of measuring 20cm*50cm will be needed to cover a wall 4m by 8m.

Let to cover the wall of dimension 4m * 8m completely with the tiles we need x number of tiles of size 20cm * 50 cm.
The area of wall must be that of total areas covered by tiles.

So,

Area of 1 Tile = 20cm * 50 cm = 1000sq. cm

Total Area of Tiles needed = 1000x sq.cm

Total Area of wall = 4m * 8m = 400 * 800 = 320000 sq. cm

So, We know that

Total Area of wall = Area of 1 Tile * x

320000 = 1000x

x = 320

Therefore, we can conclude that we will need 320 tiles to cover a wall of area 32sq. metres completely.

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Is this a linear equation if so please explain!

Answers

The equation f(-4) = (x - 2)/2 has a constant slope; so it is linear

What are linear equations?

As a general rule, these are equations with constant rate of change.

How to determine the equation type?

The equation is given as

f(-4) = (x - 2)/2

Rewrite as

f(x) = (x - 2)/2

Simplify

f(x) = x/2 - 2/2

Divide

f(x) = x/2 - 1

A linear equation is represented as

f(x) = mx + c

Where m represents the slope and c represents the intercept

This means that

m = 1/2

c = -1

Hence, the equation is a linear equation

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Find the slope and the y-Intercept of the line.
y=2x-9

Answers

The slope is 2 and the y- intercept is -9

Mrs. Dundee wants to sell the rights to her cajun cookbook. One publisher offered to pay $80,000 and a $3 royalty for every book sold. Publisher two offered to pay $30,000 and $5 for every book sold. Over what ranges of sales will Mrs. Dundee make more from the second publisher than from the first?

Answers

The range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

As per the question statement, Mrs. Dundee wants to sell the rights to her Cajun cookbook so one publisher offered to pay $80,000 and a $3 royalty for every book sold and publisher two offered to pay $30,000 and $5 for every book sold.

We are supposed to find the range of sales for the given conditions.

Let's suppose Mrs. Dundee sold "x" books

30,000 + 5x > 80,000 + 3x

2x > 50,000

x > 25,000

So, the range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

Range: When a function is applied to its whole set of outputs, its range is the set of outputs it produces.

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Use basic facts and patterns to find 30x30 A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain.The total cost for 11 uniforms is Choose... .Since Choose... is Choose... $1,400, the team Choose... enough money to buy 11 uniforms. Question 1Solve the inequality.5a1 i need help with chemistry equation Whats the best way to save money and eat healthy? A Look for coupons and compare sale prices B buy whatever is the cheapest each week C buy less food D decrease your weekly food budget. Which of the following is an example of machine learning? aEncrypting bBlock-based code cAutocorrect dProgramming Tavon has a gift card for $175 that loses $4 for each 30-day period it is not used. He has another gift card for $155 that loses $3.50 for each 30-day period it is not used. a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. What will the value of each card be when they have equal value? a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal. (Type an equation. Use integers or decimals for any numbers in the equation.) Only question #15,17, and 19 please show work THANK YOU ___________ is a disorder that results from an extended exposure to high levels of acid in the body.A) Metabolic alkalosisB) Metabolic acidosisC) Respiratory acidosis i rllly need this one pls help Endocytosis by a single-celled organism is most similar to which function in a muticellular organism? (help pls im taking a test rn) PLEASE HELP!! GIVING 15 POINTS!Carbonic acid (H2CO3) serves as a buffer in human blood. Carbonic acid is a weak acid that dissociates into a bicarbonate ion (HCO3-) and a hydrogen ion (H+). Thus, H2CO3 HCO3- + H+. A decrease in blood pH will result inA) a decrease in the concentration of H2CO3 and an increase in the concentration of HCO3-.B) a decrease in the concentrations of H2CO3 and HCO3-.C) an increase in the concentration of H2CO3 and a decrease in the concentration of HCO3-.D) an increase in the concentration of H2CO3 and HCO3-.E) an increase in the concentrations of H2CO3, HCO3-, and OH-. determine the test average for your math class after completing test Write the equation for this graph using this format y= a |x-h| +k Which medium offers public relations the greatest communication flexibility in terms of reaching people under a variety of circumstances?. In the experiment shown below, if the temperature of the room rose, what would happen to the time taken for the litmus paper to turn blue? How were many Jewish immigrants helped at assimilate into mainstream America culture QUICK HELP!MULTIPLE SELECTION INSTRUCTIONS: Review the answers and check each box that applies. There is more than one correct response, so check more than one box if you see more than one answer that applies.The select line numbers below from Rhet Tour's sample essay have some paraphrasing issues. Select two answers below which most strongly appear to borrow language from a source.1. I agree with Michael Novek that sports are more about beauty and physical prowess than about the debasing2. standards of our society. He makes the claim that people who dont appreciate sporting activities are3. missing the point and missing out on some of the most basic parts of humanity. These people are not really4. understanding what it means to be a human being, because they fail to get the point of sports. The point of5. sports is to compete in victorious battle and win against an opponent and to act in ways that prove sports are a beautiful act of nature.Answer choices: - Line 5-6 - Line 3 - Lines 1-2 - Line 4 a 689 n person lies down on a 2-m, 30-n board. their feet are exactly at the fulcrum. they are 1.75 m tall. the scale reads 330 n. where is their center of mass relative to their feet What did the Middle colonies import and where did they import from?