If Yang solves the inequality -4y> -40, then which of the following answers would be true for this claim?

If Yang Solves The Inequality -4y> -40, Then Which Of The Following Answers Would Be True For This

Answers

Answer 1

Answer:

  (a)  9, 8, 7, 6, 5, ...

Step-by-step explanation:

The solution to the inequality can be done a couple of ways. The solution is similar to that for a one-step linear equation.

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reverse inequality

We know that multiplying numbers by a negative value reverses their order. For example, 1 < 2, but -1 > -2. That is, multiplying by -1 requires a change in the comparison operator if it is to remain true.

For our inequality, we want to solve it by multiplying both sides by -1/4:

  -4y > -40

  (-1/4)(-4y) < (-1/4)(-40) . . . . . multiply both sides by -1/4 (reverses order)

  y < 10 . . . . . . . . . . . simplify

The first few decreasing integer values that are part of this solution are ...

  {9, 8, 7, 6, 5, ...}

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make coefficients positive

We can add 4y+40 to both sides of the inequality. The result will be an inequality with positive coefficients. This can be solved in one step.

  -4y > -40 . . . . . given

  (-4y) +(4y +40) > (-40) +(4y +40) . . . . . . add 4y+40 to both sides

  40 > 4y . . . . . . . . . . . . . . . simplify

  10 > y . . . . . . . . . . . . divide by 10 (order is unchanged)

  y < 10 . . . . . . . . . rearrange to put y on the left

Integer solutions to this inequality are ...

  {9, 8, 7, 6, 5, ...}


Related Questions

Determine the number of zeros of the polynomial function. f(x) = x^3 + 7x^2 + 2

Answers

Answer:

  3

Step-by-step explanation:

The fundamental theorem of algebra tells you the number of zeros is equal to the degree of the polynomial.

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application

The given degree-3 polynomial has 3 zeros.

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Additional comment

Descarte's rule of signs tells you the absence of sign changes among the coefficients means that there are no positive real roots. Changing the sign of the one odd-degree term gives one sign change, so there is one negative real root. The other two zeros are complex.

  one negative real zero, and two complex zeros

A graph confirms that the only real zero is negative and irrational, about -7.04.

Let's say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation

Answers

The value of the temperature in function notation is gotten as; f(x) = 91 - 11x

How to write a function Notation?

Let us first find the relationship between temperature and how long the turkey sits out.

The temperature after the normal 390 minutes  is equal to approximately 6.5 hours.

Let us create a ratio and solve for x, which represents the temperature change during that extra hour after the "normal time sitting out".

Thus;

(7.5/6.5) = (80/80+ x)

Solving for x gives x = -10.7.

This means that for every extra hour it sits out, the turkey cools approximately 11°. When we add that to 80°, we have 91° which is the expected temperature after 390 minutes (6.5 hours) of sitting out.

Thus, the motion as a function of time is;

f(x) = 91 - 11x

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Eli read 1 book in 5 months If he read constantly how many books did he read?

Answers

Answer:

(life span - age when he started reading)/5months =number of books he read

Step-by-step explanation:

(life span - age when he started reading)/5months =number of books he read

look at the picture

Answers

the answer to the question is the first answer choice

factor completely

0.09y² - 0.81

Answers

Answer:

[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]

Step-by-step explanation:

The difference of squares formula gives us

[tex]a^2 - b^2 = (a+b)(a-b)[/tex]

(you can multiply this out to confirm)

[tex]0.09y^2 = (0.3y)^2[/tex]

and

[tex]0.81 = 0.9^2[/tex]

Thus, by the difference of squares formula

[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]

what is the general term for sequence -6;3;15;30?​

Answers

Answer:

[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]

Step-by-step explanation:

This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.

The difference between the 4 terms is in the sequence:

9;12;15

The constant second difference is 3.

Use your method of finding the general term:

2a=3 3a+b=9 a+b+c=-6

a=3/2 3(3/2)+b=9 3/2+9/2+c=-6

b=9/2 c=-12

Standard form for quadratic sequence:

[tex] {an}^{2} + bn + c[/tex]

Therefore your general term is the one stated above in the answer.

Hope that helps!

EAsy math challenge! Click me!

Answers

Answer:

the answer is 64

Step-by-step explanation:

now atleast mark me brainliest answer

Tim has 9 pencils in his book bag. Jaime has 3 more pencils than Tim. Which of the following equations would describe n, the number of pencils that Jaime has in her book bag?

Answers

The equation is 9+3=12

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answers

Step-by-step explanation:

The graph of the cube root parent function y = RootIndex 3 StartRoot x EndRoot is translated to form f(x) shown on the graph.

On a coordinate plane, a cube root function goes through (negative 7, 0), has an inflection point at (negative 6, 1), and goes through (2, 3).

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1

f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1

f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1

Answer:

Step-by-step explanation:

The translation of the parent function is:

g(x) = ∛(x + 6) + 1

How do translations work?

There are two types of translations, these are:

Horizontal translation:

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive the translation is upwards.

If N is negative the translation is downwards.

Here we start with the parent function:

f(x) = ∛x

And we apply two translations such that:

g(x) = ∛(x + a) + b

Such that:

g(-7) = 0

g(2) = 3

Then we have the system of equations:

∛(-7 + a) + b = 0

∛(2 + a) + b = 3

From the options, the only ones that make the first option true are:

g(x) = ∛(x + 6) + 1

Such that when evaluated in x = -7 we get:

g(-7) =  ∛(-7 + 6) + 1 =  ∛(-1) + 1 = 0

When evaluated in x = 2 it gives:

∛(2 + 6) + 1 =  ∛(8) + 1 = 2+ 1 = 3

So the only option that meets these conditions is:

g(x) = ∛(x + 6) + 1

Which is a translation to the left of 6 units and up 1 unit.

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5m³ into cm³
Show the answer step by step ​

Answers

Answer: So you want to convert 5 cubic meters into cubic centimeters? If you're in a rush and just need the answer, the calculator below is all you need. The answer is 5000000 cubic centimeters.

Step-by-step explanation:

Please help
Tell me the solution of this question .. if 7+9=254016 , 3+7=7779240 , 5+8=2496000 then 4+5=?

Answers

Based on the data given on the number pattern, 4 + 5 = 180

Number pattern

7 + 9 = 254016

3 + 7 = 7779240

5 + 8 = 2496000

7 + 9 = (7 × 9)^|7-9| × (7 + 9) × |7 - 9)

= 69² × 16 × 2

= 4761 × 16 × 2

= 254,016

3 + 7 = (3×7)^|3-7| × (3+7) × |3-7|

= 21⁴ × 10 × 4

= 194,481 × 10 × 4

= 7,779,240

So,

4 + 5 = (4×5)^|4-5| × (4+5) × |4-5|

= 20¹ × 9 × 1

4 + 5 = 180

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5, 3.1.24

f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]

Answers

Given that [tex]f(x) = 3x^2 + 5[/tex], we have

[tex]f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32[/tex]

so that

[tex]f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}[/tex]

Isabella is making a scrapbook each page of the scrapbook is a square with a length of 11 in if each page holds three pictures that each have an area of 15 in squared what is the remaining area on each page and square inches that can be used for decoration

Answers

The remaining area of the page will be 80 square inches.


What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

The area of the remaining part will be calculated as;-

Area of the square page will be = 11 x 11 = 121 square inches.

Area of three pictures will be = 15 x 3 = 45 square inches.

So the remaining area will be = 121 - 45 = 80 square inches.

Therefore the remaining area of the page will be 80 square inches.

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the product of a quarter of 3 more than a number a and 2 times a number b

Answers

Answer:

[tex] \frac{1}{4} (3a + 2b)[/tex]

The expression from the given condition is 1/4(3a+4b).

We have given that,

The product of a quarter of 3 more than a number a and 2 times a number b.

What is the quarter?

The quarter means divided into four equal or corresponding parts.

Therefore we get the expression from the given condition is

1/4(3a+4b).

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Examine the following three premises: i. All kids who have a smartphone play mobile legends.
ii. All people who play mobile legends enjoy life.
iii. Some college instructors enjoy life. Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.
1. Therefore, some college instructors have a smartphone.
2. Therefore, some college instructors play mobile legends.
3. Therefore, some kids who play mobile legends are college instructors. Examine the following three premises :
i . All kids who have a smartphone play mobile legends .
ii . All people who play mobile legends enjoy life .
iii . Some college instructors enjoy life . Now consider each of the following six conclusions . For each conclusion , determine whether the argument formed by the three premises and the conclusion is valid or invalid .
1. Therefore , some college instructors have a smartphone .
2. Therefore , some college instructors play mobile legends .
3. Therefore , some kids who play mobile legends are college instructors .​

Answers

Answer:

The increasing number of students who are hooked on playing online mobile games (OMG) is alarming. As such, this study was realized to address the problem. This study assessed the gaming profile towards OMG and its relation to the academic performance of the engineering students of Eastern Visayas State University Tanauan Campus (EVSUTC). Specifically, the study investigated the correlation between student's number of hours spent on playing OMG (at school and home), commonly played OMG (at school and home), reasons for playing OMG and attitudes on playing OMG with academic performance utilizing Eta and Pearson r correlation analyses. A random sample of 134 student respondents were selected through purposive sampling of those who are playing OMG using their mobile phones. Descriptive correlational research design was utilized and a validated survey instrument was employed to gather the needed information. The findings revealed that majority of the students played mobile legends and spent mostly 2 hours playing OMG for a reason of boredom. The overall attitudes of the students on playing OMG were interpreted as Less Favorable (M=2.58, SD=1.13). Out of the independent variables being set in the study, the number of hours spent on playing OMG at home (r=-0.188, p=0.039) and commonly played OMG at school (r=0.203, p=0.045) were found significantly correlated with student's academic performance. Hence, the students' time spent on playing OMG at home and the type of games that students played at school have significant bearing to their academic performance. As such, delimiting student's usage of internet can be made to address the problem.

What is the inverse of p>q

Answers

Inequalities help us to compare two unequal expressions. The inverse of p>q is p<q.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.


Given the inequality that p is greater than q, therefore, the inverse of it will be p smaller than q. Thus, The inverse of p>q is p<q.

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The graph of a function is shown on the coordinate plane below.



Between which two values of x is the function nonlinear and increasing?

A -5 and -3
B -3 and 1
C 1 and 4
D 4 and 6

Answers

The answer to this question is choice B

algebra 2 help needed image below urgent !!!

Answers

Answer:

Domain = x ≥ 0

Range = y ≥ 20

Step-by-step explanation:

The equation in slope-intercept form would look like this:

y = 4x + 20

The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.

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

In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.

So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.

The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.

Determine the equation of the line with slope m=2/3, passing through the point (0,4)

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

The slope-intercept form is y=mx+b. m (the slope) is equal to 2/3, so you can substitute that number in for m. B is the y value of the y-intercept. The y-intercept is (0,4) as given in the problem, so the value of b is 4. You can substitute that value into the equation as well.

A consultant needs to make at least $600 this week. She earns $120 for each
new written piece and $60 for each review. Which of the following inequalities
represents the possible combinations of reviews and new written pieces that
she must complete?
OA. 120x+60 y ≤ 600
OB. 120x+60y < 600
O C. 120x+60y 2 600
OD. 120x+60y > 600
SUBMIT

Answers

The answer is A, She need to make equal to or more than 600 so that <_600 and since there each behind 120 an 60 they both have variables

Fill in the blank. In the triangle below, x=?. Round your answer to two decimal places.

Answers

Answer:

x = 31.5, y = 41.7, z = 48

Step-by-step explanation:

use the rule that cos (x)  = adjacent/hypotenuse:

you know that x (the angle) = 42 and the adjacent side = 35, so:

cos (42) = 35/y

y = 35/cos(42)

y = 47.1

then, to find x:

use the fact that tan (x) = opposite side/adjacent side

so tan (42) = x/35

x = 35tan(42)

x = 31.5

finally, you know all 3 angles of the triangle have to add up to 180, so to find z you can do:

z + 90 + 42 = 180

z + 132 = 180

z = 48

Solve the following system of equations:
4x − 2y − z = −5
x − 3y + 2z = 3
3x + y − 2z = −5
(0, 1, 3)
(0, −1, 3)
(0, 1, −3)
(0, −1, −3)​

Answers

Answer: (0, 1, 3)

Step-by-step explanation:

Adding the second and third equations, we get [tex]4x-2y=-2[/tex]Multiplying both sides of the first equation by 2, we get that [tex]8x-4y-2z=-10[/tex]. Adding this to the second equation, we get that [tex]9x-7y=-7[/tex].

If we multiply both sides of the equation [tex]4x-2y=-2[/tex] by 7, we get [tex]28x-14y=-14[/tex].

If we multiply both sides of the equation [tex]9x-7y=-7[/tex] by 2, we get [tex]18x-14y=-14[/tex].

Subtracting the equation [tex]28x-14y=-14[/tex] from the equation [tex]18x-14y=-14[/tex], we get that [tex]-10x=0 \longrightarrow x=0[/tex].

This means that [tex]4(0)-2y=-2 \longrightarrow y=1[/tex]

And thus, [tex]4(0)-2(1)-z=-5 \longrightarrow -2-z=-5 \longrightarrow z=3[/tex].

So, the solution is (0, 1, 3).

Discriminat step by step of x^2+4x+5=0

Answers

Answer:

-4

Step-by-step explanation:

x^2+4x+5=0

a=1,b=4^1 C=5

4^2-4×1×5

-4

The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.

The graph shows f of x equals x squared minus 2, which is an upward opening parabola with a vertex at 0 comma negative 2 and a point at negative 1 comma negative 1 and a point at 1 comma negative 1. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 comma 5 and a point at negative 1 comma 4 and a point at 1 comma 4.

Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y > x2 – 2
y ≥ –x2 + 5

Answers

We will need to shade the region above f(x) and the region below the function g(x)…

How to transform the graph into the solution set?

We have:

f(x) = x² - 1

g(x) = -x² + 4

Both of these are already graphed, and we want to transform it into:

y > f(x)

y ≤ g(x)

The first inequality means that we need to graph f(x) with a dashed line, because f(x) is not part of the solution, and then we shade all the region above f(x)…

For the other inequality, we use a solid line (because the points on the line are solutions) and then we shade the part below the curve…

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what is the ratio of the radius of circle a to the radius of circle b?

Answers

Answer:

3:1

Step-by-step explanation:

Assuming that the edges of the circle are supposed to line up with the dotted lines of the graph, all you have to do is count how many lines are between the middle of the circle and the edge (either directly vertical or horizontal due to the graph we are using). We can see that the radius of circle A is approximately 3 units, while the radius of circle B is approximately 1 unit. So the ratio of the radius of circle A to the radius of circle B is 3:1.

Answer:

3:1

Step-by-step explanation:

because once count the radius of the big circle that is 3 unit and the radius of small circle is 1 unit

The function y=(x-4)2+3 is a transformation of the function y=x2. How is the functions vertex affected by the transformation?

Answers

It is shifted 4 units right and 3 units up.

Circle G is shown. Line segment F G is a radius with length 3.
In circle G, r = 3 units. Maria draws a circle with double the area of circle G.

What is the area of Maria’s circle?

6Pi units squared
9Pi units squared
12Pi units squared
18Pi units squared

Answers

By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.

What is the area of the circle?

In this question we have a circle whose radius (r) is kwown. Besides, we know that Maria draws a circle with double the area of the prior circle. The area of the circle (A) is described by the following formula:

A = π · r²     (1)

Then, we have that the area drawn by Maria is:

A = 2 · [π · 3²]

A = 18π

By definitions of the area of a circle and area ratios, we conclude that the area of the circle drawn by Maria is equal to a value of 18π units squared.

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Answer:

18π units squared

Step-by-step explanation:

On edge

Boxes of tins are delivered to a shop. There are 37 boxes. Each box contains 25 tins. How many tins are there?​

Answers

Answer:

Step-by-step explanation:

it equal 925 tins in total when you multiply 37 times 25. Hope that helps

Please help !!! I will give 20 points to correct answer !!!!

Answers

Answer:

the answer above the image

Answer:

a=-4/3, 14/3

Step-by-step explanation:

absolute value only makes the answer become positive whether the value inside is negative or positive.
so -3a+5=9 or -3a+5=-9 all works

-3a+5=9

-3a=4

a=-4/3

If -3a+5=-9

-3a=-14

a=14/3

(5x+7)(8x+7) = 0
Find the two possible values.​

Answers

[tex](5x + 7)(8x + 7) \\ \\ 5x + 7 = 0 \\ \\ 5x = - 7 \\ \\ x = \frac{ - 7}{5} \\ \\ 8x + 7 = 0 \\ \\ 8x = - 7 \\ \\ x = \frac{ - 7}{8} .[/tex]

the values of x are -7/5 and -7/8 .

Hi!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer.}\circ\leftharpoonup[/tex]

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

Set each factor equal to 0.

[tex]\twoheadrightarrow\sf 5x+7=0[/tex]

[tex]\twoheadrightarrow\sf 8x+7=0[/tex]

[tex]\bullet[/tex] Solve each equation

[tex]\twoheadrightarrow\sf 5x+7=0[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf 5x=-7[/tex]

[tex]\bullet[/tex] Divide both sides by 5

[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{5}}[/tex]

[tex]\bullet[/tex] Now let's solve the second equation

[tex]\twoheadrightarrow\sf 8x+7=0[/tex]

[tex]\bullet[/tex] Subtract 7 from both sides

[tex]\twoheadrightarrow\sf 8x=-7[/tex]

[tex]\bullet[/tex] Divide both sides by 8

[tex]\underline{\twoheadrightarrow\sf x=-\cfrac{7}{8}}[/tex]

[tex]\bullet[/tex] Great job, we found the two possible values

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Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

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There are 8 kids at a birthday party. If there are 6 girls and 2 boys at a party what fraction of the kids are girls? what can the reader most likely infer about why Rosa Parks was motivated to refuse giving up her bus seat What is the Capital of Belgium? 5. A uniform solid ring of mass M = 10 kg and radius R = 2 m is initially rotating in mid-air with angular speed 20 rad/s [the Before state in figure (I) below]. It is then placed in contact with a surface (assume that the surface immediately feels the full weight of the ring). (1) M Before Wi (II) wf V After wf H ? (a) What kind of frictional force acts on the ring upon contact with the surface? (b) If the ring begins to roll smoothly to the right with speed v = 10 m/s after 5 seconds of contact (the After state), find the coefficient of friction corresponding to the frictional force you mentioned in (a). (c) What is the increase in the thermal energy of the ring/surface system from right before the ring contacts the surface, to when the ring starts to roll smoothly? The ring then rolls smoothly up a ramp of 0 = /6 rad and H = 5 m [see figure (II)] (d) What is the horizontal distance, from the end of the ramp, at which the ring lands? Which is true about Pluto?O A. It is part of the Kuiper belt.O B. It is larger than Titan, Mercury, and the moon.OC. It is the only body in the solar system without an atmosphere.OD. It has a nearly circular orbit. Who are the famous poets of the Tang Dynasty in China? What are their main representative works? Which are vectors?animalswaterairfoodobjects Booker T. Washington believed that African American accommodation to segregation should be accompanied byresistance to discriminatory laws .hard work, education, and patience.insistence on support from the government.peaceful challenges to daily injustices.As a result of the Plessy v. Ferguson ruling,it took decades for segregation to be declared unconstitutional.it took a few years before segregation was declared unconstitutional.fewer facilities became segregated.railcars on trains were desegregated. Based on your knowledge of immunological memory explain to your patient the physiological mechanisms that underlie active immunity and how it protects you from infections. Be sure to include a description of primary and secondary immune responses in terms that she will understand. evaluate question 4 only 21. Mark saw Joe and Sara, who are both taller than 1.8m, playing basketball whilewearing bright shoes. Joe invited his friend Jim, who is heavy-set at around 108kgand about 1.7m tall, to join them for football the next morning. After playing, they allhad to finish homework that was due the next day, a Tuesday. On which day didMark see Joey and Sara play basketball while wearing white shoes? *a. Sunday.b. Saturday.c. Monday.d. Cannot be determined. An employee handling key management discovers that a private key has been compromised. Evaluate the stages of a key's life cycle and determine which stage the employee initiates upon learning of the compromise. Black coat color is dominant over white coat color in guinea pigs. in addition to coat color, rough coat is dominant over smooth coat. b. Demonstrate a cross between a heterozygous black/homozygous smooth and homozygous white/heterozygous rough. describe the phenotypes as fractions? The figure below shows a square ABCD and an equilateral triangle DPC:ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle DTed makes the chart shown below to prove that triangle APD is congruent to triangle BPC:Statements JustificationsIn triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equalIn triangles APD and BPC; AD = BC Sides of square ABCD are equalIn triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90 so angle ADP = angle BCP = 60Triangles APD and BPC are congruent SAS postulateWhat is the error in Ted's proof? (1 point)He writes the measure of angles ADP and BCP as 60 instead of 45.He uses the SAS postulate instead of AAS postulate to prove the triangles congruent.He writes the measure of angles ADP and BCP as 60 instead of 30.He uses the SAS postulate instead of SSS postulate to prove the triangles congruent. ax +by = 163x+2y=64In the system of equations, a and b are constants. if the system has infinitely many solutions, what's the value of ab? Which answers describe the shape below? (MULTIPLE ANSWERS)(Picture above)A. Quadrilateral B. ParallelogramC. Rectangle D. Trapezoid E. RhombusF. Square How do living organisms help the soil A Senator who votes based on what she thinks is best for her constituency is called a Group of answer choices constituency. delegate. whip. trustee. A client comes to the emergency department following an assault and is extremely agitated, trembling, and hyperventilating. Which initial nursing action is appropriate Why does carbonic acid gives an acid salt but hydrochloric acid does not?