A clothing manufacturer has 1,000 yd. of cotton to make shirts and pajamas. A shirt requires 1 yd. of fabric, and a pair of pajamas requires 2 yd. of fabric. It takes 2 hr. to make a shirt and 3 hr. to make the pajamas, and there are 1,600 hr. available to make the clothing. i. What are the variables? ii. What are the constraints? iii. Write inequalities for the constraints. iv. Graph the inequalities and shade the solution set. v. What does the shaded region represent? vi. Suppose the manufacturer makes a profit of $10 on shirts and $18 on pajamas. How would it decide how many of each to make? vii. How many of each should the manufacturer make, assuming it will sell all the shirts and pajamas it makes?

Answers

Answer 1

Let the number of shirts is x and the number of pairs of pajamas is y

Then the variables are x and y which are the numbers of shirts and pajamas

Since each shirt needs, 1 yard and a pair of pajamas needs 2 yards

Since there are 1000 yards to make them

Then the first inequality is

[tex]\begin{gathered} (1)x+(2)y\leq1000 \\ x+2y\leq1000 \end{gathered}[/tex]

Since the time to make a shirt is 2 hours and the time to make a pair of pajamas is 3 hours

Since there are 1600 hours available, then

The second inequality is

[tex]\begin{gathered} (2)x+(3)y\leq1600 \\ 2x+3y\leq1600 \end{gathered}[/tex]

Then let us answer the questions

i. The variables are x and y

ii. The constraints are 1000, 1600

iii. The inequalities are

[tex]\begin{gathered} x+2y\leq1000 \\ 2x+3y\leq1600 \end{gathered}[/tex]

iv. Let us draw the graph

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The area of the two colors is the area of the solutions of the 2 inequalities

V.

The shaded region represents the solution of the 2 inequalities, the numbers of shirts and pajams

Vi.

The intersection point between the 2 lines is (200, 400)

Then we will take this point to represents the number of shirts and pajamas

vii.

Since the profit on shirts is $10 and on pajama is $18

Then we should make 200 shirts and 400 pajamas

A Clothing Manufacturer Has 1,000 Yd. Of Cotton To Make Shirts And Pajamas. A Shirt Requires 1 Yd. Of

Related Questions

891 to which closer to hundred

Answers

891 is closer to 900.

Consider the following:

800, 820, 840, 860, 880, 900

891 is found between 880 and 900

Thus, the hundred 891 is closer to is 900

LMNO is a rhombus find at 3s + 12 5x - 2y -6

Answers

In this case the answer is very simple. .

To find the solution to the exercise we'll have to carry out several steps.

(3x + 12) = (5x -2)

12 + 2 = 5x - 3x

14 = 2x

14 /2 = x

7 = x

The answer is:

x = 7

Find the area of the semicircle. Round to the nearest tenih. Use 3.14 for 3.8 yda. 22.7 yd²b. 23.9 yd²c. 45.3 yd²d. 11.9 yd²

Answers

Answer:

[tex]A[/tex]

Explanation:

Here, we want to calculate the area of the semi-circle

To get this, we have to calculate the area of the circle and divide by 2

Mathematically, we have that as follows:

[tex]A\text{ = }\frac{\pi r^2}{2}[/tex]

where pi is 3.14 and r which is the radius of the circle is 3.8 yd

Mathematically, we calculate the area as follows:

[tex]A\text{ = }\frac{3.14\times3.8^2}{2}\text{ = 22.7 yd}^2[/tex]

I need the answer as fast as you can give it to me

Answers

Explanation

Given

[tex](256x^{16})^{\frac{1}{4}}[/tex]

We can simplify the expression below;

[tex]\begin{gathered} =256^{\frac{1}{4}}\times x^{16\times\frac{1}{4}} \\ =\sqrt[4]{256}\times x^{\frac{16}{4}} \\ =4x^4 \end{gathered}[/tex]

Answer:

3x=4 1/2 I need help to solve for x

Answers

We need to solve the equation:

[tex]3x=4\frac{1}{2}[/tex]

First, notice that the mixed number 4 1/2 can be written as:

[tex]4\frac{1}{2}=4+\frac{1}{2}[/tex]

Now, we can solve the equation for x by dividing both sides of the equation by 3. We obtain:

[tex]\begin{gathered} \frac{3x}{3}=\frac{\mleft(4+\frac{1}{2}\mright)}{3} \\ \\ x=\mleft(4+\frac{1}{2}\mright)\cdot\frac{1}{3} \\ \\ x=4\cdot\frac{1}{3}+\frac{1}{2}\cdot\frac{1}{3} \\ \\ x=\frac{4}{3}+\frac{1}{6} \\ \\ x=\frac{8}{6}+\frac{1}{6} \\ \\ x=\frac{9}{6} \\ \\ x=\frac{3}{2} \\ \\ x=1\frac{1}{2} \end{gathered}[/tex]

Therefore, the solution is:

[tex]\mathbf{x=1\frac{1}{2}}[/tex]

Answer:

Exact form:

x = 3/2

decimal form:

x = 1.5

mixed number form:

x = 1

1/2

Step-by-step explanation:

An archer hits a bullseye 64% of the time. What is the probability the archer hitsthe bullseye exactly 4 times during 10 total attempts?a. 242b. .365C..077d. 168

Answers

If the probability of hitting the bullseye is 64% (P(H) = 0.64), then the probability of not hitting the bullseye (P(H_bar)) is:

[tex]P(\bar{H})=1-P(H)=1-0.64=0.36[/tex]

Now, if we have 10 attempts, and the archer hits 4 times, then he misses 6 times.

So we have 4 cases of hitting (P(H)) and 6 cases of not hitting(P(H_bar)), and the probability is the product of the probabilities of each case:

[tex]P=P(H)^4\cdot P(\bar{H})^6=(0.64)^4\cdot(0.36)^6=0.16777\cdot0,0021767=0\text{.}0003652[/tex]

We also need to multiply this probability by a combination of 10 choose 4, because the 4 hits among the 10 attempts can be any of the 10, in any order:

[tex]C(10,4)=\frac{10!}{4!(10-4)!}=\frac{10!}{4!6!}=\frac{10\cdot9\cdot8\cdot7}{4\cdot3\cdot2}=210[/tex]

So the final probability is:

[tex]P^{\prime}=P\cdot C(10,4)=0.0003652\cdot210=0.077[/tex]

So the answer is C.

A figure has an area of 100 units `2 what will the new area be after dilation with a scale factor of 2\5

Answers

16 u²

1) If a figure has an area and it's been dilated of k= 2/5

2) Then we can sketch that situation, concerning to areas:

So, we can state this dilated figure is going to have an area of 16 u².

Hence, the answer is 16 u²

I need some help on finding the surface area. i don't know how to solve with a triangular base?

Answers

The surface area(A) of a triangular pyramid can be found using the formula:

[tex]A\text{ = }\frac{1}{2}\text{ }\times\text{ a }\times\text{ b + }\frac{3}{2}\text{ }\times b\text{ }\times\text{ s}[/tex]

Given the triangular prism:

Hence, we have:

a = 3.5 m

b = 4m

s = 11.1 m

Substituting the values into the formula:

[tex]\begin{gathered} A\text{ = }\frac{1}{2}\times3.5\text{ }\times4\text{ + }\frac{3}{2}\text{ }\times\text{ 4 }\times\text{ 11.1} \\ =\text{ 7 + 66.6} \\ =\text{ 73.6 m}^2 \end{gathered}[/tex]

Hence, the surface area of the pyramid is 73.6 square meter

What is 5,421 rounded to the nearest hundred?A.4,000B.5,000C.5,4000D.5,200

Answers

We have the following number:

[tex]5,421[/tex]

By rounding down this number to the nearest hundred, we get

[tex]5,400[/tex]

which corespond to option C

Select the recursive and explicit formula for the Arnold family 2 answer

Answers

ANSWER:

[tex]\begin{gathered} A\left(n\right)=a_{n-1}\times 2 \\ A\left(n\right)=0.05\cdot\left(2\right)^{n-1} \end{gathered}[/tex]

STEP-BY-STEP EXPLANATION:

We have that the Arnolds family are going to save a nickel on the first day of the month and then double the amount each day.

One nickel is equal to $0.05, therefore, we can make an recursive formula, it is a geometric sequence where the initial value is 0.05 and the ratio is equal to 2, because it doubles every day, therefore:

[tex]A(n)=0.05\cdot(2)^{n-1}[/tex]

Now, from the above we can deduce the explicit formula, since the next value will be double the previous value, therefore, the explicit formula would be:

[tex]A(n)=a_{n-1}\times2[/tex]

Therefore, the correct answers are the 1st and 4th options.

Back | Next Question 2 Indicate the answer choice that best completes the statement or answers the question. Determine if the two figures are congruent by using transformations. Explain your reasonin a. congruent; a rotation followed by a reflection Ob. congruent; a reflection followed by another reflection Oc. congruent; a reflection followed by translation O d. not congruent

Answers

b. congruent; a reflection followed by another reflection

If grey shape is reflected across the x-axis and then the y-axis, or viceversa, white shape is obtained.

Write an inequality for each of the following Mrs. Champlin needs to make at least 28 costumes for the school play

Answers

ok

x = number of costumes

The inequality is:

[tex]\text{ x }\ge\text{ 28}[/tex]

where "x" is the number of costumes

In the sentence given, they use the terms "at least", that means that the number must be equal or greater than 28.

In maths, there are five symbol that we can use in inequalities.

= means equal

< means less than

> means greater than

[tex]\begin{gathered} \ge\text{ means greater or equal than} \\ \leq\text{ means less or equal than} \end{gathered}[/tex]

In the sentence given, as they use at least, we must use greater or equal, it means it could be 28 or a greater number.

Write the series using sigma notation to find the sum of the termsDrag the tiles to the correct location is not a tiles will be used

Answers

[tex]\Sigma\lbrack9\rbrack(\lbrack\frac{1}{3}\rbrack)^k\text{ = }\frac{364}{27}[/tex]

The number over the sigma sign is 5

Explanation:

5 represent the finale value

What is the length of the hypotenuse of the right triangle with coordinates:(-2, -1), (-6,5), and (4, 3)?

Answers

ANSWER:

10.2 units

STEP-BY-STEP EXPLANATION:

The first thing is to make a sketch of the triangle formed in the Cartesian plane, like this:

The hypotenuse is the side opposite the right angle, therefore, it would be the side from the point (-6, 5) to the point (4, 3).

We calculate the distance between these two points using the following formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

We replace and calculate the length of the hypotenuse:

[tex]\begin{gathered} d=\sqrt{\left(4-\left(-6\right)\right)^2+\left(3-5\right)^2} \\ d=\sqrt[]{(4+6)^2+(3-5)^2} \\ d=\sqrt[]{(10)^2+(-2)^2} \\ d=\sqrt[]{100+4} \\ d=\sqrt[]{104} \\ d\cong10.2 \end{gathered}[/tex]

The length of the hypotenuse is 10.2 units.

Ezra is finding the perimeter of different-sized regular pentagons. There is a proportional relationship between the side length of the regular pentagon in inches, x, and the perimeter of the regular pentagon in inches, y. The equation that models this relationship is y=5x. What is the perimeter of a regular pentagon with a side length of 2 inches? Write your answer as a whole number or decimal.

Answers

The perimeter of the regular pentagon Ezra is finding is 10m inches

How to find the perimeter of a regular pentagon with a side length of 2 inches

Perimeter refers to the total outside length of an object,

The equation given in the problem is

y = 5x

where

the side length of the regular pentagon in inches, x,

the perimeter of the regular pentagon in inches, y

if the side length is 5, we plug in 2 into the equation above

y = 5x

y = 5 * 2

y = 10 inches

Learn more about perimeter here:

https://brainly.com/question/397857

#SPJ1

A If mzABD 61, and mzDBC = 59, then mABC = [ ?P

Answers

[tex]\angle ABC\text{ = }\angle ABD\text{ + }\angle DBC[/tex][tex]\angle ABC=61^{\circ}+59^{\circ}[/tex][tex]\angle ABC=120^{\circ}[/tex]

Write each ratio in simplest form1- 300:1082- 5280:8003- 42:1204- 20:965- 24:16

Answers

Given:

1) 300:108

[tex]\begin{gathered} \frac{300}{108} \\ \text{Greatest common factor of 300 and 108 is 12.} \\ \frac{300}{108}=\frac{25\cdot12}{9\cdot12}=\frac{25}{9}\Rightarrow25\colon9 \end{gathered}[/tex]

2) 5280:800

[tex]\begin{gathered} \frac{5280}{800} \\ \text{Greatest common factor of 5280 and 800 is 160.} \\ \frac{5280}{800}=\frac{33\cdot160}{5\cdot160}=\frac{33}{5}\Rightarrow33\colon5 \end{gathered}[/tex]

3) 42:120

[tex]\begin{gathered} \frac{42}{120} \\ \text{Greatest common factor of 42 and 120 is 6.} \\ \frac{42}{120}=\frac{7\cdot6}{20\cdot6}=\frac{7}{20}\Rightarrow7\colon20 \end{gathered}[/tex]

4) 20:96

[tex]\begin{gathered} \frac{20}{96} \\ \text{Greatest common factor of 20 and 96 is 4.} \\ \frac{20}{96}=\frac{4\cdot5}{4\cdot24}=\frac{5}{24}\Rightarrow5\colon24 \end{gathered}[/tex]

5)

[tex]\begin{gathered} \frac{24}{16} \\ \text{Greatest common factor of 24 and 16 is 8.} \\ \frac{24}{16}=\frac{3\cdot8}{2\cdot8}=\frac{3}{2}\Rightarrow3\colon2 \end{gathered}[/tex]

If possible, find the area of the triangle defined by the following: a = 7, b = 4, y = 43°9.5 square units19.3 square units14 square units16.8 square units

Answers

[tex]\begin{gathered} \frac{\text{ A }}{\sin\text{ A}}\text{ = }\frac{B}{\sin \text{ B}} \\ \frac{70}{\sin\text{ A}}\text{ = }\frac{100}{\sin \text{ 35}} \\ \sin \text{ A = }\frac{70\sin 35}{100} \\ \sin \text{ A = 40.15/ 100} \\ \sin \text{ A = 0.40} \\ \text{ A = 23.7\degree} \end{gathered}[/tex]

So C = 180 - 23.7 - 35

= 121.3°

[tex]\begin{gathered} \text{ }\frac{C\text{ }}{\sin\text{ C}}\text{ = }\frac{B}{\sin \text{ B}} \\ \frac{C}{\sin\text{ 121.3}}\text{ = }\frac{100}{\sin \text{ 35}} \\ \text{ C = }\frac{100\sin \text{ 121.3}}{\sin \text{ 35}} \\ C\text{ = }\frac{85.44}{0.57} \\ C\text{ = 150 mi} \end{gathered}[/tex]

write a linear equation that has m=4 and has an x intercept of (5,0)

Answers

the equation is of the form y = mx + b, then

for b:

[tex]\begin{gathered} 0=4(5)+b \\ 0=20+b \\ 0-20=20+b-20 \\ b=-20 \end{gathered}[/tex]

the equation is:

[tex]y=4x-20[/tex]

I need help with a math assignment i linked the picture below with the question

Answers

Answer:

[tex]P\text{ = 29x+5}[/tex]

Explanation:

Here, we want to get the perimeter of the rectangle

Mathematically, that is:

[tex]P\text{ = 2(L + B)}[/tex]

Where L is the length of the rectangle, given as 6.5x + 9 ft and B is the width of the rectangle which is 8x-6.5

Substituting these values into the formula, we have the perimeter of the rectangle as follows:

[tex]\begin{gathered} P=2(6.5x\text{ + 9 +8x-6.5)} \\ P\text{ = 2(14.5x+2.5)} \\ P\text{ = 29x+5} \end{gathered}[/tex]

Can you please me with the question on the picture

Answers

Solution

[tex]\begin{gathered} \text{Total marbles= 6+}5+4_{} \\ \text{Total marbles =15 marbles} \end{gathered}[/tex]

6blue marbles

5 red marbles

4 white marbles

Part A

Formula

Not white means it blue or 5 = 11

[tex]P(\text{Blue given not white)}=\frac{P(B\text{ n W)}}{P(W)}=\frac{\frac{6}{15}\times\frac{6}{15}}{\frac{11}{15}}=\frac{6}{15}[/tex]

Part B

i need some help on this word problem please do it for me (12)

Answers

The first thing we need to do is identify the important values, our variables, and our equations that model or describe our problem.

• A total of 560 tickets were sold.

• Tickets can be ,A,dult or ,S,tudent

[tex]A+S=560\to(1)[/tex]

• The total of tickets sold $3166

,

• The value of the Adult ticket is $8

,

• The value of the Student ticket is $3.5

[tex]8A+3.5S=3166\to(2)[/tex]

We can see that A and S correspond to the number of Adult or Student tickets sold. We solve the equations to find our numbers.

[tex]A=560-S\to\text{(1)}[/tex][tex]\begin{gathered} 8(560-S)+3.5S=3166 \\ 8\times560-8S+3.5S=3166 \\ S(3.5-8)=3166-4480 \\ -4.5S=-1314 \\ S=\frac{-1314}{-4.5} \\ S=292 \end{gathered}[/tex][tex]\begin{gathered} A=560-292 \\ A=268 \end{gathered}[/tex]In total, 292 Student tickets and 268 Adult tickets were sold.

help me Plss Im begging you

Answers

Answer:

2:1

Step-by-step explanation:

No of hydrogen atoms = 4

No of carbon atoms = 2

Ratio of hydrogen atoms to carbon atoms mean that the no of hydrogen atoms need to be divided by the no of Carbon atoms

that is 4/2 = 2/1 = 2 : 1

Question 2 (5 points) (04.01 LC) Simplify +5x+6 X+2

A x²+1
B x²-1
C X +3
D X-3​

Answers

[tex]\bf{\dfrac{x^{2} +5x+6 }{x+2} }[/tex]

Rewrite the term.

x² + 2x + 3x + 6

Group the terms into two fractional parts.

(x² + 2x + (3x + 6)

Factor the expression

x(x + 2) + 3 (x + 2)

[tex]\boldsymbol{\sf{\dfrac{(\not{x+2)(x+3)}}{\not{x+2}}=x+3 \to Option \ C }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\cfrac{x {}^{2} + 5 x + 6 }{x + 2} }[/tex]

Answer :

Note: To solve a problem like this, we must first determine which of the two numbers add 5 and multiply 6, we know that they are 2 and 3 and then we must Rewrite the expression using the above.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{(x+2)(x+3)}[/tex]

Now, we must put a fraction since we can more easily solve the problem posed.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \cfrac{(x + 2)(x + 3)}{x + 2} }[/tex]

Now the last thing we have to do is Cancel [tex]\bold{x+2}[/tex] to have a final result that is the following:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x+3}[/tex]

please solve this for me

Answers

The equation of the line in slope intercept form is y = -x + 6

How to write equation of a line in slope intercept form?

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

m = slopeb = y-intercept

The slope of the line can be found as follows:

using (6, 0) and (5, 1)

m = slope = 1 - 0 / 5 - 6

slope = 1 / -1

slope = -1

Therefore, let's find the y-intercept of the line using (0, 6).

y = -x + b

6 = -(0) + b

b = 6

Therefore, the equation of the line is y = -x + 6

learn more on equation of a line here: brainly.com/question/28883396

#SPJ1

can you please help me

Answers

We have two types of crust, each of them with a different type of sauce and choice of toppings. The answer would be 54 single topping pizzas because we have two types of crust for 3 types of sauce 2*3 = 6

and 9 choices of toppings for each of them 6*9 = 54

find the length of each chord. horizontal chord and vertical

Answers

Consider the circle

we have the intersecting chords theorem, which states that

[tex]a\cdot b=c\cdot d[/tex]

In our case we have a=x, b=12, c=6 and d=x+4. So we have

[tex]12\cdot x=6\cdot(x+4)[/tex]

distributing on the right side we get

[tex]12\cdot x=6x+6\cdot4=6x+24[/tex]

Subtracting 6x on both sides, we get

[tex]24=12x\text{ -6x=6x}[/tex]

Dividing boht sides by 6, we get

[tex]x=\frac{24}{6}=4[/tex]

So, the value of x is 4. Now we replace this value to find the length of each chord, so we have

x---->4

12---->12

x+4----->4+4=8

6----->6

When planning a cruise, you have a choice of 2 destinations: Cozumel (C) or Jamaica (J); a choice of 4 types of rooms: balcony (B), inside view (I), ocean view (O), or suite (S); and a choice of 2 types of excursions: water sports (W) or horseback riding (H). If you are choosing only one of each, list the sample space in regard to the vacations (combinations of destinations, rooms, and excursions) you could pick from.

Answers

Given

There are 2 options for a destination: Cozumel (C) or Jamaica (J)

There are 4 types of rooms : Balcony (B), Inside View (I), Ocean View (O), Suite (S)

There are two types of excursions : Water sports (W) or Horseback (H)

The sample space is a combination of all the available options and can be calculated using the formula:

[tex]\begin{gathered} Sample\text{ space = Number of options for A }\times\text{ Number of options for B }\times \\ Number\text{ of options C} \end{gathered}[/tex]

Applying the formula:

[tex]\begin{gathered} Sample\text{ space = 2 }\times\text{ 4 }\times\text{ 2} \\ =\text{ 16 } \end{gathered}[/tex]

The list of the combinations is shown below:

CBW, CBH, CIW, CIH , COW, COH, CSW, CSH, JBW, JBH, JIW, JIH, JOW, JOH, JSW, JSH

what property do we use to check that our factored form is equivalent to the standard form

Answers

Lets solve an example:

[tex]\begin{gathered} y=x^2+6x+8 \\ \end{gathered}[/tex]

this quadratic polynomial is in standard form. We can write the same polynomial in factored form as

[tex]y=(x+4)(x+2)[/tex]

In the case of quadratic polynomials, a fast check is

that is, 4 plus 2 must be equal to 6 in the term 6x and

4 times 2 must be 8 in the constant term, which is 8.

Hi i have uploaded the question in the image. Equation no. 2 (ii).

Answers

Let's determine if g(x) is a factor of f(x).

[tex]\text{ f(x) }=\text{ }x^3\text{ }-3x^2+4x-4[/tex][tex]\text{ g(x) = }x\text{ - 2}[/tex]

Given that g(x) = x - 2, at x = 2, let's check the value of f(x) at x = 2, If f(x) = 0, then g(x) is a factor, otherwise, g(x) is not a factor of f(x).

We get,

At x = 2,

[tex]\begin{gathered} \text{ f(x) }=\text{ }x^3\text{ }-3x^2+4x-4 \\ \text{ f(2) = (2)}^3-3(2)^2\text{ + 4(2) - }4 \\ \text{ f(2) = 8 - 12 + 8 - }4 \\ \text{ f(2) = 16 - 1}6 \\ \text{ f(2) = 0} \end{gathered}[/tex]

Therefore, g(x) is a factor of f(x).

Other Questions
What is the 6th term in the geometric sequence described by this explicitformula?an = 500. (0.5)(n-1) choose one A. 1250B. 7.8125C. 15.625OD. 12,500 A spaceship travels at an enormous speed to go from one star system to another. As it reaches its destination, its hyperdrive deactivates, bringing the ship to an immediate halt in orbit around a planet.Why does this defy physics? Give Equations/ Laws to justify yourself Nate placed $1800 in a one-year CD at the bank. The bank is paying simple interest of 5% for one year on the CD. How much interest will Nate earn in one year? The president of a bank projects that the earnings from one investment will be $47,000 this year. He also plans to buy some municipal bonds that yield 25% annual interest. How much money should he invest in the bonds so that the total earnings from the two investments will be at least $80,000? 3.2= -4w+9.6 Solve for w The dollar value v(s) of a certain car model that is t years old is given by (t) = 25.900(0,92)Find the initial value of the car and the value after 12 years.Round your answers to the nearest dollar as necessary.Initial value:Value after 12 years.sx 5 ? 30.4. The figure below is going to be enlarged so that the area of the new, similar shape will be 400 cm?. What will the perimeter of the new, enlarged shape be?5 cm24. Perimeter of enlarged shape=cmicm10 cmArea = 100 cm2 If we use RH as the base of this triangle, the height is ___ units. Can you please help me out with a question Evaluate Clara's practices for the prevention of parasite infestation in the following scenario.Last year, Clara lost thousands of dollars when her sheep herd was infested with tapeworms. She hasalways been diligent about keeping the pens clean and ensuring a proper diet. She has also always givenher sheep plenty of freedom by allowing them to wander day and night, and she even protects them fromthe hot weather by putting them out to graze in the cooler evening hours. She hopes that this year theherd will be more fortunate. Problem: Co3+ | Co2+ and Ni2+ | NiAnode?Cathode?(You need to use Reference Table B-16.)a. Co2+b. can't answerc. Ni2+d. Nie. Co3+ Study the phase diagram of a saltwater solution compared to pure water. Question 1111 of 12Which choice shows 13*07*4) correctly rewritten using the associative property andthen correctly simplified?O (1347)*4=91*4=364O 13*(4*7)=13*28=364o 13*4*7=52*7=364O (13*74)=962Question ID: 116141Submit How is the electoral vote impacted by the presence of two major political parties? Is this a positive or a negative? Why A scuba diver is swimming at a depth of 70 feet .He descended at a rate of 5 feet every 12 seconds.At this rate ,how many seconds did it take for the diver to reach the depth of 70 feet? Identify which of the following graphs is the graph of two equivalent vectors. Two Step problem:STEP 1: 7x^2 = -4using the standard form ax^2 +bx + c =0 of the given quadratic equation, factor the left hand side of the equation into two linear factors. STEP 2: 7x^2 = -4xsolve the quadratic equation by factoring. Write your answer in reduced fraction form, if necessary. PICTURE OF ANSWER BOX ATTACHED: is for step #2 Suppose line m is the line with the equation x = -5, line n is the line with the equation y = 1, line g is the line with the equation y = x, and line h is the line with the equation y = -2. given a(9,-3), b(6,4), and c(-1,-5), what are the coordinates of the vertices of aa'b'c' for the reflection rg? Look at christ giving the keys of the kingdom to sf.peter by Perugino. What type of balance does this painting represent? Provide 3 specific examples to support your answer . if two or more users are trying to update the database and the dbms is not releasing the locks to allow either user to continue, this is known as a(n) .