How do you put y+2x=5 into slope-intercept form?

Answers

Answer 1

Answer: y=-2x+5

Step-by-step explanation:

Y+2x=5

y-2x=5-2x

y=-2x+5

then graph

Answer 2

Answer:

y=-2 x +5

Step-by-step explanation:

Write in slope-intercept form,  y=m x+b


Related Questions

Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point SSS to point T?

Answers

Answer:

5

Step-by-step explanation:

I think this is your corrected question:

Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point S to point T?

Here is my answer:

S (9. -3) <=> x1 = 9, y1 = -3

T (4, -3) <=> x2= 4, y2 = -3

As we can see, the two coordinates are located in the same line y =-3 so the distance between two points: x1 -x2 = 9-4=5 horizontally.

Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale factor used to create the model PLZZZ HELP ME HURRY THE ANSWERS CHOICES ARE IN THE PICTURE

Answers

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor [tex]= \frac{33}{363} = \frac{1}{11}.[/tex]

So the scale factor is [tex]\frac{1}{11}[/tex]. This means that 1 inch on the drawing is 11 feet in the actual school.

(x - 8) + 33 = 180
how would i find x ?​

Answers

Answer:

X = 155

Step-by-step explanation:

You subtract 180 and 33 to get 147 and add 8 to that and you get 155 as your answer

Answer:

x = 155

Step-by-step explanation:

Step 1:  Distribute

x - 8 + 33 = 180

Step 2:  Combine like terms

x + 25 - 25 = 180 - 25

x = 155

Answer:  x = 155

The scatterplot that represents the monthly values of stock QRS has an r
value of 0.315. Which best describes the correlation of the graph?
O
A. Strong negative correlation
O
B. No correlation
O
C. Strong positive correlation
D. Weak correlation

Answers

Answer:

D

Step-by-step explanation:

The correlation coefficient, r value, measures the strength and direction of 2 variables in a scatterplot. It ranges from +1 to -1.

+1 means a perfect positive correlation

-1 means a perfect negative correlation

0 means there is no correlation

Also,

a value close to 0.7 would signify a strong relationship (whether positive or negative)

a value close to 0.5 indicates a moderate relationship

a value close to 0.3 indicates a weak relationship

Now, the question says the r value is 0.315

THis is POSITIVE

Also, this is a "weak" relationship

Thus, we can say:

It has weak correlation, or answer choice D

D is right.

Answer:

Strong negative correlation

Step-by-step explanation:

AP3X

Xavier runs 21 miles in three hours what is his unit rate for the average distance he ran after one hour

Answers

Answer:

7 mph

Step-by-step explanation:

21/3 = 7 so Xavier runs 7 miles per hour

Xavier runs 7 mph. :) 21/3 =7

The midpoint M of CD¯ has coordinates (−1, 3). Point C has coordinates (−5, 6). What are the coordinates of point D?

Answers

Answer:

The Co-ordinates of D are (3,0)

Step-by-step explanation:

x= x₁ +x₂ /  2        ,     y= y₁+y₂  /2

-1 = -5 + x₂  /2       ,  3 = 6+y₂ /2

Solve them and u ll get the ans

A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?

Answers

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

Answer: The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.

A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total cost is $20. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $23. Find the cost for each pound of jelly beans and each pound of trail mix.

Answers

Answer:

Jelly beans are $2.25/pound, trail mix $3,25/pound

Step-by-step explanation:

Let’s say that the cost of a pound of jelly beans is x, and that the cost of a pound of trail mix is y.

We can then say that 6 pounds of jelly beans + 2 pounds of trail mix, or 6x+2y, equals 20.

Next, 3x+5y=23, and we have

6x+2y=20

3x+5y=23

We can multiply the whole second equation by -2 and add it to the first one to get rid of the x, so -8y=-26. Divide both sides by -8, and a pound of trail mix, or y, is 26/8, or $3.25. Plugging this back into the first equation, we get that

6x+2(26/8)=20, so (20-2(26/8))/6=x=2.25, or the cost of one pound of jelly beans

Final answer:

To solve for the cost per pound of jelly beans and trail mix, create and solve a system of algebraic equations using the provided information. Multiply and subtract equations as needed to eliminate one variable and solve for the other, then back-substitute to find the second value.

Explanation:

The question involves a system of two equations based on the prices of jelly beans and trail mix. We can use algebra to solve for the cost per pound of each. Let's denote the cost per pound of jelly beans as j and the cost per pound of trail mix as t.

The two equations based on the given information are:

6j + 2t = $203j + 5t = $23

To solve these equations, we can use either substitution or elimination. Let's use the elimination method:

Multiply the first equation by 3 and the second by 2.This gives us 18j + 6t = $60 and 6j + 10t = $46.Subtracting the second equation from the first gives us 12j - 4t = $14.Multiply the second original equation by 2, yielding 6j + 10t = $46.Now take the modified first equation (12j - 4t = $14) and divide by 2 to simplify, getting 6j - 2t = $7.Adding this to the modified second equation results in 12j + 8t = $53.We can now solve for one variable. For instance, from 6j - 2t = $7, we can express t as (6j - $7)/2.Substitute this expression for t in one of the original equations to find j.Once j is found, use it to calculate t from either equation.

After solving, we will find the costs per pound for jelly beans and trail mix.

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Write seven hundred eighty-six thousandths as a decimal number

Answers

Answer:

0.7860

Step-by-step explanation:

Answer:

0.7860

Step-by-step explanation:

It is because there is no "and." If it were to say: seven hundred and eighty-six thousandths it would be 700.860.

Whenever it ads "ths" at the end it will be a decimal.

A $18.00 haircut cost $25.63 after tax and tip. What percent was the tax and tip combined? If needed, round the answer to the nearest tenth

Answers

Answer:

42.3 percent was the tax and tip combined.

Step-by-step explanation:

Given : A $18.00 haircut cost $25.63 after tax and tip.

To find : What percent was the tax and tip combined?

Solution :

Using sales tax formula,

[tex]\text{Sales tax}=\text{Rate}\times \text{Original price}[/tex]

Original price = $18

After tax and tip cost is $25.63

Sales tax = After tax and tip cost - Original cost

Sales tax = $25.63 - $18

Sales tax = $7.63

Substitute the values,

[tex]7.63=\text{Rate}\times 18[/tex]

[tex]\text{Rate}=\frac{7.63}{18}[/tex]

[tex]\text{Rate}=0.423[/tex]

Into percentage,

[tex]\%\text{Rate}=0.423\times 100=42.3\%[/tex]

Therefore, 42.3% was the tax and tip combined.

Writing expressions. 3 times the sum of 4 and 8

Answers

Answer:

3(4+8)

Step-by-step explanation:

Answer:

3 * (4 + 8)

Step-by-step explanation:

Step 1:  Convert words into an expression

3 times the sum of 4 and 8

3 times = 3 *

Sum of 4 and 8 = (4 + 8)

3 * (4 + 8)

Answer:  3 * (4 + 8)

Find the lateral and total surface area of the prism.

lateral SA:_____

Total SA:_____

Answers

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

Solution:

Length of the prism = 13 in

Width of the prism = 10 in

Height of the prism = 20 in

Lateral surface area of the prism = 2(l + w)h

                                                       = 2(13 + 10) × 20

                                                       = 2(23) × 20

                                                       = 920 in²

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = Lateral area + 2lw

                                                     = 920 + 2 × 13 × 10

                                                     = 920 + 260

Total surface area of the prism  = 1180 in²

Hence Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

Final answer:

The lateral surface area of a prism is found by multiplying the perimeter of the base shape by the height of the prism. The total surface area is the lateral surface area plus twice the area of the base shape. The formulas are applied differently depending on the base shape of the prism.

Explanation:

To find the lateral surface area (SA) and the total surface area of the prism, we need to apply the correct formulas. The lateral SA for a prism is the perimeter of the base shape times the height. The total SA is the lateral SA plus twice the area of the base shape.

For example, let's use a rectangular prism with dimensions: length (l)=5 cm, width (w)=3 cm, and height (h)=10 cm. The lateral SA = 2*h*(l+w) = 2*10*(5+3) = 160 sq cm. The base shape has area = l*w, so total SA = 2*lw + lateral SA = 2*(5*3) + 160 = 30*2 + 160 = 220 sq cm.

In similar manner, the formula can be adjusted depending upon the base shape of the prism like for a triangular prism, square prism, etc.

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10. For the equation 3x – 4 = 8, which
number makes the equation true:
x = 2, x= 3, X= 4, or x = 5?

Answers

Answer:

x  = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x  = 4

3x-4+4=8+4
3x=8+4
3x= 12
X=4

× + 20 + 2× = 10 - 2× - 15

Answers

Answer:

The answer is -5

Step-by-step explanation:

[tex]\mathrm{Group\:like\:terms}\\x+2x+20=10-2x-15[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:x+2x=3x\\3x+20=10-2x-15[/tex]

[tex]\mathrm{Group\:like\:terms}\\3x+20=-2x+10-15[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:10-15=-5\\3x+20=-2x-5[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\3x+20-20=-2x-5-20[/tex]

[tex]\mathrm{Simplify}\\3x=-2x-25[/tex]

[tex]\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\3x+2x=-2x-25+2x[/tex]

[tex]\mathrm{Simplify}\\5x=-25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-25}{5}[/tex]

[tex]\mathrm{Simplify}\\x=-5[/tex]

Hope this helps you greatly!

Have a great afternoon!

Using the double angle identities, find sin2x given sinx=4/5

Answers

Answer:

  24/25

Step-by-step explanation:

The usual form of the double-angle identity is for sine is ...

  sin(2x) = 2sin(x)cos(x)

The cosine can be found from the sine using the Pythagorean identity ...

  sin(x)² + cos(x)² = 1

  cos(x) = √(1 -sin(x)²)

__

Filling in the given value for sin(x), we can find the cosine to be ...

  cos(x) = √(1 -(4/5)²) = √(9/25) = 3/5 . . . . . . . assuming a first-quadrant angle

Then the desired sine is ...

  sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5)

  sin(2x) = 24/25

Dylan is going to the fair and has $35. He is going to use $5 for food. The admission is $7, and rides are $1.85 each.
Which of the following equations could you use to find how many rides Dylan can go on?

Answers

5+7=12-35=23

EQUATION. 12+1.85x=35

ANSWER. 12 RIDES

Answer

. 12 RIDES

Step-by-step explanation:

Match each word to the appropriate example using the expression 5a + 9b - 4.
is a coefficient
is a constant.
There are
terms in the expression.

Answers

Answer:

9 is the coefficient

-4 is the constant

There are 3 terms in the expression.

Step-by-step explanation:

Final answer:

The expression 5a + 9b - 4 consists of three terms: 5a, 9b, and -4. The coefficients are 5 and 9, while the constant is -4.

Explanation:

The expression 5a + 9b - 4 consists of three terms. Each term represents a part of the expression that is separated by + or - signs.

In this expression, 5a, 9b, and -4 are the terms.

The coefficient is the number that multiplies the variable. In this expression, the coefficients are 5 and 9.

The constant is a term that does not have a variable attached to it. In this expression, the constant is -4.

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A quiz has four multiple-choice questions; each question is either true or false. How many different solution keys are possible?

Answers

Answer: 2 solution keys

Step-by-step explanation:

Although question has True or False as solution, while the multiple questions are four, solution keys still equals 2, since True in an option in the four questions, false is another option in the four questions.

I hope this helps.

If p || q, solve for x.​

Answers

The value of x is 8.

Solution:

Given line p is parallel to line q.

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

(11x - 5)° = (7x + 27)°

11x° - 5° = 7x°  + 27°

Add 5° on both sides.

11x° = 7x°  + 32°

Subtract 7x° from both sides.

4x° = 32°

Divide by 4 on both sides.

x° = 8°

x = 8

The value of x is 8.

What is Six less than y

Answers

Answer:

y-6

Step-by-step explanation:

Y minus six

Step-by-step explanation:

The post hoc test that is calculated by dividing the desired a level by the number of comprehensions is the
A. Bonferroni correction.
B. Duncan test.
C. Scheffe test
D. Tukeys HSD​

Answers

C. The Scheffé test. Looked up the definition online
Final answer:

The Bonferroni correction is the post hoc test calculated by dividing the desired level of significance by the number of comparisons. This test is used to control the Familywise Error Rate, thereby reducing the likelihood of a Type I error.

Explanation:

The post hoc test that is calculated by dividing the desired level of significance, commonly denoted as 'a', by the number of comparisons being made is known as the Bonferroni correction. This adjustment method is designed to control the Familywise Error Rate (FWER), this is, the probability of making one or more Type I errors (rejecting the null hypothesis when it is true) in a set of hypotheses.

For example, if you set your 'desired a level' (also known as the level of significance of the test) at 0.05 and you were making five comparisons, the Bonferroni correction would deflate your 'a level' to 0.05/5 = 0.01.

Therefore, you would only reject a null hypothesis if the p-value for that comparison was less than 0.01, rather than the 0.05 that you originally specified. The effect of this correction is that it makes it harder to reject individual null hypotheses, making the test more conservative and reducing the likelihood of a Type I error.

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Find f(6) if f(x) = x2 ÷ 3 + x.

Answers

Answer:

f(6) = 18

Step-by-step explanation:

So we are given that f(x) = x² ÷ 3 + x, and we are trying to find f(6).

To find f(n) for a function f(x), we plug in n for x into f(x).

To find (6) for f(x) =  x² ÷ 3 + x, we plug in 6 for x into f(x).

f(6) = (6)² ÷ 3 + (6) = 36 ÷ 3 + 6 = 12 + 6 = 18

f(6) would equal 18.

f(6) = 18

I hope this helps. :)

Answer:

18

Step-by-step explanation:

Hope this helps :)

For -3+2y=11 would I add -3 to 11 to find Y, or would I subtract -3 from 11?

Answers

You have to remember that -3 requires you to add 3 to reach 0. What you do to one side of the equation you do to the other. You must add 3 to the -3 to reach zero and you must add three to the 11 as well. Adding a positive number is the same thing as subtracting a negative, so technically you would subtract -3. But this is the same as just adding 3.

Marcus reads for 30 minutes each night. He wants to determine the total number of minutes he will read over the course of a month. He wrote the equation t=30 d to represent the total amount of the time that he has spent reading, where t represents the total number of minutes read and d represents the number of days that he read during the month. Determine which variable is independent and which is dependent. Then create a table to show how many minutes he read in the first seven days,

Answers

Answer:

The time is independent of the months we multiply these minutes as grouping with subject impression or importance. This way within the frequency you can see 263340 represents what score you are looking for importance ie) 20/20 for your book choice. This is 8 days which fits better for a monthly review 8,8,8 and 6. Which would easily be readable in the minute totals.

240= 8 nights  180 minutes = 6 nights. Having a frequency helps determine patterns for  book interest and study.

Step-by-step explanation:

         Subjects (imp)                  Minutes (M P/D)             F(Frequency)

score 1-3                                     30                                   60

         4-6                                     60                                  300

         7-9                                     60                                  420

        10-12                                   90                                  990

Total  26                  +                240   ...266 x990  = 263340                                                                                          

         

Peter is saving for a down payment of $50,000 for a new home. Yesterday, he created an equation that models his current savings plan to
determine how long it will take him reach his goal. In his model, y represents the total amount saved and x represents the number of months
since yesterday. Which statement is true?
Step 1:
Step 2:
30,000
Step 3:
y= 30,000 + 2,000x
y - 30,000 = 30,000 + 2,000x-
y - 30.000 = 2,000x
y - 90,000 2,000
2,000 = 2,000
Step 4:
y
- 30,000
Step 5:
2,000 = x
50,000 - 30,000
=x
2,000
Step 6:
Step 7:
10 = x
O A.
Peter used the division property of equality in step 4.
OB.
Peter used the substitution property in step 5.
C.
Peter used the subtraction property of equality in step 5.
OD. Peter used the associative property in step 6.

Answers

Answer:

Step-by-step explanation:

step 1 y = 30000 + 2000x

step 2 y - 30000 = 30000 + 2000x - 30000

step 3 y - 30000 = 2000x

step 4 y-30000/2000 = 2000x/2000

step 5 y - 30000/2000 = x

step 6 50000 - 30000/2000 = x

step 7 10 = x

therefore the correct option should be

Peter used the division property of equality in step 4.

Final answer:

Peter used the subtraction property of equality in Step 5 of his savings plan equation to determine how much more he needs to save. He subtracted his current savings from his goal to get the remaining amount that has to be saved.

Explanation:

The statement that is true based on the steps provided is C. Peter used the subtraction property of equality in step 5. To explain, in step 5, Peter was using the subtraction property of equality when he subtracted $30,000 from his goal of $50,000. The subtraction property of equality states that if you subtract an equal amount from both sides of an equality, it still remains equal. In this case, he subtracted his current savings (i.e., $30,000) from his target amount (i.e., $50,000) to determine how much more money he has to save.

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On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.

When will A and B be 220 units apart?

Answers

Answer:

20 seconds

Step-by-step explanation:

The speed of A is:

sA = 18 units / 3 seconds = 6 units/second

The speed of B is:

sB = -15 units / 3 seconds = -5 units/second

The relative speed is:

s = sA − sB

s = 6 units/second − (-5 units/second)

s = 11 units/second

The time for the distance between them to be 220 units is:

220 units = 11 units/second × t

t = 20 seconds

Explain how you can use a number line to find the sum

Answers

Let's say you wanted to add 2 and 7

One way is you start at 2 on the number line, then move 7 units to the right until you land on 9. This visually shows 2+7 = 9.

Or you could start at 7 and move 2 units to the right, and you'll end up at 9 as well. You can think of it like 2+7 and 7+2 are the same thing.

is 5361 divisible by three how do you know just by looking at it

Answers

Answer and explanation

You add all of the digits together a see if it is divisible by 3 sooooo...........

5+3+6+1=15/3=5

Which of the following sets shows all the numbers from the set {2, 3, 4, 5 that are part of the solution inequality 4n + 6> 22

Answers

{ 5 } shows all the numbers from the set {2, 3, 4, 5 }that are part of the solution inequality 4n + 6> 22

Solution:

Given inequality is:

[tex]4n + 6 > 22[/tex]

Substitute n = 2

[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]

14 is not greater than 22

Thus, n = 2 does not satisfy the given equation

Substitute n = 3

4(3) + 6 > 22

12 + 6 > 22

18 is not greater than 22

Thus, n = 3 does not satisfy the given equation

Substitute n = 4

4(4) + 6 > 22

16 + 6 > 22

22 is equal to 22

Thus, n = 4 does not satisfy the given equation

Substitute n = 5

4(5) + 6 > 22

20 + 6 > 22

26 > 22

26 is greater than 22

Thus, n = 5 satisfies the given equation

indicate the standard form the equatin of the line passing through the given pints E(-2,2) F(5,1)

Answers

Answer:

y = -x/7 + 12/7

Step-by-step explanation:

We are requested to find the standard equation of a line

We are given two points

E and F

E ( -2 , 2)

F ( 5 ,1 )

Step 1: find the slope

m = y_2 - y_1 / x_2 - x_1

x_1 = -2

y_1 =2

x_2 = 5

y_2 = 1

Inserting the values

m = 1 - 2 / 5 - (-2)

m = 1 -2 / 5 + 2

= -1 / 7

Slope = -1/7

Step 2: using the point slope form

y - y_1 = m( x - x_1)

Using point ( 5, 1)

x_1 = 5

y_1 = 1

m = -1/7

Insert the values

y - 1 = -1/7(x - 5)

y - 1 = -1(x - 5)/7

Open the bracket with -1

y - 1 =( -x + 5) / 7

following the equation of a line

y = mx + C

y = (-x + 5)/7 + 1

LCM = 7

y = (-x + 5+ 7) / 7

y = (-x + 12)/7

We can still separate

y = -x/7 + 12/7

The standard equation of a line is

y = -x/7 + 12/7

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Public companies under the jurisdiction of the Securities and Exchange Commission are required by law to hire a certified public accounting firm (independent auditor) to assess whether their published financial statements are in compliance with Generally Accepted Accounting Principles (GAAP). This statement is:______. A. True B. False You are certain to get a heart comma diamond comma club comma or spade when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive The only major allied nation that lost land after world war 1 was Russia Question 2:Describe the relationship between the following expressions:3(25 x 25) and (25 x 25) The main advantage of sexual reproduction is _____.rate of reproductiongenetic variationneed for two parentsability to create exact genetic copies Intntalo!Fill in the blanks Activity Textbook InstructionsIndica el reflexivo recproco adecuado de estos verbos en el presente o el pretrito. February 21 11:59 PM 3 attempts remaining Grade settings External referencesGrammar presentation 386-387 Questions presente Modelo (escribir) Los novios se escriben. Question 1 with 3 blanks(escribir) Nosotros . Ana y Ernesto . Ustedes . Question 2 with 3 blanks(escuchar) Mis tos . Nosotros . Ellos . Question 3 with 3 blanks(ver) Nosotros . Fernando y Toms . Ustedes . Question 4 with 3 blanks(llamar) Ellas . Mis hermanos . Pepa y yo . pretrito Modelo (saludar) Nicols y t se saludaron. Question 5 with 3 blanks(saludar) Nuestros vecinos . Nosotros . Armando y Daniel . Question 6 with 3 blanks(hablar) Los amigos . Elena y yo . Ustedes . Question 7 with 3 blanks(conocer) Alberto y yo . Ustedes . Ellos . Question 8 with 3 blanks(encontrar) Ana y Javier . Los primos . Mi hermana y yo . Explain why scientists must use only certain enzymes wheninserting or removing a defective gene from a cell when did the anti federalist support the constitution? A consumer searching for information will create a list of brands or products that he or she will evaluate as options for the solution of a particular problem. This list is referred to as:___________. how many degreese are in 1/9angle 5) What is the solution to the system of equations?y=-2x+1 and y=-4/7x +1A) (0,1)B) (1,0)C) (-2,1)D) (-2, -4/7) Which of these statements is true?1-Gutters are installed against the soffit.2-Fascia requires openings for ventilation.3-Drip edges prevent water from running underneath an overhang.4-A gutter is installed flush with the fascia.5-A vent spacer is installed underneath the rafter insulation. From a macro view, what do you think are two strategic change issues that most organizations are facing today? How are some organizations responding to these issues? Give examples. The committee chose three students to attend science camp.A. science camp was choosing for three students to attend.B.three students were chosen by the committee to attend science camp.C.science camp was choosing for three students by the committee.D.three students who attended science camp were choose and by the committee. A certain metal M forms a soluble sulfate salt MSO, Suppose the left half cell of a galvanic cell apparatus is filled with a 3.00 M solution of MSO, and the ight half cell with a 30.0 mM solution of the same substance. Electrodes made of M are dipped into both solutions and a voltmeter is connected between them. The temperature of the apparatus is held constant at 35.0 C lf right 410 Which electrode will be positive? What voltage will the voltmeter show? Assume its positive lead is connected to the positive electrode. Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits. The unusual forest biome occurring in California, Oregon, Washington, and British Columbia iscalled aSelect one:a tropical rainforestb. boreal forestC. temperate rainforest.d. temperate deciduous forest A candy store makes a 10-lb mixture of gummy worms, candy corn, and sourballs. The cost of gummy worms is $1.00 per pound, candy corn cost $3.00 per pound, and sourballs cost $1.50 per pound. The mixture calls for three times as many gummy worms as candy corn. The total cost of the mixture is $15.00. How much of each ingredient did the store use? A project manager is responsible for (check all that apply) solving project technical issues and team conflicts his/her clients company stock price knowing and following rules and procedures related to the project addressing and seeking help from management on ethical issues Bacteria can be classified by shape. For the following bacteria species, give their basic bacterial shape.Streptococcus pyogenes:____________________ Paenibacillus polymyxa:_____________________ Aquaspirillum bengal:______________________ Mrs.stevens has award winning rose bushes that grow at a rate of 3/4 foot per week. Her American home rose bush currently measures 5 feet tall, while her camp David Rose bush is 4 1/2 feet tall in two weeks how tall will mrs.stevens American home rose bush measure?