Select the y-intercept and another point that lies on the graph of the equation y = 3x − 2.

Answers

Answer 1

The y-intercept of the equation y = 3x − 2 is (0, -2).

y-intercept

In Mathematics, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx + c, where m is slope and c is the y-intercept.

Equation of a line

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

Given that lies on the graph of the equation y = 3x − 2.

We know that

In an equation of line

y = mx + c

m = slope of a line

c = y intercept

So therefore in given equation of line the y intercept is (0, -2).

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Related Questions

Need to know if I’m doing this right and understanding it

Answers

Solution

Intercepts : (0 , ) and (160, 0 )

Symmetry: x = 60

positive: (0 , 120)

negaive: (--∝ , 0) U (120 , +∝)

Increasing: (-∝ , 60)

Decreasng ; (60 , +∝)

Relatve extrema: (150

help me please


thank you

Answers

Part (a)

[tex]P(0)=0.7166(0)^2+6.267(0)+1.344 \approx 1.3[/tex]

Part (b)

[tex]P(5)=0.7166(5)^2+6.267(5)+1.344 \approx 50.6[/tex]

Part (c)

[tex]P(10)=0.7166(10)^2+6.267(10)+1.344 \approx 135.7[/tex]

What property of real numbers does each statement demonstrate? a + (-a) = 0 A Additive Inverse B Commutative Property of Addison c Associative Property of Addron o Distributive Property

Answers

solution

For this case the best way to solve this problem

a +(-a)=0

Is using the :

A. Additive inverse property

A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker? Explain.?

Answers

Both milkshakes have the same thickness.

How to find the thickness of milk?

Given,

A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.

Solution:

Since the mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream,One ounce ice equal = 1.25 / 4 = 0.35 ounce of milk.Since the strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream,One ounce of ice equal = 1.75 / 5 = 0.35ounce of milk.Since both have an equal milk-ice ratio, both milkshakes have the same thickness.

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For installation with a 300-kVA, 3-phase transformer, a 480-volt primary, and a 240-volt secondary. Calculate the maximum overcurrent protection value (not the fuse or circuit breaker rating) using the protection method for primary-only protection. (Round the FINAL answer to two decimal places.)

Answers

By using the protection method for primary-only protection, the maximum overcurrent protection (MOCP) is equal to 451.59 Amperes.

What is MOCP?

In Electrical engineering, MOCP is an abbreviation for maximum overcurrent protection and it can be defined as the maximum allowable current rating that is required for any circuit breaker or fuse, in order to properly protect an electrical equipment, especially under uncertain or anticipated fault conditions.

Mathematically, the amount of current flowing through the primary winding of a three-phase transformer can be calculated by using this mathematical expression:

Current, I = 3-phase KVA/(1.73 × Voltage)

Substituting the given parameters into the formula, we have;

Current, I = 300,000/(1.73 × 480)

Current, I = 300,000/830.4

Current, I = 361.27 Amperes.

By using the protection method for primary-only protection, the maximum overcurrent with 25% above the current is given by:

Maximum overcurrent = 125% × Current

Maximum overcurrent = 125/100 × 361.27

Maximum overcurrent = 45,158.75/100

Maximum overcurrent = 451.5875 ≈ 451.59 Amperes.

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he Hamiltons are paving their driveway. They are paving a rectangular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. What is the actual area of the entire driveway they want to pave?

Answers

If they are paving a rectangular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. The actual area of the entire driveway they want to pave Is 1350 feet²

Actual area

First step is to find the length of both side

Actual length on side

Length = ( 5 + 4) × 3

Length = 9 × 3

Length = 27 feet

Actual length of the other side

Length = 16 2/3 × 3

Length = 16 ×3 +2/3 ×3

Length = 16×3+2

Length = 48 +2

Length = 50 feet

Now let determine the actual area of the whole driveway they want t0 pace

Actual area = 50 feet × 27 feet

Actual area = 1350 feet²

Therefore we can conclude that the actual area is 1350 feet².

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Joe has 3/4 cup of paint in a container. He uses 1/3 cup on a project and then adds another 1/2 cup. How much paint does he have now?​

Answers

Answer:

Step-by-step explanation:

The cup of paint he has now is  11/12.

What is the amount of paint he has now?

We are basically going to add or subtract the quantity of cup added or used respectively.

Initially, he has 3/4 cup of paint.

He uses 1/3 cup out of the 3/4 cup of paint, so we subtract 1/3 from 3/4:

= 3/4 - 1/3 = 5/12

He adds another 1/2 cup, so we add 1/2 to what we have left previously (5/12):

= 5/12 + 1/2 = 11/12

Therefore, the amount of paint he has now is 11/12 cup

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What line gets the proportionality between y and x of 4/3

Answers

Answer is line B

Reason: 4/3 proportionality means y/x
y = 4, x = 3

Graph these points (3, 4) and line B crosses this coordinate

Santa owed $91 on a bill. By mistake Santa sent a check for $120. What is the balance on Santa's account?

Answers

ANSWER

[tex]\$29[/tex]

EXPLANATION

To find the balance on Santa's account, we have to subtract the amount he owed from the amount on the check he sent.

Therefore, the balance on Santa's account is:

[tex]\begin{gathered} 120-91 \\ \Rightarrow\$29 \end{gathered}[/tex]

That is the answer.

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the TOTAL number of students in Ms. Cunningham’s class?

Responses

Answers

The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

Number of girls in the class =18

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3

i.e. Ratio of boys and girls =2:3

Boys  : Girls  = 2 : 3    

B/G  = 2/3  -------1.

B/18 = 2/3

B = (18 x 2)/3

Boys =  12

Number of boys in the class = 12

Boy = 2x

12 = 2x

x = 12/2 = 6

number of girls in the class is 3x

3 x 6 = 18

Therefore, total number of students =12+18=30

The total number of students(boys and girls) in Ms. Cunningham’s class are 30.

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7x+19 (less than or equal too) 12

Answers

Answer:

x [tex]\leq[/tex] 17/7

Step-by-step explanation:

7x + 19 [tex]\leq[/tex] 12

Is the inequality you are trying to solve.

When solving an inequality, we solve it like a regular equation and do inverse operations by looking at the number and doing the opposite of whatever its operation is. Whatever happens on one side happens to the other. So you would first subtract 19 on both sides.

1. 7x + 19 [tex]\leq[/tex] 12

        -19       -19

   7x [tex]\leq[/tex] -17

the reason we subtracted was because the opposite operation to addition is subtraction as the number 19 had had a plus sign behind it

--

We would now divide as the operation opposite to multiplication is division and 7x is 7 times x

2. 7x [tex]\leq[/tex] -17

    ÷7    ÷7

  x [tex]\leq[/tex] [tex]\frac{17}{7}[/tex] OR 2 [tex]\frac{3}{7}[/tex]

--

The answer is:

x [tex]\leq[/tex] 17/7

Hope this helped!

Graph they given functions FNG in the same rectangular coordinate system describe the graph of G is related to the graph of F

Answers

Functions given:

[tex]f(x)=4x[/tex][tex]g(x)=4x-4[/tex]

Using a graphing calculator, we can find the graph of both functions:

The red line is representing f(x) graphically, while the blue line is representing g(x) graphically.

As they have the same slope, then f(x) is parallel to g(x).

Answer:

The functions are parallel.

Macy babysits the children in her neighborhood. For each family, she charges a flat fee plus a per hour charge as described by the data in the table.Which equation represents the total amount Macy charges for each family where x represents the number of hours she babysits? A. y = 4x + 71 B. y = 9x + 7 C. y = 4x + 36 D. y = 13x + 117

Answers

Answer:

B. y=9x+

Explanation:

To deermine tehe equation, pick two pairs of points from the table.

• The points are (8, 79) and (12, 115)

Substitute these points into the lope-ointercept form of the equation of a line.

[tex]y=mx+b[/tex]

At (8,79): x=8 and y=79

[tex]79=8m+b[/tex]

At (12, 115): x=12 and y=115

[tex]115=12m+b[/tex]

Solve the two equations siultaneously fror m and b.

[tex]\begin{gathered} 79=8m+b \\ 115=12m+b \\ Subtract \\ -36=-4m \\ \implies m=\frac{-36}{-4}=9 \end{gathered}[/tex]

Next, substitute m=9 into the first equation to solve for b:

[tex]\begin{gathered} 79=8m+b \\ 79=8(9)+b \\ b=79-72 \\ b=7 \end{gathered}[/tex]

Substitute m=9 and b=7 into the slope-intercept form:

[tex]y=9x+7[/tex]

The equation that represents the total amount Macy charges for each family where x represents the number of hours she babysits is:

[tex]y=9x+7[/tex]

Option B is correct.

a ____ polynomial is a polynomial with a degree of 3

Answers

Let's understand some definitions first:

Polynomial - an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). (oxford languages)

When we have 1 term, we call it a monomial.

When we have 2 terms, we call it a binomial.

When we have 3 terms, we call it a trinomial.

Now,

• When the power of a variable is 1, we call it a line:

[tex]\begin{gathered} x \\ 2x \\ \text{etc.} \end{gathered}[/tex]

• When the highest power is 2, we call it a quadratic polynomial:

[tex]\begin{gathered} x^2 \\ 3x^2 \end{gathered}[/tex]

• When the highest power is 3, we call it a cubic polynomial:

[tex]\begin{gathered} x^3 \\ -2x^3 \end{gathered}[/tex]

Question

A ____ polynomial is a polynomial with a degree of 3​

Answer

A cubic polynomial is a polynomial with a degree of 3​

Evaluate the expression y=-4y^2 + 6y+9by th way that's y to the power of 2

Answers

we have the following:

[tex]y^2+6y+9[/tex]

replacing, y = -4

[tex]\begin{gathered} (-4)^2+6\cdot(-4)+9 \\ 16-24+9=25-24=1 \end{gathered}[/tex]

therefore, the answer is 1

Complete the remaining steps of the proof:given: -angle QSR is congruent to angle TRS-side PR is congruent to side PSProve:triangle QSR is congruent to triangle TRS. StatementsReasons1. Given1. PR = PSZQSR *ZTRS2. ZTSR * ZQRS 2.I3. SR RS3.4. AQSR SATRS4.Corresponding parts of congruent triangles arecongruent:: Base angles of an isosceles triangle are congruentReflexive property:: Side-Angle-Side (SAS) postulateAngle-Side-Angle (ASA) postulate

Answers

Write out the given parameter for the proofing

Given:

[tex]\begin{gathered} \Delta QSR\cong\Delta TRS \\ \vec{}PR\cong\vec{}PS \end{gathered}[/tex]

From the given parameters, it can be seen that triangle PSR is an isosceles triangle because two sides (line PR and line PS) are equal

An isosceles triangle has two equal base angles.

[tex]\angle TSR\cong\angle\text{QRS(base angles of isosceles triangle are equal)}[/tex]

Triangle QSR and triangle TRS has a common side which is line SR and line RS. This property is reffered to as reflective property

[tex]\vec{}SR\cong\vec{}RS(reflective\text{ property)}[/tex]

From the above proofs, it can be seen the triangle QSR and triangle TRS have a same side and same angles

Therefore,

[tex]\Delta QSR\cong\Delta TRS(angle-side-angle(ASA)postulate)[/tex]

Nothing

3k-18 written as a product of 3

Answers

The answer is 6

If you divide 18 by 3 it's 6

Solve x for the following equation
2^-x =3 * 2^x
in words: 2 to the power of -x = 3 times 2 to the power of x

Answers

The solution of x for the exponential equation 2⁻ˣ =3 × 2ˣ would be x = - log 3 / log 2.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

The given exponential equation below is:

2⁻ˣ = 3 × 2ˣ

Take the logarithm on both sides of the equation,

log 2⁻ˣ = log 3 × 2ˣ

-x log 2 = log 3 + log 2ˣ

-x log 2 = log 3 + x log 2

x log 2 = - log 3

x = - log 3 / log 2

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At an after-season sale on winter clothes, I found a bunch of really cute hats and scarves. I decided to buy two hats and two scarves for myself to have for next year. I spent $72. When I told my friends about the sale, they asked me to go back and get something for them. I ended up spending $46 on one hat and two scarves. What was the price of a single hat and a single scarf?Write two integers separated by comma, no spaces, no dollar sign

Answers

ANSWER

One hat costs $26 and one scarf costs $10

EXPLANATION

Let the price of one hat be h.

Let the price of one scarf be s.

Two hats and two scarves cost $72. This implies that:

[tex]2h+2s=72[/tex]

One hat and two scarves cost $46. This implies that:

[tex]h+2s=46[/tex]

From the second equation, make h the subject of the formula:

[tex]h=46-2s[/tex]

Substitute that into the first equation and solve for s:

[tex]\begin{gathered} 2(46-2s)+2s=72 \\ 92-4s+2s=72 \\ \Rightarrow92-72=4s-2s \\ 2s=20 \\ \Rightarrow s=\frac{20}{2} \\ s=\$10 \end{gathered}[/tex]

Substitute the value of s into the equation for h and solve for h:

[tex]\begin{gathered} h=46-2(10) \\ h=46-20 \\ h=\$26 \end{gathered}[/tex]

Hence, one hat costs $26 and one scarf costs $10.

Suppose a normal distribution has a mean of 18 abd a standard deviation of 4. A value of 24 is how many standard deviations away from the mean

Answers

Normal Distribution

The normal distribution can be described by two parameters: the mean and the standard deviation.

We are given the parameters of a normal distribution as follows:

Mean = 18

SD = 4

A value of 24 is 24 - 18 = 6 units away from the center of the distribution, or the mean value.

Calculating the ratio of 6 units by 4 units, we get 6 / 4 = 1.5

This means the given value is 1.5 standard deviations away from the mean

factor each trinomial if the trinomial cannot be factored write prime. show ALL work1.) 2x^2+5x-122.) 6x^2-23x+7

Answers

1) the initial expression is:

[tex]2x^2+5x-12[/tex]

To factor this expression we can use the cuadratic formula that is:

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4(a)(c)}}{2(a)} \\ a=2 \\ b=5 \\ c=-12 \end{gathered}[/tex]

so we replace the values and we get:

[tex]\begin{gathered} x=\frac{-5\pm\sqrt[]{5^2-4(2)(-12)}}{2\cdot2} \\ x=\frac{-5\pm\sqrt[]{121}}{4} \\ x=\frac{-5\pm11}{4} \end{gathered}[/tex]

So now we have two solutions so:

[tex]\begin{gathered} x_1=\frac{-5+11}{4}=\frac{6}{4}=\frac{3}{2}=1.5 \\ x_2=\frac{-5-11}{4}=-\frac{16}{4}=-4 \end{gathered}[/tex]

so the factor expression will be:

[tex](x-\frac{3}{2})(x+4)[/tex]

2) the initial expression is:

[tex]6x^2-23x+7[/tex]

so we repeat the same procedure so:

[tex]\begin{gathered} x=\frac{23\pm\sqrt[]{23^2-4(6)(7)}}{2(6)} \\ x=\frac{23\pm\sqrt[]{529-168}}{12} \\ x=\frac{23\pm\sqrt[]{361}}{12} \\ x=\frac{23\pm19}{12} \end{gathered}[/tex]

So the two possible solutions are:

[tex]\begin{gathered} x_1=\frac{23+19}{12}=\frac{42}{12}=\frac{7}{2}=3.5 \\ x_2=\frac{23-19}{12}=\frac{4}{12}=\frac{2}{6}=\frac{1}{3}=0.33 \end{gathered}[/tex]

so the factor form is:

[tex](x-\frac{7}{2})(x-\frac{1}{3})[/tex]

My family has 12 member coming for Christmas dinner. Each person eats an average of 4 lbs of food. How much food should I prepare?

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Family

12 members

4 lb food per person

total food = ?

Step 02:

total food

[tex]\begin{gathered} \text{total food = 12 people}\cdot\frac{4lb}{\text{person}} \\ \end{gathered}[/tex]

total food = 48 lb

The answer is:

You should prepare 48 lb of food

Which decimal equivalent is NOT correct for the given set of numbers

Answers

EXPLANATION

Since the value 7/10 is equivalent to 0.7, not to 0.07, the last equivalence is NOT correct.

The function y=f(x)is graphed below. What is the average rate of change of the function f(x) on the interval−4≤x≤−1

Answers

STEP - BY - STEP EXPLANATION

What to find?

The average rate of change of the given function.

Given:

Step 1

State the average rate of change formula.

[tex]Average\text{ rate of change=}\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Step 2

Determine the values of the function at the given interval.

Let x₁ = -4 and x₂ = -1

Locate f(x₁) and f(x₂) on the graph given.

f(x₁) = 4 and f(x₂)= -2

Step 3

Substitute the values into the formula and simplify.

[tex]Average\text{ rate of change=}\frac{-2-4}{-1+4}[/tex][tex]=\frac{-6}{3}[/tex][tex]=-2[/tex]

ANSWER

Average rate of change = -2

19. Put these numbers in order from least to greatest: V36, V27, V16, V10, V8, V64(2 pts.)-2520 adenotto

Answers

EXPLANATION

Putting the numbers from least to greast give us:

8, 10, 16, 27, 36, 63

If you own a larger lawn, you must use more water to hydrate it.
Identify the independent variable.

Answers

Answer:

the independent variable is the lawn size

Step-by-step explanation:

Answer: The lawn size

Step-by-step explanation: The independent variable is the input which causes the output to change.

Geometry Angle of Depression and Angle of Elevation. 2. - 3.

Answers

2) We can draw this situation as:

We can now find the angle x.

We can use trigonometric ratios as:

[tex]\begin{gathered} \tan(x)=\frac{Opposite}{Adjacent}=\frac{23}{34} \\ x=\arctan(\frac{23}{34}) \\ x\approx34.08\degree \end{gathered}[/tex]

3) We can draw this situation as:

We can find x as:

[tex]\begin{gathered} \tan(x)=\frac{Opposite}{Adjacent}=\frac{12}{17} \\ x=\arctan(12/17) \\ x\approx35.22\degree \end{gathered}[/tex]

Answer:

2) 34.08°

3) 35.22°

Is 2x-y=44x-2y=6 A Consistent and dependent?

Answers

Solution

We are given the two equations

[tex]\begin{gathered} 2x-y=4\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ 4x-2y=6\ldots\ldots\ldots.\ldots\ldots\text{.}(2) \end{gathered}[/tex]

Now, equation (1) x 2

[tex]\begin{gathered} 4x-2y=8\ldots\ldots.\ldots\ldots\ldots\ldots\ldots(1) \\ 4x-2y=6\ldots\ldots\ldots\ldots\ldots\ldots.\ldots(2) \end{gathered}[/tex]

Equation (1) - equation (2)

[tex]\begin{gathered} (4x-4x)+(-2y-(-2y))=8-6 \\ 0+0=2 \\ 0=2 \end{gathered}[/tex]

Which is never possible!

Therefore, the system of equation is NOT consistent.

Note:

Let us also draw the graph of the eqautionm given

Therefore, the system of equation is Inconsistent and Independent

Last semester, Jim earned an A in his 4-credit MATH 128 class, a B+ in his 3-credit ENG 152 class, a C- is his 2-credit COM 210 class, and a A- in his 5-credit HIST 151 class. What was his GPA for the semester? Be sure to use the following grade values in your calculation.

Answers

Jim's GPA for the last semester was 3.41.

What is the GPA?

The Grade Point Average (GPA) is the summary of academic achievement in an academic period (semester).

GPA is computed as course unit value multiplied by grade points, divided by the sum of course units.

The Grade Point Average (GPA)  may also be described as the cumulative GPA, that is, the sum of the grade points divided by the sum of the units.

Determining a student's GPA helps the school administrators to ascertain the student's academic progress, verifying areas for further improvement.

Class            Course Grade   Credit Hours    Grade Value   Total Grade

MATH 128               A                     4                         4.0           16 (4 x 4)

ENG 152                  B+                   3                         3.3            9.9 (3 x 3.3)

COM 210                 C-                   2                          1.7            3.4 (2 x 1.7)

HIST 151                  A-                    5                        3.7            18.5 (5 x 3.7)

Total                                              14                                        47.8

GPA = 3.41 (47.8/14)

Thus, for last semester, Jim's GPA was 3.41.

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4)PQRS is a rectangle. The length of the diagonal PR is 10cm. If PQ = 8cm, find the perimeter of the
rectangle.

Answers

The perimeter of the rectangle PQRS would be 28 cm which is the addition of all lengths of sides.

The given rectangle PQRS that has a length of the diagonal PR is 10 cm and PQ = 8 cm

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

To determine the perimeter of the rectangle.

Since opposite sides of the rectangle and diagonal are equal.

⇒ PQ = SR = 8 cm

⇒ PR = QS = 10 cm

⇒ PS = QR = x cm (suppose)

In the rectangle, all the angles are right angles

Now in △QRS,

Using Pythagoras' theorem, we have

QS² = QR² + SR²

10² = x² + 8²

x² = 100 - 64

x =√36

x = 6 cm

So length of PS = QR = 6 cm

The perimeter of the rectangle = PQ + SR + PS + QR

The perimeter of the rectangle = 8 + 8 + 6 + 6 = 28 cm

Therefore, the perimeter of the rectangle PQRS would be 28 cm.

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simon levay discovered that a neural cluster located in the was larger in heterosexual men than in homosexual men. a medulla b hypothalamus c amygdala d hippocampus. e cerebellum Given f(x)= -5x^5 - x^4 + 4x^3 and g(x)= -5x^5 - 3x^3 -5x^2 +8 find and simplify f(x) - g(x).f(x) - g(x) =degree=leading coefficient= ((1/3)x^2))-((1/9)x)-(2/9)=0 mr. steele is speaking to a group of accountants about new tax laws. he presents numerous verifiable facts dealing with tax laws. some people realize that all his statistics come from extremely politically liberal publications that interpret all the facts in a similar way. mr. steele's evidence lacks Based on evidence in Colored People and All You Can Ever Know, whichstatement about identity would both authors most likely agree with? MS-Word 2016 is the latest version of WORD software. True or FalseIt's urgent I did lab about solubility using sugar, table salt, and baking soda. My results show High solubility: Sugar>salt>baking soda. But i still don't get it why...Why does sugar high solubility than salt? Why does salt have high solubility than baking soda? Match each equation to one of the two tape diagrams. Dragon drop each card to match the equation to the correct tape diagram. - (please use ss) A truck driver travels at an average speed of 65 miles per hour on a 230-mile trip to pick up a load of freight. On the return55 miles per hour. What is the average speed for the round trip? (Round your answer to one decimal place Which sentence has one independent clause and no dependent clauses?(1 point)ResponsesA. Before leaving for school, make sure you have everything you need.B. When you finish typing your report, proofread your work and look over your spelling.C. Yesterday afternoon, we won our softball game.D. Will, Doug, and Peter are my brothers. CuIU/uRebecca is playing a video game that involves planting and cutting down trees. Shemoves up an energy level for each tree she plants, and she moves down a level foreach tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.Rebecca is currently at energy level 4. The results of her next 3 turns are:Turn 1: 6 trees cutTurn 2: 8 trees plantedTurn 3: tree cutAnswer the questions to find out whether Rebecca earned bonus poirlts in the next 3turns. Use the number line to help you add.2 3 4 5 6 7 8 9 101. Using only addition, write an expression that represents Rebecca's score after thesethree turns. (Remember that she starts at an energy level of 4.). (2 points) Solving linear functions The sum of the measures of the triangles of all triangles is 180 degrees if one angle of the triangle measures 45 degrees, and the other two angles are equal, what is the measure of each of the other two angels. Jarrett surveyed elementary school students about their favorite animals at the zoo He displayed his results in this circle graph If 412 students chose lions as their favorite zoo animal how many total students did Jarrett survey? what is alternative energy? write hydro-power project important in Nepal? what are the value of interpersonal relationship this painting related to my life For the function y=x^2-15x+10,work out the coordinates of the y-intercept The most active cells in the bodyhave nothing to do with body temperaturecool the body off.produce heathave no effect on temperature What expressions are equivalent to 1/5^(-1) Find the volume of this object.Use 3 for .Volume of a ConeV=Tr2hSin3Volume of aRectangular PrismV = lwh9inbin1in[V ~ [?]in39in