find the sum of all two-digit natural numbers which are not divisible by 3。Want formulas and algorithms​

Answers

Answer 1

The sum of all two-digit numbers which are not divisible by 3 is 2240.

What is Arithmetic progression?

An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, the second number is obtained by adding a fixed number to the first one.

The sum of two-digit number in AP is Sn = n/2[2a+(n-1)d]

First, sum of  two digit number 10, 11.....99 is

n = 90, a = 10 an= 99

Sn = n/2[2a+(n-1)d]

Sn = 90/2[2(10)+(90-1)1]

Sn = 45[20+89]

Sn= 4905

Now, the sum of two digit number divisible by 3 =

12, 15,...99

a = 12, n = 30, d = 3

Sn = n/2[2a+(n-1)d]

Sn=30/2[2(12)+(30-1)3]

Sn= 1665

Hence, sum of two digit number not divisible by 3 are 4905-1665

=2240

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Related Questions

Solve the following compound inequalities. Use both a line graph and interval notation to write each solution set.
t+1-5 ort+1> 5

Answers

The value of the inequality expression given as t + 1 < -5 or t + 1 > 5 is (-oo, -6) u (4, oo)

How to determine the solution to the inequality?

The inequality expression is given as

t + 1 < -5 or t + 1 > 5

Collect the like terms in the above expressions

So, we have

t < -5 - 1 or t > 5 - 1

Evaluate the like terms in the above expressions

So, we have

t < -6 or t > 4

Hence, the solution to the inequality is t < -6 or t > 4

Rewrite as an interval notation

(-oo, -6) u (4, oo)

See attachment of the number line

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With aging body fat increases in muscle mass declines the graph to the right shows the percent body fat in a group of adult women and men as they age from 25 to 75 years age is represented along the X-axis and percent body fat is represented along the Y-axis use interval notation to give the domain and range for the graph of the function for women

Answers

Step 1

The domain and range of a function is the set of all possible inputs and outputs of a function respectively. The domain is found along the x-axis, the range on the other hand is found along the y-axis.

Find the domain of the graph of the function of women using interval notation.

[tex]\text{Domain:\lbrack}25,75\rbrack[/tex]

Step 2

Find the range of the graph of the function of women using interval notation.

[tex]\text{Range:}\lbrack32,40\rbrack[/tex]

Therefore, the domain and range in interval notation for the women respectively are;

[tex]\begin{gathered} \text{Domain:\lbrack}25,75\rbrack \\ \text{Range:}\lbrack32,40\rbrack \end{gathered}[/tex]

How many different lineups can Coach Lay create using 10 girls to fill 5 spots on the basketball court. Positions do not matter.

Answers

This is the formula for combinations

In this case, n = 10 and k = 5

C = 10!/(10-5)!(5)! = 3628800/(120)(120) = 3628800/14400 = 252

Answer:

252 different line u

The entire company went in together to buy lottery tickets. Inside the safe are two different types of lottery tickets. The Mega Million Tickets cost $5 each and the Scratch Off Tickets cost $2 each. They bought 60 tickets totaling $246. what are my x and y variables?x=y=

Answers

we have the following system

[tex]\begin{gathered} \begin{cases}x+y=60 \\ 5x+2y=246\end{cases} \\ \end{gathered}[/tex]

where x is the number of mega million ticktets and y the number of scratch off tickets, so we have that y=60-x and we get that

[tex]\begin{gathered} 5x+2(60-x)=246 \\ 5x-2x+120=246 \\ 3x=126 \\ x=\frac{126}{3}=42 \end{gathered}[/tex]

so they bought 42 mega million tickets and 18 scratch off

Refer to your equation for the line that models the association between latitude and temperature of the cities: Yours y = -12 + 120 Computer calculated y = -1.07 + 119 What does the slope mean in the context of this situation?

Answers

The slope in the equations represent the change in temperature by the change in lattitude. This means that for each unit change in the latitude the temperature will decrease by an amount given by the slope.

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 9.5 ft by 5.5 ft by 9 ft. The container is entirely full. If, on average, its contents weigh 0.99 pounds per cubic foot, and, on average, the contents are worth $4.37 per pound, find the value of the container’s contents. Round your answer to the nearest cent.

Answers

step 1

Find out the volume of the rectangular container

[tex]V=L\cdot W\cdot H[/tex]

Substitute given values

[tex]\begin{gathered} V=9.5\cdot5.5\cdot9 \\ V=470.25\text{ ft3} \end{gathered}[/tex]

step 2

Find out the weight of the container

Multiply the volume by the density of 0.99 pounds per cubic foot

0.99*470.25=465.5475 pounds

step 3

Multiply the weight by the factor of $4.37 per pound

so

4.37*465.5475=$2,034.44

therefore

The answer is $2,034.44

Priya is mixing drops of food coloring to create purple frosting for a cake. She uses 24 drops of red dye and 16 drops of blue dye. Find the ratio of drops of red dye to total drops of dye. Express as a simplified ratio.

Answers

Priya uses 24 drops of red dye,

She also uses 16 drops of blue dye,

[tex]\begin{gathered} \text{Total drops of dye=}24+16 \\ =40\text{drops of dye} \end{gathered}[/tex]

We are told to find the ratio of drops of red dye to the total drops dye.

[tex]=\frac{\text{red drops of dye}}{\text{total drops of dye}}[/tex][tex]\begin{gathered} =\frac{24}{40}=\frac{3}{5} \\ =3\colon5 \end{gathered}[/tex]

Hence, the ratio of drops of red die to the total drops of die to the simplest rato is

3 : 5.

Put the following equation of a line into slope-intercept form, simplifying all fractions.4x + 20y = -180

Answers

The equation of a straight line is

y = mx + c

4x + 20y = -180

make 20y the subject of the formula

20y = -180 - 4x

20y = -4x - 180

divide all through by 20

20y/20 = -4x/20 - 180/20

y = -1/5x - 9

The answer is y = -1/5x - 9 where your slope is -1/5 and intercept is -9

Answer this fraction based Question I will make you btainliest & provide you 50 points​

Answers

Answer:

i) 2/3, ii) 2/9,iii) 4/27,iv) Rs. 40000.

Step-by-step explanation:

i)

A person gives 1/3 of his wealth to his wife, then he is left with:

1 - 1/3 = 2/3 of the total amount

ii)

Then he gives 1/3 of the remainder to his son, the son gets:

2/3*1/3 = 2/9 of the total amount

iii)

The remaining portion is:

2/3 - 2/9 = 6/9 - 2/9 = 4/9 of the total amount

Each daughter gets 1/3 of it as there are three daughters:

4/9 * 1/3 = 4/27 of the total amount

iv)

If the total amount is x, the son gets 2/9x and a daughter gets 4/27x and the difference of the two is Rs 20000:

2/9x - 4/27x = 200006/27x - 4/27x = 200002/27x = 20000x = 20000*27/2x = 270000

This is the total amount.

The amount obtained by a daughter is:

4/27*270000 = 40000

If quadrilateral WXYZ is transformed using the rule T(-1.2), in whatdirections should WXYZ be translated?O 1 unit down, 2 units rightO 1 unit left, 2 units upO 1 unit up, 2 units leftO 1 unit right, 2 units up

Answers

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The product of two consecutive positive even integers is 48. Find the greatest positive integer.

Answers

From that statement we can create the following equation,

[tex]n\cdot \left(n+2\right)=48[/tex]

solving for n,

[tex]\begin{gathered} n^2+2n=48 \\ n^2+2n-48=0 \\ n_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-48\right)}}{2\cdot \:1} \\ n_{1,\:2}=\frac{-2\pm \:14}{2\cdot \:1} \\ n_1=\frac{-2+14}{2\cdot \:1},\:n_2=\frac{-2-14}{2\cdot \:1} \\ n=6,\:n=-8 \end{gathered}[/tex]

We can only use the positive number for this problem, therefore n = 6

From the above, the set of numbers is 6 and 6+2=8, since 6*8=48.

Answer: the greatest integer is 8

I got the last question right that was similar so I’m unsure what I’m doing wrong for this one

Answers

[tex]6x+y=34[/tex]

Solve x:

[tex][/tex]

the day of the lowest show the most ever in a single day by random sample of 13 students calculate the 38th and the 60th percentile of data

Answers

We have that the sample consist in n=13 students. The percentile formula is given by

[tex]P_x=\frac{x}{100}\times n\text{ position}[/tex]

where x denotes the percentaje. In the first case, p=38, then, we have

[tex]\begin{gathered} P_{38}=\frac{38}{100}\times13\text{ position} \\ P_{38}=4.94\text{ position} \end{gathered}[/tex]

then, we get

[tex]P_{38}=41[/tex]

that is, P_38 corresponds to 41 miles driven.

In the second case, by substituting x=60 in our formula, we get

[tex]\begin{gathered} P_{60}=\frac{60}{100}\times13\text{ position} \\ P_{60}=7.8\text{ position} \end{gathered}[/tex]

which gives

[tex]P_{60}=56[/tex]

that is, P_60 corresponds to 56 miles driven.

Then, the answers are:

[tex]P_{38}=41[/tex]

This means that approximately 38% of the data lie below 41, when the data are ranked.

[tex]P_{60}=56[/tex]

This means that approximately 60% of the data lie below 56, when the data are ranked.

if Em=11, Am=16,CF=27, What are the lengths of the following sides

Answers

We will have the following:

First, we calculate AE as follows:

[tex]AE=\sqrt[]{AM^2-EM^2}[/tex]

Now, we replace values and solve it:

[tex]AE=\sqrt[]{16^2-11^2}\Rightarrow AE=3\sqrt[]{15}[/tex]

From theorem AE = EC therefore EC = esqrt(15); so, the following is true:

[tex]AC=AE+EC\Rightarrow AC=2AE\Rightarrow AC=2(3\sqrt[]{15})\Rightarrow AC=6\sqrt[]{15}[/tex]

Knowing this, we then determine FA as follows:

[tex]FA=\sqrt[]{AC^2-CF^2}[/tex]

We then determine BE, DM & CM as follows:

Multiply the expressions.
-0.6y(4.5 - 2.8y) =
answer 1
-2.86
-2.7
1.68
3.9
--------- y² +
answer 2
-2.86
-2.7
1.68
3.9​

Answers

Answer:

1.68y²+ 2.7y is the answer

hope it helps

Ride 'em Rodeo is a traveling rodeo show. Last night, there were 5 people wearing
boots at the rodeo for every 2 people who were not wearing boots.
If there were 125 people wearing boots at the rodeo last night, how many people were
there altogether?

Answers

The total number of people that were there altogether at the radio show is 175 people.

How to calculate the value?

From the information, there were 5 people wearing boots at the rodeo for every 2 people who were not wearing boots.

It was also illustrated that there were 125 people wearing boots at the rodeo last night, those that aren't wearing boots will be illustrated by x.

2/5 = x/125

Collect like terms

5x = 125 × 2

5x = 250

Divide

x = 250/5

x = 50

Those not wearing boots = 50

Total number of people will be:

= Those wearing boots + Those not wearing

= 125 + 50

= 175

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Answer:

175

Step-by-step explanation:

Find LM if LN = 137mm.

Answers

[tex]\begin{gathered} \text{M is the mid point of LN, so } \\ LM=\frac{LN}{2}=\frac{137}{2}=68.5\text{ mm} \end{gathered}[/tex]

Juliet has a choice between receiving a monthly salary of $1750 from a company or a base salary of $1600 and a 3% commission on the amount of furniture she sells during the month. For what amount of sales will the two choice be equal?The two salary choices will be equal when the amount of sales is [$ ]

Answers

For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

[tex]\frac{3}{100}\times x\text{ = 0.03x}[/tex]

We add this to the base salary and equate to the former monthy salary

We have this as;

[tex]\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}[/tex]

You start at (9,2). you move left 9 units. where do you end

Answers

If you start at (9,2) and then move left 9 units, you'll end up at (0, 2)

Given the function [tex]y=(m^2-1)x^2+2(m-1)x+2[/tex] , find the values of parameter m for which the function is always positive.

Answers

Answer: [tex](-\infty, -1) \cup (1, \infty)[/tex]

Step-by-step explanation:

The function is always positive when it has a positive leading coefficient (since that means the graph will open up), and when the discriminant is negative (meaning the graph will never cross the x-axis).

Condition I. Leading coefficient is positive

[tex]m^2 -1 > 0 \implies m < -1 \text{ or } m > 1[/tex]

Condition II. Discriminant is negative

[tex](2(m-1))^2 -4(m^2 -1)(2) < 0\\\\4(m^2 -2m+1)-8(m^2 -1) < 0\\\\4m^2 -8m+4-8m^2 +8 < 0\\\\-4m^2 -8m+12 < 0\\\\m^2 +2m-3 > 0\\\\(m+3)(m-1) > 0\\\\m < -3 \text{ or } m > 1[/tex]

Taking the intersection of these intervals, we get [tex]m < -1[/tex] or [tex]m > 1[/tex].

f(x) = (x ^ 2 + 2x + 7) ^ 3 then

Answers

Answer

[tex]f^{\prime}(x)=6(x+1)(x^{2}+2x+7)^{2}[/tex][tex]f^{\prime}(1)=1200[/tex]

Explanation

Given

[tex]f\mleft(x\mright)=(x^2+2x+7)^3[/tex]

To find the derivative, we have to apply the chain rule:

[tex][u(x)^n]^{\prime}=n\cdot u(x)^{n-1}\cdot u^{\prime}(x)[/tex]

Considering that in our case,

[tex]u(x)=x^2+2x+7[/tex][tex]u^{\prime}(x)=2x+2+0[/tex]

and n = 3, then:

[tex]=3\cdot(x^2+2x+7)^{3-1}\cdot(2x+2)[/tex]

Simplifying:

[tex]f^{\prime}(x)=3\cdot2(x+1)(x^2+2x+7)^2[/tex][tex]f^{\prime}(x)=6(x+1)(x^2+2x+7)^2[/tex]

Finally, we have to replace 1 in each x in f'(x) to find f'(1):

[tex]f^{\prime}(1)=6((1)+1)((1)^2+2(1)+7)^2[/tex][tex]f^{\prime}(1)=6(1+1)(1+2+7)^2[/tex][tex]f^{\prime}(1)=6(2)(10)^2[/tex][tex]f^{\prime}(1)=6(2)(100)[/tex][tex]f^{\prime}(1)=12(100)[/tex][tex]f^{\prime}(1)=1200[/tex]

What is the volume of this triangle right prism 8 cm 15 cm 12 cm

Answers

The volume of a triangle right prism is given by the formula

John starting playing video games as soon as he got home from school. He played videogames for 45 minutes. Then, it took John 30 minutes to finish his homework. When Johnfinished his homework, it was 4:25 P.M. What time did John get home from school?

Answers

Given:

After coming from school to home,

He played video games for 45 minutes.

Then he took 30 minutes to finish his homework.

When John finished his homework, it was 4:25 PM.

To find:

The time at which John got home from school

Explanation:

According to the problem,

Total time to play video games and do homework is,

[tex]\begin{gathered} 45mins+30mins=75mins \\ =1hr15mins \end{gathered}[/tex]

So, the time he got home from school will be,

[tex]4:25P.M.-1hr15mins=3:10P.M.[/tex]

Final answer:

The time he got home from school is 3:10 P.M.

A golf course charges you $54 for a round of golf using a set of their clubs, and $42 if you have your own clubs. You decide to buy a set of clubs for $280 and your friend wants to just use the course's clubs.a. Write an equation to describe the cost for x number of rounds for you.b. write an equation to describe the cost for x number of rounds for your friend.c. How many rounds must you play to recover the cost of the clubs? (Find the break-even point).

Answers

Answer

You must play 24 rounds to recover the cost of the club

Step-by-step explanation:

The amount golf charged for using their set clubs = $54

They charged $42 for using personal course

let x be the number of rounds played

let y be the total cost of the clubs

Since you will be buying a set of clubs worth $280

Then, the first equation is

a. y = 280 + 42x

b. y = 54x

c . Calculate the number of rounds that must be played to recover the cost of the clubs

To calculate this, we need to equate equations a and b together

280 + 42x = 54x

Collect the like terms

280 = 54x - 42x

280 = 12x

Isolate x by dividing through by 12

280/12 = 12x/12

x = 23.3333

Hence, you must play 24 rounds to recover the cost of the club

I'll send a pic of the problem

Answers

Weare given a graph that relates the number of strawberries to the number of containers in pairs (x, y)

being x the number of containers, and y the number of strawberries.

The points of the graph read:

(3. 57)

(5, 95)

(7, 133)

(9, 171)

and we are asked to find the proportionality between those values.

We then calculate the slope that joins the points, using for example the first two pairs:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (95 - 57) / (5 - 3) = 38 / 2 = 19

we check this same type of calculation with another pair of points to see if it holds true as well:

slope = (171 - 133) / (9 - 7) = 38 / 2 = 19

So we can answer that the proportionality is 19 strawberries per container.

Express M in terms of B and n: B = 3Mn 2

Answers

We are given the expression B=3Mn/2 and told to express M in terms of B and n. This means that we should apply mathematical operations on both sides of the equation so we "isolate " M on one side of the equality sign. We begin with the given equation

[tex]B=\frac{3\cdot M\cdot n}{2}[/tex]

First, we multiply both sides by 2, so we get

[tex]2\cdot B=3\cdot M\cdot n[/tex]

Next, we divide by 3 on both sides, so we get

[tex]\frac{2\cdot B}{3}=M\cdot n[/tex]

Finally, we divide both sides by n, so we get

[tex]\frac{2\cdot B}{3\cdot n}=M[/tex]

In this case, we have succesfully expressed M in terms of B and n

The dog looked at the cat warily A with interestb viciously c hungrily d with caution

Answers

Answer

Option D is correct.

The dog looked at the cat with caution.

is the same as

The dog looked at the cat warily.

Explanation

The word warily means 'using caution' or 'cautiously'.

Hope this Helps!!!

If you are not knowledgeable in college algebra please let me know so I can move on more quickly. Thanks in advance!

Answers

Given polynomial is

[tex]3x^5-4x^4-5x^3-8x+25[/tex]

We have to check whether the polynomial x-2 is a factor.

If x-2 is a factor then x = 2 is a root of the given polynomial.

Substitute x = 2 in the given polynomial,

[tex]\begin{gathered} 3.2^5-4.2^4-5.2^3-8.2+25=96^{}-64-40-16+25 \\ =121-120=1 \end{gathered}[/tex]

Hence 2 is not a root of given polynomial.

And so x - 2 is not a factor.

A set of pool balls contains 15 balls numbered 1-15.
Without replacement: What is the probability that an odd number ball is picked
out of a box twice without the first one being replaced?
With replacement: What is the probability that an even number ball is picked with
the first ball drawn being inserted back into the box?

Answers

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

the first case I assume means that we need the probability to pick 2 odd-numbered balls in a row, if we do not put the first drawn ball back into the box.

starting condition :

15 basks in total.

1, 3, 5, 7, 9, 11, 13, 15 = 8 odd numbered balls

2, 4, 6, 8, 10, 12, 14 = 7 even numbered balls

the probability for the first ball to be odd numbered :

8/15

now we have

14 remaining balls in total.

7 remaining odd numbered balls.

the probability of the second ball being odd numbered is

7/14 = 1/2

so, the probability of both as one combined event is

8/15 × 1/2 = 4/15 = 0.266666666...

now back to the starting condition.

the probability to pick an even numbered ball is

7/15

we put the ball back in and pull a second time.

the probability to an even numbered ball is

7/15

so, the probability of both as one combined event is

7/15 × 7/15 = 49/225 = 0.217777777...

Find (and classify) the critical points of the following function and determine if they are local max, local min, or neither: f(x) =2x^3 + 3x^2 - 120x

Answers

As given by the question

There are given that the function:

[tex]f(x)=2x^3+3x^2-120x[/tex]

Now,

To find the critical point, differentiate the given function with respect to x and put the result of function equal to zero

So,

[tex]\begin{gathered} f(x)=2x^3+3x^2-120x \\ f^{\prime}(x)=6x^2+6x-120 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} f^{\prime}(x)=0 \\ 6x^2+6x-120=0 \\ x^2+x-20=0 \\ x^2+5x-4x-20=0 \\ x(x+5)-4(x+5) \\ (x-4)(x+5) \\ x=4,\text{ -5} \end{gathered}[/tex]

Now,

To find the y-coordinate, we need to substitute the above value, x = 4, -5, into the function f(x)

So,

First put x = 4 into the given function:

[tex]\begin{gathered} f(x)=2x^3+3x^2-120x \\ f(4)=2(4)^3+3(4)^2-120(4) \\ =128+48-480 \\ =-304 \end{gathered}[/tex]

And,

Put x = -5 into the function f(x):

[tex]\begin{gathered} f(x)=2x^3+3x^2-120x \\ f(-5)=2(-5)^3+3(-5)^2-120(-5) \\ =-250+75+600 \\ =425 \end{gathered}[/tex]

Hence, the critical point is, (4, -304) and (-5, 425).

Now,

To find the local maxima and local minima, we need to find the second derivative of the given function:;

So,

[tex]\begin{gathered} f^{\prime}(x)=6x^2+6x-120 \\ f^{\doubleprime}(x)=12x+6 \end{gathered}[/tex]

Now,

The put the value from critical point into the above function to check whether it is maxima or minima.

So,

First put x = 4 into above function:

[tex]\begin{gathered} f^{\doubleprime}(x)=12x+6 \\ f^{\doubleprime}(4)=12(4)+6 \\ f^{\doubleprime}(4)=48+6 \\ f^{\doubleprime}(4)=54 \\ f^{\doubleprime}(4)>0 \end{gathered}[/tex]

And,

Put x = -5 into the above function

[tex]\begin{gathered} f^{\doubleprime}(x)=12x+6 \\ f^{\doubleprime}(-5)=12(-5)+6 \\ f^{\doubleprime}(-5)=-60+6 \\ f^{\doubleprime}(-5)=-54 \\ f^{\doubleprime}(-5)<0 \end{gathered}[/tex]

Then,

According to the concept, if f''(x)>0 then it is local minima function and if f''(x)<0, then it is local maxima function

Hence, the given function is local maxima at (-5, 425) and the value is -54 and the given function is local minima at point (4, -304) and the value is 54.

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Which two factions disagreed on the french revolutions path? the liberals and the conservatives the liberals and jacobins jacobins and the conservatives jacobins and the third estate. Steps Jeanne has a coupon for $1.95 off a jug of name-brand laundry detergent that normally costs $14.99. The store-brand laundry detergent costs $11.53. How much will Jeanne save if she buys the store-brand detergent instead of using her coupon and buying the name-brand? How does the blizzard in "Zlateh the Goat" move the plot forward? how many lines of symmetry does the word checkbook have? 2200 J of work was done in 10 s. What is the amount of power? every year, americans gather on july fourth to celebrate independence day in honor of july 4, 1776, when the original american colonies declared independence from england. what particular component of ethnicity is embodied in this celebration? need help with a question Canadas national government is made up of an executive, legislative, & judicial branch which governs the whole nation. However, the provinces & territories have their own governments which take care of issues that do not belong to the national government. What type of government is being described? A. autocraticB. federalC. unitaryD. Confederal Which scenario best illustrates the principle of popular sovereignty?Which idea comes from the Enlightenment and is reflected in the Constitution? What is the slope of the line through (-1,2) and (-3,-2)? 5 4 3 (-1,2) 1 2 3 4 1 -2 ((-3,-2) O A. 2 O B. O C. - O D.-2 in the long-run we can expect the population mean or proportion/percentage to occur. explain what is mean by the phrase in the long run? hint: imagine if we repeatedly took samples from the population. what would the average of the sample means be equal to? convert the equation of a parabola to vertex formy^2+4x-14y+57=0 A large western state consists of 3593 million acres of land. Approximately 14% of this land is federally owned. Find the number of acres that are not federally owned. Got another one for yall what is 503472 rounded to the nearest thousend what is the limiting and excess reactant if 15.0g of FePo4 reacts with 5.0g of Na2SO Since the passage is a biographical (not autobiographical), the reader is able to--A. follow an interesting fictional storyline.B.be persuaded to take action against racial injustice.C. see Harriet Tubman's achievements in a mostly objective way.D. relate to Harriet Tubman's personal descriptions of trial and triumph. Write a short story using these 5 words: engross, apathy, impending, deft, consciousplease and thank you If 1495 J of heat is needed to raise the temperature of a 315 g sample of a metal from 55.0C to 66.0C, what is the specific heat capacity of the metal? Solve the inequality and graph the solution on the line provided.3x+17 _