M is the midpoint of point A (5,4) and point B (15,0)

What is the x- coordinate of M

you're answer would be number 3

Answer:

  a. $4307.96

  b. 4.76 years

  c. $0.99

Step-by-step explanation:

These questions can be answered using the relevant formulas for future value of an investment.

For compound interest, the account balance is given by ...

  A = P(1 +r/n)^(nt) . . . . principal P at annual rate r compounded n times per year for t years

$4000 at 2.48% compounded quarterly for 3 years will give an account balance of ...

  A = $4000(1 +0.0248/4)^(4·3) = $4000×1.0062^12 ≈ $4307.96

After 3 years, there will be $4307.96 in the account.

__

After earning $500 in interest, the account balance will be $4500. That means we need to solve for t such that ...

  4500 = 4000(1.0062^(4t))

  log(4500/4000)/(4×log(1.0062)) = t ≈ 4.764

It will take about 4.76 years to earn $500 interest.

__

The future value of an account with continuous compounding is given by ...

  A = Pe^(rt)

  A = $4000e^(0.0248·3) ≈ $4308.95

Then the additional interest is ...

  $4308.95 -4307.96 = $0.99

If the money is compounded continuously, there will be $0.99 more in the account after 3 years.

Answer:

192m

Step-by-step explanation:

6m x 4m x 8m = 192m

Answer:

[tex]y\leq \dfrac12x+3[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-6, 0) and (0, 3)

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-3}{-6-0}=\dfrac12[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac12(x-(-6))[/tex]

[tex]\implies \sf y=\dfrac12x+3[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y\leq \dfrac12x+3[/tex]

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{4-3}{2}=1/2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=1/2x[/tex]

[tex]\\ \tt\Rrightarrow y=1/2x+3[/tex]

Equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 1/2x+3[/tex]

Answer:

x = 8.4

Step-by-step explanation:

For the 51° angle, 5.3 is the adjacent leg.

x is the hypotenuse.

cos 51° = adj/hyp

cos 51° = 5.3/x

x = 5.3/cos 51°

x = 8.4

Let's solve for x

9(2x+1) < 9x - 18

18x+9 < 9x-18

18x-9x < -18-9

9x < -27

x < -27/9

x < -3

Any value smaller than -3 is in the solution set

That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.

We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.

If it doesn't say -4, then that isn't the answer and none of the answer choices work.

Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.

It seems like there might be a typo somewhere so I would double check.

50% of 60 minutes is 30 minutes

0.50 * 60 = 30

10% of 60 minutes is 6 minutes

0.10 * 60 = 6

75% of 60 minutes is 45 minutes

0.75 * 60 = 45

the order is, 65% of 80, 170% of 30, 82% of 50

0.65 * 80 = 52

0.82 * 50 = 41

1.70 * 30 = 51

200,000 * 0.01x = 130,000

130,000/200,000 = 0.65

0.65/0.01 = 65

the plane used 65% of fuel capacity on this flight

Answer:

Step-by-step explanation:

1) 50% of 60 minutes is 30 minutes

2) 10% of 60 minutes is 6 minutes

3) 75% of 60 minutes is 45 minutes

4) 52%

5) 41%

6)51%

FINAL QUESTION:

260,000,000 fuel used

Answer:

(B) (C) (E)

Step-by-step explanation:

Answer:

1.) 78

2.) 162

Step-by-step explanation:

you just multiply the number outside of the parentheses by the one inside them lol

Answer:

-112

Step-by-step explanation:

Simplified:-40 - 72=-112

Answer:

18

Step-by-step explanation:

Answer: Each gallon costs $3.85

Step-by-step explanation:

We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:

$46.20 ÷ 12 = $3.85

Each gallon costs $3.85

Answer:

f[g(x)]

7(x^2)-9

Step-by-step explanation:

(fºg)(x) read: f of g of x. And can be seen written like in this format: f[g(x)]. Which I prefer.

The expression f[g(x)] means that you put the expression g(x) into the x variable for f(x). Comment if you need a better explanation :)

The point (5, 290) denoted that the jaguar has run a distance of 290 feet in 5 seconds.

Jaguar speed is 58 feet per second.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Each point on the graph denotes the speed of the jaguar.

Point (5, 290) denotes that in 5 seconds the jaguar has run 290 feet.

The speed of the jaguar.

= Distance / Time

= 290/5

= 58 feet

Thus,

The speed of the jaguar is 58 feet per second.

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Answer:

A

[tex]\boxed{a=\frac{9}{2}}}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Step-by-step explanation:

By ratio and proportion

Let's solve for "a" first:-

[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]

[tex]8a=36[/tex]

[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]

[tex]\boxed{a=\frac{9}{2}}}[/tex]

Now, Let's solve for "b":-

[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]

[tex]8b=60[/tex]

[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Therefore, your answer is A!!!!

~

Answer:

5894

Step-by-step explanation:

1  mile is 1760

so multiply 1760 by 3.4

Answer:

yes

yes

no

no

yes

Step-by-step explanation:

f(x) = y = x² + 2x = x(x + 2)

the y-intercept (the point with the y value where x = 0) is

y = 0² + 2×0 = 0

yes, the y-intercept is (0, 0).

yes, the graph opens upward, as x² is the most powerful and therefore driving term in the expression. so, it behaves basically like x².

no, the x-intercepts are the points, where y = 0.

and while (0, 0) is correct, but (2, 0) is not.

x = 2 gives us 2² + 2×2 = 4 + 4 = 8 as y value.

the second correct x-intercept would be (-2, 0).

x = -2 gives us (-2)² + 2×-2 = 4 - 4 = 0

no (see last point)

yes, the vertex is (-1, -1).

we get the extreme value (in this case the minimum, as the curve opens upward) by finding the zero of the first derivative :

f'(x) = 2x + 2 = 0

2x = -2

x = -1

y = (-1)² + 2×-1 = 1 - 2 = -1

Answer:  x = 5

Step-by-step explanation:

(3x + 22) and (3x + 128) are supplementary angles, which means that they add up to 180, so we can write our equation.

(3x + 22) + (3x + 128) = 180

   3x + 22 + 3x + 128 = 180

                   6x + 150 = 180

                             6x = 30

                                x = 5

Answer:

c. 48 books, 120 stuffed animals

Step-by-step explanation:

Evelyn

Ratio of books to stuffed animals

12 : 30 = 2 : 5

Checking all options

A. 36 books, 126 stuffed animals

36 : 126

6 : 21

2 : 7

b. 60 books, 84 stuffed animals

60 : 84

10 : 14

5 : 7

c. 48 books, 120 stuffed animals

4 : 10

2 : 5

d. 90 books, 36 stuffed animals

90 : 36

15 : 6

5 : 2

e. 45 books, 18 stuffed animals

45 : 18

5 : 2

The correct answer is option c. 48 books, 120 stuffed animals

Answer:b

Step-by-step explanation:

Answer:  Stephano's marble will reach the mark sooner.

Answer:

a. The equation is s =  [tex]\frac{1}{3}[/tex]  w

b. [tex]1\frac{5}{12}[/tex]  cups of sugar will be needed to follow the recipe

Step-by-step explanation:

The equation of the direct proportional relation is y = k x, where

We can find the value of k by using the initial values of x and y

Let us use this rule to solve the question

∵ In the recipe for 1/2 cup of sugar for every 1 1/2 cups of water

→ That means the number of cups of sugar is in proportion to the

   number of cups of water

∵ s represents the number of cups of sugar

∵ w represents the number of cups of water

∴ s ∝ w ⇒ (∝ a sign of proportion)

∴ s = k w ⇒ k is the constant of proportionality

∵ s = [tex]\frac{1}{2}[/tex] and w = [tex]1\frac{1}{2}=\frac{3}{2}[/tex]

Substitute the values of s and w in the equation above to find k

∵ [tex]\frac{1}{2}[/tex] = k × [tex]\frac{3}{2}[/tex]

→ Multiply both sides by 2 to cancel the denominators

∴ 1 = 3 k

→ Divide both sides by 3 to find k

∴ [tex]\frac{1}{3}[/tex] = k

∴ The equation is s =  [tex]\frac{1}{3}[/tex]  w ⇒ a.

→ We need to find the number of sugar cups for 4 1/4 cups of water

∵ w = [tex]4\frac{1}{4}=\frac{17}{4}[/tex]

∵ s =  [tex]\frac{1}{3}[/tex]  w

→ Substitute w by 5/4

∴ s = [tex]\frac{1}{3}[/tex] × [tex]\frac{17}{4}[/tex]

∴ s = [tex]\frac{17}{12}=1\frac{5}{12}[/tex]

∴  [tex]1\frac{5}{12}[/tex]  cups of sugar will be needed to follow the recipe ⇒ b.

The law of syllogism is similar to the transitive property:

a->b and b->c  => a->c

So

p->q and _____ => p->r

will require the second proposition to be q->r, which completes the syllogism

p-> and q->r => p->r

Answer:

Yes, 9

Step-by-step explanation:

Use order of operations.

Step 1:

(1+2)=3

Step 2: This leaves you with:

6÷2(3)

Step 3: From this point on, we go from left to right:

6÷2=3

3(3)=9

Answer:

m<TQS=23

Step-by-step explanation:

(3x-5)+(x+1)

4x-4=180

   +      +

4x=184

---    ----

4       4

x= 46

46/2

=23

If a ray QT bisects <RQS, then [tex]m<TQS=23.5[/tex] °

Given :

a ray QT bisects <RQS

<PQR and <RQS is a linear pair . It makes and angle 180 degree

[tex]m<PQR+m<RQS=180[/tex]

From the diagram,

m<PQR=3x-5, and m<RQS=x+1

Substitute the expression and solve for x

[tex]m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46[/tex]

now ,  [tex]m<RQS = x+1 =46+1=47[/tex]

Given  QT bisects <RQS. it means QT divides RQS equally

[tex]m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5[/tex]

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Answer:

21

Step-by-step explanation:

30 - 9 +3

30 - 12

18

18 - 12=4

      12/4 = -3

18 - -3

21

the answer is 21

30 - 9 = 21
21 + 3 = 24
12 divided by 4 = 3
24 - 3 = 21


21 is the answer once again

Answer:13/15

Step-by-step explanation:

Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15

Answer:

13/15

Step-by-step explanation:

The answer is 13/15 because:

1) In order to figure out what 7/9 + 2/3 is, we need to find the common denominator. The common denominator is 9 because 3 contains the factor 9.

7/9 + 6/9 = 13/9

We need to multiply the denominator to get to 9: 3 x 3 = 9. We have to multiply the numerator as well: 2 x 3 = 6.

2) Next, we have to divide 13/9 and 5/3. In order to divide we have to find the reciprocal of the second number. Reciprocal means to flip the fraction. The reciprocal of 5/3 is 3/5.

3) Finally, we just have to multiply 13/9 and 3/5 which is 39/45. 39/45 in simplest form is 13/15.

Hope this helps! :D

Answer: 50 right?

Step-by-step explanation:

Answer:

30 plus 20

Step-by-step explanation:

or 15 35

25 25

or 0 59

Answer:

A Monomial

A single term algebraic expression is called:

Constant term

Step-by-step explanation:

A term of an algebraic expression that has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

Example:
The algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.


Have a great rest of your day
#TheWizzer

Single term algebraic expression is called ''Monomial''.

The monomial is a product of powers of variable with non negative integer exponent. It is the algebraic expression with single term.

Given that;

Single term in algebraic expression.

Now,

Since, We know that;

The algebraic expression with single term is called ''Monomial''.

And, The algebraic expression with double term is called ''Binomial''.

Thus, Single term algebraic expression is called ''Monomial''.

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