Write a function rule for the table.

Days

1
2
3
4

Cost to Rent a Truck

29
47
65
83

Answer:

  A. single triangle. C = 8.74°, A = 1.26°, a = 1.01

Step-by-step explanation:

When two sides and an angle are given, the possibility of two (or zero) triangles exists only when the given angle is opposite the shorter of the two given sides. That is not the case here, so the given measures define one unique triangle.

The law of sines tells us the sides and angles have the relation ...

  sin(A)/a = sin(B)/b = sin(C)/c

We can use this first to find angle C:

  sin(C) = c/b·sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(7/8·sin(170°)) ≈ 8.7394°

  ∠C ≈ 8.74°

Now that we know two angles, we can find the third:

  A = 180° -B -C = 180° -170° -8.74° = 1.26°

  ∠A = 1.26°

Using the law of sines again, we can find the measure of side 'a'.

  a = b·sin(A)/sin(B) = 8·sin(1.26°)/sin(170°) ≈ 1.01346

The measure of segment 'a' is about 1.01 units.

__

Additional comment

If 'a', 'b', and angle A are given, there will be zero triangles if b/a·sin(A) > 1. If b/a·sin(A) < 1 and b > a, there will be two (2) triangles. Otherwise, as here, there will be one unique triangle.

Answer:

6587

Step-by-step explanation:

Formula is

A= P(1+r/n)^nt

A = 11303.34

r = .09

n = 365 compounded daily

t = 6 years

solve for P

The factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].

The given expression is [tex]30a^{6} -24a^{2}[/tex].

We need to factorise the given expression.

Each of these numbers and expressions is referred to as a factor of algebraic expressions if it is possible to express algebraic expressions as the product of numbers, algebraic variables, or algebraic expressions.

Now, [tex]30a^{6} -24a^{2}=6a^{2} (5a^{4}-4 )[/tex]

Therefore, the factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].

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The absolute value of the complex number is √2. The graph is plotted and attached.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The given complex number as;

2−i

The absolute value is found as;

[tex]\rm R = \sqrt{1^2 +(-1)^2 } \\\\ R = \sqrt 2[/tex]

The graph for the complex number is attached.

Hence the absolute value of the complex number is √2.

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The standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have an equation that represents the circle:

4x² + 8x + 4y² + 32y +52 = 0

Divide by 4 on both the sides:

x² + 2x + y² + 8y + 13 = 0

x² + 2x + 1 - 1 + y² + 8y + 4² - 4² + 13 = 0

x² + 2x + 1 + y² + 8y + 4² - 1 - 16 + 13

(x + 1)² + (y + 4)² = 4

(x + 1)² + (y + 4)² = 2²

Thus, the standard form of the circle equation 4x² + 8x + 4y² + 32y +52 = 0 is (x + 1)² + (y + 4)² = 2²

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Answer:

The given question is incomplete. The graphs for the question are attached below.

Total savings on other costs expected in the following month is 13,950.

Total other costs targeted for next month for the five locations:

Washington Place = 14,850

Lincoln Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

Step-by-step explanation:

According to the graphs, there are two parts to this question

1. In the following month, 10% savings on other costs are expected.

The graph is attached below for reference

10% savings on other costs are expected in the following month:

=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)

=> 15,500 * [tex](1-\frac{10}{100})[/tex]

=> 15,500 * [tex]\frac{90}{100}[/tex]

=> 13,950

Total savings on other costs expected in the following month is 13,950

2. Total other costs target for next month for the five locations are:

Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850

Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900

Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 =           => 18,000

The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500

CWG Tenton = 0 * 0.9 = 0

Total other costs target for next month for the five locations:

Washington Place = 14,850

Lincoin Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

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find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds

96 + 36 = 132 pounds total

Answer:

A. b+2(b+2b)

b + 2b + 4b = 7b

B. 3b + b = 4b

C. 2(2b) = 4b

None of them are equal to 9b

Answer:

[tex]\fbox {None}[/tex]

Step-by-step explanation:

A

B

C

Answer:

he subtracted the wrong coordinates to find the horizontal leg

Step-by-step explanation:

It should be 4-(-3) but he labeled 4-(-1)

Answer: Translate the graph of y=|x| 6 units to the right.

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

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Answer:

339.47

Step-by-step explanation:

100 - 24 = 76

258 = 76 percent

3.39473684211 = 1 percent

339.47 = 100 percent

Answer:

The decrease in price is $61.92

The sale price is $196.08

Step-by-step explanation:

24% × 258 = 61.92

258 decrease 24% =

258 × (1 - 24%) = 258 × (1 - 0.24) = 196.08

The conversion ratio that can be illustrated will be converting 2030m to kilometers.

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

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Answer:

3x^{2} -16x-19

Step-by-step explanation:

If we are going to be simplying this problem, then we need to take it step by step.

Start off by using the distributive property, and then combining like terms. Keep in mind the square, and make sure that gets sorted out correctly.

Answer:

(3x - 19) • (x + 1)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((3•((x-5)2))+14•(x-5))-24

STEP

2

:

Equation at the end of step 2

(3 • (x - 5)2 + 14 • (x - 5)) - 24

STEP

3

:

Trying to factor by splitting the middle term

Factoring 3x2-16x-19

The first term is, 3x2 its coefficient is 3 .

The middle term is, -16x its coefficient is -16 .

The last term, "the constant", is -19

Step-1 : Multiply the coefficient of the first term by the constant 3 • -19 = -57

Step-2 : Find two factors of -57 whose sum equals the coefficient of the middle term, which is -16 .

-57 + 1 = -56

-19 + 3 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -19 and 3

3x2 - 19x + 3x - 19

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (3x-19)

Add up the last 2 terms, pulling out common factors :

1 • (3x-19)

Step-5 : Add up the four terms of step 4 :

(x+1) • (3x-19)

Which is the desired factorization

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

En el enunciado tenemos el precio de una impresora para el consumidor, el cual comprende el dinero invertido por vendedor más la ganancia esperada. Este indicador observa la siguiente fórmula:

C' = C · (1 + r/100)     (1)

Donde:

Si sabemos que C' = $ 285.000 y r = 35 %, entonces el coste asumido por el vendedor es:

285.000 = 1,35 · C'

C' ≈ 211.111,11

Excluyendo el componente de ganancia del coste para el consumidor según (1), la impresora tuvo un coste de $ 211.111,11 para el vendedor.

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I don't know what the word or phrase is, but with the parameters you've given, 100%

Using the Empirical Rule, it is found that standard deviation of the sample proportions is of 0.058.

It states that, for a normally distributed random variable:

0.684 and 0.916 is within 2 standard deviations of the mean(below and above), hence there are 4 standard deviations between these measures, so:

4s = (0.916 - 0.684)

s = (0.916 - 0.684)/4

s = 0.058.

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The mean absolute deviation of the number of books is 1.84

The dot plot of the number of books is in the attached figure.

From the figure, we have:

x      f

1       1

2      2

3      2

4      3

5      1

6     2

7     3

8     1

Start by calculating the mean using:

[tex]\bar x= \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}[/tex]

Evaluate the sum and products

[tex]\bar x= \frac{69}{15}[/tex]

Divide

[tex]\bar x= 4.6[/tex]

The mean absolute deviation is then calculated as:

[tex]|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}[/tex]

So, we have:

[tex]|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}[/tex]

Evaluate the absolute difference

[tex]|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}[/tex]

Evaluate the sum of products

[tex]|\bar x|= \frac{27.6}{15}[/tex]

Divide

[tex]|\bar x|= 1.84[/tex]

Hence, the mean absolute deviation of the number of books is 1.84

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Answer:

x-intercept is (-1,0)

y-intercept is (0,-3)

Step-by-step explanation:

An intercept is where the graph crosses the axis.

Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)

The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.

Answer:

1/4

Step-by-step explanation:

4/8 = 1/2

1/2 x 1/2 = 1/4

The only problem is you may also go bankrupt before you're able to double your bet enough times.

If the game's events are independent,  similar to flipping a coin,  then the probability never changes, it's still a 1 out of 5 chance of winning each time.

The coin has no memory,  so it will always have the same probability on each flip.

If the games' events are like that,  a losing streak doesn't mean a win is now more likely.

But if the events are not independent,  it may make sense to increase the bet.  

for example,  a bag has 10 coins and 2 are worth 100.  You reach in and pull out 5 coins, all worth only a penny each.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Your odds of getting one of the 2 $100 coins is now much greater than the original 1 out of 5 chance.

 You originally had a 2 out of 10 chance on the first draw.  But now it's up to 2 out of the remaining 5 or 40% chance of winning.  

There is another reason someone may wish to double their bet.  If you doubled your bet each time you lost,  you would eventually recoup all your losses.  It can work.

The only problem is you may also go bankrupt before you're able to double your bet enough times.

That risk is usually considered too great to double your bets on independent events.

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Answer:

10

Step-by-step explanation:

Answer:

0.5km or 500m

Step-by-step explanation:

Given Distance = Speed x Time

In this case, we should use the difference in speed and time of the 2 scenarios.

Difference in Time = 20 mins(late) + 10 mins(early)

= 30 mins or 0.5 hour

Difference in Speed = 4km/h - 3km/h = 1km/h

Distance = 1km/h x 0.5 hr = 0.5km or 500m.

Answer:

15%

Step-by-step explanation:

3/20x100=15

Answer:

p= 80

Step-by-step explanation:

p+8 =  8 x 11

p+8 = 88

p= 88-8

p= 80

To prove that △DFE ~ △GFH by SAS similarity theorem, then option C. ∠DFE is congruent to ∠GFH is appropriate. So that: [tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]  and ∠DFE is congruent to ∠GFH.The correct answer is option C.

The image of the triangle is attached with the answer below:-

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

Given ΔDEF as shown in the diagram attached to this answer, the following can be observed:

By comparing ΔDEF and ΔGFH

DF = DG + GF

    = 12 + 4

DF = 16

Also,

EF = EH + HF

   = 9 + 3

EF = 12

Comparing the sides of ΔDEF and ΔGFH, we have;

[tex]\dfrac{DF}{GF}[/tex] = [tex]\dfrac{EF}{HF}[/tex]  

[tex]\dfrac{16}{4}=\dfrac{12}{3}[/tex]

4 = 4

Thus, the two triangles have similar sides.

Comparing the included angle <DFE and <GFH, then;

∠DFE is congruent to ∠GFH

Therefore, to prove that △DFE ~ △GFH by the SAS similarity theorem;

[tex]\dfrac{DF}{GF}[/tex] =[tex]\dfrac{EF}{HF}[/tex]    and ∠DFE is congruent to ∠GFH.

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Answer:

C

Step-by-step explanation:

Edg

Answer:

[tex]\textbf {B}[/tex]

Step-by-step explanation:

f(x) = 2x²

f [f(x)]

f [2x²] = 2(2x²)²

f[f(x)] = 2(4x⁴)

f[f(x)] = 8x⁴

Answer:   for all values of x

Step-by-step explanation:

[tex](f+g)(x)=|x|+9-6=|x|+3[/tex]

Since the range of y = |x| is [tex]y \geq 0[/tex], adding 3 to this shifts the graph 3 units up, giving us that [tex](f+g)(x) \geq 3[/tex] for all values of x.

The equation for the red graph will be g(x) = x² + 3.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given below.

f(x) = x²

Then the function g(x) will be given as

g(x) = x² + 3

Then the equation for the red graph will be g(x) = x² + 3.

The missing graph is given below.

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