Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.

Answer:

3

Step-by-step explanation:

Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]

[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]

tan(angle) = opposite/adjacent

tan(37) = x/14

14*tan(37) = x

x = 14*tan(37)

x = 10.5497567

x = 10.5

Answer: 10.5

Answer:

The answer is x= -17/25 y= 19/5

Step-by-step explanation:

The system of equations 5x-2y=-11 and -2+5y=17 has the solution x=-1.4 and y=3.8 after substitution and simplification.

The given system of equations is 5x-2y=-11 and -2+5y=17. To solve this system, we need to isolate the variables. Let's start by cleaning up the second equation to 5y=19, you do that by adding 2 on both sides. This implies y=19/5 or y=3.8. Now, we can substitute y into the first equation: 5x - 2*(3.8) = -11. Solve this for x and you get x=-1.4. So the solution to the system of equations is x=-1.4 and y=3.8.

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Answer:

B) -3

Step-by-step explanation:

4 - 2x = 10

Subtract 4 from each side

4-4 - 2x = 10 -4

-2x = 6

Divide by -2

-2x/-2 = 6/-2

x = -3

Answer:

x= -3

Step-by-step explanation:

First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3

Answer:

-4

Step-by-step explanation:

If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4

4(3x+9) = 5x+8

12x + 36 - 5x - 8 =0

7x = -28

x = -4

[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]

[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]

Answer:

D. 1/2(4 + Z)

Step-by-step explanation:

1/2 x 4 + 1/2 x Z

We can factor out a 1/2 since it is in both terms

1/2 (4+z)

[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.

A. F(x) < 0 on the interval x < 0.     TRUE

B. F (x) > 0 on the interval x <0.      FALSE

C. F (x) < 0 on the interval 0 < x < 1.      TRUE

D. F (x) > 0 on the interval 0 < x < 1.      FALSE

E. F (x) < 0 on the interval 1 < x < 3.     FALSE

F. F (x) > 0 on the interval 1 < x < 3.      TRUE

G. F (x) < 0 on the interval x > 3.     TRUE

H. F (x) > 0 on the interval x > 3.      FALSE    

Everyone else will be a congruent to the first one triangle.

Answer:

One

Step-by-step explanation:

You can only make one. This shows that one triangle

[tex]8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}[/tex]

Answer:

1950 watt-hours

Step-by-step explanation:

3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.

0.25 + 3= 3.25 which is the time.

Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.

Answer: 80%

15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.

An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.

To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.

To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.

Number of students on the student council: 15

Total number of students: 75

Number of students NOT on the student council: 75 - 15 = 60

Percentage of students NOT on the student council: (60/75) * 100 = 80%

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Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

If 1cm = 7m

then:

7c = 49m

Answer:

3/5 = .6

Step-by-step explanation:

1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.

.60 in fraction form is 60/100. We can simplify this down to 3/5.

Answer:52 stamps

Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52

Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.

Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:

Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.

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Answer: 150 jumps

Step-by-step explanation:

1 yard is = 3 ft.

100 yards is 300 ft.

300/2 = 150

Answer:150 jumps

Step-by-step explanation: so 1 yard is 3 feet.  100 times 3 is 300.

a grasshopper can jump 2 feet, so we need to divide by 2.

300ft divided by 2 is 150 jumps

Answer:

$56.97

this is the answer:)                                    

Answer: $56.97

=============================================

Explanation:

"25% off" means the buyer pays 75% of the original cost, ignoring any other taxes, fees, shipping, etc.

75% = 75/100 = 0.75

Multiply this decimal value with the original cost 72 and we get 0.75*72 = 54.

-----------

Now we compute the sales tax

5.5% = 5.5/100 = 0.055

0.055*54 = 2.97 is paid in tax

-----------

Add the sales tax ($2.97) to the discount price ($54) to get 54+2.97 = 56.97

We don't add on shipping because that is free. The sales tax is applied after the discount is done, or else it would imply that the 25% discount didn't fully go through (ie you are paying some portion of what was promised to be saved)

A shortcut is to compute: 72*0.75*1.055 = 56.97 which allows us to basically find the answer in one single step. The 1.055 refers to the 5.5% tax multiplier. A similar trick can be used if you have multiple discounts applied simultaneously.

The slope-intercept form:

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

m - slope

b - y-intercept

We have [tex]5x+8y=16[/tex]. Convert:

[tex]5x+8y=16[/tex]          subtract 5x from both sides

[tex]8y=-5x+16[/tex]      divide both sides by 8

[tex]\boxed{-\dfrac{5}{8}x+2}[/tex]

Answer: Her cell phone bill will cost her $61.19

Step-by-step explanation: If it cost 0.18 per min make sure you read the question right

Answer:

Step-by-step explanation:

if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees

Poof:

Draw line a through points A and B. Draw line B through point C and parallel to line a

Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.

it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees

Thus <]ABC + <)BCA + <)CAB = 180 degrees

Lemma:

if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.

Step-by-step explanation:

Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°

Construct a straight line DE running parallel to BC and passing though A.

Now let

∠BAC = 1

∠ABC = 2

∠ACB = 3

∠DAB = 4

∠EAC = 5

Therefore we know that

∠DAB = ∠ABC (alternate angles), so 4 = 2

∠EAC = ∠ACB (alternate angles), so 5 = 3

Now line CE is straight line and we know that angle for a straight line 180°.

Thus ∠DAB + ∠BAC + ∠EAC  = 180°

or      ∠ABC + ∠BAC + ∠ACB =  180°

or          ∠A + ∠B + ∠C = 180°

Thus proved.

Answer:

A) 210

Step-by-step explanation:

The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130

P(x) = 70/130

The number of students with cell phone  company x is  found by multiplying the total number of students times   the percentage of students with company x

Students with company x = total * P(x)

                                          = 390 * 70/130

                                             = 210

Answer:

A) 210

Step-by-step explanation:

70 students have company X, out of the sample size 130. This forms the fraction 70/130.

n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390

Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n

Doing all that gives us the following

70/130 = n/390

70*390 = 130*n ..... cross multiply

27300 = 130n

130n = 27300

130n/130 = 27300/130 ...... divide both sides by 130

n = 210

Out of the entire population, the best approximation to the number of students who have company X is 210 people.

Answer:

y=3/2+5

Step-by-step explanation:

Answer:

[tex]\frac{3}{2}x^{2} +5x-21[/tex]

Step-by-step explanation:

put into y=mx+b form

Answer:

21.25 pieces of candy have been eaten.

Step-by-step explanation:

Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.

Answer:

d 5.5

Step-by-step explanation:

Answer:

D: 5.5%

Step-by-step explanation:

Answer:

B) Not Garlicky enough.

Step-by-step explanation:

You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.