what is place is 9 in. 47589



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Answer:

6

Step-by-step explanation:

[tex] log_{2}(16) + log_{2}(4) [/tex]

Remebrr that

[tex] log_{a}(b) + log_{a}(c) = log_{a}(bc) [/tex]

[tex] log_{2}(16) + log_{2}(4) = log_{2}(64) [/tex]

We get

[tex] log_{2}(64) [/tex]

[tex] = 2 {}^{x} = 64[/tex]

[tex]x = 6[/tex]

Answer:

1)2x -y+2=0

2)-x +4y +8 = 0

Step-by-step explanation:

Here two equations are given to us and we need to write them in Standard form . The given equations are linear equation in two variables and their Standard form is ,

[tex]\implies ax + by + c = 0 [/tex]

1) y - 4 = -2(x +3)

Open the brackets on RHS ,

[tex]\implies y - 4 = -2x -6 [/tex]

Transpose all the terms to LHS ,

[tex]\implies 2x - y -4 +6 = 0[/tex]

Add the constant terms ,

[tex]\implies \boxed{ 2x - y +2 =0} [/tex]

Hence the equation in standard form is 2x -y +2=0.

2) y = ¼x -2

Add 2 on both sides ,

[tex]\implies y + 2 = \dfrac{1}{4}x [/tex]

Multiply both sides by 4 ,

[tex]\implies 4y +8 =x [/tex]

Subtract x on both sides,

[tex]\implies \boxed{ -x + 4y + 8 =0}[/tex]

Hence the equation in standard form is -x +4y +8=0 .

The expression on the left side describes a parabola. Factorize it to determine where it crosses the y-axis (i.e. the line x = 0) :

-3y² + 9y - 6 = -3 (y² - 3y + 2)

… = -3 (y - 1) (y - 2) = 0

⇒   y = 1   or   y = 2

Also, complete the square to determine the vertex of the parabola:

-3y² + 9y - 6 = -3 (y² - 3y) - 6

… = -3 (y² - 3y + 9/4 - 9/4) - 6

… = -3 (y² - 2•3/2 y + (3/2)²) + 27/4 - 6

… = -3 (y - 3/2)² + 3/4

⇒   vertex at (x, y) = (3/4, 3/2)

I've attached a sketch of the curve along with one of the shells that make up the solid. For some value of x in the interval 0 ≤ x ≤ 3/4, each cylindrical shell has

radius = x

height = y⁺ - y⁻

where y⁺ refers to the half of the parabola above the line y = 3/2, and y⁻ is the lower half. These halves are functions of x that we obtain from its equation by solving for y :

x = -3y² + 9y - 6

x = -3 (y - 3/2)² + 3/4

x - 3/4 = -3 (y - 3/2)²

-x/3 + 1/4 = (y -  3/2)²

± √(1/4 - x/3) = y - 3/2

y = 3/2 ± √(1/4 - x/3)

y⁺ and y⁻ are the solutions with the positive and negative square roots, respectively, so each shell has height

(3/2 + √(1/4 - x/3)) - (3/2 - √(1/4 - x/3)) = 2 √(1/4 - x/3)

Now set up the integral and compute the volume.

[tex]\displaystyle 2\pi \int_{x=0}^{x=3/4} 2x \sqrt{\frac14 - \frac x3} \, dx[/tex]

Substitute u = 1/4 - x/3, so x = 3/4 - 3u and dx = -3 du.

[tex]\displaystyle 2\pi \int_{u=1/4-0/3}^{u=1/4-(3/4)/3} 2\left(\frac34 - 3u\right) \sqrt{u} \left(-3 \, du\right)[/tex]

[tex]\displaystyle -12\pi \int_{u=1/4}^{u=0} \left(\frac34 - 3u\right) \sqrt{u} \, du[/tex]

[tex]\displaystyle 12\pi \int_{u=0}^{u=1/4} \left(\frac34 u^{1/2} - 3u^{3/2}\right)  \, du[/tex]

[tex]\displaystyle 12\pi \left(\frac34\cdot\frac23 u^{3/2} - 3\cdot\frac25u^{5/2}\right)  \bigg|_{u=0}^{u=1/4}[/tex]

[tex]\displaystyle 12\pi \left(\frac12 u^{3/2} - \frac65u^{5/2}\right)  \bigg|_{u=0}^{u=1/4}[/tex]

[tex]\displaystyle 12\pi \left(\frac12 \left(\frac14\right)^{3/2} - \frac65\left(\frac14\right)^{5/2}\right) - 12\pi (0 - 0)[/tex]

[tex]\displaystyle 12\pi \left(\frac1{16} - \frac3{80}\right) = \frac{12\pi}{40} = \boxed{\frac{3\pi}{10}}[/tex]

Answer:

  1.8 mL

Step-by-step explanation:

The amount you need will be the dose divided by the concentration.

  (0.7 g)/(0.400 g/mL) = 7/4 mL = 1.75 mL ≈ 1.8 mL

The dosage will be about 1.8 mL.

Answer:

-2(x + 3) = -10

x=2

x + 4 = 2x + 9

x=-5

5x – 17 = 2(1 - 7x)

x=1

Step-by-step explanation:

Answer:

-11 will be the answer.

Step-by-step explanation:

the pattern 7,11,2,18,-7,? is a repeating pattern but at the end the number is changed to -7 so if you go and check the Identity, if the order of number given is ascending ( smaller to larger number) or descending ( larger to smaller number), Calculate the differences between those that are next to each other. Estimate the difference between numbers to calculate the missing number.

A sequence is a list of things in which repeats are permitted and order is important. The last term of the missing pattern is 57.

A sequence is a list of things in which repeats are permitted and order is important. It has members, just like a set. The length of the sequence is defined by the number of items.

In the given sequence, the difference between the first two-term is 4, while in the next two-term is 16(4²), Therefore, in the next two-term, the difference between the two terms will be equal to 64(4³).

Therefore, the last term will be,

[tex]x-(-7)=64\\\\x+7=64\\\\x=64-7\\\\x=57[/tex]

Hence, the last term of the missing pattern is 57.

Learn more about Sequence:

https://brainly.com/question/21961097

Answer:

the answer is D

Step-by-step explanation:

Answer:

The correct answer is D.

Answer: Proportional!

Step-by-step explanation:

1.8/7.2=0.25

0.4/1.6=0.25

0.25=0.25

Answer:

Step-by-step explanation:

Total number of packs:

Find the percentage of packs with min gum:

x+y=70. (30x+80y)/(100x+100y)=50/100

Answer: 2

Step-by-step explanation: 2x1.5=3

Answer:

this triangle seems to be an isosceles, obtuse triangle

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, 7.78 ounces cost $2.49.

7.8125 ounces

Step-by-step explanation:

Based on given conditions,

[tex] \frac{2.49 \times 12}{3.84} \\ = > \frac{ \frac{249}{100} \times 12 }{ \frac{384}{100} } [/tex]

[tex] = > \frac{ \frac{249}{25} \times 3 }{ \frac{96}{25} }[/tex]

[tex] = > \frac{249}{25} \times 3 \times \frac{25}{96}[/tex]

[tex] = > 83 \times 3 \times \frac{1}{32} [/tex]

[tex] = > \frac{83 \times 3}{32} [/tex]

[tex] = > \frac{249}{32}[/tex]

[tex] = > 7.78125ounces[/tex]

By rounding off,

[tex] = > 7.9ounces[/tex]

Answer:

The answer is 5, 9 and (-1) when x = 2, 0 and 5 respectively

Step-by-step explanation:

Now,

h(x) = -2x + 9

For x = 2

h(2) = -2(2) + 9

h(2) = -4 + 9

h(2) = 5

For x = 0

h(0) = -2(0) + 9

h(0) = 0 + 9

h(0) = 9

For x = 5

h(5) = -2(5) + 9

h(5) = -10 + 9

h(5) = -1

Thus, The answer is 5, 9 and (-1) when x = 2, 0 and 5 respectively

-TheUnknownScientist 72

Answer:

D

Step-by-step explanation:

Hello!

Prepositions are words that describe a noun's directional location, time, place, et cetera.

For example, the sentence:

Angela misplaced her toy under the bed: under is the preposition since it describes where the toy is at. All of these answer choices are prepositions

Answer:

9/8ft^3

Step-by-step explanation:

The volume of the box can be found as

V=hwl

where h is height, l is length and w is width of the box

From the picture we have that:

l=6*1/4=6/4=3/2

w=3*1/4=3/4

h=4*1/4=1

Now we can caluclate volume as

V=3/2*3/4*1=9/8ft^3

Answer:

c. x = 8

Step-by-step explanation:

.65 * 120 = 6.5 * 12 = 65 * 1.2 = 65 + 13 = 78 students ate pizza

double check

78 / 120 = 0.65

please give brainliest

Answer:

X is the midpoint of the line wxy

The length of XY is 17 units.

Used the concept;

A mid-point of a line segment;

Since, X is the mid-point of WY

Hence, WX = XY

And, WX =  WY and XY =  WY

Here, we have;

WX = 3x - 1

WY = 10x - 26

So, By using the rule WX =  WY

3x - 1 =  (10x - 26)

Simplify the right-hand side

3x - 1 = 5x - 13

Add 1 to both sides

3x = 5x - 12

Subtract 5x from both sides

- 2x = -12

Divide both sides by -2

x = 6

Since, XY = WX

And, WX = 3x - 1

So, XY = 3x - 1

Substitute the value of x in the expression of XY

XY = 3(6) - 1

XY = 18 - 1

XY = 17 units

So, The length of XY is 17 units

To learn more about the line segment visit:

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The correct and complete question is,

If X is the midpoint of WY, WX = 3x - 1 and WY = 10x – 26, find XY.

if both of them continue to jog at same rate of days, they will end up jogging again on FRIDAY

Answer:

64

Step-by-step explanation:

It’s directly adjacent to the other angle.

Answer:

77°

Step-by-step explanation:

basically, this trigonometry problem deals with having a right triangle and knowing the value of the adjacent side and the hypotenuse

so you need to find cos⁻¹(2/9) which equals 77 degrees

Answer:

18

Step-by-step explanation:

x = 3

2(3) + 12

6 + 12

18

Answer:

  (x, y) = (5, 3)

Step-by-step explanation:

We don't know what your matrix tool looks like. Here's a solution using a tool on the web. The correct ordered pair is ...

  (x, y) = (5, 3)

_____

An augmented matrix for these equations is ...

  [tex]\left[\begin{array}{cc|c}7&2&41\\8&8&64\end{array}\right][/tex]

Answer:

1800 dollars

Step-by-step explanation:

We can set up an equation here to represent the exponential growth in Terry's bank account.

[tex]y = 1600(1.04)^x[/tex]

We can plug in 3 for x since x is the # of years the account is receiving compound interest on.

[tex]y = 1600(1.04)^3[/tex]

[tex]1.04^3 = 1.124864\\1.124864*1600= 1800[/tex]

Answer:

697.5 ft

Step-by-step explanation:

by the concept of equal alternate angels across a traversal, the angle near the car will be 36°

tan 36° = x/90

x= tan 36 * 90 = 697.5 ft

Answer:

y= -1/6x

Step-by-step explanation:

Slope Intercept Formula

y=mx+b

-2= -1/6(12) +b

-2= -2+b

b= 0

y= -1/6x

Answer:

vertex

Step-by-step explanation:

The rays that form an angle intersect at the vertex of the angle.

Answer:

1.875 hours

Step-by-step explanation:

easier way

2 miles in 3/4 hours

so

2 miles / .75 hours = 5 miles / x hours

solve for x

(5*.75)/2 = x

x=1.875

or

harder way

you could turn hours into minutes

2 miles in 45 mins

so

2 miles / 45 mins = 5 miles / x mins

solve for x

(5*45)/2 = x

x= 112.5 mins

but they want answer in hours so turn mins into hours by diving by 60

112.5/60 = 1.875 hours

Answer:

18km/sec

Step-by-step explanation:

1 sec = 3×105 km

3600 sec = 1 hr = ?

3*105×3600 km is travelled in 1 hr

5.6×1013 km - ?

5.6×1013÷(3*105*3600)