Find the least integer greater than each number. Do not use a calculator.
log₃38

Answer: I think it's 9: 48

Step-by-step explanation: hope this helps!

Answer:

8:45

because the small hand (hour hand) is a little passed 8

and the long hand (minute had) is at 45 minutes

Step-by-step explanation:

Answer:

x = 22 1/3

Step-by-step explanation:

5x - 17 = 2x + 50

~Add 17 to both sides

5x = 2x + 67

~Subtract 2x to both sides

3x = 67

~Divide 3 to both sides

x = 22 1/3

Best of Luck!

The  values of for which the rocket's height is 29 meters are 0.75 and -0.67.

Velocity can be described as a vector quantity having both direction and magnitude which is the distance traveled per time.

We were given the  rocket's height h  as [tex]h=57t-5t^2[/tex] which is an equation, and we were been given the height which is the value that can be input into the equation as  is 29 meters , then we can proceed to simplify the equation as

[tex]h=57t-5t^2[/tex]

29=57t-5t^2

then we will have  [tex]57t-5t^2-29=0[/tex]

with the use of quadratic formula the values of t are : 0.75 and -0.67

Then we can chose 0.75 seconds

Therefore, after the calculation with the use of the quadratic equation, we can come into conclusion that the values that are required in the question are 0.75 and -0.67.

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NOTE: This is a complete question, there were no given options, even on the internet.

Answer:

5x + 7

Step-by-step explanation:

8x + 8 + 2x + 7 = 10x + 15

15x + 22 - (10x + 15) = 5x + 7

There will be more than a percentage of 33 % of households that have an interfaith marriage from 2017 onwards.

In this problem we find a linear equation that models the percentage of households with an interfaith marriage in time. The expression indicates that the percentage increases uniformly in time. Herein we must look up for the year, from which the percentage is at least 33 % greater. Then:

I = (1 / 4) · x + 23

(1 + 33 / 100) · 23 = (1 / 4) · x + 23

30.59 = (1 / 4) · x + 23

(1 / 4) · x = 7.59

x = 30.36

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Answer:

1 3/10

Step-by-step explanation:

WAIT I THINK X = 3±i√31/4

Answer:

2x*-3x-5

* = squared

Step-by-step explanation:

step 1: distribute “x” to “2x+1”

-you now have the equation: 2x*+1x-4x-5

step 2: combine like terms (combine “1x” and “-4x”. that gets you “-3x”.)

-you now have the equation: 2x*-3x-5

step 3: you have no more like terms, your equation is solved.

final equation: 2x*-3x-5

The value of x = -4

The given linear function is f(x) = -4x+8

We have to find the x corresponding to f(x) = 24

For our convenience, let f(x) = y

Then y = -4x + 8

This equation implies y in terms of x.

Isolating x to one side of the equation, we get,

x = (y - 8)/-4 = (8-y)/4

This equation gives x in terms of y.

So when f(x) = y = 24,

x = (8-24)/4

⇒ x = -4

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The value of given expression for x=0 is 0, x=-2 is -20 and x=2 is 20.

Given the expression is (10x)⁺¹.

Firstly, we will simplify the given expression (10x)⁺¹ for x=0.

Substitute the value x=0 in given expression, we get

(10x)⁺¹=(10×0)⁺¹

As we know that something multiply to zero is 0.

So, we get

(10x)⁺¹=0

Now, we will simplify the given expression (10x)⁺¹ for x=-2.

Substitute the value x=2 in given expression, we get

(10x)⁺¹=(10×2)⁺¹

Now, we will know that if we multiply any number with 2 we get twice of it, we get

(10x)⁺¹=(20)⁺¹

(10x)⁺¹=20

Furthermore, we will simplify the given expression for x=-2.

Substitute the value x=-2 in given expression, we get

(10x)⁺¹=(10×(-2))⁺¹

Now, we will know that if we multiply any number with 2 we get twice of it, we get

(10x)⁺¹=(-20)⁺¹

(10x)⁺¹=-20

Hence, the value of expression (10x)⁺¹  for x=0, 2 and -2 is 0, 20 and -20.

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The area of each card is 80.05cm^2, and the edge of each card is 8.95cm.

Priti chose a green coloured square paper of 20.5cm, since its a square the length and breadth of the card are equal

l = b

Recall the area of a square is

A = l^2

A = (20.5)^2

A= 20.5 × 20.5

A= 400.25cm^2

Since the paper is to be used for 5 cards, therefore the is divided in 5 equal cards. The are area of each card will be

A = A/5

A = 400.25/5

A = 80.05cm^2

The edge of each card is the side of the each card which can either be the length or the breadth since all the sides are equal for a square.

Recall that

A = l^2

Since the Area of each card is 80.05cm^2. Therefore,

80.05 = l^2

Finding the square root of both sides

(80.05)^1/2 = (l^2)^1/2

l = 8.947cm

Approximate l to 2 decimal place

l = 8.95cm

Therefore, the edge of each card is 8.95cm

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The function y = 100 ( 0.25 ) ˣ is an exponential decay function.

An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.

We are given a function:

y = 100 ( 0.25 ) ˣ

We need to tell whether is is a exponential growth or decay function.

We can see that the value of a ˣ = (0.25) ˣ

So, the value of a = 0.25.

Since, it is a decimal and not an integer, its value will decrease with the increase in exponent x.

So, it will be a exponential decay function.

Therefore, we get that, the function y = 100 ( 0.25 ) ˣ is an exponential decay function.

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Answer: No

Step-by-step explanation:

It is already in its simplest form, but the decimal for it would be 0.53.

Answer: 8/15 can`t be simplified

Step-by-step explanation:

[tex]\displaystyle\\\frac{8}{15} =\\\\\frac{2*4}{3*5} \\\\Hence,\\\\ 8/15\ can`t\ be\ simplified[/tex]

The expression can be simplified through division of the exponential (power).

In the given expression, if the powers have the same base, we can actually divide the power.  In order to carry out the division of the exponential (power), we can subtract their exponential.

In the general form, a-m=1/am

As there are two different base terms x and y in the numerator and denominator, we will subtract the powers of x terms and powers of y terms.

Let us simplify the x terms,

x¹/₂÷x³/₄=x(1/2)-(3/4)  

Solving the powers,(½)–(¾)=(2/4)–(¾)=(2-3)/4=-1/4

x¹/₂÷ x³/₄=x(1/2)-(3/4)= x-1/4  

Let us simplify the y terms,

y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)

Solving the powers, (-1/3)-(1/2)=(-2/6)-(3/6)=-5/6

y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)=y-5/6

Putting the terms together gives us,

x-1/4 *y-5/6

It can be expressed as a fraction as a-m=1/am

x-1/4 *y-5/6=1/x1/4y5/6

Hence, x¹/₂ y⁻¹/₃ / x³/₄ y¹/₂= x-1/4 *y-5/6=1/x1/4y5/6

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Answer:

There are 3/16 groups of 2

Step-by-step explanation:

3/8 / 2 = 3/16

Answer:

13/28 kg

Step-by-step explanation:

Convert to 28 in the denominator.

[tex]\frac17 \cdot (3+\frac14) = \frac37+ \frac{1}{28} = \frac{3\cdot4}{7\cdot4}+ \frac{1}{28} = \frac{12}{28}+ \frac{1}{28} = \frac{13}{28}[/tex]

The vertices that would minimize the objective function N = 7x + are (4, 0)

The objective function is given as

N = 7x + 2y

Next, we substitute the values in the options in the objective function

So, we have

A. (4,0)

N = 7(0) + 2(4)

N = 8

B. (6,3)

N = 7 x 6 + 2 x 3

N = 48

C. (3,9)

N = 7 x 3 + 2 x 9

N = 39

D. (0,12)

N = 7 x 0 + 2 x 12

N = 24

The smallest result in the above computations is 8

Hence, the vertices that would minimize the objective function N = 7x + are (4, 0)

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The meaning of the 2 in the expression 3t + 2c is the weight of each car

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

3t + 2c

From the question we have the following parameters:

This means that the weight of each car is 2

Hence, the meaning of the 2 in the expression 3t + 2c is the weight of each car

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Answer:

x=−4y+9

Step-by-step explanation:

Let's solve for x.

x+4y=9

Step 1: Add -4y to both sides.

x+4y+−4y=9+−4y

x=−4y+9

Answer:

x = 9 - 4y

Step-by-step explanation:

Step-by-step explanation:

per the laws of intersecting lines the angles on one side of any of the lines must be the same as the angles on the other side of that line - just left-right mirrored.

for that reason, CGE = DGF.

also to remember : the sum of all angles around a point on one side of a line is always 180° (because they represent a half-circle with that point being the center). in other words, these angles are supplementary (together 180°).

therefore,

180 = 62 + 32 + DGF

DGF = CGE = 180 - 62 - 32 = 86°

[tex] \large \bf \implies{x = 24 \degree \: and \: y = 15 \degree}[/tex]

[tex] \bf \longrightarrow(6x - 7 ) \degree+ (3x - 29) \degree = 180 \degree \\\bf \longrightarrow (9x - 36) \degree = 180 \degree \\\bf \longrightarrow 9x = 180 \degree + 36 \degree \\\bf \longrightarrow 9x = 216 \degree \\\bf \longrightarrow x = \frac{ \cancel{216} \degree}{ \cancel{9} } \\\bf \longrightarrow \boxed{ \bold{ x = 24 \degree}}[/tex]

[tex] \red{ \rule{7cm}{0cm}}[/tex]

[tex]\bf \longrightarrow(8y + 17) \degree = (6x - 7) \degree[Vertical \: angles] \\\bf \longrightarrow 8y = 6 \times 24 - 7 - 17 \\ \bf \longrightarrow8y = 144 - 24 \\\bf \longrightarrow 8y = 120 \\\bf \longrightarrow y = \frac{ \cancel{120}}{ \cancel{8} } \\\bf \longrightarrow \boxed{ \bold{y = 15 \degree}}[/tex]

The point-slope equation of something like the line, with slope equal to 5/6 but instead passing through the point at(22 , 12), is:

(y - 12) = 5/6(x - 22).

A line's equation can be stated in three different ways:

The typical form of a line equation is ax + by = c, where a but rather b are the coefficients of variables x and y, respectively, as well as c is a constant if all possible values must be integers. In the meantime, the slope-intercept form is given by the formula y = mx + b, where m is the line's slope as well as b is the y-intercept. Given the slope m and a point on the line (x, y), we can formulate the equation using point-slope form, (y - y1) = m. (x - x1).

To build up the equation, use the point slope form and enter in the values.

(y - y1) = m(x - x1)

where;

m = 5/6

(x1 , y1) = (22 , 12)

(y - 12) = 5/6(x - 22)

In slope-intercept form, the equation of the line is:

(y - 12) = 5/6(x - 22)

y - 12 = 5/6 x - 110/6

y = 5/6 x - 19/3

In standard form, the equation of the line is:

y = 5/6 x - 19/3

5/6 x - y = 19/3

Multiplying both sides by 6,

5x - 6y = 38.

The point-slope equation of something like the line, with slope equal to 5/6 but instead passing through the point at(22 , 12), is:

(y - 12) = 5/6(x - 22).

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Answer:

x = 9

A(lol,brainly wont let me post this)F = 19

Step-by-step explanation:

see image. Since F is the midpoint, both halves of the segment must have the same measure.

If AhalfF is 2x+1, then the other half of AD must also be 2x+1.

We were given the length of the whole thing as well, so we can set up an equation to solve. See image.

Answer:

The resultant expression is 48 + 30 = 6 (8 + 5) = 6 (13) = 78.

Step-by-step explanation:

It is given that the GCF of 48 and 30 to write the sum of the two numbers as the product of their GCF and another sum.

Now,

The largest number that can divide two numbers is known as the GCF. The formula for 48 plus 30 is as follows;

=> 48 + 30

=> 6 (8 + 5)

=> 6 (13)

=> 78

Here, the numbers are given as 48 and 30 so, the expression is;

=> 48 + 30

And their GCF is 6 so, we get;

=> 48 + 30 = 6 × 8 + 6 × 5

=> 48 + 30 = 6 (8 + 5)

=> 48 + 30 = 6 (13)

=> 48 + 30 = 78

Therefore, the resultant expression is 48 + 30 = 6 (8 + 5) = 6 (13) = 78.

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Answer:

96.8 fps

Step-by-step explanation:

the formula is

x * 1.46666667

66 * 1.46666667

≈96.8

Option A, 65 + |−5| = 70°, 65° is the farthest from 0°

Here, we are given that.

The average temperature in the mountains is 65° in April.

The average temperature in that same spot is −5° in December.

Thus, the difference in the temperature will be-

65 - (-5)

= 65 + 5

= 70°

Therefore, this location is 70° warmer in April than in December.

Now, their distance from 0 will be-

|65 - 0| = 65

as distance cannot be negative, we look at only the absolute difference.

Similarly |-5 -0| = 5

Thus, we see that 65° is the farthest from 0°.

Hence, option A, 65 + |−5| = 70°, 65° is the farthest from 0°, is the correct answer.

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This is an expression testing the knowledge on indices. Solve the like terms and apply the index rule: a^m÷ a^n = a^m-n.

x²/₃ y⁻¹/₄ / x¹/₂ y⁻¹/₂

x²/₃ y⁻¹/₄ ÷ (x¹/₂ y⁻¹/₂)

x²/₃÷ (x¹/₂) . y⁻¹/₄ ÷ (y⁻¹/₂)

x^(2/3-1/2)y^(-1/4--1/2)

x^1/6.y^1/4

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Answer:

7 and 1/3

O___O

Jeffery will obtain $54 as interest on $4,500.00

If Jeffery originally invested $4,500.00.

Then, 1.2% interest on 4,500.00 will be:

Therefore, Jeffery will obtain $54 as interest on $4,500.00.

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