A cat can run 30 miles per hour. At this rate, how many minutes would it take a car to run 1.5 miles?

A logarithmic function can be said to be an inverse function of exponents.

There are 2 kinds of logarithmic functions, natural lo and log with a base of 10.

The natural lo has an "e" as its base. This is an irrational number often used in Mathematics.

Here we write it as:-

ln a

where a refers to any number a. We generally don't mention anything for the base because it automatically implies that the base is e.

The second way is to write:-

logₓa,

here the "x" is the base while a is any number. Now logₓa will actually give us the exponent or the power of x that will give us a result of a. Here it is important to mention the value of the base.

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Answer:

900 meters

Step-by-step explanation:

If the height of the building (unknown) is opposite of the angle of elevation (20°) and the distance from the building (402 meters) is adjacent to the angle of elevation, then we use the tangent function to find the height of the building:

tanθ=opposite/adjacent

tan(20°)=x/402

402tan(20°)=x

900=x

Therefore, the height of the skyscraper is 900 meters.

Answer:

-29

Step-by-step explanation:

(−4−3)(2^2)−1

=−7(2^2)−1

=(−7)(4)−1

=−28−1

=−29

Answer:

NEGATIVE 29

Step-by-step explanation:

p

Exponents

Multiply

D

Add

Subtract

So the first exponent is

[tex]2^{2}[/tex] which is 4

So now we have multiply so

4 x ( - 4 + - 3 )

4 x - 4 = - 16

4 x - 3 = - 12

So our new equation is

- 12 - 16 - 1 = - 29 :)

So the answer is NEGATIVE 29

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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Answer:

1st, 4th and 5th are correct.

Step-by-step explanation:

The order from greatest to least is -3/8> -2/5>-0.44>-0.5

To compare all the numbers, we first convert the numbers to their fractional equivalent.

Therefore, -0.44= -44/100

And -0.5= -5/10

Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100

Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100

Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100

and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100

Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100

Thus, -3/8> -2/5>-0.44>-0.5

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Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer: <9

Step-by-step explanation:

Answer:

volume of a sphere is ⁴/³π r³

⁴/³ ×3.14 × 23³

3 goes into 3.14 , 1.047 times

4 ×1.047×23³

50939.17

Step-by-step explanation:

hope itade sense

The solution of the equation 3(2m - 1) ≤ 4m + 7 is option A m ≤ 5.

A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. An inequality symbol denotes that the expressions on each side are not equal.

The given inequality is 3(2m - 1) ≤ 4m + 7

Remove the brackets by multiplying 3 with each term inside it:

6m - 3 ≤ 4m + 7

Subtract 4m from both sides of the equation.

6m - 3 - 4m ≤ 4m + 7 - 4m

2m -3 ≤ 7

Add 3 to both sides of the equation.

2m - 3 + 3 ≤ 7 + 3

2m ≤ 10

Divide both sides of the equation with 2.

2m/2 ≤ 10/2

m ≤ 5

Hence the solution of the equation is m ≤ 5, that is option A.

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Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].

An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.

An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.

x= number of tables sold

y= number of chair sold

max furniture in a day = 20

so, [tex]x+y \leq 20[/tex].

least selling amount = 4800

so, [tex]450x+200y \geq 4800[/tex]

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The line x= -4 is a vertical line passing through x-axis.

It is a distance of 4 units from the x-axis and is parallel to the y-axis.

Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.

There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:

x = a

where x is a point on the line's coordinate.

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The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

The expressions are mainly of 4 types that includes:

Let the width be w.

So, length of rectangle will be w+2

Now, area of rectangle is length*width

Area= (w+2)*w

= w^2+2w

Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.

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The error interval for the length ,x, of the material is [8.25, 8.35)

We know that error interval is nothing but the limits of accuracy when a number has been rounded.

It is the range of possible values that a number could have been before a number was rounded.

Here, The length L of a some material is 8.3 meters.

The length of the material has been rounded to 8.3 to one decimal place.

The number below 8.3 is 8.2 and the number above is 8.4

Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.

This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.

Therefore, the required error interval would be 8.25 ≤ x < 8.35

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Answer:

75 dumplings

Step-by-step explanation:

1500/20= 75

Answer:

−20d+1500

Step-by-step explanation:

I did it on khan and it worked

Answer: $244.20

Step-by-step explanation:

The amounts listed are per $1,000 of coverage so if the coverage is $110,000, first find the number of $1,000 coverages this entails:

= 110,000 / 1,000

= 110

Then multiply this by the cost per $1,000 for a 22 year old female for a 5 year policy:

= 110 * 2.22

= $244.20

Answer:

1,848 m3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

We want to solve the equation:

[tex]x^2+2x+7=0[/tex]

Using the quadratic formula. The quadratic formula is given by:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = 7.

Substitute:

[tex]\displaystyle x=\frac{-(2)\pm\sqrt{(2)^2-4(1)(7)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-2\pm\sqrt{-24}}{2}[/tex]

Simplify the square root:

[tex]\sqrt{-24}=\sqrt{4\cdot 6\cdot -1}=\sqrt{4}\cdot\sqrt{6}\cdot\sqrt{-1}=2i\sqrt{6}[/tex]

Hence:

[tex]\displaystyle x=\frac{-2\pm2i\sqrt{6}}{2}[/tex]

Simplify:

[tex]\displaystyle x=-1\pm i\sqrt{6}[/tex]

Hence, our solutions are:

[tex]\displaystyle x=\left\{-1+i\sqrt{6}, -1-i\sqrt{6}\right\}[/tex]

Our answer is C.

Answer:

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Step-by-step explanation:

Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)

x+5y=6

subtract x on both sides

5y=-x+6

divide by 5 on both sides

y=-(1/5)x+6/5

The slope of this equation is the coefficient of x, -1/5.

The slopes of two perpendicular lines are negative reciprocals of each other.

To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.

-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.

Parallel lines have the same slope, so that's just -1/5.

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Answer:

5/3 or 1 2/3

Step-by-step explanation:

Simply do 5 / 3 to get your answer. You can either say it is 5/3 or 1 2/3.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

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Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5

The centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.

The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

In this triangle, the centroid is at P and the QP is 17.

a) QN

The distance between QP is two-thirds the length of QN

The length of QP = 17

QP = 2/3 QN

17 = 2/3 QN

QN = (3 * 17) / 2

QN = 25.5

b) PN

The distance between PN is calculated as;

PN = QN - QP

PN = 25.5 - 17

PN = 8.5

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Answer:

15. C. segment AC

16. D. angles ACD and DCE

17. C. substitution

18. C. axiomatic systems

19. A. Axioms

20. D. Defined Terms

The value of a is -1 When we put the value of x as zero all the terms which include x become zero then only constant terms are remaining.

The given question is in the form of an equation.

let's try to understand what is an equation.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance,

the equation 4x + 56 = 14 consists of the two equations 4x + 56 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

There are so many types of equations present linear equations, quadratic equations, and cubic equations.

According to the degree of the equation so many different types of equations.

2x^2 + x -a + 4  = 5 put x = 0.

2*0 + 0 - a + 4  = 5

-a + 4 = 5

-a = 5 - 4

-a  = 1

a  = -1.

So the value of a is -1.

Given Question is incomplete complete question here

What should be the value of a if the value of  2x^2 + x -a + 4  equals to  5 when x =0.

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Answer: no

Step-by-step explanation:

Zero is neither positive or negative

Answer:

101.25 feet2

Step-by-step explanation:

Area =  

b1 + b2  ×h

2

=  

16 + 11  × 7.5

2

=  101.25 feet2

Tip if you need this again just go to Area Calculator

Answer:

99.7%

Step-by-step explanation:

the standard deviation is 4 minuet but  there is always outliers so thats  why its not 100% of the time and the minutes are  coverd  by the deviation.  

Answer:

68%

Step-by-step explanation:

The attached normal table shows area under the standard normal curve that are to the left of a particular z-score.

To find the area between two z-scores, say [tex]z_1 < z_2[/tex], find the area to the left of [tex]z_2[/tex] then subtract the area to the left of [tex]z_1[/tex].  That difference is the area between the two z-scores.

38 minutes has a z-score [tex]z_1=\frac{38-42}{4}=-1[/tex]

46 minutes has a z-score [tex]z_2\frac{46-42}{4}=1[/tex]

Find z= 1.0 in the table. The area in that row is .8413.

Find z=-1.0 in the table.  The area in that row is .1587.

The difference, .8413 - .1587 = .6826 is the area under the normal curve between z=-1 and z=1.

.6826 is about 68%

Katie is correct. Any number with 4 as a factor will also have 8 as a factor; therefore, any number with 8 as a factor will have 4 as a factor.

Katie is correct. Any number that is a multiple of 8 will also be a multiple of 4 because 8 is divisible by 4. For example, 8 is a multiple of 4 (8 = 2 x 4) and 16 is a multiple of 8 (16 = 2 x 8) and also a multiple of 4 (16 = 4 x 4). So, any number that is a multiple of 8 will also be a multiple of 4.  So any number that is a multiple of 8 will also be a multiple of 4. Note that 80 is a multiple of 8, but not 4.

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