State whether following sentence is true or false. If false, replace the underlined term to make a true sentence. The first part of an if-then statement is the conjecture .

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

To know more about area, refer to the link :

https://brainly.com/question/11952845#

#SPJ11

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

Solve more problems about Ratio here :

https://brainly.com/question/19761366

#SPJ9

Answer:

30 \((1 + \frac{.18}{12})^{5*12}\)

Step-by-step explanation:

Answer:

\(5^{-4}\)

Step-by-step explanation:

\(\frac{5^3}{5^7}\)

Apply the law of exponents.

\(5^3 \div 5^7\)

\(5^{3-7}\)

\(5^{-4}\)

Answer:

\( {5}^{ - 4} \)

Step-by-step explanation:

\( \frac{ {5}^{3} }{ {5}^{7} } \\ {5}^{3 - 7} \\ = {5}^{ - 4} \)

The missing value in the table is the simple interest. The correct value for the missing interest amount is $450.40.

To calculate simple interest, we use the formula I = P * R * T, where I represents the interest, P is the principal amount, R is the interest rate, and T is the time period. In the given table, we are provided with the principal amount (P = $5,630), the interest rate (R = 4%), and the time period (T = 2 years). Plugging these values into the formula, we can calculate the missing interest amount:

I = $5,630 * 0.04 * 2

= $450.40

Therefore, the missing value in the table is $450.40, which represents the simple interest earned over a period of 2 years on a principal amount of $5,630 with an interest rate of 4%.

Learn more about simple interest here: brainly.com/question/30964674

#SPJ11

If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ4

Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

Answer: 13.76 percent

Step-by-step explanation:

Answer and explanation:

Yes Samantha is correct. Samantha is correct because a fraction 1/2 of customers who ordered raspberry toppings refers to half of the total number of customers. A fraction 1/2 is 50 percent or 50/100 of the population of customers, therefore meaning that 50% or half of the total number of group of customers ordered raspberry toppings

Answer:

So the answer is 20/64=5/16

The probability of getting at least 3 heads when a fair coin is tossed 6 times is 3/64.

Here, correct answer will be 3/64

This means that there is a 3 in 64 chance that 3 or more heads will be obtained when the coin is flipped 6 times. This can be calculated by finding the total number of possible outcomes of flipping the coin 6 times and then subtracting the number of outcomes that contain fewer than 3 heads.

The total number of possible outcomes is 2^6, which is 64. The number of outcomes that contain fewer than 3 heads is 7, which is the total of 1 head, 2 heads, and 0 heads. Therefore, the probability of getting at least 3 heads when a fair coin is tossed 6 times is 3/64.

know more about probability here

https://brainly.com/question/30034780#

#SPJ11

Answer:

=

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

the square root of 169 is 13

Answer:

i did dude.may God bless you.sorry.l

Answer:

Hello! its 1

Step-by-step explanation:

For removing all the perfect squares of √(39y^9), we need to factor out any perfect squares from the expression under the square root.

To get rid of all the perfect squares in (39y9), factor out any perfect squares in the expression under the square root.

First, by factoring 39 and y9, we can simplify the expression under the square root:

\(√(39y^9) = √(313y^8y) = √(313*(y^4)^2*y)\)

Because (y4)2 is a perfect square, we can take it out from under the square root:

\(√(39y^9) = √(313(y^4)^2y) = (y^4)√(313*y)\)

By removing all of the perfect squares from (39y9), we get:

\((y^4)√(313y)\)

To know more about square root visit :-

https://brainly.com/question/9664917

#SPJ1

Answer:

Mark is 12 years old.

Step-by-step explanation:

Let's just define some variables:

J = Jason

A = Alex

M = Mark

Next, let's put the information given in the question into equations.

Since Jason is 10 years older than Alex we can represent it like this:

J = A + 10

Since Mark is 11 years younger than Alex we can represent it like this:

M = A - 11

All of their ages add up to 68 so we can represent that like this:

J + A + M = 68

We can now do some substitutions to the J and M in this equation, like this:

(A + 10) + A + (A - 11) = 68

Combine like terms:

3A - 1 = 68

Solve for A

3A = 69

A = 23

Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:

J = 23 + 10

J = 33

M = 23 - 11

M = 12

Mark is the youngest out of the siblings being 12 years old.

Check:

23 + 33 + 12 = 68

68 = 68 :)

I hope this helps!!

- Kay :)

Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

To Know more about average visit:

https://brainly.com/question/24057012

#SPJ11

The term 5280 represents the number of feet in a mile in this relationship y=5,280x.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y=5,280x

The number 5,280 here represents the number of feet in a mile in this connection.

The equation is calculated:

Since Y=5,280x, the equation

It gives the quantity, y, of feet in x miles.

We may conclude that 5,280 represents the number of feet in a mile in this relationship.

Thus, the term 5280 represents the number of feet in a mile in this relationship y=5,280x.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

To know more about expressions visit :

https://brainly.com/question/28170201

#SPJ11

Answer:

x = 27

Step-by-step explanation:

the 2 angles form a straight line and sum to 180° , that is

3x + 9 + 90 = 180

3x + 99 = 180 ( subtract 99 from both sides )

3x = 81 ( divide both sides by 3 )

x = 27

Answer: 3(x+3)

Step-by-step explanation: 3x+9 then factor out 3 = 3(x+3)

Answer:

the horizontal axis- X

the vertical axis- Y

For i) we get: a = -1/3 and b = -20/3 and for ii) we get the polynomial satisfying all the given properties is: P(x) = x³ - (1/3)x² - (20/3) and for iii) we get c=0

Explanation:

To satisfy property iii) P(0)=0, we know that c must be equal to 0.

Let's now use the first two properties to find the values of a and b.

i) At x = -3, P'(x) = 0 and P''(x) < 0 for a local maximum.

P'(x) = 3x² + 2ax + b

P''(x) = 6x + 2a

Substituting x = -3 in the above equations, we get:

9a - 9 + b = 0

-18 + 2a < 0

Solving the above two equations simultaneously, we get:

a = -1/3 and b = -20/3

ii) At x = 7, P'(x) = 0 and P''(x) > 0 for a local minimum.

Using the same approach as above, we get:

a = -2/3 and b = 532/9

Therefore, the polynomial satisfying all the given properties is:

P(x) = x³ - (1/3)x² - (20/3)x

Note that property iii) is satisfied because we set c=0 earlier.

Visit here to learn more about local minimum brainly.com/question/10878127

#SPJ11

The two triangles ΔRST and ΔUVW are similar to each other by the SAS property.

Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.

Given that there are two triangles ΔRST and ΔUVW. ΔRST has the angle ∠T = 59° and the sides RT = 15 units and ST = 13 units. The other triangle ΔWVU has the angle ∠W = 59° and the sides WV= 52 units and WU= 60 units.

Firstly the two angles are the same,

∠T= ∠W = 59°

The two sides are dilated by a scale factor of 4,

WV /  ST = 52 / 13 = 4

WU /  RT = 60 / 15 = 4

So these sides are similar.

Hence, from the SAS property, the two triangles are similar.

To know more about similarities follow

https://brainly.com/question/24184322

#SPJ1

Answer:

 (−3x−9)+(4x+8)

=(−3x+4x)+(−9+8)

=x−1

Step-by-step explanation:

Answer:

x-1

Step-by-step explanation:

First, solve the like variables. -3x + 4x equals 1x and then -9 + 8= -1. All together it will be 1x-1, get rid of the 1 by dividing 1 into both sides and the answer will finally be x-1

Answer:

18.525 or 4.275 Profit

Step-by-step explanation:

Multiplying 14.25 by 1.3 for 30% results in 18.25. Profit can be calculated by subtracting the price they sell it for, 18.525 minus the 14.25 to purchase the original book is $4.275 profit.

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

To know more about yield:

https://brainly.com/question/30820017

#SPJ4

Answer:

18x² - 3x - 10

Step-by-step explanation:

        a = 3x + 2

        b = -5 +6x

To find ab use FOIL method.

ab = (3x + 2) (-5 + 6x)

    = 3x *(-5) + 3x*6x + 2*(-5) + 2*6x

    = -15x + 18x² - 10 + 12x

    = 18x² - 15x + 12x - 10

Combine co-efficient of like terms. Like terms have same variable with same power. Here, (-15x) and 12x are like terms.

    = 18x² - 3x - 10

The value of m<1 is 65 degrees

From the diagram shown, we have that;

It is important to note that angles on a straight line sum up to 180 degrees

Also, corresponding angles are equal

Then, we have that;

m<2 + m<3 = 180°

Substitute the values

9x + 7 + 5x + 5 = 180

collect like terms

14x = 180 - 12

14x = 168

Make 'x' the subject

x = 168/ 14

x = 12

We have that;

m<3 = 5x + 5 = 5(12) + 5 = 60 + 5 = 65

But m<3 = m<1

m<1 = 65

Thus, the value of m<1 is 65 degrees

Learn more about corresponding angles here:

https://brainly.com/question/2009183

#SPJ1

The coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)

If a coordinate (x, y) is reflected across the x-axis, the resulting coordinate after reflection is (x,-y)

Note that the y-ccordinate is negated after the reflection.

Given the coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)

Learn  more on reflection here: https://brainly.com/question/26642069

#SPJ1

Answer:

76.2 / 2.54 = 30

Step-by-step explanation:

(Centimeters of table) / (Centimeter to inch conversion rate) = (Inches of table)