Mrs. Frank asks four of her students to measure four different objects. Here are the results.

Which student had the greatest percent error?

Answer:

2,500

Step-by-step explanation:

1cm=50km

50cm*50km=2500km

Answer:

2500 km

Step-by-step explanation:

If 1 cm is equal to 50 km, we can multiply the 1 cm by 50 to get 50 cm. In order to do this, we also have to multiply the 50 km (which was equal to the 1 cm) by 50 as well.

50 x 50 = 2500

Whatever we do to one side, we have to do to the other to make it equivalent.

The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5)  = 4

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5)  = 4

Hence, the expression represented by the statement is 6(t - 5)  = 4

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Considering the absolute value function, it is found that:

The absolute value function of vertex at point (h,k) is defined according to the following rule:

f(x) = |x - h| + k.

In the context of this problem, the function is given as follows:

g(x) = |x + 3|.

Hence the coefficients are:

h = -3, k = 0.

Meaning that the coordinates of the vertex are given by:

(-3,0).

The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.

The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.

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One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials.

The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the results of one trial do not influence those of the others.

An experiment with a fixed number of independent trials and just two results is referred to as a binomial experiment.

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Answer:

$6633.04

Step-by-step explanation:

6000x1.034^3=6633.04

The value of his investment after 3 years will be $6633.04.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor. It differs from a fee that the borrower may pay to the lender or a third party.

Compound interest is the interest added to the principal amount of a loan or deposit, also known as interest on interest plus interest.

Given that Harry invests £6000 in a savings account. The account pays 3.4% compound interest per year.

The compound interest will be calculated as,

[tex]A = P( 1 + \dfrac{r}{100})^{nt[/tex]

Substitute the values in the equation above and solve,

A = 6000 x 1.034³

A = $6633.04

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The solution to the simultaneous equation is y = 5.5 and x = 1.5

Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.

we have

y = 3x + 1 - - - - 1

x + y = 7 - - - - 2

we have to put the value of y in equation 1 into equation 2

we would have

x + 3x + 1 = 7

4x + 1 = 7

4x = 7 - 1

4x = 6

x = 6 / 4

x = 1.5

put the value of x in equation 2 to get y

1. 5 + y = 7

y = 7 - 1.5

y = 5.5

Therefore the values of y is 5.5 while the value of x is 1.5

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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
y = 3x + 1    _ _ _ _ _ _ (1)
x + y = 7      _ _ _ _ _ _ (2)
From equation 2
y = 7  - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2

Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

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Step-by-step explanation:

I assume, based on what I see, that the solid line is just cos(x), right ?

and we need to find the equation that draws the dotted line, correct ?

the notation is strange, as it seems we need to find a multiplication factor for x in the cos function.

but there is no multiplication factor that moves the cosine wave by pi to the left or to the right (so that the max. happens, where originally the minimum happens, and vice versa).

so, we need to add (or subtract) pi in the cosine function.

the rest is clear :

the normal distance between min. and max. of the cosine function is 2 (between +1 and -1). the target is 4. so we need to multiply by 2.

and since the values of that function have to be between -4 and 0 (instead of -2 and +2), we have to subtract overall 2.

giving us the function :

y = 2×cos(pi + x) + -2

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.

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Answer:

125

Step-by-step explanation:

71.47 rounded to the nearest whole number would be 71.

54.357 rounded to the nearest whole number would be 54.

Now, when we add 71 and 54, we get:

71+54=

125

The total would be 125

Formular for total surface area of a cylinder

S = 1231.5 sq ft

By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").

You can identify that the triangle STU is a Right triangle, because:

The following is one of the Trigonometric ratios. It's called "Secant":

In this case you can identify that:

Then, substituting values, you get that the answer is:

The two equations with infinitely many solutions are the ones in options B and C.

An equation only has infinitely many solutions if we have a true equation that does not depend of x.

For example, if you look at option B, we have:

-76x + 76 = -76x + 76

We have the same expression in both sides, if we subtract it in both sides we get:

0 = 0

This is true, and does not depend of x, so this equation has infinitely many solutions.

The same thing happens for equation C.

76x+76=76x+76

Where we have the same thing in both sides.

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Answer:

1) 64 and 81

2) a(n) = (n + 2)^2, where n = 1, 2, 3, ...

3) a(25) = (25 + 2)^2 = 27^2 = 729

Step-by-step explanation:

x + y = 18 We have at least 4 quarters

0.25x + 0.1y = 3.6

If we graph both equations, the point of intersection will give us our answer.

In this case, the lines intersect at the point (12, 6) which means I have 12 quarters and 6 dimes. This solution is correct as it also satisfies the condition of having at least 4 quarters.

(got this from another website, maybe it's wrong..

Wishing you the best!! )

Answer:

30 km/s

Explanation:

Formula for average speed = Total distance/total time

From the question,

Total distance = 600 km, Total time = 20 seconds

∴ Average speed = 600 km/20 seconds

Average speed = 30 km/s

If the coordinates of quadrilateral ABCD are A (-6,2) B (-5,3) C (7,3) D (0,4) and it is translated 4 units down and 3 units right, then the coordinates of the image is A'(-3,-2), B'(-2,-1), C'(10,-1) and D'(3,0)

The coordinates of the quadrilateral ABCD is

A (-6,2) , B(-5,3), C(7,3) and D(0,4)

The quadrilateral is translated 4 units down and 3 units right

After translation

A(x, y)⇒ A(x + a, y +b)

The value of a and b will be positive if the shift is right and up.

The value of a and b will be negative if the shift is left and down.

Therefore

a = 3, b = -4

The coordinates of A' =(-6+3,2-4)=(-3,-2)

The coordinates of B' =(-5+3,3-4)=(-2,-1)

The coordinates of C' =(7+3,3-4)=(10,-1)

The coordinates of D' =(0+3,4-4)=(3,0)

Hence, If the coordinates of quadrilateral ABCD are A (-6,2) B (-5,3) C (7,3) D (0,4) and it is translated 4 units down and 3 units right, then the coordinates of the image is A'(-3, -2), B'(-2, -1), C'(10, -1) and D'(3, 0)

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Applying the trapezoid midsegment theorem, the diameter of the bottom layer of the cake = KS = 26 inches.

The diameter of any circular shape is the length of the line segment that divides the shape into two equal halves and runs through its center.

The trapezoid midsegment theorem states that the length of the midsegment of a trapezoid that is parallel to its bases is equal to half of the sum of the bases.

Using the trapezoid midsegment theorem we have:

MQ = 1/2(NP + LR)

Substitute

MQ = 1/2(8 + 20)

MQ = 1/2(28)

MQ = 14 inches

Also, we would also have:

LR = 1/2(MQ + KS) [trapezoid midsegment theorem]

Substitute

20 = 1/2(14 + KS)

40 = 14 + KS

40 - 14 = KS

26 = KS

KS = 26

The diameter = KS = 26 inches.

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The diameter(KS) of the cake's bottom layer is calculated using the trapezoid midsegment theorem is 26 inches.

The diameter of a circle is equal to the length of the line segment running through its center and dividing it into two equal halves.

According to the trapezoid midsegment theorem the length of a trapezoid's midsegment that is parallel to its bases is equal to half of the sum of the bases.

MQ = 1/2(NP + LR)

MQ = 1/2(8 + 20)

MQ = 1/2(28)

MQ = 14 inches.

And,

LR = 1/2(MQ + KS).

20 = 1/2(14 + KS)

40 = 14 + KS

40 - 14 = KS

26 = KS

KS = 26

The diameter(KS) is 26 inches.

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The graphed function in the slope-intercept form can be written as:

y = -4*x - 2

A general linear function in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

On the graph, we can see that our line intercepts the y-axis at y = -2, so the y-intercept is b = -2, replacing that we get:

y = m*x - 2

We also can see that the line passes through (-1, 2), replacing these values on the linear equation we get:

2 = m*(-1) - 2

m = -2 - 2

m = -4

Thus, the linear function in the graph is:

y = -4*x - 2

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f(x) means the value of y

The graph has a part down the x-axis which means f(x) < 0

The graph has another part over the x-axis which means f(x) > 0

The value of x for the negative part is from - infinity to 3

Then f(x) < 0 at the interval (-00, 3)

The value of x for the positive part is from 3 to infinity

then f(x) > 0 at the interval (3, 00)

Then the answer is C

Opposite Q is length PR

Adjacent is 7

Hypotenuse is 19

We got AH - which is CAH or cos

Cos-1( 7/19) = 68.38....

It's 68.4 degrees

The closest answer to this is B. So, choose that because it maybe due to a typing error.

Hope this helps!

The multiplication expression is  L×w

The expression is written as N= r+ g + w + b

The final product = 200 boxes

It is important to note that the formula for calculating the area of a rectangle is expressed as;

Area = lw

Where;

The area can be determined by multiplying the length and the width and also by then adding the boxes.

Mathematically, we have;

10( 4 + 5 + 4 + 7)

Also

L × w =  r + g + w + b

Hence,  we have that L×w is a multiplication expression.

Total number of boxes for the length = 20

Total number of boxes for the width = 10

Total area = L×w = 20×10=200

We then have;

N= r+ g + w + b

but r = g = b

Also,

L×B =  3r + w

Hence, a multiplication expression is an expression in which variables or numbers are being multiplied.

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If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.

The kinetic energy is given as,

KE = (mv²)/2

Where m is the mass and v is the velocity.

Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.

The velocity is given as,

v = 1.5/12.5

v = 0.12 km/min

v = 0.12 x 1000 / 60

v = 2 m/s

Then the kinetic energy of Shawn will be given as,

KE = (48.1 x 2²) / 2

KE = 48.1 x 2

KE = 96.2 J

If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

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As per the concept of Simple interest, the value of x that refers the time is 0.000057.

Simple interest:

Simple interest is obtained by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Give,

Here we have the expression like the following:

p*r*t=I

4350 * 4 * x =1

Here we need to find the value of x.

While we looking into the expression, we have identified that the value of

Principal amount (p) = 4350

rate of interest (r) = 4

Time = x

Interest amount (I) = 1

So, while we execute this expression then we get the value of times as,

=> 4350 x 4 x x = 1

Here we need the value of x so, we have to move the other to the right hand side, then we get,

=> x = 1/(4350 x4)

=> x = 1/17400

=> x = 0.000057

Therefore, the value of x is 0.000057.

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Answer:

f(2)=3

f(1)=2

f(-1)=0

f(0)=1

Step-by-step explanation:

f(x)=y

when finding what f(x)=? you would see whats in the () and find that number on the x-axis. Find where the line hits on the x-axis and find the number on the y-axis that correlates with it. The y-axis number is what goes the the ().

when finding whats in the () you find what number it equal to on the y-axis and what is in the () would be the number that the line is on on the x-axis

Let's recalll that:

• 1 mile per hour = 1.46667 feet per second

Therefore:

• 10 miles per hour = 1.46667 * 10 feet per second

• 10 miles per hour = 14.6667 feet per second, Khalil!

Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

the number of sales by b must be 150 to make the same amount of salesman B.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

given that :

Salesman A gets paid $300 a month plus $8 for every sale he makes :

let the no. of sales A made be : x

then, in order to make the same amount of salesman b we equate btoth the amount :

300 + 8x = 1500

8x = 1500-300

8x = 1200

x = 1200/8

x = 150

Therefore, the number of sales by A must be 150 to make the same amount of salesman b.

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Answer: Length = 10√2

Step-by-step explanation: You have to use the pythagorean theorem