john found a game spinner that was not completely labeled.The spinner is shown below.Help Robert figure it out what fraction of the spinner is missing

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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Answer:

2/7 is the right answer

14 and 21 are both divisible by 7, their GCF, so if you divide the numerator and the denominator by 7, you get the fraction 2/7

Answer:

  27π/2

Step-by-step explanation:

The differential of volume is the product of a differential of area and the circumference of the revolution of that area about the given axis. The limits of integration in the x-direction are where y=28 crosses the curve, at x=4 and x=7.

   \(dV=2\pi(x-4)(y-28)\,dx\\\\dV=2\pi(x-4)(-x^2+11x-28)\,dx=2\pi(-x^3+15x^2-72x+112)\,dx\\\\\displaystyle V=\int_4^7{dV}=2\pi\int_4^7{(-x^3+15x^2-72x+112)}\,dx\\\\=2\pi\left(\dfrac{4^4-7^4}{4}+15\dfrac{7^3-4^3}{3}-72\dfrac{7^2-4^2}{2}+112(7-4)\right)=2\pi\dfrac{27}{4}\\\\\boxed{V=\dfrac{27\pi}{2}}\)

_____

Check

The parabola's vertex is (5.5, 30.25), so its area above the line y=28 is ...

  A = (2/3)(7 -4)(30.25 -28) = 4.5 . . . square units

The centroid of that area lies on the line x=5.5, a distance of 1.5 from the axis of rotation. So, the volume of revolution is ...

  V = 2π(1.5)(4.5) = 27π/2 . . . matches the above

Answer:

The interest rate = 1.68%

Step-by-step explanation:

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So 20% of the interest =£ 30.24

Let the interest be x

X0.2= 30.24

X=£ 151.2

The total interest was£ 151.2

The rate R at which generated this interest

R = (100*151.2)/(1*9000)

R= 15120/9000

R= 1.68%

The interest rate = 1.68%

Answer:

Center = (-3,  7)

radius = 5

Step-by-step explanation:

x² + y² + 6x – 14y + 33 = 0

Put the equation in standard form:

(x - h)² + (y - k)² = r²

(h, k) is the center

r is the radius

---------------------------

Regroup

x² + 6x + y² - 14y = -33

Complete the square for x

(x + 3)² + (y - 7)² = -33 + 3² + (-7)²

(x + 3)² + (y - 7)² = 25

Center = (h, k) = (-3,  7)

radius = √25 = 5

Answer:

Terrell ran 1,000 meters more than Victor

Step-by-step explanation:

Victor ran 3 kilometers, which equals 3000 meters. Terrell ran 4000 meters, which is 1000 more than 3000.

Answer:

A: (-5,2)

Step-by-step explanation:

algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula

Answer:

D. 21.9%

Step-by-step explanation:

(650÷2970)x100= 21.88% rounded off 21.9%

Answer: 5.49 × 10-4

Step-by-step explanation:

When you move the decimal over move it over to the right by 4 units.

When you move right it is (-) negative. So you get 5.49 x 10-4.

Answer: 10

Step-by-step explanation: The common denominator for these two

fractions is simply the least common multiple for the two denominators.

Since our denominators of 5 and 2 have no factors in common,

our least common denominator is 5 · 2 or 10.

Answer:

c

Step-by-step explanation:

hope that helps

The correct description that best explains the domain of (g o f) (x) is: The elements in the domain of f(x) for which g(f(x)) is defined.

From the question, we have the following parameters that can be used in our computation:

(g o f) (x)

The expression (g o f)(x) is a composite function

The domain of (g o f)(x) is the set of all possible inputs x for which the composition (g o f)(x) is defined.

For the composition (g o f)(x) to be defined, it is necessary that the input x belongs to the domain of f(x), and the output of f(x) belongs to the domain of g(x).

Hence, the domain of (g o f)(x) consists of all the elements in the domain of f(x) for which g(f(x)) is defined

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The statement that is true about the transformation of segment AB is;

AB is reflected over the y-axis and is congruent to the image.

A reflection is a type of transformation that behaves like a mirror. Thus, It swaps all pairs of points that are on exactly opposite sides of the line of reflection. The line of reflection can be defined by an equation or by two points it passes through.

Now, the transformation rule for reflection about the y-axis is;

(x, y) = (-x, y)

In this graph, it is exactly a reflection about the y-axis and as such we can say that option A is the correct answer.

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Applying the function, it is found that the object was dropped from a height of 256 feet.

--------------------

The time it takes for the object to hit the ground is given by:

\(t(h) = \sqrt{\frac{h}{4}}\)

--------------------

\(t(h) = \sqrt{\frac{h}{4}}\)

\(8 = \sqrt{\frac{h}{4}}\)

\((\sqrt{\frac{h}{4}})^2 = 8^2\)

\(\frac{h}{4} = 64\)

\(h = 4(64) = 256\)

The object was dropped from a height of 256 feet.

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Answer:

1,024

Step-by-step explanation:

Explanation

Step 1

apply distributive property to eliminate the parenthesis

Step 2

add 7 in both sides

Step 3

subtract bx in both sides

Step 4

finally, divide both sides by (a-b)

Answer:

10

Step-by-step explanation:

6-(-4)=10

I think so lol

Answer:

Distance = 10 units

Step-by-step explanation:

d = sqrt((x-x)^2 + (y-y)^2)

sqrt((-5+5)^2 + (-4-6)^2) = sqrt(100)

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

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Answer:

(-3+5i)(1)=-3+5i

Step-by-step explanation:

The multiplicative identity is given by :

\(a\times 1=a\)

Where

a can be any number

Out of 4 options, in option (2), (-3+5i) is multiplied by 1 and after multiplying we get (-3+5i).

Hence, the correct option is (b).  

Answer:

D) 21

Step-by-step explanation:

y= -7/12× -36

or, y= -7×-3

or, y= 21

Answer:

D

Step-by-step explanation:

Given

\(\frac{-7}{12}\) = \(\frac{y}{-36}\) ( cross- multiply )

12y = 252 ( divide both sides by 12 )

y = 21 → D

9.The area of a trapezoid is given as;

A={1/2h{b2 +b2}} where b2 and b2 are the lengths of the sides and h is the height

To express b2 in terms of A ,h, and b2 will be to make b2 the subject of the formular of trapezoid area.This will be

A={1/2h{b2 +b2}} ------ collect like terms and add

A={1/2h{2b2}} --------cancel the 2 in the 1/2 and that in brackets to get

A={h{b2}}

Divide both sides by h to remain with b2 on the right-hand side as

A/h = b2

So the expression will be :

b2 = A/h ---------answer

The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.

The correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."

The standard error of the sample proportion can be calculated using the formula:

SE = √[p*(1-p) / n]

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:

SE = sqrt[0.37*(1-0.37) / 100] = 0.048

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

d-2

Step-by-step explanation:

6d^2-12d

Both contain d and can be divided by 6

6d (d-2)

6d= 0

d= 2

Answer:

6d (d-2)

Step-by-step explanation:

6d^2 - 12d

= 6d (d - 2)

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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The solution is, the value of x = 4.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

(x + 3) + (4x +7) ➗ 2 = 15

⇒5x+10=15*2

⇒5x+10= 30

⇒5x=20

⇒x=4

Hence, The solution is, the value of x = 4.

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