a sphere is not a polyhedron true or false?

TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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Answer:

- 9 ≤ − 3 x + 6

Step-by-step explanation:

- 9 ≤ − 3 x + 6

-6 from both sides

-15 ≤ -3x

divide by -3 from both sides

5 ≤ x

\(5.5b\leq 10.89\)

Divide both sides by 5.5:

\(\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}\)

Answer:

\(b\leq 1.98\)

Answer:

b ≤ 1.98

Step-by-step explanation:

Given equation,

→ 5.5b ≤ 10.89

Now the value of b will be,

→ 5.5b ≤ 10.89

→ b ≤ 10.89 ÷ 5.5

→ [ b ≤ 1.98 ]

Hence, value of b is 1.98.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

x represents the number of packs Ms. Evans bought.

1 pack has 12 crayons, then x packs have 12x crayons

She bought 240 crayons, then

12x = 240

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

Answer:

15,872 mm³

Step-by-step explanation:

bottom volume =  total volume - the volume on top

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

bot. vol = 16,384 mm³ - 512 mm³  = 15,872 mm³

actually it will be easier for you to know it if you convert it into decimal.

So

James = 4/5 = 0.8

Eric = 7/9 = 0.78

So James ate more

Answer:

James ate more of his banana

Step-by-step explanation:  You would convert the fractions into the same denominator.  And then  you can compare.

36/45   35/45

Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:43 8/15

Step-by-step explanation:45-2/3 is 44 1/5 then subtract 44 8/15 by 4/5 and you get 43 8/15

The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

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Step-by-step explanation:

2/3=0.66666666666

4/5=0.80000000000

10 rational numbers between them

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79

Answer:

67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

Starting with the left side, we can transform it into the right side.

  \(2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}\)

Thus, a vector function that represents the curve of intersection of the cone and the plane is: \(r(t) = tcos(t), 1 +\sqrt{ (1 - t^2)}, 1 -\sqrt{ (1 - t^2)}, tsin(t)\)

The vector function that represents the curve of intersection of a cone and a plane can be found by equating the equation of the cone and the equation of the plane, and then solving for x and y in terms of z.

Given the cone  \(z = \sqrt{(x^2 + y^2)}\)  and the plane  \(z = 1 + y\) , we have:

\(\sqrt{(x^2 + y^2) }= 1 + y\)

Squaring both sides, we get:

\(x^2 + y^2 = (1 + y)^2 = 1 + 2y + y^2\)

Solving for y, we get:

\(x^2 + y^2 - 2y = 1\)

\(y^2 - 2y + x^2 - 1 = 0\)

Using the quadratic formula, we get:

\(y = 1 + \sqrt{(1 - x^2)} , 1 + \sqrt{(1 - x^2)}\)

Thus, a vector function that represents the curve of intersection of the cone and the plane is:

\(r(t) = tcos(t), 1 +\sqrt{ (1 - t^2)}, 1 -\sqrt{ (1 - t^2)}, tsin(t)\)

where t varies between -1 and 1.

The resulting curve is a circle with center (0, 1, 0) and radius 1, which lies in the xy-plane and is perpendicular to the z-axis.

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Answer:

it is a decimal number. it is 8x smaller than 9.

Step-by-step explanation:

Mark brainliest pleae

The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.

Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,

The formula for interest is written as,

I = (PRT)/100

The value of the principal is $2,300 and the amount generated in six months is $2,762. Then the percentage rate is calculated as,

($2,762 - $2,300) = [$2,300 x r x (6/12)] / 100

46,200 = 1,150r

r = 40.17%

The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.

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Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

Answer:

50 adult tickets were sold that day.

Step-by-step explanation:

We will use "c" to represent child ticket and "a" to represent adult ticket

Using these info, we can make a system of equations:

\(\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.\)

Solve the system of equations using substitution.

a + c = 121

c = 121 - a

9.2a + 5.3 (121 -a) = 836.3

9.2a + 641.3 - 5.3a = 836.3

3.9a = 195

a = 50

50 adult tickets were sold that day.

Answer:

Yes

Step-by-step explanation:

These are the rules regarding polynomial graphs and their real zeros (solutions)

In the above graph we see that the graph touches the x-axis at x = 3. This means (x - 3)ᵃ  is a factor of the polynomial where p is an even number (2, 4, 6 etc)

That means x = 3 is a repeated real solution. It appears that the multiplicity is 2 so one factor of the polynomial is (x - 3)²

More inf o(ignore if you want)

The other real roots are x = -1 and x = 5 because the graph crosses the x axis at these two values of x. So the multiplicity of both factors ( x + 1) and (x - 5) is odd. Since at the crossover point, the graph is almost linear, we can safely assume that the multiplicity of the graph is odd at these points and equal to 1

Therefore the polynomial can be factored as
(x + 1)(x - 5)(x -  3)²

The degree of the polynomial is the sum of the multiplicities and is equal to 1 + 1 + 2 = 4 so it is a quartic polynomial of the form ax⁴ + bx³ + cx² + dx + e

After simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

Keep in mind that terms can be coefficients, constants, or variables. So, 1+1 is a straightforward example of an expression.

This equation has one operation, two constant terms, and (addition). x3 is another illustration.

So, the given expression is:

(4.57u − 14) − (−6 + 7.6u)

Then, solve as follows:

4.57u - 14 - ( -6 + 7.6u)

4.57u - 14 + 6 - 7.6u

4.57u - 7.6u = -3.03u AND -14 + 6 = -8

-3.03u - 8 (or -3.03u + (-8) )

Therefore, after simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

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Correct question:

Simplify the expression.

(4.57u − 14) − (−6 + 7.6u)

A. −3.03u + (−20)

B. −3.03u + (−8)

C. 12.17u + (−20)

D. 12.17u + (−8)

The solution of the compound inequality 3x + 5 > -1  or  -2x-7 > 5 is x > -2 or x < -6.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.  

A compound inequality is an inequality that combines two simple inequalities.

Therefore,

3x + 5 > -1  or  -2x-7 > 5

Let's solve the inequality individually

3x + 5 > -1

3x > -1 - 5

3x > -6

x > -6 / 3

x > -2

Therefore,

-2x - 7 > 5

-2x > 5 + 7

-2x > 12

x > 12 / -2

x < -6

Hence,

x > -2 or x < -6

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The hypothesis is

Scientific investigations employ a crucial concept known as the null hypothesis, which asserts that there is no apparent correlation between analyzed data or variables.

The null tells us that the standard deviation is equal to 2.6

Concurrently, an alternate theory sets forth that an effect does indeed exist within the population being investigated. This differentiation allows researchers to draw meaningful conclusions from carefully collected empirical evidence.

H1: SD < 2.6

There is insufficient data to solve for the test stat

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The value of the composition of functions are

a) f o g ( 5 ) = 1315

b) g o f ( 5 ) = 59

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the value of the the function be f ( x ) = x² + 6x

Let the value of the function g ( x ) = x + 4

Now , the composition of functions is given by

f o g ( 5 ) is given by

g ( 5 ) = 5 + 4 = 9

So , the value of f ( 9 ) = ( 9 )² + 6 ( 9 ) = 81 + 54 = 135

Therefore , the value of f o g ( 5 ) = 135

Now , the composition of functions is given by

g o f ( 5 ) is given by

f ( 5 ) = ( 5 )² + 6 ( 5 ) = 25 + 30 = 55

Now , the value of g ( 55 ) = 55 + 4 = 59

Therefore , the value of g o f ( 5 ) = 59

Hence , the composition of functions are solved

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Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

The probability that they both get a red apple is, 15/28

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

The probability of Ed's friend grabbing a red apple is,

= 6 red apples / (2 green apples + 6 red apples)

= 6/8

= 3/4.

Then, the probability of Ed grabbing a red apple from the remaining apples is,

= 5 red apples / (2 green apples + 5 red apples)

= 5/7.

So, the probability that both Ed and his friend get a red apple is,

= 3/4 x 5/7

= 15/28

Hence, the probability is 15/28

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Hello there! :)

\(\sqrt{81}\)

It's rational

it's an integer

Hope it helps!

~Just an emotional teen listening to her favorite song "Try Everything"

\(SilentNature\)

Step-by-step explanation:

(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7