Kyle buys a mobile phone that weighs 310 g to 2 significant figures.
He puts the phone inside a protective case that weighs 15.6 g to 1 decimal
place.
Work out the smallest possible total weight, in grams (g), of the phone and
case combined.

Based on the triangle inequality theorem, the list that could not be the measures of lengths of the three sides of a give triangle is: D. 12 yd, 35 yd, 20 yd.

The triangle inequality theorem expresses the relationship between the three lengths of sides that can form a triangle. If the sides are are a, b, and c, it states that:

a + b > c

a + c > b

c + b > a.

Considering this set of three sides, 5cm, 12 cm, 15 cm, we have:

5 + 12 > 15

17 > 15 [true]

5 + 15 > 12

20 > 12 [true]

12 + 15 > 5

27 > 5 [true]

Therefore, the measures of lengths 5cm, 12 cm, 15 cm, will form a triangle.

Same applies to 2 ft, 6 ft, 5 ft and 11 mi, 4 mi, 12 mi, except 12 yd, 35 yd, 20 yd.

This is because, 12 + 20 > 35 is not true.

Therefore, the answer is: D. 12 yd, 35 yd, 20 yd

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Complete Question:

Which list could not be the measures of lengths of the three sides of a given triangle?

A. 5cm, 12 cm, 15 cm

В. 2 ft, 6 ft, 5 ft

C. 11 mi, 4 mi, 12 mi

D. 12 yd, 35 yd, 20 yd

For a quadratic function f(x) = ax² + bx + c, we can find the minimum and maximum value using the formula -b/2a or by graphing the function.

We know that the general form of quadratic function is f(x) = ax² + bx + c ; a ≠ 0

The graph of quadratic function is a parabola. The graph is parabola that either opens upward or downward.

For a quadratic function is f(x) = ax² + bx + c,

if a is positive (a > 0) then the parabola opens upward.

In this case you will be finding the minimum value of f(x) at the vertex of parabola.

if a is negative (a < 0), then the parabola opens downward.

In this case you will find its maximum value of f(x) at the vertex of parabola.

Also, the value of -b/2a will tell you the minimum or maximum value of f(x) which is the vertex of the parabola.

Therefore, to find the minimum and maximum of a quadratic function f(x) = ax² + bx + c :

1) find vertex of function from the graph

2) use formula -b/2a

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Answer:

Step-by-step explanation:

Amount sold = $23000

Percentage rate = 15%

Total salary = Amount sold × Percentage rate = $23000 × (15 / 100) = $3450

Answer is $3450

The option that has the statement that best describes the the meaning of the y-intercept of the regression line is the option;

When the attendance is 0, the predicted number of wins is 15.2

A regression is a representation of a linear relationship between an input and an output variable. It is a model of the relationship between the variables presented in a linear form.

The regression equation is; [tex]\hat {y}[/tex] = 4.9·x + 15.2

Where:

x = The game attendance (in thousands)

[tex]\hat{y}[/tex] = The predicted number of times the team wins

The y-intercept represents the point at which the graph of the regression line equation intersects or touches the y-axis, which is the point where the x-value is 0, therefore, at the y-intercept, we get;

x = 0, [tex]\hat{y}[/tex]  = 4.9 × 0 + 15.2 = 15.2

At the y-intercept, [tex]\hat {y}[/tex] (the predicted number of wins) = 15.2

The description of the y-intercept is therefore, that when there is 0 attendance, the predicted number of wins of a base ball team is 15.2

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Answer: 0.04

Step-by-step explanation:

Divided by 1000 mean we will move the decimal to the left 3 times

So 40 divided by 1000= 0.04

Answer:

0.04

Step-by-step explanation:

There is no such thing like Sound argument that is not valid.

What is an argument that is valid?

Any argument whose conclusion is not supported by its premises is invalid (i.e., faulty). That is, the conclusion could still be wrong even though all the premises are true.

Because validity of the argument is a requirement for soundness

An argument is valid and contains all true premises if it is sound. The argument is sound, so if all of the premises are true, the conclusion must also be true. It follows that the conclusion of a sound argument must be true since all of its premises are true.

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The coach can select the players in 1081575 ways .

A combination is a technique for finding the number of possible arrangements in a set of items where the order of the selection is irrelevant. .

The formula for determining the number of possible arrangements by selecting only a few objects from a set with no repetition is expressed mathematically as follows:

[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]

Where:n denotes the total number of elements in a set,

k denotes the number of selected objects

! - the factorial

Factorial (noted as "!") is the sum of all positive integers that are less than or equal to the number preceding the factorial sign.

For instance, [tex]3! = 1 * 2 * 3 = 6[/tex].

Given,

Total number of players,n = 25

Number of selected players,r = 8

Number of ways that players are selected is determined by,

[tex]25C_8=\frac{25!}{8!(25-8)!}\\\\=\frac{15511210043330985984000000}{(40320)*(355687428096000)}\\\\=1081575[/tex]

Thus, by combination, the selection can be done in 1081575 ways.

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Your question is incomplete  , here is the complete question.

There are 25 players in a basketball team. The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel?

The tip of her shadow moving when she is 35 feet from the base of the pole is 8.77 feet.

Let H = the height of the pole.

h = the height of the woman.

x = the length of the woman's shadow.

s = the distance from the pole to the woman.

By similar triangles,  H/h = (s + x)/x  or  Hx = h(s + x).

Differentiating, H dx/dt = h(ds/dt + dx/dt)

⇒ 17 dx/dt = 6(6 + dx/dt)

                  = 36 + 6 dx/dt

                  = 13 dx/dt

                  = 36

⇒ dx/dt = 36/13 ft/sec = 2.77 ft/sec for how fast her shadow is lengthening.

The speed of the tip of her shadow would be this speed added to her traveling speed: 2.77 + 6 = 8.77 ft/sec.

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Answer:

X: -1 -3 -5

Y: 1 3 5

Step-by-step explanation:

Divide y by x for all the points. If the quotients are different, it is not proportional. If the quotients are equal, it is a proportional relationship.

A.

3/(-3) = -1

2/(-4) = -1/2

Not Proportional

B.

1/(-1) = -1

3/(-3) = -1

5/(-5) = -1

Proportional

C.

-5/(-2) = 5/2

-7/(-4) = 7/4

Not proportional

D.

0/(-2) = 0

-1/(-3) = 1/3

Not Proportional

the solution for the given expression 11.5x + 10.9y  is 145.3

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

11.5x + 10.9y

Here x = 6 and y = 7

11.5*6 + 10.9*7 = 145.3

Hence, the solution the given expression is 145.3

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The range of the function f(x) = 5 -10x for domain {-1, 2, 4}  is { 15, -15, -35}

A function's domain and range are its constituent parts. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The collection of photos is the function's range. In general, a function's domain and range are denoted as follows:

Domain(f) = {x ∈ R} and range(f)={f(x) : x ∈ domain(f)}

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range. However, f(x) = 2x is often defined for all real values of x, and as a result, its domain is the set of all real numbers, which is represented by  (-∞, ∞). The general formulae for determining the domain of various types of functions are listed below. The set of all real numbers, or R, is used here.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output. Set of even natural numbers is the range. The components of the co-domain that are mapped are known as the pictures, while the elements of the domain are known as pre-images. The set of all pictures of the domain's elements in this case serves as the function's range, as does the set of all of its outputs.

Domain of the function x = {-1,2,4}

The function is  f(x) = 5 - 10x

range when x = -1

f(x) = 5 - 10*(-1) = 15

when x = 2

f(x) = 5 - 10* 2 = -15

and x= 4

f(x) = 5 - 10*4 = -35

The range of the function for domain {-1, 2, 4}  is { 15, -15, -35}.

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The range of the function f(x) = 5 -10x for domain {-1, 2, 4}  is { 15, -15, -35}

What is Domain and Range of a function ?

The domain of a function is the set of all possible inputs for the function. It is the set of all x-values which will make the function "work", and will output real y-values. The range of a function is the set of all possible outputs of the function. It is the set of all y-values which can be produced by the function for the given set of x-values. In other words, it is the set of values that result when the function is applied to all the elements of the domain. In order for a function to be defined, both the domain and the range must be specified.

Domain of the function x = {-1,2,4}
The function is  f(x) = 5 - 10x
range when x = -1
f(x) = 5 - 10*(-1) = 15
when x = 2
f(x) = 5 - 10* 2 = -15
and x= 4
f(x) = 5 - 10*4 = -35
The range of the function for domain {-1, 2, 4}  is { 15, -15, -35}.

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The proof that shows that ΔPRS ≅ ΔQSR by HL congruence theorem is explained below.

The HL congruence theorem can be used to prove that two triangles are congruent to each other if we can show that the two triangles are right triangles that have a pair of corresponding congruent legs, and a pair of congruent hypotenuse.

The proof for stating that triangles PRS and QSR are congruent is given below.

Statement                                          Reasons                                                  

1. QS ≅ PR, PS ⊥ RS, QR ⊥ RS          1. Given

2. <RSP and <SRQ are right angles  2. Definition of perpendicular

3. SR ≅ RS                                          3. Reflexive property of congruency

4. ΔPRS ≅ ΔQSR                                4. HL

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Answer:

10. Given a, b E Z, if a²(b² - 2b) is odd, then both a and b must be odd numbers. This is because the only way for the product of two numbers to be odd is if both of the numbers are odd. In other words, if a and b are both even, then a²(b² - 2b) would be an even number, and if one of a and b is odd and the other is even, then a²(b² - 2b) would be an even number. So the only way for a²(b² - 2b) to be odd is if both a and b are odd.

11. Given m, n E Z, if 25 + mn is divisible by 5, then either m or n must be divisible by 5. This is because if both m and n are not divisible by 5, then the product mn will not be divisible by 5, and 25 + mn would not be divisible by 5. However, if either m or n is divisible by 5, then the product mn will be divisible by 5, and 25 + mn would be divisible by 5. So if 25 + mn is divisible by 5, then either m or n must be divisible by 5.

12. If m, n E Z and m + n is even, then m² + n² is also even. This is because the sum of two even numbers is always even, and the square of an even number is always even. So if m + n is even, then both m and n must be even, and m² and n² would both be even. Therefore, the sum m² + n² is also even.

13. An integer n is even if and only if n² + 2n + 9 is odd. This is because the square of an even number is always even, and the sum of two even numbers is always even. So if n is even, then n² and 2n are both even, and the sum n² + 2n + 9 would be odd. On the other hand, if n² + 2n + 9 is odd, then the sum of the first two terms, n² + 2n, must be even. Since the square of an even number is always even, this means that n must be even. So n is even if and only if n² + 2n + 9 is odd.

14. If a is an odd integer, then a² + 3a + 5 is also odd. This is because the product of two odd numbers is always odd, and the sum of two odd numbers is always even. So if a is odd, then a² and 3a are both odd, and the sum a² + 3a + 5 would be even. Since the sum of two odd numbers is always even, this means that a² + 3a + 5 is odd. Therefore, if a is an odd integer, then a² + 3a + 5 is also odd.

Step-by-step explanation:

Answer:

  y = 8

Step-by-step explanation:

Given N(-3,-7), O(-4,-2), P(1, -7), and Q(-2, y), you want to find y such that NO ║ PQ.

When we plot the points, we see that point O is 1 unit left and 5 units up from point N. Point Q is on a line 3 units left of P, so it will need to be 3×5 = 15 units up from P in order for PQ to have the same slope as NO:

  y = -7 +15 = 8

The value of y is 8; the point Q is (-2, 8).

Answer: 6 ft 4 inches

Step-by-step explanation:

Answer:

Linked below.

Step-by-step explanation:

To solve, first line up your numbers. Then, multiply the ones place of the digit by the numbers on top individually. Write this below.

Do the same with all other places except add a zero each time there is one more row.

Answer:

-16

Step-by-step explanation:

what grade are you in bro?

The greatest whole number possible length for the given measures of triangle is 23 cm.

As given in the question,

Measure of two side-length of a given triangle are :

Let 'x' be the side length = 8.5cm

And 'y' be the side length = 15cm

'z' be the side length of the third side of a triangle.

Sum of two sides is greater than third side and difference of two sides is smaller than the third side.

y - x < z < y + x

⇒ 15 - 8.5 < z < 15 + 8.5

⇒ 6.5 cm < z < 23.5cm

Greatest whole number representing length of the third side of a triangle is  less than 23.5 .

⇒ z = 23cm

Therefore, the length of the third side of a triangle represented by greatest whole number is equal 23cm.

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Answer:

100

Step-by-step explanation:

70 % is .7 in decimal

   .7 * x = 70    divide both sides by .7

     x = 100

Step-by-step explanation:

you mean

70% of x = 70

right ?

you know that the "whole" is represented by 100% ?

this is easy here, but in general, when in doubt, find either 100%, calculate 1% as 100%/100 and find the desired %, or you find 1% directly and calculate the needed % (incl. 100%) out of this.

so, we know, 70% = 70

that means

1% = 70%/70 = 70/70 = 1

and then

100% = 1%×100 = 1×100 = 100

so,

70% of 100 = 70

now you see, why I said this is easy in this case here. because % and the absolute numbers have the same units. so, this goes 1:1.

The area of the parallelogram that has a base of 98 in. and a height of 5.6 in. is calculated as: 54.88 in.².

The area of a parallelogram is calculated as the product of its base length and its height. That is:

Area of parallelogram = base × height.

From the image given, we have the given dimensions of the parallelogram that we can use to find its area:

Base = 9.8 in.

Height = 5.6 in

Plug in the values:

Area of parallelogram = 9.8 × 5.6

Area of parallelogram = 54.88 in.²

Therefore, the exact answer is, 54.88 in.².

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The scale factor used in making the giant duck that duck measures 26 by 20 by 32 meters is 225

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

For the duck the measures 26 by 20 by 32 meters represent the factored image, the original image is 3.5 inches for the lowest

comparing the lowest for both the original size and the giant duck

converting 3.5 inches to meters 0.0889 meters

let the scale factor be k

solving for the factor

0.0889 * k = 20

k = 20 / 0.0889

k = 224.97

k = 225

This factor for the giant duck is 225

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Answer:

5

Step-by-step explanation:

2 minus -3 is 5

Answer:c

Step-by-step explanation:

answer

20hours 4 min 55sec

If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle. Remember that you create a contrapositive by inverting and swapping both terms.

A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

If a triangle lacks one angle greater than 90°, it is not an obtuse triangle. Remember that a contrapositive is formed by inverting and swapping both terms. If you have if A then B, then the contrapositive is if not B then not-A. Because you've been given "If a triangle is obtuse, then

It has one angle with a measure greater than 90°," the converse would be "If a triangle has no angles with a measure greater than 90°, it is not an obtuse triangle." So, check through the options and see what fits in intent, even if it's not phrased precisely the same. 

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A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. The slope of (-1/4, 2/5) is 5/4.

Given two points (x1, y1) and (x2, y2), the slope can be calculated using the formula:

Slope = (y2 - y1) / (x2 - x1)

Therefore, the slope of (-1/4, 2/5) is:

Slope = (2/5 - (-1/4)) / (-1/4 - (-1/4))

Slope = (2/5 + 1/4) / 0

Slope = (3/4) / 0

Slope = 5/4

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Answer: 15,000

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

-4 > 10-7x

-4 - 10 > -7x

-14 > -7x

Inequality reverses when dividing or multiplying a negative number.

-14/-7 < x

2 < x

x > 2

Answer: Ragu ran 3/5 or 60% of the race in 24 minutes. [EXTRA: He runs 20% of the race every 8 minutes, which means that it would take him 40 minutes to complete the entire race (this answer is extra if you need it)]

Step-by-step explanation: none, basic mathematics