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.
What is the Triangle Inequality Theorem?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
0.25r+0.6s
show work
The verbal expression of 0.25r+0.6s is 0.25 multiplied by r plus 0.6 multiplied by s
What is an algebraic expression?An algebraic expression can be described as an expression that is made up of coefficients, factors, terms, constants and variables.
These expressions are also known to be made up of some arithmetic and mathematical operations, which includes;
SubtractionMultiplicationDivisionAdditionBracketParentheses, etcExamples of algebraic expressions:
2x + y
3x + 7
4z + 1
Given the expression:
0.25r+0.6s
It is written in words as;
0.25 multiplied by r plus 0.6 multiplied by s
Hence, algebraic expressions are made up of constants and terms
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Complete question:
0.25r+0.6s. What is the verbal expression
what is the probability????
How do you write a function from a function table?
A function is a mathematical expression that describes the relationship between an input and an output.
The function table is a visual, graded table with cells for input and cells for output that are organized into rows and columns.
Function tables have three variables components. There is the input, the function and the output. Function tables are created so that one of the three components is unknown and the other two serve as the clues to solving the table.
The rule of a function table is the mathematical operation that describes the relationship between the input and the output. The rule must be consistently applied to all input/output parts.
A traditional function table is made using two rows, with the top row being the input cells and bottom row being the ouput celss. Each column represents a signal input/output relationship.
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Describe the end behavior of the function -2x^3-13x^2+8x+52
Answer:
[tex]\text{as x} \to \infty, \ \text{y} \to -\infty\\\\\text{as x} \to -\infty, \ \text{y} \to \infty[/tex]
Rises to the left; falls to the right
============================================================
Explanation:
The leading term is what determines the end behavior of any polynomial function.
Given polynomial: -2x^3-13x^2+8x+52Leading term: -2x^3The leading term has the largest exponent. The other terms will have no effect on the end behavior.
As x gets really large in the positive direction, so does x^3. But the -2 out front will flip to have y go to negative infinity.
Therefore: [tex]\text{as x} \to \infty, \ \text{y} \to -\infty[/tex]
We can informally think of this as "falls to the right".
---------------------------
As x heads to the left, x^3 becomes further negative. But -2 out front makes -2x^3 to be positive.
So [tex]\text{as x} \to -\infty, \ \text{y} \to \infty[/tex] aka "rises to the left".
Whatever x does, y does the opposite. If x goes positive, then y goes negative and vice versa.
-------------------------
The end behavior is therefore
[tex]\text{as x} \to \infty, \ \text{y} \to -\infty\\\\\text{as x} \to -\infty, \ \text{y} \to \infty[/tex]
x and y are opposite.
We can summarize that notation as saying "rises to the left, falls to the right".
See the graph below. I used GeoGebra to make the graph, but you can use Desmos or any other tool you prefer.
How do you solve a 3 step word problem?
The steps to solve a word problem are to read, plan and solve the problem.
1. Read: After reading the issue, decide what the question is trying to get to.
Read the issue at least twice.
Highlight or highlight important words, phrases, and numbers. Put an end to unimportant information.
2. Plan: Consider what the narrative is requesting of you. What facts are provided to you, and what do you need to learn?
Make a drawing.
Keywords may be underlined or circled. (Use crayons or highlighters to color-code important numbers and words.)
Put your own words in the question's place.
3. Solve: Which approach—addition, subtraction, multiplication, or division—could you use to uncover the information that is missing?
Create and solve a numerical sentence.
Employ counters.
Produce charts
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6b 4r repreent the total cot of the rice and bean Gabriel bought. If he return 2 bag of bean and 1 bag of rice, the expreion that repreent the total cot after the return i (6b 4r) – (2b r). What i thi expreion after implifying?
The expression after simplifying is 4b + 3r
What is Expression ?
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. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
According to question
The total cost of the rice = 6b
The total cost of the bean = 4r
The total cost of the rice and bean Gabriel bought = 6b + 4r
The total cost after the return = (6b 4r) – (2b + r)
Simplifying
⇒ (6b + 4r) – (2b + r)
⇒ (6b + 4r) – 2b - r
⇒ 6b + 4r – 2b - r
⇒ 6b – 2b + 4r - r
⇒ 4b + 3r
hence, The expression after simplifying is 4b + 3r
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The table shows the distance traveled by a runner. Use the table to find the constant of proptioaltiy
The constant of proportionality representing the distance travelled by the runner is equivalent to 9.1.
What is the general equation of a Straight line? How it can be used to represent the constant of proportionality?The general equation of a straight line is -
y = mx + cm → is slope of line which tells the unit rate of change of [y] with respect to [x].c → is the y - intercept i.e. the point where the graph cuts the [y] axis.The equation can also be used to represent direct proportionality as -
y = mxm = y/xm is called constant of proportionality
Given is a table that shows the distance traveled by a runner.
We can write the constant of proportionality as -
m = (13.65 - 4.55)/(1.5 - 0.5)
m = 9.1
Therefore, the constant of proportionality for the data that shows the distance travelled by the runner will be 9.1.
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twice a number is equal to negative four. which equation could be used to find the number? 2 n - 4 2 n
Twice a number is equal to negative four :
2n = -4
Equation:
An equation is a formula that expresses equality by connecting two expressions with an equal sign '='. Equations and their cousins in other languages may have subtly different meanings. For example, in French an equation is defined as containing one or more variables, but in English any formula in its proper form consisting of two equations joined by an equal sign is an equation.
The equation resembles a weighted scale. When two bowls have the same weight (such as grain), the two weights balance the scale and are said to be equal. If you remove a certain amount of grain from one pan of the scale, you must remove the same amount of grain from the other pan to keep the scale balanced. More generally, the equation remains in equilibrium if the same operation is performed on both sides.
According to the question:
If you wanted to solve your equation:
2x = -4
⇒ 2x/2 = -4/2
Divide both sides by 2
For getting the value of x only:
x = -2
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i need this quick ??????????????????????????????????????????
The missing terms will be 0.5, 2, and 7.5 respectibily.
What is equivalent ratio?
The concept of a ratio in mathematics is the divisional comparison of two quantities, the antecedent and consequent. As an illustration, each ingredient must be added according to a ratio during cooking. So, we may argue that a ratio is employed to represent one quantity as a portion of another. The ratio can be written as a fraction as well. If the ratio a:b is a fraction, its form is a/b. As a result, it is simple to compare two or more equivalent ratios expressed as equivalent fractions.
1st ratio is 8:16 = 1/2
So the following terms will be 1:0.5
For 4 it will be 4:2.
For15 it will be 15:7.5.
Hence, The missing terms will be 0.5, 2, and 7.5 respectibily.
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Where d is the distance traveled by an object moving at speed r in time t
Find d if r = 10 m/sec. t = 15 sec.
A) 5m
B)25m
C) 150m
Answer:
Option C is the correct answer
C) 150 m
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = Speed × Time
d = 10 × 15
d = 150 m
Thus, The speed of the object is 150 m.
Answer:
d=150m
Step-by-step explanation:
Speed = Distance /Time
10= d/155
d= 150m
. The perimeter of a rectangle is 50 inches. Its length is 3 times its width. Write and solve equation to determine the length and width of the rectangle. Check your solution.
18.75 inches is the length of the rectangle and 18.75 inches is the width of rectangle.
What is Area of Rectangle?
The area of Rectangle is length times of width.
The perimeter of a rectangle is 50 inches.
Perimeter=2(Length+Width)
Length=3W
Perimeter=50 inches
50=2(3W+W)
50=2(4W)
50=8W
Divide both sides by 8
50/8=W
W=6.25
Length=3(6.25)=18.75.
Hence, the length of rectangle is 18.75 inches and width is 6.25 inches.
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How Do You Solve 3 linear equations with 2 variables?
The steps to solve the 3 linear equations with 2 variables is shown below .
In the question ,
it is asked that how can we find the solution of 3 linear equations that have 2 variables .
Step (1) : Pick any two pair of linear equations ,
Step(2) : Then use addition and subtraction to eliminate the Same Variable from the equations .
Step(3) : In step 2 we will get the value of 1 variable ,
Step(4) : Substituting the value of the variable in Step(2) in the third linear equation ,
we will get the value of other variable also .
Therefore , the value of both the variable can be found by the above steps .
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an agricultural field test compares two varieties of corn, silver queen and country gentlemen. the researches takes 10 plots and divides each of these plots in half. each plot has a similar amount of sun light, shade, quality of soil and irrigation. the variety of corn is randomly chosen for each half of a plot. after the harvest, the yield of corn is measured for each half plot at each location. the yield from silver queen was compared to the yield of country gentlemen. note: differences were taken by taking silver queen - country gentlemen the 95% confidence interval for the mean is (-0.223, 0.988). what can we expect will be the p-value for a two sided test using this data?
The solution to this problem is the p-value must be higher than 0.05.
Confidence interval definition:A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.
Here ,
In this given problem we can see confidence interval has 0 in it.
So,
Since the confidence interval comprises 0, the null hypothesis should be rejected.
When the p-value exceeds the level of significance, the null hypothesis is only rejected.
Since alpha=0.05 in this case, the p-value must be higher than 0.05.
Thus, the p-value must be higher than 0.05.
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what is 3/2 divided by 4
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
What are the conditions for mapping the strip transformation pattern onto itself?The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees. The second way is to reflect the strip pattern across a vertical line.Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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A movie theater ha a eating capacity of 151. The theater charge $5. 00 for children, $7. 00 for tudent, and $12. 00 for adult. There are half a many adult a there are children. If the total ticket ale wa $ 1086, How many children, tudent, and adult attended?
According to the given statement, there were 58 children, 29 adults and 64 students.
What is an equation?Algebraically speaking, an equation is indeed a statement that establishes the equivalence of two mathematical equations.
Briefing:Let there be x number of children, y number of students and x/2 number of adults. Forming the first equation based on number of students -
x + y + x/2 = 151 : Equation 1
Multiply equation 1 with 2
2x + 2y + x = 302 : Equation 2
3x + 2y = 302 : Equation 3
y = (302 - 3x)/2 : Equation 4
Forming second equation based on cost -
5x + 7y + 12x/2 = 1086 : Equation 5
Rewriting this equation
5x + 7y + 6x = 1086 : Equation 6
11x + 7y = 1086 : Equation 7
Keep the value of y from equation 4 in equation 7
11x + 7(302 - 3x)/2 = 1086
11x + (2114 - 21x)/2 = 1086
22x + 2114 - 21x = 2172
x = 2172 - 2114
x = 58
Now,
y = (302 - 3x)/2
y = (302 - 3×58)/2
y = 128/2
y = 64
Number of adults = 58/2
Number of adults = 29
Thus, there were 58 children, 29 adults and 64 students.
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Heidi walks 3 miles per hour and chris walks 20,000 feet per hour. About how much faster is Chris walking than Heidi, in feet per minute?
(1 mile=5,280 feet)
Answer:
his gives us that Chris is walking 69 feet per minute faster than Heidi.
Step-by-step explanation:
1 mile is equal to 5,280 feet, we can multiply 3 by 5,280 to find that Heidi is walking 15,840 feet per hour.
Next, we need to convert both speeds to feet per minute. Since there are 60 minutes in an hour, we can divide both speeds by 60 to convert them to feet per minute. This gives us that Heidi is walking 264 feet per minute and Chris is walking 333 feet per minute.
Finally, to find out how much faster Chris is walking than Heidi, we can subtract Heidi's speed in feet per minute from Chris's speed in feet per minute.
What is to 4285 feet in yards
Answer:
1428.33333 yards
Step-by-step explanation:
1 foot = 0.33333 yards
4285 feet = 4285*0.33333 = 1428.33333 yards
what is the circumference of a circle that has 12 as a diameter, use 3.14 as pi and round to nearest tenth
Answer:
37.7
Step-by-step explanation:
Circumference = π × d = 3.14 × 12 = 37.68
Answer:
37.7
Step-by-step explanation:
circumference = πd
12(3.14) = 37.7 (nearest 1 d.p.)
write a polynomial function f of least defgree that has rational coefficients, a leading coefficient of 1, and the given zeros
A polynomial function f is equal to x^3- 11x^2+41x- 51 of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
The degree of this polynomial is 3 and the leading coefficient is 1. Three zeros are 3, 4+i, 4-i bc, and a-bi if a+bi is zero, also known as the conjugate postulate. With this information, we can say that the factors are (x-3)(x-(4+i) )(x-(4-i)).
When we start multiplying, we group like this
(x-3)( (x-4) + i )( (x-4) -i )
Multiply the second two factors first.
(x-4)^2 - (i)^2 [This is the difference of squares (a+b)(a-b)].
We know that
i^2 = -1
= x^2 -4x -4x +16 - (-1)
= x^2-8x+16+1
= x^2 -8x +17
Don't forget (x-3).
Solving complete factors
(x-3)(x2-8x+17)
= x^3 -8x^2 +17x -3x^2 +24x -51
= x^3-11x^2+41x-51
This is the final equation of the polynomial.
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Find how many years it takes for money to quadruple when invested at an annual interest rate of 1.8% compounded continuously.
Answer:
It takes 38.5 years for money to quadruple when invested at an annual interest rate of 1.8% compounded continuously.
w(n)=4n-3; Find w(n+4)
Answer:
w(3n)=12n+2
Step-by-step explanation:
. Explanation: to evaluate w(3n) substitute n=3n into w(n). ⇒w(3n)=4(3n)+2=12n+2.
Ivanna runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
Answer:
Step-by-step explanation:
66 minutes
(5 * (4/5) ^ 2 * (3/5))/3
I’m looking for a step by step explanation for the answer in fraction form?
Answer:
[tex]\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\frac{5*(\frac{4}{5})^{2}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5}{1} *\frac{16}{25}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5*16*3}{1*25*5} }{3}[/tex]
= [tex]\frac{\frac{240}{125} }{3}[/tex]
= [tex]\frac{\frac{48}{25} }{3}[/tex]
= [tex]\frac{48}{25} /\frac{3}{1}[/tex]
= [tex]\frac{48}{25} *\frac{1}{3}[/tex]
= [tex]\frac{48*1}{25*3}[/tex]
= [tex]\frac{48}{75}[/tex]
= [tex]\frac{16}{25}[/tex]
Help! Show work please thank you!
The correct statement is:
x= 125, 180 - (63+62) =55 and 180-55=125
What are interior angles?
An Interior Angle is an angle inside a shape.
The basic polygonal shape of a triangle has three sides and three interior angles. It is one of the fundamental shapes in geometry . It has three connected vertices. Triangles can be divided into a variety of categories according on their sides and angles.
The sum of the diagonal internal angles in a triangle determines its outer angle.
And also,
In a triangle, the sum of the interior angles is always 180°.
So, x= 125 ( Because 63+62=125 ) , 180 - (63+62) =55 and 180-55=125
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Are 9(4 2 x) and 36 2 9x equivalent expressions
Yes, the given expressions are equivalent.
What is the equivalent expression?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
We have,
9(4 - x)
and 36 - 9x
Are these equivalent expressions?
9(4 - x) = 36 - 9x
36 - 9x = 36 - 9x
So, LHS = RHS = 36 - 9x
Therefore, the expression 9(4 - x) and 36 - 9x are equivalent expressions.
Hence, yes the given expressions are equivalent.
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The measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle. Find the measure of each acute angle.
The measure of each of the acute angles of the right triangle is 32° and 58°.
A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).
Let x = measure of one of the acute angles
If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then
measure of the other acute angle = 2x - 6
The sum of all the angles of any triangle is equal to 180°. Hence,
90° + x + 2x - 6 = 180°
Solve for the value of x.
3x = 96
x = 32
Solve for the measure of the other acute angle.
2x - 6 = 2(32) - 6 = 58
Hence, the two angles are 32° and 58°.
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b. What percent of the votes does the least popular mascot receive?
The least popular mascot receives
Explain your reasoning.
BI U T² T₂
% of the votes.
c. There are 124 votes total. How many votes does tiger receive?
Tiger receives
votes.
An economics graduate student in the united states earns an $18,000 stipend per year. the u.s. sees significant inflation. how might the student react?
The student react that to ask for a cost-of-living increase to her stipend when a graduate student studying economics receives an annual stipend of $18,000. U.S. inflation is quite high.
Given that,
In the United States, a graduate student studying economics receives an annual stipend of $18,000. U.S. inflation is quite high.
We have to find how may the pupil respond.
We know that,
The term "inflation" describes an increase in the cost of any goods or services.
A history graduate who was living in the United States at the time was given an allowance of $18,000. However, the United States economy is negatively impacted by significant inflation. As a result, the price of goods and services that are available to the public rises quickly. Nowadays, everyone has to spend more on everything. As a result, the graduate student must request that the cost of living be added to the stipend because they must now spend more on living expenses.
Therefore, The student react that to ask for a cost-of-living increase to her stipend when a graduate student studying economics receives an annual stipend of $18,000. U.S. inflation is quite high.
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The water level in a swimming pool increased from 4.5 feet to 6 feet what is the percent increase in the water rounded to the nearst tenth of a percent
Answer: 46%
Step-by-step explanation: