what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19
Answer: 11
Step-by-step explanation:
X=(a+b)/2
2x=a+b
B=2+-a
B=2(19)-27
B=3-27
B=11
The. system shown is ____.
consistent
equivalent
inconsistent
Answer:
inconsistant mi boii
Step-by-step explanation:
The given system of equations is inconsistent.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the graph of three lines as shown.
A system of equations is called an inconsistent system of equations if there is no solution. Since, the given lines do not intersect at one common point, hence the given system of equations is inconsistent.
Therefore, the given system of equations is inconsistent.
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The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day
The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.
Let us consider any two points.
Let us consider (1,30) and (2,60)
We have to determine the rate of change which is basically termed as "slope".
Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.
Therefore, rate of change or cost per day =
Change in y [tex] \div [/tex] Change in x
= [tex] \frac{60-30}{2-1} [/tex]
= 30
Therefore, the rate of change or cost per day is $30 per day.
2(3x+4)-5(1-2x)=7(2x-3)+12 in stages
A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.
The number of cubic yards of concrete does Joey need to buy is 5 cubic yards.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, a platform has a volume of 135 cubic feet.
One cubic yard is equal to 27 cubic feet.
Now, number of cubic yards
= 135/27
= 5 cubic yards
Therefore, the number of cubic yards of concrete does Joey need to buy is 5 cubic yards.
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"Your question is incomplete, probably the complete question/missing part is:"
A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.
How many cubic yards of concrete does Joey need to buy?
PLS HELP QUICKLY :V) Anna brings her granddaughter to a photo studio to take spring pictures. For the picture, they have a choice of a background scene, a toy prop, and an outfit. The studio has 12 different background scene, 36 toy props, and 15 outfits to choose from.
How many possible outcomes of a background scene, a toy prop, and an outfit does Anna have?
To calculate the total number of possible outcomes for the photo shoot, you multiply the number of background scenes (12), toy props (36), and outfits (15), which results in 6,480 possible combinations.
The question posed involves determining the number of possible combinations of a background scene, a toy prop, and an outfit in a photo studio with a set number of each option available. To find the total number of possible outcomes, one should multiply the number of choices for each category together. In this case, Anna has 12 different background scenes, 36 toy props, and 15 outfits to choose from.
Therefore, the calculation is as follows:
Number of background scenes: 12
Number of toy props: 36
Number of outfits: 15
By multiplying these numbers, we determine the total number of possible outcomes:
12 (backgrounds) times 36 (props) times 15 (outfits) = 6,480 possible outcomes.
PLEASE HELP ASAP!!!!!!!!!
(Please help~! 20 Points~!)
The solution to 8x = 32 is x = ___.
3
4
5
6
Make a the subject of the formula: v^2=u^2+2as. Please help & show working
What are two solutions of 3 + 4 |x/2 + 3| = 11?
If 8900 is invested at 3.8%
If a force of 60 N is exerted on a 15 kg object, calculate the acceleration that the object undergoes. ________ m/s2 4 900 0.25 40
Answer: The correct option is
(A) 4 m/s.
Step-by-step explanation: We are given that a force of 60 N is exerted on a 15 kg object.
We are to calculate the acceleration that the object undergoes.
From Newton's second law of motion, we have
[tex]F=ma,[/tex] where m is the mass of the object, a is the acceleration and F is the force exerted.
For the given object, we have
F = 60 N and m = 15 kg.
So, we get
[tex]F=ma\\\\\Rightarrow 60=15\times a\\\\\Rightarrow a=\dfrac{60}{15}\\\\\Rightarrow a=4.[/tex]
Thus, the required acceleration that the object undergoes is 4 m/sec.
Option (A) is CORRECT.
Which term describes what a manufacturer spends for goods or services?
a)cost
b)price
c)markup
Pleas help. Willl fan and medal!!
The term describing what a manufacturer spends for goods or services is cost. Cost is the expenses incurred by the manufacturer as a result of his business or undertaking. There are two types of cost of a manufacturer. The cost of goods sold and the operating expenses. The cost of goods sold are those cost incurred directly as a result of manufacturing. The operating expenses are those other expenses not indirectly involved with the manufacture of goods or services.
Two parallel lines are _____ coplanar.
never
sometimes
always
Two lines that lie in parallel planes are _____ parallel.
sometimes
always
never
Please explain the answers, I want to understand this better.
Answer:
1. always
2. sometimes
Step-by-step explanation:
Two lines are coplanar if they lie in the same plane or in parallel planes. There is ALWAYS a plane which contains two parallel lines (see first attached image for details).
Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes [tex]\alpha[/tex] and [tex]\beta[/tex] are parallel. Consider pair of lines [tex]a[/tex] and [tex]a_1[/tex] - they are parallel, but if you consider the pair of lines [tex]a[/tex] and [tex]b_1[/tex], you can see they are not parallel.
Answer:
always
sometimes
Step-by-step explanation:
By definition parallel lines are lines in a plane which do not meet, that means, they have to be coplanar. Coplanar means they are included in the same plane. Then, two parallel lines are always coplanar (imagine two parallel lines in a 3d space, there is always a plane that can contain them).
Two lines that lie in parallel planes are sometimes parallel. As stated before, if there is a third plane which contains the two lines, they can be parallel or cannot, but if there is no plane which contains them, they are not parallel.
Jax solved an equation and justified his steps as shown below. What reason would justify step 2?
3x + 5 > 2 Step 1: Given
3x > -3 Step 2: ?
x> -1 Step 3: Division Property of Equality
a. Combine Like Terms
b. Division Property of Equality
c. Subtraction Property of Equality
d. Multiplication Property of Equality
Step 2 can be justified using the Multiplication Property of Equality. This property states that if we multiply or divide both sides of an inequality by the same number, the inequality will still hold true.
Explanation:Step 2 can be justified using the Multiplication Property of Equality. This property states that if we multiply or divide both sides of an inequality by the same number, the inequality will still hold true.
In this case, Jax divided both sides of the inequality by 3. This is a valid step because dividing both sides of the inequality by a positive number does not change the inequality. So, by dividing both sides by 3, Jax found that x > -1.
What is 22+6\3= because i have it in my homework i need do know
If cos thetha =-0.96 and (sec thetha)(sin thetha)>0 find the value of tan thetha
Simplify these 12 radicals:
1) √80 2) √64
3) √45 4) √54
5) √32 6) √36
7) √150 8) √20
9) √180 10) √72
11) √8 12) √50
Please answer this question!! Show your work
The range of typical total prices for an American tourist traveling on the European continent is $20.70 to $25.00. What is the average price?
Answer:
(The other answer has missing a number.)
The full answer is: $22.85
If PQRS is a parallelogram, what is the value of Y
The value of y is equal to 52. The correct option is C.
What is a parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.
RQ = SP
1/4 y = 13
Now you will multiply the reciprocal of 1/4 on both sides.
4(1/4 y) = (13)4
y = 52.
Hence, the answer is option C.
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What number is between 7/11 and 7/10
which one?
76/99
23/33
77/9
25/44
???? plz be sure its 56 points
Mara listens to audiobooks while she’s driving. She has 3 mystery, 4 fiction, and 2 humor audiobooks in her car. Summarize the data using the mode
Answer:The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.
Step-by-step explanation:
Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2b
Find the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4
Answer:
Part A. 4ab
Part B. 5pq²
Step-by-step explanation:
Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b
We have to find the greatest common factor of these expressions.
Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b
Factors of 44ab³ = 2×2×11×a×b×b×b
Factors of 40a²b = 2×2×2×5×a×a×b
So for the the greatest common factor we will choose the common factors (bold letters) of three expressions
GCF = 2×2×a×b = 4ab
Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]
Factors of 25p²q³ = 5×5×p×p×q×q×q
Factors of 15p²q² = 3×5×p×p×q×q
Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q
Therefore greatest common factor will be = 5pq²
5x - 20 = 2x + 10 How do you solve this problem?
Please help asap!!!! 53 points!
Calculate the difference 12.0875 – 7.50 using significant digits.
A. 4.5
B. 4.587
C. 4.59
D. 4.6
Answer:
The answer should be C.4.59.
Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?
Answer:
D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C
Step-by-step explanation:
Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?
A. $200,000 in bank A, $200,000 in bank B, $290,000 in bank C
B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C
C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C
D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C
A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30
Answer:
6
Step-by-step explanation:
Evaluate 2x^2 − 5y / 3x − y when x = 2 and y = -4
If you substitute all the variables with the number assigned the answer would be 18.