Answer:
C
Step-by-step explanation:
I would say not enough information. You cannot tell from the givens how A,B and m<2 are related to each other.
Answer C
Answer:
c
Step-by-step explanation:
Which graph represents the solution set of the compound inequality below? x + 3 < (4x – 12) < 20
x + 3 < 4x - 12 or 4x - 12 < 20
-x -x +12 +12
3 < 3x - 12 or 4x < 32
+12 +12 ÷4 ÷4
15 < 3x or x < 8
÷3 ÷3
5 < x
5 < x < 8
Graph: 5 o---------------o 8
Answer:
5<x<8
Step-by-step explanation:
x + 3 < (4x – 12) < 20
Solve the inequality
x + 3 < 4x – 12 < 20
We break the inequality
x+3<4x-12 and 4x-12<20
solve it separately
x+3<4x-12
subtract 4x on both sides
-3x +3< -12
subtract 3 on both sides
-3x < -15
divide by -3 on both sides
x> 5
4x-12<20
add 12 on both sides
4x <32
divide by 4
x<8
x>5 and x<8
so x lies between 5 and 8, 5<x<8
the graph is attached below
What is the mode of the following numbers?
2, 5, 11, 7, 5
The mode of this set of numbers is 5.
The mode of a set of numbers, is the most common/frequent number within the set. Since there are two 5's but only one of each other number. Thus making 5 the mode.
please help asap 25 pts
Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?
If Monique used a total of 6 1/2 pounds of potatoes and each batch required 3/4 of a pound of potatoes, then you have to divide the total amount of pounds by an amount of pounds needed for one batch:
[tex]6\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{13}{2}\cdot \dfrac{4}{3} =\dfrac{26}{3}=8\dfrac{2}{3}.[/tex]
Answer: [tex]8\dfrac{2}{3}.[/tex]
Answer:
Step-by-step explanation:It’s B and E
Write as an equation.
60 is 2 more than the product of 5 and N
A. 60=2+5+N
B. 60=2N+5
C. 60=2+5N
D. 60=2+5/N
If 60 is 2 more than the product of 5 and N:
The product of 5 and N is when they are multiplied, so 5N is going to be part of the equation.
We know that 60 is 2 more than 5N, so 5N + 2 would be 60.
We can make an equation with this:
60 = 2 + 5N
Therefore, the equation would be 60 = 2 + 5N.
Hope this helps! :)
The equation that can be used to depict the information 60 is 2 more than the product of 5 and N will be 60 = 2 + 5N
From the information given, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.
To further solve the equation, we can solve for N and this will be:
60 = 2 + 5N
Collect like terms
5N = 60 - 2
5N = 58
N = 58/5
N = 11.6
Therefore, the value of N will be 11.6.
In conclusion, 60 is 2 more than the product of 5 and N and this will be written as 60 = 2 + 5N.
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3 questions 40 points
The best graph that best fits your table is graph D.
For number 12, I don't see any graphs, but the graph would look like the graph I have below.
For number 11, A) y = 1/2x - 1 is correct. Here's the proof! (pic #2)
For number 10, the first graph is correct, here's the proof! (pic #3)
The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm
Graph the following and determine in which quadrants the graphs lie: y= 1/3x
y = 1/3x
The slope is 1/3 ( the slope is the number with the variable x).
There is no other operation ( addition or subtraction) so the y- intercept is 0
The first point of the graph would be (0,0)
Calculate another point , lets use x = 3
y = 1/3(3) = 1
The second point is (3,1)
The line of the graph is an angled line which is located in quadrant 1 and 3.
See attached picture:
Given: △MOP, Perimeter of △MOP=12+4 sqr rt. 3 m∠P=90°, m∠M=60° Find: MP
Consider triangle MOP. This triangle is right triangle, because m∠P=90°.
Since m∠P=90°, m∠M=60°, then m∠O=180°-90°-60°=30°.
The leg opposite to the angle with measure 30° is half of the hypotenuse. Let the leg MP=x, then the hypotenuse MO=2x. By the Pythagorean theorem,
[tex]PO^2+MP^2=MO^2\Rightarrow PO^2=(2x)^2-x^2=4x^2-x^2=3x^2\Rightarrow PO=\sqrt{3}x.[/tex]
The perimeter of triangle MOP is
[tex]P_{MOP}=MO+PO+MP=x+2x+\sqrt{3}x=3x+\sqrt{3}x.[/tex]
Since [tex]P_{MOP}=12+4\sqrt{3},[/tex] then [tex]x=4.[/tex]
Answer: MP=4 units.
Answer:
mp=4 cuz in a 30-60-90 degree right triangle if the shorter leg is x, then the longer leg (po) is xsqrt3. Because the perimeter is 12+4sqrt3, that means the longer leg is probably 4sqrt3. because of this, then the shorter leg, mp is 4. Since the hypotenuse is equal to 2x, then it would be 2*4=8=PO.
What is the change in value of the 5 digit in these two numbers? 658 201 and 675 201
Use distributive property to rewrite problem so it had only two factors. Then solve (25x9)+(75x9)=
ANSWER
[tex](25\times9)+(75\times9)=9(25+75)[/tex]
[tex](25\times9)+(75\times9)=9(100)[/tex]
[tex](25\times9)+(75\times9)=900[/tex]
EXPLANATION
According to the distributive property,
[tex](a\times b)+(a\times c)=a(b+c)[/tex]
This implies that,
[tex](25\times9)+(75\times9)=9(25+75)[/tex]
[tex](25\times9)+(75\times9)=9(100)[/tex]
The Right Hand Side of the equation now has 2 factors.
We solve now to obtain;
[tex](25\times9)+(75\times9)=900[/tex]
The distributive property allows you to factor out a common factor from both terms in an equation. In this case, you can rewrite the expression (25x9)+(75x9) using the distributive property as 9*(25+75), which simplifies to 9*100 or 900.
Explanation:The distributive property in mathematics is a property where each term inside a bracket is multiplied by the term outside the bracket. We can use the distributive property to rewrite the given expression (25x9)+(75x9).
First, recognize that both terms in the equation have a common factor of 9. By applying the distributive property, you can factor out the common factor of 9 to get 9(25 + 75). Next, simplify the expression inside the parentheses (25 + 75) to get 100. So, your expression is now 9*100. Finally, multiply 9 by 100 to get 900. So, (25x9)+(75x9) = 900.Learn more about Distributive Property here:https://brainly.com/question/6276874
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During a promotional event a sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer which customer has the first to get a free t-shirt and a free water bottle
Given
During a promotional event
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
Find out which customer has the first to get a free t-shirt and a free water bottle.
To proof
Definition of LCM ( Least common multiple )
The LCM of two numbers is the smallest number that they both divide evenly into.
As given in the equation
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
Let take 8 be as one number and 10 be as another number.
LCM ( 8,10 ) = 2× 2 ×2 ×5
= 40
Also
A sporting goods store gave a free t-shrit to every 8th customer and a free water bottle to every 10th customer.
This is shown in the table given below.
As shown in the table the common value is 40.
Therefore
The first to get a free t-shirt and a free water bottle is 40th customer.
Hence proved
Answer:
The 40th customer was the first to get a free t-shirt and free water bottle
Step-by-step explanation:
An animal shelter currently has 27 dogs and 23 cats. What is the ratio of cats to animals
Answer:
Ratio of Cats to animals [tex]\frac{23}{50}[/tex]
Step-by-step explanation:
Total animals in the shelter = Total number of dogs + Total number of Cats
=[tex]27+23[/tex]
=[tex]50[/tex]
Ratio of Cats to animals = Number of Cats / Total animals
=[tex]\frac{23}{50}[/tex]
If an = n(n+2), what is a9?
20
99
108
120
an = n(n+2)⇒ a9 = 9(9+2) = 9 × 11 = 99
The mailman delivered a $22 check and three bills for $ 14 each today .What is the total in the mailbox?
HE WOULD HAVE 64$ IN TOTAL
Answer:
-64
Step-by-step explanation:
its actually, -64 not 64.
In an auditorium there are 9 rows of seats with 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are there I'm the auditorium
Answer:
306 seats
Step-by-step explanation:
The total number of seats in the auditorium is calculated by multiplying the number of rows by the number of seats in each row for both sets of rows, then adding both totals together. The total comes to 306 seats.
Explanation:This is a mathematics question focused on multiplication and addition, which are key fundamentals in arithmetic, often covered in middle school. To find the total number of seats in the auditorium, you need to multiply the number of rows by the number of seats in each row, then add these numbers together.
For the first part, there are 9 rows with 18 seats in each. By multiplying these numbers (9 * 18), we get 162.
For the second part, there are 6 rows with 24 seats in each. By multiplying these numbers (6 * 24), we get 144.
Then, to find the total number of seats in the auditorium. we add these two numbers together (162 + 144), which equals 306. Therefore, there are 306 seats in the auditorium.
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The complete question is here:
In an auditorium there are 9 rows of seats with 18 seats in each row. There are also 6 rows of seats with 24 seats in each row. How many seats are there in the auditorium?
How did speculative investing weaken the stability of the stock market
The table below represents the relationship of the amount of snowfall ( in inches) in 5 cities to the amount of time
(in hours) of a recent winter storm.
Answer:
its c
Step-by-step explanation:
Provide reasons for the proof.
Given: ∠1 ≅∠3 and
Prove: LT || MV
Proof:
Statement Reason
1. PV || QM Given
2. ∠1 is supplementary to ∠2 Same-Side Interior Angles Theorem
3. m∠1 + m∠2 = 180° Same-Side Interior Angle Theorem
4. ∠1 ≅ ∠3 Given
5. m∠1 = m∠3 Definition of Congruent angles => (If the angles are congruent, the measurements will be equal)
6. m∠3 + m∠2 = 180° Same side interior angle theorem (two angles on the same side make 180° if directly next to each other)
hope this helps
To prove that LT is parallel to MV, we can use the given information that angle 1 is congruent to angle 3. By showing congruence between triangles LTM and MVL, we can establish the proportionality of sides LT and MV, leading to the conclusion that LT is parallel to MV.
To prove that LT is parallel to MV, we need to use the given information that angle 1 is congruent to angle 3. Here's a step-by-step explanation:
Start by drawing a diagram representing the given information. Label the angles and the lines appropriately.Since angle 1 is congruent to angle 3, triangle LTM is congruent to triangle MVL by Angle-Angle-Angle (AAA) congruence.This means that corresponding sides of the triangles will be proportionate. The corresponding sides are LT and MV.By the Side-Side-Side (SSS) similarity theorem, we can conclude that LT is parallel to MV.Therefore, we have proved that LT is parallel to MV using the given information that angle 1 is congruent to angle 3.
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The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). What percentage of Best Actress winners (among females) lie between Q1 = 28 and Q3 = 41?
A. 25%
B. 12%
C. 50%
D. 75%
The first quartile Q1 shows a partition of the first 25% of the data. In the same way the quartile Q3 shows a partition of 75% of the data.
Then, the difference Q3-Q1, also called the interquartile range shows the central 50% of the data.
Therefore the answer is option C:
The percentage of Best Actress winners (among women) between Q1 = 28 and Q3 = 41 is 50%.
Answer: Option C
Step-by-step explanation: i Just Took The Test
Otylia simplifies the expression 4y + y to 4y2. Use the drop-down menus to complete the statements below to explain why Otylia's solution is correct or incorrect.
Hi, the answer is this...
Otylia's solution is: Incorrect
Because 4y+y is the same as 4y+1y
4y2 is the same as 4y x y
4y+y simplifies to 5y
Answer:
Otylia's solution is incorrect
Correct solution is 5y
Step-by-step explanation:
Otylia simplifies the expression 4y + y to 4y^2.
LEts simplify the expression 4y+y and check with Otylia's solution
4y and y are like terms
y or 1y are same
4y and 1y are like terms
To combine like terms, we add only the coefficient of y
So 4y + 1y = 5y
Otylia simplifies the expression 4y + y to 4y^2
4y^2 is not correct. So Otylia's solution is incorrect
Given 5x3+8x2−7x−6. 1) The binomial (x+2) is a factor of the polynomial expression. Describe how you know it is a factor. 2) The binomial (x+1) is NOT a factor of the polynomial expression. Explain how you know it is not a factor.
ANSWER TO QUESTION 1
Given
[tex]f(x)=5x^3+8x^2-7x-6[/tex]
We can use the factor theorem to determine if
[tex]x+2[/tex] is a factor of the polynomial or not.
According to this theorem, if [tex]x+2[/tex] is a factor of [tex]f(x)[/tex], then [tex]f(-2)=0[/tex].
How did we get the [tex]-2[/tex]?
We set [tex]x+2=0[/tex] and then solve to obtain [tex]x=-2[/tex].
So now let us plug in [tex]x=-2[/tex] in to the function to see if it will simplify to zero.
[tex]f(-2)=5(-2)^3+8(-2)^2-7(-2)-6[/tex]
[tex]f(-2)=5(-8)+8(4)+7(2)-6[/tex]
[tex]f(-2)=-40+32+14-6[/tex]
[tex]f(-2)=6-6[/tex]
[tex]f(-2)=0[/tex]
Since the result simplifies to zero, we conclude that
[tex]x+2[/tex] is a factor of
[tex]f(x)=5x^3+8x^2-7x-6[/tex]
ANSWER TO QUESTION 2
We have the function,
[tex]f(x)=5x^3+8x^2-7x-6[/tex]
We can use the remainder theorem to show that
[tex]x+1[/tex] is NOT a factor of the polynomial.
According to this theorem, if [tex]x+1[/tex] is not a factor of [tex]f(x)[/tex], then [tex]f(-1)\ne 0[/tex].
So now let us plug in [tex]x=-1[/tex] in to the function to see if it will simplify to non-zero number.
[tex]f(-1)=5(-1)^3+8(-1)^2-7(-1)-6[/tex]
[tex]f(-1)=5(-1)+8(1)+7(1)-6[/tex]
[tex]f(-1)=-5+8+7-6[/tex]
[tex]f(-1)=4[/tex]
[tex]f(-1)\ne0[/tex]
Since the result simplifies to a non zero number, we conclude that
[tex]x+1[/tex] is NOT a factor of
[tex]f(x)=5x^3+8x^2-7x-6[/tex]
Select the property that this number sentence illustrates:
2 × 3 = 3 × 2
A.
associative property of addition
B.
associative property of multiplication
C.
commutative property of addition
D.
commutative property of multiplication
Answer:
D. Commutative Property of Multiplication
Step-by-step explanation:
Commutative Property of Multiplication states that two numbers can be multiplied in either order.
For this case we have to:
By definition, the commutative property of the multiplication establishes that, the order of the factors does not alter the product, that is to say:
[tex]a * b = b * a\\[/tex]
Therefore the expression given by:
[tex]2*3 = 3*2[/tex] represents:
The commutative property of multiplication
Answer:
Option D
What is the slope of the line represented by -14y = 7x ?
I believe the answer is -1/2.
100 points (,: giving brainliest too! please help?
2. KL = LM
3. Definition of midpoint
4. L is the midpoint of KM
5. Transitive Property of Congruence
PLEASE HELP
What are the steps for using a compass and straightedge to construct a square?
Drag the steps and drop them in order from start to finish.
Answer:
To construct the Square using a compass and straight edge, you have written the steps not in proper order. I am rearranging the steps for you
1. Construct horizontal H J¯¯¯¯¯
2. Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .
3.Label the point of intersection of the two circles above HJ¯¯¯¯¯ , point K, and the point of intersection of the two circles below HJ¯¯¯¯¯ , point L.
4.Construct KL¯¯¯¯¯ , the perpendicular bisector of HJ¯¯¯¯¯ , intersecting HJ¯¯¯¯¯ at point M.
5.Construct a circle with point M as the center with radius MJ .
6.Label the point of intersection of circle M and KL¯¯¯¯¯ closest to point K, point N, and the point of intersection of circle M and KL¯¯¯¯¯ closest to point L, point O.
7.Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .
Please help find the percent of increase?!
Subtract to find the difference:
2000 - 500 = 1500
Divide the difference by the original population:
1500 / 500 = 3
Multiply that by 100 to get the percentage:
3 x 100 = 300%
Ford is the coach of a local baseball team that is currently losing by two runs. They are getting ready to take the field to start the bottom of the eighth inning. In the past, when losing by two runs, he has replaced the starting pitcher with a relief pitcher a total of 25 times in the eighth inning of the game. When in the same position, he has left the starting pitcher in the game 15 times.
In the situations when he has replaced the pitcher, they have lost 14 times and won 11 times. In the situations when he has left the starting pitcher in the game, they have lost 8 times and won 7 times.
Based on these numbers, if the goal is to win the game, should he replace the pitcher or not?
A.
Ford should leave the starting pitcher in the game.
B.
There is not enough information to determine if he should replace the pitcher or not.
C.
Ford should replace the pitcher.
D.
Neither option has any advantage.
Answer: A: Ford should leave the starting pitcher in the game.
I just used the other answer provided and it was wrong, at least on study island it was wrong.
Which angle corresponds to <7?
A. <1
B. <3
C. <4
D. <6
Based on the parallel lines, an angle that corresponds to ∠7 include the following: B. ∠3.
What are corresponding angles?In Mathematics and Geometry, corresponding angles theorem is a theorem which states that corresponding angles are always congruent when the transversal intersects two parallel lines:
This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two parallel lines.
By applying corresponding angles theorem to the two parallel lines, we have the following congruent angles:
m∠3 ≅ m∠7
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Find a cubic function with the given zeros. (5 points)
-2, 5, -6
The cubic function with zeros -2, 5, and -6 is given by f(x) = (x + 2)(x - 5)(x + 6), derived from the zero-product property.
Explanation:To find a cubic function with the given zeros of -2, 5, and -6, we can use a formula associated with the zero-product property. This property states that if a product of factors equals zero, then at least one of the factors has to be equal to zero. So if -2, 5, and -6 are the zeros of the function, the factors of the function would be (x + 2), (x - 5), and (x + 6).
The cubic function f(x) is then derived from the multiplication of these factors. Therefore the cubic function with the zeros -2, 5, and -6 will be f(x) = (x + 2)(x - 5)(x + 6).
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