Answer:
∠ BCA = 45°, ∠ AWD = 90°
Step-by-step explanation:
All angles are right angles by definition.
Diagonals bisect the angles , so
∠ BCA = 45°
Diagonals are perpendicular bisectors of each other, so
∠ AWD = 90°
Ari read 28 pages of her book on Friday. On
Saturday, she read 20 more pages than she did
on Friday. What is the ratio of pages read Friday
night to Saturday night? Write the ratio in
simplest form.
more help pleas
Answer:
7 : 12
Step-by-step explanation:
Pages Ari read on Friday = 28 pages
On Saturday, she read 20 more pages than she did on Friday
Pages Ari read on Saturday = (28 + 20) pages
= 48 pages
What is the ratio of pages read Friday night to Saturday night?
pages Ari read Friday night : pages Ari read Saturday night
= 28 : 48
= 28/48
= 7/12
= 7 : 12
Evaluate b
-
(6)
+ c where b = 2 and c
7
4
Answer:
hope
Step-by-step explanation:
hope
how do I solve this complex expression-
(5+2i)+(6i^2-3i+2)
Answer:
1-i
Step-by-step explanation:
Hello,
you know that \(i^2=-1\), right?
so
\((5+2i)+(6i^2-3i+2)\\\\=5+2i-6-3i+2\\ \\=1-i\)
Thanks
how many rows and columns must a matrix a have in order to define a mapping from r4 into r5 by the rule t .x/ d ax?
The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.
This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.
In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.
So, the matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
where each aij is a scalar.
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Complete the double number line to show the other values of fat and protein.
The double number line which shows the other values of fat and protein is: option B.
What is a number line?A number line is a type of graph with a graduated straight line which contain numerical values that are placed at equal intervals along its length.
For the fat component, we have:
Fat = 2n = 0, 2, 4, 6, 8.
For the protein component, we have:
Protein = 11n = 0, 11, 22, 33, 44.
Note: n represent integers such as 0, 1, 2, 3 and 4.
In conclusion, the double number line which represent the other values of fat and protein is shown in the image attached below.
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Complete Question:
One serving of beef je-rky contains 2 grams of fat and 11 grams of protein. Complete the double number line to show the other values of fat and protein.
The box plots show the basketball scores for two teams.
Answer:
C
Step-by-step explanation: A.P.E.X
just points for whomever help me
Answer:
with what do you need help with your life
Step-by-step explanation:
A chess tournament was being held. This single-elimination tournament (in which paired competitors
played matches and only the winner of a match continued to the next round) began with 16 competitors.
How many matches were played?
A total of matches were played. _____
I really need help with this problem!
Answer:
A total of 15 matches were played.
Step-by-step explanation:
To determine the number of matches that were played in the chess tournament, knowing that there are 16 participants who face each other in a tournament of direct elimination, the following logical reasoning must be carried out:
In the first round there are 16 players, so being matches between 2 players, there are 8 matches (16/2). In the second round, applying the same reasoning and taking into account that there are only 8 players left, since the others have been eliminated, there are 4 matches (8/2). The same in the semifinals, where there are 2 games (4/2), and finally, the final to a single game.
Therefore, since 8 + 4 + 2 + 1 equals 15, the number of matches played in the tournament is 15.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
a sporting goods store received an order of 64 baseball caps, of which 16 were green. if 1 of the 64 caps is selected at random, what is the probability it will
The probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.
To calculate the probability of selecting a green baseball cap from the order of 64 caps, we can use the concept of probability.
Given:
Total number of caps (n) = 64
Number of green caps (k) = 16
The probability (P) of selecting a green cap can be calculated as the ratio of the number of green caps to the total number of caps:
P(green cap) = k / n
Substituting the values:
P(green cap) = 16 / 64
P(green cap) = 0.25
Therefore, the probability of selecting a green baseball cap from the order of 64 caps is 0.25 or 25%.
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Evaluate x-y = -11 and y =26
x= 15
Step-by-step explanation:Hi there !
x - y = - 11
replace y = 26
x - 26 = - 11
x = 26 - 11
x = 15
Good luck !
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd? reflection over the x-axis vertical stretch by a factor of 7 translation 8 units to the right horizontal compression by a factor ofOne-half
Answer: translation 8 units to the right
Step-by-step explanation:
An even function is a function such that:
h(x) = h(-x)
and the function is odd if:
h(-x) = -h(x)
Now, let's talk about transformations:
A) Reflection over the x-axis:
When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:
(x, -y).
Then for the case of a function:
y = h(x).
then the reflection will be:
g(x) = - y = -h(x).
And if h(x) is even, -h(x) is also even, so this is not the correct option.
B) Vertical stretch by a factor of 7.
This is written as:
g(x) = 7*h(x).
then:
g(x) = 7*h(x)
g(-x) = 7*h(-x) = 7*h(x) = g(x)
the transformation is even.
C) Translation of 8 units to the right.
We can write this as:
g(x) = h(x - 8).
Then:
g(-x) = h(-x -8) = h(x + 8)
Then g(-x) is not equal to g(x)
and also g(-x) ≠ -g(x)
So in this case the transformation is neither odd or even.
C) horizontal compression by a factor of One-half.
This transformation is written as:
g(x) = h( (1/2)*x)
And, similar as the case of the vertical compression, in this case the transformation is also even.
Answer: C
Step-by-step explanation:
Translation 8 units to the right
Ms Louis deposited the same amount of money each month into her bank
account. The table below shows the total amount of money, a, she
deposited into the account after a certain number of months, t. since
opening it. Which equation models the relationship between a and t?
Answer:
last one 250t
Step-by-step explanation:
if u pluged in 4 for t to the equation u would get 1000 which is the correct amount
hope this helped!
Answer:
a = 250t or Answer D
Step-by-step explanation:
Y = mx+b
m = (y2-y1)/(x2-x1)
m = (2500-100)/(10-4)
m = 1500/6 = 250
y = 250x+0
y = 250x
solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
\(\sf 1)\:4x - 2 > 2x + 8\)
Add 2 from both sides:
\(\sf 4x-2+2>2x+8+2\)
\(\sf 4x>2x+10\)
Subtract 2x from both sides:
\(\sf 4x-2x>2x+10-2x\)
\(\sf 2x>10\)
Divide both sides by 2:
\(\sf \cfrac{2x}{2}>\cfrac{10}{2}\)
\(\boxed{\sf x>5}\)
_______________________________
\(\sf 2)\: -3x - 6 > 4x - 20\)
Add 6 from both sides:
\(\sf -3x-6+6>4x-20+6\)
\(\sf -3x>4x-14\)
Subtract 4x from both sides:
\(\sf -3x-4x>4x-14-4x\)
\(\sf -7x>-14\)
Multiply both sides by -1:
\(\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)\)
\(\sf 7x<14\)
Divide both sides by 7:
\(\sf \cfrac{7x}{7}<\cfrac{14}{7}\)
\(\boxed{\sf x<2}\)
_______________________________
\(\sf 3)\: 4(x + 1) < 3x - 2\)
Apply distributive property:
\(\sf 4x+4<3x-2\)
Subtract 4 from both sides:
\(\sf 4x+4-4<3x-2-4\)
\(\sf 4x<3x-6\)
Subtract 3x from both sides:
\(\sf 4x-3x<3x-6-3x\)
\(\boxed{\sf x<-6}\)
_______________________________
\(\sf 4)\: 2x + 3 + x < -2x + 1 + 12\)
Combine like terms:
\(\sf (2x+x)= 3x\)
\(\sf( 1+12)=13\)
\(\sf 3x+3<-2x+13\)
Subtract 3 from both sides:
\(\sf 3x+3-3<-2x+13-3\)
\(\sf 3x<-2x+10\)
Add 2x from both sides:
\(\sf 3x+2x<-2x+10+2x\)
\(\sf 5x<10\)
Divide both sides by 5:
\(\sf \cfrac{5x}{5}<\cfrac{10}{5}\)
\(\boxed{\sf x<2}\)
________________________________
\(\sf 5)\: 2(x - 1) > 4x + 4 - 5x\)
Combine like terms:
\(\sf (4x-5x)=-x\)
\(\sf 2\left(x-1\right)>-x+4\)
Apply distributive property:
\(\sf 2x-2>-x+4\)
Add 2 from both sides:
\(\sf 2x-2+2>-x+4+2\)
\(\sf 2x>-x+6\)
Add x from both sides:
\(\sf 2x+x>-x+6+x\)
\(\sf 3x>6\)
Divide both sides by 3:
\(\sf \cfrac{3x}{3}>\cfrac{6}{3}\)
\(\boxed{\sf x>2}\)
_______________________________
\(\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x\)
Subtract 2 from both sides:
\(\sf 2+4x-7-2<8x+2-2x-2\)
\(\sf 4x-7<8x-2x\)
Combine like terms:
\(\sf (8x-2x)=6x\)
\(\sf 4x-7<6x\)
Add 7 from both sides:
\(\sf 4x-7+7<6x+7\)
\(\sf 4x<6x+7\)
Subtract 6x from both sides:
\(\sf 4x-6x<6x+7-6x\)
\(\sf -2x<7\)
Multiply both sides by -1:
\(\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)\)
\(\sf 2x>-7\)
Divide both sides by 2:
\(\sf \cfrac{2x}{2}>\cfrac{-7}{2}\)
\(\boxed{\sf x>-\frac{7}{2}}\)
_______________________________________
Hello please help, thank you :))
help!!
this is due by today, if anyone could help i would really appreciate help
the question is: what is the area of the shaded portion?
6) Find the slope of the line.
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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What is the domain for the set of ordered pairs? (1,5) (3,7) (5,9) (10, 9) *
Answer: i think the domains are
1
,
3
,
5
,
10
You have round tables each seating 6 people. As your guests sit at the table, how many degrees must you rotate to look from the guest to their left to the guest to their right? (Hint: The interior angles of regular polygon measure ((n - 2) x 180) / n where n is the number of sides.)
To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.
For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:
((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees
Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:
120 / 2 = 60 degrees
Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.
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can someone help please????
If ten integers are chosen from between 1 and 20 inclusive, must at least one of them be even? why?
Out of ten integers between 1 and 20 at least one must be even.
As given in the question,
Number of integers chosen between 1 and 20 is equals to ten.
1 and 20 are excluded.
Integers between 1 and 20 are as follow:
2, 3, 4, 5, 6, 7, 8, 9, 10 11,12,13,14, 15, 16, 17, 18, 19
There are total 9 odd integers between 1 and 20 are 3, 5, 7, 9, 11, 13, 15, 17,19
Therefore, to complete ten integers at least one even integer must be included.
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Sarah was mixing up some lemonade to sell for her lemonade stand. The recipe calls for 3 scoops of lemonade mix to make 2 gallons of lemonade.
If she has 21 scoops of lemonade mix in the container, how many gallons of lemonade can she make?
*
Sarah can make 14 gallons of lemonade with 21 scoops of lemonade mix.
Given information:
Sarah was mixing up some lemonade to sell for her lemonade stand.
The recipe calls for 3 scoops of lemonade mix to make 2 gallons of lemonade.
If 3 scoops of lemonade mix are needed to make 2 gallons of lemonade, then one scoop of lemonade mix can make 2/3 of a gallon of lemonade.
As per the multiplication,
So, with 21 scoops of lemonade mix, Sarah can make:
21 scoops x (2/3 gallon/scoop) = 14 gallons
Therefore, Sarah can make 14 gallons of lemonade with 21 scoops of lemonade mix.
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My garden needs 5 3/6 pounds of soil. If the bag of soil contains only ⅚ of soil - how many bags of soil do I have to buy? The answer is =
Approximately 7 bags of soil are needed to fill the land.
What is Equation Modelling?
Equation 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.
Given is garden that needs 5 3/6 pounds of soil. The bag of soil contains only 5/6 of soil.
The total number of bags of soil you need to buy are -
n = (33/6)/(5/6)
n = 33/6 x 6/5
n = 33/5
n = 6.6
n = 7 (approx.)
Therefore, approximately 7 bags of soil are needed to fill the land.
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a test has 25 questions and is worth a total of 100 points. it consists of multiple choice that are worth 8 points each and short answer that are worth 3 points each. how many multiple choice are there on the test?
Answer:
5
Step-by-step explanation:
8*5=40 and then 20 short answer that are 3 each. that makes up the rest of the 60 points
Answer:
There would be 5 multiple choice questions
Step-by-step explanation:
5x8=40
20x3=60
25 questions for total of 100 points
find the profit obtain by a trader by selling 50 mangoes each Rs 12.00 which bought at the price of Rs. 8 each .
What is the slope of the line?
Answer:
Slope = (1/3)
Step-by-step explanation:
Point 1: (0, 2); Point 2: (3, 3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 3 - 2 1
m = ----------- = ------------ = ---------
x₂ - x₁ 3 - 0 3
y - y₁ = m(x - x₁)
y - 2 = (1/3)(x - 0)
y - 2 = (1/3)x - 0
+2 +2
--------------------------
y = (1/3)x + 2
I hope this helps!
The jazz band has m(variable) members. To raise money for a tour, each member sold 12 raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer: 12m
Step-by-step explanation:
Each member sells 12 tickets, so you would have to multiply the amount of tickets(12) by the amount of members(m).
=============================================
Explanation:
1 person sells 12*1 = 12 tickets
2 people sell 12*2 = 24 tickets
3 people sell 12*3 = 36 tickets
....
m people sell 12*m = 12m tickets
m is a placeholder for a positive whole number (1,2,3,...)
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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Find the number of positive divisors of 540.
Answer:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Step-by-step explanation:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Therefore, the number 540 is not a prime number or a deficient number
A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;
1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.
Answer:
\(540 = 3 ^{3} \times 2 {}^{2} \times 5\)
so, it is 4*3*2= 24