Answer:
3/4 and 12/16
Step-by-step explanation:
[tex]\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}[/tex]
What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5
Answer:
[tex]A' = -51[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]
Required
Determine the determinant of A (A')
If
[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Then,
[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]
So:
The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is
[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]
[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]
[tex]A' = -2(11) -2(-18) -5(13)[/tex]
[tex]A' = -22 +36 -65[/tex]
[tex]A' = -51[/tex]
Hence, the determinant is -51
Need help ASAP it’s due at 12 tonight
Answer:
quarterly N = 4
semi-annually N = 2
Monthly N = 12
annually N = 1
Step-by-step explanation:
The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:
A = P(1 + r/n)^nt
n = number of times in a year for which the amount is compounded :
Annually : compounding times = 1 = 12 /12
Semi annually (6 months) ; N = 12 /6 = 2
Quarterly ; (3 months) ; N = 12 /3 = 4
Monthly ; (12 months) ; N = 12 / 12 = 1
Aisha spends 15 1/6 hours doing homework in September. She spends 18 3/4 hours doing homework in October.
How much longer does Aisha spend doing homework in October than in September?
2 1/3 h
2 7/12h
3 1/3h
3 7/12h
Answer:
its 3 7/12
Step-by-step explanation:
.......hope it helps...... need a thanks
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
The external and the internal radius of a cylindrical pipe of length 50 cm are 3 cm and 2.6cm respectively. find the volume of material contained by the pipe
Answer:351.86 cc( approximately)
Step-by-step explanation:
The volume of the material = External volume - internal volume
= π3^2×50-π 2.6^2×50
=351.86
The volume of the material by the pipe is 351.86 cc.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively
The length of the pipe is 50 cm
External volume = π(3)²×50 = 1413.71 cc
internal volume = π (2.6)²×50 = 1061.85
The volume of the material = External volume - Internal volume
The volume of the material = 1413.71 - 1061.85
The volume of the material = 351.86 cc
Learn more about the volume of cylinder here :
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vary hard 12th grade work
Please help! Linear Equation word problems using the Ax + By = C form!
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
write a situation for 1/3 x 3/4 = 3/12
Answer:
1/3x3/4=3/12
3/4=3/12x3/1
=3/12x3/1x4/3
=3/4
A football team has a net yardage of -33 yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
331
Answer:
they need 43 more yards
Step-by-step explanation:
Please anyone answer this one and get it right
Answer:
300
-100
Step-by-step explanation:
-50 + -250 = -300
-300 + x = 0
x = 300
-425 + 250 + 275 = 100
-100 + x = 0
x = -100
Answer:
6.) 300 7.) -100
Step-by-step explanation:
A wholesale club sells eggs by the dozen. write an eqaution that relates the total cost of eggs (y) to the number of dozens of eggs (x)
Dozen Cost ($)
6 21
8 28
10 35
14 49
Answer:
[tex]y = 3.5x[/tex]
Step-by-step explanation:
Required
Determine the equation
First, pick corresponding x and y values
[tex](x_1,y_1) = (6,21)[/tex]
[tex](x_2,y_2) = (14,49)[/tex]
Next, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{49 - 21}{14 - 6}[/tex]
[tex]m = \frac{28}{8}[/tex]
[tex]m = 3.5[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 21 = 3.5(x - 6)[/tex]
[tex]y - 21 = 3.5x - 21[/tex]
Add 21 to both sides
[tex]y - 21+21 = 3.5x - 21+21[/tex]
[tex]y = 3.5x[/tex]
Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?
Answer:
The remainder is 12.
Step-by-step explanation:
The Polynomial Remainder Theorem
The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
We are given the polynomial:
[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]
And we are required to find the remainder when p(x) is divided by (x-1).
We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:
[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]
Remainder= 1 - 3 - 10 + 24 = 12
The remainder is 12.
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
Option B
Step-by-step explanation:
Given:
AB ≅ CD
BC ≅ DA
To Prove:
ΔABD ≅ ΔCDB
Statements Reasons
1). AB ≅ CD 1). Given
2). BC ≅ DA 2). Given
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCDB 4). SSS postulate of congruence
Therefore, Option (B) will be the correct option.
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interest did she pay each 1 year?
Answer:
her life
Step-by-step explanation:
If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forward). What would happen? Would the bullet keep going and eventually lose its power or would it come back and hit you? Use your own situations in the answers like what kind of speed, gun, caliber, wind speed whatever.
Answer:
If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.
Step-by-step explanation:
Step-by-step explanation:
If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets
Plz Mark me as brainlist
The integer 4 is considered all of the following except _____.
a term
a constant
an expression
a variable
Answer:
variable
Step-by-step explanation:
variables are often expressed by letters
PLS PLS HELP! ASAP! Will mark brainliest!
Choose the correct simplification of the expression (d3)5.
1. d8
2. d15
3. d243
4. d
The Answer is A^15, a.k.a. A to the 15th power.
Step-by-step explanation:
First, apply the exponent rule. (a^b)^c = a^bc
You would get a^3*5 (* means times) (^ means to the power)
Second refine.
You would get d^15.
The answer is d^15.
Express (-3+2i)(-6 - 8i) in a + bi form.
The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
For more references on complex numbers, click;
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A varsity boy's basketball team has ratio of seniors and juniors that is 7:4. If the team is made up of only juniors and seniors, what is the ratio of seniors to the total team members?
Answer:
7:11
Step-by-step explanation:
From the question
Seniors : Junior's
7:4
The sum of the proportion = Total team members = 7 + 4 = 11
Hence, the ratio of seniors to total team members =
Senior : Total team members
7 : 11
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Ed 2020
PLEASE HELP ME!!!!!!!!!!!!!
Charlie saves $2 for every $9 he earns. Melody saves $4A for
every $12 she earns. Is Charlie's ratio of money saved to money
earned equivalent to Melody's ratio of money saved to money
earned? Explain.
Answer:
They are the same.
Step-by-step explanation:
To divide a number by 1,000, move the decimal point _____.
three places to the right
four places to the right
three places to the left
four places to the left
Answer:
three places to the right!
Step-by-step explanation:
Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).
Hope this helps!
4t-8
select all that apply.
A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)
Answer:
A. is the answer.
Step-by-step explanation:
4t-8=4×(t-2)
4=0
t-2 add to both side of equation
t=2
Please help ! And , give the right answer please .
Answer:
none of them are constant of proportinality.
Step-by-step explanation:
because if you divided each one. you do not get the same answer. if you did it would have to be either of the others, but in this case there is no constant of proportinality in that chart
Answer: D( not proportional)
Step-by-step explanation:
3*4= 12
6*4= 24
9*4=36
12*4=48
The two lasts x and y values are not proportionate because they don’t follow the same order of times 4
What is the best description of the relation in Item 2?
A. a function that is one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function
Answer:
Step-by-step explanation:
a relation that is not a function
XY = Y Z
2x = 5x-12
- 3x = -12
How do I solve ?
Answer:
Step-by-step explanation:
Well basically if you cancelled out y from both sides. You will find out x=z
-3x= -12
x=4
Thus z=4
A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!
O
If the sin 90° is 1, then the cos
(4 points
Answer:
What is the angle for cos, keep question clearly
If angle is 90° then answer is 0
Que es un Monomi i un Polinomi?
Answer: Traducción Española
Polynomi es un término matemático que muestra la suma de monomios. Monomi es un problema matemático donde las variables y constantes pueden estar solas o multiplicarse.
Step-by-step explanation:
English translation:
Polynomi is a mathematical term that shows the sum of monomials. Monomi is a mathematical problem where variables and constants can stand alone or multiply.
A 14-ounce energy drink contains 42 teaspoons of sugar. How much sugar is one ounce of the drink?
Answer:
3 teaspoonsStep-by-step explanation:
14-ounce ⇒ 42 teaspoons of sugar14/14 ounce ⇒ 42/14 = 3 teaspoons of sugar1-ounce ⇒ 3 teaspoons of sugar