Answer: c
Step-by-step explanation:
When multiplying matrices, multiply ACROSS with the left matrix and DOWN with the right matrix.
[tex]\text{Example}:\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \times \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}ax+by\\cx+dy\\\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \times \left[\begin{array}{c}2\\3\end{array}\right] =\left[\begin{array}{c}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right] = \left[\begin{array}{c}16\\3\end{array}\right][/tex]
Erin deposited $500 in a savings account earning 8% interest annually and compounded monthly to the nearest cent how much interest will she earn in 10 years
Answer:
$400
Step-by-step explanation:
$500 multiplied by 8% = $40
If you multiply $40 by 10 years that equals $400.
A two digit number less than 30 is written down at random. What is the probability that it Will be a prime number?
Answer:
there are 20 2 digit numbers less than 30.
out of all of them 6 are prime
then there is only a 6/20 chance that it will be a prime number, or a 30% chance.
the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.
The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.
Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 29
Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
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Please give me the answer
Answer:
the median increases by 0
Step-by-step explanation:
Can someone please help me with this?
Answer:
First option is the correct answer
Second option is the correct answer
Step-by-step explanation:
Five added to a number, then divides by two equals eight
[tex] \frac{x+5}{2} = 8[/tex]
Three added to one fourth of a number gives seven.
[tex] \frac{1}{4} x+3= 7[/tex]
Answer:
Step-by-step explanation:
1) option A
Let the number be x
Five added to a number = x +5
Then divided by 2 : [tex]\frac{x+5}{2}[/tex]
Equation:
[tex]\frac{x+5}{2}=8[/tex]
2) option B
one fourth of a number: (1/4)x
Three added to one fourth of a number : [tex]\frac{1}{4}x+3[/tex]
Equation:
[tex]\frac{1}{4}x+3=7[/tex]
in right triangle ABC, angle C is a right angle and sin A= sin B. What is measure of angle A
Answer: 45 degrees
Step-by-step explanation:
Plato
Find the measure of angle x in the figure below:
Answer:
70 degrees
Step-by-step explanation:
The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:
x+55+55=180
x+110=180
x=180-110=70
Hope this helps!
HELP a repeating decimal + A fraction...
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational.......
find the area for the figure (square and circle)
Answer:
257 square m
Step-by-step explanation:
Area of the figure
= Area of square + Area of semicircle
[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]
Answer:
257 square meters
Step-by-step explanation:
i just took the test
Melissa wants to cover a footrest with cotton fabric.The footrest is 15 inches by 11 inches by 13 inches.She has 1 square yard of fabric.Can she completely cover the footrest.
can someone help with all of of it ??
Answer:
y = -2x + 1
Step-by-step explanation:
First we're going to find the gradient (the number in the green box with the question mark).
We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.
Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).
Substitute the points into our formula:
gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]
gradient = [tex]\frac{-6}{3}[/tex]
gradient = -2
Next, we're going to find the y-intercept (the number in the grey box)
Now that we have the gradient, our equation looks like this:
y = -2x + c
We use the letter c to represent the y-intercept of a linear graph.
Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).
3 = -2(-1) + c
3 = 2 + c
c = 1
So our equation is y = -2x + 1
The maximum point on the graph of the equation
y = f(x) is (2,-3). What is the maximum point on
the graph of the equation y=f(x-4)?
Answer:
(6, - 3 )
Step-by-step explanation:
Given f(x) then f( x + c) represents a horizontal translation of f(x)
• If c > 0 then a shift to the left of c units
• If c < 0 then a shift to the right of c units, thus
y = f(x - 4) represents a shift to the right of 4 units, so
(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )
The maximum point on the graph after translation y = f( x -4) is (6 , -3)
What is translation of a graph?Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .
Horizontal translation to the left is given by f (x+ c) ,c >0
: (x, y) → (x- c , y)
Horizontal translation to the right is given by f (x- c) ,c >0
: (x, y) → (x+ c , y)
Given that the maximum point on the graph of the equation
y = f(x) is (2,-3)
To find the maximum point on the graph of the equation y = f(x-4)
f(x -4) is Horizontal Translation to the right with 4 units , c= 4
then (x, y) → (x+ c , y)
Thus the maximum point (2,-3) is moved to ( 2 +c , -3)
⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)
Therefore, the maximum point of the graph of the equation y = f(x-4) becomes (6,-3)
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Solve the inequality. |3x + 6| x > 2 C. –2 < x < 2 D. –6 < x < 2
Answer:
-6 < x < 2
Step-by-step explanation:
hope this helps :)
√125 x √5 is equal to a) 50 b) 250 c) 25
Answer:
c. 25
Explanation:
write no more than one radical
[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]
simplify
[tex]5\sqrt{25} \\25[/tex]
Therefore, the answer is c) 25.
Answer:
c) 25
Step-by-step explanation:
√125 x √5= √25*5*5 = √25*25= 25
Please answer this question immediately ...I need help pls
Answer:
39/46
Step-by-step explanation:
Now, the key to answer this first is knowing the value of cos θ
Mathematically, when we have sin θ
What we have is the ratio of the opposite to the hypotenuse side
Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13
Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem
This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides
So let’s say the adjacent or the third side is d
This means that;
13^2 = 5^2 + d^2
d^2 = 13^2 - 5^2
d^2 = 169-25
d^2 = 144
d = √(144)
d = 12
The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse
and that is 12/13
Hence Cos θ = 12/13
What we need last to answer the question is cos2 θ
Using trigonometric identity;
Cos2θ = cos^2 θ - sin^2 θ
Inputing the values of sine and cos of the angle theta, we have;
cos2θ = (12/13)^2 - (5/13)^2
cos2θ = 144/169 - 25/169 = 119/169
Thus;
cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)
= 12/13/(184/169)
= 12/13÷ 184/169
= 12/13 * 169/184
= (13 * 3)/46 = 39/46
b) Work out the probability that a player
will select a red ball.
Answer:
The probability is equal to the number of times you chose the red ball out of the total balls.
Anyone know this ?? :( need help
Answer:
It is the value of the coin when it was originally purchased. t=0 y=3
Step-by-step explanation:
The y intercept is the value when t=0
It is the value of the coin when it was originally purchased. y=3
Please help me answer this solve for x
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]
These are corresponding angles
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the measure of < A, In degrees?
Answer:
D.120
Step-by-step explanation:
The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120
is the fraction 6 1/2 equal to 73?
Answer:
No 6 1/2 is 6.5, which is not 73
Step-by-step explanation:
Answer:
no, 6+1/2 equals 6'5
if you mean 6*1/2, it still doesn't equal 73 but 3
Step-by-step explanation:
Please explain how you can find the circumference (perimeter) of a circle given its area.
Answer:
You have 2 equations:
One for area: A = πr²
One for circumference: C = 2πr
If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.
When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.
Step-by-step explanation:
Which of the following characteristics best describes the given function of ƒ(x) = 3x − 6 ?
Answer:
a linear function with slope 3 and y intercept -6
Step-by-step explanation:
f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.
Next time please be sure to share the answer choices. Thanks.
Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
What is linear function?" Linear function is defined as the relation between variables with highest exponent equals to one".
According to the question,
Given
Function[tex]f(x)= 3x-6[/tex]
[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.
Therefore, it is a linear function.
Represents the straight line.
x increases y also increases.
No maximum and minimum point.
Compare it with general equation of line [tex]y = mx + c[/tex]
Slope of the line [tex]= 3[/tex]
Y- intercept [tex]= -6[/tex]
Hence, function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
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HELP!!!!!!!!!!!!!…………………
Answer:
A
Step-by-step explanation:
[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]
Therefore, the correct answer is choice A. Hope this helps!
find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
Which of these is LEAST likely to be a destination of future manned space exploration during your lifetime? A. Mars B. asteroids C. nearby stars D. orbiting hotels
Answer: C
Step-by-step explanation:
Nearby stars are lightyears and lightyears away. We are landing on Mars next year, the international space station already exists, and a japansese research center already mined asteroids. That textbook must be quite old
Un fabricante de carteras de la marca "C&L" vende cada cartera a su distribuidor argentino al precio de (230 - q) soles si la cantidad q es menor que 210. Si el costo unitario de cada cartera es S / 20 y el monto de los costos fijos a S / 2,000. A. Determine las ecuaciones de ingreso y costo total para el fabricante al producir y vender carteras q. Si. Determine la ecuación de utilidad del fabricante al vender q unidades de carteras. C. ¿Cuántas carteras se distribuirán, si la ganancia obtenida es de 1800 soles, sabiendo que es mayor que 50? D concentración
Answer:
A. 101 × q / 2000 S
B. Ingresos totales de q unidades = 230 · q - q²
Costo total para producir q unidades = 101 × q / 2000 S
C. 222 carteras
Step-by-step explanation:
A. Ingresos totales = q × (230 - q) = 230 · q - q²
El costo unitario = S / 20
El costo fijo = S / 2000
Costo total para producir q unidades = q × (S / 20 + S / 2000) = 101 × q / 2000 S
B. Las ganancias totales = Ingresos totales- Costo total
Las ganancias totales = 230 · q - q² - 101 · q / 2000
Las ganancias totales = 229.9495 · q - q²
C, cuando las ganancias obtenidas = 1800 soles, tenemos;
1800 = 229.9495 · q - q²
q² -229.9495 + 1800 = 0
(q - 8.114) × (q - 221.84) = 0
Por lo tanto, q = 8.114 o q = 221.84
Por lo tanto, sabemos que q> 50, por lo tanto, el valor correcto de q = 221.84 o 222 carteras.
p and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .
On what interval must |q| fall on?
A [7√6/24,[infinity])
B [12√3−7√2,[infinity])
C [12√3+7√2,[infinity])
D [4√6/7,[infinity])
Answer:
Option B is correct
Step-by-step explanation:
Given: [tex]\left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}[/tex]
To find: interval on which [tex]\left | q \right |[/tex] must fall
Solution:
[tex]\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)[/tex]
[tex]\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)[/tex]
Subtract (ii) from (i)
[tex]-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}[/tex]
So, [tex]\left | q \right |[/tex] must fall in interval [tex][12\sqrt{3}-7\sqrt{2},\infty)[/tex]
Therefore, option B is correct.
What is the midpoint of the line segment with endpoints (-5.5,-6.1) and (-0.5,9.1)
Answer:
(-3, 1.5)
Step-by-step explanation:
Take the averages of the x-coordinates and y-coordinates of the 2 points
-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.
-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.
The midpoint will be (-3, 1.5)
Select correct answer pls^^
It takes 48 hours if 12 people built the same wall.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
3 x 12 x 129
Step-by-step explanation:
You can get your answer
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x