Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
A class of girls to boys is 5:3. If there are 9 boys, how many girls are in this class
Answer:
15 girls
Step-by-step explanation:
Girls : Boys
5 3
To get to 9 boys multiply by 3
Girls : Boys
5*3 3*3
15 9
There are 15 girls
How do I solve for this?
Answer:
use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )
(-2+3/2 ; -2+4/2 )
X = 1/2 ; Y = 1
factorise:
k² - 2k - 8
with explaining the steps
Answer:
( k-4)(k+2)
Step-by-step explanation:
k² - 2k - 8
What 2 numbers multiply to -8 and add tp -2
-4*2 = -8
-4+2 = -2
( k-4)(k+2)
Refer to the attachment for steb-by-step explanation.
4. Translate “5 plus the product of 9 and y" into an algebraic expression.
Answer:
5 + 9y
Step-by-step explanation:
When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.
HELP ME PLEASE
find the volume???
Answer:
5.24m
Step-by-step explanation:
volume of a cone = (1/3)πr²h
= (1/3)×(22/7)×1²×5
= 5.24m
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answer:767
Step-by-step explanation:
please help i have 10 minutes left: )!<3 thank you:) no links please
A culture of bacteria has an initial population of 590 bacteria and doubles every 4 hours. Using the formula P+ = Po · 23, where P4 is the population after t hours, Po is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
1,985
Step-by-step explanation:
p = 590(2)^(7/4)
p = 1,985
What number is not a factor of 24
The function f(x) is shown below.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
Answer:
f(g(2)) = 2
Step-by-step explanation:
g(2)
g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]
f(g(2))
[tex]g(2) = -3[/tex]
Thus
[tex]f(g(2)) = f(-3)[/tex]
Looking at the table, when [tex]x = -3, f(x) = 2[/tex]
Thus: [tex]f(g(2)) = 2[/tex]
An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(x) represents the loss on the sale of x Type M cars. What do these values tell you about losses?
Answer:
The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.
Step-by-step explanation:
Given
[tex]L(50) = 8000[/tex]
[tex]L'(50) = -500[/tex]
Required
Interpret
From the question, we understand that:
[tex]x \to[/tex] Number of cars
[tex]L(x) \to[/tex] Profit on x cars
Using the above as a point of reference,
[tex]L'(x) \to[/tex] Rate of loss per x cars
So, the interpretations are:
[tex]L(50) = 8000[/tex]
A loss of 8000 on 50 cars
[tex]L'(50) = -500[/tex]
The loss rate is a reduction of 500 per 50 car
Math question!!!!!!!! Plz help
Answer:
A (-1)
Step-by-step explanation:
If you look on number line -1 is more left (smaller).
Answer:
-1
Step-by-step explanation:
-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1
Please help I’ll give brainliest
Answer:
15
Step-by-step explanation:
15 cubed (15×15×15) equals 3375
How does 3/4 and 9/12are alike and different?
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by
Answer:
The family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)
Where:
[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.
[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]
If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:
Minimum ([tex]\cos \theta = 0[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]
Maximum ([tex]\cos \theta = 1[/tex])
[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]
With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:
[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]
The dot product between the two vectors is the product of the magnitude between them times cosine angle.
The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
To find the value of [tex]p[/tex] we need to perform the dot product of two equation.
How do you multiply vector in dot product?The dot product between the two vectors is the product of the magnitude between them times cosine angle
Given information-
The vector equation given in the problem is,
[tex]a = p\hat i +3\hat j - 7\hat k[/tex]
[tex]b = p\hat i - p\hat j +4\hat k[/tex]
For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.
Thus,
[tex]a .b<0[/tex]
Put the values,
[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]
In the dot product the multiplication of different unit vector is zero. Thus,
[tex]p^2-3p-28<0[/tex]
Factorize above equation using the split the middle term method as,
[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]
As the factor of the above equation is 7 and -4.
Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].
Learn more about the dot product here;
https://brainly.com/question/9956772
URGENT PLEASE HELP ANSWER ASAP FOR BRAINLIEST !!!!!!!!!!
1/2
Hope this helps! :)
______________
Answer:
1/2
Step-by-step explanation:
you use rise/run so its (0,1) and (2,2) you move to the right 2 points and rise 1 so its 1/2 so its 0.50
help meee plssss!!!!!
Circumference of circle is 62.8 inches.
Step-by-step explanation:
Using Formula
Circumference of circle = 2 π r
Substitute the values
Circumference of circle = 2 × 3.14 × 10 inches.
multiply the numbers
Circumference of circle = 62.8 inches
Hence, the circumference of circle is 62.8 inches.
(12 ÷ 3 ∙ 2) + 4 − 5
Answer:
7
Step-by-step explanation:
(4·2)+4-5
8+4-5
12-5=
7
Solve for x
Show work
Answer:
10x is equal to 100 so 100+6=106
then
Step-by-step explanation:
4x is equal to 8 so 4+18=22
so it's 128
Which expression is equivalent to the expression below? 4 x 2/3 A.
A. 6 x 1/3
B.10 x 1/3
C. 2 x 1/3
D. 8 x 1/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Simplifying it:}[/tex]
[tex]\mathbf{4\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{4}{1}\times\dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
[tex]\rightarrow\large\text{Finding out what is equal to: }\rm{\dfrac{8}{3}}\leftarrow[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Option A.}[/tex]
[tex]\mathbf{6\times \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{6}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{6\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{6}{3}}[/tex]
[tex]\mathbf{= 2}[/tex]
~~~~~
[tex]\rm{\bf 2 \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option B.}[/tex]
[tex]\mathbf{10\times \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{10\times1}{1\times 3}}[/tex]
[tex]\mathbf{= \dfrac{10}{3}}[/tex]
~~~~~~
[tex]\rm{\bf \dfrac{10}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~~
[tex]\huge\text{Option C.}[/tex]
[tex]\mathbf{2\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{2\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{2}{3}}[/tex]
~~~~~
[tex]\rm{\bf \dfrac{2}{3} \neq \dfrac{8}{3}}[/tex]
~~~~~
[tex]\huge\text{Option D.}[/tex]
[tex]\mathbf{8\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8}{1}\times\dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{8\times1}{1\times3}}[/tex]
[tex]\mathbf{= \dfrac{8}{3}}[/tex]
~~~~~
[tex]\rm{\dfrac{8}{3} = \dfrac{8}{3}}\large\checkmark[/tex]
~~~~~
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{Option\ D. 8\times \dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What Is the measure of DEF?
Answer:
107
Step-by-step explanation:
EFD + 135 = 180
EFD = 45
DEF + 28 + 45 = 180
DEF + 73 = 180
DEF = 107
Answer:
∠ DEF = 107°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
135° is an exterior angle of the triangle , then
∠ DEF + 28° = 135° ( subtract 28° from both sides )
∠ DEF = 107°
Find the distance between (5.8) and (-2,3)
Answer:
distance between the points is 8.602325267 units
Step-by-step explanation:
(5 , 8)=(x1 , y1)
(-2 , 3)=(x2 , y2)
use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]
=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]
=[tex]\sqrt{49 + 25}[/tex]
=[tex]\sqrt{74[/tex]
=8.602325267 units
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
suppose that 14 inches of wire costs 84 cents at the same rate how much (in cents) will 7 inches of wire cost?
Answer:
Step-by-step explanation:
84 cents divided by 14 inches = 6 cents per inch
48 cents divided by 6 cents = 8 inches
8 inches of wire can be bought for 48 cents
The slope of the line below? answer quickly
Answer:
D: - 2/7
Step-by-step explanation:
The gradient of the line is -2/7 because:
3-1 =2
-4-3=-7
2/-7
What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m
Answer: The surface area (SA) would be 62 m.
Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can substitute the length, width and height into the problem and get
SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the parentheses and get SA= 2(31), and 2×31=62.
I need it fast plss help someone help
56 over 15
hope this help yoooooooooooooooooooo
Answer:
22/15
Step-by-step explanation:
(1/3 + 2/5) x (2 - 1/2) ÷ 3/4
=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4
=11/15 x 3/2 ÷ 3/4
=11/15 x 3/2 x 4/3
=22/15
Hope this helps! Have a nice day!
A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back? *
23, 24, 25, 20, 25, 29, 24, 25, 30
Mean?
Median?
Mode?
Range?
Please help?
Answer:
median = 25. that's the answer
Answer:
Mean - 25
median - 25
range - 10
mode - 25
three-quarter the product of two numbers x and y, what is the algebriac expression?
Answer:
x × y =3/4
Step-by-step explanation:
Product is the keyword and it is the answer to a multiplication equation. Thats why it is a multiplication symbol.
Have a great day! Late ik.
Lilac~
An algebraic expression for the given statement is 3/4 xy.
Given that, three-quarters is the product of two numbers x and y.
We need to write an algebraic expression for the given statement.
What is an algebraic expression?Algebraic expressions are the mathematical statement that we get when operations such as addition, subtraction, multiplication, division, etc. are operated upon on variables and constants.
Now, the product of two numbers x and y=xy
Three-quarters is the product of two numbers x and y=3/4 xy
Therefore, an algebraic expression for the given statement is 3/4 xy.
To learn more about an algebraic expression visit:
https://brainly.com/question/19245500.
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