Answer:129
Step-by-step explanation:you just have to add them together
Final answer:
The probability that the card drawn by Roger from a standard deck is not red is 50%, as exactly half of the cards in a standard deck are black (non-red).
Explanation:
The student has asked what the probability is that a card drawn from a standard deck of 52 cards is not red. Given that half the cards are red (diamonds and hearts) and the other half are black (clubs and spades), we can easily calculate this probability.
Since there are 26 black cards (13 clubs and 13 spades) out of a total of 52 cards, the probability of drawing a black card is 26 out of 52, which can be simplified to 1/2 or 0.5. Therefore, the probability that Roger draws a card that is not red is 50%.
which ordered pair is not included in the graph of p=3m+6
A.) (1,9)
B.) (3,12)
C.) (10,36)
D.) (6,18)
Answer:
(3,12) and (6,18)
Step-by-step explanation:
An order pair is not included if it make the equation false. Substitute each pair to determine this.
(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE
(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE
(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE
(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE
The correct answer is option (B)(D) because the ordered pair (3,12) and (6,18) is not included in graph of [tex]\( p = 3m + 6 \)[/tex].
To determine which ordered pair is not included in the graph of [tex]\( p = 3m + 6 \)[/tex], we need to verify each pair against the equation [tex]\( p = 3m + 6 \)[/tex].
The equation [tex]\( p = 3m + 6 \)[/tex] represents a linear relationship where [tex]\( m \)[/tex] is the independent variable (input) and [tex]\( p \)[/tex] is the dependent variable (output).
Let's check each ordered pair:
A) [tex]\( (1, 9) \)[/tex]:
[tex]\[ p = 3 \times 1 + 6 = 3 + 6 = 9 \][/tex]
This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].
B) [tex]\( (3, 12) \)[/tex]:
[tex]\[ p = 3 \times 3 + 6 = 9 + 6 = 15\neq 12 \][/tex]
This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].
C) [tex]\( (10, 36) \)[/tex]:
[tex]\[ p = 3 \times 10 + 6 = 30 + 6 = 36 \][/tex]
This pair satisfies the equation [tex]\( p = 3m + 6 \)[/tex].
D) [tex]\( (6, 18) \)[/tex]:
[tex]\[ p = 3 \times 6 + 6 = 18 + 6 = 24 \][/tex]
This pair does not satisfy the equation [tex]\( p = 3m + 6 \)[/tex].
what does 3(x+4)= equal
[tex]3(x+4)=3x+12[/tex
Answer:
3x + 12
Step-by-step explanation:
3(x+4) => (3 · x) + (3 · 4) => 3x + 12
Graph the equation below by plotting the y-intercept and a second point on the line.
The y-intercept is the Y coordinate when X = 0
replace x with 0 and solve for Y:
y = 3/2(0)-5 = -5
The first point using the Y-intercept would be (0,-5)
Now to find another point replace X with another number other than 0 and solve for Y.
Lets use 2:
y = 3/2(2) - 5
y = 3-5 = -2
The second point would be (2,-2)
Now plot those two points and connect with a line.
See attached picture of how it should look:
multiply 12x to the 4th (-5 over 6x to the 3rd y squared)
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf 12x^4\cdot -\cfrac{5}{6x^3y^2}\implies -\cfrac{12\cdot 5\cdot x^4}{6x^3y^2}\implies -\cfrac{12}{6}\cdot \cfrac{5}{1}\cdot \cfrac{x^4}{x^3y^2}\implies -2\cdot 5\cdot \cfrac{x^4x^{-3}}{y^2} \\\\\\ -10\cdot \cfrac{x^{4-3}}{y^2}\implies -10\cdot \cfrac{x}{y^2}\implies -\cfrac{10x}{y^2}[/tex]
8398 divide by 10 then by 100
Answer:
8.398
Step-by-step explanation:
If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal
8398 / 10 = 839.8 Move the decimal 1 place.
839.8/100 = 8.398 Move the decimal 2 places.
In both instances, move the decimal left.
A soup pot will hold 14 cups or water. How many quarts will the pot hold?
(Set up as a proportion and solve)
Answer:
3.5 Quarts
Step-by-step explanation:
we know that;
4 cups = 1 Quart
Therefore;
1 cup = 1/4 Quart
Therefore;
14 cups will be equivalent to ;
= 14 × 1/4
= 14/4 Quarts
= 3.5 Quarts
solve c2=a2+b2 for b
Answer:
A^2+B^2=C^2
B^2=C^2-A^2
B=SQRT(C^2-A^2
Step-by-step explanation:
Answer:
[tex]b=\sqrt{c^2-a^2}[/tex].
Step-by-step explanation:
The given expression is [tex]c^2=a^2+b^2[/tex].
We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.
[tex]c^2-a^2=b^2[/tex].
We take the square root of both sides to get;
[tex]\pm \sqrt{c^2-a^2}=b[/tex].
Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then
[tex]b=\sqrt{c^2-a^2}[/tex].
PLEASE HELP!!!!!!!!!!!!!!!!
Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think
Answer:
Minimum: 4
Maximum: 10
Median: 6
Lower Quartile: 5
Upper Quartile: 9
IQR: 4
Step-by-step explanation:
Minimum: 4
Maximum: 10
Median: 6
Lower Quartile: 5
Upper Quartile: 9
IQR: 4
IQR = Upper quartile - lower quartile
Can someone please explain how to solve it ??
if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get
[tex]4 \times 2[/tex]
Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get
[tex]3 \times 2[/tex]
add both equations and you get
[tex](4 \times 2) + (3 \times 2)[/tex]
The answer is 14cm! Don't forget to label. ;)
Please answer this question ASAP.
Let c = angle TPS
This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.
We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.
So we have these two equations
a+c = 90
b+c = 90
If we were to subtract straight down then we would end up with
a-b = 0
which solves to
a = b
after adding b to both sides
If the sum of a number and its square is 182, what is the number ?
Answer:
-14 or 13
Step-by-step explanation:
x + x^2 = 182
x^2 + x - 182 = 0
rearrange and solve by completing the square
x^2 + x = 182
x^2 + x + 1/4 = 182.25
(x + 1/2)(x + 1/2) = 182.25
(x + 1/2)^2 = 182.25
x + 1/2 = root 182.25
x = + or - root 182.25 - 0.5
x = + or - 13.5 - 0.5
x = 13 or x = - 14
Answer:
- 14 or 13
Step-by-step explanation:
let the number be n then it's square is n² and
n² + n = 182 ( subtract 182 from both sides )
n² + n - 182 = 0 ← in standard form
(n + 14)(n - 13) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 14 = 0 ⇒ n = - 14
n - 13 = 0 ⇒ n = 13
As a check
(-14)² - 14 = 196 - 14 = 182
13² + 13 = 169 + 13 = 182
What is the explicit formula for this geometric sequence? 8, 4, 2, 1
Answer:
a[n] = 2^(4-n)
Step-by-step explanation:
There are many ways the formula for the given sequence can be written. The first term (a[1]) is 8 and the common ratio (r) is 1/2, so the generic form is ...
a[n] = a[1]·r^(n-1)
a[n] = 8·(1/2)^(n-1)
___
If we recognize that 8 = 2^3 and 1/2 = 2^-1, then we can write this as ...
a[n] = 2^3·(2^-1)^(n-1) = 2^(3 -n +1)
a[n] = 2^(4 -n)
Answer:x2
Step-by-step explanation:
*Easy!* Will mark brainest! Determine whether the given equations are parallel, perpendicular or neither.
y=-7
x=4
Answer:
The lines are perpendicular because the y=-7 is horizontal and the line x=4 is vertical. They intersect at a 90 degree angle
:D brainliest?
Step-by-step explanation:
This is not a linear equation!! You have to have 2 variables, y and x in the same equation in order for this to be made into a line.
You can use the equations y=kx for proportional lines or y=mx+b, which is slope-intercept form.
For example, y=2x-4.
Sorry I can't do more.
Tori examined the pattern of exponents in the table.
Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
[tex]6^{1} = 6[/tex]
so
[tex]6^{-1} = \frac{1}{6^{1} }[/tex]
= 1/6
and
[tex]6^{2} = 36\\[/tex]
So,
[tex]6^{-2} = \frac{1}{6^{2} }[/tex]
= [tex]\frac{1}{36}[/tex]
The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?
Answer:
The volume of cube = x³ -6x²y + 12xy² - 8y³
Step-by-step explanation:
It is given that,
Side length of cube s = (x - 2y)
Volume of cube = s³
Points to remember
(a - b)³ = a³ - 3a²b + 3ab² - b³
To find the volume of cube
s = (x - 2y)
Volume V = s³ = (x - 2y)³
(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³
= x³ -6x²y + 12xy² - 8y³
Therefore the volume of cube = x³ -6x²y + 12xy² - 8y³
Answer:
[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
Step-by-step explanation:
We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.
[tex]Volume = (x-2y)^3[/tex]
We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]
So expanding the given expression accordingly:
[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]
Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
(03.05 MC) Daisy recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil –48.1 °C Palm oil 24.1 °C Which statement about the temperatures at which these oils freeze is true? (1 point) Select one: a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C. b. Cottonseed oil freezes at a higher temperature than palm oil because –48.1 °C > 24.1 °C. c. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C > 24.1 °C. d. Cottonseed oil freezes at a higher temperature than palm oil because –48.1 °C < 24.1 °C.
Answer:
a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C
Step-by-step explanation:
–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil
Answer:
a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C
Step-by-step explanation:
–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil
there are 3 different cheeses at the deil. yasuko buys 3/4 of a pound of each there are also 4 different meats she buys 1/2 of a pound of each how much total food did yasuko buy at the deil
Answer:
explanation below
Step-by-step explanation:
3/4+3/4+3/4=9/4 or 2 1/4 pounds of cheese
1/2+1/2+1/2+1/2= 4/2 or 2 pounds of meat
so in total he buys 2 and 1/4 a pound of cheese and 2 pounds of meat or 4 1/4 pounds of total product
Answer:
The total food that yasuko did buy at the deli was: 4 1/4 pounds.
Find the area of a parallelogram who vertices ate (2,1), (7,1), (9,5) and (4,5)
Answer:
20 units
Step-by-step explanation:
The area of a parallelogram is A =b*h. Find the base and height by looking at the points. The distance between (2,1) and (7,1) is 5. The height between (9,5) and (7,1) must be found as a perpendicular height. It is 4 and is the distance between y coordinates or 5 - 1 = 4. See attached picture.
So the area is A = b*h = 5*4 = 20
7+12+21+34 Please find the mean!
Answer:
Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean
Answer:
The answer is 18.5.
Step-by-step explanation:
First, we have to add them all.
7 + 12 + 21 + 34 = 74
Next, we divide the sum by how many numbers we added (we added four numbers).
74 / 4 = 18.5.
I hope this helped! :-D
A number that multiple by itself equal a given number is what
Answer:
I don't understand the question, but...
When you multiply a number by itself, you are squaring it.
For Example:
3 x 3= 9
is the same as...
3^2= 9
Evaluate √121.
A.11
B.12
C.13
D.14
[tex] \sqrt{121} [/tex]
[tex] \sqrt{11 \times 11} [/tex]
A. 11
Answer:
A.11
Step-by-step explanation:
sqrt(121)
What number times itself is 121
11*11 = 121
-11*-11 =121
We have two options 11 or -11
Given our choices
A.11
if shawna was tosses a dime and a nickel through the air at the same time what is the probability that they will both land on heads
Answer:
1/4
Step-by-step explanation:
There are two sides of each coin and there are two coins together there is 4 total sides. That means there are a total of 4 possibilities and the probability that they will both land on heads is one probabilty which means 1/4
Answer:
0.25, or 1/4
Step-by-step explanation:
The two coins fall independently of one another.
The chances that either will land with heads up is 0.5.
The chance that both coins land with heads up is thus (0.5)(0.5) = 0.25 or 1/4
One side of a square is 4x, what is the area of this square?
Answer:
16x^2
Step-by-step explanation:
To find the area of a square, we use the formula
A = s^2 where s is the side length
A = (4x)^2
A = 16x^2
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, you need to find how to find the area.
length*width
Since all sides of a square are the same:
4x*4x
16x^2 is the area of the square.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ TROLLER (don't worry, I didn't troll you)
Olive’s solar powered scooter travels at a rate of 30 miles per hour. What equation can she use to calculate her distance with relation to the time she is traveling?
To get total miles traveled, multiply 30 miles per hour by number of hours.
The equation would be m = 30h
Answer:
The answer is m=30h
Your welcome :)
Ken ate 2⁄7 of the chocolate bar one day and 8⁄14 the next day. How much of the chocolate bar did Ken eat?
Answer:
6/7
In decimal form it would be 0.85714285714
Answer:
6/7
Step-by-step explanation:
Add 2/7 and 8/14:
Recognize that the LCD is 14. Rewrite 2/7 as 4/14.
Then 4/14 + 8/14 = 12/14. This reduces to 6/7.
Ken ate 6/7 of the chocolate bar in two days.
What is area of this face
Answer:
The area of that face is 28
Step-by-step explanation:
because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28
Answer:
[tex]28in^{2}[/tex]
Step-by-step explanation:
We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.
So, the area of the rectangle is
[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]
Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is
[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]
The total area would be
[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]
Therefore, the right answer is [tex]28in^{2}[/tex]
the sum of two numbers is 65. the smaller number is 21 less than the larger number. what are the numbers?
Answer:
x=43 and y=22
Step-by-step explanation:
x + y = 65
let y = smaller the y = x -21
Then x + (x - 21) = 65
2x = 86
x = 43
then plug that into y = 43 - 21 = 22
X will be 43 as my will be 22.
Hope this helps.
The length of AB (the minor arc) is 20 cm. What is the circumference of c
Answer:
D. 720 cm
Step-by-step explanation:
20/10 = x / 360
2 = x / 360
x = 360 * 2
x = 720
Answer
D. 720 cm
The circumference of a circle is greater than the length of any of its arcs. Without knowing what fraction of the circle's circumference the arc makes up, it's impossible to calculate the exact circumference from the arc length.
Explanation:The arc length 's' is the distance traveled along a circular path, and the radius of curvature 'r', is the radius of the circular path. The circumference of a circle can be found using the formula 2πr, and the length AB, if it corresponds to the minor arc, can be the fraction of the entire circle. This fraction is determined by the relation between the length of the arc and the full circumference. Thus, if the length of AB is 20cm, then we can infer that 2πr (the full circumference) is greater than 20cm.
To find the exact value you'd need to know what fraction of the circle the minor arc AB represents. Without this information, we can only conclude that the length of the minor arc is smaller than the circumference (2πr) of the whole circle.
Learn more about Circle Circumference here:https://brainly.com/question/33875792
#SPJ11
add and express your answer in standard form (2x to the 4th +x to the third -4x squared +3) +(4x to the 4th -2x to the third-x squared +10x+2)
Answer:
[tex]\large\boxed{(2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)=6x^4-x^3-5x^2+10x+5}[/tex]
Step-by-step explanation:
[tex](2x^4+x^3-4x^2+3)+(4x^4-2x^3-x^2+10x+2)\\\\=2x^4+x^3-4x^2+3+4x^4-2x^3-x^2+10x+2\qquad\text{combine like terms}\\\\=(2x^4+4x^4)+(x^3-2x^3)+(-4x^2-x^2)+10x+(3+2)\\\\=6x^4-x^3-5x^2+10x+5[/tex]
Given that cos(30°) = cos(45°)cos(15°) + sin(45°)sin(15°), it follows that cos(30°) =
Answer:
[tex]cos(30\°) = cos(45\°-15\°)[/tex]
Step-by-step explanation:
To solve this problem you must know the formula of subtraction of angles for the function cosx.
The formula is:
[tex]cos(h-d) = cos(h)cos(d) + sin(h)sin(d)[/tex]
We can write 30° as: 45° - 15°
Then:
[tex]cos(30\°) = cos(45\°-15\°)[/tex]
Using the formula for subtraction of angles we have:
[tex]cos(45\°-15\°) = cos(45\°)cos(15\°) + sin(45\°)sin(15\°)[/tex]
Notice that we have achieved the expression shown in the statement
Finally:
[tex]cos(30\°) = cos(45\°-15\°)[/tex]
Answer:
square root 3/2
Step-by-step explanation:
on usatestprep and the unit circle