Explanation:
There are 4 jacks (one of each suit) and 13 clubs. This gives 4+13 = 17 cards that are either jack or club. However, we double-counted the jack of clubs which means there are really 17-1 = 16 cards that are one or the other or both.
This is out of the 52 total mentioned. So we end up with the probability:
16/52 = (4*4)/(4*13) = 4/13
Help please. Been stuck for a few mins now.
Answer:
p = -3v: (4, -1)f: (4, -4)d: y = 2Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
_____
Additional comment
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
X-2y=2 in slope intercept form
Answer:
I believe it's written y = 1/2x - 1
Hope this helps :)
what is the least common denominator of 10 and 14
Answer:
70
Step-by-step explanation:
Given -
the least common denominator of 10 and 14 is - *70*
Prime factor of 14 are 2 and 7
14 = 2 * 7
Prime factor of 10 are 2 * 5
10 = 2 * 5
Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10
LCM (10,14) = 2 * 5 * 7
LCM (10,14) = 70
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Answer:
k = 7
Step-by-step explanation:
Vertical shift down by 7units, f(x) - 7
g(x) = (0.5)x - 7
g(x) = (0.5)x - k
Comparing both equations, k = 7
Answer:
k = 7
Step-by-step explanation:
it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.
What is the angle, in degrees, when the coordinate is [tex](-\sqrt{2} /2), \sqrt{2} /2)[/tex] ? Pls help thanks
Answer:
135°
Step-by-step explanation:
seg AB=seg OB
tan ∠AOB = 1
∠AOB = 45°
∠AOC = 135°
Anyone know this? please help and Thank you very much!!!
[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]
what is the correct answer to: 0.9 x (8.2 x 20.35)
Answer:
150.183
Step-by-step explanation:
0.9 x (8.2 x 20.35) =
0.9 x (166.87) =
150.183
Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?
Julio's number is?
Answer:
30
Step-by-step explanation:
first, create two equations.
let x = Julio's number and y = answer for Julio's number substrates 17
[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]
by using substitution method, you will get
[tex]x = 30 \\ y = 13[/tex]
so the answer is 30
help with this problem pls
Answer:6_1/4
Step-by-step explanation:
They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.
This means that you just have to divide 18_3/4 bu 3, which is 6_1/4
Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answer: The answer is C.
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
Select the graph of the equation y + x + 3 = 0.
Answer:
C.
Step-by-step explanation:
The picture I took is underneath.
It costs Chevy $20,000,000 to develop and market a new model of a car. The company sells each car for $25,000, How many cars
must Chevy sell to make more than
$5,000,000 in profits?
Answer:
I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.
Step-by-step explanation:
Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:
5,000,000 = 25,000x -20,000,000
Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.
25,000,000=25,000x
x=1,000
we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.
y=-4(5)x for x=2 Evaluate the problem
Answer:
y = - 100
Step-by-step explanation:
Assuming you mean
y = - 4[tex](5)^{x}[/tex] ← substitute x = 2
y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100
Simplify:
-5x - 2(3x - 7) + 4(3x - 5) - (6x -9)
Answer:
7x+3
Step-by-step explanation:
-5x+6x+14+12x-20-6x+9
combine like terms
7x+3
please please help i beg ill give brainlist
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.
Recommendations Skill plans A Math FL Standards Algebra 1 > J.10 Solve one-step and two-step equations: word problems UFG You have prize On a sunny fall day, Raymond and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs 20 pounds. In all, Raymond's family picks 44 pounds of apples. Which equation can you use to find the weight w of the Golden Delicious apples? W + 20 = 44 20w = 44 W - 20 = 44 = 44 20 Solve this equation for w to find the weight of the Golden Delicious apples. pounds Submit
(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.
(b) The weight of the Golden Delicious apples is 24 pounds.
Let the weight of the Golden Delicious apples = WWeight of the Honeycrisp apples = 20 lbTotal weight of the apples = 44 lb
The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;
Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples
W + 20 = 44
The weight of the Golden Delicious apples is calculated as follows;
W + 20 = 44
collect similar terms together;
W = 44 - 20
W = 24 lb
Learn more about word problem in Algebra here: https://brainly.com/question/17067890
Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.
[tex]x(x^{2} +2x +4) -( x^{2} +2x + 4) . 2=0[/tex]
We have:
[tex]x(x^{2} +2x+4) - (x^{2} +2x+4).2 =0\\<=>(x^{2} +2x+4)(x-2)=0\\<=>x^3-8=0 \\<=>x^3=8\\<=>x^3=2^3\\<=>x=2[/tex]
ok done. Thank to me :>
Bones or no bones day?
Answer:
I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...
Step-by-step explanation:
Answer:Bones Day
Step-by-step explanation:
True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a square.
Answer:
False.
Step-by-step explanation:
The diagonals are at right angles ( because of the negative reciprocal slopes)
so it could be a square or a rhombus.
The given figure can be a rhombus or square.
What is square?The square is a 4 - sided figure, each side of the square is equal and makes a right angle.
The area of a square having sided a unit can be given by a² square unit.
Given that,
A figure has equal length of opposite sides.
Also, slopes and diagonals are equal with negative reciprocals.
Since, The square and rhombus both have equal sides and equal diagonals,
But a square makes right angle on sides.
In the given question, right angle is not given.
Therefore, the figure can be square or rhombus.
To know more about Square on:
https://brainly.com/question/28776767
#SPJ2
Which of these four sets of side lengths will form a right triangle?
Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0
Answer: The Third option
Step-by-step explanation:
1/36a^4b^10
Hope this is right!
The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.
Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹
= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)
= (a⁶)/(3²2²a¹⁰b²b⁸)
= 1/36a⁴b¹⁰
Therefore, option C is the correct answer.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?
Answer:
Alyssa's Sister = 18, Alyssa = 30
Step-by-step explanation:
48 = 2x-6 + x
54 = 2x + x
54 = 3x
18 = x
2(18) - 6
36 - 6
30
48 = 2(18) - 6 + 18
48 = 36 - 6 + 18
48 = 30 + 18
48 = 48
100 Point question answered ASAP for brainliest!
Step-by-step explanation:
that is really easy too easy for that many points.
it is truly simple :
the graph (and with it the function) is shifted down by 3 units.
that means everything of the function stays the same, just the functional results are consistently lowered by 3.
so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10
that is really all there is to it.
Please help
What is the domain and range of the function
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
its A
Step-by-step explanation:
If you were to graph the function f(x)=−15x+4 on the semester test, you should first graph the y-intercept, then use the slope to graph a second point, and connect the points with a line.
Write the y-intercept of the function f(x)=−15x+4 in the first box. Just write the number, no y= or f(x) =.
Write the slope of the function f(x)=−15x+4 in the second box. Just write the number, no m= or slope=.
Answer:
4
-15
Step-by-step explanation:
Andrew loses
31 pencils in
October
What is the
lose rate per
day?
Answer:
1
Step-by-step explanation:
there are 31 days in October so if he loses one each day he loses 31
Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 8 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
