Answer:
48
Step-by-step explanation:
This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.
Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the options are as follows:
There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].There are 3 shirts, hence [tex]n_2 = 3[/tex].There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].Hence, the total number of options given by:
[tex]N = 4 \times 3 \times 4 = 48[/tex].
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
#SPJ2
what is 6(1-10p)-7 jfghhdddcv
Answer:
-1 -60p
hope it helps
Step-by-step explanation:
6 (1-10p) -7
First solve 6(1-10p) using distributive property of subtraction
(6*1)-(6*10p) -7
= 6-60p -7
Add the constants of the equation
= (6-7) -60p
= -1 - 60p
Answer:
-60p-1
Step-by-step explanation:
Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p
So then the answer is -60p-1.
THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points please help me I would appreciate it!!! There are 2 questions please can you answer them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Part A = 2
Part B = I'm unsure, sorry.
Step-by-step explanation:
Answer:
Part A= 2
Step-by-step explanation:
Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?
Answer:
6 Fancy shirts
Step-by-step explanation:
URGENT The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 158. If state A has more counties than state B, how many counties does each state have?
how to solve 4(7-3x)=7(4-2x)
Answer:
Step-by-step explanation:
First, you distribute the 4 and 7 to the stuff inside the parentheses 28 - 12x = 28 - 14x then add 28 to both sides -12x = -14x then add 14x to both sides 2x = 0 then divide both sides by 2 x = 0
Answer:
x=0
Step-by-step explanation:
4(7-3x)=7(4-2x)
Distribute
28 -12x = 28 -14x
Subtract 28 from each side
-12x = -14x
Add 14x to each side
-12x+14x = -14x+14x
2x=0
x =0
A wheelchair ramp is 8.0 m long. The angle of inclination is 10°. Calculate the rise of
the ramp to the nearest tenth of a meter.
Answer:
The height of the ramp is 1.39 m.
Step-by-step explanation:
We have,
A wheelchair ramp is 8.0 m long
The angle of inclination is 10°
It is required to find the rise of the ramp.
Here, hypotenuse is 8 m and angle of inclination is 10°.
Using trigonometry to find it.
[tex]\sin\theta=\dfrac{x}{8}[/tex]
x is rise of the ramp
[tex]x=\sin(8)\times 10\\\\x=1.39\ m[/tex]
So, the height of the ramp is 1.39 m.
What is the coordinate of point P that lies along the directed line segment from Q(2,5) to R7, 12) and partitions the segment in the ratio of 3 to 2?
Your answer.
0 (3, 42)
O(4.5, 8.5)
O (5,9.2)
O (5,7)
Clear answer
Answer:
Step-by-step explanation:B
A number is multiplied by 5. If 5 is added to the product, you get 10. What is the number?
Answer:
The unknown number is 1.
Step-by-step explanation:
You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :
[tex]x \times 5[/tex]
[tex] = 5x[/tex]
Secondly, 5 is added to product and you will get 10 :
[tex]5x + 5 = 10[/tex]
Lastly, you have to solve :
[tex]5x + 5 = 10[/tex]
[tex]5x = 10 - 5[/tex]
[tex]5x = 5[/tex]
[tex]x = 5 \div 5[/tex]
[tex]x = 1[/tex]
Answer:
2
Step-by-step explanation:
if you divide
10 by 5
you get two
The parent function f(x) = 5 ^ x has been venically compressed by a factor of one-half shifted to the three units and up two units choose the correct function
Answer:
See the explanation
Step-by-step explanation:
The given function is:
f(x) = 5ˣ
Transformation of a parent function is given by the formula:
g(x) = k · f(x + a) + b
Where
k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1
f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0
f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0
In the question it is given:
k = 1/2
Shifts right by 3 units ⇒ a = -3
Shift up by 2 units ⇒ b = 2
Substitute in the formula:
g(x) = (1/2) · f(x - 3) + 2
[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]
the bearing of m from N is 70 degree what is the bearing gor N from M ?
Answer:
250°
Step-by-step explanation:
The bearing of N from M is 70° + 180° = 250°
Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?
Answer:
16.50 dollars
Step-by-step explanation:
We can use proportion
8 euros --- 11 dollars
12 euros --- x dollars
x = 12 * 11/8 = 16.5= 16.50 dollars
Answer:
16.5 dollars
Step-by-step explanation:
Let's make a proportion using the following setup.
dollars/euros=dollars/euros
Tommy can get 11 dollars for 8 euros. We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.
11 dollars/8 euros=x dollars/12 euros
11/8=x/12
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.
12*(11/8)=(x/12)*12
12*11/8=x
12*1.375=x
16.5=x
Tommy can get $16.50 with 12 euros.
The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.
Answer:
y=7/10+3/10
Step-by-step explanation:
Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?
Answer:
If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.
Step-by-step explanation:
Answer:
the answer is y(12-x)
Step-by-step explanation:
i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelogram, if DG = GH, AB = 39 in, GP = 12 in.
Answer:
The area of a parallelogram is 360 in.²
Step-by-step explanation:
Where DG = GH
GP = 12 in.
AB = 39 in.
∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)
Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH
Therefore, ∠GAB + ∠HBA = 90°
Hence, ∠BPA = 90° (Sum of interior angles of a triangle)
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}[/tex]
We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)
∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)
Hence AD = DG (Side length of isosceles triangle)
The bisector of ∠ADG is parallel to BH and will bisect AG at point Q
Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP
Hence, AP = 3 × GP = 3 × 12 = 36
[tex]cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}[/tex]
[tex]\angle GAB = cos^{-1} \left (\dfrac{36}{39} \right )[/tex]
∠GAB = 22.62°
[tex]cos(\angle GAB) = \dfrac{36}{39} = \dfrac{12}{GH}[/tex]
[tex]GH = \dfrac{39}{36} \times {12}[/tex]
GH = 13 in.
∴ AD 13 in.
BP = 39 × sin(22.62°) = 15 in.
GH = √(GP² + HP²)
∠DAB = 2 × 22.62° = 45.24°
The height of the parallelogram = AD × sin(∠DAB) = 13 × sin(45.24°)
The height of the parallelogram = 120/13 = 9.23 in.
The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²
Answer:
360 in2
Step-by-step explanation:
The figure ABCD is a parallelogram, so the side AB is parallel to the side DC, and that means the angle mBAG is equal the angle mHGP.
The angles mHGP and mAGD are vertically opposite angles, so mHGP = mAGD.
The angle mDAG is equal the angle mBAG, so mDAG = mBAG = mHGP = mAGD
The angles mDAG and mAGD are equal, so the triangle DAG is isosceles, that means the side DG is equal the side DA.
In the same way, we can find that the angle mCBH is equal the angle mBHC, so triangle BCH is isosceles, meaning that side BC (which is equal side AD) is equal side CH, so we have that:
DG + GH + HC = AB = 39
GH + GH + GH = 39
GH = 13
in the parallelogram we have the property:
mDAB + mABC = 180°
We have that mGAB = mDAB/2 and mABH = mABC/2, so using this information for the sum of internal angles of triangle APB, we have:
mGAB + mABH + mBPA = 180
mDAB/2 + mABC/2 + mBPA = 180
(180/2) + mBPA = 180
mBPA = 90°
If the triangle APB is a right triangle, we can find the cosine of the angle mHGP:
cos(mHGP) = GP / GH = 12 / 13
Then, we can find the sine of mHGP using:
sin(mHGP)^2 + cos(mHGP)^2 = 1
sin(mHGP)^2 + 144/169 = 1
sin(mHGP)^2 = 25/169
sin(mHGP) = 5/13
If we draw the height of the triangle GPH relative to the side GH, we have:
sin(mHGP) = height / GP
5 / 13 = height / 12
height = 60/13
The triangles GPH and APB are similar (using the case angle-angle), so we can use this relation to find the height 'h2' of the triangle APB:
height / (h2+height) = GH / AB
(60/13) / (h2 + (60/13)) = 13/39 = 1/3
180 / 13 = h2 + (60/13)
h2 = 120/13
Then the area of the parallelogram is:
Area = AB * h2 = 39 * 120/13 = 360 in2
Your boss asks you to interpret the following from a custom paint report he has just received. µ ≥400 ml
The true mean volume of paint in each can is
Blank
or
Blank
400 ml.
Answer:
The true mean volume of p
aint in each can is greater than or equals to 400ml
Step-by-step explanation:
The symbol of μ represents the mean of a data.
Mean can be defined as the average value of a set of data
Let consider the question.
We know that
μ ≥ 400ml
Where the sign ≥ means "greater than or equals to"
Which means that μ is greater than or equals to 400ml
So the solution is:
1st blank = greater than
2nd blank = equals to
Evaluate f(-4) for the function f(x) = 5 - X.
Answer:
9Solution,
[tex]f(x) = 5 - x \\ f( - 4) = 5 - ( - 4) \\ \: \: \: \: \: \: \: \: \: \: \: = 5 + 4 \\ \: \: \: \: \: \: \: \: \: = 9[/tex]
hope this helps....
Good luck on your assignment...
Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14?
Answer:
(1, -5) is the solution of the system
Step-by-step explanation:
y = negative 7 x + 2 should be written as y = -7x + 2, and
y = 9 x minus 14 as y = 9x - 14
Use elimination by substitution to solve this system. Equate the two equations together to eliminate y: y = 9x - 14 = -7x + 2.
Combining like terms, we get 9x - 14 = -7x + 2 => 16x = 16
Dividing both sides by 16 yields x = 1.
Substituting 1 for x in the first equation yields the corresponding y-value:
y = -7(1) + 2 = -5
Thus, the ordered pair (1, -5) is the solution of the system.
Answer:
It's B
Step-by-step explanation:
Which statement about the figures shown below is true?
PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST
A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be represented by
S(r) - 0.12. where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.327 Round to the nearest hundredth.
Answer:
$26.300
Step-by-step explanation:
well if its 5 or more u round to the next whole number but if its 5 or under you just round whatever ur rounding into the same number but whole
Help !!!!!!!!!!!!!!!!!
Answer:
The elevation is a nonlinear function.
Step-by-step explanation:
Answer:
It's (B) The elevation is a nonlinear function.
Step-by-step explanation:
I need help pleassseee
Answer:
The length of the radius is 3cm.
Step-by-step explanation:
Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 6 \div 2[/tex]
[tex]radius = 3cm[/tex]
Answer:
[tex]6^{2} - 3^{2} \pi[/tex] = area of the black 7.725666
[tex]x^{2} - r^{2} \pi[/tex]
area of square - area of circle
the diameter of the circle is 6 and half that is the radius = 3
Which equation is a point slope form equation for line AB?
Oy-2=2(x+2)
Oy-6=-2(x+2)
Oy-2=-2(x+6)
Oy- 2 = -2(x+2)
Answer:
y-6= -2(x+2)
Step-by-step explanation:
A= (-2, 6)
B= (2, -2)
y= mx+b
slope:
m= (y2-y2)/(x2-x1)= (-2-6)/(2+2)= -8/4= -2intercept:
6= (-2)*(-2)+b ⇒ b= 6-4= 2the function is:
y= -2x+2y-2=2(x+2) ⇒ y= 2x+6 - no
y-6= -2(x+2) ⇒ y= -2x +2 - yes
y-2= -2(x+6) ⇒ y= -2x - 10- no
y-2= -2(x+2) ⇒ y= -2x- 2 - no
In the diagram below, points A and B represent two lakes. How far apart are the lakes? 131.5 ft 456.3 ft 474.6 ft 633.9 ft
Answer:
I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6
Step-by-step explanation:
The distance between the two lakes = 633.9 ft. So, we take the 4th option.
What is the law of cosines?By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,
c = √(a² + b² - 2.a.b.cos γ)
How do we solve the given question?To solve the question, we will use the law of cosines.
Let a = 560 ft., b = 350 ft., c = d (unknown distance).
γ = 160° - 75° = 85°.
We substitute the values in the formula to get,
d = √(560² + 350² - 2(560)(350)(cos 85°)
or, d = √(313600 + 122500 - 392000*0.0871)
or, d = √(436100 - 34165.05116)
or, d = √401934.948842
or, d = 633.983397
So, we take d = 633.9 ft., the 4th option.
∴ The distance between the two lakes = 633.9 ft.
Learn more about the law of cosines at
https://brainly.com/question/3897392
#SPJ2
Please hurry
What function is represented in the table?
Answer:
B. 3(2^x)
Step-by-step explanation:
3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.
There are 7 red cards and 13 blue cards
in a deck of cards. If Yuki randomly
selects a card from the deck, what is the
probability that it is a red card?
Answer:
7/20
Step-by-step explanation:
#red cards/total # of cards
7/(7+13)
7/20
Answer:
7/20
Step-by-step explanation:
Find x
Please help I really need answers
please help, i need to pass. which function represents the inverse of function f below?
Answer:
B
Step-by-step explanation:
If you switch the x and y you can solve for the inverse by solving for y like this:
x=3y+5
3y=x-5
y=(x-5)/3
which can be rewritten as B.
What is the value of log6255?
Answer:
1/4
Brainliest!Step-by-step explanation:
1/4 on my calculator
The value of log 5 to the base 625 is 1/4 .
How to find the value of logarithm with any base value -From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,
∴ log a to the base b = x
⇒ [tex]a = b^{x}[/tex]
Thus we can take log 5 to the base 625 = x
∴ [tex]5 = 625^{x}[/tex]
From the above equation, we can get the value of x as 1/4
Thus the value of log 5 to the base 625 is 1/4
To learn more about properties of logarithm, refer -
https://brainly.com/question/12049968
#SPJ2
Please help me I need to submit this asap
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus
average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D
Does the graph below represent a proportional relationship? A. Yes, because it is a straight line that passes through the origin. B. No, because a proportional relationship does not have to be a straight line. C. Yes, because it is a straight line that does not pass through the origin. D. No, because it is not linear.
Answer:
A
Step-by-step explanation:
maybe i am sure don't depend on me