Answer:
216 different cakes are possible.
Step-by-step explanation:
Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:
4 x 3 x 6 x 3 = X
12 x 18 = X
216 = X
Therefore, 216 different cakes are possible.
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x
2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one
Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( [tex]\frac{ratio}{area}[/tex] )
[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = [tex]\sqrt{16}[/tex] = 4
length of the smaller one is 4 cm
Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2
Answer:
the required answer is 4√2+1/2√2
CP = Rs 720 and SP = Rs 810
Answer:
Bro what to do in this question. Hope you understand me
In a sports club of 150 members, 88 play golf, 63 play bowls, and 45 play golf and bowls. Find the probability that:
a) a member plays golf only.
b) a member doesn't play golf or bowls.
pls explain too if u could. thanks!
Answer:
a) .287
b) .293
Step-by-step explanation:
The answers are boxed in red in the picture.
First I found how many people only golfed. Then I did the same for the people that only bowled. Next I found how many members didn't golf or bowl.
From there I found the probabilities by dividing
a.) # of members that only golf / total # of members
b.) # of members that don't bowl or golf / total # of members
Sammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards:
Cabbage
Spinach
Kale
Leeks
Carrots
Turnips
Cabbage
Leeks
Spinach
Carrots
Kale
Turnips
Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah.
What is the probability that NEITHER contestant draws leeks?
Round your answer to two decimal places.
The probability that neither of them draws the Leeks card is P = 4/6 = 0.667
Here we can assume that all the cards have the same probability of being randomly drawn.
The cards are:
Cabbage Spinach Kale Leeks Carrots TurnipsSo we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.
Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).
Then the probability of drawing the leeks card is p = 1/6
This means that the probability of NOT drawing the leeks card is:
q = 1 - 1/6 = 5/6.
Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:
q = 1 - 1/5 = 4/5.
The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.
Then the probability that neither of them draws the Leeks card is:
P = (4/5)*(5/6) = 4/6 = 0.667
If you want to learn more about probability, you can read:
https://brainly.com/question/24349426
Giải phương trình lượng giác cơ bản sinx=cos2x
Answer:
Step-by-step explanation:
х
у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
the diagonal of a square is 50cm long. how long are the sides of the square?
hello help please
Express
[tex] \frac{3}{5} [/tex]
of a right angle triangle to radian measure and can some anybody help me by looking one old question from my profile help please
a right angle is 90°, or 1/4 of a circle.
3/5 * 1/4 = 3/20
radian measure is the length of the circumference of this part of the circle.
a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r
now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:
6/20 rad * r
= 3/10 rad * r
of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will
Answer:
[tex]\frac{3\pi }{10}[/tex]
Step-by-step explanation:
To express degrees in radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex]
[tex]\frac{3}{5}[/tex] of a right angle
= [tex]\frac{3}{5}[/tex] × 90° = 54° , then
radian = 54 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{54}{180}[/tex] × π = [tex]\frac{3}{10}[/tex] × π = [tex]\frac{3\pi }{10}[/tex]
Find the measure of <3. 90 50 40 130
=============================================================
Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
The measure of ∠3 is 90°
Because in a kite the diagonals bisects at 90°
Therefore ∠3 is 90°
Answered by Gauthmath must click thanks and mark brainliest
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
Arrange in descending order.
10,-5,-1, 12, 0, -13
Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Please help please with geometry
Answer:
33
Step-by-step explanation:
HJ = HI + IJ
HJ = 3x - 9, HI = x and IJ = x + 5
So 3x - 9 = x + x + 5
Solve for x
Combine like terms
3x - 9 = 2x + 5
Add 9 to both sides
3x = 2x + 14
Subtract 2x from both sides
x = 14
Find HJ
HJ = 3x - 9
We have found that x = 14
HJ = 3(14) - 9
Multiply 3 and 14
HJ = 42 - 9
Subtract
HJ = 33
Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.
Hey there! I'm happy to help!
A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)
The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.
Have a wonderful day and keep learning! :D
15x + 45 = 15 (3 + x) always never one solution how do I do it
Answer:
0
Step-by-step explanation:
First, you need to try to get rid of the ().
To do this:
15 * 3 and 15 * x
This makes 45 and 15x after the = , so the formula is now:
15x + 45 = 45 + 15x
Now get the 15x to the left side. When a number switches sides, it becomes negative when positive and positive when negative. So in this case 15x will become -15x and the 45(on the left) becomes - 45
15x - 15x = 45 - 45
Answer: 0
What is the vertex of g(x) = 3x2 − 12x + 7?
(−6, −5)
(−2, −5)
(2, −5)
(6, −5)
(h ,k) —> (2 , –5)
g(x)=3x²-12x+7 —> y= 3(x-2)²-5
y=a(x–h)²+k —> a= 3 , h=2 , k= –5
(h ,k ) —> (2, –5)
I hope I helped you^_^
Answer:
C, Option 2, or (2,-5)
Step-by-step explanation:
edge 2021
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
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{24a - 18b} =24a−18b I neeed help
0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
can anyone help with this? im confused
PLEASE HELP!! Find the slant height of the come
Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
f(x)= x3 - 2x2 - 3x + 6
f(x)= x3 - 2x2 + 3x + 6
f(x)= x3 + 2x2 - 3x + 6
f(x)= x3 + 2x2 - 3x - 6
Using the factor theorem, it is found that the polynomial is:
[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]
Given by the first option
---------------------------
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] using the factor theorem it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
---------------------------
In this question:
[tex]x_1 = 2[/tex][tex]x_2 = \sqrt{3}[/tex][tex]x_3 = -\sqrt{3}[/tex]By the options, leading coefficient [tex]a = 1[/tex]Thus:
[tex]f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})[/tex]
[tex]f(x) = (x - 2)(x^2 - 3)[/tex]
[tex]f(x) = x^3 -2x^2 - 3x + 6[/tex]
Which is the polynomial.
A similar problem is given that: https://brainly.com/question/4786502
Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answer:
C. Yes; the graph passes the vertical line test.
Step-by-step explanation:
Reasons the others are wrong:
A. It does pass the vertical line test.
B. Y-values can have any x values. It is x-values that can't have multiple y-values.
D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.
The average weight of 10 boys is 77.0 pounds. If the
youngest boy is excluded, the average weight of the
9 remaining boys is 78.0 pounds. What is the weight,
in pounds, of the youngest boy?
Answer:
68 pounds.
Step-by-step explanation:
Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.
I'll let x = total weight.
[tex]\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68[/tex]
Therefore, the youngest boy weighs 68 pounds.
a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle
Answer:
Step-by-step explanation:
diameter of the circle=smallest of the length and width=21 cm
r=21/2
area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²
I really need an answer as soon as possible. 10 pts worth it
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
Brainliest, please!
3T-2 + T -5T= -1
Solve it out please
Answer: T = -1
Step-by-step explanation:
**Disclaimer** I assume that the [T] is a variable. If it was, then you may refer to my answer. If it was not, then you may point it out and I'll redo it.
Given
3T - 2 + T - 5T = -1
Combine like terms
-T - 2 = -1
Add 2 on both sides
-T - 2 + 2 = -1 + 2
-T = 1
Divide -1 on both sides
-T / (-1) = 1 / (-1)
T = -1
Hope this helps!! :)
Please let me know if you have any questions
Select the correct answer (for Edmentum/PLATO).
Which expression represents the series 1 + 5 + 25 + 125 + 625?
Answers attached in photo.
Answer:
Correct answer is A. Trust me
Step-by-step explanation:
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
D. Exponential growth
Step-by-step explanation:
Hope this helps
Function that is similar to exponential.
Option (A) is correct.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
We can observe that
First, y increases as x increases
Last it is a function that is similar to exponential.
Function is an exponential decay.
Option (A) is correct.
Find out more information about exponential decay here
https://brainly.com/question/14355665
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