3 different ways to do it.
Using the combination formula, it is found that there are 35 ways to do this.
The order in which the vegetables are included is not important, thus, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given as follows:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 4 vegetables from a set of 7, thus:
[tex]C_{7,4} = \frac{7!}{4!(7-4)!} = 35[/tex]
There are 35 ways to do this.
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Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form
Answer:
y = 3x - 6
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
As an estimation we are told £3 is €4.
Convert €24 to pounds.
Answer:
18 pounds
Step-by-step explanation:
assuming a 3:4 rate
24 Euros is
24/4 * 3 = 18 pounds
The solution is £ 18
The value of €24 in pounds is 18 pounds or £ 18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of £3 be = €4
So , the equation will be
The value of €1 = £ ( 3/4 )
So , the value of €24 is calculated by the equation
The value of €24 in pounds = value of €1 x 24
Substituting the values in the equation , we get
The value of €24 in pounds = £ ( 3/4 ) x 24
The value of €24 in pounds = £ 3 x 6
The value of €24 in pounds = £ 18
Therefore , the value of €24 in pounds is £ 18
Hence , The value of €24 in pounds is 18 pounds or £ 18
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What is the value of x? Round to the nearest tenths place.
15 ft
20 ft
X
The solution to the value of x is 5 < x < 15
The sides of a triangleA triangle is a shape that has 3 sides and angles. According the triangle rule, the sum of any two sides of a triangle is equal to the third.
From the given triangle shown;
15+x > 20 + 15 > 20 + x
Simplify
15+x > 20
x > 20 - 15
x > 5
Also;
20+15 > 20 + x
35 > 20 + x
35 - 20 >x
x < 15
Hence the solution to the value of x is 5 < x < 15
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Help please!!!!!!!!!!!!!
Answer:
is there answer choices?
Step-by-step explanation:
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
Please help me please
treating prostate disease a large study used records from canada’s national health care system to compare the effectiveness of two ways to treat prostate disease. the two treatments are traditional surgery and a new method that does not require surgery. the records described many patients whose doctors had chosen each method. the study found that patients treated by the new method were sig- nificantly more likely to die within 8 years.38
The cost and the patient's condition are other factors. For instance, a doctor might decide against suggesting surgery if a patient has very bad health because of the potential for additional difficulties. Then, we won't be able to tell if a higher death rate is a result of the therapy or the participants' pre-existing health.
What distinguishes surgical treatment from medicinal treatment? What distinguishes surgical procedures from nonsurgical ones?What Kinds of Practices Are Not Surgical?Any condition that necessitates a localised treatment, such as surgery or one of the many vascular procedures or radiation methods, is referred to as a surgical disease. A more comprehensive, pharmacological strategy to treat a medical issue is required.
"Non-surgical" treatments are also referred to as "non-invasive" procedures in the cosmetic industry. These techniques don't need cutting the skin or inserting tools into the body, in contrast to "invasive" surgical therapies.
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Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8 hours?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
132 miles
Step-by-step explanation:
4 is half of 8 so you just have to multiple everything by 2 to get your answer
Answer:
132
Step-by-step explanation:
Since in four hours you can travel 66 miles, 8 hours would be 66x2, which is 132.
1hour=16.5
2hour=33
3hour=49.5
4hour=66
5hour=82.5
6hour=99
7hour=115.5
8hour=132
Solve for X the mini box in the corner is 90 degree angle
please answer or comment if your good at math and willing to help please
Answer: Indeed i am
Hope This helps :)
A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14
Answer:
423.9 inches³
Step-by-step explanation:
First we will calculate the volume of the cylinder using the formula
Vc = hπr²
Vc = 12π(3.5)² [radius is 1/2 diameter]
Vc = 147π
Next we calculate the volume of the sphere using 4/3*πr³
Vs = 4/3 πr³
Vs = 4/3π3³
Vs = 12π
Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.
147π - 12π = 135π
Using the approximate 3.14, the answer is 423.9 inches³
Are These this a function
Answer:
the one on the left side is one
Step-by-step explanation:
the right one is not a function
A line passes through the point (10,-7) and has a slope of 1/2
Write an equation in slope-intercept for this line
Answer:
1/2x -12
Step-by-step explanation:
y- -7 = 1/2 (x-10)
y + 7 = 1/2x - 5
-7 -7
y= 1/2x -12
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.
Write an equation that models the total profit for the business below.
Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.
x | f(x)
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _
Answer:
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]
So, we get slope [tex]m=\frac{3}{4}[/tex]
Now, finding y-intercept
Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept
[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]
The y-intercept is [tex]b=\frac{-29}{4}[/tex]
So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:
[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Solve 4 - x= -8.
Correct answer please
Answer:
12!
Step-by-step explanation:
Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)
Answer:
X = 12Step-by-step explanation:
4 - x = -8
or. -x = -8 - 4
or. -x = -12
or. x = 12
Ms Lucas has 9 cases of crayon with 52 boxes in each case Ms Bruns has 6 cases of crayon with a 104 in each case How many boxes of crayons do both teachers have? Use RDW strategy to solve.Write your answer as a statement.
Answer:
1092
Step-by-step explanation:
Step one:
given data
Ms Lucas has 9 cases of crayon with 52 boxes in each case
total crayon is
9*52= 468
Ms Bruns has 6 cases of crayon with a 104 in each case
total crayon is
6*104= 624
The total crayon is
468+624= 1092
Need help with this ASAP and all you have to do is match the siblings with the options and the options are group a, group b, and group c. Please
Answer: oldest sibling is B, middle sibling is C, youngest sibing is A
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answer:
[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]
QUESTION 4
1/2x + 5= 10
What's x?
Answer:
10
Step-by-step explanation:
—Math½ x + 5 = 10
½ x = 10 – 5
x = 5 x 2
x = 10
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Two number cubes are rolled. Each number cube is labeled 1 through 6.
What is the probability that both number cubes will land on 1?
Step-by-step explanation:
Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.
write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a solution of the system
Answer:
Examine this system of linear equations.
y – 3x = –2,
y = 4
Which is a solution of the system of equations?
(0, 4)
(2, 2)
(2, 4)=this is the correct answer
(4, 2)
Step-by-step explanation:
thats the answer
(2,4)
Make a word problem with an inequality in it.
Answer:
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
During a round of golf, Tim's score on hole eights is -7. After hole eighteen, Tim's score increases by 18. What is Tim's score after whole eighteen? show your work
Answer:
man went from 7 under to 11 over. tuff. its 11
Step-by-step explanation:
2.010010001
is this rational or irrational?
Answer:
It is irrational
Step-by-step explanation:
is a non-terminating & non-recurring decimal
2 3/4 devided by 1/6
Step-by-step explanation:
16.5
I'm pretty sure that this is the correct answer.
f(x)=5(1+0.25)^x,f(4)
Please show step by step of how you got the answer
Answer:
f(4) = 12.2
Step-by-step explanation:
we are given that x = 4, plug in 4 into the equation
f(4) = 5(1+0.25)^(4)
f(4) = 5(1.25)^(4)
raise 1.25 to the 4th, which is equal to 2.44
f(4) = 5(2.44)
f(4) = 12.2
Answer:
12.20703125
Step-by-step explanation:
Determine the slope of
the line that passes
through (2,5) and (3, 7).
Answer:
1/2
Step-by-step explanation:
9 + 4[(4 + 2)3 - (32 + 2)]
Answer:
-55
Step-by-step explanation:
answer correctly please take ur time and i will give you brainliest
Answer:
15
Step-by-step explanation:45-30 OVER 3-2= 15