Three types of juice means 3!
that is ., 3*2*1 =6
He will be able to fill 6 bags with the specified amount of each juice.
In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.
What is a factorial problem?In a factorial, you multiply the supplied integer by all of the positive whole numbers that are less than it. To put it another way, = n (n 1) ... 2 1.The mathematical operation known as a factorial, denoted by the symbol (! ), multiplies a number (n) by each number that comes before it. The factorial function instructs you to multiply all the whole numbers starting at the selected number and going all the way down to one. In further mathematical terms, a number's factorial (n!) equals n (n-1).When a group of variables are independent happenings, a factorial distribution occurs. In other words, there is no interaction between the variables; for two events, x and y, the probability of x remains constant when y is taken into account. Therefore,To learn more about factorial refer to:
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eah built a tower that was 1 m 34 cm tall. Then, she added on an antenna that was 98 cm. How tall is the tower now? 1 m = 100 cm
Answer:
232cm (2m 32cm)
Step-by-step explanation:
1m 34cm = 134cm
134cm + 98cm = 232 cm
dry concrete can be made by mixing sand gravel and cement into the ratio 1:3:5 if you want 1800kg of dry cement , how much would you need
The amount of sand = 200 kg
The amount of gravel = 600 kg
The amount of cement = 1000 kg
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.
And, They want 1800 kg of dry concrete.
Now,
Since, Dry concrete can be made by mixing sand, gravel and cement into the ratio 1 : 3 : 5.
So, We can formulate;
The amount of sand = x
The amount of gravel = 3x
The amount of cement = 5x
Hence, We get;
⇒ x + 3x + 5x = 1800
Solve for x as;
⇒ x + 3x + 5x = 1800
⇒ 9x = 1800
⇒ x = 1800/9
⇒ x = 200
Thus, The amount of sand = x = 200 kg
The amount of gravel = 3x = 3 × 200 kg
= 600 kg
The amount of cement = 5x = 5 × 200 kg
= 1000 kg
Therefore, We get;
The amount of sand = 200 kg
The amount of gravel = 600 kg
The amount of cement = 1000 kg
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what is a probability of surveying a student that is in math Spanish and chemistry round to the three decimal places
From the figure, the total number of students is
[tex]\begin{gathered} N=70+3+17+15+5+60+85+5 \\ N=260 \end{gathered}[/tex]The number 15 is common in spanish, chemistry and math.
Hence, the number of students studying spanish, chemistry and math, n=15.
Therefore, the probability of surveying a student that is in math Spanish and chemistry is,
[tex]\begin{gathered} P=\frac{n}{N} \\ P=\frac{15}{260} \\ P=0.058 \end{gathered}[/tex]Therefore, the
3^10=3^7*x^3 solve for x
The value of x is 3.
What is the law of exponents?One of a set of rules in algebra: exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: [tex]a^{m}.a^{n} = a^{m+n}[/tex], [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]
Given that, [tex]3^{10} = 3^{7} x^{3}[/tex]
On solving, we get,
[tex]3^{10} = 3^{7} x^{3}[/tex]
[tex]\frac{3^{10} }{3^{7} } = x^{3}\\3^{10-7} = x^{3} \\3^{3} = x^{3} \\x = 3[/tex]
Hence, The value of x is 3.
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can someone help and explain how to do this. Ive been stuck in this lesson for days. This is so confusing and hard.
write in slope intercept form:(2, 16) and (0, 10). please help :)
The equation for a straight line is given by
[tex]y=mx+b[/tex]where m is the slope and b is the intercept.
The formula to calculate m is,
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ =\frac{10-16}{0-2}=\frac{-6}{-2}=3 \end{gathered}[/tex]Now the value of b can be calculated as, y intercept which here is, 10
Therefore, the required equation is, y=3x+10
The value of 41 squared is between which two whole numbers?
The image shows the square root of 41
The root of 41 in decimal is 6.403.
As such the integers before and after 6.403 are 6 and 7
Another way to solve this is to consider the perfect square before 41 which is 36.
The square root of 36 is 6. Since 41 is higher than 36, the number before root 41 would be 6 and the next number after 6 is 7.
Hence the two numbers before and after √41 are 6 and 7
Pls, answer in a minute. PLS
Answer: The square will fit.
Step-by-step explanation:
the diameter of the circle is large enough that since the square is 7cm across, (each side is the same length, therefore the diameter is the same,) The square will fit on the inside of the circle.
The table below gives the dimensions of a statue and a scale drawing of the statue.Find the scale factor of the drawing to the real statue.Write your answer as a fraction in simplest form.Height (inches)Length (inches)Scale factor:Drawing8006Statue6448 I need help with this math problem.
Given:
Find-:
The scale factor
Explanation-:
The scale factor is:
[tex]S.F.=\frac{\text{ Status}}{\text{ Drawing}}[/tex][tex]S.F.=\frac{64}{8}\text{ or }\frac{48}{6}[/tex]So, the scale factor is:
[tex]\begin{gathered} S.F.=\frac{64}{8}\text{ or }\frac{48}{6} \\ \\ S.F.=8\text{ or }8 \\ \\ S.F.=8 \end{gathered}[/tex]The scale factor is 8.
Joe borrowed $9,000 from the bank at a rate of 7% simple interest pa year. How much interest did he pay in 5 years? In 5 years, Joe pays ? In Interest
Principal = 9000
Interest rate = 7% = 0.07
Time = 5 years
Simple interest formula:
A = P(1 + rt)
In this case:
A = 9000(1 + 0.07*5) = 9000(1 + 0.35) = 9000(1.35) = 12150
Interest = A - P = 12150 - 9000 = 3
Chang drove 871 miles in 13 hours. At the same rate how long would it take him to drive 536 miles?
Answer:
8 hours
Step-by-step explanation:
You need to find time per every mile.
So you do 13/871 which is 0.0149253731 miles for every hour.
You multiply that number by 536 which gets you 7.99999998 hours which allows you to round to 8 hours.
y=4x
x+y=-20
can someone help me solve this equation?I need a soluton like (x,y)
ty!
The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".
What is solution to equation?A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.
The equation is,
y=4x
x+y=-20
x+4x=-20
5x=-20
x=-4
y=-4*4
y=-16
(x,y)=(-4,-16)
According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).
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a tree standing vertically on level ground casts a 118 foot long shadow. the angle of elevation from the end of the shadow to the top of the tree is 22.3 degrees. find the height of the tree to the nearest tenth of foot.
Since the situation forms a right triangle, we can apply trigonometric functions:
Tan a = opposite side/ adjacent side
Where:
a= angle = 22.3°
opposite side = x
adjacent side = 118
Replacing:
Tan 22.3° = x / 118
Solve for x
Tan 22.3 * 118 = x
x = 48.4 ft
Given (x – 7)2 = 36, select the values of x.
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
i inserted a picture of the question, i can give you the answer to the previous question if it helps. C(t) = -0.30(t-12)^2 + 40
Answer:
F(t) = -0.54(t - 12)² + 104
Explanation:
We know that C(t) = -0.30(t - 12)² + 40 and F(t) = 9/5C(t) + 32
Then, we can replace C(t) on the equation of F(t) to get
[tex]\begin{gathered} F(t)=\frac{9}{5}C(t)+32 \\ F(t)=\frac{9}{5}(-0.30(t-12)^2+40)+32 \\ F(t)=\frac{9}{5}(-0.30)(t-12)^2+\frac{9}{5}(40)+32 \\ F(t)=-0.54(t-12)^2+72+32 \\ F(t)=-0.54(t-12)^2+104 \end{gathered}[/tex]Therefore, the new function F(t) is
F(t) = -0.54(t - 12)² + 104
you want to bake 3 apple pies to bring to your Thanksgiving meal. the apple pie recipe calls for 3 1/2 cups of diced apples. you know that 1 apple can yield between 0.6 and 0.8 cup of apples. how cups of diced apples do you need?
pls help me
Find the equation of the line that passes through the points (-3,-4) and (3,2)
The equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.
What does the slope intercept form entail?A line's equation can be written in the slope-intercept form such that the slope as well as y-intercept are clearly visible. The line's slope is its its steepness, and the y-intercept is where the line intersects the y-axis.The data in the given question is-
The passing points are-
(x1, y1) =(-3,-4) and
(x2, y2) = (3,2)
Slope = m = (y2 - y1)/(x2 - x1)
m = (2 + 4)/(3 + 3)
m = 6/9
m = 2/3
Equation of the line is evaluated using slope intercept form.
y - y1 = m (x - x1)
y + 4 = (2/3)(x + 3)
y = (2/3)x - 2
Thus, the equation of the line which passes through points (-3,-4) and (3,2) is y = (2/3)x - 2.
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I need guidance on finding the correct answers because I am confused
The Solution:
The correct answer is [option 4]
Given:
Required to select the correct statements.
[tex]\Delta ABC\cong\Delta DCB\text{ \lparen Reason: Side-Angle-Side Triangle Congruence Theorem}[/tex]Thus, the correct answer is [option 4]
define what is absolute
We will have that Absolute Value is the magnitude of a value and is denotated as follows:
| x | : The absolute value of x.
When we speak about magnitude we refer just to possitive values. For example:
*The absolute value of 3:
| 3 | = 3
*The absolute value of -45:
| -45 | = 45
From this, we can clearly see that we "keep the number" but not the sign.
Find the measure of the angle indicated. pls help
Answer:
85
Step-by-step explanation:
There is a property of angle of triangles.
Exterior angle = Sum of opposite interior angles
7x + 8 = 3x - 9 + 61
7x + 8 = 3x + 52
7x - 3x = 52 - 8
4x = 44
x = 44/4
x = 11
m∠WHG = 7x + 8
= 7 ( 11 ) + 8
= 77 + 8
m∠WHG = 85
Answer:
Angle WHG is 85 degrees.
Step-by-step explanation:
X = 11.
7(11) + 8 = 85.
180 - 85 = 95 (Angle FHG.)
3(11) - 9 = 24 (Angle GFH.)
A triangle's angles always add up to 180 degrees.
24 + 95 + 61 = 180.
To double check, 180 - 95 = 85 degrees.
I hope this helped! And as for finding X, I kind of forgot how to get X, so I tried X being number 5-10 first, then tried 11, and it worked. Sorry for the late response.
Onions are on sale at four different grocery stores. Which store offers thelowest unit rate for onions, in dollars per pound?$3.20• Farm Fresh:4 pounds• Mother Nature:1 pound$1.70• Hobson's:2 pounds• Veggie Delight: $0.70/poundO A. Farm FreshOB, Veggie DelightOC. Mother NatureD. Hobson's
T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.
To calculate the price per pound you can use corss multiplication
Farm Fresh
4pounds _____$3.20
1pound____$x
[tex]\begin{gathered} \frac{3.20}{4}=\frac{x}{1} \\ x=\frac{3.20}{4} \\ x=0.80 \end{gathered}[/tex]The onions cost $0.80 per pound
Mother nature
1/3pound ____$1/4
1pound____$x
[tex]\begin{gathered} \frac{\frac{1}{3}}{\frac{1}{4}}=\frac{x}{1} \\ x=\frac{1}{3}\cdot\frac{4}{1} \\ x=\frac{4}{3}\cong1.33 \end{gathered}[/tex]The onions cost $1.33 per pound
Hobson's
2pounds_____$1.70
1pound____$x
[tex]\begin{gathered} \frac{1.70}{2}=\frac{x}{1} \\ x=\frac{1.70}{2} \\ x=0.82 \end{gathered}[/tex]The onions cost $0.82 per pound
Veggie Delight
$0.70 per pound
which is the quotient of 2,956 divided by 0.03?????
Answer:
[tex]98533 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2956}{0.03}=\frac{295600}{3}=98533 \frac{1}{3}[/tex]
Triangle OPQ is similar to triangle RST. find the neasure of side ST. Round to the nearest tenth if necessary
By definition, when two figures are similar, their corresponding angles are congruent (this means that they have equal measure) and the ratios of the lengths of their corresponding sides are the same.
In this case you know that the triangles shown in the picture are similar, therefore, you can set up the following proportion:
[tex]\frac{OP}{RS}=\frac{PQ}{ST}[/tex]You can identify that:
[tex]\begin{gathered} OP=37 \\ RS=7 \\ PQ=48 \end{gathered}[/tex]Therefore, you can substitute values into the proportion:
[tex]\frac{37}{7}=\frac{48}{ST}[/tex]Now you have to solve for ST:
[tex]\begin{gathered} (ST)(\frac{37}{7})=48 \\ \\ ST=(48)(\frac{7}{37}) \\ \\ ST\approx9.1 \end{gathered}[/tex]The answer is:
[tex]ST\approx9.1[/tex]Logarithm 6) If log 5 = A and log 3 = B, find the following in terms of A and B:
Given the following parameters:
log 5 = A
log 3 = B
According to the law of product and quotient of logarithm as shown:
[tex]\begin{gathered} \log AB=\log A+\log B \\ \log (\frac{A}{B})=\log A-\log B \\ \log A^b=b\log A \end{gathered}[/tex]Applying the laws of logarithm in solving the given logarithm
[tex]\begin{gathered} a)\log 15 \\ =\log (5\times3) \\ =\log 5+\log 3 \\ =A+B \end{gathered}[/tex]For the expression log(25/3)
[tex]\begin{gathered} b)\log (\frac{25}{3}) \\ =\log (\frac{5^2}{3}) \\ =\log 5^2-\log 3 \\ =2\log 5-\log 3 \\ =2A-B \end{gathered}[/tex]For the expression log135
[tex]\begin{gathered} \log (135) \\ =\log (5\times27) \\ =\log (5^{}\times3^3) \\ =\log 5^{}+\log 3^3 \\ =\log 5+3\log 3 \\ =A+3B \end{gathered}[/tex]For the expression log₅27
[tex]\begin{gathered} \log _527 \\ =\frac{\log 27}{\log 5} \\ =\frac{\log 3^3}{\log 5} \\ =\frac{3\log 3}{\log 5} \\ =\frac{3B}{A} \end{gathered}[/tex]For the expression log₉625
[tex]\begin{gathered} \log _9625 \\ =\frac{\log 625}{\log 9} \\ =\frac{\log 5^4}{\log 3^2} \\ =\frac{4\log 5}{2\log 3} \\ =\frac{\cancel{4}^2A}{\cancel{2}B} \\ =\frac{2A}{B} \end{gathered}[/tex]For the value of 15, this can be expressed as shown. Since:
[tex]\begin{gathered} \log 5=A;10^A=5 \\ \log 3=B;10^B=3^{} \end{gathered}[/tex]Since 15 = 5 × 3, writing it in terms of A and B will be expressed as:
[tex]\begin{gathered} 15=5\times3 \\ 15=10^A\times10^B \\ 15=10^{A+B} \end{gathered}[/tex]Can somebody help me with 2.) C? Thx, this is Algebra 2.
SOLUTION
Step 1 :
We need to list the transformation for the equation,
[tex]y\text{ = -}\frac{1}{5}x^2\text{ -3}[/tex]compared to the parabola parent function,
[tex]y=x^2[/tex]Step 2 :
We need to graph the function,
[tex]\begin{gathered} y\text{ = -}\frac{1}{5}x^2\text{ - 3} \\ \text{compared to the parabola parent function, y =x}^2 \end{gathered}[/tex]Step 3 :
The graph is as shown below:
Step 4 :
Based on the two graphs, we can see that:
The transformations are Reflection, Vertical Shift and Vertical Compression.
Question 1 (1 point)
What integer represents a rise in temperature of 19°?
O a -|-191
Ob
-19
Oc
19
Od
-|19|
The integer which represents the rise in temperature of 19° is -|19|
Positive, negative, and zero numbers all fall under the category of integers. The word "integer" is a Latin word that signifies "whole" or "intact." Therefore, fractions and decimals are not considered to be integers.
A number without a decimal or fractional element is known as an integer, which encompasses both positive and negative numbers, including zero. The following are some examples of integers: -5, 0, 1, 5, 8, 97, and 3,043. Z denotes a collection of integers,
hence the correct form is answered.
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help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a rectangle is the product of its length and breadth. The maximum area enclosed by the fence is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.
What is a rectangle?A rectangle is a type of parallelogram that has equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The dimensions of the given rectangle are (650 - 2x) and x.
Then, the area of the given rectangle can be written in terms of x as
A(x) = x(650 - 2x)
In order to find the maximum area enclosed take the derivative of A(x) and equate it to zero as follows,
(660 - 2x) - 2x = 0
=> 4x = 660
=> x = 660 / 4
=> x = 115
Now, the maximum area is the value of A(x) at x = 115 as below,
= 115 × (650 - 2×115)
= 115 × 320
= 36800
The dimensions for the maximum area are 115 and (650 - 2 × 115) = 320.
Hence, the largest area enclosed is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.
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2.1 Simplify without using a calculator. 2.1.1 √√125 -√√
[tex] \sqrt{125 - \\ \sqrt{ \frac{1 \\ }{?} } } [/tex]
-
-3x plus 12y equivalent expressions
The equivalent expression for -3x + 12y is 3 (-x + 4y).
What are expressions?Expressions include a statement, at least one arithmetic operation, and at least two numbers or variables.
Given equation:
-3x + 12y
Take 3 as common from both the term, and we get,
= 3 (-x + 4y) so the equivalent expression will be 3(-x + 4y).
Therefore, the equivalent expression for -3x + 12y is 3 (-x + 4y).
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Write the equation of the line in slope-intercept form that goes through the
points: (2, 4) and (7,-1)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}} \implies \cfrac{ -5 }{ 5 } \implies - 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 1}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-x+2\implies {\Large \begin{array}{llll} y=-x+6 \end{array}}[/tex]