We have the inequality:
\(x+y>4.\)Replacing the values x = 9 and y = 5, we get:
\(\begin{gathered} 9+5>4, \\ 14>4. \end{gathered}\)We see that this pair of values satisfy the inequality.
AnswerThe ordered pair (9, 5) is a/an solution of the inequality x + y > 4 because when 9 is substituted for x and 5 is substituted for y the true statement 14 > 4 is obtained.
Factor 8mn2 + 12mn completely. A 42mn’ +3mn) B 4mn(2 + 3n) C 4mn(2mn + 3) D 4mn(2n + 3)
Question 1Step 1: Problem
\(\text{Factor 8mn}^2\text{ + 12mn}\)Step 2: Concept
Factor the highest common factor out.
Step 3: Method
\(8mn^2\text{ + 12mn = 4mn( 2n + 3)}\)Step 4: Final answer
4mn(2n + 3)
Question 2
Step 1: Question
\(\text{Simplify }\frac{(1.24\text{ }\times10^2\text{ ) (3.6 }\times10^{-3})}{1.8\text{ }\times\text{ 10}}\)Step 2: Concept
Apply laws of exponent
\(\begin{gathered} \text{Division law } \\ \frac{m^x}{m^y}=m^{x\text{ - y}}^{} \\ \text{Multiplication law} \\ m^x\text{ }\times m^y=m^{x\text{ + y}} \end{gathered}\)Step 3: Method
\(\begin{gathered} =\text{ }\frac{(1.24\text{ }\times10^2\text{ )(3.6 }\times10^{-3})}{1.8\text{ x 10}} \\ =\text{ }\frac{1.24\text{ }\times\text{ 3.6 }\times10^{2\text{ + (-3)}}}{18} \\ =\text{ }\frac{4.464\text{ }\times10^{2\text{ - 3}}}{18} \\ =\text{ }\frac{4.464\text{ }\times10^{-1}}{18} \\ =\text{ }\frac{4.464}{18}\text{ }\times10^{-1} \\ =\text{ 0.248 }\times10^{-1} \\ =\text{ 2.48 }\times10^{-2} \end{gathered}\)Step 4: Final answer
Option D is the correct answer
\(2.48\text{ }\times10^{-2}\)
The owners of the Burger Emporium are looking for new supplier of onions for their famous hamburgers. It is important that the onion slice be roughly the same diameter as the hamburger patty. After careful analysis, they determine that they can only use onions with diameters between 9 and 10 cm. Company A provides onions with diameters that are approximately normally distributed with mean 10.3 cm and standard deviation of 1.2 cm. Company B provides onions with diameters that are approximately normally distributed with mean 10.6 cm and standard deviation of 0.9 cm. Which company provides the higher proportion of usable onions? Justify your choice with an appropriate statistical argument using proportions.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let assume that X and Y reflect the diameters of onions by companies A and B.
\(\to P(9<X<10) = P(\frac{9-10.3}{1.2} < Z < \frac{10-10.3}{1.2} )\\\\\)
\(= P(-1.0833 < Z < -0.25)\\\\= P(Z < -0.25) - P(Z<-1.0833)\\\\= 0.2620\\\\\\\)
\(\to P(9<Y<10) = P(\frac{9-10.6}{0.9} < Z < \frac{10-10.6}{0.9} )\\\\\)
\(= P(-1.7778 < Z < -0.6667)\\\\= 0.2148\\\\\)
As a result, onions through company A are chosen and they're more likely to be accepted.
please help with this ty!
The slant height of the cone is calculated as: 13.00 feet
What is the Surface Area of a Cone?The surface area of a cone is calculated using the formula:
SA = πr(s + r) square units, where:
SA = surface area
r = radius of the cone
s = slant height of the cone
Given the following parameters of the cone as follows:
Surface area (SA) = 439.6 square feet
Slant height (s) = ?
Radius (r) = 7 ft
π = 3.14
Plug in the values:
439.6 = 3.14 * 7(s + 7)
439.6 = 21.98s + 153.86
439.6 - 153.86 = 21.98s
285.74 = 21.98s
285.74/21.98 = s
13 = s
s = 13.00 feet
Therefore, the cone in the image above that has a surface area of 439.6 square units will have a slant height of 13.00 feet.
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3ab-9ab+7ab and hurry up
Answer:ab
Step-by-step explanation:3-9=-6 +7=1 1ab also equals just ab
Answer:
Since its adding and subtracting just add the coefficients of similar terms (coefficient is the number in front, term is the coefficient. and variables, similar terms are terms that have the same variables)
3ab-9ab+7ab
3-9=-6: -6ab+7ab
-6+7=1: 1ab or ab :)
Divide 11/ 12 by 5 /6
Answer:
11/10
Step-by-step explanation:
ANSWER IS here my friends
Find the missing side.
+
18
12
x = [?]
Round to the nearest tenth.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)
The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.
Explanation:This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.
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A recipe calls for 1/4 cup of flour. You want to make 1/2 of the recipe. How much flour do you need?
Answer:
You would need 1/8 cup of flour.
Step-by-step explanation:
Multiply 1/4 and 1/2.
Answer:
1/8 cups
Step-by-step explanation:
A boat travels 154 miles in 5 hours (with a constant speed). Approximately how much time will it take to travel 455 miles?
Answer:
14.77 hours.
Step-by-step explanation:
154÷5= 30.8
455÷30.8=14.76
how do you write in numerals
Answer:
Basic numbersNumbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.hope it's helpful for u !! stay safe ...Step-by-step explanation:
1 : a conventional symbol that represents a number. 2 numerals plural : numbers that designate by year a school or college class and that are awarded for distinction in an extracurricular activity. Other Words from numeral Synonyms Example Sentences Learn More About numeral.A numeral is a symbol or name that stands for a number. Examples: 3, 49 and twelve are all numerals. So the number is an idea, the numeral is how we write it.hope it helps.stay safe healthy and happy...Which equation represents the relationship shown in the graph?
A coordinate grid is shown with points plotted at left-parenthesis 2 comma 4 right-parenthesis, left-parenthesis 4 comma 8 right-parenthesis, left-parenthesis 6 comma 12 right-parenthesis, and left-parenthesis 8 comma 16 right-parenthesis.
The equation of the proportional relationship is y = 2x.
How to find equation of proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A proportional relationship is one in which two quantities vary directly with each other.
Therefore, the proportional relationship can be represented as follows:
y ∝ x
y = kx
where
k = constant of proportionalityusing (2, 4)
y = kx
4 = 2k
k = 4 / 2
k = 2
Therefore, the equation is y = 2x.
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Instructed to give 300mg the medication is supplied 200mg 5 ml how much do you give
Answer:
200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml
-2/3 + 9/2
what's the answer
Answer:
The answer would be 23/6
need help pls geometry question
Answer:
55.94°
Step-by-step explanation:
Reference angle = x
Hyp = 25
Adjacent = 14
Apply CAH:
\( Cos(x) = \frac{Adj}{Hyp} \)
\( Cos(x) = \frac{14}{25} \)
\( x = Cos^{-1}(\frac{14}{25}) \)
x = 55.9442023° ≈ 55.94° (to 2 d.p)
Sarah ordered 30 shirts that cost $9 each. She can sell each shirt for $17. She sold 23 shirts to customers. She had to return 7 shirts and pay a $1 charge for each returned shirt. Find Sarah's profit.
Answer:
114
Step-by-step explanation:
order cost 270 Because 30*9=270
made 391 selling because 17*23=391
returned 7 shirts for 7$ because 7*1=7
so 391-7-270=114
Solve each of the following equations by the trial and error method : A) X- 7= -3 help some one now
Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
Find the AQR Ten for the following list of numbers: 1, 2, 4, 3, 3, 8, 5, 6
The calculated IQR of the list of numbers is 3
How to calculate the IQR of the list of numbersFrom the question, we have the following parameters that can be used in our computation:
1, 2, 4, 3, 3, 8, 5, 6
Sort the above number in ascending order
So, we have
1, 2, 3, 3, 4, 5, 6, 8
Split the above numbers to 2
So, we have
1, 2, 3, 3
4, 5, 6, 8
In the above, we have
Q1 = (2 + 3)/2 = 2.5
Q3 = (5 + 6)/2 = 5.5
using the above as a guide, we have the following:
IQR = 5.5 - 2.5
Evaluate
IQR = 3
Hence, the IQR of the list of numbers is 3
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Find the value of x. assume that segments that appear to be tangent are tangent.
Answer:
9
Step-by-step explanation:
The explanation is in the picture
Which sequence follows the pattern add 5, subtract 3?
A. 5,3,5,3,5,3,5
B. 6,3,8,5,10,7
C. 0,5,8,13,16,21,24
D. 12,8,6,4,20
i NEED AN ANSWER NOOOOW
40 points i will crown. A, B, C, or D.
Answer:
C. x > -3
Explanation:
The circle with no filling means it can not be equal
It goes ahead of -3 so it is greater than -3
D +23 equals 40 evaluate
Answer:
D=17
Step-by-step explanation:
D+23=40
D+23-23=40-23
D=17
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Use formula to find the area of the figure
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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3. What type of sequence is this?
0,2,5,9,14,...
Arthimetic
Geometric
Neither
Neither is the correct answer
what is the answer of this questions. There are three questions
Answer:
Where though?
Step-by-step explanation:
Answer:
You gotta show question
(1 Point) Recall That In Problem 3 Of The Reading Questions For Section 2.1, You Found That If F(X) = Ln(X), Then F'(2) = 1/2. Use This To Find A Formula For The Tangent Line To F(X) = Ln(X) At X = 2. Use this to find a formula for the tangent line to f(x) = ln(x) at x = 2. y=2
Answer:
y = (1/2)(x - 2) + ln(2)
Step-by-step explanation:
The formula for the tangent line to f(x) = ln(x) at x = 2 is given by the equation:
y = f'(2)(x - 2) + f(2)
Where f'(2) is the derivative of f(x) evaluated at x = 2, and f(2) is the value of f(x) evaluated at x = 2.
Given that f(x) = ln(x) and f'(2) = 1/2, we can substitute these values into the equation to get:
y = (1/2)(x - 2) + ln(2)
So the formula for the tangent line to f(x) = ln(x) at x = 2 is:
y = (1/2)(x - 2) + ln(2)
What is the simplified base for the function f(x) = 2(7272)?
Answer:
The simplified base is 9Step-by-step explanation:
The question is not quiet correctly displayed, it should be:
f(x) = 2\(\sqrt[3]{27^2^x}\)Simplifying:
f(x) = 2\(\sqrt[3]{27^2^x}\) = 2\(\sqrt[3]{3^3*^2^x}\) = 2(3²ˣ) = 2(9ˣ)f(x) = 2(9ˣ)The simplified base is 9
the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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Is god real????
Answer ASAP
depends on what u believe in if u think he existed then yes if you dont then no
Urgent help,
Translate the following words into equations step 2 solve the equation.
8 more than a number is equal to 15
The product of 7 and a number is 35
Answer:
x+8=15
-8. -8
x=7
7x=35
7. 7
x=5