Answer:
10.19
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]
Substitute the numbers given:
[tex]11^{2}+b^{2}=15^{2}[/tex]
[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]
For what value of x does 4 superscript x baseline = (one-eighth) superscript x 5?
An equation is formed of two equal expressions. The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of x for which 4ˣ=(1/8)ˣ⁺⁵ is,
4ˣ=(1/8)ˣ⁺⁵
(2²)ˣ = (2⁻³)ˣ⁺⁵
2²ˣ = 2⁽⁻³ˣ⁺¹⁵⁾
2x = -3x + 15
5x = 15
x = 3
Hence, the value of x for which 4ˣ=(1/8)ˣ⁺⁵ is 3.
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Add the polynomials.
(3x^2+5x−3)+(4x^2+2x)
7x^2+7x−3
7x^2+5x+5
3x^2+9x−1
x^2+5x−3
please answer, much appreciated!!!!!
Answer:
i don't understand your question
Step-by-step explanation:
Simplify: square root of 81+18[tex]\sqrt{7}[/tex]+7
[tex] \sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7} [/tex]
Factor the indicated expression:[tex] \sqrt{(9 \: + \: \sqrt{7} ) ^{2} } [/tex]
Simplified the index, the root and also the exponent using the number 2.[tex] \boxed{ \bold{9 \: + \: \sqrt{7} }}[/tex]
MissSpanish
HELP PLEASEEE GEOMETRY
how many significant figures are there in the number 11
Answer: the maximum of three
Step-by-step explanation: each number has 2 significant figures. so 10.85 has four significant figures and must be rounded to 11 so it can have a maximum of three
15.23*3.6=54.83
Audrey takes a sheet of paper and makes a diagonal cut from one corner to the opposite
corner, making two triangles. The cut she makes is 87 inches long and the width of the paper
is 60 inches. What is the paper's length?
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]
Let us take the width of the paper as base, the cut she made be hypotenuse and the paper's length be perpendicular.
Here,
Hypotenuse (H) = 87 inch
Base (B) = 60 inch
Perpendicular (P) = [To be calculated]
As, we can use Pythagoras theorem to find. So by using Pythagoras theorem :
H² = P² + B²
[tex] {87}^{2} = {P}^{2} + {60}^{2} \\ \\ \implies \: 7569 = {P}^{2} + 3600 \\ \\ \implies \: 7569 - 3600 = {P}^{2} \\ \\ \implies3969 = {P}^{2} \\ \\ \implies \: P = \sqrt{3969} \\ \\ \implies \: P = 63[/tex]
The length of the paper is 63 inches.
[tex] \boxed{ \frak \pink{BrainlyDamurai}}[/tex]
The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
10
Step-by-step explanation:
Firstly, we find the value of X
since 5X-9 and 3X+7 are lenghts
5X-9= 3X+7
5X-3X= 7+9
2X = 16
dividing bothsides by 2
2X/2= 16/2
X = 8
Hence,
5X-9= 5(8)-9= 40-9 = 31
3X+7=3(8)+7= 24+7= 31
To find the width
Area= lenght×width
310= 31×w
31w= 310
w= 310/31
W= 10
Simplify.
√50
OA. 10√5
OB. 2√5
OC. 5√2
OD. 25√2
Decomposition in factors of 50: 2 · 5².
[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0[/tex]
[tex]\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}[/tex]
[tex]\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]
[tex]\sqrt{5^2}=5[/tex]
[tex]=\sqrt{2}\cdot \:5[/tex]
[tex]\bf{=5\sqrt{2} \ === > \ Answer }[/tex]
Option C
↓
[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{MyHeritage} \end{gathered}$}}}[/tex]
You have been given data about gas prices in 15 states. Comparing the two data sets below, what does the larger standard deviation, range, and variance say about gas prices in 2022 compared to gas prices in 2018?
Gas Prices in 2018 Gas Prices in 2022
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.11
Max: $5.87
Min: $4.48
Mean: $4.83
Median: $4.72
Mode: $4.72
Variance: 0.0142
Standard Deviation: $0.38
Comparing the two data sets shown below
What is standard deviation and variance?Variance is the average squared deviations from the mean, while standard deviation is the square root of this number.
Both the mean and the median can be used to describe where the “center” of a dataset is located.
So, the mean of data in 2022 is more than mean of data in 2018.
It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers.
As the variance of 2022 more than in variance in 2018.
A high variance indicates that the data points are very spread out from the mean, and from one another.
As the standard deviation of 2022 more than in standard deviation in 2018.
The high standard deviation indicates data are more spread out.
The bigger the range, the more spread out the data.
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Nashville is 595 feet above sea level. You board an airplane and the pilot ascended 39000 feet. Write the two integers that represent this scenario.
To solve this problem, let's simply find the difference in the distance between the two locations.
EquationTo express this integer, we need to define the locations with variables and then calculate the difference.
Nashville = A = 595ftPilot = B = 39000ftThe difference between the two location can be written as
[tex]Pilot - Nashville = B - A = 39000 - 595 = 38405ft[/tex]
The two integers that represent this scenario are 595 and 39000 respectively.
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how to workout that i need the way of how to work it out not the answer
20 points! Which graph represents two functions that are decreasing on all points across the domain that is common to both functions?
Answer:
Its C or D, I would say C tho
Step-by-step explanation:
I took the test and both A and B are wrong
help im being timed plssss
The value of cos 45 in a right angle triangle is 1/√2.
What is the trigonometry ratio?The trigonometry ratios are ratios that can be used to determine the side and angles of a triangle depending on the known parameter. The basic trigonometry ratios are denoted by the acronym: SOH CAH TOA
i.e.
Sin θ = opp/hypCos θ = adj/hypTan θ = opp/adjFrom the given diagram, we are to find the Cos 45°
i.e.
θ = 45°
Let's recall the angle 45 45 90 theorem that states that right angles have the following values for the sides:
hypotenuse = √2opposite = 1adjacent = 1Since
Cos θ = adj/hyp
Cos 45 = 1/√2
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A shop has 4 fruits (bananas, oranges, apples, and grapes) and 2 dips (peanut butter and caramel).
Zeke's mom randomly buys 1 fruit and 1 dip for his lunch.
What is the probability that she selects his favorite option: bananas and peanut butter?
Answer:
total fruits and dips=4+2=6
P(select banana&peanut butter)=banana+peanut /total fruits and d
Step-by-step explanation:
total fruits and dips=4+2=6
P(select banana&peanut)=banana+peanut/total fruits and dips
P(select banana&peanut)=1+1=2/6
=1/3
What is the name of the numeral system we use today?.
How to find a fraction from a decimal
Answer:
0.6= 6/10
[tex]0.6 = 6 \div 10[/tex]
Step-by-step explanation:
To convert a decimal to a fraction
place the decimal number over its place value
For example
in 0.8 the 8is in the tenths place,
so we place 6 over 10 to create the equivalent fraction, 8/10.
example 2
=6.25
625/100
25/4
Leslie buys a new pair of sneakers for
$43 and several pairs of laces, I, that
cost $6 each. Write an algebraic
expression to represent the total
amount she will spend.
Answer:
$43 + $6l
Step-by-step explanation:
Hello!
She spends $43 and bus several $6 laces.
We don't know how many she buys, but we know that we can represent that number using l.
That means she spends $43 + $6l.
The algebraic expression is $43 + $6l.
We can determine the price if we know the number of laces she buys. We can simply plug in the number of laces she bought, and we can plug it in for l in the equation.
Answer:
43= 6(x)
Explanation:
43 is the total, and each of them are 6$ each. X is the variable that we don't know.
please help !!!! and please answer every question not just one part.
Answer:
1) C. x-1 tells us that it has decreased by a value
2) original number of apples
3) 4(x-1)=28. Divide by 4, then take the 1 over
Evaluate the numerical expression.
9 × [(25 − 4) − (4 + 6)]
The value of the expression is
Answer:
firstly the inner brackets are simplified followed by the outer brackets, and finally the value we got from simplifying brackets is multiplied with 9
A shipment of 14 smartphones contains 8 with cracked screens. if they are sold in a random order what is the probability that the 1st 3 sold have cracked screens? (without replacement)
Answer:
4/7 or 57 percent rounded up
Step-by-step explanation:
initially, you put 8/14 as a fraction then divide both the top and bottom by 2 to get 4/7 as that's the lowest you can get the number reduced.
A map has the scale 1 : 200,000 and the distance between two villages on the map is 8 cm. What is the distance in metres between the towns in real life?
The distance in metres between the towns in real life is 1600000 meters
How to determine the distance in real life?The scale ratio is given as:
Scale = 1 cm : 200000 m
The map distance of 8cm implies that:
8 cm : Real = 1 cm: 200000 m
Express as fraction
Real/8 = 200000 m/1
Multiply both sides by 8
Real = 1600000 m
Hence, the distance in metres between the towns in real life is 1600000 meters
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Convert 3678 grams to kilograms
Answer:
3.678 Kilograms
Answer:
3678/1000
=3.678kg
the answer is 3.678kg
Area of the shaded segment=
The area of the entire sector is [tex](\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi[/tex]
The area of the triangle OAB is [tex]\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}[/tex].
So, the area of the segment is [tex]\boxed{6\pi-9\sqrt{3}}[/tex]
f(x) = 4x² + 5x - 3
g(x) = 4x³
3x² + 5
Find (f+g)(x).
Answer:
[tex]4x^3+7x^2+5x+2[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=4x^2+5x-3[/tex]
[tex]g(x)=4x^3+3x^2+5[/tex]
[tex]\begin{aligned}\implies (f+g)(x)=f(x)+g(x) & = (4x^2+5x-3) + (4x^3+3x^2+5) \\& = 4x^2+5x-3+4x^3+3x^2+5 \\& = 4x^3+4x^2+3x^2+5x-3+5 \\& = 4x^3+7x^2+5x+2 \\\end{aligned}[/tex]
What is the value of x? Do not round your answer.
Answer:
x = 3
Step-by-step explanation:
Setup a proportion
[tex]\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3[/tex]
What is the scale factor of the dilation of line segment ba? one-fifth one-fourth 4 5
The scale factor of the dilation of line segment BA is 1/5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure.
From the diagram:
scale factor of BA = AC / CA' = 4 / (4 + 16) = 1/5
The scale factor of the dilation of line segment BA is 1/5.
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Answer:
B
Step-by-step explanation:
I do believe
Simplify the expression to a + bi form:
√4+ √−4+√36 + √−4
Answer:
8 + 4i
Step-by-step explanation:
according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i
Consider function g.
g(x)={(6,-8<=(-2)<-2 ),(0,-2<=(-2)<4),(-4,4<=(-2)<10):}
What are the values of the function when x = -2 and when x = 4?
g(-2) = __
g(4) = __
By evaluating the piecewise function, we get:
g(-2) = 0.
g(4) = 4.
How to evaluate the piecewise function?A piecewise function is a function that behaves differently in different parts of its domain.
Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:
g(-2) = 0.
For x = 4, it belongs to the third domain, then we have:
g(4) = 4.
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Write an equation for the line through the point (1,3) parallel to
the line y =
1/2x + 10.
Answer:
y=1/2x+5/2
Step-by-step explanation:
The slope will not change if the line is parallel.
So start with 1/2x and plug in 1.
You will get 1/2 and you need to get a total of 6/2 to get a y of 3.
since you already have 1/2 the remanding value needed is 5/2 and once you add the two you will get 6/2 which equals a y of 3.