Answer:
-8, 8
Step-by-step explanation:
[tex] {x}^{2} - 47 = 17 \\ \\ {x}^{2} = 17 + 47 \\ \\ {x}^{2} = 64 \\ \\ x = \pm\sqrt{64} \\ \\ x = \pm \: 8 \\ \\ x = - 8, \: \: 8[/tex]
Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. if gerda buys 50 bulbs, how many of them are expected to last less than 800 hours? give your answer correct to the nearest integer.
10% of the 200 athletes at a lacrosse tournament have yellow jerseys. How many athletes have yellow jerseys?
Answer:
20 athletes
Step-by-step explanation:
Maria and Bridgette both belong to the same public pool and attend swim classes with a coach. Maria pays $105 for her season pass and 6 swim classes. Bridgette pays $135 for her season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended? Explain what each variable represents and identify the initial value and the rate of change. Show your work.
Answer:
T = 10s + 45Step-by-step explanation:
Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.
Let the season pass be y and swim class cost be x.
Then according to given we have the following equations
y + 6x = 105y + 9x = 135Solve the system by elimination, subtract the equations
y + 9x - y - 6x = 135 - 1053x = 30x = 10Find y
y + 6*10 = 105y = 105 - 60y = 45The initial value is 45 and rate of change is 10.
The equation for the total cost would be
T = 10s + 45, where T - total cost, s - number of swim classesApproximate √17 to the nearest tenth. USE THE NUMBER LINE TO RECEIVE CREDIT.
Answer: 290
√17= 289
289 to the nearest 10th is 290
Write the product using exponents.
Answer:
3^4
Step-by-step explanation:
because I took the test
PLEASE HELP ME I NEED ANSWERS
What’s the circumference?
Answer:
C=2πr=2·π·4≈25.13274
Step-by-step explanation:
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
If point a is at (-1,2) and point b is at (11,-7), what is length of line ab?
Answer:
15
Step-by-step explanation:
Distance formula: [tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
Plug in (-1,2) and (11, -7):
[tex]d=\sqrt{(11-(-1)^{2}+(-7-2)^{2} } = d=\sqrt{(12)^{2}+(-9)^{2} }=\sqrt{144+81} = \sqrt{225} = 15[/tex]
what’s the area and the perimeter and of the triangle?
Answer:
Area = 3.3998
Perimeter = 2.9
Step-by-step explanation:
A method for calculating the area of a triangle when you know the lengths of all three sides.
Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = √ p ( p − a ) ( p − b ) ( p − c )
where p is half the perimeter, or
a + b + c / 2
p = 1.7 + 1.7 + 2.4 / 2 = 5.8 / 2 = 2.9
a = Area = 3.3998
Heron was one of the great mathematicians of antiquity and came up with this formula sometime in the first century BC, although it may have been known earlier. He also extended it to the area of quadrilaterals and higher-order polygons.
what is the initial value of the linear relationship of -2, 3
An 8th Grader is paid for the chores they do around the house. (Although they shouldn't be paid... They don't pay rent and eat for free. That is payment enough!)
The table shows the frequency and cumulative frequency of their undeserved income. Fill in the missing blanks.
Months Income Cumulative
1 to 3 $100 .............$-----
4 to 6 $------ ------$300
7 to 9 $ ------------ $400
10 to 12 $300 ............$-----
Answer
100 to 300
200 to 300
320 to 400
250 to 300
I hope this helps
What is the value of
x²
y¹
=
x = 8 and y = 2?
Answer:
×= 64
y= 2
Step-by-step explanation:
×= 8
y=2
=x²+ y¹
= 8²+2¹
= 64+2
Answer:
64 = x^2 | y^1 = 2
Step-by-step explanation:
x squared= 8 squared or 8*8 so it's 64. y squared to the other of one is equal to 2*1 which is 2.
Two boats leave the same marina. One heads north, and the other heads east. After some time, the northbound boat has traveled 16 miles. If the two boats are 20 miles apart, how far has the eastbound boat traveled?
Answer:
4 Miles
Step-by-step explanation:
Simple, if the boat heading North has traveled 16 miles then the boat heading East has only traveled 4 miles.
How do I get the answer
One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°
so we have angles of bigger triangle:-
60° 60+35= 95° x( to find )Use angle sum property( sum of all interior angles is 180°)
[tex]x + 60 + 95 = 180 \\ x = 180 - 60 - 95 \\ x = 120 - 95 \\ x = 25 \degree[/tex]
The product of two consecutive integers is 72. the equation x(x 1) = 72 represents the situation, where x represents the smaller integer. which equation can be factored and solved for the smaller integer? x2 x – 72 = 0 x2 x 72 = 0 x2 2x – 72 = 0 x2 2x 72 = 0
The equation that can be factored and solved for the samller integer is x² + x - 72 = 0
How to form an equation?The product of two consecutive integers is 72. The equation that represents the situation is as follows:
x(x + 1) = 72
where
x = smaller numberTherefore,
x(x + 1) = 72
x² + x = 72
x² + x - 72 = 0
Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0
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If 10^2y = 25, then 10^-y equals:
(a) -1/5
(b) 1/625
(c) 1/50
(d) 1/25
(e) 1/5
[tex]10 ^{2y} = 25[/tex]
to find:[tex] {10}^{y} = .......[/tex]
solution:[tex]10 ^{2y} = 25[/tex]
[tex] (10y {)}^{2} = {5}^{2} [/tex]
[tex]10y = 5[/tex]
[tex] \frac{1}{ {10}^{y} } = \frac{1}{5} [/tex]
[tex] {10}^{ - y} = \frac{1}{5} [/tex]
therefore, the correct answer is option E.
the correct option is option e.
hope this helps you
have a great day
please give me brainliest.
If you roll a die and get a 5 and then roll the die again and get a 3, are those independent events?
Of the last 15 people at a carnival booth, 6 won a prize. what is the experimental probability that the next person at the booth will win a prize?
Answer:
40% or 2/5
Step-by-step explanation:
won = 6
total no. of people = 15
probability of winning = 6/15 = 2/5
2/5*100
=40%
The image is the question
Answer:
6h^2 - 19h + 15
Find two numbers that their sum is -19 and their product is 90.
Hence, the numbers will be -9 and -10
6h^2 - 9h - 10h + 15
3h(2h - 3) -5(2h - 3)
(2h - 3)(3h - 5)
In a right-angled triangle, the sum of the squares of the three sides is 72. What is the length of the hypotenuse?
Answer:
The hypotenuse has a length of 6
Step-by-step explanation:
Remark
The first step is to create the 2 equations needed to solve this problem.
Then substitute one into the other.
Equations
c^2 + a^2 + b^2 = 72
c^2 = a^2 + b^2
Solution
c^2 + a^2 + b^2 = 72 The sum of the sides each squared of a right triangle = 72
c^2 = a^2 + b^2 The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2
c^2 + c^2 = 72
2c^2 = 72
c^2 = 36
c = 6. minus 6 is meaningless
2 • 3^2-1=
A)17
C)11
B)16
D)33
Answer:
A) 17
Step-by-step explanation:
3x3=9x2=18-1=17
you start with parenthasis, then exponents, then mulitplication/division, and finally addition/subtraction
Answer:
17
Step-by-step explanation:
2 • 3² - 1
= (2 • 3²) - 1
= (2 • 9) - 1
= 18 - 1
= 17
Rember to use the PEMDAS order, where,
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
_____
Hope it helps ⚜
What is the value of x innthe equation 1.5(x+4)-3=4.5(x-2)
[tex]~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4[/tex]
math help questions
After 1 year, the initial investment increases by 7%, i.e. multiplied by 1.07. So after 1 year the investment has a value of $800 × 1.07 = $856.
After another year, that amount increases again by 7% to $856 × 1.07 = $915.92.
And so on. After t years, the investment would have a value of [tex]\$800 \times 1.07^t[/tex].
We want the find the number of years n such that
[tex]\$856 \times 1.07^n = \$1400[/tex]
Solve for n :
[tex]856 \times 1.07 ^n = 1400[/tex]
[tex]1.07^n = \dfrac74[/tex]
[tex]\log_{1.07}\left(1.07^n\right) = \log_{1.07}\left(\dfrac74\right)[/tex]
[tex]n \log_{1.07}(1.07) = \log_{1.07} \left(\dfrac74\right)[/tex]
[tex]n = \log_{1.07} \left(\dfrac74\right) = \dfrac{\ln\left(\frac74\right)}{\ln(1.04)} \approx \boxed{8.3}[/tex]
Answer:
25 years
Step-by-step explanation:
total = before × percent ( in decimal ) × time
1400 = 800 × 0.07 × t
1400 = 56 × t
1400 ÷ 56 = 25
t = 25
Hope this was helpful!
Which equation is represented by the graph below? on a coordinate plane, a curve starts at (0, 1) and then increases and approaches y = 7. y = e superscript x baseline 5 y = e superscript x baseline 4 y = l n x 4 y = l n x 5
The equation that is represented by the indicated graph is:
Y = ln X + 4 (Option C). See the definition of an equation below.
In mathematics, Equations are defined as mathematical statements or expressions where a string of factors that have been stated mathematically are equated to one another using the equals sign.
Hence the equation that represents the graphs is option C.
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Answer:
y = ln x + 4
just got it right on edge
Damian created a table to record how many flavors of Candy Whizz candies he has in his jar.
Flavor of Candy Frequency
Chocolate
51
Fudge
40
Orange
14
Vanilla
20
Damian randomly pulls a piece of candy from the jar and then puts it back in the jar. If he does this 50 times, how many times is a vanilla-flavored candy expected to be pulled
from the jar?
Options:
04
16
20
08
The number of times Damian would pick a vanilla-flavored candy from the jar is 8 times.
How many times would Damian pick a vanilla-flavored candy?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The number of times Damian would pick a vanilla-flavored candy = number of vanilla flavored candy / total number of candies
20 / 125 = 0.16
0.16 x 50 = 8 times
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Select the correct answer.
Which combination of shapes could be used to model the piano will give the best estimate of its volume?
OA 3 cones and a pentagonal prism
OB. 3 cylinders and a rectangular prism
Oc 3 cylinders and a pentagonal prism
OD
3 cones and a rectangular prism
The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism
How to find the shape of a pianoThe shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.
In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.
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Answer:
Step-by-step explanation:
Pls helppp!
9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?
The spinner is divided into 8 equal-sized sections. enter the probability of the arrow landing on a section labeled 4 on the first spin
Answer: 1/8
Step-by-step explanation:
Evaluate for f(-2)
f(x) = 3/2x - 4
Answer:
f(-2) = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given function.
[tex]\displaystyle f(x) = \frac{3}{2}x - 4[/tex]
Step 2: Find f(-2)
[Function] Substitute in x:∴ the function when x = -2 is equal to -7.
---
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Topic: Algebra I
A circular patio has a diameter of 2 yards. What is the area of the patio? Use
3.14 for it
O A. 3.14 yd
B. 12.56 yd?
O c. 6.28 yd2
D. 4.14 yd?