3.1(g-7)-1=5.2 what is G
Answer:
g = 8.7
Step-by-step explanation:
3.1 (g - 7) = 5.2
Multiply by 3.1
3.1g - 21. 7 = 5.2
Add 21.7 to both sides
3.1g = 5.2 + 21.7
3.1g = 26.9
Divide both sides by 3.1
g = 26.9 / 3.1
g = 8.677 = 8.7
Cassidy's diving platform is 6 ft above the water. One of her dives can
be modelled by the equation d = x2 - 7x + 6, where d is her position
relative to the surface of the water and x is her horizontal distance from
the platform. Both distances are measured in feet. How deep did Cassidy
go before coming back up to the surface?
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.
A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.
What kind of statistical study did the veterinarian conduct?
A.
theoretical study
B.
survey
C.
experiment
D.
observational study
Answer:b
Step-by-step explanation:
Plato
please help me with this question
Answer:
B. 36
Step-by-step explanation:
I need your help please 4x−2≤18
Answer:
x ≤ 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define Inequality
4x - 2 ≤ 18
Step 2: Solve for x
Add 2 to both sides: 4x ≤ 20Divide 4 on both sides: x ≤ 5Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?
p:-3x + 8x - 5x = x
q: (3x)(5y) = 15xy
Which of the following statements is false?
Answer: Statement p is false.
Step-by-step explanation:
In both cases, we need to isolate the variables:
p: -3*x + 8*x - 5*x = x
(-3*x - 5*x) + 8*x = x
-8x + 8*x = x
0 = x
This will be true only for one value of x, so this is not always true, which means that the statement is false.
q: (3*x)*(5*y) = 15*x*y
let's solve the left side:
3*x*5*y = 15*x*y
(3*5)*(x*y) = 15*x*y
15*x*y = 15*x*y
This is true for every value of x and y, then this statement is true.
Is 40/48 and 56/42 proportional
No
The first fraction is under 1 whole while the second fraction is over 1 whole.
40/48 and 1 14/42 is what this is equal to.
May I have brainliest please? :)
Answer:
No
Step-by-step explanation:
the two fractions go down to
40/48= 5/6
56/42= 8/7
So, No
Pls help due at midnight
Answer:
8.77
Step-by-step explanation:
Answer:
I believe the answer is A) $8.77
step1) multiply the cost of peaches oer pound by 18.4
step2) add the cost for the peaches to the cost for the pineapple
step3)divide the cost by 4
helpppp, i don’t get thisss :,))
please answer me fast
Answer:
Step-by-step explanation:
A bar chart is a graphical representation of data, showing the relationship between two variables in the form of bars. the height of each bar expresses the connection between the variables.
In the given question, plot the number of weeks given against the cost of living index so as to have a clear picture of the relationship between the variables.
The attachment to this answer shows the bar chart for the given data.
The perimeter of the triangle shown below is 37 centimeters. Find the value of x.
2r + 1
3x
2(x + 4)
Answer:
4
Step-by-step explanation:
Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)
= 2x + 1 + 3x + 2x + 8
= 7x + 9
7x + 9 = 37
7x = 37 - 9
= 28
x = 28 ÷ 7
x = 4
1.6 as an improper fraction in simplest form.
Answer:
Step-by-step explanation:
1+0.6
6/10 simplifed into 3/5
+1(which can be written anso as 5/5)
so 3/5 + 5/5 is 8/5 or 1 and 3/5
(100 POINTS PLUS BRAINIEST)
All is need is for you to measure 5 of a person’s left foot(in inches) and then measure the length (in inches) of that same person’s forearm
Please big rewards for you ever does it
Answer:
Check my explanation
Step-by-step explanation:
Okay. I measured my left foot and it's 11 inches. (5 of that is 55 inches.) My forearm is about 11 inches, too?
What is this even for? I have no clue, but it sounds interesting right off the bat.
One number exceeds the other by 9 and their sum is 81. Find the
numbers.
Answer:
36, 45
Step-by-step explanation:
Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.
Jason puts 500$ in a savings account at an annnual interest rate of 3% if he does not put money in or take money out what is the interst he will get at the end of 8 months round up to the nerest cent
Answer:
$500.1
Step-by-step explanation:
Step one:
principal= $500
rate= 3%
time 8 months
Required
The final amount
Step two;
simple interest= PRT/100
SI= (500*0.03*8/12)/100
SI=10/100
SI=0.1
The final amount is
Amount= 500+0.1
Amount= $500.1
PLEASE HELP!!!!!!!!!!!!!!!!!!
Answer:
I hope this helps :)
what is the best decimal equivlanet to 3 9 100
Hey there!
“What is the best decimal equivalent to 3 9/100?”
3(100) + 9
3(100) = 300
300 + 9 = 309 ⬅️ solving for your numerator
100 ÷ 1 = 100 ⬅️ solving for your denominator
309 / 100 ➡️ 309 ÷ 100 = 3.09
Thus your answer is: 3.09 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Find the distance between the points (-4, 10) and (-4, -8).
Answer:
18 units
Step-by-step explanation:
(-4 , 10) and (-4, -8)
Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]
[tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?
Answer:
A) Amount = $ 116,601.31
B) Compound Interest = $ 91,601.31
Step-by-step explanation:
Compound interest Formula
A = P(1 + r/n)^nt
Where
P = Initial amount invested = $25,000
r = interest rate = 5.5 %
n = Compounding frequency = daily
t = time in years = 28 years
A). What amount will he have in his account 28 years later ?
First, convert R percent to r a decimal
r = R/100
r = 5.5%/100
r = 0.055 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.000150685/365)^(365)(28)
A = $ 116,601.31
B.) How much will be compound interest ?
I = Amount - Principal
A(Amount ) = $ 116,601.31
P (principal) = $ 25,000.00
I = $ 116,601.31 - $ 25,000.00
I (interest) = $ 91,601.31
Help !!!! i don’t understand and its duee tomorrow
Answer:
73. 61 degrees
74. x= 31
75. 37 degrees
76. x=27
78. x=96 z=151 y=68
79. x= 66 y=z y and z =88
80. y =43 z=90 x = 71
81= x=95 y=51 z=39
83. g=49 h=117 j=49 m=55 k = 76
84= b=37 a=143 c=37 d=121 e=158 f=22 h=50 g=108
Step-by-step explanation: As far as I can go sorry
HELP! HELP! HELP! IT IS DUE TODAY YOU WILL GET 100 POINTS JUST HELP!
Answer:
___Its the first option___
Answer:
A
Step-by-step explanation:
The square root of 16 is 4 and of 49 is 7. 4/7 is equivalent to the square root of 16/49.
Please help answer this I need to get this done
Braniliest
Which number is in the solution set of the inequality x > 25?
A) 16
B) 19
C) 22
D) 28
Answer:
D. 28
Step-by-step explanation:
This answer is it because 28 is greater than 25.
im sorry for asking questions but i suck at math :/
A. 1 pair of corresponding points are N and L or you could use S and H.
but i do not know the question B sorry.
HELP NEEDED ASAP PLEASE!
Answer:
I think its C
Step-by-step explanation:
What’s da answerrr ?..
Answer:
It is half as much. urysukdhwjx8hdjdhvndkduc
If all 3 drones have the same mass which one has the thr greatest acceleration?
Answer:
We conclude that the red drown has the greater the acceleration.
Step-by-step explanation:
Given
Given that all 3 drones have the same mass.
To determine:
Which drone has the greatest acceleration
From the figure, it is clear that the red drown has a steeper slope. We know that the steeper the slope of the line the greater the acceleration.
It is also visible the red drone has already covered 50 km in just 50 minutes speed, while the blue drone covered around 30 km in 50 minutes and the green drone is the slowest of all, covering less than 20 km in 50 minutes.
Therefore, we conclude that the red drown has the greater the acceleration.
please solve these two questions
Answer:
Question 4
Simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2
Option D is correct option.
Question 5
Simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]
Option C is correct.
Step-by-step explanation:
Question 4
Simplify completely [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex]
For simplifying the above expression we have to find find factors of numerators and denominators
First finding factors of numerator [tex]x^2-10x-24[/tex]
[tex]x^2-10x-24\\ = x^2-12x+2x-24 \\= x(x-12)+2(x-12) \\=(x-12)(x-2)[/tex]
So, the factors of [tex]x^2-10x-24[/tex] are [tex](x-12)(x-2)[/tex]
Now finding factors of denominator [tex]x^2-3x-108[/tex]
[tex]x^2-3x-108\\=x^2-12x+9x-108\\=x(x-12)+9(x-12)\\=(x+9)(x-12)[/tex]
So, factors of [tex]x^2-3x-108 are (x-12)(x+9)[/tex]
Now, replacing numerators and denominators with their factors
[tex]\frac{x^2-10x-24}{x^2-3x-108}\\=\frac{(x-12)(x-2)}{(x+9)(x-12)}\\Cancelling\:(x-12) \: from\:numerator\:and\:denominator\\=\frac{x-2}{x-9}[/tex]
so, simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2
Option D is correct option.
Question No 5
Simplify the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex]
For simplifying the above expression we have to find find factors of numerators and denominators
First finding factors of numerator [tex]8x-16[/tex]
Taking 8 common:
[tex]8x-16\\=8(x-2)[/tex]
So, factors of [tex]8x-16[/tex] are [tex]8(x-2)[/tex]
Now finding factors of denominator : [tex]x^2-13x+22[/tex]
[tex]x^2-13x+22\\=x^2-11x-2x+22\\=x(x-11)-2(x-11)\\=(x-2)(x-11)[/tex]
Now, replacing numerators and denominators with their factors
[tex]\frac{8x-16}{x^2-13x+22}\\=\frac{8(x-2)}{(x-11)(x-2)}\\Cancelling\:(x-2)\\=\frac{8}{x-11}, x\neq 11[/tex]
So, simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]
Option C is correct.
Simply this plz ո • ո3
Answer:
Answer is n^4
Step-by-step explanation:
You add the exponent when they are multiplying and have the same base
Answer:
n^4
Step-by-step explanation:
n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.