Given the equation 47=38+n, tell which value is a solution from the solution set n={7, 9, 11, 13}
First, let's solve this equation by subtract 38 from both sides:-
[tex]\bigstar[/tex] 47-38=n
hence, the answer is:-
9=n
or
[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Find the distance between the two points
☟ ︎Photo down below ☟
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's use distance formula ~
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 - ( - 4)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 + 4) {}^{2} + ( - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 36+ 1{}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 37{}^{} } [/tex]
Therefore, the required distance is [tex]\sf \sqrt{37}[/tex] units
how does the number if possible outcomes of a single event help you determine the total number of possible outcomes of a compound event?
The possible outcomes of an event is the sample space
The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
How to determine the possible outcomes?Assume that the number of outcomes of n single events are:
[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]
When these single events are combined, they form a compound event.
The number of outcomes of the compound event is the product of the number of outcomes of the single events.
i.e.
[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]
Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event
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please help me
Select the reason that best
supports Statement 4 in the
given proof.
A. Transitive Property
B. Multiplication Property of Equality
C. Substitution
D. Given
Answer: C
Step-by-step explanation:
They are substituting PQ=25 from steps 1 and 3.
Hazel and 4 of her friends bought tickets for a baseball game. They received a $30 group discount. If the total cost was under $125, how much could each ticket have been?
Each ticket could have cost up to $31.
What is the discount?
A discount is a reduction in the price of an item or service. It is often offered as an incentive to encourage customers to purchase or use a particular product or service. The discount amount may be a percentage of the total price, a fixed dollar amount, or a combination of both.
Let the cost of each ticket be $x. Then the total cost for 5 tickets would be 5x. After applying the $30 group discount, the total cost would be 5x - $30.
We know that the total cost was under $125, so we can set up the inequality:
5x - $30 < $125
Simplifying this inequality, we get:
5x < $155
Dividing both sides by 5, we get:
x < $31
Hence, each ticket could have cost up to $31.
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#SPJ1
-2x^2+bx -5 Determine the b-value that would ensure the function has two real root.
Answer:
No solutionStep-by-step explanation:
Given is the quadratic function
y = -2x² + bx - 5In order to have two real roots the discriminant should be posivive
D = - b² - 4acD = - b² - 4(-2)(-5) = - b² - 40We need D > 0
-b² - 40 > 0b² + 40 < 0b² < - 40There is no solution as b² is never negative
Is (-7, -3) a solution to this system of equations?
x = -7
y = -x - 10
Yes or no
===========================================================
Explanation:
The point (-7,-3) means x = -7 and x = -3
Right off the bat, the first equation x = -7 is proven true based on the first coordinate.
Let's now plug the coordinates into the second equation.
y = -x-10
-3 = -(-7)-10
-3 = 7-10
-3 = -3
Which is a true statement.
Both equations are true when (x,y) = (-7,-3)
This is why it is a solution to the system. It turns out it's the only solution to this system. This system is consistent and independent.
You can use a graphing tool like Desmos to plot the two equations, and you should see them crossing at the point (-7,-3)
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
x = -7
y = -x - 10
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the first equation, for x, into the first equation:
x = -7
y = -x - 10
y = -(-7) - 10 <== multiplying two negatives, makes a positive
y = 7 - 10
y = - 3 <== the value of y
Now, we find the value of x by substituting - 3 for y:
y = -x - 10
- 3 = -x - 10
+10 +10
7 = -x <== you can't have a negative variable
/-1 /-1
-7 = x <== the value of x
(x, y) ==> (-7, -3)
Therefore, yes (-7,-3) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Put the equation below into vertex form.
y=(x+9)(x+25)
4. 10% of 210 is?
0.21
2100
2.10
21
PLEASE HELP!! 15 points asap!
Answer:
10% of 210 is 21
Step-by-step explanation:
The 1 in 10% is much help. Move the decimal point one place to the right.
I know this is not much, but I hope this helps :)
Which of the following choices simplifies -(-x + 1)?
-x − 1
x − 1
-x + 1
x + 1
Answer:
x-1 is ur answer :)
Step-by-step explanation:
Please help me my teacher hasn't been helping me I really need your help
Answer:
550.5323531336038
Step-by-step explanation:
I have a hint: if you ever need help with triangle trigonometry questions go to carbside depot trigonometry calculator it is a literal life savor
PLSS help important
(will gibe brainliest)!
I dont understand this
To form the vector notation for the translation:
--> must find how much the new graph moved horizontally from the old
graph
--> the graph moved 8 units horizontally
--> must find how much the new graph moved vertically from the old
graph
--> the graph moved 4 units vertically
In vector notation, that would be (8,4)
Hope that helps!
An investment account plays 3.7% annual interest compound weekly. If $370 is invested in this account, what will be the balance after 12 years?
Answer: 358
Explanation: 370 - 12 = 358
round to the nearest hundredth
(please help picture inculded)
Answer:
AB ≈ 6.53
Step-by-step explanation:
using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{AB}[/tex] ( multiply both sides by AB )
AB × cos40° = 5 ( divide both sides by cos40° )
AB = [tex]\frac{5}{cos40}[/tex] ≈ 6.53 ( to the nearest hundredth )
Whitney flips a coin and gets heads 45% of
the time.
She gets heads 54 times.
How many times did she flip the coin?
HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer:
93
Step-by-step explanation:
19x-2 = 18x+3
x=5
15(5) -2=93
18(5)+3=93
In ΔWXY, y = 8.6 cm, x = 8.5 cm and ∠X=100°. Find all possible values of ∠Y, to the nearest 10th of a degree.
The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.
How to find angle of a triangle using sine rule
Let's find angle Y using sine rule,
Hence,
x / sin X = y / sin Y
where
x = 8.5 cmy = 8.6 cm∠X = 100°8.5 / sin 100° = 8.6 / sin Y
cross multiply
8.5 sin Y = 8.6 sin 100°
sin Y = 8.6 sin 100° / 8.5
sin Y = 8.4693466759 / 8.5
Y = sin ⁻¹ 0.99639372657
Y = 85.1325941735
∠Y = 85.1°
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please help, what would the answer be?
I need the help with geometry problem
Answer: sqrt(182)
Step-by-step explanation:
If 3x - 5y = 11 and 2x + 3y = 5, then what is the ratio of x to y?
Answer:
-58/7
Step-by-step explanation:
Alright so this is a system of equations. First we'll solve the system, and then find the ratio afterwards.
[tex]3x-5y = 11\\2x+3y =5\\[/tex]
Isolate for y on both.
[tex]2x + 3y = 5\\3y = 5-2x\\y = \frac{5-2x}{3}[/tex]
and
[tex]3x - 5y = 11\\-5y = 11-3x\\y = \frac{11-3x}{-5}[/tex]
Set both equations equal to each other:
[tex]\frac{11-3x}{-5} = \frac{5-2x}{3}\\ \\\frac{3(11-3x)}{-5} = 5-2x\\ \\3(11-3x) = -5(5-2x)\\\\33 - 9x = -25 + 10x\\33 = -25 + 19x\\58 = 19x\\\frac{58}{19} = x[/tex]
We've got x, now let's solve for y:
[tex]y = \frac{11-3x}{-5} = \frac{11-3(\frac{58}{19}) }{-5}[/tex]
Now we got both x and y, and what they equal.
[tex]y = \frac{-7}{19}\\[/tex]
[tex]x = \frac{58}{19}[/tex]
The ratio of x to y, is essentially [tex]\frac{x}{y}[/tex]. So we will calculate that.
[tex]\frac{\frac{58}{19} }{\frac{-7}{19} } = \frac{58}{19} * \frac{19}{-7} = \frac{-58}{7}[/tex]
What is the number with the mark
[tex]\huge\mathsf\blue{♧ANSWER♧}[/tex]
[tex]\huge \mathfrak \blue{\frac{ - 7}{8} }[/tex]
PRESLEY
You are curious about the amount of coffee that the giant fountain cup could actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, roase, and radius of the top, rtop, to determine the volume
of the cup:
(πh).
V= -((rbase)+ (rbase) (stop) + (top)).
3
There are 7.5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
The volume of the fountain cup in gallons is 4775.2 gallons
Volume of a frustumSince the fountain cup is in the shape of a frustum, its volume is given by
V = πh/3(r² + rr' + r'²) where
h = height of cup = 8 feet, r = radius of base of cup = 4 feet and r' = radius of top of cup = 6 feet.So, substituting the values of the variables into th equation, we have
V = πh/3(r² + rr' + r'²)
V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]
V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]
V = π × 8 ft/3 × (76 ft²)
V = 608π ft³/3
V = 1910.088 ft³/3
V = 636.69 ft³
V ≅ 636.7 ft³
Volume of the fountain cup in gallonsSince there are 7.5 gallons per cubic foot,
The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons
So, the volume of the fountain cup in gallons is 4775.2 gallons
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A plant starts with 1 branch. Every year,
each branch becomes 3 branches. A
sketch of the plant for the first 3 years is
shown. How many branches will the plant
have in year 10?
TYP
I V
Year 1
Year 2
Year 3
How many branches would the plant
have in year 10 if the plant ad
5 branches the first year? (Each branch
still becomes 3 branches every year.
Answer:
120
Step-by-step explanation:
we go add 3+1=4 and then 4×3=12 and then 12×10=120
When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than the actual time. How long did it take before Derek picked his first ripe tomato?
Answer:
60 days.
Step-by-step explanation:
Let the actual time be x, then:
x - 0.25x = 45
0.75x = 45
x = 45/0.75
= 60 days.
The expression 1/2 bh gives the area of a triangle where b is the base of the triangle and h is the height of the triangle. What is the area of a triangle with a base of 7 cm and a height of 4 cm?
Answer:
The area of a triangle is 14 cm square.
Step-by-step explanation:
Given : The expression gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.
To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?
Solution :
The area of triangle is
Where,b is the base b=7 cm
and h is the height h=4 cm.
Substitute in the expression,
Therefore, The area of a triangle is 14 cm square.
Which value is a solution to x <
Answer:
0
Step-by-step explanation:
it less than 4 so u can't pick 4,so it is any number less than 4
Answer:
B) 0
Step-by-step explanation:
The open circle on 4 and the arrow pointing to the left means x < 4
x < 4 means that x is smaller than 4
4 = 4 incorrect as this says 4 is equal to 4
0 < 4 CORRECT as zero is smaller than 4
5 > 4 incorrect as 5 is bigger than 4
4.5 > 4 incorrect as 4.5 is bigger than 4
6,402.66 divided by 459438.26
Answer: 0.0139358
Step-by-step explanation: 999,999,999,999,999,999,999,999,999,999,999% sure!
what are the coordinates of point G
Calculate distance of G from x and y axis(1 box=1unit)
x axis=8y axis=5So
the coordinate is
(x,y)=(5,8)Answer:
(5,8)
Step-by-step explanation:
x=5
y=8
(x,y)= (5,8)
What is the end behavior of the function f of x equals 3 times the cube root of x?
As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
The end behavior of [tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex] is how its value changes as x changes
The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]
How to determine the end behavior?The function is given as:
[tex]f\left(x\right)\ =3\sqrt[3]{x}[/tex]
The above function is a cube root function.
A cube root function has the following properties:
As x increases, the function values increasesAs x decreases, the function values decreasesThis means that the end behavior of the function is:
[tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]
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Answer:
The answer is A
Step-by-step explanation:
Had taken the test
Phil bought a new calculator. It cost $12.40. The tax rate is 7.25%. Calculate the sales tax.
Answer:
$0.90
Step-by-step explanation:
0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)