If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7
[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
m(arc DE)=105 and M(arc BC)=70 Find M
Answer:
a. 70
Step-by-step explanation:
Please fast as possible.
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
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pls help i really need help STOP SENDING ME LINK
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
0
Step-by-step explanation:
We will use the rule of order of operations
15 + 4 = 19
20 + 5 = 25
19 squared = 361
3 x 361 = 1083
25 squared = 625
625 x 2 = 1250
New equation =
1083 + 1250
=
2333
But you multiply by 0 so it equals 0
To make I a subject of the formula V = IR, we *
subtract R from both sides
multiply both sides by R
divide both sides by R
divide both sides by I
The original
Equation is V = IR
Where I is multiplied by R
To solve for I you need to isolate it by dividing both sides by R
I = V/ R
Answer: divide both sides by R
Answer:
To make I a subject of the formula V = IR, we divide both sides by R.
Step-by-step explanation:
V = IR
V/R =IR/R
The R in IR/R cancels out because it is on the other side.
We then have:
V/R = I
Which can be written as:
I = V/R
Hope this helps! Have a great day!
Solve for x: 4(x-5) 8. = 9y
Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.
Based on the information given, the equations to solve the question will be:
28s + 4a = 262 ....... i
22s + 2a = 191 ....... ii
Multiply equation i by 2
Multiply equation ii by 4
56s + 8a = 524
88s + 8a = 764
Subtract the equations above
32s = 240
s = 240/32 = 7.5
Student's tickets = $7.5
Adult's ticket will be:
22s + 2a = 191 .
22(7.5) + 2a = 191
165 + 2a = 191
2a = 191 - 165
2a = 26
a = 26/2 = 13
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If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
Kiran and Mai are going on a long bike ride.
• Kiran can ride 4 miles every 16 minutes.
Mai can ride 4 miles every 12 minutes.
.
How long will it take each rider to reach the end of a 12-mile bike path?
1) It will take Kiran minutes to reach the end of a 12-mile bike path?
2) It will take Mai
minutes to reach the end of a 12-mile bike path?
Blank 1:
Blank 2:
Question 4 (2 points)
Answer:
kiran will take 48 minutes 16 x 3
mai will take 36 minuttes 13 x 3
Step-by-step explanation:
(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.
(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Kiran rides 4 miles every 16 minutes.
Also, Mai rides 4 miles every 12 minutes.
To find the time taken by Kiran and Mai to reach 12 mile bike paths,
Use ratio property,
Time taken by Kiran to ride 4 miles = 16 minutes,
For 1 mile = 4 minutes,
For 12 miles = 12 x 4 = 48 minutes
Time taken by Mai to ride 4 miles = 12 minutes,
For 1 mile = 3 minutes
For 12 miles = 12 x 3 = 36 minutes.
Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.
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what is the slope of the line on the graph
Answer:
5
Step-by-step explanation:
Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72
Answer:
Option B is the correct answer
Step-by-step explanation:
Complimentary angles mean sum of angles is [tex]90^{0}[/tex]
Let the smaller angle be [tex]x[/tex]
Other angle is [tex]90-x[/tex]
We have
Two complementary angles are in the ratio [tex]3: 2[/tex]
[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]
Smaller angle is [tex]36^0[/tex]
Option B is the correct answer
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
Which of the following rational functions is graphed below?
Considering the asymptotes, the rational function given below is the following:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the vertical asymptotes are x = 0 and x = -2, hence the denominator is given by:
x(x + 2).
The function has no x-intercepts, hence the numerator is of 1. So the function is given by:
B. [tex]f(x) = \frac{1}{x(x + 2)}[/tex]
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Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
3(4 x 6)= (3 x 4) 6 is an example of the __________ property. A.commutative B.associative C. distributive D.inverse
the answer is assocative
[tex] \huge \bf༆ Answer ༄[/tex]
The property shown in the given question is an example of B. Associative property
[tex] \sf3(4 \times 6) = (3 \times 4)6[/tex]Rewrite this equation below into standard form
y=−3−7x
What is 22% of 60?
A) 1,320
B) 13.2
C) 27.3
D) 38
Answer:
B, 13.2
Step-by-step explanation:
Multiply 60 by 0.22 for your answer and you get 13.2
what is the expressions of ײ-3y when x = -5 and y=(2-)
[tex]\huge \bf༆ Answer ༄[/tex]
Plug the values of x and y in the given expression ~
[tex] \sf {x}^{2} - 3y[/tex][tex] \sf( - 5) {}^{2} - (3 \times 2)[/tex][tex] \sf25 - 6[/tex][tex] \sf19[/tex]The equivalent value is 19
Ricardo is creating a budget for himself to set goals on how much money he wants to save. At his current job, he makes $300 per week, and spends $40 each week on his expenses. If he wants to save a total of at least $2,600, how many weeks at minimum does he have to work for in order to reach his goal?
Answer:
10 Weeks
Step-by-step explanation:
If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260..... 260x10=1200 So he would have to work 10 weeks at a minimum.
The number of weeks at minimum does he have to work for in order to reach his goal is 10 weeks.
What is unitary method?The unitary method is used to find the value of a single unit from a given multiple.
For example, the price of 40 pens is Rs. 400
It should be noted that the concept of ratio and proportion is used for problems related to this method.
According to questions,
He makes $300 per week
and spends $40 each week on his expenses.
Therefore his total savings per week = $300 - $40
= $260.
Also he wants to save a total of at least $2,600.
Thus number of weeks at minimum does he have to work for in order to reach his goal = $2600 ÷ $260
= 10 weeks.
Hence the required number of weeks = 10 weeks.
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In this task, you will use the linear data from Task 1 to compare the linear functions.
Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time
Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.
Part C. Olivia's puppy weighed the most. It weighed 5 pounds.
Part D. Camille's puppy only gained 1/2 a pound each week.
Step-by-step explanation:
A recipe that serves 6 people calls for 1 1/2 cups of sugar. Suppose you have 9 cups of sugar. Do you have enough to make the recipe for 40 people?
which angles are correspoding angles
Answer:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
all objects with mass have momentum. true or false
Answer:
False
Step-by-step explanation:
Even though I said that, an object that moves with a velocity has momentum but on the other way around as far the object is at rest the object will have a momentum of zero a.k.a no momentum.
how many drinks are contained in a 60 ounce pitcher
Answer:
fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.
Step-by-step explanation:
Solve 2x2 + 20x + 8 = 0 by completing the square.
a. x = –5 + √17, x = –5 √–17
b. x = –5 + √21, x = –5 –√21
c. x = 5 + √21, x = 5 –√21
d. x = 5 + √17, x = 5 –√17
Answer:
Answer B:
Step-by-step explanation:
just took the test)))):
the answer: B
ok done. Thank to me :>
5/8 ,2/12 ,8/10 least to greatest
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
hi guys can y’all help me with this problem? i’m stuck :p
i don’t know what i’m doing lol