Answer:
-0.04
Step-by-step explanation:
tan([tex]\frac{5}{7}[/tex] - π) = -0.04
Given:
[tex]\text{tan}(t)=\frac{5}{7}[/tex]
To find:
Value of [tex]\text{tan}(t-\pi )[/tex]
Solution:
To solve the given expression we will use the identity,
[tex]\text{tan}(A-B)=\frac{\text{tan}A-\text{tan}B}{1+\text{tan}A\text{tan}B}[/tex]
Now substitute the values,
[tex]A=t[/tex]
[tex]B=\pi[/tex]
[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-\text{tan}\pi }{1+\text{tan}t\text{tan}\pi }[/tex]
Since, the value of [tex]\text{tan}(\pi )[/tex] is [tex]0[/tex].
[tex]\text{tan}(t-\pi)=\frac{\text{tan}t-0}{1+\text{tan}t\times (0)}[/tex]
[tex]=\frac{\text{tan}t}{1}[/tex]
[tex]=\text{tan}t[/tex]
Therefore, [tex]\text{tan}(t-\pi)=\frac{5}{7}[/tex] will be the answer.
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The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
Solve for x: 3(x + 1) = -2 (x-1) - 4
Answer: x = -1
Remove parentheses
Calculate
Move the terms
collect like terms, calculate.
divide both sides.
Answer: x = -1
3(x + 1) = -2(x-1) - 4 (Expand by distributing)
3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)
3x + 2x = 2 - 4 - 3 (Collect like terms)
5x = -5 (Divide both sides by 5 to isolate for x)
x = -1
∴ x = -1.
A fair die is rolled three times. A 4 considered success while all other outcomes are failures. Find the probability of each number of successes.
Answer:
Probability of success = 1/6.
Step-by-step explanation:
A die has 6 sides, all different assuming the die is fair. If a 4 is the ONLY successful outcome, the probability of a successful outcome is 1/6, and the probability of a failed outcome is 5/6, because 5 of the 6 sides are not the number 4.
what is the lcm of 16 and 24
Answer:
48
Step-by-step explanation:
helllllpppppp pleasxee huryyyyy
Answer:
Bottom left
Step-by-step explanation:
Function: each x only has one y, and this is the only graph that fits the description
What number is represented by a point 6 units to the left of 5 on the number ling
shown
Answer:
-1
Step-by-step explanation:
5-6=-1
plz help, find missing angle.
Answer:
I don't know the answer because the picture says it's blocked I'm so sorry
Step-by-step explanation:
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
y=1.003009+0.003453x
or
GPA=1.003009+0.003453(SAT Score)
Step-by-step explanation:
The least square regression equation can be written as
y=a+bx
In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.
SAT score (X) GPA (Y) X² XY
421 2.93 177241 1233.53
375 2.87 140625 1076.25
585 3.03 342225 1772.55
693 3.42 480249 2370.06
608 3.66 369664 2225.28
392 2.91 153664 1140.72
418 2.12 174724 886.16
484 2.5 234256 1210
725 3.24 525625 2349
506 1.97 256036 996.82
613 2.73 375769 1673.49
706 3.88 498436 2739.28
366 1.58 133956 578.28
sumx=6892
sumy=36.84
sumx²=3862470
sumxy=20251.42
n=13
[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]
b=9367.18/2712446
b=0.003453
a=ybar-b(xbar)
ybar=sum(y)/n
ybar=2.833846
xbar=sum(x)/n
xbar=530.1538
a=2.833846-0.003453*(530.1538)
a=1.003009
Thus, required regression equation is
y=1.003009+0.003453x.
The least-squares regression equation that shows the best relationship between GPA and the SAT score is
GPA=1.003009+0.003453(SAT Score)
What 2+2.... I need help lololololol.olo
Answer:
4
Step-by-step explanation:
2+2 is 4
Neeed help like NEOW
Answer:
_17 or -10 i think its -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Ha
3х + 2y = 2
y = 4
Substitution
Answer:
x=-2
Step-by-step explanation:
hi! let's plug in 4 for y in the equation.
3x+2(4)=2
3x+8=2
3x=-6
x=-2
Answer:
x= -2
Step-by-step explanation:
you are going to substitute 4 in for y and then solve for x.
CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
19
Constructed Responses
..
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
...
A. How much does Curtis charge to deliver the food?
Answer:
I'm Pretty Sure it is $16.20
Step-by-step explanation:
First, you add 2.50 + 0.20 and you get 2.70. Then, you get 2.70 x 6 miles and you get 16.20. Hope this helps! :)
What’s the ratio 217:279 simplified
Answer:
666:999
Step-by-step explanation:
olyiuuuyyiuuuuuu
Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase.
How often will a bag contain both a T-shirt and socks?
T shirt: Every fourth bag
Socks: Every third bag
Answer: Every 12th bag has both a T-shirt and socks.
Step-by-step explanation:
Given: T shirt: Every fourth bag
Socks: Every third bag
Least common multiple of 4 and 3 = 12 as 4 and 3 are coprime (i.e. their highest common factor is 1) and 4 x 3 = 12
It implies every 12th bag has both a T-shirt and socks.
Hence, Every twelfth bag has both a T-shirt and socks.
(4x+45)
(5x-18)
Solve for x.
Answer:
Is there a certain equation?
Because my answer will probably be wrong.
Answer: x = 63Step-by-step explanation:
Let’s just say that x in both cases is the same value.
Equation:
(4x + 45) = (5x - 18)
x = 63
Answer: x = 63
Step-by-step explanation:
John wants to buy a laptop that costs $1400. He already saved $800 and makes $25 a week mowing lawns. Write and solve an equation to find the number of weeks, w, he must work until he has enough money to purchase the computer.
Answer: 800 - 25w = 1400
Step-by-step explanation:
What is there to edplain??
Answer:
800+25w=1400
Step-by-step explanation:
took the test
Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.
l = 2000 rt
After 2 years, the total amount in the account was $2160. What was the annual interest rate?
Answer:
4%
Step-by-step explanation:
Answer:
4% hope this helps
Step-by-step explanation:
pleas yall help ill give you brainiest if you help
Answer:
C) $3557.75
Step-by-step explanation:
First...
Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).
(53500*13.3*0.5)/100
Next...
Mutiply
355775/100
Finally...
Divide
355775/100 = 3557.75
So the answer is...
$3557.75
A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
The amount of water in the two tanks will be the same in ________ weeks.
Answer:
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
Step-by-step explanation:
PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE
Answer:
18 hours. For 1 hour you packed 10 boxes.
Step-by-step explanation:
A bakery offers a sale of 3.50 for 6 muffins what’s is the price per dozen
In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
Write the equation in slope intercept form: 3x - 4y = 8*
Answer:
the answer is y=[tex]\frac{3}{4}[/tex]x-2
Step-by-step explanation:
The equation 3x - 4y = 8 written in slope-intercept form as y = (3/4)x - 2.
To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, to isolate y on one side of the equation.
Starting with the given equation:
3x - 4y = 8
First, let's subtract 3x from both sides of the equation to isolate the y term:
-4y = -3x + 8
Next, divide both sides of the equation by -4 to solve for y:
y = (3/4)x - 2
Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.
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Solve The equation mx + 3b = 25 for x *
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
Answer:
5-3+12=7
Step-by-step explanation:
Solve for X.
3(x + 2) = 7x + 6 - 4x
Answer:
(-∞,∞)
any value makes the equation true
(its infinite)
Step-by-step explanation:
3(x + 2) = 7x + 6 - 4x
distribute
3x + 6 = 7x + 6 - 4x
combine like terms
3x + 6 = 3x + 6
move the variable to the other side
0 + 6 = 6
move the 6
0 = 0
Select the correct answer.
Find the inverse of function f.
f(x) = 1/2x + 7
Answer:
f'(x)= 2x - 14
Step-by-step explanation:
change f(x) to y y = 1/2x + 7
switch x and y x = 1/2y + 7
multiply everything by 2 to cancel the denominator 2x = y + 14
solve for y 2x - 14 = y
then change y to f'(x) f'(x) = 2x - 14
Answer:
B -- f'(x)= 2x - 14
Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True
Answer: Always true
Step-by-step explanation:
Whole numbers including 0 are always integers
i am confuse on this. I tried to figure it out. but I couldn't please help
Answer:
A and B?
Step-by-step explanation:
Correct me if im wrong plz
Answer:
A and B
If i am wrong correct me please