Answer:
0.971
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
Hence the expression (cos(arctan√3/7)) is equivalent to 0.971
Answer:
y = 0.971.
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
find the value. 2x-5 when x=5/2
Answer:
0Step-by-step explanation:
Given,
x = [tex] \frac{5}{2} [/tex]
Now, let's find the value of 2x - 5
[tex]2x - 5[/tex]
plug the value of x
[tex] = 2 \times \frac{5}{2} - 5[/tex]
Reduce the number with Greatest Common Factor 2
[tex] = 5 - 5[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!
Answer:
0
Step-by-step explanation:
x=5/2
therefore
2(5/2)-5=10/2-5
=5-5(since 10/2=5)
=0
Find the missing side. Round your answer to the nearest tenth.
Answer:
5.4Step-by-step explanation:
ABC is a right angle triangle.
Therefore,
[tex]cos \: (75) = \frac{ab}{ac} [/tex]
Plug the values
[tex]cos \: (75) = \frac{x}{21} [/tex]
Apply cross product property
[tex]x = 21 \times cos(75)[/tex]
Calculate
[tex]x = 5.435[/tex]
After rounding to the nearest tenth, the answer will be:
[tex]x = 5.4[/tex]
Hope this helps...
Best regards!!
Can help me pleaseee I need help
Answer:
B since the correlation between the numbers in x raise at a higher rate than any other chart
I'll mark you brainlyist, if I know how to do it, if you help me out real quick thx
Answer:
4 in
Step-by-step explanation:
as you see from the first rectangle it has been reduced 3 times of length
so the breadth also should be reduced 3 times
Answer:
x = 4
Step-by-step explanation:
the simplest way to do that is to divide
12 / 18 = 2 / 3
then we move to the another square:
x / 6 = 2 / 3
x = 6 x 2 / 3
x = 4
.. ..
PLEASE ANSWER THIS ASPA Which of the following choices is equivalent to -6x > -42? x > 7 x -7 x < -7
Answer:
x < 7
Step-by-step explanation:
-6x > -42
Divide each side by -6, remembering to flip the inequality
-6x/-6 < -42/-6
x < 7
Answer:
[tex]\boxed{x<7}[/tex]
Step-by-step explanation:
[tex]-6x > -42[/tex]
Divide both sides by -6 (flip sign).
[tex]\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}[/tex]
[tex]x<7[/tex]
This is hard for me, can someone please help? Loren solved the equation 10 = StartFraction 19 Over 9 EndFraction (149) + b for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). What error did Loren make? She should have solved 10 = StartFraction 9 Over 19 EndFraction (149) + b for b. She should have solved 1 = StartFraction 19 Over 9 EndFraction (130) + b for b. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b. She should have solved 130 = StartFraction 9 Over 19 EndFraction (1) + b for b.
Answer:
149=19/9 (10) +b
130=19/9(1)+b
Step-by-step explanation:
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
for Loren to find a line passes through two points:(1,130), (10.149)
1) find slope: m=y2-y1/x2-x1 =149-130/10-1=19/9
m=19/9
to find b in the equation y=mx+b for point (1,130)
y=130, x=1, m=19/9
130=19/9(1)+b
for point (10,149)
149=19/9 (10) +b
you have two options
Hence, The solution is, the equations of line passes through two points:(1,130), (10.149) is:
149=19/9 (10) +b
130=19/9(1)+b
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
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What is total number of elements in 3 trials of rolling a 6-sided die?
Answer:
216 elements
Step-by-step explanation:
the total number of elements of a dice is :
6^n
6 stand for the 6 faces of the dice
n stands for the number trial
then total number of elements in 3 trials of rolling a 6-sided die is 6^3=216 elements
can u help me spot the sequence
Answer:
Hey mate... I don't know the first three... But mayb I can help u in last one.
Step-by-step explanation:
The answer is : 2: 6: 18: 54: 162: 426
I can see the pattern by multiplying.. As from 3
2x3=6 :6x3=18 :18x3= 54 :54x3=162 :162x3=426
So I guess this is the ans
Hope it helped u!
Point K is rotated 90°. The coordinate of the pre-image point K was (2, –6) and its image K’ is at the coordinate (−6, −2). Find the direction of the rotation. The direction of rotation was .
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
The answer would be clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
THE DIRECTION OF THE ROTATION WAS CLOCKWISE.
Hope this helps! :)
⭐️Have a wonderful day!⭐️
Answer:
clockwise.
So point k was rotated 90 degrees clockwise.....
Review.....
Question:
Point K is rotated 90 degrees. The coordinate of the pre-image point K was (2,-6) and it’s image K’ is at the coordinate (-6,-2).Find the direction of the rotation.
Step-by-step explanation:
Sales of a popular toy were about 20 million in 2000 and growing about 5% each year. At this growth rate, the function f(x) = 20(1.05)^x gives the annual number of toys sold in million in the xth year after 2000. Using this model, in about what year will the annual sales surpass 37 million?
===========================
Work Shown:
Plug in f(x) = 37. Solve for x. Use logarithms.
f(x) = 20(1.05)^x
37 = 20(1.05)^x
20(1.05)^x = 37
1.05^x = 37/20
1.05^x = 1.85
log( 1.05^x ) = log( 1.85 )
x*log( 1.05 ) = log( 1.85 )
x = log( 1.85 )/log( 1.05 )
x = 12.6088044498867
Round up to the nearest whole number to get x = 13.
In the year 2013, sales exceed 37 million.
Answer the problem below
Answer:
D. 4z^3
Step-by-step explanation:
First, you see what cubed is 64, which is 4, so you know it is either A or D, but it can not be A because it is not z to the power 5 but x to the power of 3
Hope this helps, if you want me to explain more, feel free to ask questions.
Have a good day! :)
Answer:
4 z^3
Step-by-step explanation:
( 64 z^9) ^ 1/3
Rewriting 64 as 4^3
( 4^3 z^9) ^ 1/3
We know that ( ab) ^c = a^c * b^c
4^3 ^ 1/3 z^9 ^ 1/3
We know that a^ b^c = a^ ( b*c)
4^(3 * 1/3) z^ (9 * 1/3)
4 ^ ( 1) z^ ( 3)
4 z^3
The probability of spinning a 4 on a spinner is 0.125.If you spun 150 times approximately how many times would the spinner land on 4?
Answer:
19
Step-by-step explanation:
To calculate this, all we need to do is 150 * 0.125 ≈ 18.75 which rounds to 19. We round to the nearest integer because you can't land on the 4 18.75 times.
Answer: 19
Step-by-step explanation:
.125 is equal to 1/8, so it will be roughly 1/8 of the 150 times so we can multiply
150(.125)=18.75, which rounded up, or normally becomes 19
Solve the equation using square roots. x2 – 14 = –10
Answer:-12
Step-by-step explanation:
Add 10+14 to get 24 then divide it by a negative 2 to get -12
Answer:
x = ±2
Step-by-step explanation:
x^2 – 14 = –10
Add 14 to each side
x^2 – 14+14 = –10+14
x^2 = 4
Take the square root of each side
sqrt(x^2) = ±sqrt(4)
x = ±2
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
A. Y- 6 = 6(x + 1)
B.y - 5 = 6(x + 7)
C.Y+7= 6(x + 5)
D.y +1 = 6:1-6)
Answer:
D.y + 1 = 6(x - 6)
Step-by-step explanation:
The general form of a straightline equation is given as
y = mx + c
where m is the slope and c is the intercept
m = Δy/Δx
from the given points
m = (-7 - -1)/(5 - 6)
= -6/-1
= 6
Considering the points x₁ and y which are 6 and -1
and using the formular
m = (y - y₁)/(x - x₁)
6 = (y - -1)/(x - 6)
y + 1 = 6(x - 6)
which of the following is equivalent to [ (x^ 2 y^ 3 )^ -2/ (x^ 6 y^ 3 z)^3]? worth 60 points!
Answer:
[tex]\dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Step-by-step explanation:
[tex] (\dfrac{(x^2y^3)^{-2}}{(x^6y^3z)^{2}})^3 = [/tex]
[tex] = (\dfrac{1}{(x^6y^3z)^{2}(x^2y^3)^{2}})^3 [/tex]
[tex] = (\dfrac{1}{x^{12}y^6z^{2}x^4y^6})^3 [/tex]
[tex]= (\dfrac{1}{x^{16}y^{12}z^{2}})^3[/tex]
[tex]= \dfrac{1}{x^{48}y^{36}z^{6}}[/tex]
Answer:
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]
Step-by-step explanation:
[tex]\displaystyle[\frac{(x^2 y^3)^{-2}}{(x^6 y^3 z)^2 } ]^3[/tex]
[tex]\displaystyle \frac{(x^2 y^3)^{-6}}{(x^6 y^3 z)^6 }[/tex]
[tex]\displaystyle \frac{(x^{-12} y^{-18})}{(x^{36} y^{18}z^6 ) }[/tex]
[tex]\displaystyle \frac{x^{-48} y^{-36}}{z^6 }[/tex]
[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]
La trayectoria de cierto satelitese ajusta ala grafica de la funcionf(x) igual6x al cuadradomenos 12donde x representael tiempo en días y f(x9 el recorrido en kilometroscuantos kilómetros habrá recorridoel sateliteal cabo de diez días desde su lanzamiento
Answer:
588 kilómetros
Step-by-step explanation:
La función con la que estamos trabajando según la pregunta es;
F (x) = 6x ^ 2 -12
Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10
Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;
F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588
Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars, so that the oil completely fills the jars and there is no oil left. He also pours the entire contents of container 2 into the same size jars so that there is no oil left. What can the maximum size of the smaller jars be?
Answer:
The maximum size of the smaller jars is 6 liters
Step-by-step explanation:
Container 1=174 liters of oil
Container 2=258 liters of oil
Same pours the entire content of container one and container 2 into the same number of smaller jars
The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258
Factors of 174=1,2,3,6,29
Factors of 258=1,2,3,6,43
Common factors of 174 and 258=1,2,3 and 6
Highest common factor=6
Therefore,
The maximum size of the smaller jars is 6 liters
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
I WILL MARK THE BRAINLIEST! please help me
There are 200 students in 8th grade. There are 3 different elective classes. All 8th grade students must take at least one elective.
- 35 total students are in drama
- 75 total students are in cooking
- 15 students are in both drama and P.E
-10 Students are in drama and cooking
- 5 students are in P.E and cooking
- 8 students are in all three electives
How many students are in P.E?
How many are ONLY in P.E?
Please answer both questions in two sentences.
Answer:
How many students are in P.E? 90
How many are ONLY in P.E? 62
Step-by-step explanation:
How many students are in P.E?
200 students in 8th grade.
35=drama
75=cooking
200-110=90=PE.
How many are ONLY in P.E?
Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.
90-28=62
Hope this helps!
What percent of 24 is 18? 60 is what percent of 48? Write 1.052 as a percent.
Answer:
24 of 18 is 75%
60 of 48 is 80%
1.052 is 105.2%
Step-by-step explanation:
Using the equation y = 2x + 5, what would the input need to be for an output of -15? A : -25 B : -35 C : -10 D : -5
Answer: C: -10
Step-by-step explanation:
An output is another word for y. If we set y to -15, we can solve for x, or the input variable.
[tex]-15=2x+5[/tex]
Subtract 5 from both sides of the equation.
[tex]-20=2x\\[/tex]
Divide both sides of the equation by 2.
[tex]-10=x[/tex]
Therefore, x = -10.
Hope this helps!
Answer:
the answer is -25
Step-by-step explanation:
y = 2x + 5
y = 2x(-15) + 5
2 times -15 = -30
-30 + 5 = -25
Hope this helps! :)
Factor the equation.
X2-15x+50=0
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Well to factor X^2-15x+50
we need to find 2 numbers that multiply to get 50 and add to get -15.
-5 * -10 = 50
-5 + -10
x*x = x^2
Factored (x - 10)(x - 5)
Hope this helps :)
Answer:
(x - 10)(x - 5)
Step-by-step explanation:
Step 1- Find 2 numbers that multiply to be 50.
10 × 5
-10 × -5
25 × 2
-25 × -2
All these multiply to get 50.
But the numbers must also add up to be -15.
Step 2- Find the 2 numbers that also add up to be -15.
10 + 5 = 15
-10 + -5 = -15
25 + 2 = 27
-25 + -2 = -27
The correct equation would be - 10 + -5
The 2 number you would use when you factor would be -10 and -5
Step 3- Write the equation
You can write the equation as (x - 10)(x - 5)
Or you can also write it as (x - 5)(x - 10)
ax = bx + 1. How is the value of x related to the difference of a and b?
Answer:
x = 1/(a-b)
Step-by-step explanation:
The given equation is ax = bx + 1
Collecting like terms:
ax - bx = 1
Factorizing x out of the equation:
x(a - b) = 1
Dividing both sides by (a - b):
[tex]\frac{x(a - b)}{(a - b)} = \frac{1}{a - b} \\x = \frac{1}{a - b}[/tex]
Therefore, x is related to the difference of a and be by the equation
x = 1/(a-b) where a - b is the difference of a and b
Answer:
x = 1/(a-b)
Step-by-step explanation:
What is the diameter of the circle whose center is at (6, 0) and that passes through the point (2, -3)?
Answer:
10
Step-by-step explanation:
[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^2[/tex]
[tex]\left(x-6\right)^{2}+\left(y-0\right)^{2}=r^2\\[/tex]
We used (2,-3)
[tex]\left(2-6\right)^{2}+\left(-3-0\right)^{2}=25[/tex]
[tex]r^2=25\\[/tex] , so [tex]r = 5[/tex]
But this one is asking for the diameter, and to find it. It's simply 2r.
2*5 = 10
A block measure 22 cm by 11 cm by 7 cm.
How many of these blocks will be needed to
build a wall 5 1/2m long, 22 cm thick and 3 1/2
m high?
Answer: 2,500 blocks
Step-by-step explanation:
Hi, to answer this question we have to calculate both volumes:
Volume of a rectangular prism= length x width x height
Volume of the block = 22 x 11 x 7 = 1,694 cm3
Before calculating the volume of the wall, we have to convert the measures in m to cm:
Since:
1m = 100 cm
5 1/2 m x 100 = 550 cm (length)
3 1/2 m x 100 =350 cm (height)
Volume of the wall = 550 x 22 x 350= 4,235,000 cm3
Finally:
Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.
Feel free to ask for more if needed or if you did not understand something.
In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-*x+9
y=-*x+5
y=-3x – 1ly
y=-3x + 25
Answer:
y = -3x - 11
Step-by-step explanation:
(y - y1)/(x - x1) = (x2 - x1)/(y2 - y1)
(y - 7)/(x + 6) = (-3 + 6)/(6 - 7)
(y - 7)/(x + 6) = 3/-1 = -3
y - 7 = -3(x + 6)
y - 7 = -3x - 18
y = -3x -18 - 7
y = -3x - 11
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the shelter has 165 animals.
If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
A.
x < 25
B.
x < 27
C.
x < 33
D.
x < 35
Answer:
B. x<27
Step-by-step explanation:
300-165=135
135/5=27
Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals. The shelter must keep its total occupancy below 300. The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be 165+5x animals. This number must be less than 300
165+5x<3005x<300-1655x<135< 27X<27
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles. HINT [See Example 7.] How many sets of four marbles include one of each color other than lavender?
Answer: 120
Step-by-step explanation:
Given: A bag contains two red marbles, two green ones, one lavender one, five yellows, and six orange marbles.
The total number of marbles in the bag : 2+2+1+5+6=16
Now, the number of ways of selecting sets of four marbles include one of each color other than lavender is
[tex]\( C(2,1) \times C(2,1) \times C(5,1) \times C(6,1)=2 \times 2 \times 5 \times 6\)=120[/tex] [[tex]\because\ C(n,1)=n[/tex]]
Hence, the number of sets of four marbles include one of each color other than lavender = 120