Step-by-step explanation:
sec330°
= 1 / cos330°
= 1 / cos30°
= 1 / (√3/2)
= 2/√3.
Answer:
[tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity
secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sec330°
= [tex]\frac{1}{cos330}[/tex]
= [tex]\frac{1}{cos(360-330)}[/tex]
= [tex]\frac{1}{cos30}[/tex]
= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{2\sqrt{3} }{3}[/tex]
Ethan Planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown?
A. 1.85x= 5.30
B. 1.85+ x= 5.30
C. 1.85+ 5.30= x
D. 1.85 (5.30)= x
Answer:
x = B the answer is b
Step-by-step explanation:
What is the hcf of 105 and 14?
Answer:
hcf of 105 ans 14 is 7
Step-by-step explanation:
please mark me as BRAINLIEST
Answer:
The gcf is 7
step-by-step
mark me brainliest plz
Helpppp meeeeeeeeeee
Write a function rule.
y is 9 less than the product of 8 and x.
Answer:
dumyemimynumifgmfdhum
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Before you begin, decide with your partner who will work with Seth's information and who will work with Karen's information.
Working with the Equations
Work Separately
Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Comparing Students
Work Together
Each partner now has an equation, function, and graph that represent the combinations of activities resulting in the income needed for each student. Compare these items and answer the following questions:
Which student, Seth or Karen, has the higher slope when the graphs of their earnings are compared? How can you tell?
Whose graph, Seth's or Karen's, has a greater y-intercept? What does that mean for this person?
If both students work 80 hours for the month, is the number of lawns Seth has to mow greater than or less than the number of dogs Karen has to walk? Justify your answer.
Karen begins charging $8 per hour for babysitting, and Seth begins earning $8 per hour. How does this change affect their graphs if everything else remains the same?
Answer:
Seth:
Equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen:
Equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
Part A: Converting it in function for by solving for y first.
Solving 7.50x + 15y = 750, equation we get
7.50x + 15y = 750
15y = -7.50x + 750
y = -1/2x + 50
Solving 6x + 4y = 700 for y, we get
6x + 4y = 700
4y = -6x + 700
y= -3/2x + 175.
On comaring with slope-intercept form y=mx+b, we got slope for Seth equation is -1/2 and slope for Karen is -3/2.
If we take absolute of those -1/2 and -3/2 we get 1/2 and 3/2.
Therefore, Karen has the higher slope. We can see the graph that blue line has greater slope as it's increasing/decreasing with greater rate.
In function form we could write equation as
f(x) = -1/2x + 50 and
f(x) = -3/2x + 175.
Part B : y-intercept of Karen equation is 175 and y-intercept of Seth equation is 50.
Therefore, Karen has greater y-intercept.
This means Karen earns $175 by just walking dogs.
Part C: If both students work 80 hours for the month.
Let us plug x =80 in each of the equations.
y = -1/2x + 50 => y = -1/2(80) + 50 = -40 +50 = $10.
Seth would earn $10 from mowing lawn.
Therefore, the number of lawns Seth has to mow = 10/15 = 0.67 that is approximately 1 lawn.
y = -3/2x + 175 => y = -3/2(80) + 175 = -120 +175 = $55.
Karen would earn $50 from walking dog.
So, the number of dogs Karne has to walk = 55/4 = 13.75 that ia approximately 14 dogs.
Therefore, the number of lawns Seth has to mow is less than the number of dogs Karen has to walk.
Part D: If Karen begins charging $8 per hour for babysitting and Seth begins earning $8 per hour.
The equations would become : 8x + 15y = 750, 8x + 4y = 700.
It would not effect the graph much. Even the y-intercepts would remain same.
There would be a slightly change in slopes.
Step-by-step explanation:
Answer:
If you see this give him brainliest
Step-by-step explanation:
An aquarium is in the shape of a rectangular prisim. The area of the base of the aquarium is 250 square inches. Which is the volume of the aquarium?
Answer: 25
Step-by-step explanation: take the square inches and put it to the side... then multiply how many sides to the number of square inches and you got 25
Rebecca is researching cruises in order to plan a vacation She records the length and total cost of different cruises in a table
Answer:
is there anymore to this problem
A truck moves 3 km in 30 min and and returns at same distance in 20 min find average speed
Answer:
Step-by-step explanation:
the truck mover 3 km one way, 3 km back, so he moves 6 km
one way the truck needs 30 min, on the way back 20 min
so we have 6 km in 50 min
v=distance/time
v one way=3km/30 min=0.1 km/min
v on the way back=3 km/20min=0.15 km/min
v average =0.1+0.15=0.125 km/min
or 7.5 km/hour
Find the measure of angle 4.
m∠4= ?
Answer:
38°
Step-by-step explanation:
[tex]m\angle 4 = 180° - [62\degree + (62\degree + 18\degree)] \\\\
m\angle 4 = 180\degree - [62\degree + 80\degree] \\\\
m\angle 4 = 180\degree -142\degree \\\\
m\angle 4 = 38\degree \\\\
[/tex]
Please explain how to do this!!!!!
Answer:
The answer is D: y - 3 = -1/7 (x+3)
Step-by-step explanation:
Can someone help me solve this for brainliest and a heart? Thank you!
A. 2x+5=23
B. x+2+5=23
C. x+x+5=23
D. 5x+2=23
Answer:
b
Step-by-step explanation:
lucky guess
Answer:
your answer is A
Step-by-step explanation:
if you look at the amount of "x's " you have , you put them together and you will get 2x and you add 5 and your answer 23...
hopefully i was helpful
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x
9514 1404 393
Answer:
(a) f(x) = 85(1 – 0.25)^x
Step-by-step explanation:
The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.
Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x
The value is the initial value times this multiplier:
f(x) = 85(1 -0.25)^x . . . . matches the first choice
The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.
After the second owner, it will be 75% of 75% (or 56.25%) of the original value.
Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.
Using this information, we can write the function f(x) as:
f(x) = 85 (0.75)ˣ
f(x) = 85(1 - 0.25)ˣ
where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.
Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.
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What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8
Answer:
[tex]y = x +7[/tex]
Step-by-step explanation:
Given
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
Perpendicular to [tex]y = -x + 14[/tex]
Required
Determine the line equation
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison with [tex]y = -x + 14[/tex]
[tex]m = -1[/tex]
Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists
[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]m_1 = \frac{-1}{-1}[/tex]
[tex]m_1 = 1[/tex]
The line equation is then calculated using:
[tex]y - y_1 = m_1(x - x_1)[/tex]
Where
[tex]m_1 = 1[/tex]
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]y - 11 = 1(x - 4)[/tex]
[tex]y - 11 = x - 4[/tex]
Add 11 to both sides
[tex]y - 11+11 = x - 4+11[/tex]
[tex]y = x - 4+11[/tex]
[tex]y = x +7[/tex]
The B, C and D parts of your question are not clear.
Apply the same steps used in (a) above and you'll get your answers
holly has $10.00. she saw a purse in a catalog that was marked $14.95 plus 5 sales tax
Answer:Molly won't be able to pay for the purse because $14.95 plus 5 is $19.95 and Molly only has $10.00 so she won't be able to buy the purse.
Step-by-step explanation:
Answer: A. $5.70
Step-by-step explanation:
Refer to the table to answer the questions.
A 2-column table with 4 rows. Column 1 is labeled Decimal with entries A, B, C, D. Column 2 is labeled Fraction with entries one-half, five-ninths, StartFraction 5 over 90 EndFraction, StartFraction 11 over 20 EndFraction.
Which letter should be replaced with the repeating decimal 0.5?
A
B
C
D
Answer:
d
Step-by-step explanation:
d should be kept with it
Answer:
The correct answer is the letter D. :)
Step-by-step explanation:
Please I beg you help me I will mark you brainliest
Answer:
Best answer would be D
Step-by-step explanation:
For A, the statement is only true with x as 1
For B, other values for x can make the equation wrong
And for C, it's just wrong.
Can someone help me really quick!?
Answer:
Yes its 2nd, 4th, and 5th
Step-by-step explanation:
find the slope of each line
5. y= -2x+5. 6. 3x+6y=12
Answer:
5. Slope = -2x
(Full system: y = -2x + 5)
6. Slope = -1/2x
(Full system: y = -1/2 +6)
Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit
Answer: 40320
Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.
The number of ways for the children sit will be 40,320.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eight children sit together at story time.
And, Seven children sit in a circle and one child sits in the middle to tell the story.
Now,
Since, There are 8 students.
Hence, The number of ways for the children sit = 8!
= 40,320
Learn more about the mathematical expression visit:
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Who is my Bestfriend
1). Oooga Booga
2). Oliva
3). Lilly
4.) Ashley
5). Doydoy TAMAIR
GET IT RIGHT OR POINTS OR BRAINLIEST!!!!!!
Answer:
5) DOY DOY TAMAIR
Step-by-step explanation:
IM TAMAIR YESSS
Answer:
Ooga booga
Step-by-step explanation:
Bc the name sounds cool.
He comprado 10 rotuladores que me han costado 8 euros cuento costara cada rotulador
Answer:
0,8 euros
Step-by-step explanation:
Según la pregunta, 10 rotuladores cuestan ocho euros.
Ahora si
10 rotuladores cuestan 8 euros
1 marcador cuesta 1/10* 8 = 0,8 euros
Por tanto, cada marcador me costó 0,8 euros
Ana Sofia performed a transformation on APQR. She
recorded her transformation and the location of Q' in the
table. Point Q of APQR is located at (-2,3). Complete the
table to determine the values of a and b that make the
algebraic descriptions of her transformation true.
Answer:
a= 6 b=4
Step-by-step explanation:
-2+6=4
3+4+7
Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))
f−1(x)=____x+____=____
7 miles on 1/3 gallon of gas =
miles per gallon
Answer:
21 Miles per gallon
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
7*3
9 oranges cost $3.60. How much are 4 oranges?
Answer:
$1.60
Step-by-step explanation:
Set up an equation where you have the total oranges (o) on top and the cost (c) on the bottom. So you will have two fractions equaling each other. So you will have o/c=o/c. Now you just have to replace the variables with what you know. 9 oranges= $3.60, and you want to know how much 4 oranges cost. Since the cost per orange is the same, no matter how many oranges you buy if you divide the amount of oranges by the price you will always get the same number. So replace the variables with the numbers you know and you get,
9/$3.60=4/c
Now to solve an equal fraction problem, simply cross multiply (multiply the two numbers diagonal so 4 and 3.6), and divide (take the multiplied number and divide by the number remaining which will be the number diagonal from the variable) which gives you $1.60 for four oranges.
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
Answer:
200-178=22
22/200*100=2200/200
2200/200=11
11%
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
[tex](x+3)^2+y^2=9[/tex]
To find:
The polar form of given circle.
Solution:
We have,
[tex](x+3)^2+y^2=9[/tex]
[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex](x^2+y^2)+6x+9=9[/tex]
Subtracting 9 from both sides, we get
[tex](x^2+y^2)+6x=0[/tex]
We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].
[tex]r^2+6(r\cos \theta)=0[/tex]
[tex]r(r+6\cos \theta)=0[/tex]
[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]
We know that, r is radius it cannot be 0. So,
[tex]r+6\cos \theta=0[/tex]
[tex]r=-6\cos \theta[/tex]
Therefore, the correct option is A.
Given that sin(x) find cos (90 - x). A. 4/11 B.7/11 C. 11/7 D. 11/4. Please select the best answer from the choices provided.given that sin with x in (equals 7/11 find COS with 90 - x in) a is 4/11 B is 7/11 C
Answer:
7/11
Step-by-step explanation:
sin(Ф)=cos(90-Ф)
∴cos(90-x) = 7/11
Can someone help please I’ll give brainliest!
Answer: F.
Step-by-step explanation:
First we have to determine the common factor for all of them, which in this case is 11.75. Then we have to multiply that by 40 which gives us 470.