Answer:
I will try to help, let me know
Step-by-step explanation:
Use a cofunction identity to rewrite cos(120° − (30° + a)).
Answer:
sina
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , then
cos(120 - (30 + a) )
= cos(120 - 30 - a)
= cos(90 - a)
= sina
An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given cosine expression can be rewritten as,
cos(120° − (30° + a))
Opening the bracket, to simplify the angle,
= cos(120° − 30° − a)
= cos(90° − a)
Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,
= sin a
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Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
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The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.
Answer:
4+12+20=j
3+9+15=m
j(answer) + m(answer)
Step-by-step explanation:
simpfly by dividing [-5/8] divided by [-3/4]
Answer:
-5/-6
Step-by-step explanation:
you just need to flip the second one around and multiply across afterwards
. A car travels 605 miles in 11 hours. What is the average number of miles traveled per hour?
Answer:
55 miles per hour
Step-by-step explanation: You divide by the speed
605 miles/ (55 miles per hour)= 11 hours
hope this helped
2. Choose 3 integers less than or equal to 8?
a). x = 8,9,10
b). x =-3,0,10
c), x = 0,1,8
d) x = 2,3,9
Answer:
c
Step-by-step explanation:
because 8 is equal to 8. 0 and 1 are less than 8.
In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F
Answer:
-5f is lower than summer 98°f
Step-by-step explanation:
n the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
whole numbers are _____ Intergers
Answer:
I believe the answer is positive
Step-by-step explanation:
There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
Answer:
b = 0
Step-by-step explanation:
Subtract 6 from both sides:
4b = 2 - b - 2
Subtract 2 from two, and get 0.
4b = -b
this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.
find the mean of the given data 8,7,5,9,6,13
The mean of the data is 8.
Mean :Given data are,
[tex]8,7,5,9,6,13[/tex]
Mean is computed as divide the sum of all data by total number of data.
Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]
Number of data[tex]=6[/tex]
[tex]Mean=\frac{48}{6}=8[/tex]
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In a small library , there are 5 nonfiction books for every 9 fiction books There are 130 a . How many fiction books are there ?
Answer: 234
Step-by-step explanation:
If there are 130 nonfiction books, then there are 234 fiction books
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)
Answer:
The value is [tex]E =19.6 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of Jo cows is [tex]\= x_1 = 1350[/tex]
The standard deviation of Jo cow is [tex]s_1 = 50[/tex]
The mean of Val cows is [tex]\= x_2 = 1420 [/tex]
The standard deviation of Val cows is [tex]s_2 = 50[/tex]
The sample size for both Val and Jo is n = 25
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Hence margin of error for Jo is
=> [tex]E = 1.96 * \frac{50}{\sqrt{25} }[/tex]
=> [tex]E =19.6 [/tex]
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
If a chicken has 4kg of corn, how many days will it last it if it eats 1/8 of a kg of corn a day.
I need full working
Answer:
32 days
Step-by-step explanation:
Can someone help me with number 12 ASAP please
Answer:
[tex]x > 1[/tex]
x is greater than 1
On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?
URGENT!
Answer: 90 U.S. dollars
If 60 U.S. dollars represwnt 50 euros, we will add.
80 euros represent 90 dollars because: there are 10 more euros than dollars.
Hope this helps!
Answer: 90
50:60 = 5:6
80:90 = +10
A hamburger and 2 drinks cost $6.00; 2 hamburgers and 2 drinks cost $9.60.
How much does 1 drink cost?
$1.20
explanation:
h + 2d = 6
2h + 2d = 9.60
-2h - 4d = -12
2h + 2d = 9.60
- 2d = - 2.4
d = $1.20
The cost of 1 drink is required.
The cost of 1 drink is $1.20.
Let cost of 1 hamburger be [tex]x[/tex]
cost of 1 drink be [tex]y[/tex]
The equations will be
[tex]x+2y=6[/tex] [tex]\times2[/tex]
[tex]2x+2y=9.6[/tex]
[tex]2x+4y=12[/tex]
[tex]2x+2y=9.6[/tex]
Subtracting the equations
[tex]2y=2.4\\\Rightarrow y=\dfrac{2.4}{2}\\\Rightarrow y=1.2[/tex]
The cost of 1 drink is $1.20.
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Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
solve the equation
v-9 =14
Answer:
the answer for this euqation is 23
Step-by-step explanation:
Answer:
or,v=14-9 ...v=5,so v=5
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
Solve: 3(2x + 4) = 5x - 2
Answer:
= -14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(2x+4)=5x−2
(3)(2x)+(3)(4)=5x+−2(Distribute)
6x+12=5x+−2
6x+12=5x−2
Step 2: Subtract 5x from both sides.
6x+12−5x=5x−2−5x
x+12=−2
Step 3: Subtract 12 from both sides.
x+12−12=−2−12
x=−14
SAT Scores SAT Scores Group 1 Group 2 1520 1510 SAT Scores Group 3 SAT Scores Group 4 1620 1480 1630 1480 1700 1570 1480 2100 1520 1400 1580 1800 1510 1800 1400 1300 1530 1930 1300 1250 1430 2150 1700 1400 2000 1340 1610 1430 1800 1580 1580 1390 1410 1530 1520 1520 1390 1610 The SAT scores of 4 groups of 10 students are shown. Which group has the greatest range? A) Group 1 B) Group 2 Group 3 D) Group 4
Answer:
Group 4
Step-by-step explanation:
Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.
Was this the question or did you make a mistake with the numbers?
Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be
Answer:
2 1/2 per piece
Step-by-step explanation:
What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?
Answer: y+7=-4(x-2)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
it gives you m = -4
(x1,y1) = (-1,-7)
y-(-7) = -4(x-2)
negative of a negative number is positive
y+7=-4(x-2)
you leave that as your answer because thats what point slope for is
its in that form ^
The equation in point slope form for a linear function is [tex]y=4x+15[/tex]
Given the following points:
Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4
To write an equation in point slope form for a linear function:
The standard form of an equation of line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
Where:
x and y are the points. m is the slope.Substituting the given parameters into the formula, we have;
[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]
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At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?
Answer:
r = 18
Step-by-step explanation:
6 + 1.30r = 29.40 [write out the equation]
-6 -6 [subtraction property of equality]
1.30r = 23.40
___ ____ [division property of equality]
1.30 1.30
r = 18
I hope it helps :)
Answer:
6 + 1.30r = 29.40
Step-by-step explanation:
A salt mixture hss 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water?
A) 7 to 1
B) 1 to 7
C) 2 to 7
D) 2 to 8
Answer:a
Step-by-step explanation:
Answer:
C) 2 to 7
Step-by-step explanation:
1 part salt:7 parts water
Add 1 part salt
2 part salt: 7 Parts water
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction
Answer: m> 49/12
Step-by-step explanation:
The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.
The graph is a parabola with the minimum where x= -b/2a = -7/6.
To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.
3(49/36) - 49/6 + m < 0
49/12 - 49/6 + m < 0
(49-98)/12 + m < 0
-49/12 + m < 0
m < 49/12
The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
The equation of the graph:
y = 3x² + 7x + m
If the above quadratic function has two x-intercepts that means:
D > 0
b² - 4ac > 0
On comparing:
a = 3
b = 7
c = m
7² - 4(3)(m) > 0
49 - 12m > 0
12m < 49
m < 49/12
Or
m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts
Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.
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what is x ?
what is y ?
Answer:
x = 100º
y = 100º
Step-by-step explanation:
180º = 80º+y
180º-80º = 80º-80º+y
100º = y
x and y are equal so x is also 100º
List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.
Answer:
The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.
mCHG = mHGB = 48.81°
mDHG = mHGA = 131.19°
The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.
mEHC = mBGF = 131.19°
mEHD = mAGF = 48.81°
Step-by-step explanation:
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