Answer:
y = -3/4x - 5
Slope: -3/4
y-intercept: -5
Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.
Answer:
Step-by-step explanation:
cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Answer:
[tex] \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}[/tex]
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}[/tex]
I need some help on this
Answer: A
Step-by-step explanation: A function means that your x can only have one y but your y can have multiple x's.
Finding the cube roots of REALLY BIG Numbers.
A.∛729
b.∛4096
c.∛74,088
d.∛314,432
e.∛571,787
Answer:
A
Step-by-step explanation:
PLEASE HELP URGENT WILL MARK BRAINLIEST
Solve System by writing the system of Linear equations Jason reached into his pocket and pulled out 13 coins and noticed he only had quarters and dimes. If the value of the coins was $2.65 how many quarters did he have?
Answer:
he had nine quarters and four dimes
-9 + 5 = on a number line
Answer/Step-by-step explanation:
First you would plot -9 on the number line
Then you would go to the right 5 times which would take you to -4 and that would be you answer.
(Sorry I could not find a number line to plot but I hope you get the idea)
Hope this helps :)
8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write
an equation for the line of best fit, then predict the number of students enrolled in 2011.
20022892
2003 3042
2004 | 3087
2005 3136
2006 3296
The equation for the line of best fit shows the relationship between the number of students enrolled
The equation for the line of best fit, then predict the number of students enrolled in 2011 is [tex]y = 90.2x - 177670.2[/tex]
How to determine the equation of the line of best fitTo do this, we make use of a graphing calculator that has the following calculation summary
Sum of X = 10020Sum of Y = 15453Mean X = 2004Mean Y = 3090.6Sum of squares (SSX) = 10Sum of products (SP) = 902b = 90.2a = -177670.2A regression equation is represented as:
[tex]y = bx + a[/tex]
So, we have:
[tex]y = 90.2x - 177670.2[/tex]
Hence, the regression equation is [tex]y = 90.2x - 177670.2[/tex]
Read more about regression equations at:
https://brainly.com/question/26347582
A storage room measures 9 1⁄2 feet by 6 feet by 9 1⁄2 feet. What is the volume of the storage room?
Answer:
C
Step-by-step explanation:
Volume formula: width*length*height
Ok, so let's plug in the numbers.
9.5*6*9.5=Volume
so volume = 541.5
Answer is C
If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?
A)(g−f)(x)=−x2−9x+8
B)(g−f)(x)=−x2−7x+6
C)(g−f)(x)=−8x+8
D)(g−f)(x)=x2+9x−8
What is the simplified version of...
8-2g+4g+3g+6
And
-5g+(-2)+5g+6g+(-g)
Answer:
5g+14 and -2+5g
Step-by-step explanation:
Can someone please check my answer???
(THIS IS WORTH MANY POINTS, AND I’LL GIVE BRAINLIEST)
The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the answers.
9514 1404 393
Answer:
perimeter ratio: 4 : 3area ratio: 16 : 9Step-by-step explanation:
The ratio of perimeters is the ratio of corresponding sides.
first : second = 8 : 6 = 4 : 3 . . . ratio of perimeters
The ratio of areas is the square of the ratio of linear dimensions.
first : second = 4² : 3² = 16 : 9 . . . ratio of areas
Answer:
look at the explanation <33
Step-by-step explanation:
The first figure is similar to the second figure. The ratio would be 4:3
Which of the following describes the vertical shift up or down of a trig. function graph?
a) amplitude
b) midline
c) frequency
d) period
Answer:
Step-by-step explanation:
a) amplitude is the answer
please like if i helped you.
determining slope and y-intercept
Use the following table to answer questions #15 and #16.
Answer:
Slope. -2.5
Y-intercept. 15
Find the value of x. Answer options: 92, 2, 180, 88
Answer:
2
Step-by-step explanation:
please help
the x =
the box-
the T-
Answer:
x²=25
x=25½
x=5
...................
Describe how you would test a sample of food to show it contains protein.
Give the reason for any safety precautions you would take.
PLEASE HELP
Step-by-step explanation:
Iodine test for starch
Method:
Place one spatula of the food sample on a dish or 1 cm3 if the sample is liquid.
Using a dropper, place a few drops of iodine solution onto the food.
Record any change in the colour of the solution.
Starch is detected using iodine solution. This turns blue-black in the presence of starch.
A) josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4, she needs to make 49 litres of punch for a party. how much of each ingredient does she need (in lires) (b) During the party josie decides tio make some more. she has 15 litres of fruit juce left and plenty of lemonade. how much extra punch can she make? (answer in letres)
(c) to make the second batch of punch go further josie adds 4 more lires of lemonade. what is the ratio of fruit juice and lemonade in the second batch? (answer in ratios e.g 5:9) ONLY GIVE ANSWER TO B AND C PLEASE
Answer:
B
Step-by-step explanation:
trrsygg. vbbkkmmk. jk. k
hi help me please
.........
Answer:
A bee hive
Step-by-step explanation:
Bees work in swarms so they must have swarm intelligence in order to work together
Witch one should i pick? please help me.
Answer:
A
Step-by-step explanation:
The rectangle has an area of 30ft^2
Each triangle has an area of 25ft^2
25+25+30=80
please solve!! 4 (x-6) + 10 = 6
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{4(x - 6) + 10 = 6}[/tex]
[tex]\textsf{Distribute}[/tex]
[tex]\textsf{4(x) + 4(-6) + 10 = 6}[/tex]
[tex]\textsf{4x - 24 + 10 = 6}[/tex]
[tex]\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\textsf{(4x) + (-24 + 10) = 6}[/tex]
[tex]\textsf{-24 + 10 = -14}[/tex]
[tex]\textsf{4x - 14 = 6}[/tex]
[tex]\textsf{ADD 14 from BOTH SIDES}[/tex]
[tex]\textsf{4x - 14 + 14 = 6 + 14}[/tex]
[tex]\textsf{CANCEL out: -14 + 14 because that gives you 0}[/tex]
[tex]\textsf{KEEP: 6 + 14 because that helps us solve for x}[/tex]
[tex]\underline{\textsf{6 + 14 = 20}}[/tex]
[tex]\textsf{New equation: 4x = 20}[/tex]
[tex]\textsf{DIVIDE 4 from BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}=\dfrac{20}{4}}[/tex]
[tex]\textsf{CANCEL out}[/tex]: [tex]\mathsf{\dfrac{4}{4}}[/tex] [tex]\textsf{because that gives you 1}[/tex]
[tex]\textsf{KEEP}[/tex]: [tex]\mathsf{\dfrac{20}{4}}[/tex] [tex]\textsf{because that solves and gives you x}[/tex]
[tex]\mathsf{TEMPORARY\ EQUATION: x = \dfrac{20}{4}}[/tex]
[tex]\mathsf{\dfrac{20}{5}=5}\\\\\\\mathsf{20\div4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Combine like terms and write 4y+5y^2-6-5y+27-1y^2 in standard form
Answer:
4y^2 - y + 21
For 15 points, answer this simple question
use the diagram to find the measure of the given angle
Answer:
What is the Diagram?
Step-by-step explanation:
You did not attach it.
$ 900 in a saving account earns 15% interest, compounded annually. What is the balance after 6 years?
I used to do these but I forgot
How many toes do I have?
Answer:
5
Step-by-step explanation:
I did hours of HOURS of work on this. I have to say this was hard.....
Heres the link on how I did it
bit. ly / 3ecQGGN
If Brooke and her friend can bake 24 batches of brownies in 8 hours, and they both work 40 hours in one week, how many batches of brownies can they bake that week? If Brooke still charges $2.00 a batch, how much money will they make that week?
Answer:
Step-by-step explanation:
40hr(24b/8hr)=120b so they make 120 batches
120b($2/b)=$240 so they make $240 together (or $120 each)
(For the given expression, use the Associative Property of Multiplication to enter an equivalent expression.
(ab)c =
Answer:
a(bc)
Step-by-step explanation:
................
simplify the expression (5.8f - 3g + g)-(7f - 2.5g)
(5.8f - 3g + g) - (7f - 2.5g)
(5.8f - 4g) - (7f - 2.5g)
2.8f - 2.5g
Answer:
2.8f - 2.5g
If 6 chocolate chip cookies cost $2.40. What will 9 chocolate chip cookies cost?