Answer:
y=1/5x-4
Step-by-step explanation:
Hi there!
We want to write the equation of the line, and we're given that the line has a slope of 1/5, and the y intercept of the line is (0, -4)
There are multiple ways to write the equation of the line, the most popular being slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We are already given the slope (1/5), so we can plug it in as m in the equation.
y=1/5x+b
Now for b, we are also given the y intercept; the value of b is the value of y at the point of the y intercept
In this case, b would equal -4
So substitute -4 as b into the equation:
y=1/5x-4
This is the equation of the line.
Hope this helps!
Take a look here for a similar problem to practice if you wish: https://brainly.com/question/21717067
Please answer this (who ever answers correctly gets brainlest)
Answer:
3.6 ft = 43.2 inches
3.6 ft = 1.2 yards
Explanation:
Every foot is 12 inches. 3.6 * 12 = 43.2
To find yards, divide the feet by 3.
3.6 / 3 = 1.2
8) Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write the expression that
represents the total number of nickels Casey and Megan have. Use an expression bubble.
PLEASE HELP GIVING A GOOD AMOUNT IF POINTS
Answer: 5n nickels
Step-by-step explanation:
Since Casey has n nickles and Megan has 4 times as much, Megan has 4*n nickels = 4n nickels. The total ampunt = n+4n = 5n nickels.
Plssss help
I need AC
Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
∠ACB=90° ⇒ ΔABC is right triangle
AB is hypotenuse, ∠BAC=30° ⇒
[tex]CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}[/tex]
Let's use Pythagorean theorem
[tex]AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18[/tex]
solvemath ttttttttttttttttttttttttttttttttttttttttt
Answer:
Step-by-step explanation:
1)5^1/3*3 = 5^3/3 = 5
2) 5+x=2 =>x=2-5 => x=-3
3)2*1/2^2*4^4 => 2*1/4*256 => 0,5*256 = 128
4) Rule!Any number to the power 0 is equal to 1; and 1 to any power will always give 1. => 1^5 =1.
5)x^(-6)-(-4) => x^-2 ; x^(-2)+3=x
y^5-8=y^-3
=>z^3/ x^2*y^3
z^0=1
x/y^3
Answer 1a please and thank you
Answer:h
Step-by-step explanation:
j
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:
cylinder91.9 ft³Step-by-step explanation:
a)An object with a uniform circular cross section is generally modeled by a cylinder.
__
b)The formula for the volume of a cylinder is ...
V = πr²h
For the given radius and height, the volume is ...
V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³
The volume of the tree trunk is about 91.9 ft³.
What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?
Answer:[tex] \color{hotpink} \bold{91.85 \: \: ft} [/tex]— — — — — — — — — —
— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)
Formula:[tex] \underline{ \boxed{ \sf \: V=πr²h}}[/tex]where,
V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height– This formula is used when the radius of the base is given.
Solution:Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.
– Using the formula above, substitute the givens in the formula then solve.
[tex] V=πr²h[/tex][tex]V=3.14 \times (1.5)² \times 13[/tex][tex] V=3.14 \times (2.25 \times 13)[/tex][tex]V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}[/tex]Hence, the volume is 91.85 ft³.
_______________∞_______________
Model the following verbal description below with an equation, Table, and graph. The table must include at least five data points. The table must include at least five data points. The basketball team wants to order shirts for the game days. The t-shirt company charges a $5 flat rate for using their services and $2 for every letter on the shirt.
Modeling of a situation is getting its properties held in another system, usually mathematical. The equation for given situation is [tex]C = 2T + 5[/tex]
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case the number of t-shirts brought is not known, so let we take it as T
Since each t-shirt costs $2, thus, T t-shirts will cost: T × $2
Since, cost of using the service of the t-shirt company is $5 flat rate, thus,
Total cost for purchasing T t-shirts = T × $2 + $5
Let total cost be denoted by C, then:
[tex]C = 2T + 5[/tex]
(we usually don't write multiplication sign usually, and write the quantities close to each other, denoting that they're in multiplication.)
(we usually don't write symbols like $ etc in equations. It is known from context like what type of currency is in discussion(if multiple currency, then we can do some modification to variable symbols).
Thus,
The equation for given situation is [tex]C = 2T + 5[/tex]
Table for it, using values of T from 1 to 5, we get:
[tex]\begin{array}{cc}T&C\text{(In dollars)}\\1&7\\2&9\\3&11\\4&13\\5&15\end{array}[/tex]
Plotting them in graph, we get the following attached graph.
Learn more about forming equations here;
https://brainly.com/question/12279939
Triangle A has a height of 2.5cm and a base of 1.6cm. The height and base of triangle B are proportional to the height and base of triangle A. Which of the following could be the height and base of triangle B?
Answer:
I THINK ( A ) IS CORRECT ANSWER
I THINK ( A ) IS CORRECT ANSWERHOPE THIS HELPS U!!!
please help!
use the order of operations to solve each problem.
1.) 2×3[7+(6÷2)]
2.) 3[-3(2-8)-6]
3.) 3×3[2-(9÷3)]
4.) 2[-5(4-12)-3]
5.) [(3×3)-(30÷6)]+(-27)-13
6.) 2÷[(4÷2)+(32÷8)]
Answer:
1.) 60
2.) 36
3.) -9
4.) 74
5.) -36
6.) [tex]\frac{2}{6} =\frac{1}{3}[/tex]
Step-by-step explanation:
1.) 2×3[7+(6÷2)]
2×3[7+3]
2×3×10
2×30
60
2.) 3[-3(2-8)-6]
3[-3(-6)-6]
3[18-6]
3×12
36
3.) 3×3[2-(9÷3)]
3×3[2-3]
3×3[-1]
3×3×-1
9×-1
-9
4.) 2[-5(4-12)-3]
2[-5(-8)-3]
2[40-3]
2×37
74
5.) [(3×3)-(30÷6)]+(-27)-13
[9-5]+(-27)-13
4-27-13
4-40
-36
6.) 2÷[(4÷2)+(32÷8)]
2÷[2+4]
2÷6
[tex]\frac{2}{6} =\frac{1}{3}[/tex]
Hope this helps!
Can someone please help me? I will give brainliest!
Answer:The height is 12ft
The length of the rug is 10ft and the height of the parallelogram is 12ft
The width of the rug is 6ft wide and the parallelogram is 9ft wide
Yes the rug will fit
Step-by-step explanation:
Does anyone know this problem!! I need help asap!! #help
Answer:
you times that by 7 I think
Step-by-step explanation:
Answer:
3.5 miles
Step-by-step explanation:
i think, if its wrong- s o r r y ;v;
BCDE is a Rhombus.
B
С
55°
E
D
What is the mDBE?
Is the relation shown in the table below a function?
please help with this : use 3 for pi
(4x+3)^2=225^2
Simplify and find the solution
Answer:
hi is this correct please let me know
Step-by-step explanation:
4x
4
+91x
2
−225=0
Substitute t for x
2
.
4t
2
+91t−225=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. Substitute 4 for a, 91 for b, and −225 for c in the quadratic formula.
t=
2×4
−91±
91
2
−4×4(−225)
Do the calculations.
t=
8
−91±109
Solve the equation t=
8
−91±109
when ± is plus and when ± is minus.
t= 49
t=−25
A bootstrap sampling distribution was constructed for a single mean. The sample mean was 100 and the standard deviation was 15. Given a sample size of 30 the standard error was 2.739. If the sample size were increased to 500, how would the standard error change?
a. It would increase.
b. It would stay the same.
c. It would decrease.
Answer:
c. It would decrease
Step-by-step explanation:
When you increase the sample size, you decrease the standard/marginal error since you have a bigger representation of the population. However, this would take time and money to collect data for these big samples.
A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ
Answer:
1 9/11 T/h
Step-by-step explanation:
You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.
Unit rateThe unit rate in tons per hour is found by dividing tons by hours:
(2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h
= 1 9/11 T/h
The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.
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What are the variables in this expression? f 2 g StartFraction h over 4 EndFraction minus 7 f and g only g and h only f, g, and Negative 7 only f, g, and h only.
Answer:
The variables are F, G and H
Answer:
F,g,h Good luck!
Step-by-step explanation:
So , there is this thing that says : "the circumference of a circle is 7,850 , whats the radious?
Answer:
1250 (corrected to 3 significant figures)
Step-by-step explanation:
the formula to calculate circumference is 2πr, where r is the radius.
hence, we can form the equation
2πr = 7850
r ≈ 1249.3663
= 1250 (corrected to 3 significant figures)
Distribute. 8(3x + 9)
Answer:
24x + 72
Step-by-step explanation:
The Martinez family ate at a restaurant. The cost of the meal was $34.50. The sales tax was 6% of the cost of the meal. They left a tip of 15% of the cost of the meal plus tax. What was the total cost of the meal, tax, and tip?
(I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $42.06 btw)
1. observe problem
The Full price is:
The Subtotal + the Subtotal*tax
so,
34.50+34.50*0.06=
36.57
The Full price plus tip is
Full price + Full price * tip percentage
so,
36.57+36.57*0.15
Which is
$42.0555
Rounded to is
$42.06
8
——
math
pls help geniuses!!
——————————-
Answer:
C = ( -7 , 6 )
R = 2
SO ...
The ANSWER is "A"
My first question ever, and my last question yet.
Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?
Answer:
n = {14, 15, 16}Step-by-step explanation:
This is a sum of the first n terms of an AP:
S = (1 + n)*n/2The true sum is between 92 and 145:
92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17Let n = 14
S = 14*15/2 = 105Let n = 15
S = 15*16/2 = 120Let n = 16
S = 16*17/2 = 136What is the slope of the line that passes through the points (-4, -1) and (4, 5)?
a) 4/3
b) 3/4
c) -3/4
d) -4/3
Answer:
3/4
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5 - -1)/( 4 - -4)
= ( 5+1)/(4+4)
= 6/8
= 3/4
A merchant bought a dozen of books for 1500 birr and sold it at a profit of 15% of its cost price. What is the selling price?
Answer: They sold each book at a price of 143.75 birr
Step-by-step explanation:
1500 divided by 12 is 125 and 15% of 125 is 18.75 so add it together and you got your answer. hope this helps <3
Answer:
C. 1725
Step-by-step explanation:
We can find the selling price by adding the cost price and the profit made
As the merchant has made 15% of profit on 1500 birr . So ,
15% of 1500 is 225 birr
[tex] \frac{x}{1500} \times 100 = 15 \: percent[/tex]
Adding the cost price and profit made we get ,
Selling Price = 1500 birr + 225 birr
Sp = 1725 birr
For each value of w, determine whether it is a solution to -54 <7w-5.
Answer:
All in order:
YES
NO
NO
NO
Step-by-step explanation:
-54 ≤ 7(-7) - 5 YES because the sign says greater than or equal to (in the image)
-54 ≤ 7(5) - 5 NO
-54 ≤ 7(7) - 5 NO
-54 ≤ 7(-9) - 5 NO
I NEED HELP!!!!
What is the main difference between multiplying decimals and whole numbers? If one factor has 2 decimal places and another factor has 1 decimal place, how many decimal places will the product of these two factors have?
Answer:
Both type of numbers have a decimal point but the decimal numbers can contain digits other than 0 so you have to worry for these numbers when you're multiplying and the placement of the decimal point in the answer.
A way think about it is sum the total numbers after the decimal point, this work because the numbers can be represented as fractions (explanation below) so If one factor has 2 decimal places and another factor has 1 decimal place the answer have 3 decimal places.
Step-by-step explanation:
A whole can be represented as 2 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.
So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.
Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method takes more time, so is more simply to say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.
The temperature on one planet is -42 degrees. On another planet, it is -70 degrees. What is the difference in these 2 temperatures?
Answer:
28 degree difference
Step-by-step explanation:
-70-(-42) = -28
Find the slope of the graph
Answer: The slope of the graph is -2
Step-by-step explanation:
Take any two points from the graph, and do rise/run
For example, we take (1,3) and (2,1)
Apply rise/run... rise: 2, run: -1
2/-1 = -2
m = -2
For the next question, the slope is 4
And the last question, the slope is 1 1/2
Hope this helped!
Here’s the explanation!!!!!
Answer:
It's correct
Step-by-step explanation:
(θ‿θ)(θ‿θ)(θ‿θ)