Answer:
b = 125
Step-by-step explanation:
Given a varies directly as [tex]\sqrt[3]{b}[/tex] then the equation relating them is
a = k[tex]\sqrt[3]{b}[/tex] ← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k[tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
a = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ← equation of variation
When a = [tex]\frac{15}{4}[/tex] , then
[tex]\frac{15}{4}[/tex] = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{b}[/tex] ( multiply both sides by 4 to clear the fractions )
15 = 3[tex]\sqrt[3]{b}[/tex] ( divide both sides by 3 )
5 = [tex]\sqrt[3]{b}[/tex] , then
b = 5³ = 125
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
find the sum −10t−7−10t−7
Answer:
-20t-14
Step-by-step explanation:
-10t-10t= -20t
-7-7= -14
(need help fast)
Which of the following is an open statement?
A)
An angle that measures 95° is an obtuse angle.
B)
An angle that measures 95° is an acute angle.
C)
An angle that measures 40° is an acute angle.
D)
∠XYZ is an acute angle.
Answer:
D) is the right answer.
Hope it helps!
Thanks!
Answer:
I believe the correct answer is C) An angle that measures 40° is an acute angle. I'm not 100% sure if this is the correct answer.
Please help. I don’t know what to do.
Answer:
83
Step-by-step explanation:
The sum of the interior angles of any closed figure will always equal 360º, so what you need to do is add:
109+90+78=?
This will in turn give you 277.
Subtract 277 from 360, and boom, 83 degrees.
estimate the difference
7 3/4 subtracted by 2 2/5
show your work
Answer:
5 7/20
Step-by-step explanation:
basically, you are going to want to turn these into improper fractions
7 3/4 = 28/4 + 3/4
= 31/4 (no further simplification)
2 2/5 = 10/5 + 2/5
= 12/5
now get common denominator to subtract
31/4 - 12/5
155/20 - 48/20 = 107/20
if you want this back into mixed fraction then convert
107/20 = 5 7/20
A round swimming pool has a radius of 12 feet. What is its circumference?
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
Answer:
about 452.16
Step-by-step explanation:
c = pi r²
12²= 144
pi is about 3.14
144 × 3.14 = 452.16
Lorenzo's lovely lamp land buys a lava lamp for $24. They sell the lamp to the end customer for $50.40. What is the markup percent?
Answer:
110%
Step-by-step explanation:
100%->24
1%-> 0.24
50.40 -24 = 26.40
26.40÷0.24=110%
Mr. Scott is planning a party for 78 people. Each table seats 8 people. He divides to find the number of tables he needs to seat everyone
9r6
878
-72
6
Which equation is the result of adding theses two equations -2x+4y=17 3x-10y=-3
Answer:
x=-79/4, y=-45/8. (-79/4, -45/8).
Step-by-step explanation:
-2x+4y=17
3x-10y=-3
---------------
3(-2x+4y)=3(17)
2(3x-10y)=2(-3)
----------------------
-6x+12y=51
6x-20y=-6
------------------
-8y=45
y=45/-8=-45/8
3x-10(-45/8)=-3
3x+450/8=-3
3x+225/4=-3
3x=-3-225/4
3x=-12/4-225/4
3x=-237/4
x=(-237/4)/3
x=(-237/4)(1/3)
x=-237/12=-79/4
In the number 8246315 what sigit is in the ones place
Answer:
5
Step-by-step explanation:
The ones place is the one most to the right that isn't after a decimal point.
Answer:
5, since it is all the way to the right
Step-by-step explanation:
if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !
i hope this helps !! :D
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG¯¯¯¯¯¯?
a 15/7=5/DG
b DG/15=5/7
c 5/7=15/DG
d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
C
Step-by-step explanation:
Since every side of ΔABC is dilated by 3, or triple the size
We multiply every length of ΔABC by 3
But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer
7 x 3 = 21
DG = 21
5/7 = 15/21
5 ÷ 7 = 0.71
15/21 = 0.71
5/7 = 15/21
Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their angles are equal.
Triangles [tex]ABC,DFG[/tex] are similar
[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]
[tex]\frac{5}{15}=\frac{7}{DG}[/tex]
[tex]DG=21[/tex] inches
So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches
Find out more information about triangle here:
https://brainly.com/question/2773823?referrer=searchResults
If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)
9514 1404 393
Answer:
-374
Step-by-step explanation:
f(8) = -8 +6 = -2
g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187
Then the product is ...
(g•f)(8) = g(8)•f(8) = 187·(-2)
(g•f)(8) = -374
write : what’s the algebraic expression for the difference of 9 and x
Answer:
9-x
Step-by-step explanation:
ez dub
Answer:
9-x
Step-by-step explanation:
the difference of (tells you to subtract) 9 and x (9-x)
hope this helps have a blessed
Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
an expression to show how many stickers her brother has.
?
Step-by-step explanation:
Her brother has 85 * x stickers.
3x-4y=-14 6x+3y=27 don’t understand how to solve
tama Ang kanyang sagot
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 feet, what is the distance (x) from the plane (P) to the observer (O)?
A right triangle is shown with angle O marked 42 degrees, hypotenuse marked x, and height marked 15,000 feet.
10,035 feet
16,648 feet
20,188 feet
22,417 feet
Answer:
22,417
Step-by-step explanation:
Just took the test.
Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Given information-The observer angle to the plane is 42 degrees.
The height of the plane is 15000 feet.
As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,
[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]
Thus the base of the right triangle is 16660 feet.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.
For the given problem the the hypotenuse side is x feet.
[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]
Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
If someone can help that would be great
Answer:
x = 16
Step-by-step explanation:
For the triangle to be isosceles then AB = CB , that is
5x - 9 = 4x + 7 ( subtract 4x from both sides )
x - 9 = 7 ( add 9 to both sides )
x = 16
Please help quick will give brainliest!
Answer:
The statement that correctly uses limits to determine the end behavior of f(x) is;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0
Step-by-step explanation:
The given function is presented here as follows;
[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
The limit of the function is presented as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]
Dividing the terms by x², we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]
As 'x' tends to ±∞, we have;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;
Therefore, we have;
[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]
The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;
[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.
Given g(x) = -5x+ 2, find g(4).
Answer:
Answer:
-18
Step-by-step explanation:
g(x)=-5x+2
g(4)=-5(4)+2=-20+2=-18
Answer:
-18
Step-by-step explanation:
plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato
Answer:
0.5 kg
Step-by-step explanation:
Kiran's family took a road trip to Niagara Falls. Kiran slept through the last 62% of the trip. If the total length of the trip was 1000 miles, how many miles had they traveled when Kiran fell asleep?
Answer:
380 miles
Step-by-step explanation:
First, find 62% of 1,000:
1,000 • .62 = 620 miles
Next, subtract 620 from 1,000:
1,000 - 620 = 380 miles
The family had traveled 380 miles before Kiran fell asleep
4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.
Question 11
A house is currently worth $120,000 and is increasing in value at a rate of 6% per year
Which explicit expression would model the value of the house after 3 years?
A
120,000(0.94)3
B
120,000(1.06)
120,000 + 0.94 (3)
120,000 + 1.06 (3)
D
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
Step-by-step explanation:
SI=P×T×R÷100
SI= 6400×9×10÷100
SI=576000÷100
SI=5760
get and f =½ then g-4f equals
Answer:
i dont know
Step-by-step explanation:
bye
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answer:
$17600
Step-by-step explanation:
Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)
Solve for x
x^2 - 7x + 10 = 0
Answer:
Step-by-step explanation:
x²-7x+10=0
(x-2)(x-5)=0
x=2 or x=5
Answer:
Step-by-step explanation:
x2−7x+10=0
Step 1: Factor left side of equation.
(x−2)(x−5)=0
Step 2: Set factors equal to 0.
x−2=0 or x−5=0
x=2 or x=5
(You can confirm this by plugging in the numbers yourself)
properties of rectangle
and your free fire id
Answer:
i am not play free fire
muje school dhyan nahi ate eseleye
plss help me il mark you brainly
Answer:
thisl give u extra credit: 2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Answer:
1. 78.54 (area)
2. 25.13 (circumference)
3. 4.5 (radius)
4. 13 (diameter)
Step-by-step explanation:
