Answer:
1.33 & n - 6 = 0.75(t - 8)
Explanation:
Speed can be calculated as miles ÷ minutes
4 ÷ 3 = 1.33 and 8 ÷ 6 = 1.33 as well
Since we know the n and t, we can substitute one into the equation to find the other (substitute t = 8 into all four equations and see do we get n = 6)
You can do this with t = 4 and n = 3 as well
Answer:
you are a great woman removing the sum o saare and pa and pa to the lord and your life to you for drawing the sum o the streets
1.Find the first five terms of the recursive sequence.
Answer:
4.5, - 27, 162, - 972, 5832
Step-by-step explanation:
Using the recursive rule and a₁ = 4.5 , then
a₂ = - 6a₁ = - 6 × 4.5 = - 27
a₃ = - 6a₂ = - 6 × - 27 = 162
a₄ = - 6a₃ = - 6 × 162 = - 972
a₅ = - 6a₄ = - 6 × - 972 = 5832
The first 5 terms are 4.5, - 27, 162, - 972, 5832
the polygons in each pair are similar. find the scale factor of the smaller figure to the larger figure.
Answer:
Smaller factor/larger figure = 3/6 = ½
Step-by-step explanation:
Scale factor of similar figures is usually the ratio of one to the other.
In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.
Length of smaller figure = 3
Corresponding length of larger figure = 6
Scale factor = smaller figure/larger figure = 3/6
Simplify
Scale factor = ½
6.7.35
Question Help
As(t)
800-
A toy rocket is launched from the top of a building 360
feet tall at an initial velocity of 112 feet/second. The
height of the rocket t seconds after launch is given by
the equation s(t)= - 16t2 + 112t+ 360. When does the
rocket reach its greatest height? What is the greatest
height?
600-
400-
200-
0-
0 1
8 9 10
The rocket reaches its greatest height at
feet after
second(s)
Answer:
Step-by-step explanation:
This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!
The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.
If:
[tex]s(t)=-16t^2+112t+360[/tex], then the velocity function, the first derivative is:
v(t) = -32t + 112 and solve for t:
-112 = -32t so
t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.
Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:
[tex]s(3.5)=-16(3.5)^2+112(3.5)+360[/tex] and
s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.
50 points. Please explain each step
Solution given:
Cos[tex]\theta_{1}=\frac{10}{17}[/tex]
[tex]\frac{adjacent}{hypotenuse}=\frac{10}{17}[/tex]
equating corresponding value
we get
adjacent=10
hypotenuse=17
perpendicular=x
now
by using Pythagoras law
Hypotenuse ²=perpendicular²+adjacent ²
substituting value
17²=x²+10²
17²-10²=x²
x²=17²-10²
x²=189
doing square root
[tex]\sqrt{x²}=\sqrt{189}[/tex]
x=[tex]3\sqrt{21}[/tex]
now
In I Quadrant sin angle is positive
Sin[tex]\theta_{1}=\frac{perpendicular}{hypotenuse}[/tex]
Sin[tex]\theta_{1}=\frac{3\sqrt{21}}{17}[/tex]Answer:
sin theta = 3 sqrt(21)/17
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp by using the Pythagorean theorem
adj^2 + opp ^2 = hyp^2
10^2 +opp^2 = 17^2
100 + opp^2 = 289
opp^2 = 289-100
opp^2 = 189
Taking the square root
opp = sqrt(189)
opp = 3 sqrt(21)
Since we are in the first quad, opp is positive
sin theta = opp /hyp
sin theta = 3 sqrt(21)/17
Corine needs 4 pieces
each a foot long to make one
friendship bracelet. She has a total of 144 inches of string. How many friendship bracelets can Corina make?
[?]friendship bracelets
Answer:
Corina can make 3 friendship bracelets.
Step-by-step explanation:
Solve for how much string is needed for one friendship bracelet:
4 pieces × 1 foot
4 feet
Convert feet into inches (1 foot = 12 inches):
4 feet × 12 inches
48 inches
Divide the total string by each bracelet's string:
144 inches ÷ 48 inches
3 friendship bracelets
Answer:лаксдкннйд
Step-by-step explanation:
3. Given the graph below, determine whether each statement is true or false.
Answers:
TrueTrueTrueFalseFalse======================================
Explanation:
In this context, a zero is another term for x intercept or root. This is where the graph either touches or crosses the x axis. This occurs in three locations: x = -3, x = 2, and x = 0. So those are the three roots. That makes the first three statements true, while the remaining two others are false.
Side note: x = 0 doesn't always have to be involved. Its quite possible to have x = 0 not be an x intercept. The term "zero" is a bit misleading in that regard. I prefer either "root" or "x intercept" instead.
help me plsssssssssssss
Answer:
bro the co ordinates are in the picture itself
Answer:
A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)
Step-by-step explanation:
O(-6,-6)
A( -5 , -4) = A( -6+1 , -6 + 2)
A'(-6+3 ,-6+6) = A'(-3,0)
B(-4,-4) = B(-6+2 , -6+2)
B'(-6+6,-6+6)= B'(0,0)
C(-3,-2) = C(-6+3, -6+4)
C'(-6+9 , -6+12) = C'(3,6)
D(-5 , -2) = D(-6+1 , -6 +4)
D'(-6+3, -6+12)=D'(-3,6)
!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle
Answer:
160m
Step-by-step explanation:
Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.
Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.
Therefore, for our case, we multiply the smaller rectangle by 2.
Hence;
(80 × 2)m
= 160 m
NB:
The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE
Answer:
If u add the number it will show u te answer which is 7
Step-by-step explanation:
Add-ons Helplast edit was seconds ago
10 BI VA
+
GO
5
2
E A monthly service fee to download ebooks is $4.96 plus $3.99 per book downloaded White an
equation that represents the total cost, c, in a month when books are downloaded Explain how
yos gation represents the greem
Graph
Create a graph for
3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:
The ratio 4:3 means for every 4 girls there are 3 boys.
Divide total girls by 4, multiply that by 3 to get total boys:
180/4 = 45 x 3 = 135
There are 135 boys
For total students add boys and girls:
180 + 135 = 315 total students
Instructions: Point T is the centroid. Find TE if XE= 21.
Answer:
TE = 7
Step-by-step explanation:
The centroid divides a median in this ratios 1/3 and 2/3. In particular
XT = 2/3 XE
XT = 2/3 * 21
XT = 14
TE = 7
Write the set of non-negative integers in the inequality 2x < 4.
Answer:
The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is
[tex]S = \{0, 1\}[/tex]
Step-by-step explanation:
The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]
For the inequality [tex]2x < 4[/tex], we have
[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]
Therefore,
[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]
Note: 2 is not included
The integers are
[tex]\ldots -2, -1, 0, 1[/tex]
And the non-negative integers are
[tex]0, 1[/tex]
The measure of two complementary angles are 2x degree and 3x degree, then value of x is
Answer:
2x+3x=90
or ,5x=90
or,x=90/5
X=18
Answer:
90/5=18 degrees
Step-by-step explanation:
5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).
A. 1/3
B. 3
C. 3/25x^2
D. 25x^2/3
i think its b Step-by-step explanation:
[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?
Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
what is the volume if the radius is 7m and the height is 9m.
a handbag was purchased for Rs.280/- and sold for Rs.350/- calculate profit%
Answer:
profit is 25%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=350-280/280×100%
=0.25×100
=25%
Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution
Answer:
Step-by-step explanation:
taking the inverse is essentially saying
x = (f(x) + 3)^2
root(x) - 3 = f(x) and -root(x) -3 = f(x)
(you have to take both the positive and negative roots)
plug in 49 for x and get 4 and -10.
The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4
What does the inverse notation f⁻¹(x) represents?The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)
The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;
Taking the square root of both sides of the equation, we get;
√(f(x)) = √((x + 3)²)
√(f(x)) = (x + 3)
Subtracting 3 from both sides, we get;
√(f(x)) - 3 = x + 3 - 3 = x
√(f(x)) - 3 = x
The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;
The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x
When the output value is f(x) = 49 we get;
f⁻¹(49) = √(49) - 3 = ±7 - 3
Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;
f⁻¹(49) = 7 - 3 = 4
f⁻¹(49) = 4
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2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39
3 rolls would cost $1.17.
What is Concept of Direct Proportion?There exists a direct proportion between two values when one exists as a multiple of the other.
In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.
If 7 rolls of tape cost $2.73,
Then 1 roll of tape would cost $2.73/7 = $0.39
Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17
Therefore, at same rate the 3 rolls of tape would cost $1.17.
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m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b
Answer:
m,4+ a+b
Step-by-step explanation:
an exterior angle equals the sum of the 2 opposite interior angles
Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=
Answer:
35.2
Step-by-step explanation:
tan(58) = x/22
or, x = 22×tan(58)
or, x = 35.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
Please help me solve this
Answer:
The 2nd one is 3x+1
The 3rd answer is x+3
Step-by-step explanation:
Given g(x)=4x-1 and f(x)=x-2
Subtracting both
4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1
The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3
Find the slope
of the line passing through the points (3, 4)
and
(8, -3).
Answer:
-7/5
Step-by-step explanation:
I think let me know
Answer:
7/-5 or -7/5
Step-by-step explanation:
This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)
We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula
(3,4). (8,-3)
x1,y1 x2,y2
Slope Formula:
y1 - y2
x1 - x2
Inputting the values:
4 - (-3)
3 - 8
Solve:
7
-5
The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions
I’m practically begging someone please help me!!
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m
Find the area of just the trench.
Answer:
Area of the rectangular trench = 1 square meter
Step-by-step explanation:
length of the garden = 2 1/2 m width of the garden = 2 m
length of both garden and trench = 3 1/2 m
width of both garden and trench = 3m
Length of the trench = Difference in length
= 3 1/2 m - 2 1/2 m
= 7/2 - 5/2
= (7 - 5) / 2
= 2/2
= 1 m
Length of the trench = 1 m
Width of the trench = difference in width
= 3 m - 2 m
= 1 m
Width of the trench = 1 m
Area of the rectangular trench = length × width
= 1 m × 1 m
= 1 m²
Or
1 square meter
Area of the rectangular trench = 1 square meter
You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the sauce for one portion cost? Round to the nearest cent.
Select one:
a. $1.30
b. $1.31
c. $1.28
d. $1.29
The cost of the tomato sauce for one potion given the cost per ounce is $1.30.
What is multiplication?Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.
What is the cost of one portion of the sauce?In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.
$0.37 x 3.5 = $1.30
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