Answer: 89
Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89
The Temperature is 50F. The temperature will decrease by 4F each hour. Let h be the numbers of hours.
When will the temperature below 32F
Write inequality for this equation.
C. and D. arrows are suppose to have lines under them.
A. 50 - 4h< 32
B. 50 + 4h < 32
C. 50 + 4h <_32
D. 50 - 4h <_ 32
Answer:
a. 50 - 4h < 32
Step-by-step explanation:
The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).
If the temperature is decreasing every hour you have to decrease 4 for each hour.
hope that helps!
A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
PLS HELP!!
What is x
Answer:
2
Step-by-step explanation:
What is the derivative of this?
Dy/dx=x^2y+y^2x
Answer:
y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)
Step-by-step explanation:
So, this is an implicit differentiation problem
x^2y+y^2x
so,
use product rule for both
x^2y'+2xy+y^2+2yy'x
collect all the y's
-x^2y'-2xyy'=y^2+2xy
y'(-x^2-2xy)=y^2+2xy
=y^2+2xy/-x^2-2xy
Help pleaseeeee
Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120
It’s one of these
O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour
Answer:
The answer is 40miles in 1 hour
Select all true statements, 25 points
Answer:
the first one and the last one
Step-by-step explanation:
I need help with these in order!!!
Answer:
See steps below
Step-by-step explanation:
WS ⊥ MH , HS = SM ......... Given
<HSW = <MSW = 90 ..... From WS ⊥ MH
Triangle HWS = Triangle WMS .... SAS theorem
<M = <H .... based on triangle congruency, and angle opposed to equal side WS
(iready question pls answer ASAP)
What is the equation of the line?
A) y=2x+2
B) y=2x-4
C) y=1/2x+2
D)y=1/2x-4
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
Which of the following are partial products for 43 x 17
Answer:
731
Step-by-step explanation:
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ2
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
solve for x -1.5x - 3.1 < 5.5
Answer:
x>-17.2
Step-by-step explanation:
Simplify both sides of the inequality
-0.5x-3.1< 5.5
Add 3.1 to both sides
-0.5x< 8.6
Divided both sides by -0.5
x>-17.2
Hope this helped! :)
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
simplify [tex]x^2+6x+4/x+3[/tex]
Answer:
(x^3 + 6 x^2 + 3 x + 4)/x
Step-by-step explanation:
Simplify the following:
x^2 + 6 x + 3 + 4/x
Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:
x^3/x + (6 x^2)/x + (3 x)/x + 4/x
x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:
Answer: (x^3 + 6 x^2 + 3 x + 4)/x
Which of the following is equivalent to the expression below? x 6 x 2
Answer:
Step-by-step explanation:
the answer is D
A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning
9514 1404 393
Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
__
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
__
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
_____
* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))
where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...
C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
If these two shapes are similar, what is the measure of the missing length g?
The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?
Answer:
gcf is 20 lcm is 40
Step-by-step explanation:
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answer:
This is called a prepayment
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
Write a linear equation for each table relating X and Y
Answer:
a. y = 2 + 2x
b. y = 20 - 4x
c. y = 2 + 1.5x
d. y = 20 - 3x
Step-by-step explanation:
I Hope That This Helps! :)
free brainlyiWhich of the following is true? (1 point)
1)
|−6| < 5
2)
|−6| < |5|
3)
|−5| < |−6|
4)
|−5| < −6
Answer:
1)
Step-by-step explanation:
Answer:
all of it
Step-by-step explanation: