Answer:
45; 9
Step-by-step explanation:
1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.
2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;
3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to the formula above 3(b-c)=108;
4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;
5) if to make up the system of two equations, then:
[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]
6) rate of the boat in still water: 45 km/h;
rate of the current: 9 km/h.
which function is equivalent to F(x)=-4(x+7)^2-6?
[tex]\huge\mathfrak\orange{answer}[/tex]
Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.
[tex]f(x) = \red{-4(x+7)^2 - 6}[/tex]
[tex]f(x) = -4(x^2 + 14x + 49) - 6[/tex]
[tex]f(x) = -4x² - 64x - 196 - 6[/tex]
[tex]\underline{f(x) = -4x² - 64x - 202}[/tex]
(good luck :) and mark me brainliest if you're satisfied with my answer)
Name the geometric term modeled by a pinhole
in a wall.
A. Line Segment B. Plane
C. Line D. Point
Answer:
D. Point
Step-by-step explanation:
The wall would be like a plane.
You're looking at the wall, and the pinhole is a dot, and the dot is a point.
(20 Points)
In circle P, M^ ADB is 25°.
What is the m^ APB ?
☁︎
A:65
☁︎
B:40
☁︎
C:25
☁︎
D:50
Given:
In circle P, m∠ADB is 25°.
To find:
The m∠APB.
Solution:
Central angle theorem: According to this theorem, the central angle of an arc is twice of inscribed angle of the same arc.
From the given figure it is clear that the ∠APB is the central angle and ∠ADB is the inscribed angle on the arc AB.
By using the central angle theorem, we get
[tex]m\angle APB=2\times m\angle ADB[/tex]
[tex]m\angle APB=2\times (25^\circ)[/tex]
[tex]m\angle APB=50^\circ[/tex]
Therefore, the correct option is D.
Tell me the Definition of each Word listed (math)
Multiply (x+2y)(x^2-xy+3y)
The product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
Given that, (x+2y)(x²-xy+3y).
What is product of polynomials?To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. Add those answers together, and simplify if needed.
The product of two given polynomials is as follows
(x+2y)(x²-xy+3y)
= x(x²-xy+3y)+2y(x²-xy+3y)
= x³-x²y+3xy+2x²y-2xy²+6y²
= x³+x²y-2xy²+6y²+3xy
Hence, the product of two given polynomials is x³+x²y-2xy²+6y²+3xy.
To learn more about the product of polynomials visit:
https://brainly.com/question/16037613.
#SPJ2
How do you differentiate y = 3x3 - 2x-4
Answer:
y' = 9x^2 + 8x^-5
Step-by-step explanation:
General Principle
y' = ax^b
y' = a*b * x^(b-1)
Solution
3x^3 = 3*3x^(3-1)
3x^3 = 9x^2
-2x^-4 = -2*-4 x ^(-4 - 1)
-2x^-4 = 8 x ^-5
Answer
y' = 9x^2 + 8x^-5
Someone please help me
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
Write 6^4 in expanded form. Then evaluate.
Answer:
expanded form: 6x6x6x6
answer: 1296
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, the measure of ∠M=66°, and NO = 60 feet. Find the length of MN to the nearest tenth of a foot.
Answer: 65.7
Step-by-step explanation:
sinM=
hypotenuse
opposite
=
x
60
sin
66
=
60
x
sin66=
x
60
x
sin
66
=
60
xsin66=60
x
sin
66
sin
66
=
60
sin
66
sin66
xsin66
=
sin66
60
x
=
60
sin
66
=
65.6782
≈
65.7
feet
x=
sin66
60
=65.6782≈65.7 feet
Answer:
67
Step-by-step explanation:
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.
Answer:
b
Step-by-step explanation:
Somebody help me please,
When solving equations algebraically, Meghan and Meredith each got a different solution. Who is correct? Why did the other person not get the correct answer..?
Answer:
Meghan is correct, y=8
Step-by-step explanation:
8/2 = 4, 2/2 doesn't equal 4. When writing this algebraically, you would multiply 2 to leave the y alone. What happens to one side has to happen to the other, so you would multiply 4 by 2. You're left with y=8
Answer:
wanted my points
Step-by-step explanation:
Find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.(a) 11 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (b) 8x1 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rules. (c) 3x31 x4 dxThis integral can be evaluated using the basic integration rules.This integral cannot be evaluated using the basic integration rule
Answer:
a) This integral can be evaluated using the basic integration rules. [tex]\int 11x^{4}dx = \frac{11}{5} x^{5}+C[/tex]
b) This integral can be evaluated using the basic integration rules. [tex]\int 8x^{1}x^{4}dx=\frac{4}{3}x^{6}+C[/tex]
c) This integral can be evaluated using the basic integration rules. [tex]\int 3x^{31}x^{4}dx=\frac{x^{36}}{12}+C[/tex]
Step-by-step explanation:
a) [tex]\int 11x^{4}dx[/tex]
In order to solve this problem, we can directly make use of the power rule of integration, which looks like this:
[tex]\int kx^{n}=k\frac{x^{n+1}}{n+1}+C[/tex]
so in this case we would get:
[tex]\int 11x^{4}dx=11 \frac{x^{4+1}}{4+1}+C[/tex]
[tex]\int 11x^{4}dx=11 \frac{x^{5}}{5}+C[/tex]
b) [tex]\int 8x^{1}x^{4}dx[/tex]
In order to solve this problem we just need to use some algebra to simplify it. By using power rules, we get that:
[tex]\int 8x^{1}x^{4}dx=\int 8x^{1+4}dx=\int 8x^{5}dx[/tex]
So we can now use the power rule of integration:
[tex]\int 8x^{5}dx=\frac{8}{5+1}x^{5+1}+C[/tex]
[tex]\int 8x^{5}dx=\frac{8}{6}x^{6}+C[/tex]
[tex]\int 8x^{5}dx=\frac{4}{3}x^{6}+C[/tex]
c) The same applies to this problem:
[tex]\int 3x^{31}x^{4}dx=\int 3x^{31+4}dx=\int 3x^{35}dx[/tex]
and now we can use the power rule of integration:
[tex]\int 3x^{35}dx=\frac{3x^{35+1}}{35+1}+C[/tex]
[tex]\int 3x^{35}dx=\frac{3x^{36}}{36}+C[/tex]
[tex]\int 3x^{35}dx=\frac{x^{36}}{12}+C[/tex]
two classrooms held 62 desks. at this rate, how many desks would be needed for 15 classrooms?
HELPPPP PLEASE ASAP
Answer:
465
Step-by-step explanation:
If a classroom averages 31 desks (62/2=31) for 1 classroom, 31 multiplied by 15 is 465
In ACDE, the measure of ZE=90°, DE = 2.1 feet, and CD = 4.4 feet. Find the measure
of ZD to the nearest tenth of a degree.
D
4.4
2.1
E
С
Answer: 61.5
Step-by-step explanation: gave up on deltamath
Sam has $35 in his wallet. He spent 2/5 on his wallet. How many dollars does he have left?
Answer:
15
Step-by-step explanation:
Answer:
2/5×$35 = 2/1×$7 = 2×7 = $14
ES LA OPERACION DE MOVER LOS EJES COORDENADOS EN EL PLANO COORDENADO A UNA POSICION DIFERENTE, MANTENIENDOLOS PARALELOS A LOS ORIGINALES Y EN EL MISMO SENTIDO
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
3 inches / 1.25 miles = x inches / 10 miles
x = 24 inches
Answer:
24 inches
Step-by-step explanation:
create a proportion of inches/miles = inches/miles
let x = # inches in 10 miles
3 / 1.25 = x / 10
cross-multiply:
1.25x = 30
x = 30/1.25
x = 24
5. Let f(x) = 3x3/4 and g(x) = -2x314 Find (f + g)(x). Please show work.
Answer:
I don't have a clue
Step-by-step explanation:
I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
Add and Subtract Linear Expressions
1. Subtract m + 8 from 5m + 11.
Enter your answer in the box.
2. Add the two expressions.
−4.2x+3 and 2.5x−6
Enter your answer in the box.
Answer:
1. 4m + 3
2. -1.7x - 3
A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
A triangle has sides with lengths of 4 meters, 5 meters, and 6 meters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
because no pythagoras formula work here
Answer:
Lets solve it by phythagoras therom
[tex]alt^{2}[/tex] + [tex]base^{2}[/tex] = [tex]hypo^{2}[/tex]
[tex]6^{2}[/tex] = [tex]4^{2}[/tex] + [tex]5^{2}[/tex]
so, [tex]4^{2}[/tex] + [tex]5^{2}[/tex] would be equal to [tex]6^{2}[/tex]
[tex]4^{2}[/tex] + [tex]5^{2}[/tex] = 16 + 25
= 41
[tex]6^{2}[/tex] = 36
41 is not equal to 36
So it is not a right angled tringle.
Hope it helps
Please mark me as the brainliest
thank you
M M m Given the following triangle with the following angle values, solve for X,
Answer: x = 32
Step-by-step explanation:
Triangle angle sum theory states that the interior angles of a triangle sum to 180. Add all three angles up and set equal to 180 to solve.
33+ 37 + (3x+14) = 180. Combine like terms
84 +3x = 180. Subtract 84 from both sides.
3x = 96. Divide both sides by 3.
X = 32
Which equation matches the hanger diagram?
Answer:
D
Step-by-step explanation:
You can see that the hanger is perfectly balanced
So that means that:
5 ones = 2 x's
So:
1+1+1+1+1=x+x
simplified
2x=5
D
4 less tha the product of a 5 and a number
Answer:
5+n(-4)
Step-by-step explanation:
this is the equation if that helps??
Answer:
5*N-4 five times a number n minus four
10
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the
number of inches on the map, and y, the actual distance in miles?
A
Map Scale
с
Map Scale
Actual Distance (miles)
225
200
175
150
125
100
75
Actual Distance (miles)
225
200
175
150
125
100
75
50
25
50
25
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
B
Map Scale
D
Map Scale
y
225
200
E 175
8 150
Actual Distance (miles)
125
Actual Distance (miles)
225
200
175
8 150
125
100
75
50
25
100
75
50
25
0
0
1 2 3 4 5 6 7 8 9
Number of Inches on Map
1 2 3 4 5 6 7 8 9
Number of Inches on Map
Answer: it’s C
Step-by-step explanation: