Answer:
x2+10x+25
Step-by-step explanation:
Hope it is helpful.....
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Not that hard, will give brainlist if correct
Answer: y = f(x - 4) - 1, lower left corner
=============================================================
Explanation:
Let's focus on only the left-most points of each curve
For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)
To go from (-7,0) to (-3,-1), we will do two things
Shift 4 units to the rightShift 1 unit downThis can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.
In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.
The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.
Overall, we go from y = f(x) to y = f(x - 4) - 1
Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.
principal is 5000 rate p.a. is 8 percent and time 1year
Answer:
5400
Step-by-step explanation:
Given data
P= 5000
r= 8%
t= 1 year
The simple interest expression is given as
A= P(1+rt)
Required
The final amount A
substitute
A= 5000(1+0.08*1)
A= 5000*1.08
A= 5400
Hence the final amount 5400
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
Help me with this plss
Answer:
Yes
Step-by-step explanation:
Yes because -3 (K) is 3 points away from 0 and if you go another 3 points from 0 you get to 3 (Q)
im sorry if I was wrong.
(4x – 6)°
(2x)
Equation:
X:
Answer:
x=31
Step-by-step explanation:
2x+4x-6=180
6x=180+6
6x=186
x=31
Answer:
x = 31
Step-by-step explanation:
2x and 4x - 6 are alternate angles and supplementary, sum to 180°, then
2x + 4x - 6 = 180
6x - 6 = 180 ( add 6 to both sides )
6x = 186 ( divide both sides by 6 )
x = 31
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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The perimeter of a regular decagon is 355m.
State the length of one of its sides.
35.5m
Step-by-step explanation:
355m÷10=35.5m answer
Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk
Answer: say what now?
Step-by-step explanation:
A swimming pool with side lengths of 18 by 36 meters is represented on a scale drawing where 1 cm represents 1m. How long and how wide is the scale drawing of the swimming pool
Answer:
18 by 36 cm
Step-by-step explanation:
one cm represents one meter
16, excursionistas tienen Proviciones Para
12 dias, si al grupo se
agregan 8 Personas
& cuantas dias duraran esas Proviciones?
y=
Answer:
para 10 dias
Step-by-step explanation:
espero te sirva
A local council is concerned that there are too many students for staff to look after in schools. There are 18 staff and 225 students in school A. a Write the staff : student ratio in the form 1 : n.
you have to find a number they are both divisible by to get it to simplest form. 18:225.
divide both by 3. 6:75.
you can divide it by 3 again.
answer: 2:25
The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of 1 : n is given as 225 / 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The number of staff in the school = 18
And, the number of students in the school = 225
Since, the ratio of two numbers a and b is given as a : b = a / b.
In the form of 1 : n it can be written as, a : b = 1 / (b / a).
Similarly, the ratio of staff and students n the form of 1 : n can be written as,
Staff : Students = 18 : 225
=> Staff : Students = 1 / (18 / 225)
=> Staff : Students = 225 / 18.
Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.
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Solve for b. 3(b + -2-8=-5 what is the answer?
Equation/Question:
Solve for b. 3(b + -2)-8=-5 what is the answer?
Answer/Steps to answer:
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by NeighborhoodDealer
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
What is 36 over 45 in simplest form
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5
One side of a rectangle is 9 inches longer than another side. If
the longer side of this rectangle decreases by 5 inches, and the
shorter side increases by 3 inches, the area of the new rectangle
equals the area of the original rectangle. Find the dimensions of the
original rectangle
Plz help
Answer:
6 and 15
Step-by-step explanation:
x^2 + 9x = x^2 + 7x +12
2x = 12
x = 6
The dimension of the original rectangles are 6 inche and 15 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Original rectangle:
Length = x + 9
Width = x
Area = (x + 9)x
New rectangle:
Length = (x + 9) - 5 = x + 4
Width = x + 3
Area = (x + 4)(x + 3)
Now,
(x + 9)x = (x + 4)(x + 3)
x² + 9x = x² + 3x + 4x + 12
9x = 7x + 12
9x - 7x = 12
2x = 12
x = 6
Now,
The dimension of the original rectangle.
x + 9 = 6 + 9 = 15
x = 6
Thus,
The dimensions of the rectangles are 6 inches and 15. inches
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Eleman sayısı 2 arttırıldığında alt küme sayısı 24 artan bir kümenin eleman sayısı kaçtır
Answer:
What?
Step-by-step explanation:
Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7
Answer:
The answer is C
Step-by-step explanation:
Answer:
C. 10/17
Step-by-step explanation:
10/17 is less than the correct answer 1.7 so it is C.
B divided by 8= 4
What is B.
Answer
The answer is 32
Step-by-step explanation:
32/8=4
Answer:
b = 32
Step-by-step explanation:
b/8 = 4
Multiply each side by 8
b/8 * 8 = 4*8
b = 32
25300 rounded to the nearest 100
Answer:
25,300
Step-by-step explanation:
Its already rounded.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?
Answer:
100000 olacak iyi dersler
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
More about the Algebra link is given below.
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The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer:
:)
Step-by-step explanation:
It would cost $150 for a party of 9 people and it would cost $260 for 20 people
HELP ASAP!! Will give brainliest to first correct answer
Answer:
m(∠KJL) = 54°
Step-by-step explanation:
It's given that two sides of ΔJKL are equal in measure.
Therefore, angles opposite to the equal sides will be equal.
By triangle sum theorem in ΔJKL,
m∠KJL + m∠KLJ + m∠JKL = 180°
2(m∠KJL) + 72° = 180°
2(m∠KJL) = 180° - 72°
m∠KJL = [tex]\frac{108}{2}[/tex]
m(∠KJL) = 54°
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
Help asappp please !!!
I am unsure on how to solve x
Answer:
180-165= 15
(They tried to throw you off with the second line)
Answer is 15 degrees
The figure is made up of 2 cones and a cylinder. The cones and
cylinder have a 4 cm diameter.
What is the exact volume of this figure?
отпCm3
0 12cm
0 207cm
0 367cm
Answer:
This question is unsolvable because:
1) Volume can't be measured in cm (think you mean cm^3)
2) Volume of the cylinder is calculated with its height and bottom area.
We can calculate its bottom area like this: (4/2)^2*pi
But since we do not know the cylinder nor the cones' height then we can't
calculate their volume.
Please correct me if im wrong
help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation: