Answer:
The answer is D
Answer:
The answer is A
The graph below is the graph of a function
A. True
B. False
Answer:
false
Step-by-step explanation:
Answer:
A. True
Step-by-step explanation:
Use vertical line test to find our whether the line is the graph of a function or not.
From the photo, we can see that only one output ( value of y) for one input ( value of x) and all vertical lines intersect a curve at most once then the line represents a function.
Hope it will find you well.
Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded
monthly, to pay for her last semester of college. If she will begin paying off
the loan in 10 months with monthly payments lasting for 20 years, what will
be the total amount that she pays in interest on the loan?
A. $9345.60
B. $3345.60
C. $3724.80
D. $9724.80
Answer:
The total interest paid by Nell in 20 years is $3,724.80
C is correct
Step-by-step explanation:
Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded monthly.
First we find total amount in 10 months
[tex]A=6000(1+\frac{0.048}{12})^{10}[/tex]
[tex]A=6244.37[/tex]
Now, He has to pay loan off on 6244.37 for 20 years at 4.8% APR
Loan Formula:
[tex]P=\dfrac{PV\cdot r}{1-(1+r)^{-n}}[/tex]
PV=6244.37
r=0.048/12
n=240
[tex]P=\dfrac{6244.37\times \frac{0.048}{12}}{1-(1+\frac{0.048}{12})^{-240}}[/tex]
[tex]P=40.52[/tex]
Total pay in 20 years = 40.52 x 20 = 9724.80
Total amount took loan = $6000
Interest = 9724.80 - 6000
= $3,724.80
Hence, The total interest paid by Nell in 20 years is $3,724.80
Answer: $3345.60
Step-by-step explanation:
Apex - Took one for the team on the quiz because I forgot to check the rating on the other answer </3
what percent of 64 is 16
Answer:
Step-by-step explanation:
The percent of 64 which that is 16 is 25% because, to find what percent a number y is of a number x, you have to follow the steps: Divide y by x.
Answer:
25%
Step-by-step explanation:
The question aks: What percentage of 64 is 16?
Let that percentage be x,
[tex]\frac{x}{100}[/tex] of 64 = 16
We multiply both sides by 100 then divide by 64 to get:
x = [tex]\frac{1600}{64}[/tex] = 25%
Solve:
a: 256÷x=64
b: 256÷x=4
c: 36÷d=60
Answer:
x = 4. x = 64, d = 0.60.
Step-by-step explanation:
a. 256 /x = 64
64x = 256
x = 256/64
x = 4.
b. 256/x = 4
4x = 256
x = 256/4
x = 64.
c. 36/d = 60
60d = 36
d = 36/60
d = 0.60.
A spoke of a wheel makes 32 revolutions while the wheel goes 425 feet. Find the approximate radius of the wheel.
Answer:
2.11 ft
Step-by-step explanation:
Given in the question,
number of revolution a wheel make = 32
distance that wheel traveled while rotating = 425ft
Step 1
Find the circumference of the wheel
circumference = total distance covered / number of revolution
= 425 / 32
= 13.28 ft
Step 2
Formula of circumference
2πr = 13.28 ft
r = 13.28/2π
r = 2.11 ft
simplify sin x / CSC x + cos x / sec x
The expression sin x / csc x + cos x / sec x simplifies to sin^2 x + cos^2 x by using the reciprocal identities of the trigonometric functions csc x and sec x.
Explanation:The expression sin x / csc x + cos x / sec x can be simplified by substituting the reciprocal identities for the trigonometric functions csc x and sec x. The reciprocal of csc x is sin x and the reciprocal of sec x is cos x. Thus, sin x / csc x becomes sin x / (1/sin x) which simplifies to sin^2 x. Similarly, cos x / sec x becomes cos x / (1/cos x) or cos^2 x. Therefore, the simplified form of the expression is sin^2 x + cos^2 x.
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I need some help with #15
Answer:
B. 1184
Step-by-step explanation:
Answer is B
See photo
If h(x)=6-x what is the value of (hxh)(10)?
Answer:
16
Step-by-step explanation:
h(x) × h(x) = (6 - x)²
(h × h)(10) = (6 - 10)² = (- 4)² = 16
For this case we have by definition, that given two functions, then:
[tex](f * g) (x) = f (x) + g (x)[/tex]
Here, we want to find ([tex](h * h) (x):[/tex]
[tex](h * h) (x) = (6-x) (6-x)\\(h * h) (x) = 36-6x-6x + x ^ 2\\(h * h) (x) = 36-12x + x ^ 2[/tex]
We want to find the value of the function when [tex]x = 10[/tex].
[tex](h * h) (10) = 36-12 (10) + (10) ^ 2\\(h * h) (10) = 36-120 + 100\\(h * h) (x) = 16[/tex]
Answer:
[tex](h * h) (x) = 16[/tex]
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.
If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?
Answer: Obtion B
[tex]P = 1.3e ^ {-0.038t}\\\\P = 2.1e ^ {-0.046t}[/tex]
Step-by-step explanation:
The equation for exponential decay has the following form:
[tex]y = pe ^{-rt}[/tex]
Where
p is the initial population
r is the rate of decrease
t is time.
In this problem we have to:
The current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million.
So
[tex]p_1 = 1.3[/tex] in millions
[tex]p_2 = 2.1[/tex] in millions
We also need the populations of insect to be reduced at a rate of 3.8% and insect to be reduced at a rate of 4.6%.
so:
[tex]r_1 = 0.038\\\\r_2 = 0.046[/tex]
then the exponential decay equation for insect A is:
[tex]P = 1.3e ^ {-0.038t}[/tex]
the exponential decay equation for insect B is:
[tex]P = 2.1e ^ {-0.046t}[/tex]
Finally, the system of equations is:
[tex]P = 1.3e ^ {-0.038t}\\\\P = 2.1e ^ {-0.046t}[/tex]
The answer is the Option B
Use complete sentences to describe the domain of the cosine function
The domain of a function is the complete set of possible values of the independent variable.
The cosine function is represented by the expression: y=cos(x), where "x" is the independent function, and "y" the dependent function. So the domain comes to be all the values that "x" can take.
The domain of the cosine function is all the real numbers. All this can be verified by looking at its graph (attached)
What is the solution to 3|–3x + 9| = –18?
x = –5
x = 5 or x = 1
x = –5 or x = 1
no solution
Answer:
x=5 and x=1
Step-by-step explanation:
3 |-3x + 9| = -18
/3 /3
|-3x + 9| = -6
-3x + 9 = -6 -3x + 9 = 6
-9 -9 -9 -9
-3x = -15 -3x = -3
/-3 /-3 /-3 /-3
x = 5 and x = 1
Answer:
No solution
Step-by-step explanation:
How many different ways can the 11 letters in the word PROBABILITY be arranged?
There are 11 letters in "probability"
There are two B's and two I's
11!/(2!2!) = 9,979,200
hope that helps. please name me brainliest
Answer:
8
6
Using all the letters of the word ARRANGEMENT how many different words using all letters at a time can be made such that both A, both E, both R both N occur together .
Hope this helps <3<3<3 Aaliyah
Step-by-step explanation:
What is the reciprocal of tanB in the triangle below?
Answer:
Step-by-step explanation:
Note that the reciprocal of tan B is by definition the cotangent (cot) of B:
1 adjacent side BC
---------- = cot B = ----------------------- = ---------
tan B opposite side AC
Answer:
Hence, The reciprocal of tan B is tan A
B is correct.
Step-by-step explanation:
We are given a right angle triangle. Right angle at ∠C
We need to find the reciprocal of tan B
First we write the formula of tan B using trigonometry identity.
[tex]\tan\theta=\dfrac{\text{Opposite}}{\text{Base}}[/tex]
In ΔABC, ∠C=90°
[tex]\tan B=\dfrac{AC}{BC}[/tex]
Now we reciprocal it.
[tex]\dfrac{1}{\tan B}=\dfrac{BC}{AC}[/tex]
[tex]\tan A=\dfrac{BC}{AC}[/tex]
Comparing both equation ( Right sides equal )
[tex]\dfrac{1}{\tan B}=\dfrac{BC}{AC}=\tan A[/tex]
[tex]\dfrac{1}{\tan B}=\tan A[/tex]
Hence, The reciprocal of tan B is tan A.
Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if her annual income from stocks and bonds is $325.6?
Answer:
Final answer is $4440.
Step-by-step explanation:
Let amount of money invested in 8% stock = x
Let amount of money invested in 6% stock = y
then total money invested $325.6 gives equation
8% of x + 6% of y = 325.6
0.08x + 0.06y = 325.6
8x + 6y = 32560...(i)
other equation will be x=2y...(ii)
plug (ii) into (i)
8x + 6y = 32560
8(2y) + 6y = 32560
16y+ 6y = 32560
22y = 32560
[tex]y=\frac{32560}{22}[/tex]
y=1480
plug y=1480 into (ii)
x=2y=2(1480)=2960
Then total money invested in stocks = x+y= 1480+2960=4440
Hence final answer is $4440.
Which set of quadrilaterals must have opposite sides that are congruent and parallel?
A.square, rectangle, kite
B.rhombus, rectangle, trapezoid
C.rectangle, parallelogram, rhombus
D.kite, parallelogram, rectangle
Answer:
The answer is option C. rectangle, parallelogram, rhombus
Step-by-step explanation:
The set of quadrilaterals that must have opposite sides that are congruent and parallel are - rectangle, parallelogram, rhombus.
These three quadrilaterals have opposite sides congruent. Kites and trapezoids does not have opposite sides congruent.
The required set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.
The set of quadrilaterals that must have opposite sides that are congruent and parallel is option C: rectangle, parallelogram, rhombus.
In a rectangle, opposite sides are congruent and parallel.
In a parallelogram, opposite sides are congruent and parallel.
In a rhombus, opposite sides are congruent and parallel.
Therefore, the set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.
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Factor completely 49x^2-25
Answer:
(7x-5)(7x+5)
Step-by-step explanation:
Answer:
(7x + 5)(7x - 5)
Step-by-step explanation:
49x² - 25 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
49x² = (7x)² ⇒ a = 7x
25 = 5² ⇒ b = 5
49x² - 25
= (7x)² - 5² = (7x + 5)(7x - 5)
What is 2648 to two significant figures?
Answer:
2600 is the significant number.
Step-by-step explanation:
Given : 2648.
To find : What is 2648 to two significant figures.
Solution : We have given 2648.
We can see two last digit are 48 that is less than 50.
To the nearest 100 it become 00
So,2600 is the significant number.
Therefore, 2600 is the significant number.
The number 2648 to two significant figures is 2600
How to determine 2648 to two significant figures?From the question, we have the following parameters that can be used in our computation:
Number = 2648
By definition, the number of significant figures are the digits of a number that are meaningful
Using the above as a guide, we have the following:
Number = 2600 to two significant figures
Hence, the number to two significant figures is 2600
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help with #5 please
729. multiple 9 times 9 then 81 times 9 and you get D
Melinda earned the following amount of money in tips the past five days at the restaurant: $52, $78, $62, $120, and $71. What was the median amount of money Melinda earned in tips the past five days?
Answer:
The median would be 71
Step-by-step explanation:
The median means middle and 71 is in the middle if you place the numbers in order
Also please drop a brainliest!
HELPPPP ASAP!!!!!!!!!!!! Using the distributive property, which of the following expressions is equivalent to 5(3 + 5y)?
A. 8 + 5y
B.15 + 5y
C.15 + 25y
D. 8 + 10y
Answer:
C.15+25y
Step-by-step explanation:
5(3+5y) solved via distribution is 15+25y
Happy to help :D
C. Because 5(3+5y) is the same as 5x3 plus 5x5y which is 15 + 25y
Which of the following is an example of a variable expense?
Rent
Groceries
Wages
Car insurance
PLEASE HELP!!
Answer:
Step-by-step explanation:
Rent, wages and car insurance don't vary much. Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.
line p has an x-intercept of 5 and a y-intercept of 3. Find the slope of line p
Answer:
-3/5
Step-by-step explanation:
you can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of a line when given two points.
we are given both the x and y intercepts, and we can use those in the formula.
the x intercept is (5,0) and the y intercept is (0,3)
i will treat (5,0) as my x1 and y1, and (0,3) as my x2 and y2
[tex]\frac{3-0}{0-5}[/tex] = -3/5
the slope is -3/5
The slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a line p:
The x-intercept of line p is 5 or (5, 0)
The y-intercept of line p is 3 or (0, 3)
The slope m can be evaluated:
[tex]\rm m =\dfrac{3-0}{0-5}[/tex]
m = -3/5
Thus, the slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.
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If sin 0=3/5, then cos 0=
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Given
sinΘ = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
I need help on this, what is the ordered pair is a solution?
Answer:
(-2, -1)Step-by-step explanation:
Convert the inequality to the form y > mx + b:
3x + y > -8 subtract 3x from both sides
y > -3x - 8
Put the coordinates of the points to the inequality and check:
for (-3, 0)
0 > -3(-3) - 8 → 0 > 9 - 8 → 0 > 1 FALSE
for (-2, -1)
-1 > -3(-2) - 8 → -1 > 6 - 8 → -1 > -2 TRUE
for (0, -10)
-10 > -3(0) - 8 → -10 > 0 - 8 → -10 > -8 FALSE
for (2, -16)
-16 > -3(2) - 8 → -16 > -6 - 8 → -16 > -14 FALSE
Vertical angles must: check all that apply
Answer:
Have the same vertex , and be congruent.
Step-by-step explanation:
Answer:Have the same vertex , and be congruent.
Step-by-step explanation:
math help uwu ,,, will reward tyvm. (─‿‿─)
Answer:
Step-by-step explanation:
Here's how I would do it (not necessarily the only way or best way).
Draw an imaginary line from A to C. This splits the kite into two triangles: ABC and ADC. Since AB ≅ AD, CB ≅ CD, and AC ≅ AC, the two triangles must be congruent by SSS. Therefore, ∠B ≅ ∠D.
Can someone help me with this math problem
The answer is D. you would do 0.25 x 6.5. you add 2 to the original needed batches of 4.5.
Answer:
1.125 (A)
Step-by-step explanation:
First you multiply 0.25 x 4.5=1.125
Meaning of tan sin and cos
Answer:
Those are trigonometric identities. and tan is just a shortened version of tangent, same for cos is means cosine
The sine/sin of the angle = the length of the opposite side divided by the length of the hypotenuse.
The cosine/cos of the angle = the length of the adjacent side divided by the length of the hypotenuse.
The tangent/tan of the angle = the length of the opposite side divided by the length of the adjacent side.
Which expressions are equivalent to 5+(−3)(6x−5)
Choose all answers that apply:
A
18x−20
B
3x-3
C
None of the above
Answer:
C. None of the aboveStep-by-step explanation:
[tex]5+(-3)(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5+(-3)(6x)+(-3)(-5)\\\\=5-18x+15\qquad\text{combine like terms}\\\\=-18x+(5+15)\\\\=-18x+20[/tex]
Answer:
none of the above
Step-by-step explanation:
just for people who dont want one
Need help very badly
Find the area of the yellow region.
Round to the nearest tenth.
Answer:
5.4 ft²
Step-by-step explanation:
Since the circle is inscribed in the square then radius r = 2.5
Area of yellow = area of square - area of circle
A = (5 × 5) - (π × 2.5²)
= 25 - 6.25π ≈ 5.4 ft²
Answer:
Area of the Yellow Region is 5.4 ft²
Step-by-step explanation:
Given:
Length of the side of the square = 5 ft
Diameter of the Circle = Length of the side = 5 ft
⇒ Radius of the circle, r = 5/2 = 2.5 ft
To find: Area of the Yellow region from the figure.
Area of the Yellow Region = Area of the Square - Area of the Circle
= Side × Side - πr²
= 5 × 5 - 3.14 × (2.5)²
= 25 - 3.14 × 6.25
= 25 - 19.625
= 5.375
≈ 5.4 ft² (nearest tenth)
Therefore, Area of the Yellow Region is 5.4 ft²