Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
i need to know what the answer is!?
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Answer:
{16, +infinity}
Step-by-step explanation:
Represent the number with n
Required
Find the solution set
From the question, we have that;
4½n - 9½ > 62.5
Convert all numbers to decimal
4.5n - 9.5 > 62.5
Add 9.5 to both sides
4.5n - 9.5 + 9.5 > 62.5 + 9.5
4.5n > 72
Multiply both sides by 2
2(4.5n) > 72 * 2
9n > 144
Multiply both sides by ⅑
⅑ * 9n > 144 * ⅑
n > 16
This implies that n ranges to infinity from positive 16;
Hence, the correct answer is {16, +infinity}
PLEASE HELP!! URGENT
A Giant Redwood tree cast a shadow that is 532 feet long, with an angle of elevation of 25.7° Use the
information provided and the diagram below to determine the height of the tree. Round to the nearest
whole foot.
532 it
256 ft
479 ft
231 ft
13672 ft
< Previous
Next >
Answer:
The answer is option 1.
Step-by-step explanation:
You have to apply Tangent Rule, tanθ = opposite/adjacent. Then, you have to substitute the following values into the formula :
[tex]tan(θ) = \frac{oppo.}{adj.} [/tex]
[tex]let \: θ = 25.7 \: , \: oppo. = h \: , \: adj. = 532[/tex]
[tex] \tan(25.7) = \frac{h}{532} [/tex]
[tex]532 \tan(25.7) = h[/tex]
[tex]h = 256 \: feet \: (3s.f)[/tex]
The value of height of tree is,
⇒ h = 256 feet
We have to given that,
A Giant Redwood tree cast a shadow that is 532 feet long, with an angle of elevation of 25.7° .
Hence, By given figure we get;
By using trigonometry formula, we get;
⇒ tan 25.7° = Opposite / Adjacent
⇒ tan 25.7° = h / 532
⇒ 0.4812 = h / 532
⇒ h = 0.4812 × 532
⇒ h = 256 feet
Therefore, The value of height of tree is,
⇒ h = 256 feet
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The hanger image below represents a balanced equation. Find the value of r that makes the equation true.
Step-by-step explanation:
R is 4 times so the equation will be
32 = 4r
32/4 = r
8 = r
The t distribution approaches the _______________ distribution as the sample size ___________.
Answer:
Normal; increases.
Step-by-step explanation:
In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.
The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.
This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.
Explain how to solve 5x2-3x = 25 by completing the square. What are the solutions?
Answer:
x= 3 +√509/10
Or
x= 3 - √509/10
Step-by-step explanation:
Given:
5x2-3x = 25
Using completing the square method of solving quadratic equation
Step 1: Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.
Take (1/2) of (3/5)
1/2 × 3/5
= 3/10
Square 3/10
We have, 9/100
We have,
5(x^2 - 3x/5 + 9/100) = 25 + 9/100
Step 3: Simplify
x^2 - (3/5)x + 9/100 = 25 + 9/100
5(x^2 - 3x/5 + 9/100) = 5 + 9/20
Step 4:
factor the right side
(x - 3/10)^2 = 509/100
Take both roots
√ (x - 3/10)^2 = √509/100
x - 3/10 = ±√ [509/100]
x = [ 3 ±√509 ] / 10
x= 3+√509/10
Or
x= 3 - √509/10
pLZZ i really need help my assignment past due and i just have one more question, please thankyou!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3
Answer:
C
Step-by-step explanation:
So first, we should probably un-mix those fractions. So, we get:
4/3 x 7/4.
Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.
The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
Answer:
The circle has radius = 9 units, and its equation is:
[tex]x^2+y^2=81[/tex]
The parabola has equation of the form:
[tex]y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number
Step-by-step explanation:
Given the characteristics of the two figures (circle and parabola) as described,
since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;
[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]
Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:
[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number.
what is the value of a?
a. 55
b. 110
c. 50
d. 100
Answer:
a i think
Step-by-step explanation:
Which of the following statements is true for a function with equation Ax) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
Answer:
Hey there!
The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.
Hope this helps :)
Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.
Answer:
Answer is x = 24
Matches 3/2 x +1 = 4/5x-5
Step-by-step explanation:
We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8
where 16 is 2/2 and 1/2 of 16 = 8
We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.
When 1 is added its done at end of both equations as multiplication occurs before hand.
Gracie has the same as Nancy = 5x+5 means 25 x 5 = 250+5 = 255 each.
50 x 5 = 250 + 5 +5= 510
510 + 24 + 1 = 535 seashells.
Because
24 + 1 = 25
matches
5/4 of 24 = 30
30 - 5 = 25
x=16 is the equation that represents this situation and identify its solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of shells Marry has.
Gracie has 5 more than times the number of shells Mary has.
Gracie = 1 1/4x + 5
Nancy = 1 1/2x+ 1
Now we have given that: Gracie =Nancy
[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1
5/4x + 5 = 3/2x + 1
5x + 20 = 6x + 4
Subtract 6x and 20 on both sides
5x - 6x = 4 - 20
-x = - 16
x = 16.
Hence, x=16 is the equation that represents this situation.
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Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
Answer:
a 0,1 and b 1,0
Step-by-step explanation:
exam took
Answer:
The other answer is incorrect the answer is
D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
What is the result of subtracting the second equation from the first?
Answer: 11x - 8y = -9
Step-by-step explanation:
Subtract it by terms.
8x - (-3x) = 11x
-4y - (4y) = -8y
-4-5= -9
order it
11x - 8y =-9
help me plz can somewon help me
Answer:
The answer is 6x10^-4.
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 .
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
How to get this answer:
Place the decimal point after the 6 to get 6.0
The question is now "how do we go from 6.0 to get back to 0.0006?"
The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.
So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6
In a Euler diagram, “No X are Y” would be represented how?
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms?
Answer:
The net charge on the four atoms is 12
Step-by-step explanation:
The given parameters are;
The charge of each electron = -1
The charge of each proton = + 1
The charge of each neutron = neutral
Therefore, if 3 electrons are removed from each of the three atoms, we have;
The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12
Given that the at the four atoms add equal number of protons and electrons, we have;
Original charge on the four atoms = n×(-1) + n×(+1) = 0
Therefore;
The net charge on the four atoms after removal of the 12 electrons = Original charge - (-12)
The net charge on the four atoms = 0 - (-12) = +12
The net charge on the four atoms = +12.
Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
A pantry contains 6 shelves each 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls. The number
of 1-yard rolls needed is:
Answer:
7 1-yard rolls
Step-by-step explanation:
1 yard = 36 inches.
6(42 in) = 252 inches.
252 in/36 in = 7
Therefore, 7 1-yard rolls are needed.
The number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7.
Given,
A pantry contains 6 shelves.
Each shelves = 42 inches long.
The shelves are to be relined with fresh paper.
The paper is sold in 1-yard rolls.
We need to find the number of 1-yards rolls needed to sell 6 shelves.
How many inches is 1yards?1 yard = 36 inches.
We have,
6 shelves and each shelves is 42 inches.
1 shelves = 42 inches.
6 shelves = 6 x 42 inches
6 shelves = 252 inches.
And since,
36 inches = 1 yard
252 inches = (252/36) yard
252 inches = 7 yard
Thus the number of 1-yard rolls needed to sell 6 shelves each of 42 inches is 7 1-yard rolls.
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help i want help i want help
Answer:
[tex] \boxed{127 \: {in}^{2} }[/tex]Option A is the correct option.
Step-by-step explanation:
Surface area of the rectangle base = 9 × 5 = 45 in²
Surface area of lateral square = ( 5 )² = 25 in²
Surface area of lateral rectangle = 6.4 × 5 = 32 in²
Surface area of top square = ( 5 )² = 25 in²
Surface area of two parallel trapezoids:
[tex] (\frac{1}{2} (9 + 5) \times 5) \times 2[/tex]
= 7 × 5 × 2
= 70 in²
Total surface area:
= 45 + 25 + 32 + 25 + 70
= 197 in²
Hope I helped!
Best regards!
A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!!
Answer:
A =189 cm^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh where b is the base and h is the height
A = 9 * 21
A =189 cm^2
Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
what is (7*7*7*7*7*7) * (7*7) in exponential form?
Answer:
7^8
Step-by-step explanation:
Answer:7^8
Step-by-step explanation:
The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?
Answer:
[tex]\boxed{x=8y^2-16y-68}[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Choose a system of equations with the same solution as the following system
Liam tried to define a translation. - Point A maps to point A' - Every point P maps to point P' such that PP' is parallel to AA' and points in the same direction as AA' Which counterexample shows that Liam's definition does not fully define a translation?
Answer:
B
Step-by-step explanation:
This is the correct answer.
From The diagrams shown here, the option that does not fully define a translation is B.
What is a translation in mathematics?
In mathematics, this is another word for a transformation. What the translation does is that it helps to move a shape in different ways without altering the appearance of the shape.
The translation in this question is option B given the definition that we have above.
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LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
Find the length of KE. A. 30 B. 28 C. 15 D. 3
Answer:
28
Step-by-step explanation:
What value of p makes both sides equal the same? P = 3
37 - 9 = 28
21 + 7 = 28
So line KE and BE both equal 28
Hope this helps, and have a good day :)!
The length line KE and BE both equal 28.
Option (B) is correct.
Find the length of KE.
What is angle?Figure which is formed by two rays or lines that shares a common endpoint.
Given that:
Let the value of
P = 3
Put the value of P
37 - 9 = 28
21 + 7 = 28
So, line KE and BE both equal 28
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Kara has twenty-four thousand, five hundred sixty stickers in her album.
Raul has 20,000 + 4,000 + 500 + 60 stickers in his collection.
Answer:
they are both the same thing the first one with kara is in numbers and with raul it is in words
Step-by-step explanation:
hope i helped and have a great day :)
Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100
Answer:
D. 100°
Step-by-step explanation:
Refer to picture attached
Lines QP and QR are tangent to radius of circle.
Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.
So as per sum of angles in right triangle, we have:
1/2∠PQR + 1/2∠POR = 90°1/2(81x-1)° + 1/2(100x)° = 90°(90.5x)°= 90.5°x= 1°Then:
mPR(arc)= (100x)°= 100*1°= 100°Correct answer choice is D. 100°
What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17
Answer: -7
Step-by-step explanation:
