Answer:
The correct answer is 32.5
The value of a dirtbike decreases by 15% each year if you purchase this dirtbike today for $500 to the nearest dollar how much would the baby be worth five years later
What is -2(w-5)+4w+3 simplified
Answer:
2w + 13
Step-by-step explanation:
Step 1: Distribute
-2(w - 5) + 4w + 3
-2w + 10 + 4w + 3
Step 2: Combine like terms
-2w + 10 + 4w + 3
2w + 13
Answer: 2w + 13
Tanya likes to take walks around the pentagonal garden at her local park. The garden on the left has congruent sides. If Tanya starts at one vertex of the pentagon and walks all the way around the garden, how far has she walked in total?
Answer:
it has 5 sides and she walks a total of 12.5
Step-by-step explanation:
The Garden have 5 congruent side.
The Perimeter of Pentagon is 12.5 m.
What is Perimeter?The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
We have, a pentagon having congruent sides as 2.5 cm
So, the Garden have 5 congruent side.
Now, the Perimeter of Pentagon
= 2.5 x 5
= 12.5 m
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(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
Rectangle ABCD is reflected about the x-axis.
What are the coordinates of vertex D’?
A. (-6, -8)
B. (6, -8)
C. (6, 8)
D. (-6, 8)
Answer:
Option D, (-6, 8)
Step-by-step explanation:
Since it is reflected across the x-axis, that means the y values flip their signs.
Since D was (-6, -8) flip the y value you get (-6, 8)
Answer: Option D, (-6, 8)
Answer:
D. (-6, 8)
Step-by-step explanation:
correct on EDGE
x-2y divided by -z what’s the answer
Answer:
[tex]x (z) +2y/z[/tex]
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One number is 20 greater than another. If the lesser is subtracted from three times the greater number, the difference is 84. Find the number.
Answer:
X=32 and Y=12
The two numbers are 32 and 12
Step-by-step explanation:
Let the number be represented by X and Y
X = 20 + Y-------- equation 1
3X - Y = 84------- equation 2
solving the equation by substitution;
we substitute equation 1 into equation 2, we have;
3(20+Y)-Y = 84
expanding the bracket;
60 + 3Y - Y = 84
60 + 2Y = 84
2Y = 84 - 60
2Y = 24
divide both sides by 2;
2Y/2 = 24/2
Y = 12
from equation 1, we can find X by using the value of Y;
X = 20 + Y
X = 20 + 12
X = 32
PROOF:
using equation 2;
[3*32]-12=84
96-12=84
84=84
Gina has been present at school for 40 of the first 45 days of the school year. The school year is 180 days long. If Gina continues to attend school at the same rate, how many days will she attend school during the school year?
The answer is going to be 160.
Answer:
158
Step-by-step explanation:
40 is about 88% of 45,
88% of 180 is 158.4,
I'm assuming you need whole days so that would be 158
If you bought a stock last year for a price of $77, and it has risen 17.9% since then, how much is the stock worth now
The stock purchased for $77 grew by 17.9%, which equals an increase of $13.78. Therefore, the current stock price is $90.78.
Explanation:To solve this problem, we need to calculate the percent increase of the stock's price. A percent increase of 17.9% means that the stock price has increased by 17.9% of the original price. To calculate the amount of the increase, we multiply the original price ($77) by the percent increase (17.9%), remembering to convert the percentage to a decimal (0.179).
So, $77 times 0.179 equals ~$13.78. This is the amount by which the stock price has increased. To find the new price of the stock, we add this increase to the original price, which gives us $77 (Original price) + $13.78 (Increase) = $90.78, so the stock is worth $90.78 now.
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The equation shown is used to find the volume of a cylinder, V , were r is the radius and h is the height. v/r^2 = pi h
which equation correctly shows the radius?
r=√v / πh
r= √v/πh
r=√πh / v
r=√πh/v
[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex] is the equation correctly shows the radius.
Option B
Step-by-step explanation:
The cylinder’ volume (density) indicates how much amount of materials it can able to carry or how much amount of material it can immerse in it. The formula for volume of cylinder is given as:
[tex]V = \pi r^{2}h[/tex]
where
V = volume of cylinder
r = radius of cylinder
h = height of cylinder
In order to find radius following simplifications are done:
⇒[tex]V = \pi r^{2}h[/tex]
Keep the factor 'r' in one side and keep other in one side as below,
⇒ [tex]\frac{V}{\pi h } = r^{2}[/tex]
Taking square root on both sides,
⇒[tex]\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h }[/tex]
⇒[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex]
Therefore, option b is correct as [tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex].
You put $600 in an account at 5%. What is that balance at the end of two years?
Answer:
$660
Step-by-step explanation:
1: Change 5% to a decimal. (0.05)
2: Multiply 600 X 0.05 X 2(years)
3: Add 60 and 600
4: $660
Answer:
$661.5
Step-by-step explanation:
The formula for this question is FV = PV (1 + r)^n so you set it up as 600(1+.05)^2 and you get $661.50 because you are paying for interest over two years which is n, FV is the future value which is 661.50, PV is previous value which is 600, and r is he interest rate which is .05.
Factor the expression. 21v2 – 70v + 49
A. 7(3v – 7)(v – 1)
B. (21v – 49)(v – 1)
C. 7(3v + 7)(v + 1)
Answer:
A. 7(3v-7)(v-1)
Step-by-step explanation:
21v2 - 70v +49
Factor out 7
7(3v2 - 10v +7)
write -10v as a difference
7(3v2 - 3v -7v +7)
Factor out 3v
7(3v × (v-1) - 7 × (v-1))
Factor out (v-1)
7(3v-7)(v-1)
Find the quotient of 85 and 4find the quotient of 85 and4
Quotient is 21
Step-by-step explanation:
Step 1:
Divide 85 by 4. Using long division method, find the quotient.
21
4|85
8
-------
5
- 4
--------
1
On the Price Is Right game show, to get into the showcase at the end, contestants spin a wheel with 20 equally sized spaces, numbering 5 cents, 10 cents, 15 cents,and so on, up to $1.00. If the contestant spins once, find the probability of getting a $1
Solve the formula I=Prt to find the time, t, when P=$1,200, I=$81, and r=2.7%
Answer:
t = 2 years and 6 months
Step-by-step explanation:
I = Prtin order to solve this :
make t the subject of formulat = I/Pr
now input the values given
[tex]t = \frac{81}{1200 * \frac{2.7}{100} }[/tex]
t = 2.5
this means 2.5 years , we can make this value exact :
2.5-2 = 0.5
0.5 * 12 months = 6 months
hence t = 2 years 6 months
What is the answer to this 20 / (20p ^ 2)
Answer: 20p
Step-by-step explanation:
20/(20p^2) evaluated the power of 2
20/400p divided 400/20
20p answer
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gz/g + z, for g = 12 and z = 9
A. 5.14
B. 36
C. 9
D. 12
To solve this problem, we simply must plug in the values.
gz/g + z ⇒ [tex]\frac{12(9)}{12}[/tex] or 9.
When we plug in 12 for g and 9 for z, we will find that option C is correct.
In triangle ABC, AB = 8.9 m, Angle BAC = 90° and Angle ABC = 56°. H lies on BC such that AH
is perpendicular to BC. Find the length of
(i) AH
(ii) HC.
Please help me!! Thank you
Answer:
(i) The length of AH is 7.3784 m
(ii) The length of HC is 10.9389 m
Step-by-step explanation:
The sum of the angles ABC, BAC and ACB is 180º, hence, ACB = 180-90-56 = 34º. Note also that AH breaks the rectangle triangle ABC into 2 rectangle triangles AHB and AHC.
i) In AHB, AB is the hypotenuse, and the angle ABH is equal to ABC, hence it is 56º. AH is the opposite side of that angle and we know that
Sin(ABH) = opposite/hypotenuse = AH/8.9
Thus,
AH = 8.9*Sin(ABH) = 8.9*Sin(56º) = 7.3784 m
ii) In AHC, AH is also the opposite of the angle ACH (which meassures 34º), and HC is the adjacent of that angle (the hypotenuse is AC). As a result
Tan(ACH) = Tan(34º) = 0.6745 = opposite/adjacent = AH/HC = 7.3784/HC
Hence,
HC = 7.3785/0.6745 = 10.9389 m
Final answer:
AH = 8.9 m, HC = 0 m
Explanation:
Given that triangle ABC is right-angled at A, we can use trigonometry to find the lengths of AH and HC.
To find the length of AH, we can use the sine of angle BAC:
AH = AB * sin(BAC) = 8.9 * sin(90°) = 8.9
Since AH = 8.9 m, we can find the length of HC by subtracting AH from BC:
HC = BC - AH = 8.9 - 8.9 = 0 m
Which graph is a Linear function of x?
Graph B is the only straight line, thus the linear function of x and the correct option is B.
A linear function is a function whose graph is a straight line. This means that for any two points on the graph, the change in y divided by the change in x is always the same.
Looking at graph B, we can see that the line is perfectly straight. This means that the change in y divided by the change in x is always the same, regardless of where we are on the line.
Therefore, graph B is a linear function of x.
Graphs A, C, and D are not linear functions of x. Graph A is a quadratic function, meaning that its graph is a parabola. Graph C is a piecewise function, meaning that its graph is made up of two different lines. Graph D is an exponential function, meaning that its graph curves upward.
Therefore, the correct option is B.
What must be the length of ZY in order for ZY to be tangent to circle X at point Y? 14 units 15 units 16 units 17 units
Answer:
The answer is 15 units!!
Step-by-step explanation:
[tex]17^{2} -8^{2} = 225\\\sqrt{225} =15[/tex]
The length of ZY to be a tangent is 15.
Option B is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
XY = Radius
And,
Radius = 8
Applying the Pythagorean theorem,
XZ² = XY² + ZY²
8² = (8 + 9)² + ZY²
64 = 289 + ZY²
ZY² = 289 - 64
ZY² = 225
ZY = 15
Thus,
The length of ZY is 15.
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Line L1 has the equation 3x-30y=y
Express the equation of L1 in the slope-intercept form
Answer:
[tex]y=\frac{3}{31} x[/tex]
Step-by-step explanation:
Written in: y = mx + b
Answer:
y = 3/31x
Step-by-step explanation:
Step 1: Add 30y to both sides
3x - 30y + 30y = y + 30y
3x = 31y
Step 1: Divide both sides by 31
3x / 31 = 31y / 31
y = 3/31x
Answer: y = 3/31x
Write in simplest terms3.2x-5+4t(-7)
Answer:
-7(6 x t) *2
Step-by-step explanation:
How many fluid ounces are in 12 1/4 cups?
A. 6 1/8 fl oz
B. 24 1/2 fl oz
C.49 fl oz
D. 98 fl oz
The number of fluid ounces equivalent to 12 1/4 cups is; 98 fl Oz.
What is the number of fluid ounces in 12 1/4 cups?It follows from the task content that it is required to determine the number of fluid ounces in 12 1/4 cups.
Since, 1 Cup contains 8 fluid ounces; it therefore follows that 12 1/4 cups will contain;
= 12 1/4 × 8
= 98 fl Oz.
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hurry i need help plzzzz
Answer:
D. y = -x
Step-by-step explanation:
Hope this helps.
Brainliest...??
What is the equation of a line that has a slope of –1/2 and contains the point (8, 1)? Express the equation in slope-intercept form, y = mx + b.
A- y= -1/2x+5
B- y= -1/2x+4
C- y= -1/2x+8 1/2
D- y= -1/2x-5
Option A: [tex]y=-\frac{1}{2} x+5[/tex] is the equation of the line.
Explanation:
It is given that the equation has a slope is [tex]m=-\frac{1}{2}[/tex]
It also contains the point [tex](8,1)[/tex]
We need to find the equation of line in slope - intercept form.
First, we shall determine the value of y - intercept(b).
Let us substitute the slope [tex]m=-\frac{1}{2}[/tex] and the point [tex](8,1)[/tex] in the slope - intercept form [tex]y=mx+b[/tex] , we get,
[tex]1=-\frac{1}{2} (8)+b[/tex]
Simplifying, we have,
[tex]1=-4+b[/tex]
Adding both sides of the equation by 4, we have,
[tex]1+4=b[/tex]
[tex]5=b[/tex]
Thus, the y - intercept is [tex]b=5[/tex]
Now, substituting the slope [tex]m=-\frac{1}{2}[/tex] and the y - intercept [tex]b=5[/tex] in the slope - intercept form [tex]y=mx+b[/tex] , we get,
[tex]y=-\frac{1}{2} x+5[/tex]
Thus, the equation of the line is [tex]y=-\frac{1}{2} x+5[/tex]
Hence, Option A is the correct answer.
What type of number is -91i
Answer: I would say imaginary numbers...
Step-by-step explanation:
It follows the format of imaginary numbers: bi, where i = [tex]\sqrt{-1}[/tex] and b = -91.
Final answer:
The number -91i is an imaginary number, which is a subset of complex numbers with a real part of 0 and an imaginary part of -91.
Explanation:
The number -91i is a complex number.
Complex numbers consist of two parts: a real part and an imaginary part. In this case, the real part is 0 and the imaginary part is -91.
The 'i' represents the imaginary unit, which is defined as √(-1).
Therefore, -91i is an imaginary number because it exists only with the imaginary unit 'i', and does not have a real part.
Which of these tables represents a function?
Answer:
w
Step-by-step explanation:
In y = f(x), for every x value, there can be at most one y value. All the other tables have duplicate x values.
Explain why (cos((theta))? + (sin((theta))2 = 1
Imagine a right triangle where a and b are the legs and c is the hypothenuse.
Pitagora: a²+b²=c²
Divide by c
(a/c)²+(b/c)²=1
But a/c=sin(B) and b/c=cos(B)
Thus sin² + cos² = 1
5 less than a number is 15
Answer:
The number is 20
Step-by-step explanation:
Step 1: Convert words into an expression
5 less than a number is 15
5 less than a number is n - 5
n - 5 = 15
Step 2: Add 5 to both sides to get the number
n - 5 + 5 = 15 + 5
n = 20
Answer: The number is 20
Subtract x2 – 2x – 6 from -6x + 5.
-6x + 5 - (x² – 2x – 6) = -6x+5-x²+2x+6 = -x²-4x+11
The longest side in a right triangle is 24 cm and the second longest side 20 cm, what is the length of the shortest side
Answer:
[tex]4\sqrt{11}[/tex]
Step-by-step explanation:
you use the Pythagorean theorem, so the longest side is the hypotenuse and so you do 24^2 minus 20^2 to find the shortest side. you would get 176 and you square root this to get about 13.27