Answer:
35.5cm^2
Step-by-step explanation:
I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,
[tex]nt = 4 \times 30 = 120[/tex]
[tex]r/n = 0.065/4 = .01625[/tex]
[tex]1 + r/n = 1.01625[/tex]
[tex](1 + r/n)^{nt} = 1.01625^{120}[/tex]
Therefore
[tex]A = 25000 \times 1.0625^{120} = 172,984.44[/tex]
Answer:
You will have $172,984.44
what is 2 3/4 dived by 3
Answer:
0.91666666666 hope this helps
just literally divide
The point P=\left(-1/7, y) lies on the unit circle shown below. What is the value of y in its simplest form?
Step-by-step explanation:
The unit circle is a circle in the form of
[tex] {x}^{2} + {y}^{2} = 1[/tex]
while x = cos t
y= sin t
, where t is an angle
So we plug in -1/7, for x to find y
[tex]( \frac{ - 1}{7} ) {}^{2} + {y}^{2} = 1[/tex]
[tex] {y}^{2} = \frac{49}{49} - \frac{1}{49} [/tex]
[tex]y = \frac{4 \sqrt{3} }{7} [/tex]
If the point is in the 2nd quadrant, your value of y is positive
If it in the third quadrant, the y value is negative
A freight elevator can hold a maximum weight of 3,500 pounds.
A deliveryman weighs 200 pounds. He is delivering cartons that each
weigh 48 pounds. He wants to know how many cartons he can safely
put on the elevator at one time. Let c represent the number of cartons.
Answer:
C
Step-by-step explanation:
[tex]200 + 48c \leqslant 3500[/tex]
[tex]48c \leqslant 3300[/tex]
[tex]c \leqslant 68.75[/tex]
Im giving another 100 points to any who can solve this question for me please.
Find the missing values. Leave answers in simplified radical form.
Answer:
r and t both = [tex]2\sqrt{2}[/tex]
o = 9
f = 18
Step-by-step explanation:
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Answer:
p(x) = 500(1.02)^x
Step-by-step explanation:
I took the test and got a 100.
The exponential function is p(x) = 500(1.02)×, option (D) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have the functions given in the options:
As we know the standard form of the exponential function is:
f(x) = a(b)×
The exponential function will increase or decrease exponentially.
From the option:
p(x) = 500(1.02)×
p(x) is an exponential function.
Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.
Learn more about the exponential function here:
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can i find the area of a parrallelogram without the height?
Answer:
yes
Step-by-step explanation:
you have to use trigonometry to find the area of a parallelogram without the height.
the formula is: Area = ab(sin(x))
Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.
Which is NOT an optional supplemental material to enhance your writing?
A. graphs or charts
B. photographs
C. blog posts
D. headings and subheadings
Answer:
B. photographs
Step-by-step explanation:
What equation would you use to solve for x?
Answer:
x² + 6.8² - 10.6²
Step-by-step explanation:
This is probably wrong there
Answer:
First option [tex]x^{2} +6.8^{2} -10.6^{2}[/tex]
Step-by-step explanation:
[tex]x^{2} +6.8^{2} -10.6^{2}=0[/tex]
[tex]x^{2} =10.6^{2} -6.8^{2}[/tex]
10.6 = hypotenuse, 6.8 and "x" are cathets
Hope this helps
Sam wants to rent a boat and spend less than $37. The boat costs $6 per hour, and Sam has a discount coupon for $5 off. What are the possible numbers of hours Sam could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
Y=-2X, Y=5X+3 how do I solve this equation using substitution or elimination
Answer:
y= -2x........eqn i
y=5x+3......eqn ii
substituting the value of Y from eqn i in eqn ii, we get,
-2x=5x+3
-7x=3
x= -3/7
so, y= -2x= -2× (-3/7)
so, y= 6/7
The expression's 30^2-150x-60 and (5x-20)(6x+3) define the same function, f.
a. Which expression make it easier to find f(0)? Explain your reasoning
b.find f(0)
Answer:
[tex]30x^{2} -105x+60[/tex]
Step-by-step explanation:
I just solved it.
(5x-20)(6x+3)
5x•6x=30x^2
5x•3=15x
-20•6x=-120x
-20•3=-60
Pls give Brainliest.
When Jenny started her shift at the ice cream shop the tub of chocolate was 2/3 full. When she finished her shift 6 1/2 hrs later there is only 1/6 tub left. What was the average hourly change in fullness
Answer:
6 1/2=5??
Step-by-step explanation:
so try 5-1/6 and divide by the 5 (if u get no answer pls dont be so quick to put i am still checking)
13 Answer:
Solve by using a proportion. If your answer does not come out evenly,
round it to the nearest hundredth: You drive 132 miles in 3 hours. At
that speed, how many hours would it take you to drive 110 miles? _____
14 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 60% = _____
15 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 300% = _____
16 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 116 2/3% = _____
17 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 19% = _____
18 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 3.8% = _____
19 Answer:
Change to a fraction, whole number, or mixed number. Give the answer in
simplest form: 166 2/3% = _____
20 Answer:
Change to a percent: 4/5 = _____
21 Answer:
Change to a percent: 7/4 = _____
22 Answer:
Change to a percent: 1/3 = _____
23 Answer:
Change to a percent: 2 = _____
24 Answer:
Change to a percent: 0.4 = _____
25 Answer:
Change to a percent: 0.375 = _____
26 Answer:
Solve: 80% of 60 = n n = _____
27 Answer:
Solve: 24% of 65 = n n = _____
28 Answer:
Solve: 115% of 138 = n n = _____
29 Answer:
Solve: 18.3% of 74 = n n = _____
30 Answer:
Solve: 6.5% of 115 = n n = _____
31 Answer:
Solve: 0.75% of 93 = n n = _____
Step-by-step explanation:
13.
132 miles in 3 h = 132miles/3hours = 132/3 miles/h =
= 44 miles/h
so,
how long for 110 miles ?
speed = distance/time
time = distance/speed = 110 miles / 44 miles/h =
= 110/44 h = 55/22 h =
= 5/2 h = 2.5 h
14.
60% = 60/100 = 6/10 = 3/5
15.
300% = 300/100 = 3
16.
116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =
= 350/300 = 1 50/300 = 1 1/6
17.
19% = 19/100
18.
3.8% = 3.8/100 = 38/1000 = 19/500
19.
166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =
= 500/300 = 5/3 = 1 2/3
20.
4/5 = 0.8 = 80%
21.
7/4 = 1.75 = 175%
22.
1/3 = 0.3333333... ≈ 33.33%
23.
2 = 200/100 = 200%
24.
0.4 = 40%
25.
0.375 = 37.5/100 = 37.5%
26.
80% of 60 = 60×80/100 = 60×4/5 = 48
27.
24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =
= 15.6
28.
115% of 138 = 138×115/100 = 138×23/20 =
= 69×23/10 = 158.7
29.
18.3% of 74 = 74×18.3/100 = 74×183/1000 =
= 37×183/500 = 13.542 ≈ 13.54
30.
6.5% of 115 = 115×6.5/100 = 115×65/1000 =
= 23×13/40 = 7.475 ≈ 7.48
31.
0.75% of 93 = 93×0.75/100 = 93×75/10000 =
= 93×3/400 = 0.6975 ≈ 0.70
Write a simplified expression that represents the...
a. area of the large rectangle.
b. area of the small rectangle.
c. area of shaded region.
Answer:
See below
Step-by-step explanation:
a.
Area of the large rectangle = (6 + x) (6 - x)->Area of the large rectangle [tex]=(6)^2-x^2[/tex]-> Area of the large rectangle [tex]= 36-x^2[/tex]b.
Area of the small rectangle = (2 + x) (2 - x)->Area of the small rectangle [tex]=(2)^2-x^2[/tex]->Area of the large rectangle [tex]= 4-x^2[/tex]c.
Area of shaded region = Area of the large rectangle - Area of the small rectangle-> Area of shaded region [tex]=( 36-x^2)-(4-x^2)[/tex]-> Area of shaded region = [tex]=36-x^2-4+x^2[/tex]-> Area of shaded region [tex]=32 \:units^2[/tex]What is the slope of the line?
m=
Answer:
The slope is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Standard form for a linear equation/graph:
[tex]y = mx + b[/tex]
[tex]m[/tex] is the slope, and [tex]b\\[/tex] is the Y- intercept (basically where the graph crosses the y axis).
[tex]m[/tex] can be shown by a fraction: [tex]\frac{Rise}{Run}[/tex]
In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.
Thus, the slope of this graph is [tex]-\frac{4}{3}[/tex]
Here's the function for the line if you need it:
[tex]y = - \frac{4}{3} x + 3[/tex]
The equation of a circle is x 2 + y 2 + 6 y = 7 x 2 + y 2 + 6 y = 7 . What are the coordinates of the center and the length of the radius of the circle?
Answer:
Vertex: (0,-3)
Radius: 4
Step-by-step explanation:
Complete the square
[tex]x^2+y^2+6y=7\\\\x^2+y^2+6y+9=7+9\\\\x^2+(y+3)^2=16[/tex]
The equation of a circle takes the form of [tex](x-h)^2+(y-k)^2=r^2[/tex] where its center is [tex](h,k)[/tex] and its radius is [tex]r[/tex].
Hence, the vertex is [tex](0,-3)[/tex] and the radius is [tex]4[/tex].
please helpp me with this
Answer:
585 m^2.
Step-by-step explanation:
Surface area = area of base + 4 * area of a triangular side
= 13^2 + 4 * 1/2 * 13 * 16
= 169 + 26 * 16
= 585
Answer:
585 m²
Step-by-step explanation:
The surface area of the given pyramid is made up of 4 congruent triangles and a square base.
Area of a triangle = 1/2 × base × height
= 1/2 × 13 × 16
= 104 m²
Area of a square = (base edge)²
= 13²
= 169 m²
Total Surface Area = area of 4 triangles + area of base square
= (4 × 104) + 169
= 416 + 169
= 585 m²
A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.
Answer:
Option (C)
Step-by-step explanation:
Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).
From the graph attached,
Domain of f(x) → Set of all real numbers
Range of f(x) → y-values > 0
Domain of [tex]y > 0[/tex] → Set of all real numbers
Range of [tex]y > 0[/tex] → y < 2
Therefore, domain of both the functions is a set of all real numbers.
Option (C) is the correct option.
Answer:
Its c
Step-by-step explanation:
I just did the test on edge
if you have a 12 side die and a 6 side die what is the probrability it lands on 5
Answer:
For the 12 sided one it would be 1/12
For the 6 sided one it would be 1/6
Combine those together and it would be 3/12 which is equal to 1/4
Step-by-step explanation:
Write 3 16/15 as a percent.
Answer:407%
Step-by-step explanation:
What is the simplest form of StartRoot 3,025 EndRoot?
16
55
52(112)
52+(112)
What is the area of the regular polygon shown below?
A sphere is properly defined as a ball
Answer:
Yes
Step-by-step explanation:
Some examples:
1. Bowling balls
2. Basketball balls
3. Volleyball balls
4. Tennis balls
A triangle has sides with lengths of 10 millimeters, 25 millimeters, and 28 millimeters, is it a right triangle
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Let's take it as,
→ Hypotenuse = 28 mm
→ Perpendicular = 25 mm
→ Base = 10 mm
Now use Pythagoras theorem,
→ Hypotenuse² = Perpendicular² + Base²
→ 28² = 25² + 10²
→ 784 = 625 + 100
→ 784 ≠ 725
→ [ LHS ≠ RHS ]
Hence, it does not forms a right triangle.
Solve the system of two linear inequalities graphically.
2x +4y <-16
x ≥ 2
graph the solution set of the first linear inequality
Answer:
See attachment
Step-by-step explanation:
Isolate y in the first inequality:
[tex]2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\[/tex]
Now, with both x and y inequalities found, graph it.
14. Joe just purchased an oddly shaped piece of property, depicted in the figure below. 10 yds 13 yds I 12 yds 15 yds 24 yds What is the area, in square yards, of Joe's new property?
The Area of Piece of Land is = 150 +[tex]24\sqrt{11}[/tex] squared yards
What is Area of Trapezium?The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them.
As the yard is in shape of Trapezium.
We have to find the area of trapezium.
Area of piece of property = Area of Triangle + Area of rectangle + Area of Triangle
Area of Triangle I,
base = [tex]\sqrt{(13)^{2}{-(12)^{2}}[/tex] = [tex]\sqrt{169-144}[/tex]= 5yds
Area = [tex]\frac{1}{2}*b*h[/tex]
=0.5 x 5 x 12
= 30 squared yds
Area of rectangle = length x breadth
= 10 x 12
= 120 squared yds
Area if Triangle II, base = [tex]\sqrt{(15)^{2}{-(7)^{2}}[/tex]= [tex]\sqrt{225-49}[/tex]= [tex]4\sqrt{11}[/tex]
Area= [tex]\frac{1}{2}*b*h[/tex]
=0.5 x [tex]4\sqrt{11}[/tex] x 12
= [tex]24\sqrt{11}[/tex] squared yds
Area of piece of land = 30 + 120 + [tex]24\sqrt{11}[/tex]
= 150 +[tex]24\sqrt{11}[/tex] squared yards
Hence, the area of piece of land= 150 +[tex]24\sqrt{11}[/tex] squared yards
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Use the quadratic formula to solve the equation.
y^2 + 7 = 6y
How do I find both answer for this question??
Answer:
(a) 46°
(b) 86°
Step-by-step explanation:
When the secants cross externally (figure a), the angle where they cross is half the difference of the subtended arcs.
When they cross internally (figure b), the angle is half the sum of the subtended arcs.
__
(a)Half the difference of arcs VW and VX is ...
∠VYW = 1/2(160° -68°) = 46°
m∠VYW = 46°
__
(b)Half the sum of arcs AB and CD is ...
∠CED = 1/2(arc AB +arc CD)
2×∠CED = arc AB +arc CD . . . . . multiply by 2
2×∠CED -arc AB = arc CD . . . . . subtract arc AB
arc CD = 2×85° -84° = 86°
m arc CD = 86°
What is the surface area, in square inches, of the square pyramid?
Answer:
261 in²
Step-by-step explanation:
The surface area of a square pyramid can be found from the formula ...
A = s(s +2h)
where s is the side length of the base and h is the slant height of a face.
__
For s = 9 in, and h = 10 in, the surface area is ...
A = (9 in)(9 in +2×10 in) = (9·29) in² = 261 in²
The surface area of the square pyramid is 261 square inches.
