Answer:
X+Y=26
X-Y=12
Step-by-step explanation:
fiction books= X
non fiction books= Y
then,
fiction books= X
non fiction books = X-12
but Y= X - 12
from. the statement,
X+Y = 26
X-Y=12
On the day of a child's birth, a parent deposits $25,000 in a trust fund that pays 3% interest, compounded continuously. determine the balance in this account on the child's 26th birthday. (round your answer to two decimal places.)
well, on the child's 26th birthday that'll be 26 years later, so
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$25000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &26 \end{cases} \\\\\\ A=25000e^{0.03\cdot 26}\implies A=25000e^{0.78}\implies A\approx 54536.81[/tex]
Can someone tell me how to evaluate quadratic equations easily with steps (40 points)
here's an example ;^;
f(x) = 3(x + 6)2 - 75
Answer:
See below
Step-by-step explanation:
Expansion
[tex]f(x)=3(x+6)^2-75\\\\f(x)=3(x+6)(x+6)-75\\\\f(x)=3(x^2+12x+36)-75\\\\f(x)=3x^2+36x+108-75\\\\f(x)=3x^2+36x+33[/tex] <-- Stop here if this is what you need
Factorization
[tex]f(x)=3(x^2+12x+11)\\\\f(x)=3(x+1)(x+11)[/tex]
We know from vertex form that the vertex of the parabola is [tex](-6,-75)[/tex] and when factored, the zeroes are [tex]x=-1[/tex] and [tex]x=-11[/tex].
help meee :))) GIVING BRAINEST
Answer: 462 cm^3
Step-by-step explanation:
formula for triangular prisms:
0.5*b*h = V
b or base = 6*6 cm
h or height = 7 cm
7 * 6 * 6 * 0.5 = 126
V or Volume of triangular prism is 126 cm^3.
formula for rectangular prisms:
b * h = V
b or base = 8*6 cm
h or height = 7 cm
8 * 6 * 7 = 336
V or Volume for rectangular prism is 336 cm^3.
Total Volume of Composite Figure = sum of both Volumes
336 + 126 = 462 cm^3.
[tex]v = a \times b \times h \times \frac{1}{2} [/tex]
[tex]v = 6 \times 6 \times 7 \times \frac{1}{2} [/tex]
[tex]v = 126 \: {cm}^{3} [/tex]
Volume of the rectangular prism:[tex]v = whl[/tex]
[tex]v = 7 \times 8 \times 6[/tex]
[tex]v = 336 \: {cm}^{3} [/tex]
Total volume:[tex]v = 126 + 336[/tex]
[tex]v = 462 \: {cm}^{3} [/tex]
A basketball hoop is purchased for use outside. It is on a moveable
base which needs to be filled with sand before you can start to play.
The base is a rectangular prismit
measures 49 in long by 32 in wide
by 9 in tall
Solve for the amount of sand that
wif the base Show your eous-
tion and work below
Answer:
49 + 32 = 81 81 divided by 9 is 9 in
Step-by-step explanation:
Which statements describe the figure on the grid if each square has side lengths of 1 cm? Check all that apply. On a coordinate plane, a figure covers 12 full squares and 12 partial squares. The bottom of the figure is diagonal and crosses 6 squares. The perimeter of the figure is 18 cm. The length of the top of the figure is less than 6 cm. The area of the figure is the sum of 12 full squares and 12 partial squares. The area of the figure is greater than 24 square centimeters. The length of the bottom of the figure is greater than 6 cm. The area of the figure is the sum of 6 full squares and 12 partial squares.
The figure on the grid is an illustration of areas and perimeters of a shape
How to determine the true statements?The question is incomplete, as the figure is not given.
So, I will provide a general explanation on how to determine the area and the perimeter of a shape.
The area of a shape is the amount of space on that shape.
Take for instance a square that has a side length 5 units.
The area of the square would be:
Area = 5 * 5 = 25 square units
On the other hand, the perimeter is the sum of the side lengths of the shape.
Using the same square that has a side length 5 units.
The perimeter of the square would be:
Perimeter = 4 * 5 = 20 units
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Answer: its 3, 5
Step-by-step explanation: im honestly not too sure if this is the answer
Multiplication Equations
Solve the equation. Check your
solution.
1) 6n = 42
2) 3y = 192
3) 8x= 72
4) 4 = 2a
5) 7n = 112
6) 8x = 272
7) 7n = 49
8) 33y = 66
9) 6b = 96
10) 5n = 280
11) 6n = 72
Answer:
use calculator on chrome it will help u :)
Step-by-step explanation:
because then u do'nt have to wait for the answer
Answer:
Step-by-step explanation:
1) n=7
2)y=64
3)x=9
4)a=2
5)n=16
6)x=34
7)n=7
8)y=2
9)b=16
10)n=56
11)n=12
It the perimeter of an isosceles triangle is 56 units and the base is 8 units, how long are the other sides?
Elmo decided to take two classes
during summer school. For first period,
he can choose either math or English.
For second period, he can choose
either art, music, drama, or cooking.
How many different schedules of two
classes are possible?
Answer:
There are a total of 8 different schedules.
Step-by-step explanation:
In situations like these, it's best to write down all possible combinations on a tree diagram. However, I use a different way to solve problems like these. For the equation multiply the choices of the first period with the choices of the second period. 2×4=8
You can do this other problems that can include 3 choices, 4 choices, and so on.
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84. Previous Year Number of Bushels Price of Corn (dollars) 2 10 4 20 6 30 8 40 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points) Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
Answer:
Part A: Rate of change of a bushel of corn is 7
Part B: 2 dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year
Step-by-step explanation:
Let me know if you have any questions !
Express tan C as a fraction in simplest terms.
The value of the tangent of C in fraction form will be 2 / 7.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
The base of the triangle = 21The height of the triangle = 6The value of Tanc will be calculated as:-
tanC = P / B
tanC = 6 / 21
tanC = 2 / 7
Therefore the value of the tangent of C in fraction form will be 2 / 7.
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Julius is buying beverages for brunch. He needs to buy a total of 5
gallons of beverages. He decides to buy two containers of each
beverage. How many gallons of beverages did he buy?
the beverages:
2 pints of milk, 2 quarts of orange juice, 16 cups of chocolate milk, and 32 ounces of lemonade.
PLSSSSS HELLLPPP LIKE ASAP
2(4x + 1) - 3(5x - 1)
expand and simplify
Answer:
-7x + 5
Step-by-step explanation:
2(4x + 1) - 3(5x - 1)
8x + 2 - 3(5x-1)
8x + 2 - 15x + 3
8x + 5 - 15x
-7x + 5
Hope it helped !
Adriel
[tex]2\sqrt{3} *3\sqrt{8}[/tex]
the height of a cuboid is 12cm,the volume is 1200cm3 find the side of the of a cuboid
Answer:
area=volume/height
area=1200cm cubed/12cm
area=100cm squared
5. A moving car has kinetic energy. If the mass is doubled what happens to the
amount of kinetic energy? If the speed is doubled what happens to the amount
of kinetic energy?
Answer:
See below ~
Step-by-step explanation:
Change in KE if mass is doubled
KE (original) = 1/2mv²KE (new) = 1/2 x (2m) x v²KE (new) = mv²⇒ KE is doubledChange in KE if speed is doubled
KE (new) = 1/2 x m x (2v)²KE (new) = 1/2 x 4 x mv²KE (new) = 2mv²⇒ KE is quadrupledHELP PLEASEE!!!!!!!!!! ASAP!!!!!!!!!!!!!!!!
Answer:
the answer is C
Step-by-step explanation:
i know because I did this
Answer:
(2,3)
Step-by-step explanation:
if the square rotated 90 degrees clockwise, it would go to the otherside of the y-axis and B' would end up on 2,3
what are the zeros of the function represented by the quadratic expression 2x^2 + x - 3?
A: x= -3/2 and x= 1
B: x= -2/3 and x= 1
C: x= -1 and x= 2/3
D: -1 and x= -3/2
7 students have 8 books each. Which helps you find the total number of
books?
78
7 + 8
с
7-8
D
7.8
Answer:
7x8
Step-by-step explanation:
none of those seem right
4. Lou ran 72 more miles than Lee. Lou ran 128 miles. How many miles did Lee run?
60 Miles
56 Miles
144 Miles
200 Miles
can someone help me here pls thanks
NONSENSE=REPORT
Answer:
4: 264°; 5: 120°; 6: 54°; 7: 45°; 8: 87°; 9: 27°
9: x=200, y=100; 10: x=68; y=99
Step-by-step explanation:
The relations between angles and arcs in this problem set are ...
The sum of central angles in a circle is 360°The measure of an arc is the measure of the central angle it subtendsThe measure of an inscribed angle is half the measure of the arc it subtends__
B.3.no identifier is given
4.Arc DBC is the difference between a full circle (360°) and short arc DC. The measure of short arc DC is marked as 96°, so ...
arc DBC = 360° -96° = 264°
5.Αrc BC is twice the measure of the inscribed angle BDC it subtends.
arc BC = 2×60° = 120°
6.Arc AB is the difference between 360° and the sum of arcs AD, DC, and CB.
arc AB = 360° -(90° +96° +120°) = 54°
7.Angle ACD is half the measure of arc AD.
Angle ACD = 90°/2 = 45°
8.Angle ADC is half the measure of arc AC, which is the sum of arcs AB and BC
angle ADC = (54° +120°)/2 = 87°
9.Angle ACB is half the measure of arc AB
angle ACB = 54°/2 = 27°
__
C.9.x° is the arc whose central angle is 200°
x° = 200°
y° is half the measure of x°
y° = 200°/2 = 100°
10.The relations between arcs and inscribed angles mean that opposite angles in an inscribed quadrilateral are supplementary.
x° = 180° -112° = 68°
y° = 180° -81° = 99°
Please help me on this!
A teacher had 111 pens. he shared equally among 30 learners . how many pens did each learners get? how many pens remained?
Answer:
Everyone got 3 pens, 21 remained
Step-by-step explanation:
111:30=3 21/30
how do I make frequency table
Answer:
To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.
f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value of the discriminant of fff? How many xxx-intercepts does the graph of fff have?
The discriminant of the function is 120, and the function has 2 different x-intercepts
How to determine the discriminant?
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
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I will give you a CROWN!!! Also, there are 42 points!!! Can somebody please help?
By the angle sum property of a triangle, the value of x would be equal to 9.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The sum of the triangle of angles is 180.
6x + 56 + 38 + t = 180
t = 180 - 94 - 6x
t = 86 - 6x
By linear pair
10x + 58 + t = 180
10x + 58 + 86 - 6x = 180
4x + 144 = 180
4x = 180 - 144
4x = 36
x = 9
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find an angle between 0 and 2\pi that is coterminal with -5pi/12
Check the picture below.
Use an identity to find the value of
Answer:
[tex] \bigodot\: - \sin\theta.[/tex]
Step-by-step explanation:
We know that:cos (A + B) = cos A . cos B - sin A . sin B[tex] \implies \cos (\theta +90\degree) =\cos\theta.\cos 90\degree - \sin\theta.\sin 90\degree[/tex][tex] \implies \cos (\theta +90\degree) =\cos\theta.0 - \sin\theta.1[/tex] [tex] \implies \cos (\theta +90\degree) =0 - \sin\theta.[/tex] [tex] \implies \cos (\theta +90\degree) = - \sin\theta.[/tex]Find the mean, median, and mode(s) of the data. Do not round.
Please show work!
48, 12, 11, 45, 48, 48, 43, 32
The mean is
.
The median is
.
The mode is
Please show work!
The mean , median and mode of the data are 35.875, 44 and 48
How to find mean , median and mode?The mean, median and mode can be found as follows:
mean = sum of terms / number of terms
mean = 48 + 12 + 11 + 45 + 48 + 48 + 43 + 32 / 8
mean = 287 / 8 = 35.875
11, 12, 32, 43, 45, 48, 48, 48
The median is the centre number.
Hence,
median = 43 + 45 / 2 = 88 / 2 = 44
The mode is the number that appears most which is 48.
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The Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.
What is Arithmetic mean?Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.
Mean = Sum total of the number ÷ n
Where n is number of numbers
Given the sets;
48, 12, 11, 45, 48, 48, 43, 32n = 8First, we arrange in ascending order.
11, 12, 32, 43, 45, 48, 48, 48
Mode
Mode is the number with the highest appearance
Number with highest appearance or frequency is 48 ( 3 appearance )
Mode = 48
Median
Middle numbers fall between 43 and 45
Median = ( 43 + 48 ) / 2
Median = 88 / 2
Median = 44
Mean
We add the numbers
11 + 12 + 32 + 43 + 45 + 48 + 48 + 48 = 287
Mean = Sum total of the number ÷ n
Mean = 287 / 8
Mean = 35.875
Therefore, the Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.
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how me solve this problem please
Answer:
3 3/4
Step-by-step explanation:
The area of rectangle patio=5 5/8
Length=1 1/2
5 5/8 divided by 1 1/2= 3 3/4
Find the total surface area of the following square pyramid
Answer:
160 cm^2.
Step-by-step explanation:
Surface area = area of base + 4 * area of triangular side.
= 8^2 + 4 * 1/2 * 8 * 6
= 64 + 96
= 160 cm^2.
Answer:
179.38cm²
Step-by-step explanation:
By using the formula, it is 179.38cm.