Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle
What is the solution to the equation |x − 4| = 17?
[tex]~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13[/tex]
Need one person help for math Plato class
Answer:
The answer is B. 13.7 inches
i hope this can help you! :)
What is the sum of the first 40 positive odd integers?
Answer:
1600
Step-by-step explanation:
[tex]\text{Number of terms}, ~n = 40\\\\\text{Sum of n odd integers} = n^2 = 40^2 = 1600[/tex]
Will works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Will sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?
A
12
B
8
C
30
D
18
Answer:
d
Step-by-step explanation:
12÷2×3=18
..........
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
The directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
How to determine the equation of the directrix?The parabola equation is given as:
[tex]\frac 14(y + 3) = (x -2)^2[/tex]
A parabola is represented as:
[tex]4p(y - k) =(x -h)^2[/tex]
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
[tex]y = -3 - \frac 1{16}[/tex]
Take the LCM
[tex]y = \frac {-16 * 3- 1}{16}[/tex]
Evaluate
[tex]y = \frac {-49}{16}[/tex]
Hence, the directrix of the parabola is [tex]y = \frac {-49}{16}[/tex]
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I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
What is the total number of different 9-letter arrangements that can
be formed using the letters in the word Projector?
Let D = D(R), where Þ(u, v) = (u², u + v) and
R = [1, 8] × [0, 6].
Calculate
y dA.
Note: It is not necessary to describe D.
Joyda
=
The region [tex]D[/tex] is essentially parameterized in three dimensions by
[tex]\Phi(u,v) = (u^2, u+v, 0)[/tex]
with [tex]1\le u\le8[/tex] and [tex]0\le v\le6[/tex].
The normal vector to [tex]D[/tex] is
[tex]\vec n = \dfrac{\partial\Phi}{\partial u} \times \dfrac{\partial\Phi}{\partial v} = (0,0,2u)[/tex]
with norm [tex]\|\vec n\| = 2u[/tex].
Then the surface integral is
[tex]\displaystyle \iint_D y \, dA = 2 \int_0^6 \int_1^8 (u+v)u \, du \, dv \\\\ = 2 \int_0^6 \left(\frac{1022}3 + 63 v\right) \, dv = \boxed{3178}[/tex]
how do you get 14 divided by 9 as a decimal
Answer:
14 divided by 9 = 1.5
The result of 14/9 is a non-terminating, repeating decimal.
Answer:
1.56 [?]
this question's wording was slightly confusing but I think this is what you meant
Step-by-step explanation:
by dividing the two numbers, (you can use long division or a calculator) while they are not in a fraction state (don't rewrite it as [tex]\frac{14}{9}[/tex], actually divide
14 by 9) you will end up with a number:
1.55555556
(repeating decimal)
So, you can either write this as 1.5 with a little dash over the 5
Or, you can round the decimal to 1.56 .
(method: by actual division)
Use the functions a(x) = 7x + 10 and b(x) = 12x - 18 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (8 points) Part B: Find (a - b) (x). Show your work. (8 points) Part C: Find (a - b)(x). Show your work. (9 points) Part D: Find a(b(x)]. Show your work. (10 points)
a) [tex](a+b)(x)=a(x)+b(x)=7x+10+12x-18=\boxed{19x-8}\\[/tex]
b) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]
c) [tex](a-b)(x)=a(x)-b(x)=(7x+10)-(12x-18)=7x+10-12x+18=\boxed{-5x+28}[/tex]
d) [tex]a(b(x))=a(12x-18)=7(12x-18)+10=84x-126+10=\boxed{84x-116}[/tex]
Find the quotient and remainder using long division.
x + x - 13
x - 2
The quotient is
The remainder is
Answer:
[tex]\text{The quotient is}~ x^2 +2x +5 \\\\\text{The remainder is}~ -3[/tex]
Step-by-step explanation:
Jessie is painting a cardboard box for a school project and needs to know much paint she needs to cover the box.
6n
10 in.
Answer:
incomplete question
Step-by-step explanation:
in order to calculate for the surface area of a rectangular box we would need 3 measurements:
length
width
height
you only provided 2
find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21
Answer:
for a) the next three would be 36, 49 and 64
for b) the next three would be 25, 36 and 49
for c) the next three would be 13, 16, and 19
for d) the next three would be 27, 33, and 39
Step-by-step explanation:
Answers:
(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39========================================================
Explanations:
(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39There is a rack of 11 billiards balls, numbered from 1 to 11. If one ball is selected at random, determine the odds in favor of it being at an even-number ball.
Answer:
5/11 odds / 45.45% chance of being even-numbered
Step-by-step explanation:
There are 5 even-numbered balls (2, 4, 6, 8, 10) and 6 odd-numbered balls (1, 3, 5, 7, 9, 11). So, 5 / 11 balls are even-numbered
if a ball is selected, it has a chance of 5/11 for being even-numbered
5/11 also = 45.45 % [rounded] chance of being even-numbered
Ivan bought a $1000 bond with a 4.5% coupon that matures in 30 years. What
are Ivan's annual earnings for this bond?
A. $45.00
B. $25.00
C. $4.50
D. $22.50
Ivan's annual earnings for this bond is $45.00
What is a bond?A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.
Ivan's annual interest earning would be :
= $1,000 x 4.5 %
= $45 per year
Hence, Ivan's annual earnings for this bond is $45.00
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2007 Federal Income Tax Table Single: Over But not over The tax is $0 $7,825 10% of the amount over $0 $7,825 $31,850 $788 + 15% of the amount over $7,825 $31,850 $77,100 $4,386 + 25% of the amount over $31,850 $77,100 $160,850 $15,699 + 28% of the amount over $77,100 $160,850 $349,700 $39,149 + 33% of the amount over $160,850 $349,700 And Over $101,469 + 35% of the amount over $349,700 Aaron Priest had a taxable income of $165,000. He figured his tax from the single taxpayer table above. 1. Find his earned income level. 2. Entered the base amount. = $ 3. Found the amount over $ = $ 4. Multiplied line 3 by % = $ 5. Added Lines 2 and 4 = $ 6. Computed his monthly withholding would be = $
Answer:
$160850
Step-by-step explanation:
An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?
Answer:
y = $3.75(x) + .45$
Step-by-step explanation:
Take the input and subsitute
what is the answer to this
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
Which of the following is an example of an exponential function?
A.)f(x) = 4x3 + 2x2 – 3x + 9
B.) g(x) = log2(x)3
C.) h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
D.) p(x) = 500(1.02)x
Answer: D
Step-by-step explanation:
An example of exponential function is p(x) = 500(1.02)x Option D
Which of the following is an example of an exponential function?An exponential function is a mathematical function of the form f(x) = [tex]a * b^x[/tex], where 'a' and 'b' are constants, and 'x' is the variable. The function p(x) = [tex]500(1.02)^x[/tex] is in this form
Where 'a' is 500, 'b' is 1.02, and 'x' is the variable.
The variable 'x' is an exponent, which makes it an exponential function. Option D
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Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
if it's diameter is 19, then its radius must be half that, or 9.5.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3[/tex]
Which line on the graph could represent this scenario?
a(x)
f(x)
g(x)
h(x)
Answer: g(x)
Step-by-step explanation:
8.92 x 10^6 in scientific notation
Answer:
8.92 * 10^10
Step-by-step explanation:
1. Convert to decimal notation
[tex]8.92*10^6[/tex]
The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):
8.92 -> [tex]8920000[/tex]
2. Final result
[tex]8920000[/tex]
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.
8.92 * 10^10
----------------------------------------------
Why learn thisScientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is [tex]1.898*10^{27}[/tex]kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.
---------------------------------------------
Terms and topicsScientific NotationScientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.
describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answer:
here man that's the answer
Which of the following functions is graphed below?
Answer:
A.
Step-by-step explanation:
the correct answer is A. y=|x-2|+3.
For more details see the attachment.
A rectangular prism is 25 inches wide, 5 inches long and 6 inches high.
What is the exact volume of the prism?
125
Answer:
750
Step-by-step explanation:
FORMULA FOR VOLUME
L×W×H
L:5
W:25
G:H
5x25x6=750
I really need help with this
2a - (a + 3) I need Answers
Answer:
a-3
Step-by-step explanation:
[tex]2a-(a+3)\\= 2a - a - 3\\= a - 3[/tex]
Answer:
a-3
Step-by-step explanation:
2a - (a+3)
removing bracket
2a -a-3
a-3
final answer
a-3This is for a test please answer
Answer:
25 = b
26 = c
Step-by-step explanation:
Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
What is cardinality of a set?The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
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