Calculate the value of x for the following equations. Show your working.
Answer:
0.86603 is the answer of the question
Answer:
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Given
64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )
64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27
64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27
64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27
64 x³ = 27 ( divide both sides by 64 )
x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )
x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]
If g(x) = (x + 2)/3, find g(-8).
Answer:
-2
Step-by-step explanation:
Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2
Answer:
g(- 8) = - 2
Step-by-step explanation:
To find g(- 8) substitute x = - 8 into g(x) , that is
g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
I need help ASAP!!Please explain how to do the problem
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
if a = 4 - √15, find a^4 +1\a^4
Hey! Please answer this question with steps. I will mark you brainliest.
Random answers like 'sdfgh' or wrong answers will be reported
Answer:
[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Step-by-step explanation:
[tex]a=4-\sqrt{15}[/tex]
[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
Help me please, this all is of 4 marks
Step-by-step explanation:
1) 250 n(tnc)
2) 100
this your answer
Which of the following characteristics best describes the given function of
f(x) = -2x + 5 ?
A) minimum, always decreasing, exponential function
B) minimum, always decreasing, linear absolute value function
C) no maximum or minimum, always increasing, linear function
D) no maximum or minimum, always decreasing, linear function
Answer:
D
Step-by-step explanation:
the Negative sign in front of 2 shows the function is decreasing
10 pipes can fill a tank in 16 minutes,in how many minutes would 8 pipes fill the same tank ,proportion question
Answer:
Hello,
Step-by-step explanation:
The volume of the tank is V, p is number of pipes, t the time, k as constant.
V=k*p*t
V=k*10*16 ==> k=V/160
V=k*8*t
V=V/160*8*t ==>1=8/160*t ==> t=160/8=20
Time to use: 20 min.
Which diagram shows lines that must be parallel lines cut by a transversal?
Answer:
Step-by-step explanation:
B
The first diagram shows lines that must be parallel lines cut by a transversal.
Given that, two diagrams out of which we are to select the one which shows lines must be parallel lines cut by a transversal.
In the first figure, the sum of two interior angles is given by
115° + 65° = 180°
which shows that the two lines cut by a transversal are parallel.
So, this option is correct.
In the second figure, the sum of two angles on a straight line is given by
115° + 65° = 180°
which shows that a straight angle is of measure 180°, which does not have any relation in proving the two lines to be parallel.
So, this diagram is not correct.
Thus, the first diagram is the correct option.
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please please jhelp me....
Answer:
2·v - (u + w) = (5, 0, -10)
Step-by-step explanation:
The given values of the vectors are;
u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)
The required vector is 2·v - (u + w)
2 × v = 2 × (4, 0, -2) = (8, 0, -4)
(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)
Therefore;
2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)
2·v - (u + w) = (5, 0, -10)
This...ik what mean is I'm just trying to find what the original numbers would be?
Answer:
17.5
Step-by-step explanation:
all the 10 numbers added together equal 10*16 = 160
-this is because all of the numbers added, and then divided by 10 equals 16
so the numbers in total, added equal 160.
subtract 20 (7+13) from 160 = 140
divide by 8
140/8 = 17.5
Find the value of the constant m √150 - √12m + √54 = 0
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?
Answer:
6 choose 3 = 20
Step-by-step explanation:
[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]
6 choose 3 = 20
The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school
Total number of fruits = 1+1+1+1+1+1
Total number of fruits = 6
n = 6
He wants to bring three pieces of fruit to school,
r = 3
Total combination:
= C(6, 3)
= 6!/(6-3)!3!
= 720/(6)(6)
= 720/36
= 20 combination
Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.
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Given that QR¯∥ST¯, identify the length of PT¯.
Answer:
PT = 16.3 units
Step-by-step explanation:
From the picture attached,
From ΔPQR and ΔPST,
QR ║ST [Given]
PQ is a transversal line.
Therefore, ∠PST ≅ ∠PQR [Corresponding angles]
∠P ≅ ∠P [Common angle]
ΔPQR ~ ΔPST [By AA property of similarity of two triangles]
Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.
[tex]\frac{PQ}{PS}=\frac{PR}{PT}[/tex]
[tex]\frac{12+28}{28}= \frac{PT+7}{PT}[/tex]
[tex]\frac{40}{28}=1+\frac{7}{PT}[/tex]
[tex]\frac{10}{7}-1=\frac{7}{PT}[/tex]
[tex]\frac{10-7}{7}=\frac{7}{PT}[/tex]
PT = [tex]\frac{49}{3}[/tex]
PT = 16.3 units
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
Need help asap, thanks :)
Answer:
937
425
Step-by-step explanation:
9 is the square of 3
7 is 1 more than 6, the double of 3
4 is the square of 2
5 is 1 more than 4, 2x 2
Is there more?
Answer:
425
Step-by-step explanation:
1st = 2^2
3rd = 2*2 + 1
10.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.
Answer:
120
Step-by-step explanation:
white : blue : green
5 :4 :1
48 are blue
48/4 = 12
Multiply each by 12
white : blue : green
5*12 4*12 1*12
60 48 12
Add the numbers together to get the total
60+48+12
120
please show work it’s for calc
Answer:
-93
Step-by-step explanation:
This is just.a matter of using a couple of integration rules and plugging in then using order of operations.
Difference rule and constant multiple rule will be used here.
3(-17)-7(6)
-51-42
-93
Answer:
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]
[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]
[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Find the value of x. Round to the nearest tenth
Step-by-step explanation:
use cos since we're given the adjacent and asked to find the hypothenus.
cos 33° = 6/x
cross multiply
xcos33° = 6
divide both sides by cos 33°
(cos 33 is approximately 0.8387)
then x = 7.15
Answer:
[tex]x \approx 7.2[/tex]
Step-by-step explanation:
The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.
In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
Inverse operations,
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
[tex]hypotenuse=\frac{6}{cos(33)}[/tex]
[tex]hypotenuse \approx 7.15[/tex]
(SAT Prep) Find the value of x
Answer:
55°Step-by-step explanation:
It should be:
x - 25 = 45 - 15x = 30 + 25x = 55How do you find the diameter of a quarter circle?
Answer:
um 1/4
Step-by-step explanation:
If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answer:
It's answer is 200 cents bun not sure
Evaluate the following expression 2x - |4 - 7x| when x = -3
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
monica has $340 in the bank and plans to save $10 per week. is this linear or exponential?
Answer:
linear. Each week adds another 10 dollars.
Step-by-step explanation:
Total = 340 + 10*w
w is the weekly amount
Suppose 5 weeks pass
Then the total amount in her bank account is
Total = 340 + 10*5
Total = 340 + 50
Total = 390
The equation is Linear.
Identify the sample space of the probability experiment: shooting a free throw in basketball.
The sample space of the probability experiment: shooting a free throw in basketball. is [tex]n(X)=2[/tex] from the calculations below
Sample space:In probability theory, the sample space (also called sample description space of an experiment or random trial is the set of all possible outcomes of the experiment.
Let
The sample space for a player shooting single free throws be equal to X
Let Scored free throws be A
And missed free throws be B
Generally the possible outcomes is mathematically given as
[tex]X=(A,B)[/tex]
Therefore
In conclusion the Sample space of the probability experiment of shooting a free throw in basketball is
[tex]n(X)=2[/tex]
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