Answers
Answer:
23: 21[tex]\frac{23}{55}[/tex] 25: 1[tex]\frac{44}{45}[/tex]
Step-by-step explanation:
Question 23:
1) add the whole numbers together: 15+5=20
2)To add fractions, both need to have the same denominator. Find a number that is a multiple of both denominators (in this case 55)
[tex]\frac{9}{11}[/tex] → [tex]\frac{45}{55}[/tex] (multiply the numerator and denominator by 5)
[tex]\frac{3}{5}[/tex] → [tex]\frac{33}{55}[/tex] (multiply the numerator and denominator by 11)
3) add the fractions together
[tex]\frac{45}{55}[/tex] + [tex]\frac{33}{55}[/tex] = [tex]\frac{78}{55}[/tex] (add the numerators)
4) Turn the improper fraction into a mixed number
Divide 78 by 55. You'll get a whole number and a remainder. The remainder is the new numerator: In this case 55 enters 78 once with a remainder of 23. Therefore:
1[tex]\frac{23}{55}[/tex]
5) Add the whole numbers together to get the final answer:
20+1= 21
Answer: 21[tex]\frac{23}{55}[/tex]
Question 25:
Follow the above steps but subtract instead of adding
Related Questions
A company claims that its tablet computers have an average recharge time of 3 hours. In a random sample of these computers, the average recharge time is 2.5 hours. You suspect that the average recharge time might be less than what the company claims. Let µ represent the average time, in hours, needed to recharge the company's tablet computers.
What is the alternative hypothesis for this situation?
DONE | Second option
Answers
The alternative hypothesis in this situation is An hypothesis is u < 3.
What is the alternative hyothesis?An hypothesis is a temporary explanation to a phenomena. The explanation is either disproved by carrying out tests. Alternative hypothesis states that there is a relationship between the population parameters.
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Answer:
U=3
Step-by-step explanation:
next - U<3
next - alternative
sugmah
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0
Answers
Answer:
2x + 3y - 5 = 0
Step-by-step explanation:
(4 , -1) & (-2,3)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]
m = -2/3; (4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]
Multiply the equation by 3
3y + 3 = -2x + 8
3y = -2x + 8 - 3
3y = -2x + 5
2x + 3y - 5 = 0
Kevin and Amy are working on an experiment in the
science lab. They start with 2.6 grams of oil and add water
to get exactly 4.32 grams of solution. To find the amount
of water added, they subtract the weight of the oil from the
weight of the solution. Kevin calculates the difference to
be 4.06 grams; Amy calculates it to be 1.72 grams.
Answers
Answer:
Amy is right
Step-by-step explanation:
4.32-2.6 = 1.72
Answer:
Amy is correct
Step-by-step explanation:
4.32-2.6 = 1.72
HURRYYY please pleaseee
Answers
Please hurry I will mark you brainliest
The lines in which pair are parallel?
Answers
Answer:
C.
Step-by-step explanation:
Neither equation has a different slope, so they are parallel.
Simplify the expression to lowest terms.
4x2-9/2 x2 + 11 x +12
Answers
The function g(x) is a transformation of the cube root parent function,
f(x) = yx. What function is g(x)?
g(x)
5
f(x)
5
-5
A. g(x) = 47x
B. g(x) = x + 4
O c. g(x) = x +4
O d. g(x) = 1 va
Answers
Answer: Choice A
Explanation:
Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".
So we can say,
g(x) = 4*f(x)
[tex]g(x) = 4*\sqrt[3]{x}[/tex]
This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.
-------------
Side notes:
Choices B and C handle vertical and horizontal translations (aka shifting) in that order.Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.The function g(x) is a transformation of the cube root parent function f(x) is [tex]g(x)=4\sqrt[3]{x}[/tex]. Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".
So we can say,
g(x) = 4f(x)
[tex]g(x)=4\sqrt[3]{x}[/tex]
This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.
Choices B and C handle vertical and horizontal translations (aka shifting) in that order.
Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.
Therefore, option A is the correct answer.
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which ordered pair is the best estimate for the solution to the system?
Answers
Answer:
(-2, 5)
Step-by-step explanation:
Plug each ordered pair in both equations and see if they fit in BOTH equations.
first answer gets marked brainliest!!!
Answers
Answer:
in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s
hope that helps ❤
state the dimensions of the matrix. identify the indicated element
Answers
Answer:
A
Step-by-step explanation:
In a matrix we go by row, then column so 2 rows and 3 columns
HELP QUICK PLEASE!
Which additional information would suffice to prove AJKM AKIL by Side-Angle-Side?
O MK LJ
O MJ | LK
O ZJMKZKLJ
O ZJKM ZKIL
Answers
Answer: MK is congruent to LJ
Step-by-step explanation: If the legs of the triangle are equal then that must mean the hypotenuses are as well.
How bad is my friend’s handwriting
Rate from 1-10
Answers
Answer:
6
Step-by-step explanation:
Not bad, i can read it. Mines worse xd
HELPPP ME OUTTTTTT!!!!!!!
Answers
Answer:
3/5
Step-by-step explanation:
cos A = adjacent side / hypotenuse in a right triangle
cos A = 24/40
Cos A = 6/10
cos A = 3/5
Help me plz I need help
Answers
Answer:
x = 14°
Step-by-step explanation:
x + 76° = 90°
or, x = 90° - 76°
so, x = 14°
SOMEONE HELP ME PLEASE
Answers
Answer:
9/10 or 90 %
Step-by-step explanation:
There are 54+27+5+4 total people = 90
The people with diploma is 54+27 = 81
P (diploma) = number with diploma / total
= 81/90
=9/10
90%
solution region of inequalities x≥ 0 and y≤0 lies in which quadrant?
Answers
9514 1404 393
Answer:
IV
Step-by-step explanation:
x > 0 in quadrants I and IV.
y > 0 in quadrants I and II.
The quadrant in which x > 0 and y < 0 is quadrant IV.
_____
The axes, x=0 or y=0, are in no particular quadrant. They are the boundaries between quadrants.
please help solve this (geometry)
Answers
Answer:
∠ 3 = 140°
Step-by-step explanation:
∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then
∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°
Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.
Answers
Answer:
b)48 km/hr (12 km in .25 hrs)
c) avg speed: 60/3 = 20 km/hr
Step-by-step explanation:
a)
.5 18
.75 18
1 30
1.5 30
2 40
2.25 40
3 60
A is 2 times older than B. Identify the appropriate expression.
Answers
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
Find the domain of the function 8x - 2y=8
Answers
Step-by-step explanation:
it is from minus infinity to infinity
What number should be added to both sides of the equation to complete the square?
X^2+126= 11
Answers
Answer:
126/2 = 63^2
Step-by-step explanation:
Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST
Answers
04
-15
-10
Integers cant be fractions, decimal amounts, or expressions
Reason: integers cannot be mixed numbers/decimals
What is the 8th term of the binomial expansion (x + y) ^10?
Select the correct answer.
A. 120x^7y^3
B. 720x^7y^3
C. 720x^3y^7
D. 120 x^3y^7
Answers
Answer:
It is Option D. 120 x^3 y^7
Option D is correct i.e. the eighth term of the given expansion is [tex]120x^{3} y^{7}[/tex].
What is binomial theorem?The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.
Binomial expressionA binomial expression is an algebraic expression that contains two dissimilar terms .
Formula for finding the general term in binomial expansion[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]
According to the given question
We have,
The binomial expansion [tex](x+y)^{10}[/tex]
Therefore,
The eighth term of the given binomial expansion is given by
[tex]T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}[/tex]
[tex]T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}[/tex]
[tex]T_{8} = 120x^{3} y^{7}[/tex]
Hence, option D is correct. i.e. the eighth term of the given expansion is [tex]120x^{3}y^{7}[/tex].
Learn more about the binomial expansion here:
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Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
Answers
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
Solve The Inequality
Answers
Answer:
B
Step-by-step explanation:
I just solved it now
you are welcome
Answer:
x∈[13,+∞]
Step-by-step explanation:
x≥13
the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower
Answers
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answers
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
(1 / 7 - 4√3)^3 + (1 / 7 + 4√3)^3
Answers
Given:
The expression is:
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
To find:
The simplified form of the given expression.
Solution:
Formulae used:
[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]
[tex](a-b)^3=a^3+3a^2b+3ab^2+b^3[/tex]
Adding this formulae, we get
[tex](a-b)^3+(a+b)^3=2a^3+6ab^2[/tex] ...(i)
We have,
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
Using formula (i), the given expression can be written as:
[tex]=2\left(\dfrac{1}{7}\right)^3+6\left(\dfrac{1}{7}\right)\left(4\sqrt{3}\right)^2[/tex]
[tex]=2\times \dfrac{1}{343}+6\left(\dfrac{1}{7}\right)48[/tex]
[tex]=\dfrac{2}{343}+\dfrac{288}{7}[/tex]
[tex]=\dfrac{2+14112}{343}[/tex]
[tex]=\dfrac{14114}{343}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{14114}{343}[/tex].
Please help me with this
Answers
Answer:
A
Step-by-step explanation:
the line I is a tangent to the circle x^2+y^2=50 at the point A. A is the point (1,7). the line crosses the x axis at the point p. work out the area of triangle oap 
Answers
Answer:
what do you need help with
Step-by-step explanation:
