Answer:
find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.
Step-by-step explanation:
Help with 12 please
12.
[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]
This is the answer.
Hope it helps!!
plz help me out with the answer and explaination
Answer:
7500 m
Step-by-step explanation:
5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500
Can someone help me with this math homework please!
Answer:
[tex]j = - 0.45[/tex]
Step-by-step explanation:
Combine like terms and apply the rules of algebra.
[tex]2.25 - 11j - 7.75 + 1.5j = 0.5j - 1[/tex]
[tex] - 5.5 - 9.5j = 0.5j - 1[/tex]
[tex] - 9.5j = 0.5j + 4.5[/tex]
[tex] - 10 j= 4.5[/tex]
[tex]j = - 0.45[/tex]
Answer: j = -0.45
Step-by-step explanation:
Step 1: Combine like terms
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
-5.5 - 9.5j = 0.5j - 1
Step 2: isolate your variable
-5.5 - 9.5j = 0.5j - 1
Subtract 0.5j from both sides
-5.5 - 10j = -1
Add 5.5 to both sides
-10j = 4.5
Divide both sides by -10
j = -0.45
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 52.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{36}{28}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{36}{28}[/tex] ) ≈ 52.1° () to the nearest tenth )
Find the value of the constant a for which the polynomial x^3 + ax^2 -1 will have -1 as a root. (A root is a value of x such that the polynomial is equal to zero.)
Answer:
[tex]{ \bf{f(x) = {x}^{3} + {ax}^{2} - 1 }} \\ { \tt{f( - 1) : {( - 1)}^{3} + a {( - 1)}^{2} - 1 = 0}} \\ { \tt{f( - 1) : a - 2 = 0}} \\ a = 2[/tex]
The polynomial function [tex]$x^3 + ax^2 -1[/tex] will have -1 as a root at the value of
a = 2.
What is a polynomial function?A polynomial function exists as a function that applies only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given: A root exists at a value of x such that the polynomial exists equivalent to zero.
Let, the polynomial equation be [tex]$x^3 + ax^2 -1[/tex]
then [tex]$\mathbf{f}(\mathbf{x})=\mathbf{x}^{3}+a \mathbf{x}^{2}-\mathbf{1}$[/tex]
Put, x = -1, then we get
[tex]$\mathbf{f}(-1)=(-1)^{3}+\mathrm{a}(-1)^{2}-1=0$[/tex]
f(-1) = a - 2 = 0
a = 2
Therefore, the value of a = 2.
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Directions: Given the point and slope, write the equation of the line.
(4, 2); slope = 36
Answer:
y - 2 = 36(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 36 and (a, b ) = (4, 2 ) , then
y - 2 = 36(x - 4) ← equation of line
help and explain ///////////////////////////
Hello,
First, you must understand that
(f-g)(x) means f(x)-g(x) it is the difference of two functions :
f(x)=2x+4 and g(x)=3x-7
f(5)=2*5+4=10+4=14
g(5)=3*5-7=15-7=8
So, (f-g)(5)= f(5)-g(5)=14-8=6
Answer A: none of the choices are correct.
An other way to do it:
(f-g)(x)=f(x)-g(x)=2x+4-(3x-7)= 2x-3x+4+7=-x+11
if x= 5 then (f-g)(5)=-5+11=6
álgebra 1
− 0.32 + 0.18 = 0.25 − 1.95
Answer:
i don't understand the question
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
2.1 One Step Equations
1) 4p = 68
2)x - 1 = -9
3) -25 = K - 17
4) 20n = 300 5) -17 + x = -196) 10b = -10
7)r - 11 = -27 8) -11n = -55
9) -120 = -8x
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
I
Which is a simplified form of the expression -4(n + 1) – (n + 2)?
A. 2n + 3
B. -3n - 2
C. -4n - 5
D. -5n - 6
Answer:
the answer is D
Answer:
D. - 5n - 6
Step-by-step explanation:
- 4 ( n + 1 ) - ( n + 2 )
= - 4n - 4 - n - 2
= - 4n - n - 4 - 2
= - 5n - 6
write the expression that represents the phrase: the quotient of 10 and x
Answer:
Step-by-step explanation:
[tex]Quotient \ of \ 10 \ and \ x = 10 \div x[/tex]
PLEASE HELP PLEASE!!!!! NO LINKS!!!
Answer:
Step-by-step explanation:
a) profits = 30,000 + (30,000 * .05 * years)
P(y) = 30,000 + 1500y
b) P(15) = 30,000 + 1500*(15)
P(15) = 52,500
If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .
Answer:
[tex]2y^2-7y+6=0[/tex]
Step-by-step explanation:
We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]
[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]
We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].
General quadratic equation
[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]
We get
[tex]\alpha+\beta=\frac{7}{6}[/tex]
[tex]\alpha \beta=\frac{1}{3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]
Substitute the values
[tex]y^2-(7/2)y+3=0[/tex]
[tex]2y^2-7y+6=0[/tex]
Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by
[tex]2y^2-7y+6=0[/tex]
In an office there was a small cash box.One day ann took half of the money plus$1 more.Then dan took half of the remaining money plus$1 more.Stan then took the remaining $11.How many dollars were originally in the box?
Answer:
this as a equation looks like this
-1/2x+1+x=11
1/2x=10
x=20
Hope This Helps!!!
20 dollars were originally in the box
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
In an office there was a small cash box.
One day ann took half of the money plus$1 more
Then dan took half of the remaining money plus$1 more
Stan then took the remaining $11
-1/2x+1+x=11
Subtract 1/2x from both sides
1/2x=10
Multiply 2 on both sides
x=20
Hence, 20 dollars were originally in the box
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URGENT PLS ANSWER QUICKLY
Answer:
9th is 44 mark me as brainlist
Answer:
Question 9 is perimeter
Help me to find the product plz (opt math)
Answer:
hope it helps.stay safe healthy and happy...Answer:
[tex]\left(sin\theta -cos\:a\right)\left(cos\:a+sin\theta \right)[/tex]
(sin(θ)-cos(a))(cos(a)+sin(0))
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
a=sin(θ),b=cos(a)
= sin²(θ)-cos²(a)
-------------------------------
hope it helps...
have a great day!!
• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form
Answer:
5 3/5
Step-by-step explanation:
3 1/2 * 1 3/5
Change to improper fractions
(2*3+1)/2 * (5*1+3)/5
7/2 * 8/5
56/10
Change back to a mixed number
50/10 +6/10
5 +3/5
5 3/5
HELP ASAP WILL MARK BRAINLIEST!!!!!
A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:
d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet
Answer:
AL= 6.63
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2[tex]\pi 10[/tex]
C = 20[tex]\pi[/tex]
[tex]AL = \frac{38}{360} 20\pi[/tex]
AL= 6.63
The length of the arc travelled by the car is 6.63 feet.
What is the arc length of a circle?The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.
Formula for calculating the arc lengthArc length = θ×[tex]\frac{\pi }{180}[/tex]× r
where,
θ is central angle of arc
r is the radius of circle
What is diameter of the circle?The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.
Formula for the calculating arc lengthdiameter = 2× radius
According to the given question
we have
θ = 38 degrees
diameter = 20ft
⇒ radius = [tex]\frac{20}{2}[/tex]
⇒ radius = 10
Therefore,
the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10
= 38×[tex]\frac{3.14}{180}[/tex]×10
=[tex]\frac{1193.2}{180}[/tex]
=6.63 feet
Hence, the arc length the car travelled is 6.63feet.
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If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.
Answer:
Step-by-step explanation:
z = (k*x*y) / w²
Where,
k = constant of proportionality
z = 72 when x = 80, y = 30 and w = 5
z = (k*x*y) / w²
72 = (k * 80 * 30) / 5²
72 = 2400k / 25
Cross product
72 * 25 = 2400k
1800 = 2,400k
k = 2,400/1800
k = 24/18
= 4/3
k = 1 1/3
k = 1.33
find z when x = 20, y = 60 and w=9
z = (k*x*y) / w²
z = (1.33 * 20 * 60) / 9²
z = (1596) / 81
Cross product
81z = 1596
z = 1596/81
z = 19.703703703703
Approximately,
z = 19.7
Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas
Step-by-step explanation:
12/3.75 = 3.2 a gallon
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ..
Answer:
b . is the answer
Step-by-step explanation:
ha ahhgahga
8
6471 sq. in.
25671 sq. in.
1,02471 sq. in.
Answer:
102471 sq .in the land answer Teri ma ki bosra
Answer:
=256 pi
Step-by-step explanation:
The surface area of a sphere is
SA = 4pi r^2
SA = 4 pi (8)^2
= 4 * pi *64
=256 pi
Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?
Answer:
For the first equation we have:
A*x = b
solving for x, we get:
x = b/A
If it always has a solution, then we can not have A = 0, because that causes an undefined operation.
so for example, if we have A = 1 and b = 2
x = b/A = 2/1
For the other case,
A*y = 0
dividing both sides by A
y = 0/A = 0
y = 0
Here we have only one possible solution, the trivial one, y = 0.
And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)
At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day
Answer:
48 days
Step-by-step explanation:
Swim = every 6 days
Run = every 4 days
Cycles = every 16 days
Find the lowest common multiple of 6, 4 and 16
6 = 6, 12, 18, 24, 30, 36, 42, and 48
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160
The LCM of 6, 4 and 16 is 48
Therefore,
If she did all 3 activities today, she will do all 3 activities again in the next 48 days
A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0
Answer:
The quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is [tex]2\cdot (a + b) + 1[/tex].
Step-by-step explanation:
If [tex]a^{2}[/tex], [tex]b^{2}[/tex] and [tex]c^{2}[/tex] are consecutive perfect squares, then both [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are natural numbers and we have the following quantities of natural numbers:
Between [tex]b^{2}[/tex] and [tex]c^{2}[/tex]:
[tex]c^{2} = (b+1)^{2}[/tex]
[tex]c^{2} = b^{2}+2\cdot b + 1[/tex]
[tex]c^{2}-b^{2} = 2\cdot b + 1[/tex]
And the quantity of natural numbers between [tex]b^{2}[/tex] and [tex]c^{2}[/tex] is:
[tex]c^{2}-b^{2}-1 = 2\cdot b[/tex]
Between [tex]a^{2}[/tex] and [tex]b^{2}[/tex]:
[tex]b^{2} = (a + 1)^{2}[/tex]
[tex]b^{2} = a^{2} +2\cdot a + 1[/tex]
[tex]b^{2}-a^{2} = 2\cdot a + 1[/tex]
And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]b^{2}[/tex] is:
[tex]b^{2}-a^{2}-1 = 2\cdot a[/tex]
And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is:
[tex]Diff = 2\cdot a + 2\cdot b + 1[/tex]
Please observe that the component +1 represents the natural number [tex]b^{2}[/tex]
what is the value of x? (3x-14)°=180° [4(x-9)]°=180°
Answer:
3x-14=180
3x=194
x= 64 2/3
4(x-9)=180
4x-36=180
4x=216
x=54
Hope This Helps!!!
Step-by-step explanation:
(3x-14)°=180°
3x-14=180
3x=180+14
3x=194
x=64.6
[4(x-9)]°=180°
4x-36=180
4x=180+36
4x=216
x=54
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
TOTAL NUMBER OF ARTICLE= 7
ARTICLES FOR 30K = 3
ARTICLES FOR 12.5K = 7-3= 4
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
Average cost of 7 articles
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
[tex] \red{AVERAGE = \frac{TOTAL \: COST}{ NUMBER \: OF\: ARTICLES }}[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex]Average \: cost \: of \: 7 \: articles - > \\ \frac{(3 \times 30k) + (12 .5k \times 4)}{7} \\ \frac{90k + 50k}{7} \\ \frac{140k}{7} \\ \blue {Average \: cost \: of \: 7 \: articles - >} \\ 20k[/tex]
h(x) = -4x – 7, when x = 3:
[tex]\displaystyle\bf h(x)=-4x-7\Longrightarrow h(3)=-4\cdot3-7=-19\\\\Answer:\boxed{ h(3)=-19}[/tex]
Answer:
-19
Step-by-step explanation:
heyya, so if x = 3 you just replace the x in the calculation to 3:
-4 *3 -7
= -12 -7
= -19
what is the smiplest ratio for 75cm:1m:250 mm
Answer:
You need to convert all the units to one unit