✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!What number should be added to −5/11to get 26/33?
Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?
Answer:
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Step-by-step explanation:
La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo
cos α ( α angulo que forma la escalera con el piso )
cos α = x / L
Tomando derivadas con respecto al tiempo (L es constante ) se tiene:
- sen α * dα / dt = dx/ dt / L
Cuando el extremo superior de la escalera está a 18 pies del piso, entonces sen α = 18 / 30 = 0.6
dx/dt = 1/2 pie/sec
dα/dt = - (1/2)/ L* 0.6
dα /dt = - 0.5 / 18
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
PLS HELP ASAP ITS DUE IN 2HR PLS
Answer:
From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.
Step-by-step explanation:
Write as a number equation ----> 2 - (-6) = 8
Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0
Answer:
4
Step-by-step explanation:
h + h
h=2
2+2
4
For what value of is the expression 4+2+36 a perfect square?
Answer:
[tex]2^2+2+6^2[/tex]
Step-by-step explanation:
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines
Answer:
Step-by-step explanation:
pN = 64/100 = 0,64 = 64%
pW = 80/100 = 0,8 = 80%
The planes of Waxwing airlines are more punctual
HELPPPPPPPPPPP MEEEEEE
Answer:
Answer is D
Step-by-step explanation:
What is the solution to the system of equations below?
2 x + y = 7 3 x + 2 y = 16
Answer:
2x+y=7; 3x+2y=16
X = -2
Y = 11
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answer:
[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]
Step-by-step explanation:
[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]
[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]
3. This problem incorporates an exponent property.
Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]
[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]
Answer:
1. 6
2. 8/25
3. 5
4. 4/5
Step-by-step explanation:
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?
Answer: 4/5
Step-by-step explanation:
Find the error & explain why it is wrong: Megan wanted to solve this problem: given that sin 0=-divided2/2, and cos =divided3/2, find tan 0
What did she do wrong
Answer:
As seen on the picture, all the steps A to D are correct.
Step A. Identity is correctStep B. The fraction is correctStep C. Simplification is correctStep D. Solution is correctNote:
It could be more simplified by adding a step and multiplying both the numerator and denominator by √3: [tex]\frac{-\sqrt{2} }{\sqrt{3} } = - \frac{\sqrt{6}}{3}[/tex]If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches
Please help me with the question.
i need points srry
Step-by-step explanation:
Recursive formula for
-4,3,10,17
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
[tex]a_n = a_{n-1} + d[/tex]
[tex]a_n = a_{n-1} + 7[/tex]
[tex]a_1 = -4[/tex]
Hopefully this helped!
is each pair of lines parallel perpendicular or neither
Answer:
perpendicular, parallel, neither, parallel
[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]
Volume of Cube = a³
side a = 5 Cm
Volume = 5³ = 125 Cm³
Answer:
125m³
Step-by-step explanation:
GIVEN :-
Length of a side of a cube = 5mTO FIND :-
Volume of cubeGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Volume of a cube = a³ (where a = length of each side of a cube)
SOLUTION :-
Volume of the cube = 5³ = 125 m³
-3•2•a+5(-7b)+(12•c•4)
f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²
Answer:
g(x) = (2x)²
Step-by-step explanation:
CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]
who smart enough to answer this?
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
hey! i’ll give brainliest please help
Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
70% in the SIMPLEST Form
Answer:
7/100
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 70 and 100 is 10
Divide both the numerator and denominator by the GCD
70 ÷ 10
100 ÷ 10
Reduced fraction:
7
10
Therefore, 70/100 simplified to lowest terms is 7/10.
What is 5/9 +1/3 = I appreciate all answers!!
1.) Multiply Denominator:
9x3= 27
27 will be your new denominator for your answer.
then take 5 and multiply by 3.
5x3=15
then take 1 and multiply by 9.
1x9=9
Afterwards, you plus 15 and 9 to get 24.
so your fraction for the end will be 24/27.
HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT
Answer:
B also have a great day today
Answer:
D, Between 5.4 and 6.5
Step-by-step explanation:
anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6
fid the log of 0.0007356
Look at the picture
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct