What are the solutions to the quadratic equation 4x^2= 64?
Ox=-16 and x = 16
Ox=-8 and x =8
Ox= -4 and X = 4
Ox=-2 and x =2
Answers
Answer:
x=4 or -4
Step-by-step explanation:
4 squared is 16, and 4 times 16 is 64
The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
given that,
the quadratic equation 4x^2= 64
now, we have to simplify the equation,
at first, take 4 common from both sides,
we get,
x^2= 16
now, taking square root on both side, we get,
x = ±4
Hence, The solution is, the solutions to the quadratic equation 4x^2= 64 are, Ox= -4 and X = 4.
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Related Questions
What is the best first step in solving m–2(m–4)≤3m for m? Distribute -2 through the parentheses. Add 4 to both sides of the inequality. Reverse the direction of the inequality sign. Subtract m from both sides of the inequality.
Answers
The best first step in solving m–2(m–4)≤3m for m will be A. Distribute -2 through the parentheses.
What is an inequality?It should be noted that an inequality simply means a relation between the expressions that are unequal.
It should be noted that the best first step in solving m–2(m–4)≤3m for m will be to distribute -2 through the parentheses.
This is important in order to have variables of m and then solve accordingly.
In conclusion, the best option is A.
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Use laws of logical equivalence (not truth tables) to prove that the following sentences
are logically equivalent.
(A & ~B) V (A & ~C)
~~A &~ (B & C)
Answers
Answer:
See below
Step-by-step explanation:
Refer to the attachment.
Given:
(A ∧∼B) ∨ (A ∧ ∼C)
Solving steps:
≡A∧(∼B∨∼C). . . . . Distributive Law
≡A∧∼(B∧C). . . . . . De Morgan's Law
≡∼(∼A)∧∼(B∧C). . . . . . Double Negation Law
Hence,
(A ∧∼B) ∨ (A ∧ ∼C)≡∼(∼A)∧∼(B∧C) [Proven]
If n is a positive integer divisible by 3 and n is less than or = 44, then what is the highest possible value of n?
Answers
Answer:
o dont know
Step-by-step explanation:
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answers
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
is 45/9 a interger or a other type of number?
Answers
Answer:
it is an integer.
Step-by-step explanation:
Answer:
Interger because it's a whole number and whole numbers are intergers. Hope this helps pls give brainliest
Step-by-step explanation:
A bag contains coins consisting of quarters and dimes.
The total value of the coins is $8.65. There are 6 more
dimes than quarters. Which system of equations can be
used to determine the number of quarters, x, and the
number of dimes, y, in the bag?
x = y + 6 & 25x + 10y = 865
y = x + 6 & 10x + 25y = 8.65
10 = x +y & .25x + .10y = 8.65
y = x + 6 & 25x + 10y = 8.65
Answers
A (i think)
Step-by-step explanation:
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3800
cubic feet and whose height is 2.8 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
Answers
[tex]v=\pi r^2h[/tex]
[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]
[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]
Suppose log5=b , then what is the exact value of log5^4?
Answers
Answer:
4b
Step-by-step explanation:
log(5) = b actually means that
[tex]10^b = 5[/tex]
The power of 10 is b.
So log(5⁴) means that
[tex](10^b)^4 = 5^4[/tex]
so the power of 10 is 4b.
PLEASE ANSWER PLS
HELPP
Answers
Blake was competing in a cooking competition and needed to add 3/4 cup of flour to a recipe. The only measuring cup he could find was 1/8 of a cup. Black would need to fill the measuring cup times
Answers
Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x^2+y^2=16 between the planes z=4 and z=5
Let u=z and v=θ and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area.
Answers
Answer:
The answer is "[tex]8\pi[/tex]"
Step-by-step explanation:
[tex]\to r(v,u) =(4 \cos v, 4 \sin v,u) \\\\0\leq v \leq 2\pi, \ \ 4\leq u\leq 5\\\\\to r_v= (-4 \sin v, 4 \cos v, 0)\\\\\to r_u=(0,0,1)[/tex]
[tex]\to r_v\times r_u = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4 \sin v& 4 \cos v& 0\\0&0&1\end{array}\right| \\\\[/tex]
[tex]= (4 \cos v, -4 \sin v, 0)[/tex]
[tex]|r_v \times r_u| = \sqrt{16 \cos^2 v +16 \sin^2 v}\\\\[/tex]
[tex]= \sqrt{16( \cos^2 v + \sin^2 v)}\\\\= \sqrt{16(1)}\\\\= \sqrt{4^2}\\\\=4[/tex]
Calculating the surface area:
[tex]=\int^{2\pi}_{0} \int^{5}_{4} 4 \ du \ dv \\\\=\int^{2\pi}_{0} 4[4]^{5}_{4} \ dv \\\\=\int^{2\pi}_{0} 4[5-4] \ dv \\\\=\int^{2\pi}_{0} 4 \ dv \\\\=4 [v]^{2\pi}_{0}\\\\= 4 \times 2\pi\\\\= 8\pi[/tex]
This question is based on the parametrization. Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.
Given:
The portion of the cylinder [tex]x^{2} +y^{2} = 16[/tex] between the planes z=4 and z=5.
Let u=z and v=θ and use cylindrical coordinates to parameterize the surface.
We need to express the area of the surface as a double integral.by using parametrization.
According to the question,
It is given that u=z and v=[tex]\theta[/tex],
Therefore, r(v,u) = (4 Cos v,4 Sin v, u)
Range of v : 0 [tex]\leq[/tex] v [tex]\leq[/tex] 2[tex]\pi[/tex]
Range of u : 4 [tex]\leq[/tex] u [tex]\leq[/tex] 5
[tex]\rightarrow r_v= (-4 \;sin\; v,4\;cos\; v,0)\\\rightarrow r_u=(0,0,1)[/tex]
[tex]\rightarrow r_u \times r_v =\begin{bmatrix} \hat{i}& \hat{j} & \hat{k}\\ -4\; sin\;v & 4\; cos\; v & 0 \\ 0 & 0 & 1\end{bmatrix}\\\\=(4 cos v,\;-4 sin v ,0)\\\\\left | r_v \times r_u \right | = \sqrt{16cos^{2}v+16sin^2v } \\\\= \sqrt{16(cos^{2}v+sin^2v) }\\\\=\sqrt{16}\\\\=4[/tex]
Now calculating the surface area,
[tex]=\int\limits^{2\pi}_0\int\limits^5_4 4 du\; dv\\\\=\int\limits^{2\pi}_0 4[u]^5_4 dv\\\\=\int\limits^{2\pi}_0 4[5-4] dv\\\\\\=\int\limits^{2\pi}_0 4dv\\\\\\=4[v]^{2\pi}_0 = 4(2\pi-0)= 8\pi[/tex]
Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.
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The ratio 4/7 : 8/21 has a unit rate of 3/2. True or false?
Answers
The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'
We need to check whether the statement is True or False.
We have been given the ratio of two fractions.
4/7 : 8/21
We know that for any non zero real numbers a, b, c, d,
a/b : c/d = a/b × d/c
So, we can write given ratio as,
4/7 : 8/21
= 4/7 × 21/8
= 3/2
In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.
This means, the given statement is correct.
Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
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Xandra’s average is 94.61 which is rounded to 95, the rounded number can be classified as the numbers below except what number? *
1 point
imaginary number
rational number
whole number
natural number
Which number have a subset of zero and natural numbers? *
1 point
imaginary numbers
real numbers
whole numbers
counting numbers
Which is always true from the statements below? *
1 point
Real numbers are rational numbers.
Natural numbers are real numbers.
Irrational numbers are integers.
Decimals are rational number.
*
1 point
Captionless Image
Rey
RM
John
Jeson
What subset of real numbers contains non-repeating, non-terminating decimals? *
1 point
rational numbers
whole numbers
irrational numbers
imaginary numbers
Which values are in ascending order? *
1 point
Captionless Image
D
A
B
C
Which has the smallest value from the choices below? *
1 point
Captionless Image
D
C
B
A
Which can be classified as irrational number? *
Captionless Image
D
C
B
A
What kind of number does have elements ... , −3, −2, −1, 0, 1, 2, 3, ... ? *
1 point
whole numbers
irrational numbers
natural numbers
integers
Which is arranged in descending order? *
1 point
Captionless Image
D
C
B
A
Answers
Answer:
I believe the answer is a imaginary number... I only know the fist one I'm sorry..
Step-by-step explanation:
I think this because a rational number is a number that is real. A Whole number is one without decimals. A natural number is something that is also real. I really hope this is helpful.
Supongase que se sabe que en ciertas poblacion el 10%de sus habitantes padece de daltonismo. Si de esta poblacion se extrae una muestra aleatoria al azar de 20 personas.
Answers
The mean variable is 2 if a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.
In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.
Percentage of blind people or p = 10% or 0.10 (English)
porcentaje de personas ciegas o p = 10% o 0.10 (Spanish)
No. of random samples of people taken or n = 20 (English)
No. de muestras aleatorias de personas tomadas o n = 20 (Spanish)
Now, Mean is given by n(p). so, (English)
Mean = n(p)
= 20(0.10)
= 2Ahora, la media viene dada por n(p). asi que, (Spanish)
la media = n(p)
= 20(0.10)
= 2
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Full and translated question
Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2
Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answers
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
0.586 redondeado a la centesima mas cerca
Answers
It should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
How to illustrate the information?It should be noted that rounding to the nearest hundredth simply means the rounding of any decimal number to its nearest hundredth value.
Fyr example, it should be noted that in the decimal, hundredth means 1/100 or 0.01. For example, the rounding of 3.267 to its nearest hundredth is 3.23.
It should be noted that in this case, it should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
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Find the difference
$9.36 - $1.12
Answers
During the women's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of 148 points. How many points did the Champion team A score during this game?
Answers
team A scored 75 points
Monday
American Industries charges
$5 a day and $3.50 and hour
to rent a drill. Write and solve
an equation to show how
much it will cost you to rent a
drill for 6 hours.
Answers
Answer:
Step-by-step explanation:
so the equation will be: y = 5 + 3.50x. y is the total cost, and x is the number of hours. To solve for 6 hours, just plug 6 into the equation so: y = 5 + 3.50(6) = 26. So the answer is: it costs $26.00 to rent a drill for 6 hours.
Question 1 (10 points)
(04.02 MC)
A proportional relationship between the number of pounds of kiwis (x) and the price in dollars (y) can be graphed, and the ordered pair (3, 2) would be on the graphed line.
Part A: What is the price of 1 pound of kiwis? Show your work. (8 points)
Part B: What does the ordered pair (6, 4) which is the line in the graph represent? Explain in words. (2 points)
Your answer:
Answers
Answer:
[tex]1\ pound = \$ \frac{2}{3}[/tex]
6 pounds of kiwis cost $4
Step-by-step explanation:
Given
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
[tex](x,y) = (3,2)[/tex]
Solving (a): Price of 1 pound kiwi
The given parameters can be translated to be:
3 pounds costs $2
i.e.
[tex]3\ pounds = \$2[/tex]
To get the cost of 1 pound, we divide both sides by 3
[tex]\frac{3\ pounds}{3} = \frac{\$2}{3}[/tex]
[tex]1\ pound = \frac{\$2}{3}[/tex]
[tex]1\ pound = \$ \frac{2}{3}[/tex]
Solving (b): What does (6,4) represent
This can be rewritten as:
[tex](x,y) = (6,4)[/tex]
Recall that the representation is:
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
By comparison:
[tex]x = 6\\ y = 4\\[/tex]
So, the above can be translated to mean.
6 pounds of kiwis cost $4
Answer:
6 pounds of kiwis cost $4
Step-by-step explanation:
Plz help me with this???
Answers
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
Are the given ratios equivalent Explan why or why not 3 : 5 12 : 20
Answers
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answers
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
2x {3x [40 - (I0 x 2)]} = ?
Answers
the answer its 120 hope helps you
Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces, find the following probability.
That a randomly selected bag weighs between 15.6 ounces and 16.4 ounces
That a randomly selected bag weighs between 15.2 ounces and 16.8 ounces.
That a randomly selected bag weighs less than 14.8 ounces.
Answers
probability of a randomly selected bag weighing between 15.6 ounces and 16.4 ounces is 0.68269.
probability of a randomly selected bag weighing between 15.2 ounces and 16.8 ounces is 0.9545.
probability of a randomly selected bag weighing less than 14.8 ounces is 0.0013499.
What is Z-Sore?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean serve as a unit of measurement for the Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given, Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces. thus,
μ = 16
σ = 0.4
for randomly selected bags weighing between 15.6 ounces and 16.4 ounces
x₁ = 15.6
x₂ = 16.4
Z score = ( x - μ)/σ
z₁ = (15.6 - 16) / 0.4
z₁ = -1
z₂ = (16.4 - 16)/ 0.4
z₂ = 1
From the table of normal distribution (z²)
the probability of getting the value between -1 to 1 is = 0.68269
for randomly selected bags weighing between 15.2 ounces and 16.8 ounces
x₁ = 15.2
x₂ = 16.8
Z score = ( x - μ)/σ
z₁ = (15.2 - 16) / 0.4
z₁ = -2
z₂ = (16.8 - 16)/ 0.4
z₂ = 2
From the table of normal distribution (z²)
the probability of getting the value between -2 to 2 is = 0.9545
for randomly selected bags weighing less than 14.8 ounces.
x = 14.8
Z score = ( x - μ)/σ
z = (14.8 - 16) / 0.4
z = -3
From the table of normal distribution (z²)
the probability of getting a value less than 14.8 = 0.0013499
Therefore, The probability that a randomly chosen bag will weigh between 15.6 and 16.4 ounces is 0.68269. The probability that a randomly chosen bag will weigh between 15.2 and 16.8 ounces is 0.9545. The probability that a randomly chosen bag will weigh less than 14.8 ounces is 0.0013499.
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I GIVE BRAINLIEST!
Someone explain please!
Answers
Answer: 7 8 9 7 6 12 2 0
Step-by-step explanation:
Answer:
1) -8m +4+p
2) 10-3t
3)im not sure for the rest
Step-by-step explanation:
many years ago, some doctors administered medication to patients themselves, as opposed to using a pharmacist. One curious yet unethical doctor decided to start giving all of his patients sugar pills in place actual medication, to his surprise, many of his patients actually had their symptoms vanish despite not getting the actual medication. explain how this might happen.
Answers
Answer:
They are now dead
Step-by-step explanation:
Jake Paul
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answers
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
What does the variable represent in your equation?
Answers
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
A small drink holds 50% as much as a large drink. If the large drink holds 24 ounces, how much does the small drink hold?
Answers
Answer:
12
Half of 24 is 12
I hope this helps C:
Answer:
23.5
Step-by-step explanation:
i hope this is helpful :)