Step-by-step explanation:
there must be something missing in the problem text and/or answer options.
because based on what is visible here, the only answer is infinite (real or any other type) solutions.
an expression that is always true (like here 16>0) stays true for any values for any variables you can think of.
therefore, infinite possibilities with that expression being true.
wag akovtanungin mo
Step-by-step explanation:
walq basta
help I don't understand
With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
What is triangle similarity?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.
One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.
So, in the given situation:
TR and WY are as follows:
TR/WU
24/2
2/1
Similarly,
TS/WV
2/1
7/x
7/3.5
Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
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◄)) Solve for d.
18 = d + 2
Answer:
d = 16
Step-by-step explanation:
18 = d+2
d = 18-2
d = 16
Michael went to the store and bought a new laptop computer for $725, how much would he pay in tax if the tax rate is 3%
Plsss i need help
Answer:
$21.75
Step-by-step explanation:
3% = .03
725 * .03 = 21.75
Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,
Xx). What's the equation of the new function?
A) x) = 7x-4
B)(x) = 2x - 14
C)(x) = 7x-9
D) (x)=2x-4
According to the given data the equation of the new function is (D) f(x) = 2x - 4.
What is meant by equation?An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.
According to the given information:If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:
f(x) = h(x) + 5
Substituting the definition of h(x) into this equation, we get:
f(x) = 2x - 9 + 5
Simplifying, we have:
f(x) = 2x - 4
Therefore, the equation of the new function is (D) f(x) = 2x - 4.
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What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
PLS HELP TIMED HW WILL GIVE BRAINLEIST
Answer:
4.8
Step-by-step explanation:
\( V_{sphere} = \frac{4}{3} \pi r^3 \)
\( 144\pi= \frac{4}{3} \pi r^3 \)
\(r^3 = \frac {3 \times 144\pi}{4\pi}\)
\(r^3 = 3 \times 36\)
\(r^3 = 108\)
\(r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: \)
HELLLLPPPPP!!!!!!!!!!!! AHHHHHHHHHHH!!!!!!!
kenji is raising baby kittens. their weights after three weeks are 12 ounces, 14 ounces, 15 ounces, 15, ounces and 14 ounces, what is the mean weight of the kittens????
Answer: 14 ounces
Step-by-step explanation:
To find the mean, we add up all the values and divide by the number of values.
\(\displaystyle \frac{12+14+15+15+14}{5} =\frac{70}{5} =14\;ounces\)
Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
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Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
I think the answers 3048_&8_9_)_)_
Suppose that 19,665$ is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
helppppppp
Answer: a) The exponential function that describes the amount in the account after time t, in years, is given by:
A(t) = Pe^(rt)
where P is the initial amount invested, r is the annual interest rate (as a decimal), and e is the mathematical constant approximately equal to 2.71828.
Substituting the given values, we get:
A(t) = 19665e^(0.068t)
b) To find the balance after 1 year, we substitute t = 1 in the above formula:
A(1) = 19665e^(0.068*1) = $20,983.88
To find the balance after 2 years, we substitute t = 2:
A(2) = 19665e^(0.068*2) = $22,429.45
To find the balance after 5 years, we substitute t = 5:
A(5) = 19665e^(0.068*5) = $29,137.27
To find the balance after 10 years, we substitute t = 10:
A(10) = 19665e^(0.068*10) = $43,127.22
c) The doubling time can be found using the formula:
t = ln(2)/r
where ln is the natural logarithm function. Substituting the given values, we get:
t = ln(2)/0.068 ≈ 10.20 years
Therefore, the doubling time is approximately 10.20 years.
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Raul received a score of 80 on a history test for which the class mean was 70 with standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 2.5. On which test did he do better relative to the rest of the class?
Answer:
Raul performed better in the biology test
Step-by-step explanation:
Given
History
\(Score = 80\)
\(Mean = 70\)
\(Standard\ Deviation = 10\)
Biology
\(Score = 75\)
\(Mean = 70\)
\(Standard\ Deviation = 2.5\)
Required
Where did he perform better relative to other students
To do this, we simply calculate the z score in both tests and make comparison.
z score is calculated as thus;
\(z = \frac{x - Mean}{SD}\)
For history;
\(z = \frac{80 - 70}{10}\)
\(z = \frac{10}{10}\)
\(z = 1\)
For biology;
\(z = \frac{75 - 70}{2.5}\)
\(z = \frac{5}{2.5}\)
\(z = 2\)
Since the z score in the biology test is greater than that of the history test, then he performed better in the biology test
Determine the surface area of the cylinder. (Use π = 3.14)
net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
157 in2
219.8 in2
282.6 in2
314 in2
Answer:
282.6in^2
Step-by-step explanation:
Surface area of a cylinder = 2πrh+2πr^2
plugging in r=5 and h=4 gives
2π20+2π25
40π+50π = 90π
90*3.14=282.6in^2
what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
The square root of 9999.
Answer:
99.99499987
Step-by-step explanation:
Answer:
99.99499987
Step-by-step explanation:
Find the value of x. Round to the
nearest tenth.
12
X =
The measure of the angle x is 70.53 degrees
How to determine the value of the angleIt is important to know that trigonometric identities are defined as equalities that relate to different trigonometric functions and also holds true for any value of the variable that is in the domain.
There are different trigonometric identities namely;
tangentcosecantsecantsinecosinecotangentThe ratio for the identity cosine is;
cos θ = adjacent/hypotenuse
substitute the values, we get;
cos x = 4/12
divide the values
cos x = 0. 3333
Take the inverse cosine of the values
x = 70. 53 degrees
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1520−{64÷−4}−[37( √ 121+345)(43−|−583|)+405]−{1745÷5−64 }
~(P ∨ (P ⊃ Q))
A.tautology
B.contradiction
C.contingent
D.None of the above
The statement ~(p v (p ^ q)) is classified as follows:
C. contingent
What are tautologies and contradictions?When a logic statement is always true, no matter the inputs, it is called a tautology. Otherwise, when a statement is always false, no matter the inputs, it is called a contradiction.
If the statement can be either true or false, depending on the boolean values of the inputs, the statement is called contingent.
The statement given in this problem is as follows:
~(p v (p ^ q))
From the precedence of operations, it is found that:
p ^ q can be either true or false, true if p = q = 1, false otherwise.p v (p ^ q) is false if p = q = 0 and true otherwise. ~(p v (p ^ q)) is the negation of the above statement, that is, true if p = q = 0 and true otherwise.Since the statement can be either true or false, depending on the boolean values of p and q, it is classified as contingent, and option c is correct.
Missing informationThis problem is incomplete and could not be found on any search engine, hence I will consider that it asks to classify the statement ~(p v (p ^ q)).
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Amplitude, period, and phase shift of sine and cosine functions
We are given that
\(y=-2+2\cos (2x-\frac{\pi}{3})\)Note: Given the cosine function
\(y=a\cos (bx-c)+d\)then
\(\begin{gathered} Amplitude=a \\ Period=\frac{2\pi}{b} \\ PhaseShift=\frac{c}{b} \\ VerticalShift=d \end{gathered}\)Comparing the question with what is written in the note
We have
\(\begin{gathered} a=2 \\ b=2 \\ c=\frac{\pi}{3} \\ d=-2 \end{gathered}\)We want to find
(a). Amplitude
From the given question, the amplitude (a) is
\(\begin{gathered} a=2 \\ Amplitude=2 \end{gathered}\)(b).Period
From the given question, the period is
\(\begin{gathered} Period=\frac{2\pi}{b} \\ Period=\frac{2\pi}{2} \\ Period=\pi \end{gathered}\)(c). Phase Shift
From the given question, the phase shift is
\(\begin{gathered} PhaseShift=\frac{c}{b} \\ PhaseShift=\frac{\pi}{3}\times\frac{1}{2} \\ PhaseShift=\frac{\pi}{6} \end{gathered}\)Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's on either examination. What is the probability that a random
Answer:
The correct answer is "\(\frac{2}{7}\)".
Step-by-step explanation:
According to the question,
Number of students,
= 35
A ! mid term A,
\(n(A) = 20\)
B : final A,
\(n(B) = 13\)
Didn't start,
\(n(A^c \cap B^c) = 12\)
Now,
⇒ \(n(A \cup B)=35-12\)
\(=23\)
then,
⇒ \(n(A \cup B)=20+13-23\)
\(=10\)
hence,
The probability will be:
⇒ \(P(A \cap B)=\frac{10}{35}\)
⇒ \(=\frac{2}{7}\)
From Question 10c, What is DC_{3,1}DC
3,1
DC₃₁ is the entry of the product DC in row 3, column 1, which you get by computing the dot product of the 3rd row of D and the 1st column of C :
{3, -2} • {1, 4} = 3×1 + (-2)×4 = 3 - 8 = -5
Find value of x, first gets brain
Answer:
53
Step-by-step explanation:
How to numerically write five and eight then multiply by 4
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
Solve (x – 3)2 = 49. Select the values of x.
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra IIExpansion on Equality Properties
Square Roots
Application:Step 1: Define
The given equation is as follows: \(\displaystyle (x - 3)^ 2 = 49\)
Step 2: Solve
[Equality Property] Take the square root of both sides:∴ the solution is x = 10 or x = -4.
___
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___
Topic: Algebra II
Unit: Solving square root equations
*Note: Experimental Format
Employees wage, please answer!
Simplify. Explanation if you can.
Answer:
10
Step-by-step explanation:
This expression uses the idea of exponential edition. The basis is, when you have the same base number being multiplied, you can add the exponentials.
Consider the case of 2 * 2. We know this to be 4. When writing 2 * 2, you can write this as 2^1 * 2^1 == 2^(1+1) == 2^2 == 4. See how we added the powers to get the new exponential?
We will apply this same idea here.
10^(1/2) * 10^(1/2) == 10^(1/2 + 1/2) == 10^(1) == 10.
So, the simplified expression is 10.
Cheers.
PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
Prove that -tan^(2)x + sec^(2)x = 1 is an identity
and if you can show your work that would help
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Help plz...............
Step-by-step explanation:
2πr
2x 3.14 x 8.1 = 50.22in
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.