Usando la propiedad exponencial, hay que el resultado es: 125/64.
¿Cómo aplicar la propiedad exponencial?Con el expoente negativo, hay que:
\(\left(\frac{a}{b}\right)^{-x} = \left(\frac{b}{a}\right)^{x}\)
Así, la expresion equivalente es dada por:
\(\left(\frac{16}{25}\right)^{-\frac{3}{2}} = \left(\frac{25}{16}\right)^{\frac{3}{2}}\)
Hay que 25 = 5² y 16 = 4², así:
\(\left(\frac{25}{16}\right)^{\frac{3}{2}} = \left(\frac{5^2}{4^2}\right)^{\frac{3}{2}} = \left(\frac{5}{4}\right)^3 = \frac{125}{64}\)
Así, hay que el resultado es: 125/64.
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In Joe's fish tank, there are 9 goldfish and 13 snails. How does the ratio 9:22 describe Joe's fish tank?
A. The ratio 9:22 compares the number of snails to the total number of animals.
B. The ratio 9:22 compares the number of snails to the number of goldfish.
C. The ratio 9:22 compares the number of goldfish to the number of snails.
D. The ratio 9:22 compares the number of goldfish to the total number of animals.
Please answer soon, I'm on a time limit.
PLEASE HELP WITH THIS GEOMETRY QUESTION!! DUE IN AN HOUR!! photo attached above!!!
Answer:
12: an enclosed shape that has no curves
13: I is a quadrilateral, bc it has four sides
Step-by-step explanation:
what is 1090 divided by 3
Answer: 363.333333
Step-by-step explanation:
The division of the number 1,090 by 3 will be 363.33.
Given that:
Numbers, 1,090 and 3
Division means separating something into different parts, sharing something among other people, places, etc.
The division of the number 1,090 by 3 is calculated as,
⇒ 1,090 / 3
⇒ 363.33
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Find the length of the diameter if the radius is given. Find the length of the radius if the diameter is given.
Answer:
All you have to do is find the diameter and divide it by 2. I'm sorry if I can't give you a direct answer because I cannot see the diagram.
Step-by-step explanation:
Answer:
7=2.75
8=18
9=3.625
10=29
Step-by-step explanation:
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
Molly rewrote the equation as shown: -5d + 11 = 8 − 3d -5d + 11 + 3d = 8 − 3d + 3d Which property did she use to rewrite the equation? Addition property of equality distributive property multiplication property of equality substitution property
Answer: A. addition property of equality.
Step-by-step explanation:
Molly added 3d to both sides of the equation.
a right circular cone is generated by revolving the region bounded by y = 3x/4, y = 3, and x = 0 about the y-axis. find the lateral surface area of the cone.
The lateral surface area of the cone is 20π square units.
To find the lateral surface area of a right circular cone generated by revolving the region bounded by y = 3x/4, y = 3, and x = 0 about the y-axis, we need to follow these steps,
1. Find the height and slant height of the cone.
2. Use the formula for the lateral surface area of a cone: LSA = πr * l, where r is the radius and l is the slant height.
Find the height and slant height of the cone.
The equation of the line is y = 3x/4. We are given that y = 3, so we can solve for x:
3 = 3x/4
x = 4
Thus, the height (h) of the cone is 3, and the base radius (r) is 4. To find the slant height (l), we can use the Pythagorean theorem:
l² = h² + r²
l² = 3² + 4²
l² = 9 + 16
l² = 25
l = 5
Use the formula for the lateral surface area of a cone.
LSA = πr * l
LSA = π(4) * (5)
LSA = 20π
The lateral surface area of the cone is 20π square units.
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2 If f(x)=x² +2*, what is f(6)
Answer:
\( \rm \: f(x) = {x}^{2} + 2\)
\( \rm \: f(6) = {6}^{2} + 2\)
\( \rm \: f(6) = 36+ 2\)
\( \rm \: f(6) = 38\)
HELPP ME PLEASEEE ! I NEED IT RNN
FIFTY POINTS AND ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!
Find the sum, difference, product, and quotient of 6 x 10^-4 and 1.5 x 10^
-4. Write your answers in scientific notation.
The sum is__
The difference is__
The product is__
The quotient is__
Answer:
The sum is
6 × 10⁻⁴ + 1.5 × 10⁻⁴ = 7.5 × 10⁻⁴The difference is
6 × 10⁻⁴ - 1.5 × 10⁻⁴ = 4.5 × 10⁻⁴The product is
6 × 10⁻⁴ × 1.5 × 10⁻⁴ = 9 × 10⁻⁸The quotient is
6 × 10⁻⁴ ÷ 1.5 × 10⁻⁴ = 4You are _____ to commit a Type I error using the 0.05 level of significance than using the 0.01 level of significance. Group of answer choices more likely less likely equally likely twice as likely
More likely -You are more likely to commit a Type I error
According to statement
we have to find the type 1 error by using the significant levels.
we are commit a MORE LIKELY to find the error by rejecting a true null hypothesis using the 0.05 level of significance than using the 0.01 level of significance.
So, More likely -You are more likely to commit a Type I error
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Write down a n equation to represent the production cost(y)in terms of a,x,b and c
The production cost is an illustration of a quadratic function
The equation of the production cost is \(y = ax^2 + bx - c\)
How to determine the equationFrom the complete question, we have the following parameters:
Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)Using the instructions in the question, the equation of the production cost would be:
\(y = ax^2 + bx - c\)
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90 POINTS!!!! A sequence is defined by the recursive function f(n + 1) = –10f(n). If f(1) = 1, what is f(3)? 3 –30 100 –1,000
Answer:
A sequence is a chain of numbers all related. In this case, they are related by the rule "f(n + 1) = –10f(n)". Each number is called a term. Here is what the rule in this sequence means:
Since f(n + 1) is the "next" term and f(n) is the "current" term, to get to the next term, you take the current term and multiply by -10.
When they say f(1) = 1 it means that the first term (term number 1) is 1. When they ask "What is f(3)?", they are asking, "What is the 3rd term?"
Since term #1 is 1, then to find term #2, we multiply 1 by -10. So term #2 is -10. To find term #3, we take term #2 and multiply it by -10, so -10 x -10 = 100. So term #3 is 100
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement
Answer:
Answers and explanations below
Step-by-step explanation:
1. Not congruent (no justification needed)
2. FGH by SSS
3. VLM by SAS
4. Not sufficient information (not similar)
\( \underline{ \underline{ \text{question}}} : \)
In the given figure , AP = BP = PC. Prove that \( \angle\)ABC = 1 rt.angle.
~Thanks in advance ! ♡
Answer:
See Below.
Step-by-step explanation:
In the given figure, AP = BP = PC.
And we want to prove that ∠ABC is a right angle.
Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.
By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be x°.
Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.
And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to x°.
And since the sum of the interior angles of a triangle total 180°, we acquire:
\(\angle PAB+\angle PBA+\angle PCB+\angle PBC=180\)
Since they are all equivalent:
\(4x=180\)
Hence:
\(x=45^\circ\)
∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:
\(\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ\)
Answer:
this is your answer look it once.
Camille rolls two number cubes​ together, and records the sum. if she does this 180​ times, how many times should she expect the sum to be​ 7? explain your answer. loading... click the icon to view the possible sums of the number cubes. question content area bottom part 1 the sum should be 7 approximately enter your response here ​time(s). the probability of a sum of 7 is enter your response here. ​so, to predict the number of times that a sum of 7 is​ rolled, solve the proportion ▼ one sixth equals startfraction x over 36 endfraction . one sixth equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 180 endfraction . seven twelfths equals startfraction x over 36 endfraction .
The total number of times 7 can occur as the sum on rolling two cubes for 180 times is 30. It is gained by applying the knowledge of probability to the given problem.
What is probability?
Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes
Calculation of the total number of times 7 can appear as a sum on rolling two cubes for 180 times
Number of cubes rolled = 2
Total number of outcomes on rolling two cubes = 36
Total possibility of getting 7 as sum = 6
The probability of getting 7 as a sum on rolling two dice only once is given by P(E1)
P(E1) = 6 / 36
= 1 / 6
She repeated the process 180 times so the needed probability, P(E) is obtained by multiplying 180 by P(E1)
P(E) = 180 × (1 / 6)
P(E) = 30
Hence, the required probability of getting 7 as the sum is given by 30.
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Verify that y1 and y2 are solutions to the differential equation. Then find a particular solution of the form y(x) = c1y1 + c2y2 that satisfies the given initial conditions:y'' + y' - 6y; y1 = e²ˣ; y2 = e⁻³ˣ; y(0) = 7; y'(0) = -1
The particular solution that satisfies the given initial conditions is y(x) = y(x) = y(x) = e^2x + 6e^(-3x).
To verify that y1 = e^2x and y2 = e^(-3x) are solutions to the differential equation y'' + y' - 6y = 0, we substitute them into the equation:
For y1:
y'' + y' - 6y = (e^2x)'' + (e^2x)' - 6(e^2x) = 4e^2x + 2e^2x - 6e^2x = 0
For y2:
y'' + y' - 6y = (e^(-3x))'' + (e^(-3x))' - 6(e^(-3x)) = 9e^(-3x) - 3e^(-3x) - 6e^(-3x) = 0
Both y1 and y2 satisfy the differential equation.
To find a particular solution that satisfies the initial conditions y(0) = 7 and y'(0) = -1, we express y(x) as y(x) = c1y1 + c2y2, where c1 and c2 are constants. Substituting the initial conditions into this expression, we have:
y(0) = c1e^2(0) + c2e^(-3(0)) = c1 + c2 = 7
y'(0) = c1(2e^2(0)) - 3c2(e^(-3(0))) = 2c1 - 3c2 = -1
Solving this system of equations, we find c1 = 1 and c2 = 6. Therefore, the particular solution that satisfies the given initial conditions is y(x) = y(x) = y(x) = e^2x + 6e^(-3x).
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Suppose that John wants to calculate a 96% confidence interval for a population mean from a sample of
size n = 15. What is the appropriate critical value t*?
a. 2.145
c. 2.264
b. 2.249
d. 2.054
Answer:
A I believe try A that should be it
PLEASE ANSWER ASAP AND DONT BE A SPAM What is the scale factor of the following similar polygons?
scale factor =
Answer:
Step-by-step explanation:
The scale factor is 35/42 = 5/6
suppose that an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time. how long does the algorithm take? f(n) g(n) f(n)g(n) f(n^2) g(n^2)
The time taken by an algorithm that performs two steps, the first taking f(n) time and the second taking g(n) time, is the sum of the two individual steps, which is f(n) + g(n).
When an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, the total time the algorithm takes can be found by adding f(n) and g(n).
If an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, then the total time the algorithm takes is the sum of the two individual steps, which is f(n) + g(n).
Therefore, the time taken by the algorithm would be proportional to the sum of the time complexity of the two steps involved.
Let's take a closer look at the options provided:
f(n) + g(n): This is the correct answer. As mentioned earlier, the time taken by an algorithm is proportional to the sum of the time complexity of the two steps. Therefore, the time complexity of this algorithm would be f(n) + g(n).f(n)g(n): This is not the correct answer.
Multiplying the time complexity of the two steps does not provide a meaningful measure of the total time taken by the algorithm. Therefore, this option is incorrect.
f(n²) + g(n²): This is not the correct answer.
Squaring the time complexity of the steps is not meaningful and cannot provide an accurate estimate of the total time taken by the algorithm.
Therefore, this option is incorrect.
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What is the nth term rule of the linear sequence below?
-4,-1,2,5,8,...
Answer:
The nth term of the given sequence tₙ = 3 n - 7
Step-by-step explanation:
Given sequence - 4 , -1 , 2 , 5, 8 , .....
First term a = -4
The difference of two terms of a given sequence
d = -1 - (-4) = -1 +4 = 3
d = 2 - (-1) = 2 +1 = 3
d = 5 -2 = 3
d = 8 - 5 =3
The difference of two terms of a given sequence is equal
∴ The given sequence is in Arithmetic progression(AP)
The nth term of given sequence
\(t _{n} = a + ( n-1 ) d\)
\(= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7\)
Final answer:-
The nth term of the given sequence tₙ = 3 n - 7
Can someone help with this fast!?!?!
Trying to get better at doing word problems like this is would help a lot.
Laney made $520 in the salon where she works. She charged $65 per appointment and received $100 in tips, but also had to pay a rental fee for her chair of $12.50 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Laney had.
Answer:
She had 8 appointments
Step-by-step explanation:
Let x = the number of appointments
65x + 100 - 12.5x = 520 Combine like terms
52.5x + 100 = 520 Subtract 100 from both sides
52.5x + 100 - 100 = 520 - 100
52.5x = 420 Divide both sides by 52.5
\(\frac{52.5x}{52.5}\) = \(\frac{420}{52.5}\)
x = 8
Helping in the name of Jesus.
Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home
When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.
When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:
1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.
2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.
3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.
4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.
5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.
6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.
7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.
By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.
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Which type of parent function does the equation f(x) = |2| represent?A. Square rootB. ReciprocalC. Cube rootD. Absolute value
Answer:
The given function is an Absolute value function because its expression is contained within the absolute value symbol.
Explanation:
Given the function;
\(f(x)=|2|\)Recall that Absolute value functions are functions that contains it algebraic expression within the absolute value symbol.
Such as;
\(f(x)=|x|\)Therefore, the given function is an Absolute value function because its expression is contained within the absolute value symbol.
solve the simultaneous equation :
x² + y² = 18
x + 2 = - 3x
The solution to the simultaneous equation is x = -1/2 and y = √71 / 2
What is a Linear Expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
For example, t² is a variable raised to the second power, but t is a variable raised to the first power.
x² + y² = 18 ----- 1
x + 2 = - 3x ---- 2
From equation 2
x + 2 = - 3x
x + 3x = -2
4x = -2
x = -2/4
x = -1/2
Substitute x in equation 1
(-1/2)² + y² = 18
1/4 + y² = 18
y² = 18 - 1/4
y² = (72 - 1)/4
y² = 71/4
y = √71 / 2
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Water flows through a pipe at a rate of 5 fluid ounces per minute. Express this rate of flow in gallons per hour. Round your answer to the nearest hundredth. help!!!
Answer:
2.34 gallons per hour
Step-by-step explanation
5 fluid ounces = 0.0390625 gallons
60 min = 1 hour
0.0390625 x 60min = 2.34 gallons per hour
5284 Ib = ________ tn ________ Ib. show your work
Answer:
2 tons and 1824 pounds
Step-by-step explanation:
Ton= 2,000 pounds
We know that 2,000 will go into 5824 twice, resulting in 4,000. Subtract 4,000 from 5,284, and you will have an answer of 1284. 1,284 does not go into a ton, therefore you have a remainder of 1,284 pounds.
Can some one help me plzzz will give brainiest
Answer:
3rd choice Hoped this helped :_)
Step-by-step explanation:
Brainliest plz ^
Find the equation for the
following parabola.
Vertex (2, 3)
Focus (7,3)
Answer:
b
Step-by-step explanation:
formula
(y-k)^2 = 4a(x-h) horizontal parabol
a = 7 - 2 =5
(y-k)^2 = 4*5*(x-h)
(y-k)^2 = 20(x-h)
k=3 , h=2
(y-3)^2 = 4a(x-2)
The simple linear regression equation can be written as E [Y] = Bo + B1X. The symbol X represents the (a) estimated or predicted response (b) estimated intercept (c) estimated slope (d) explanatory variable
The symbol X in the simple linear regression equation E[Y] = Bo + B1X represents the explanatory variable. This variable is also known as the independent variable or predictor variable.
It is the variable that is used to explain or predict the response variable, Y. In the context of the regression equation, X is typically a numerical or continuous variable. It represents the input or input values that are used to estimate or predict the expected value of the response variable, Y. In simple linear regression, the equation E[Y] = Bo + B1X describes the relationship between the explanatory variable X and the expected or average value of the response variable Y. The coefficients Bo and B1 represent the estimated intercept and slope, respectively. The intercept Bo represents the expected value of Y when X is equal to zero, while the slope B1 represents the change in the expected value of Y for each unit change in X. By using the estimated intercept and slope, the equation allows us to estimate or predict the value of Y based on a given value of X.
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