Renu's present age is 10 years and her mother is 40 years.
Let's take Renu's present age as x years.
And Renu's mother present age as 4x years.
So, after five years,
Renu's age = x+5 years
Renu's mother age = 4x+5 years
According to the question,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
x = 10
Therefore, Renu's present age is 10 years and Renu's mother present age is 40 years.
To know more about algebra and equations,
https://brainly.com/question/22399890
10) EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWERS
You bought a magazine for $5 and some notepads for $4 each. You spend total of $33. How much notepads did u spend in all
EXPLAIN!!
Answer: 7 notepads
Step-by-step explanation:
n=notepads
33=5+4n
4n=28
n=7 notepads
The perimeter of rectangle is 320m it's sides are in ratio of 5:3 then its area is
Answer:
Step-by-step explanation:
Let the sides be 5x n 3x so perimeter will be 2 (5x+3x) ATQ 2 (5x+3x) = 320 2*8x = 320 x= 320/16= 20 so the sides r 5* 20= 100 n 3*20= 60 so area = 100*60 m2= 6000m2
Which of the figures most closely reflects how the three species of spiny back are related to one another? A.) tree H B.) tree L C.) tree M D.) tree K.
Tree M most closely reflects how the three species of the spiny back are related to one another.
The branches of the tree, which are marked with the species names, demonstrate that the three species are all closely related, but still have distinct differences between them. For example, Species 1 and 2 share a relatively recent common ancestor, while Species 3 has a much more distant one. The species are represented as separate branches of the tree to show the different pathways of evolution that each species has taken.
In conclusion, Tree M most accurately reflects the evolutionary history of the three species of the spiny back. It shows that while they are all related, they still have distinct differences between them.
The complete question is:
A single species of fish, the three-species spiny back, once inhabited a large lake. At some point in the lake's history, lava flowed from a nearby volcano into the lake cutting it into three completely isolated mini-lakes. Despite the heat from the lava, a few individuals from the original population of spiny back survive in each mini-lake. Three million years later, a researcher finds that each mini-lake is inhabited by its own species of spiny back. Which of the following figures MOST closely reflects how the three species of spiny back are related to one another?
A.) tree H B.) tree L C.) tree M D.) tree K.
Know more about a Tree M here:
https://brainly.com/question/13830856
#SPJ4
Suppose q = f(L,K) =2L1/2 + 2K1/2 and the prices or labor and capital are w=$1, r=$1. What is the marginal cost in the long-run of the firm?
a.MC(q)= 2q2 /3
b.MC(q)= q / 4
c.MC(q)= q8 / 2
d.MC(q)= 4q3 / 3
e.MC(q)= 8q3 / 3
The marginal cost in the long-run for this production function is q/4, given that the prices of labor and capital are $1 each. Correct option is B.
To calculate the marginal cost in the long-run, we need to take the derivative of the production function with respect to q, and then divide by the price of the inputs (w and r in this case) to get the marginal cost.
The production function q = f(L,K) = 2L1/2 + 2K1/2 can be rewritten as q = 2L^0.5 + 2K^0.5.
Taking the partial derivative of q with respect to L gives us:
∂q/∂L = L^(-0.5)
Taking the partial derivative of q with respect to K gives us:
∂q/∂K = K^(-0.5)
We can now use the formula for the long-run marginal cost (LRMC) which is:
LRMC = (∂C/∂q) / (w/∂L + r/∂K)
where C is the cost of producing q.
Since the prices of labor and capital are $1 each, we can simplify the formula to
LRMC = (∂C/∂q) / (1/∂L + 1/∂K)
We can now substitute the partial derivatives we found earlier into this formula to get:
LRMC = ((1/L^0.5) + (1/K^0.5)) / (1/L + 1/K)
Simplifying the expression gives:
LRMC = (2/L + 2/K) / (1/L + 1/K)
LRMC = 2K / (L + K) + 2L / (L + K)
LRMC = 2(q/2) / q + 2(q/2) / q (Substituting q = 2L^0.5 + 2K^0.5)
LRMC = 2q / (2(q/2))
LRMC = q / 4
Therefore, the answer is option (b) MC(q) = q/4.
To learn more about marginal cost click on,
https://brainly.com/question/14923333
#SPJ4
what is the cube root of 8
Answer:
its 2
Step-by-step explanation:
because 2*2*2 is 8
Can someone pleaseee answer this
Answer:
Answer is in the attached file.
Answer:
x = 80
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
2x -48 = x +32
x = 80 . . . . . . . . . . add 48 -x to both sides
Define positive feedback in systems and explain how positive feedback is responsible for the loud screeching noise that is heard when a microphone gets too close to a speaker.
This is science pls help
Answer:
Positive feedback is a high-pitched sound that comes out of speakers when something about the arrangement or the calibration of the audio system is not suitable for the desired setting. And if you aren't talking about speakers positive feedback occurs to increase the change or output
Explanation:
When you speak in front of a large audience, you obviously have to be loud enough to be audible to everyone present. Sure, you can shout to be loud enough, but that’s not what I, or anyone else (including your doctor), would recommend. Therefore, you speak into a microphone (or simply, a mic). The mic transmits your voice to another device, known as an amplifier, which enhances the amplitude of the signals that it received from the mic. These ‘amplified’ signals are then sent to the speakers (audio output), where electrical signals are converted into sound and subsequently discharged to the audience. However, if the sound discharged from the speakers somehow reaches back to the mic (which ideally shouldn’t happen), the process discussed above kick-starts again, i.e., the mic transmits sound to the amplifier, which then transmits to the speaker, and back to the mic… and then this goes on and on. The result is that you hear a high-pitched squeal, which gets louder and louder (due to the reinforced amplitude as a result of multiple rounds of amplification) until it is corrected.
3. A soft drink company claims that their cans contain 12 oz of soda. You believe that they are under-filling their containers. A random sample of 36 cans gives an average of 11.85 oz. Given that the population standard deviation of soda cans is .45 oz, does this test result provide significant evidence that the company is under-filling? State the appropriate hypothesis, find the P-value, and determine whether this evidence is significant, at the significance level of 5%. 4. The mean throwing distance of a football for Marco, a high school freshman quarterback, is believed to be 42 yards, with a standard deviation of four yards. The team coach tells Marco to adjust his grip to get more distance. The coach records the distances for 50 throws. For the 50 throws, Marco's mean distance was 44 yards. The coach thought the different grip helped Marco throw farther than 42 yards. Conduct a hypothesis test using a=0.01.
3. The test result provides significant evidence that the company is under-filling their containers.
4. Based on the hypothesis test, it can be concluded that the grip adjustment had a significant impact on Marco's throwing distance.
3. Null hypothesis (H0): μ = 12 (the true mean filling volume is equal to 12 oz)
Alternative hypothesis (H1): μ < 12 (the true mean filling volume is less than 12 oz)
We'll use a one-sample t-test since we have the sample mean, the population standard deviation, and a sample size less than 30.
The test statistic can be calculated as:
Plugging in the values:
sample mean (X) = 11.85
population mean (μ) = 12
population standard deviation (σ) = 0.45
sample size (n) = 36
t = (11.85 - 12) / (0.45 / √36)
t = -0.15 / (0.45 / 6)
t = -0.15 / 0.075
t = -2 (rounded to two decimal places)
To find the p-value associated with this test statistic, we'll use a t-distribution table or statistical software.
With a sample size of 36 and a significance level of 5%, the degrees of freedom are 35.
Looking up the p-value for a t-score of -2 with 35 degrees of freedom, we find that it is approximately 0.026.
Since the p-value (0.026) is less than the significance level of 0.05, we reject the null hypothesis.
There is significant evidence to suggest that the company is under-filling their soda cans.
4.
Null hypothesis (H0): μ = 42 (the true mean throwing distance is equal to 42 yards)
Alternative hypothesis (H1): μ > 42 (the true mean throwing distance is greater than 42 yards)
We'll use a one-sample t-test since we have the sample mean, the population standard deviation, and a sample size of 50.
The test statistic can be calculated as:
Plugging in the values:
sample mean (X) = 44
population mean (μ) = 42
population standard deviation (σ) = 4
sample size (n) = 50
t = (44 - 42) / (4 / √50)
t = 3.53
To find the p-value associated with this test statistic, we'll use a t-distribution table.
With a sample size of 50 and a significance level of 0.01, the degrees of freedom are 49.
Looking up the p-value for a t-score of 3.53 with 49 degrees of freedom, we find that it is very close to 0 (essentially 0).
Since the p-value is less than the significance level of 0.01, we reject the null hypothesis.
There is significant evidence to suggest that Marco's grip adjustment helped him throw the football farther than 42 yards.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ4
Unit measure in order from smallest to largest Pounds, kilograms, ounces, grams
The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.
The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.
Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.
Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.
So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.
Learn more about Unit measures
https://brainly.com/question/777464
#SPJ4
due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
There are 100 gadgets within which 12 are not functioning properly. What is the probability to find 3 disfunctional gadgets within 10 randomly taken ones. 2. The probability
The probability to find 3 dysfunctional gadgets within 10 randomly taken ones can be calculated using the hypergeometric distribution. And the probability is given by P(X = 3) = (12C3 * 88C7) / (100C10), where "C" represents the combination formula.
To find the probability of finding 3 dysfunctional gadgets within 10 randomly taken ones, we can use the hypergeometric distribution formula.
The probability is given by P(X = 3) = (C(12,3) * C(88,7)) / C(100,10), where C(n,k) represents the number of combinations of choosing k items from a set of n.
Plugging in the values, we have P(X = 3) = (12C3 * 88C7) / 100C10.
Calculating the combinations, we get P(X = 3) = (220 * 171,230) / 17,310,309.
Simplifying further, P(X = 3) = 37,878,600 / 17,310,309.
Therefore, the probability of finding 3 dysfunctional gadgets within 10 randomly taken ones is approximately 0.2188 or 21.88%.
To learn more about “probability” refer to the https://brainly.com/question/13604758
#SPJ11
solve for x please hurry i will mark brainiest when it shows up if you answer correctly
The value of missing length x in the congruent triangles is determined as 3.6.
option D.
What is the length of segment of x?The length of segment x is calculated by applying congruency theorem as follows;
Consider triangle ABC,
AQ/AT = AB / AC
The given parameters include;
length AQ = 5
length AT = 6
length AB = 5 + 3 = 8
length AC = 6 + x
The value of missing length x is calculated as follows;
5/6 = 8/(6 + x )
5(6 + x) = 6(8)
30 + 5x = 48
5x = 48 - 30
5x = 18
x = 18/5
x = 3.6
Learn more about congruent lines here: https://brainly.com/question/30295250
#SPJ1
If we multiply three consecutive integers and then add the middle number to the result, the answer is always the middle number cubed.
5 × 6 × 7 + 6 = 216 = 63
10 × 11 × 12 + 11 = 1331 = 113
15 × 16 × 17 + 16 = 4096 = 163
Use what you have learned in this lesson to write a third-degree polynomial expression in factored form and standard form that represents this pattern. Show that the factored form is equivalent to the expression written in standard form. Substitute three different values for the variable to prove this pattern works for other numbers.
Step-by-step explanation:
Let use have a interger,n
Thus three consectice intergers can be represented by
\(n\)
\(n + 1\)
\(n + 2\)
Multiply, and we get
\(n(n + 1)(n + 2)\)
\(n( {n}^{2} + 3n + 2)\)
\(n {}^{3} + 3 {n}^{2} + 2n\)
Then add the middle number, n+1.
\( {n}^{3} + 3n {}^{2} + 3n + 1\)
We must prove that the middle number cubed = the equation.
Using the binomial theroem,
\((n + 1) {}^{3} = {n}^{3} + 3( {n}^{2} 1 {}^{1} ) + 3n( {1}^{2} ) + 1 {}^{3} \)
\((n + 1 ){}^{3} = {n}^{3} + 3 {n}^{2} + 3n + 1\)
So this is indeed true.
You can do the subsitue variables for n to prove it.
Ms. Davis' is one less than 7 dozen. Ms. Davis is 7.2 more than 60% of her mother's age. Ms. Davis daughter is 3.5 more than 1/2 her mother's age. How old are ms. Davis, her mom, and her daughter?
Answer:
Ms. Davis=83 years
Her mom=126.33 years
Her daughter=66.67 years
Step-by-step explanation:
Let her mother's age=x
Ms. Davis= 7 dozens - 1
=(7*12)-1
=84-1
= 83 years
Ms. Davis= 7.2 + 60% of x
83=7.2 + .6x
83 - 7.2= .6x
75.8= .6x
Divide both sides by .6
75.8 / .6 = x
126.33 years
Ms. Davis daughter = 3.5 + 1/2 of x
=3.5 + 1/2(126.33)
=3.5 + 126.33 / 2
=3.5 + 63.165
=66.665
Approximately 66. 67 years
8.1 geometry big ideas
Answer:
24
Step-by-step explanation:
16/12 is 1.333333333
20/15 is 1.333333333
18x1.333333333 is 24
can someone help please?
Answer:
x = 54
Step-by-step explanation:
In this line, I am going to assume lines l and m are parallel.
Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.
180 - 116 = 64.
The other angle's total value must be 64.
Now, to solve for x, subtract 10 from 64 [inverse operations].
64-10=54
The value of x in this equation is 54 degrees.
Please help me look at the photo
Answer:
I think the answers are E = 4 ¼ F = -6 ¼ D = -3 ¼
Apply the distributive property to create an equivalent expression.
(3−8y)⋅(−2.5)=
Answer:
-7.5+20y
Step-by-step explanation:
To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.
First, multiply 3 and -2.5 to get -7.5
Then, multiply -8y and -2.5 to get 20y.
Finally, add these values together
Solve for x. (6x+24) (12x-30)
Answer:
x+8=5
Step-by-step explanation:
53y+52=5 13−3x6=−16x+8=5
If f(x) = x³, then f¯ ¹(x) =
SOLUTION
From
\(\begin{gathered} f(x)=x^3 \\ to\text{ get f}^{-1}(x),\text{ we put y = f\lparen x\rparen,} \end{gathered}\)we have
\(\begin{gathered} y=f(x)=x^3 \\ y=x^3 \\ then\text{ make x the subject} \end{gathered}\)take the cube root of both sides
\(\begin{gathered} \sqrt[3]{y}=\sqrt[3]{x^3} \\ \sqrt[3]{y}=x \end{gathered}\)now replace y with x and x with f inverse,
we have answer as
\(f^{-1}(x)=\sqrt[3]{x}\)Please help me!!!!!!!!
A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h.
Has the driver traveled far enough to reach the office? Support your response.
Answer:
The driver has made it far enough to reach the office
Step-by-step explanation:
1,1
Some please help i don’t know how to solve this.
Answer:
b is not a linear function
Step-by-step explanation:
any equation with an x∧2 is not a linear function they produce a curved line.
Multiplying five digit numbers please help !!!
Answer:
419,820
Step-by-step explanation:
6997
× 60
-------
0000
+ 419,820
-----------------
419,820
Step 1: Multiply every number by 0
7 × 0 = 0
9 × 0 = 0
9 × 0 = 0
6 × 0 = 0
Step 2: Add a 0 and multiply the numbers by 6
0
6 × 7 = 42 (keep the 2 and move the "4" to the next number)
6 × 9 = 54 + 4 = 58 (keep the 8 and move the "5" to the next number)
6 × 9 = 54 + 5 = 59 (keep the 9 and move the "5" to the next number)
6 × 6 = 36 + 5 = 41 (keep 41 how it is)
419,820
I hope this helps!
florian bought his first car for $6,040. he saved up $1,000 gor a down payment and takes out a loan for the rest.the loan will allow him to pay $140 per month for the remaining balance. how much will he own on his car for 3 months?
Florian has to pay $2,013.3, then he own on his car for 3 months
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value. For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
6040 is the total amount
he has to repay in 3 months
dividing the total amount/3
6040/3
$2,013.3
learn more about unitary method click here:
https://brainly.com/question/24587372
#SPJ1
please help and you will get 40 points
Answer:
loolooloolool
Step-by-step explanation:
Answer:
3x = 40 * 3
40= x
120 juice
40 C
Explain what names you can call a square. Why does it have so many names? You could use drawings to help with your description.
Answer:
square, nice square, thick square, thin square, mean square, angry square, sad square.
Step-by-step explanation:
Answer:
You could call a square a quadrilateral, a rectangle, or a parallelogram. There's so many names because it has TWO sets of parallels.
Step-by-step explanation:
Factor each expression. 2m²-11 m+15 .
The factored form of the expression 2m² - 11m + 15 is (2m - 3)(m - 5) which is done by method of factorization.
Factorization of the expression 2m² - 11m + 15 can be done as follows:
To factor the given expression, we need to find two binomial factors that, when multiplied together, give us the original expression.
First, we observe the coefficient of the quadratic term, which is 2. We can write the expression as 2m² - 6m - 5m + 15 to help us factor it further.
Next, we look for two numbers whose product is equal to the product of the quadratic term coefficient (2) and the constant term (15) and whose sum is equal to the coefficient of the linear term (-11). In this case, those numbers are -3 and -5.
Now, we split the middle term (-11m) using these two numbers:
2m² - 3m - 5m + 15
Next, we group the terms:
(2m² - 3m) + (-5m + 15)
We factor out the greatest common factor from each group:
m(2m - 3) - 5(2m - 3)
Notice that we now have a common binomial factor, (2m - 3), in both terms. We can factor it out:
(2m - 3)(m - 5)
The expression 2m² - 11m + 15 factors as (2m - 3)(m - 5).
To know more about Factorization, visit
https://brainly.com/question/25829061
#SPJ11
use the definition of the definite integral or theorem 4 to find the exact value of the definite integral ∫(3x^4)dx
In this case, the integral evaluates to 243/5.
The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.
The definite integral of ∫(3x⁴)dx can be found by using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum: ∫(3x⁴)dx = lim n→∞ [3(x1⁴)Δx + 3(x2⁴)Δx + ... + 3(xn⁴)Δx], where Δx = (b-a)/n and xi = a + iΔx for i = 0, 1, ..., n. By simplifying this expression and taking the limit as n approaches infinity, we can find the exact value of the definite integral. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). Applying this theorem, we can find an antiderivative of 3x^4, which is (3/5)x⁵, and evaluate it at the limits of integration: ∫(3x⁴)dx = [(3/5)x⁵]3⁰ = 243/5.
The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum and simplify the expression to find the exact value. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). By finding an antiderivative of 3x⁴)and evaluating it at the limits of integration, we can obtain the exact value of the integral. In this case, the integral evaluates to 243/5.
The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.
To know more about integral visit:
brainly.com/question/31433890
#SPJ11
Joey bought cupcakes for his sister's birthday party. 90% of the 50 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer:
45 cupcakes.
Step-by-step explanation:
90% of 50 = 45.
Hope this helps :)
the actual value of a dependent variable will generally differ from the regression equation estimate due to
The actual value of a dependent variable will generally differ from the regression equation estimate due to unaccounted for random variation.
Regression Equation :
The algebraic representation of the regression lines is known as the regression equation. When the values of the independent variables are known, it is used to forecast the values of the dependent variable.
In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.
It can be expressed as follows:
\(Ye = a+bX\)
Dependent Variable:
The response variable is the one that scientists are attempting to predict or explain. Because it is reliant on another variable, it is also sometimes referred to as the dependent variable.
Independent Variable :
The term "explanatory variable" refers to a variable that is used to predict or explain the response variable. Because it is unrelated to the other variable, it is also sometimes referred to as the independent variable. The sequence of the variables is crucial in regression.
Learn more about regression equation here
https://brainly.com/question/14306566
#SPJ4