The equivalent exponential expression for the radical expression \(\sqrt{2 + 3}\)
is \((2 +3)^{\frac{1}{2} }\).
How to find equivalent expression ?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expression may not look the same but substituting the variables will result to the same values.
Therefore, let's find the equivalent exponential expression for the radical expression can be found as follows:
\(\sqrt{2 + 3}\)
Using exponential law,
\(\sqrt{x} = x^{\frac{1}{2} }\)
Therefore,
\(\sqrt{2+3} = (2 +3)^{\frac{1}{2} }\)
learn more on expression here; brainly.com/question/29075417
#SPJ1
At what age do many children have the ability to do simple arithmetic problems?
a. Early childhood
b. Middle childhood
c. Infancy
d. Toddler
Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).
During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.
More on child development: https://brainly.com/question/6864069
#SPJ11
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
x = 6 , y = 30 , z = 66
Step-by-step explanation:
• All 4 sides of a rhombus are congruent
given one side is 59 , then all 4 sides equal 59
10x - 1 = 59 ( add 1 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
-------------------
2y - 1 = 59 ( add 1 to both sides )
2y = 60 ( divide both sides by 2 )
y = 30
--------------------
z - 7 = 59 ( add 7 to both sides )
z = 66
I need help asap help me with all questions and please put. The number for the question so I know thank you
Answer:
1. 6
2. 8
3. 80
4. 11
5. 60
6. 3
7. 30
8. 0.8
9. 5
10. 600
11. 150
12. 110
13. 15
14. 1.1
15. 36
Hope it helps
Michael has a coupon for $.50 off 6 yogurt cups. The selling price of each yogurt cup is $.55. He also bought milk for $3.59 a gallon, orange juice for $2.75 a container, Tide laundry detergent for $11.97 and Downy fabric softener for $4.35. He found a coupon in the store for $.85 off the Downy fabric softener. What is the final price?
The final price is $27.41
Social ArithmeticMichael will save $0.50 for every 6 yogurt cups, which means he will save $0.0833 on every yogurt cup purchased ($0.50/6).
If Michael buys 12 yogurt cups, he can apply the coupon twice and save $1.00 in total.
The cost of 12 yogurt cups is:
$6.60 ($0.55/cup x 12 cups).
The total cost of all the items he purchased is:
$6.60 (yogurt cups) + $3.59 (milk) + $2.75 (orange juice) + $11.97 (Tide) + $4.35 (Downy) - $0.85 (Downy coupon) = $28.41
After applying the coupon for the yogurt cups, the total cost is reduced by $1.00 to $27.41.
Therefore, the final price is $27.41.
Learn more about arithmetic here:
https://brainly.com/question/16590027
#SPJ1
What improper fraction is equal to 8 1/6?
Answer:
8 1/6 written as an improper factrion is 49/6
Step-by-step explanation:
Answer:
49/6
Step-by-step explanation:
8*6=48
48+1=49
You can creare an improper fraction by mulitplying the denominator with the whole number then add the numerator
Write the following expression in simplest form.
(3 + 16.4a) − (9 + 5.7a)
Answer:
10.7a - 6
Step-by-step explanation:
(3 + 16.4a) − (9 + 5.7a)= 3 + 16.4a - 9 - 5.7a
= 10.7a - 6
A pair of shoe that originally gosh $56.50 is on sales for 25% off. What is the price
If researchers report that the results from their study were significant, p< .05, this means that:
A.) If they conducted the study over they would get the same results less than 5 times in 100.
B.) The results are untrustworthy
C.) We would expect the results to occur by chance less than 95 times out of 100
D.) We would expect the results to occur by chance less than 5 times out of 100.
If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.
What does it indicate when researchers report results with p < .05?When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.
In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.
Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.
Learn more about hypothesis
brainly.com/question/29576929
#SPJ11
Someone
Help me please
The solution for the system of equations 2x - 3y = 50 and 7x + 8y = -10 by elimination are x = 10, y = -10
How to evaluate for the solutions of the equations by eliminationwe shall write the equations as:
2x - 3y = 50...(1)
7x + 8y = -10...(2)
multiply equation (1) by 7 to get equation (3) and equation (2) by 2 to get equation (4)
7(2x - 3y) = 7 × 50
14x - 21y = 350...(3)
2(7x + 8y) = 2 × -10
14x + 16y = -20...(4)
subtract equation (3) from (4) to eliminate x
14x + 16y - 14x + 21y = -20 - 350
37y = -370
divide through by 37
y = -10
put the value -10 for y in equation (1) to get x
2x - 3(-10) = 50
2x + 30 = 50
2x = 50 - 30 {subtract 30 from both sides}
2x = 20
x = 20/2 {divide through by 2}
x = 10
Therefore, the solution for the system of equations 2x - 3y = 50 and 7x + 8y = -10 by elimination are x = 10, y = -10
Know more about elimination here:https://brainly.com/question/28405823
#SPJ1
Tom rolls 2 fair dice and adds the
results from each.
Work out the probability of getting a
total more than 4
The probability of getting a total of more than 4 is 5/6.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, formula: P = favorable events/total events
Total outcomes = 36Favorable outcomes (sum more than 4) = 30(Refer to the image attached below)
Insert values in the formula as:
P = favorable events/total eventsP = 30/36P = 5/6Therefore, the probability of getting a total of more than 4 is 5/6.
Know more about probability here:
https://brainly.com/question/24756209
#SPJ9
need help in these 2 last questions!!!
Question 9
The point (30,15) means that x = 30 and y = 15 pair up together.
Similarly, (40,25) means we have x = 40 and y = 25 paired up.
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (25-15)/(40-30)
m = 10/10
m = 1
The slope is 1.
It tells us that each time y goes up by 1, x is also increasing by 1.
slope = rise/run = 1/1
rise = 1, run = 1
The rise is the change in y, the run is the change in x.
This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.
In short, the plant's height is increasing by 1 cm per day
Answer: Choice D========================================================
Question 10
y varies directly with x, so y = kx for some constant k.
We're then told that x = -1 and y = -2 pair up together.
Let's find k based on those items
y = kx
y/x = k
k = y/x
k = -2/(-1)
k = 2
So y = kx becomes y = 2x
Then we're asked to find x when y = -4
y = 2x
y/2 = x
x = y/2
x = -4/2
x = -2
Answer: Choice DSolve the following equations: e^−x^−e^x =3
We have to find the value of x for the given equation e^(−x^)−e^x =3. Here we can use a small trick to get the solution. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.
Given equation is e^(−x^)−e^x =3.We can replace e^-x with 1/e^x.Now the equation is e^(x) - 1/e^(x) = 3.
Let's take e^x as a variable and solve the equation:e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0.
This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2a.
Substituting the values, we get:x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2Hence the value of x is x = [3 ± sqrt(13)]/2.
We can solve the given equation e^(−x^)−e^x =3 using a small trick. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3. This is a quadratic equation in the form ax^2 + bx + c = 0.
Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.We have, e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.
We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2aSubstituting the values, we get:
\(x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2So the value of x is x = [3 ± sqrt(13)]/2.\)
Hence the solution of the equation e^(−x^)−e^x =3 is x = [3 ± sqrt(13)]/2.
To know more about quadratic equation :
brainly.com/question/30098550
#SPJ11
Of the estimated 19.7 million individuals in the u.s. who experienced a substance use disorder in 2017, the largest segment by far were those whose problem involved:______.
The largest segment of individuals in the U.S. who experienced a substance use disorder in 2017 were those whose problems involved alcohol.
This is based on the given information that states there were an estimated 19.7 million individuals with a substance use disorder.
Alcohol was the substance most commonly associated with substance use disorders in the U.S. in 2017.
The largest segment by far was those whose problems involved alcohol.
To know more about disorder, visit:
brainly.com/question/31122648
#SPJ11
how many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) length is 6 and the password must contain at least one digit. (b) length is 6 and the password must contain at least one digit and at least one letter.
The number of ways are = 1867866560
What is permutations and combinations?By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.Here, the differences between permutation and combination are described in detail. Here, we'll talk about both subjects with formulas, examples from everyday life, and questions that have been answered. Students can also work on the Permutation and Combination Worksheet to improve their understanding of this subject and learn shortcuts for answering more questions.According to our question-
The passwords contain only digits and lower-case letters.
Length is 6 and the password must contain at least one digit.
There are 26 lower case and 10 digits.
Total = 26+10=36
Length is 6 and the password must contain at least one digit.
Hence, The number of ways are = 1867866560
learn more about permutations and combinations click here:
https://brainly.com/question/28065038
#SPJ4
what is 5x - 3y + 2z, x =3, y = one third , z = 5 what does this equal
Answer:
asnwer 24
Step-by-step explanation:
x = 3
y = 1/3
z = 5
------------------------------
5( 3 ) - 3(1/3) + 2(5)
15 - 1 + 10 = 24
The four factors of 91
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
HELPPPPPPPPPPP NOW PLSSSS K12
Answer:
2
Step-by-step explanation:
Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.
Answer:
2
Step-by-step explanation:
can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
Read more on scale factor here: brainly.com/question/29967135
#SPJ1
A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
00
6
2
2
of
6
8
X
-2
-4
-6
do
00
4 -
Narl
The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the garden.
Answer:
\({\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}\)
\( \boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}\)
Step-by-step explanation:
\( \star\) Let the width of a rectangular garden be 'w'
\( \star\) Length of a rectangular garden = 6 + w
\( \star\) Perimeter of a rectangular garden = 32 feet
\( \longrightarrow\) Finding the width of a rectangular garden :
\( \boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}\)
\( \mapsto{ \text{32 = 2(6 + w + w)}}\)
\( \text{Step \: 1 \: : Collect \: like \: terms}\)
Like terms are those which have the same base
\( \mapsto{ \text{32 = 2(6 + 2w) }}\)
\( \text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}\)
\( \mapsto{ \text{32 = 12 + 4w}}\)
\( \text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}\)
\( \mapsto{ \text{4w + 12 = 32}}\)
\( \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}\)
\( \mapsto{ \text{4w = 32 - 12}}\)
\( \text{Step \: 5 \: : Subtract \: 12 \: from \: 32}\)
\( \mapsto{ \sf{4w = 20}}\)
\( \text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}\)
\( \mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}\)
\( \text{Step \: 7 \: : Calculate}\)
\( \mapsto{ \text{w = 5}}\)
Width of a rectangular garden = 5 feet
\( \longrightarrow\) Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden
\( \mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}\)
\( \longrightarrow\) Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :
\( \boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}\)
\( \mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}\)
\( \mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}\)
Area of a rectangular garden = 55 ft²
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
In a survey of 1003 people, 59% said that they have never hesitated to give a handshake because they had a fear of germs. If an independent pollster wanted to conduct another survey, how many people must be surveyed
Answer:
592 people must be surveyed
Consider w1 = –3i and w2 = –2. What is the result of subtracting w2 from w1?
Answer: C. 2-3i
Step-by-step explanation:
edge2020
The subtraction is (-2 + 3i). The correct option is D.
What is subtraction?The method of decreasing one quantity from the other quantity is called subtraction. For subtraction, we use ( - ) as a mathematical symbol.
Given that the substract w₂ = –2 from w₁ = –3i.
The subtraction will be calculated as:-
S = w₂-w₁
S = -2 - (-3i)
S = -2 + (-3i)
Therefore, the subtraction is (-2 + 3i). The correct option is D.
To know more about subtraction follow
https://brainly.com/question/4721701
#SPJ2
Verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem
Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.
To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1
= -t/2 (when t = 2)
y_2'(t) = -t/2
= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0
= 1
y_2(0) = -0^2/4
= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.
To know more about initial value visit:
https://brainly.com/question/17613893
#SPJ11
A 54 kg skier starts from rest at the top of a snow-covered hill, reaching a velocity of 12. 0 m/s in 5. 0 s. What is the net force acting in the skier?
Acceleration of the skier can be calculated as: Mass of the skier, m = 54 kg Initial velocity, u = 0 m/s Final velocity, v = 12 m/s Time taken, t = 5 seconds.
v = u + at Where a is the acceleration of the skier .a = (v - u) / ta = (12 m/s - 0 m/s) / 5 s a = 2.4 m/s²Force can be calculated by the formula :F = ma Where F is the net force, m is the mass of the object and a is the acceleration. F = 54 kg × 2.4 m/s²F = 129.6 N Net force acting on the skier is 129.6 N.
Learn more about Acceleration here:
https://brainly.com/question/19537384
#SPJ11
A widget manufacturer's expense function is
E = 6.00 q + 11,000
What are the variable costs to produce one widget?
The variable costs to produce one widget is 6.00
How to determine the variable costsFrom the question, we have the following parameters that can be used in our computation:
E = 6.00 q + 11,000
The variable cost is the slope of the relation
Using the above as a guide, we have the following:
Fixed cost = 11000
Variable cost = 6.00
The above parameters mean that
The variable cost is 6.00
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
What are the 3 important POST-implementation activities?
The three important post-implementation activities are evaluation and review, training and support, and maintenance and optimization.
After the implementation of a project or system, several important activities need to be carried out to ensure its success and ongoing effectiveness.
Evaluation and Review: This activity involves assessing the outcomes and performance of the implemented project or system. It includes gathering feedback from users, stakeholders, and other relevant parties to evaluate its functionality, efficiency, and user satisfaction. The evaluation helps identify any issues, shortcomings, or areas for improvement.
Training and Support: Post-implementation, providing adequate training and support to users is crucial. This involves conducting training sessions to familiarize users with the system's features, functionalities, and best practices. Ongoing technical support and assistance should be available to address user queries, troubleshoot issues, and ensure smooth operations.
Maintenance and Optimization: Regular maintenance is necessary to ensure the continued functioning and stability of the implemented project or system. This includes activities such as bug fixing, software updates, security patches, and performance optimizations. Monitoring system performance, collecting user feedback, and implementing necessary changes or enhancements contribute to the system's long-term success and efficiency.
By engaging in these post-implementation activities, organizations can effectively evaluate, support, and maintain the implemented project or system, maximizing its benefits and addressing any challenges that may arise.
learn more about optimization here
https://brainly.com/question/14914110
#SPJ11
The table at the right shows the number of tornadoes that were recorded in the U.S. in 2008. Error while snipping.
a. Draw a histogram to represent the data.
Here are the instructions on how to create a histogram based on the given data.
To create a histogram representing the data, you can follow these steps:
1. Determine the range of the data. Find the minimum and maximum values in the given table.
2. Determine the number of intervals or bins you want to use for the histogram. This can be based on the number of data points and the desired level of detail in the representation. Generally, 5 to 15 bins are used.
3. Divide the range of the data into equal intervals based on the number of bins chosen. Each interval should cover an equal range of values.
4. Count the frequency or number of occurrences of tornadoes within each interval. This will give you the height or frequency of each bar in the histogram.
5. Plot the intervals on the x-axis and the corresponding frequencies on the y-axis. Draw rectangles (bars) for each interval, where the height of the bar represents the frequency.
6. Label the x-axis and y-axis appropriately to provide context for the data being represented.
By following these steps, you can create a histogram to represent the given data on the number of tornadoes recorded in the U.S. in 2008.
Visit here to learn more about histogram brainly.com/question/16819077
#SPJ11
how many inches of snow does it take to equal the moisture in 1 inch of rain
Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 7x – 14 6x2 (x – 2) 7(x – 2) Which is the completely factored form of his polynomial? (6x2 7) (x –2) (6x2 – 2) (x 7) (6x2 2) (x – 7) (6x2 – 7) (x 2).
The completely factored form of the Wen's polynomial, which has the four terms initial, is,
\((6x^2+7)(x-2)\)
What is the factor of polynomial?The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
Wen is factoring the polynomial, which has four terms.
\(6x^3 - 12x^2+ 7x - 14\) '
Take out the greatest common factor from the equation and make separate groups as,
\(6x^2(x - 2)+ 7(x - 2)\\(x-2)(6x^2+7)\)
Rearrange the above equation as,
\((6x^2+7)(x-2)\)
Thus, the completely factored form of the Wen's polynomial, which has the four terms initial, is,
\((6x^2+7)(x-2)\)
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Answer:
A
Step-by-step explanation:
Trust me
If the measurements of a quantity are governed by the Gauss distribution function , the probability of obtaining a value between and is
The probability of obtaining a value between two points will always be a positive value between 0 and 1.
If the measurements of a quantity are governed by the Gaussian distribution function (also known as the normal distribution), we can calculate the probability of obtaining a value between two specified points using the cumulative distribution function (CDF) of the normal distribution.
The CDF of the Gaussian distribution represents the probability that a random variable takes on a value less than or equal to a given point. To find the probability of obtaining a value between two points, we can subtract the CDF values corresponding to the lower and upper bounds.
Mathematically, the probability of obtaining a value between a lower bound (let's call it 'a') and an upper bound (let's call it 'b') can be calculated as follow
P(a < x < b) = Φ(b) - Φ(a)
Here, Φ represents the CDF of the Gaussian distribution.
To calculate this probability, we need to know the mean (μ) and standard deviation (σ) of the Gaussian distribution. These parameters define the shape and characteristics of the distribution.
Given the mean (μ) and standard deviation (σ), we can use statistical software, tables, or programming languages to find the values of Φ(b) and Φ(a) and then subtract them to obtain the probability.
It's important to note that the Gaussian distribution is symmetric, and the total area under the curve is equal to 1.
for such more question on probability
https://brainly.com/question/13604758
#SPJ8