Answer:
Step-by-step explanation:
add hen sub ten bom anwwerAmanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
Know more about a triangle here:
https://brainly.com/question/17335144
#SPJ4
Estimate 73% of 23.95
Answer: 304.8
Step-by-step explanation;
7300:23.95 = 303.8
Answer:20
Because I looked it up
In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.
According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.
What is the equation for the maximum speed?As stated in the problem, it is given by:
v = 2gh.
In which:
v is the maximum speed.g is the gravity.h is the height.In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.
v = 2gh
2 x 9.8h = 15
19.6h = 15
h = 15/19.6
h = 0.8.
The height at the top of the swing of the rider is of 0.8 m.
More can be learned about functions at https://brainly.com/question/25537936
Score on last try: 0 of 1 pts. See Details for more. Find the derivative of the function \[ f(x)=\sqrt[2]{\left(x^{2}-3\right)^{7}} \text { at } x=-2 \] \[ f^{\prime}(-2)= \] Question Help: B video B
To find the derivative of the function, we can use the chain rule and the power rule of differentiation.
What is chain rule?
The chain rule is a formula used to find the derivative of a composite function. If y = f(g(x)), then as per chain rule the instantaneous rate of change of function ‘f’ relative to ‘g’ and ‘g’ relative to x results in an instantaneous rate of change of ‘f’ with respect to ‘x’
Let u = x² - 3, then we can rewrite the function as:
f(x) = \((u^{7})^\frac{1}{2}\)
Using the chain rule and the power rule, we have:
f'(x) = (1/2) x (u^7)^(-1/2) x 7u^6 x 2x
Simplifying this expression, we get:
f'(x) = 7x(u^6) / (2(u^7)^(1/2))
Now, we can substitute x = -2 into this expression to find f'(-2):
f'(-2) = 7(-2)((-2)^2 - 3)^6 / (2(((-2)^2 - 3)^7)^(1/2))
Simplifying this expression, we get:
f'(-2) = -168/(2sqrt(19)^7) = -12.77 (rounded to two decimal places)
Therefore, f'(-2) = -12.77.
Learn more about chain rule on:
https://brainly.com/question/30895266
#SPJ1
Find the mean for the data set. 6, 14, 7, 4, 12, 8, 13, 4, 18, 14
Answer:
Concept:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
The values are given below as
\(6,14,7,4,12,8,13,4,18,14\)The image below shows how to calculate the mean
By substituting values, we will have
\(\begin{gathered} \bar{x}=\frac{\sum ^{}_{n\mathop=0}x}{n} \\ n=10 \end{gathered}\)\(\begin{gathered} \bar{x}=\frac{6+14+7+4+12+8+13+4+18+14}{10} \\ \bar{x}=\frac{100}{10} \\ \bar{x}=10 \end{gathered}\)Hence,
The mean = 10
To calculate the variance, we will use the formula below
\(^{}\sigma^2=\frac{\sum ^{\infty}_{n\mathop=0}(x-\bar{x})^2}{n}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ (x-\bar{x})^2=(6-10)^2+(14-10)^2+(7-10)^2+(4-10)^2+(12-10)^2+(8-10)^2+(13-10)^2+(4-10)^2+(18-10)^2+(14-10)^2 \\ (x-\bar{x})^2=16+16+9+36+4+4+9+36+64+16 \\ (x-\bar{x})^2=210 \end{gathered}\)\(\begin{gathered} \sigma^2=\frac{\sum ^{\infty}_{n\mathop{=}0}(x-\bar{x})^2}{n} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=\frac{210}{10} \\ \sigma^2=21 \end{gathered}\)Hence
The variance = 21
To calculate the standard deviation,
\(\begin{gathered} \sigma=\sqrt[]{variance} \\ \sigma=\sqrt[]{21} \\ \sigma=4.58 \end{gathered}\)Hence,
The standard deviation is = 4.58
In 1990, when the CPI-U was 132.4, the
Bucy family spent an average of $80 per
week on food. What was their weekly food
bill in 1994 for the same type and amount
of food? The CPI-U for 1994 was 144.3.
Find the answer to the nearest dollar.
Answer:
342.8 is the amount of money
please help, much appreciated
Answer:
b=5 a=6
Step-by-step explanation:
x^5/6=x^b/a
5/6=b/a
b=5, a=6.
Answer:
a = 6
b = 5
Step-by-step explanation:
\( \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }\)
Plug those values in.
\( \large{ {x}^{ \frac{5}{6} } = \sqrt[6]{ {x}^{5} } }\)
From the question, our a is 6 and b is 5.
math for 3rd grade plz help
Answer:
18 r2
Step-by-step explanation:
Answer:
59
Step-by-step explanation:
for the first answere
WILL MARK BRAINLIEST IF CORRECT
Answer:
it is actually 70
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
x + ( x + 2 ) + ( x + 4 ) = 210
3x + 6 = 210
3x = 204
x = 68
Remember that x is the smallest, so we have to add 4 to 68 to get the largest of the 3 consecutive even integers: 68 + 4 = 72.
How do I estimate 48x2.3?
Answer:
The answer is
110.4 in1d.p
110 to the nearest whole number
110.40 to the nearest hundredth
Step-by-step explanation:
48×2.3=110.4 in 1.d.p
there are x girls in a class, and their average height is m inches. in the same class, there are y boys with an average height of n inches. what is the average height of all the students in the class?
The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).
The average of any value is calculated by the formula -
Average = sum of the height of students ÷ total number of students
Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.
Sum of the heights of girls in a class = m × x
Sum of the height of boys in a class = n × y
Total number of students in a class = x + y
Keep the value in formula -
Average = (mx + ny)/(x + y)
Thus, average height is (mx + ny)/(x + y).
Learn more about average -
https://brainly.com/question/17029443
#SPJ4
In a certain investigation: 460 persons were involved in the study: and based on an enquiry on their age. it was known that 75% of them were 22 or more years. The following frequency distribution shows the age composition of the persons under study. Find the mean and modal life of condensers_ Mid; age in years No. of persons 18 f; 23 28 33 90 122 ; 38 56 48 24 20 33'
Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.
What does a percentage actually mean?In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.
Here,
The following algorithm must be used to determine the mean age:
=> mean = (all years added together) / (total number of persons)
The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25
=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)
According to the information provided, there are 460 people in total.
=> mean = 17745.25 / 460
=> mean = 17745.25 / 460
As a result, the average lifespan is roughly 38.552 years.
The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
a) Show that x = 3.
b) Given that y = 1/2 determine the value of k.
Answer:
a) 3x + ky = 8
ky = 8 - 3x
x – 2ky = 5
x - 2(8 - 3x) = 5
x - 16 + 6x = 5
7x = 21
x = 3 (shown)
b) x-2ky = 5
sub x = 3, y = 1/2
3-2k(1/2) = 5
-2k = 2
k = -1
in need of some help! rewrite the expression -6x^4y^3z^-7 so that there are no negative exponents
Answer:
\(-\frac{6x^4y^3}{z^7}\)
Step-by-step explanation:
\(=-6x^4y^3\frac{1}{z^7}\) <- Apply the exponent rule.
\(=-\frac{6x^4y^3\cdot \:1}{z^7}\) <- Apply the fraction rule.
\(=-\frac{6x^4y^3}{z^7}\)
92% of 3.9 =
pls answer
Answer:
35.88
Step-by-step explanation:
92/100 = x/39. 100x = 3588. x = 35.88
Mr. Roble is traveling to the store and drives 4 miles in 16 minutes. Write a unit rate that describes Mr. Roble's trip to the store.
Answer: 4 miles = 16 min
4 miles : 16 min
Step-by-step explanation:
You have to multiply by the same number
The unit rate that describes Mr. Roble's trip to the store is 0.25 miles per minute.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Mr. Roble is traveling to the store and drives 4 miles in 16 minutes.
∴ The unit rate that describes Mr. Roble's trip to the store is,
= (4/16) miles per minute.
= 1/4 or 0.25 miles per minute.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ5
uhhh please help lol
Answer: c
..........................
from a group of 8 men and 7 women, 5 persons are to be selected to form a committee so that at least 3 men are there on the committee. in how many ways can it be done?
5 persons are to be selected to form a committee so that at least 3 men are there on the committee, in 3192 ways the committee can be formed.
Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged. the variety of n distinct combinations, each taken r at a time,
We may have four males and one lady or three men and two women (5 men only).
∴ Required number of ways = (⁸C₃ x ⁷C₂) + (⁸C₄ x ⁷C₁) + ⁸C₅
= \(\frac{8*7*6}{3*2*1} *\frac{7*6}{2*1} + \frac{8*7*6*5*4}{4*3*2} *\frac{7}{1} + \frac{8*7*6}{3*2}\)
= 1176 + 1960 + 56
= 3192
Therefore, at least 3 men are there on the committee can be formed 3192 times.
Learn more about Combinations:
https://brainly.com/question/30436085
#SPJ4
Y = 1/4(4)^x ; x = 3/2
Evaluating the exponential equation:
y = (1/3)*4^x
on x = 3/2 gives y = 8/3.
How to evauate the exponential equation?Here we have the following exponential equation:
y = (1/3)*4^x
And we want to evaluate it on x = 3/2, to do so, we just need to replace the variable on the equation by the given number.
We will get:
y = (1/3)*4^(3/2)
The power part can be rewrite as:
y = (1/3)*√4^3
y = (1/3)*2^3
y = (1/3)*8 = 8/3
That is the value of the equation when evaluated on x = 3/2.
Learn more about exponential equations at:
https://brainly.com/question/11832081
#SPJ1
Abril and Alanis put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below:
Abril
y = 50x + 10
Alanis
y = 30x + 70
After how many weeks will Abril and Alanis have the same amount of money in their money boxes, and what will that amount be? (1 point)
3 weeks, $160
3 weeks, $210
4 weeks, $160
4 weeks, $210
Answer:
A. 3 weeks, $160Step-by-step explanation:
If the value of y is same for both then we have equal right sides of equations
50x + 10 = 30x + 70Solve this for x
50x - 30x = 70 - 1020x = 60x = 60/20x = 3Find the value of y
y = 50*3 + 10 = 150 + 10 = 160Correct choice is A
find the x and why intercepts of the graph of the equation x + 2y = 10
NEED HELP ASAP
Answer:
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation we need to understand what is an intercept. Intercept means to intersect/cut so x-intercept means the equation cuts the x-axis and y-intercept means the equation cuts the y-axis.
So if the equation cuts the x-axis the coordinate should be \((x,0)\) and if the equation cuts the y-axis the coordinate should be \((0,y)\) , and since the equation satisfies these both points in other words these two points lie on the line they can be put into the equation. So here we go,
For x-intercept
\(x+2y=10\\x+2(0)=10\\x=10\)
so the x-intercept is (10,0)
For y-intercept
\(x+2y=10\\0+2y=10\\2y=10\\y=10/2\\y=5\)
so the y-intercept is (0,5)
I also have attached an example of how intercepts looks like you can take a look i plotted the graph an you can see our answers check out.
The least expensive buttons cost
$0.28 each. Yellow bought all of
the buttons she could for $1.40 and
wore them proudly.
The number of buttons that she can wear proudly will be 5.
What are the ratio and proportion?The ratio is the division of the two numbers. In reality, ratios and proportions are only two sides of the same coin. A proportion is what results when two ratios are equal. Typically, fractions are used to define ratios and proportions. A ratio is created when we use the symbol ":" to denote a fraction, and a percentage is created when we use "::" to represent two ratios.
For example,
a/b, where a and b represent the numerator and denominator, respectively.
The relationship between two variables is called a proportion.
As per the given question,
Cost of one button = $0.28
The cost of buttons that she can wear = $1.40
A number of buttons = $1.40/$0.28 = 5
The number of buttons that she can wear proudly will be 5.
To know more about Ratio and Proportions, Check Out:
https://brainly.com/question/12024093
#SPJ1
A researcher wants to be able to predict first semester college grade-point averages with as much accuracy as possible, so she would like to use both high school grade-point averages and SAT scores as predictor variables. Which technique would be most appropriate to make this prediction
The most appropriate technique for the researcher to make this prediction would be multiple regression analysis, which would allow her to examine the relationship between the two predictor variables (high school grade-point averages and SAT scores) and the outcome variable (first semester college grade-point averages) while controlling for their effects on each other. This technique would help the researcher to determine the most accurate way to combine these two predictors in order to make the most accurate prediction possible.
A researcher aiming to predict first semester college grade-point averages (GPAs) using high school GPAs and SAT scores as predictor variables should use the Multiple Linear Regression technique. This technique allows the researcher to analyze the relationship between multiple predictor variables (high school GPAs and SAT scores) and a single continuous outcome variable (college GPAs), which can lead to more accurate predictions.
Learn more about multiple regression analysis here: brainly.com/question/30011167
#SPJ11
Can you please help me with this question
Answer:
F.
Step-by-step explanation:
Everything has to be less than 4 which leaves us with C and F, but Fs dot is shaded in which means it is less than or equal to but it is only less than so it is F.
Answer:
F
Step-by-step explanation:
If you look x is less than 4 meaning that all values are lower than 4. We also know that 4 is not included due to the fact that the less than symbol doesn't have a line under it. F is the only line that meets all of the criteria.
13. at the curb, a ramp is 11 inches off the ground. the other end of the ramp rests on the street 55 inches from the curb. write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.
y = (-11/55)x + 11 is the linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb.
To write a linear equation in slope-intercept form that relates the height y of the ramp to the distance x from the curb, we need to use the slope-intercept form of a linear equation: y = mx + b.
We know that the ramp is 11 inches off the ground at the curb, which means that the y-intercept (where the ramp meets the curb) is 11 inches:
y = mx + 11
To find the slope (m), we need to use the information that the other end of the ramp rests on the street 55 inches from the curb. We can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) are the coordinates of the curb (0, 11) and (x2, y2) are the coordinates of the other end of the ramp (55, 0).
m = (0 - 11) / (55 - 0) = -11/55
Now we can substitute the slope and the y-intercept into the equation:
y = (-11/55)x + 11
To learn more about linear equation, refer here:
https://brainly.com/question/29739212#
#SPJ11
14 POINTS AND BRAINLIEST EASY QUESTION LOOK AT IMAGES BELOW. THANKS!
PLEASE SHOW FULL SOLUTIONS!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE HELP ME! ANYONE!!
9514 1404 393
Answer:
x² +y² = 16
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so the diameter of a circumscribed circle is √2 times the diameter of an inscribed circle. Each of the two outer circles is √2 times the diameter of the one just inside it, so the outer circle is (√2)(√2) = 2 times the diameter of the inner circle.
The equation of the largest circle with radius 2·2=4 is ...
x² +y² = 16
Out of110110students,6666areabsentabsent. What percentage of the students areabsentabsent?
16.5
110110/6666=16.5
Evaluate rg + 2d when r = 3, g = 5, and d = 2
Answer:
rg+2d= 12
Step-by-step explanation:
(3+5)+2(2)
8+4=12
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation: