What is the term used to describe the distribution of a data set with one mode? b. Unimodal
A.
Step-by-step explanation:
Multimodal
❤❤❤❤❤❤❤❤❤❤❤❤❤
Find a
a. 4
b. 6
c. 9
ANSWER
C. 9
EXPLANATION
We use the Altitude Theorem,to find the value of a.
According to the altitude theorem, the height of the triangle of the triangle is equal to the geometric mean of the two segment it creates on the hypotenuse.
[tex]6 = \sqrt{4a} [/tex]
Square both sides to get,
[tex]36 = 4a[/tex]
[tex]9 = a[/tex]
The correct choice is option C.
Answer:
C
Step-by-step explanation:
the answer is 9
Multiple choice
How many degrees are in angle A?
There are 70 degrees in angle A.
the sum of 2 numbers is 21. one number is 18 less than two times the other. find the numbers.
hence the numbers are 8 and 13
hope it helps you!!!!!!!!
Final answer:
The two numbers that satisfy the conditions of summing up to 21 and one being 18 less than twice the other are 8 and 13.
Explanation:
To solve the problem, let’s denote the two numbers as x and y. According to the question, the sum of the two numbers is 21, which can be expressed as an equation: x + y = 21. Additionally, we are told that one number is 18 less than two times the other, which gives us another equation: x = 2y - 18.
We can use the method of substitution to solve these equations. First, we will solve the second equation for x, which we already have as x = 2y - 18. Then we will substitute this expression for x in the first equation: (2y - 18) + y = 21. Simplifying we get: 3y - 18 = 21. Adding 18 to both sides gives us 3y = 39. So, dividing both sides by 3 yields y = 13. Now that we have the value of y, we can substitute it back into the equation x = 2y - 18 to get x = 2(13) - 18 which simplifies to x = 8.
Thus, the two numbers in question are 8 and 13.
hurry i need this!!!!!!!!!!!!!
ANSWER
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
EXPLANATION
The given equation that models the height is
[tex]h(x) = - 2 \sin(\pi(t + \frac{1}{2} )) + 5[/tex]
This is sine a sine function that is reflected in the x-axis.
This function will coincide with the cosine function with the same amplitude, period, phase shift and vertical translation.
The function that can also model this height is
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
The last choice is correct.
in any inequality or equation a number that does not change is called
In any inequality or equation, a number that does not change is called a constant.
A number that does not change in any inequality or equation is called a constant.
What are inequalities?Equations are not always balanced on both sides using an "equal to" sign in mathematics. Sometimes it might be about a "not equal to" connection, meaning that something is superior to or inferior to another. In mathematics, an inequality is a connection between two numbers or other mathematical expressions that results in an unequal comparison.
A constant in algebra is a single integer or, occasionally, a letter (such as a, b, or c) that stands in for a fixed number. something constant or unalterable a number that is supposed not to change the value in a particular mathematical discussion, for example, a number that has a fixed value in a certain scenario, globally, or that is distinctive of some substance or instrument
a concept in logic with a predetermined name
Therefore, A constant is a quantity that does not alter in any inequality or equation.
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how many parallel sides can a triangle have
Answer:
a triangle will always have 0 parallel sides
Step-by-step explanation:
How large is the greatest possible error for measurement of 77 inches
Answer:
0.5
Step-by-step explanation:
Its too hard to explain
Please help and thank you
Answer:
I think the answer is B
I need help in this one please thankyou (explanation) ill give 20pts
Answer: (y-3)(4y-5)
Step-by-step explanation:
4*15= 60. 60= -12 x -5
4(y-12)(y-5)
(y-3)(4y-5)
Factor to find the zeros of the function defined by the quadratic expression.
4x2 − 24x − 108
A) x = 3 or x = 9
B) x = 3 or x = −9
C) x = −3 or x = 9
D) x = −3 or x = −9
ANSWER
C) x = −3 or x = 9
EXPLANATION
The given quadratic function is:
[tex]4 {x}^{2} - 24x - 108[/tex]
To find the zeros, we equate to zero.
[tex]4 {x}^{2} - 24x - 108 = 0[/tex]
Divide through by 4
[tex] {x}^{2} - 6x - 27 = 0[/tex]
Factor to get,
[tex] {x}^{2} + 3x - 9x - 27 = 0[/tex]
[tex]x(x + 3) - 9(x + 3) = 0[/tex]
[tex](x + 3)(x - 9) = 0[/tex]
Use the zero product property,
[tex]x = - 3 \: or \: x = 9[/tex]
Tell whether each number is a solution to the problem modeled by the following equation.
Mystery Number:
Six more than -7 times a number is 34. What is the number?
Let the mystery number be represented by n.
The equation is 6 + (-7)n = 34
TRUE or FALSE: The mystery number is -7.
Answer:
False
Step-by-step explanation:
6 + (-7)n = 34
Plug in -7 for n and see if it's true:
6 + (-7)(-7) = 34
6 + 49 = 34
55 = 34
No, it's not true, so the mystery number is not -7.
Don’t know how to do this type of problem !:(
Answer:
Step-by-step explanation:
Alright. I can't really explain much but i can get your answer.
AS A DECIMAL: 1.047197551196597746154214461093167628065723133125035273658
As a property:
π/3
Sorry if its wrong... I tried lol
Answer:
The answer would be 2
Step-by-step explanation:
write the number .00000000000000193 in scientific notation
Answer:
1.93 x 10^-15
Step-by-step explanation:
You want to move the decimal just past the first real number and count the spaces moved, which is 15. Since the decimal is being moved to the right the spaces moved will be negative. Therefore you remove the zeroes and get 1.93 times 10 to the negative 15th power.
scientific notation means, moving the dot in a way that only one integer is to its left, namely the in this case it'll look like 1.93, so we'll have to move the dot all the way from the left to the right that many slots.
[tex]\bf 0.00000000000000193\implies \stackrel{\textit{moved }\stackrel{\downarrow }{15} \textit{ slots to the right}}{0000000000000001.93}\implies 1.93\times 10^{\stackrel{\downarrow }{-15}}[/tex]
The graph of f(x) = x3 is given. Which equation will translate the graph 1 unit up?
A)
g(x) = x3 - 1
B)
g(x) = x3 + 1
C)
g(x) = -x3 + 1
D)
g(x) = (x - 1)3
Answer:
B: g(x) = x^3 + 1
Step-by-step explanation:
Please use " ^ " to denote exponentiation: f(x) = x^3.
This graph starts (increasing) in Quadrant III and grows without bound in Quadrant IV. It passes thru the origin (0, 0).
If we want to translate the graph 1 unit up, then the function f(x) becomes
g(x) = f(x) + 1, or x^3 + 1.
Answer:B: g(x) = x^3 + 1
Step-by-step explanation:
Need help with this math. find the Slope of a line That contains the points (5,6) (1, 4).
Answer:
The slope can 1/2 or 0.5
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The slope of a line is defined as ...
slope = (change in y)/(change in x)
Given two points, (x1, y1) and (x2, y2), the slope can be computed using ...
slope = (y2 -y1)/(x2 -x1)
It does not matter which points you call point 1 and point 2. You just need to be consistent.
Using the point values in the order given in the problem statement, we have ...
slope = (4 -6)/(1 -5) = -2/-4
slope = 1/2
The data given for a football kicked from the field follows a quadratic model, h(x) = - 3x2 + 18x +7 . Where h(t) is the height in feet and t is the in seconds. Using this model, at what time will the ball reach its maximum height
Answer:
The time at which the ball will reach its maximum height is t= 3 seconds.
Step-by-step explanation:
To find the the time at which the ball will reach its maximum height, we need to solve the model given - 3x2 + 18x +7
since h(t) is the height given we can re-write the equation as:
h(t)= -3(t)² + 18t +7
Differentiating the above equation
[tex]\frac{dt}{dh} = -6t + 18[/tex]
When the ball is at maximum height [tex]\frac{dt}{dh}=0[/tex]
0=-6t+18
-18 = -6t
=> t= -18/-6
=> t= 3
the time at which the ball will reach its maximum height is t= 3 seconds.
We can find the maximum height by putting value of t in equation:
h(3) = -3(3)²+ 18(3) +7
h(3)= -27 + 54 + 7
h(3)= 34 ft
Answer:
three seconds
Step-by-step explanation:
subtract 3x from 7x-3
Answer:
The answer is 4x-3 because all your doing is subtracting 3x from 4x
Fifty years ago, bed bugs were nearly eliminated in the United States by using of pesticides like DDT. Today bed bugs are back in beds and theaters. DDT is no longer used due to environmental issues. Pyrethrums are currently the top choice for bed bug infestations. Pyrethrums are especially useful to us because they generally have a stronger effect on bugs than on humans and animals.
Bed bugs have become resistant to even this chemical pesticide. What happened that allowed the bug population to increase?
A) the chemicals used currently are weaker
B) the chemicals no longer can penetrate bed bugs brains
C) the bed bugs of today are exactly the same as the bed bugs of fifty years ago
D) the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring
Answer:
The most reasonable Answer is *D.) the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.*
Step-by-step explanation:
Answer:
The answer is D) The bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.
Step-by-step explanation:
The bed bug population has increased because the bed bugs that survived the DDT years ago, reproduced new generations of chemical resistant offspring.
In a drawer, there are 8 knives, 8 spoons, and 5 forks. What is the probability of randomly drawing a knife or a spoon?
8+8=16 so 16/5 16÷5=3.2 32%
32% is the answer I think. Hope this helps
Answer:
32%
Step-by-step explanation:
8 + 8 = 16.
16/5
16 ÷ 5
= 3.2
= 32%
Can anyone please help me with this
Answer:
her total grade for class
Hope This Helps! Have A Nice Day!!
Plz help me with this
Answer: [tex]\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}[/tex]
Step-by-step explanation:
The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B
In the given function, [tex]B=\dfrac{6}{5}[/tex] → [tex]P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}[/tex]
Half of that period is: [tex]\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}[/tex]
Calculate the period for each of the options to find a match:
[tex]A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}[/tex]
Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k>0.
(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?
(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.
Answer:
a) Similar
b) Perimeter of rectangle 2 is k times the Perimeter of rectangle 1 (Proved Below)
c) Area of rectangle 2 is k^2 times the Area of rectangle 1 (Proved Below)
Step-by-step explanation:
Given:
Rectangle 1 has length = x
Rectangle 1 has width = y
Rectangle 2 has length = kx
Rectangle 2 has width = ky
(a) Are Rectangle 1 and Rectangle 2 similar? Why or why not?
Rectangle 1 and Rectangle 2 are similar because the angles of both rectangles are 90° and the sides of Rectangle 2 is k times the sides of Rectangle 1. So sides of both rectangles is equal to the ratio k.
(b) Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
Perimeter of Rectangle = 2*(Length + Width)
Perimeter of Rectangle 1 = 2*(x+y) = 2x+2y
Perimeter of Rectangle 2 = 2*(kx+ky) = 2kx + 2ky
= k(2x+2y)
= k(Perimeter of Rectangle 1)
Hence proved that Perimeter of rectangle 2 is k times the perimeter of rectangle 1.
(c) Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.
Area of Rectangle = Length * width
Area of Rectangle 1 = x * y
Area of Rectangle 2 = kx*ky
= k^2 (xy)
= k^2 (Area of rectangle 1)
Hence proved that area of rectangle 2 is k^2 times the area of rectangle 1.
Final answer:
Rectangles 1 and 2 are similar due to proportional dimensions. The perimeter of Rectangle 2 is proven to be k times the perimeter of Rectangle 1 by factoring out the scale factor. Similarly, the area of Rectangle 2 is k² times the area of Rectangle 1, as shown by multiplying the scaled dimensions.
Explanation:
(a) Yes, Rectangle 1 and Rectangle 2 are similar because the sides of Rectangle 2 are proportional to the sides of Rectangle 1. This means that the two rectangles have the same shape but different sizes, which is the definition of similarity in geometry.
(b) To prove that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1, consider the perimeter of Rectangle 1, which is 2x + 2y. When each dimension is multiplied by k, the new length is kx and the new width is ky, so the perimeter of Rectangle 2 is 2(kx) + 2(ky) = 2kx + 2ky. Factoring out the common factor of k gives k(2x + 2y), which is k times the perimeter of Rectangle 1.
(c) For the area of Rectangle 2, the area of Rectangle 1 is xy. After scaling by k, the new dimensions of Rectangle 2 are kx and ky, so its area is (kx)(ky) = k²(xy), which shows that the area of Rectangle 2 is k² times the area of Rectangle 1.
Please help on this math problem. :))
Answer:
[tex]15.23[/tex]
Step-by-step explanation:
First, we can make an equation by adding all the ages together and dividing it by the sum of the frequencies.
[tex](13*7)+(14*12)+(15*18)+(16*9)+(17*5)+(18*4)+(19*2)[/tex]
Now simplify.
[tex](13*7)+(14*12)+(15*18)+(16*9)+(17*5)+(18*4)+(19*2) = 868[/tex]
We can divide this number by the sum of the frequencies.
[tex]\frac{868}{7+12+18+9+5+4+2} \\ \\ \frac{868}{57} \\ \\ 15.23[/tex]
Answer:
Step-by-step explanation:
First you need to find the total number of years of all the people tracked.
The general formula is
Total years = age*frequency for all ages.
Age Frequency Total
13 7 91
14 12 168
15 18 270
16 9 144
17 5 85
18 4 72
19 2 38
Totals 57 868
The mean is the total number of years / total frequency
mean = 868/57
mean = 15.23
Complete the ratio
4 : ? = 1 : 6
I think the answer is 4:24
Answer:
4 : 24
Step-by-step explanation:
1:6
We need to make the 1 a 4, so we will multiply by 4
What we do to one side, we do to the other
1 *4 = 4
6*4 = 24
1: 6 becomes 4: 24
Nicole wants to join a health club she is considering be-fit club which charges a one time initiation fee of $160 plus a $40 per month membership fee. she is also considering get moving, which charges $55 per month with no initiation fee. for how many months of membership is be fit a better deal?
To find the answer, you have to set each one equal to each other.
(160 + 40x = 55x)
Now, you just solve for X.
55x - 40x = 15x
160 / 15 = 15 / 15x
This means 160/15 = x, or is equal to
10 2/3
Answer:
C is the answer
Step-by-step explanation:
A lake has a diameter of 65 feet and depth of 20 feet for ever 1000ft cost $44.43 how much water is required to fill the lake
Answer:
The lake's shape is a cylinder. The volume of a cylinder is given as: V=πhr^2 where r equals the radius, and h the depth. Therefre, the volume of the lake is:
V=πhr^2
V=π(20ft)(32,5ft)^2
V=66.364,1875 ft^3.
Given that 66.364,1875 ft^3 equals 496.44 gallons, we can say that 496.44 gallons of water is required to fill the lake.
If x = 15 in, y = 20 in, and z = 25 in, what is the surface area of the geometric shape formed by this net?
A. 1,650 in2
B. 2,100 in2
C. 1,100 in2
D. 1,800 in2
Answer:
the answer is D: 1800 square in
Step-by-step explanation:
find the area of the triangle
area = 1/2 bh
=1/2 (15 inch) (20 inch)
=150 square inch
***then multiply by 2 which gives you 300 square inch***
find the area of the 3 rectangular faces
A=lw
= (25 in) (15 in)
= 375 square inch
A = lw
= (25 in) (20 in)
= 500 square inch
A = lw
= (25 in) (25 in)
= 625 square inch
then add all 3 rectangular faces which equals to 1500 square inch
then add the triangular and rectangular
300 square inch + 1500 square inch = 1800 square inch
Answer:
The answer for study island would be D. 1,800 in2
hope i helped :)
the area of a rectangle with 16 square units. Use the grid to draw that the rectangle look like. Then shade the area. What are its dimensions?
Answer:
16=8x2
I hope this helps you!!
The possible values of the lengths and widths of the rectangle are (16, 1) and (8, 2).
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, The area of the rectangle is 16 square units.
Therefore, (length×width) = 16.
So, the possible dimensions are multiples of 16 which is,
(length, width) = (16, 1) (8, 2).
(4, 4) is not admissible as it would make it a square.
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WILL MARK BRAINLIEST!! PLEASE ANSWER AS FAST AS POSSIBLE !!! ANSWER QUESTIONS 1-5! THANKS!!!
Answer: 1. A Please give me a thanks and a brainly
Step-by-step explanation:
The cone shown has a diameter of 18 meters and a slant height of 15 meters .Which choice is closest to the lateral surface area? Use 3.14 to approximate.
Answer:
Cone diameter = 18 m therefore radius = 9 m
Lateral Area = PI * radius * slant height
Lateral Area = 3.14 * 9 * 15 = 423.90 square meters
Step-by-step explanation:
Final answer:
The lateral surface area of a cone with a diameter of 18 meters and a slant height of 15 meters is approximately 423.9 square meters, calculated using the formula LSA = πrl with π approximated as 3.14.
Explanation:
The student is asking about finding the lateral surface area of a cone with a given diameter and slant height, where the diameter is 18 meters and the slant height is 15 meters. To find the lateral surface area (LSA) of a cone, the formula LSA = πrl can be used, where 'r' is the radius of the base and 'l' is the slant height of the cone. Since the diameter is 18 meters, the radius is half of that, which is 9 meters. Using 3.14 as the approximation for π (pi), we can calculate the lateral surface area.
The calculation would be as follows:
Find the radius (r): Diameter / 2 = 18m / 2 = 9m.
Use the formula LSA = πrl: LSA = 3.14 * 9m * 15m.
Calculate the LSA: LSA = 3.14 * 135m².
LSA = 423.9m², which is the lateral surface area of the cone.
Therefore, 423.9 square meters is the closest approximation to the lateral surface area of the given cone.