An experiment was performed to find the average speed of a grasshopper. The average speed has been plotted on the number line as marked by the arrow,
Hi
10 feet/sec
11 feet/sec
What is the speed of the grasshopper in feet per second?
B
33
C
Answers
Answer:
10.375ft/s
Step-by-step explanation:
We need to read the number from the plot. The range from 10 to 11 is divided into 8 segments, so each segment is (11-10)/8=0.125
The answer is at 10 + 3 segments, so 10 + 3*0.125 = 10.375
Related Questions
Simplify the expression
Answers
Answer:
A
Step-by-step explanation:
Answer:
your answer will be A the first one
Step-by-step explanation:
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT.
B = E
Answers
B = E is solely not possible to prove that triangle △ABC≅△DEF with any congruency condition so the correct option is (D) NOT.
What do we mean by the congruency of triangles?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.The triangle congruence criteria are as follows:
SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Hypotenuse-Leg, right angle)For the given figure it is said that B=E and it is solely not possible to prove that △ABC≅△DEF with any congruency condition.
Therefore, B = E is solely not possible to prove that triangle △ABC≅△DEF with any congruency condition so the correct option is (D) NOT.
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The correct question is given below:
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similarly, then choose NOT.
B = E
Options:
(A) AA
(B) SAS
(C) SSS
(D) NOT
Pre-calculus: Write the quadratic function in standard form.
Answers
The quadratic function h(x) = x^2 - 12x + 36 is a quadratic function in standard form
How to write the quadratic function in standard form?The quadratic function is given as:
h(x) = x^2 - 12x + 36
Quadratic functions in standard form are represented as
h(x) = ax^2 + bx + c
Where the value of a is not 0
This means that we can conclude that h(x) = x^2 - 12x + 36 is a quadratic function in standard form
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PLEASE HELP NO TIME :(
Answers
Using proportions, we have that:
A. 0.05x + 0.4(10 - x) = 0.2(10).
B. You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In item A, we have that the total amount that she has is 20% acid of 10 liters, hence:
0.2(10).
She wants to split it into a 5% solution and a 40% solution, a total of 10 liters, hence the amounts to each solution are x and 10 - x, as follows:
0.05x + 0.4(10 - x).
Hence the equation is:
0.05x + 0.4(10 - x) = 0.2(10).
The solution for x is found as follows:
0.05x + 4 - 0.4x = 2.
0.35x = 2
x = 2/0.35
x = 5.7.
Hence, for item b:
You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
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What is 96,902,123 in expanded form
Answers
Answer: 90,000,000 + 6,000,000 + 900,000 + 2,000 + 100 + 20 + 3
Step-by-step explanation: you add each one and get 96,902,123
Para encriptar un
mensaje secreto se
va a utilizar una
clave privada que
es el producto de
dos números
primos. ¿Cuál de
los números NO
puede usarse para
la clave privada?
A.105
B.133
c.143
D.221
Answers
Answer:
c.143
Step-by-step explanation:
No estoy seguro de que esté Mal o mal
The coordinates of the endpoints of
DE
are D(–13,–10) and E(3,14). Point F is on
DE
and divides it such that DF:EF is 5:3.
What are the coordinates of F?
Write your answers as integers or decimals.
Answers
Using proportions, the coordinates of F are given as follows: F(-3,5).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Point F divides the segment such that DF:EF is 5:3, hence the point F is 5/8 of the way, that is:
F - D = 5/8(E - D).
The x-coordinate of F is given by:
x + 13 = 5/8(3 + 13)
x + 13 = 10
x = -3.
The y-coordinate of F is given by:
y + 10 = 5/8(14 + 10)
y + 10 = 15
y = 5.
The coordinates of F are given as follows: F(-3,5).
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Convert five hours into minutes
Answers
Answer:
300 minutes
Step-by-step explanation:
1 hour = 60 Minutes
60x5=300
Find the quadratic function with vertex (1,-2.9) and no intercepts.
Please help me I really just don't understand how to get the answer y+2.9 = -12(x-1)^2 as I need to mathematically prove this equation works.
Answers
Answer:
[tex]y+2.9=-12(x-1)^2[/tex]
Step-by-step explanation:
Vertex form of a quadratic function:
[tex]\boxed{y=a(x-h)^2+k}[/tex]
where:
(h, k) is the vertex.a is some constant.If a > 0, the parabola opens upwards.
If a < 0, the parabola opens downwards.
Given vertex: (1, -2.9)
Therefore:
h = 1k = -2.9Substitute the values of h and k into the formula:
[tex]\implies y=a(x-1)^2-2.9[/tex]
As the function has no x-intercepts, and the vertex is in Quadrant IV, the parabola will open downwards. Therefore, "a" will be negative. Without any further information, any number can be substituted for "a". Therefore, according to the given answer, let a = -12:
[tex]\implies y=-12(x-1)^2-2.9[/tex]
Note: If "a" was positive, the parabola would open upwards, which means there would be two x-intercepts (two points at which the curve intercepts the x-axis).
Finally, add 2.9 to both sides of the equation so that the equation is in the format of the given answer:
[tex]\implies y+2.9=-12(x-1)^2-2.9+2.9[/tex]
[tex]\implies y+2.9=-12(x-1)^2[/tex]
in jeff’s sample, the number of siblings each person has is as follows: one, two, three, four, and ten. what is the median number of siblings in his sample?
Answers
If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3
Given,
The number of siblings each person has = 1,2,3,4 and 10
Arrange them in ascending order =1,2,3,4 and 10
We know the median is the middle term of the ordered pair
The number of terms n= 5
Middle term is = [tex]\frac{n+1}{2}[/tex]
=[tex]\frac{5+1}{2}[/tex]
=3
The 3rd term is 3.
The median = 3
Hence, If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3
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What can you say about the 3s in 43,862 and 75,398?
Answers
Answer:
Step-by-step explanation:
43,862 - place value - 3,000
75,398 - place value - 300
they are also numbers
Hope it helps!!!
:)
Number 8 only is algebra
Answers
Use version 2 of the arc length formula to find the length of the curve defined by 16xy^2 - y^6 = 9 from (9/16,1) to (9/8,2)
Answers
The arc length of the curve is 1.3125
What do you understand by length of the curve?The length of an arc is the separation of two locations along a segment of a curve.
A defined integral between the two points is used to calculate the area under a curve between two points. Integrate y = f(x) between a and b's limits to find the area under the curve y = f(x) between x = a & x = b. Integration within the defined bounds can be used to calculate this area.
the arc length formula
[tex]$$L=\int_C d s=\int_a^b \sqrt{1+\left(\frac{d x}{d y}\right)^2} d y$$[/tex]
now
[tex]$$\begin{aligned}16 x y^2-y^6 &=8 \\y^2\left(16 x-y^4\right) &=8 \\16 x-y^4 &=8 y^{-2} \\16 x &=8 y^{-2}+y^4 \\x &=\frac{1}{2} y^{-2}+\frac{1}{16} y^4\end{aligned}$$[/tex]
[tex]\frac{d x}{d y}=-y^{-3}+\frac{1}{4} y^3[/tex]
now differential line element is
[tex]$$\begin{aligned}d s &=\sqrt{1+\left(\frac{d x}{d y}\right)^2} d y \\&=\sqrt{1+\left(-y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\sqrt{1+y^{-6}-\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{y^{-6}+\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{\left(y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\left(y^{-3}+\frac{1}{4} y^3\right) d y\end{aligned}$$[/tex]
now arc length of the curve in the given interval
[tex]$$\begin{aligned}L &=\int_C d s \\&=\int_1^2\left(y^{-3}+\frac{1}{4} y^3\right) d y \\&=\left[-\frac{1}{2} y^{-2}+\frac{1}{16} y^4\right]_1^2 \\&=-\frac{1}{2}\left(\frac{1}{2^2}-\frac{1}{1^2}\right)+\frac{1}{16}\left(2^4-1^4\right) \\&=\frac{\mathbf{2 1}}{\mathbf{1 6}} \approx \mathbf{1 . 3 1 2 5}\end{aligned}$$[/tex]
this is the arc length of the curve
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Find the distance between each pair of points.
(21,5) and (28,-1)
Answers
Answer:
9.22 units (3 s.f.)
Step-by-step explanation:
The distance between a pair of points can be found using the distance formula shown below, where [tex](x_1, y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate.
[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
Substituting the coordinates into the formula:
Distance between (21, 5) and (28, -1)
= [tex]\sqrt{(-1-5)^{2} + (28-21)^{2} } }}[/tex]
= [tex]\sqrt{(-6)^2+7^2}[/tex]
= [tex]\sqrt{85}[/tex]
= 9.22 units (3 s.f.)
Additional:
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What is the equation of the slant asymptote of the rational function f(x) = 4x^2+6x-1 / x+2?
Answers
Answer:
Hello,
y=4x-2
Step-by-step explanation:
1: slope.
[tex]\displaystyle \lim_{n \to \infty} \dfrac{f(x)}{x}\\\\= \lim_{n \to \infty} \dfrac{4x^2+6x-1)}{x(x+2)}\\\\= \lim_{n \to \infty} \dfrac{4x^2}{x^2}\\\\=\boxed{4}\\[/tex]
2:
[tex]\displaystyle \lim_{n \to \infty} (f(x)-4x)\\\\= \lim_{n \to \infty} (\dfrac{4x^2+6x-1}{x+2}-4x)\\\\= \lim_{n \to \infty} (\dfrac{4x^2+6x-1-4x^2-8x}{x+2})\\\\= \lim_{n \to \infty} (\dfrac{-2x-2}{x+2})\\\\= \lim_{n \to \infty} (\dfrac{-2x}{x})\\\\=\boxed{-2}\\[/tex]
Slant asymptote is y=4x-2
Evaluate (f+2)(g+8) , when f=4 and g=2.
Answers
(6)(10)=60
Answer:
60
Explanation below
elowHope this helps :)
Step-by-step explanation:
1. Substitute the variables with the given numbers.
(4 + 2) (2 + 8)
2. Add the numbers to get the sum.
(6) (10)
3. Since they are in parenthesis multiply the two numbers.
(6) (10) = 60
What is the median of 35, 2, 7, 33, 25, 70, 75, 40, 42, 12,
15, 7, 44, 20, 25, 3, 65, 62
Answers
Step by step explanation:
Usually when finding the median all you have to do is find the middle number but wont work if theres 2 numbers in the middle so in that case we find the middle pair of numbers, and then find the value that is half way between them. This is easily done by adding them together and dividing by two just like I’ve done when finding the answer to this question.
Hope this helps
Brainlyiest?
The sum of all proportions in a frequency distribution should be______.
Answers
helpp me teacher said this is a quadratic formula 3x2+x+1
Answers
Answer: 0.434
Step-by-step explanation:
Answer:
3 (x + 16) 2 + 11 12
Step-by-step explanation:
brainliest please
Charlie drove for 5 hours to get from his house to grandma’s house. He averaged 47 miles per hour on the trip. Write
and solve an expression that represents the approximate distance from Charlie’s house to grandma’s house.
Answers
Answer:
Answer:
420 miles
Step-by-step explanation:
Distance traveled per hour = 55 miles
Distance traveled in 6 hours = 55 * 6 = 330 miles
Distance of the trip = 330 + 90 = 420 miles
Step-by-step explanation:
Jorge works as a car salesman. He gets a commission of 3.5% on used cars and 191
5.4% on new cars. What was his commission for a month when he sold used cars
for a total of $16,583 and new cars for a total of $34,792?
Answers
The total commission of Jorge was $2459.173.
What is the percentage?Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) besides a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating the percentage.So,
3.5% commission of used cars.5.4% commission on new cars.Now,
3.5% of $16,583
16,583/100 × 3.5 = $580.4055.4% of $34,792
34,792/100 × 5.4 = $1,878.768Total commission: $580.405 + $1,878.768 = $2459.173
Therefore, total commission of Jorge was $2459.173.
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which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) lance gains 1 level each time he plays his favorite video game. he started at level 10. (2 points) f(x) g(x) h(x) the functions all have the same slope
Answers
According to the question, the points are [tex](-3,-10)[/tex] and [tex](-1,-7)[/tex] for the function [tex]f(x).[/tex]
The calculated slope for these values are as follows:
[tex]m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(-7-(-10))}{(-1-(-3))} = \frac{3}{2} = 1.5[/tex]
The slope for the function [tex]f(x)[/tex] is: [tex]m=1.5[/tex]
Now, the function [tex]g(x)=\frac{1}{2} x+3[/tex]
Using the standard formula that is [tex]y = mx+c[/tex] to calculate the slope for the function [tex]g(x).[/tex]
Slope(m) for [tex]g(x) = \frac{1}{2} = 0.5[/tex]
As per the question, lance gains [tex]1[/tex] level each time he plays the video game.
Therefore, [tex]slope = \frac{1}{1} =1[/tex]
Hence, the slope for the function [tex]h(x)[/tex] is [tex]1[/tex].
Therefore, the function [tex]f(x)[/tex] has the largest slope and it is [tex]1.5.[/tex]
What is the equation of the line?
To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.
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Pls help me with this
Answers
Answer:
ans) 4G and 6/x+y
Step-by-step explanation:
10) it says the product of both so when both multiply each other , we get the product
Round 45.8 to the nearest whole number
Answers
Answer: 46
Step-by-step explanation: 8 is closer to 10, so 45.8 would round to 46
ten students are taking both algebra and drafting. there are $24$ students taking algebra. there are $11$ students who are taking drafting only. how many students are taking algebra or drafting but not both?
Answers
25 students are taking algebra and drafting but not both.
How to find how many students are taking algebra or drafting but not both?The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions. A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values.
given that
10 students are taking both algebra and drafting.
24 students taking algebra.
11 students who are taking drafting only.
now, find how many students are taking algebra or drafting but not both?
from the question
10 students are taking both algebra and drafting.
24 students taking algebra.
so, subtract 10 in 24
24 - 10 = 14
so, 14 students are taking algebra only.
now, add the both students who are taking algebra and drafting.
11 + 14 = 25.
Hene, 25 students are taking algebra or drafting but not both.
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A 4-pound box of blackberries costs $16.64. What is the price per ounce?
Answers
Cost of 4 pound box of blackberries = $16.64
Cost of 1 pound box of blackberry = [tex]\bf\frac{\cancel{16.64}}{\cancel{4}}4.16[/tex]
Hence, the cost of 1 pound of blackberry is $4.16.
3
5
Dan reads chapters in
56
hours.
What is the unit rate in chapters per hour?
Write your answer in simplest form.
Answers
Answer:
How many chapters does Dan read in 56 hours?
Step-by-step explanation:
The perimeter of a geometric figure is the distance around the outside of the figure. The perimeter of a rectangle is 44 feet. The length of the rectangle is 6 feet more than the width. What is the measure of the width?
Write the equation for find the perimeter of the rectangle. (Use the variable w)
How fast is the second car traveling>
Answers
The width of the rectangle is 8 feet.
What is the Area of Rectangle?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.
Perimeter = 44
Length = width + 6
perimeter formula of rectangle = 2(L +W)
44 = 2(W+6 +W)
22 = 2W +6
11 = W + 3
W = 8
therefore , the width of the rectangle is 8 feet
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What is the standard notation for the following expression?
4.62 × 10⁻³
Answers
Answer:
Step-by-step explanation:
Calculate 10 to the power of −3 and get 1 over 1000
4.62(1/1000)
the answer is 231 over 50000 or 0.00462
Can someone help me plss
Answers
3x + y = 9
Let’s start by listing the equation in slope-intercept form:
y = -3x + 9
To get the standard form equation, we need to get the equation into the format of “Ax + By = C.” To do so, we add 3x to both sides of the equation. That would look like:
3x + y = -3x + 3x + 9
Now, we can simplify:
3x + y = 9
That is your final standard form conversion.