Answer:
7.7 seconds
Step-by-step explanation:
t = √(h / 4.9)
t = √(290.57 / 4.9)
t = √59.3
t ≈ 7.7
What is the value of the slope of a line with the equation: 20-5x?
Answer:
-5
Step-by-step explanation:
the slope is the variable in front of the x
the regular price of a tshirt is 14.80. today tshirts are on sale for 0.8 of their regular price. how much will eliason spend if he buys 6 tshirts today
Answer:(14.80-0.8)*6=84
Step-by-step explanation:
Answer:
71.04
Step-by-step explanation:
0.8×14.80=11.84
11.84×6=71.04
What is the slope of the line that goes through the points (1,-5) and (4,1)?
Answer:
D. 2
Step-by-step explanation:
(1 - -5)/(4 - 1) = 6/3 = 2
Answer: 2
Step-by-step explanation:
The slope of a line through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁). In this case, x₁ = 1, y₁ = -5, x₂ = 4, and y₂ = 1. So the slope is:
(1 - (-5))/(4 - 1) = 6/3 = 2
the equation of a circle whose center is at (1, 2) and radius is 5 is
Answer:
(x − 1)² + (y − 2)² = 25
Step-by-step explanation:
Equation of a circle is (x − h)² + (y − k)² = r², where (h, k) is the center and r is the radius.
Evaluate 2x+(x−y2) when x=8 and y=2
Answer:
20.
Step-by-step explanation:
2x + x - y^2; x = 8 and y = 2.
2(8) + 8 - (2)^2
= 16 + 8 - 4
= 24 - 4
= 20.
Hope this helps!
Answer:
= 20
Step-by-step explanation:
2x + (x - y²)
x = 8
y = 2
then:
2*8 + (8 - 2²)
= 16 + (8 - 4)
= 16 + 4
= 20
The grade point averages for 10 randomly selected students in an algebra class with 125 students are listed below. What is the effect on the width of the confidence interval if the sample size is increased to 20?
Answer:
width of the confidence interval decreases if the sample size is increased to 20.
Step-by-step explanation:
There are some factors which affect the width of the confidence interval such as:
The decrease in the sample standard deviation decreases the width of the interval .
The decrease the confidence level decreases the width of the interval .
The increase in the sample size decreases the width of the interval .
In the given question the previous sample size was 10 which was then increased to 20. So this increase in sample size causes the confidence interval to decrease. This is because when sample size increases, it decreases the standard error. This interprets that the sample size is getting closer to true population size.
PLEASE HELP AND PLEASE MAKE IT BE CORRECT!!!!
5.5 Scaling a
Rectangle
A rectangle that is 2 inches by 3 inches has been scaled by a
factor of 7.
1. What are the side lengths of the scaled
copy?
2.Suppose you want to scale the copy back to it’s original size.What scale factor should you use?
Answer:
1) 14 by 21
2)7
Step-by-step explanation:
i Dint do the complete work i am not sure.
The side lengths of the scaled copy would be 14 by 21 and If you want to scale the copy back to its original size then you should use a scale factor that would be 1/7.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7 which is given in the question.
As we know scale factor is the ratio of sides in the original image and the image after dilation.
So the side lengths of the scaled copy would be 14 by 21
If you want to scale the copy back to its original size
Therefore, you should use a scale factor that would be 1/7.
Learn more about the Scale images here:
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how do i solve this absolute value equation |x-2| + 5 = 2?
Answer:
No solutions
Step-by-step explanation:
First, isolate the absolute value:
|x-2| + 5 = 2
|x - 2| = -3
An absolute value can never equal to a negative number
So, there are no solutions
Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
As we know that the formula for calculating the final amount or maturity amount is given by;
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.
4 hundred thosands 16 thousands 4 hundreds 21 tens 12 ones equals what
Answer:
56622
Step-by-step explanation:
Simplify into numbers.
40000 + 16000 + 400 + 210 + 12
Add.
56622
The value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622
Given,
4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones
We need to find the number that equals the given above.
What is the place value of a number?Example:
456789
4 - hundred thousands
5 - ten thousands
6 - thousands
7 - hundreds
8 - tens
9 - ones
Find the number for 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones.
4 hundred thousands = 400,000
16 thousands = 16,000
4 hundreds = 400
21 tens = 210
12 ones = 12
We get,
= 400,000 + 16,000 + 400 + 210 + 12
= 416622
Thus the value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622
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If EF = 4x + 15 and FG = 39 and EG = 110. Find the value of EF.
Answer:
EF + FG = EG Plug in the given values
4x + 15 + 39 = 110 Combine like terms (15 and 39)
4x + 54 = 110 Subtract 54 from both sides
4x = 56 Divide both sides by 4
x = 14
the value of all things needed to create the product
Answer:
All of the functions required to transform inputs into outputs (goods and ... provide all of the materials and supplies required to create finished products and deliver ... System for determining the right quantity of various items to have on hand
Step-by-step explanation:
Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?
Answer:
48 died
Step-by-step explanation:
2 out of 5 survived that means 5-2 = 3
3 out of 5 died
Multiply that fraction that died by the total number
3/5 * 80
48
Emily made 75% of the basket she attempted .If she make 9 basket ,how many attempts did she make.
Answer:
6.75
Step-by-step explanation:
9x0.75=6.75
Answer:
Correct answer is 6.75
Step-by-step explanation:
75% x 9 = 6.75
Two separate samples receive two different treatments. The first sample has n = 9 with SS = 710, and the second has n = 6 with SS = 460. Compute the pooled variance for the two samples.
Answer:
The pooled variance for the two samples is 90
Step-by-step explanation:
Here in this question, we are interested in computing the pooled variance for the two given samples.
From the question;
n1 = 9
ss1 = 710
n2 = 6
ss2 = 460
The pooled variance can be calculated using a mathematical formula as shown below;
S^2 =( ss1 + ss2)/(n1 + n2 -2)
where S^2 refers to the pooled variance of both samples.
Plugging the values into the equation, we have ;
S^2 = (710 + 460)/9 + 6 -2 = 1170/13 = 90
Ms. Maitner and Mr. Grote play each other in FIFA on Xbox 360. They score a total of 74 points. If Ms. Maitner scores 16 more points than Mr. Grote, what is the final score?
Answer:
Mr. Grote: 29, Ms. Maitner: 45
Step-by-step explanation:
x = number of points Mr. Grote scored
x + 16 = number of points Ms. Maitner scored
x + x + 16 = 74
x + x = 58
2x = 58
x = 29
29 + 16 = 45
PLEAE HELP ME OUT HURRY!!!
Angle Relationship:
Angle m=
Angle k=
Angle h=
Angle p=
Angle q=
Angle f=
Angle g=
Angle s=
Angle r=
Angle u=
Angle v=
Answer:
m = 123°
k = 57°
h = 123°
p = 99°
q = 81°
f = 99°
g = 81°
s = 42°
r = 57°
u = 57°
v = 123°
Step-by-step explanation:
Using basic angle relationships, we should be able to tell these angles easily.
If the 57° is supplementary to m, then m will be [tex]180 - 57 = 123[/tex] degrees.
k is also supplementary to m, so k is [tex]180-123=57[/tex] degrees - we also know this because it is an alternate interior angle to the other 57°.
h is an alternate interior angle to m, so h is the measure of m : 123°.
q is the same measure as the 81° angle, since they are corresponding angles. q is also 81°.
p is supplementary to q, so p is [tex]180-81=99[/tex] degrees.
f is an alternate interior angle to p, so f is also 99°.
g is also an alternate interior angle to q, so g is 81°.
The measure of s will be [tex]180-k-g[/tex] since all 3 sides of a triangle add up to 180°: so [tex]180-57-81=42[/tex] degrees.
r will be supplementary to the 81° angle and s, 42, so r is [tex]180 - 81 - 42=57[/tex] degrees.
u is an alternate interior angle to r, so u is also 57 degrees.
v is supplementary to u, so v will be [tex]180-57=123[/tex] degrees.
Hope this helped!
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end? a;line b;distance c;plane
Answer:
I believe that it is a line, since a line is infinite
Step-by-step explanation:
The triangular figures shown below are constructed with toothpicks. The pattern shows what happens with 1 triangle, with 2 triangles, and with 3 triangles. Describe a possible pattern. Assuming the pattern continues, answer the following questions. How many toothpicks would be needed for the 10th figure? How many toothpicks are needed for the nth figure? In which figure are exactly 102 toothpicks used?
Answer:
(a) 51
(b) [tex]T_{n}=a+(n-1)d[/tex]
(c) 20th figure
Step-by-step explanation:
The diagram is attached below.
The first triangle is formed using 6 toothpicks.
The second triangle is formed using 11 toothpicks.
The third triangle is formed using 16 toothpicks.
So, there is an increases of 5 toothpicks every time.
We can say that the number of toothpicks used to form n triangles are following an arithmetic progression with the first term as 6 and the common difference as 5.
The nth term will be:
[tex]T_{n}=a+(n-1)d[/tex]
(a)
Compute the number of toothpicks required for the 10th figure as follows:
[tex]T_{n}=a+(n-1)d[/tex]
[tex]T_{10}=6+(10-1)\times5[/tex]
[tex]=6+(9\times5)\\=6+45\\=51[/tex]
Thus, the number of toothpicks required for the 10th figure is 51.
(b)
Compute the number of toothpicks required for the nth figure as follows:
[tex]T_{n}=a+(n-1)d[/tex]
(c)
Compute the value of n for [tex]T_{n}=102[/tex] as follows:
[tex]T_{n}=102[/tex]
[tex]a+(n-1)d=102\\\\[/tex]
[tex]6+(n-1)\times 5=102[/tex]
[tex]5(n-1)=96[/tex]
[tex]n-1=19.2[/tex]
[tex]n=20.2\\n\approx 20[/tex]
Thus, the 20th figure will require exactly 102 toothpicks.
A family lives in a large tower apartment building, 10 floors high. Every day their son takes the elevator from the family’s apartment on the 10th floor to the ground floor and goes to school. When he returns in the afternoon, he uses the elevator to get to the fifth floor, and then uses the stairs for the remaining five floors. Why?
Answer:
Step-by-step explanation:
Considering that the question is a fun riddle, I will give a suitable fun answer.
The question says that the son goes to school, so we can assume that the boy is a young child. So, he is probably short.
So, while getting down the stairs, it is easy for him to press the button in the elevator to reach the ground floor as the button for ground floor is the on the bottom of the switch panel.
However, since he is short he cannot reach the button for the 10th floor after returning from school. He can only reach up to the button for the 5th floor. So, he travels up to the 5th floor by the elevator and from there he takes the stairs to reach the 10th floor.
Question 1
H
Write the slope intercept form for the equation of the line.
Do not leave spaces in your equation and do not use the WIRIS editor to enter you
Answer:
x=3
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(3, 0) & (3, 1)
(1 - 0) / (3 - 3) = 1 / 0
undefined = vertical line
Help! need the answer
Answer:
D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
Step-by-step explanation:
You need to subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x) =
= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)
Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.
= 4x^3 + 7x^2 - 2x - 1 - 4x + 2
Combine like terms.
= 4x^3 + 7x^2 - 6x + 1
Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
Answer:
4x^3+7x^2-6x+1
Step-by-step explanation:
f(x) = 4x^3 +7x^2 -2x-1
g(x) = 4x-2
f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)
Distribute the minus sign
4x^3 +7x^2 -2x-1 - 4x+2
Combine like terms
4x^3+7x^2-6x+1
What is the difference between a yard and a meter? give me the actual distance
difference in cm
Answer:
The difference is 8.56 cm. ( the metre is longer than the yard).
Step-by-step explanation:
1 yard = 36 inches
= 36 * 2.54
= 91.44 cm
1 metre = 100 cm.
8-i/6+i =(simplified in form a + bi)
Answer:
[tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i
Step-by-step explanation:
Given
[tex]\frac{8-i}{6+i}[/tex]
Multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 6 + i is 6 - i, thus
= [tex]\frac{(8-i)(6-i)}{(6+i)(6-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{48-14i+i^2}{36-i^2}[/tex] → substitute i² = - 1
= [tex]\frac{48-14i-1}{36+1}[/tex]
= [tex]\frac{47-14i}{37}[/tex]
= [tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i
If CB=2x+5 and DE=10, find the value of x
Step-by-step explanation:
see the attachment......
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We are given that:
[tex]CB=2x+5[/tex]
And that DE = 10. We want to determine the value of x.
Note that CB is the sum of CD and DB. In other words:
[tex]CB=CD+DB[/tex]
Similarly, DE is the sum of DB and BE. Thus:
[tex]DE=DB+BE[/tex]
From the second equation, we can subtract BE from both sides:
[tex]DE-BE=DB[/tex]
Substitute this into the first equation:
[tex]CB=CD+(DE-BE)[/tex]
We are given that CB is 2x + 5 and DE is 10.
From the diagram, we can also see that CD is 3x - 1 and BE is 8.
Substitute:
[tex](2x+5)=(3x-1)+((10)-(8))[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}[/tex]
In conclusion, the value of x is 4.
Help Solving This Problem
Answer:
65oz for 6.99 dollars
Step-by-step explanation
does a regular pentagon tessellate and why
Answer:
No, a regular pentagon does not tessellate.
In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:
(n-2)*180 (where n is the number of sides)
We plug in the number of sides (5) and get:
Angle sum = (5–2)*180
Angle sum = 3*180
Angle sum = 540
Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.
As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.
360/108 = 3.33333…
This means that a regular pentagon does not tessellate.
Hope this helps!
John buys a new set of golf clubs for $757.75, including tax. If the sales tax rate is 8.25%, then what is the cost of the set of golf clubs? How much did he pay in tax?
Answer: Total cost: $820.26 Paid in tax: $62.51
Step-by-step explanation:
First you have to get the Tax. Since the Tax is 8.25% MOVE the decimal 2 spots to the right so now it is 0.0825.
Multiply 0.0825 by 757.75 you will get 62.514375.
Dont get scared of the big number simply simplify and you get the tax.
if you want the total he paid add tax and original cost.
find pricipal when amount is rupee 4624 at6% and two yrs time ....
Answer:
Rs. 4128.57
Step-by-step explanation:
Given:
Principal = xAmount after 2 yrs = Rs. 4624Rate = 6% PASolving for x:
x + 2*6% of x = 4624x + x*12%/100 = 4624x*1.12 = 4624x= 4624/1.12x≈ 4128.57Jerome and eric start their hike at point a and follow the trail in the counterclockwise direction. they stop at point w to eat lunch. how manu total miles have jerome and erick hicked when they stop for lunch
Answer:
12.5 feet
Step-by-step explanation:
The distance in a coordinate geometry is calculated using: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]. Jerome and Eric have hiked 12.4 miles when they stopped to eat.
To do this, we make use of distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
From the figure, we have the following points:
[tex]A = (4,4)[/tex]
The other points between A and W in counterclockwise are:
[tex]B=(6,2)[/tex]
[tex]C = (8,2)[/tex]
[tex]D = (8,4)[/tex]
[tex]E = (10,6)[/tex]
[tex]W = (8,8)[/tex]
Distance AB is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(4 - 6)^2 + (4 -2)^2} =\sqrt{8} =2.8[/tex]
Distance BC is
[tex]BC = \sqrt{(6 - 8)^2 + (2 -2)^2} =\sqrt{4} =2[/tex]
Distance CD is
[tex]CD = \sqrt{(8 - 8)^2 + (2 -4)^2} =\sqrt{4} =2[/tex]
Distance DE is :
[tex]DE = \sqrt{(8 - 10)^2 + (4 -6)^2} =\sqrt{8} =2.8[/tex]
Distance EW is:
[tex]EW = \sqrt{(10-8)^2 + (6 -8)^2} =\sqrt{8} =2.8[/tex]
So, distance AW is:
[tex]AW = AB + BC + CD + DE + EW[/tex]
[tex]AW = 2.8 + 2+ 2 + 2.8 +2.8[/tex]
[tex]AW = 12.4[/tex]
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