Answer:
18 miles from the airport
Answer:
18
Step-by-step explanation:
30-3=27 divided by 1.50=18
Find the three positive geometric means between 3 and 48/625
A. 9/5, 27/25, 81/125
B. 6/5, 12/25, 24/125
C. 3/5, 3/25, 3/125
D. 1, 1/3, 1/9
Answer:
B. 6/5, 12/25, 24/125Step-by-step explanation:
Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:
3, x, y, z, 48/625
Using the nth term of a geometric sequence to find the missing term.
[tex]Tn = ar^{n-1}[/tex] where:
a is the first term
n is the number of terms and
r is the common ratio
From the sequence, a = 3
[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]
Since the fifth term is 48/625 then:
[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]
To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.
[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]
when n = 3;
[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]
when n = 4;
[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]
The three positive geometric mean are 6/5, 12/25, 24/125
Answer:
A
Step-by-step explanation:
What is the length of the hypotenuse triangle
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m
M
I need help
Answer:
15
Step-by-step explanation:
Use the Pytago theorem.
AB^2=AC^2+BC^2
AB^2= 9^2 + 12^2
= 225
AB = [tex]\sqrt225}[/tex]
= 15
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)
Answer:
The slope is 3
Step-by-step explanation:
The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)
The slope of the line given is 3.
What is a slope of a line?Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Given is a line passing through points (-2, -3) (-4, -9), we need to find its slope,
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-
y₂-y₁ / x₂-x₁
Here, (x₁, y₁) and (x₂, y₂) are (-2, -3) (-4, -9)
So, the slope is = -9+3 / -4+2 = -6 / -2 = 3
Hence, the slope of the line given is 3.
Learn more about slopes, click;
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What is the image point of (3,-8) after a translation left 2 units and up 5 units?
A number cube is rolled 12 times and lands on 3 four times and on 5 three times. Find the experimental probability of landing on three.
Answer:
the answer is 27
Step-by-step explanation:
because you have to multiply 3x4 and 5x3 which will give you 15 and 12 which equals 27
The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?
Please help this question is fustrating
Answer: 3 feet by 10 feet rectangle
===========================================================
Explanation:
Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.
perimeter of rectangle = 2*(length+width)
P = 2*(L+W)
26 = 2(L+W) ... plug in given perimeter
26/2 = L+W .... divide both sides by 2
13 = L+W
13-W = L .... isolate L by subtracting W from both sides
L = 13-W
------
Area of rectangle = Length*Width
A = L*W
A = (13-W)W .... replace L with 13-W
A = W(13-W)
A = 13W - W^2 ..... distribution
30 = 13W - W^2 .... plug in given area A = 30
W^2 - 13W + 30 = 0 ... get everything to one side
(W - 10)(W - 3) = 0 ...... factor
W-10 = 0 or W-3 = 0 ...... zero product property
W = 10 or W = 3
----------
If the width is W = 10, then
L = 13-W
L = 13-10
L = 3 is the length
Or if the width is W = 3, then
L = 13-W
L = 13-3
L = 10 is the length
Either way, this is a 3 ft by 10 ft rectangle
--------
Check:
Area = length*width = 10*3 = 30 square feet
perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet
or you could say
perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet
we get the correct area and perimeter, so this confirms our answer.
− 5/6 x=−10/3 solve for X
Answer:
X = 4
Step-by-step explanation:
-5/6x = -10/3
x = -10/3 * -6/5
x = 60/15
x = 4
Answer:
The result for this equation is [tex]x =4[/tex] .
Step-by-step explanation:
Solve the equation for [tex]x[/tex] :
[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]
[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]
[tex]x = 4[/tex]
So, the answer for this equation is [tex]x =4[/tex] .
13th term of 2, 10, 18, 26
Answer:
192
Step-by-step explanation:
Add 8 started from 2 and keep going till you hit 192.
Answer:
a1 = 2 d = 8
n = 13
an = a1 + d(n-1)
a(13) = 2 + 8(13-1)
2 + 8(12)
2 + 96 = 98
Step-by-step explanation:
1. identify the terms
2. write down the arithmetic sequence formula and then replace the letters with their values.
3. do parenthesis first, then multiply by d.
4. add them together to get the 13th term
1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft
Answer:
192[tex]feet^3[/tex]
Step-by-step explanation:
The formula for the area of a rectangle is : [tex]length*width[/tex]
In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.
To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.
1) Multiply 6 by 4.
[tex]6*4=24[/tex]
2) Multiply 24 by 8.
[tex]24*8=192 feet^3[/tex]
Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25
Answer:
31
Step-by-step explanation:
The simplified form of 3root45 - root 125 + root 500
Answer:
the answer and explanation is in the picture
please like and Mark as brainliest
hope this helps
PLEASE ANSWER THIS ASAP
Answer:
i really dont know
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The slope (rate of change) are 2/5 or .4 for both of them
What is the area of sector GPH?
Answer:
Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)
Hope this helps!
Answer:
78.5 yards²
Step-by-step explanation:
Area of a sector:
Theta/360 × pi × r²
40/360 × 3.14 × 15²
78.5 yd²
Which data display shows the number of observations? Check all that apply.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 4 students have 0 siblings; 9 have 1; 5 have 2; 3 have 3; 2 have 4; 0 have 5; 1 has 6; 1 has 7.
A pie chart titled Sibling Survey. 1 sibling is the largest piece, then 2 siblings, then 0 siblings, followed by 3, 4, 6, and 7.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 13 students have 0 to 1 sibling; 8 have 2 to 3; 2 have 4 to 5; 2 have 6 to 7.
A box-and-whisker plot. The number line goes from 0 to 8. The whiskers range from 0 to 7, and the box ranges from 1 to 3.
A dot plot goes from 0 to 7. 0 has 4 dots, 1 has 9 dots, 2 has 5 dots, 3 has 3 dots, 4 has 2 dots, 5 has 0 dots, 6 has 1 dot, and 7 has 1 dot.
Answer: A,C,E
Step-by-step explanation:
I took the test and got it right
Answer:
the is a, c, and e
Step-by-step explanation:
hope this helps
last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days
work out the percent reduction
Answer:
30%
Step-by-step explanation:
this week:
4 × 7 = 28 hours
earns: 28 × 11 = £308
reduction: 440 - 308 = 132
% reduction
132/440 × 100
30%
Write and solve an inequality to calculate the swimming rate of a manatee swims for 15 miles in 3 hours
Step-by-step explanation:
D= rt
Where D is distance r is rate and t is time
15 < r3
15/3 < r
5< r
The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The swimming rate of a manatee swims for 15 miles in 3 hours is given as,
Rate > 15 / 3
Rate > 5 miles per hour
The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.
More about the rate link is given below.
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Help me out!!!! What is it
Answer:
92
Step-by-step explanation:
180-88=92
Supplementary angles equal 180 degrees
Answer:
92 degrees
Step-by-step explanation:
180-88=92
Which function is the result of vertically shrinking ƒ(x) = (x + 1)2 by a factor of 1∕6?
Question 6 options:
A) ƒ(x) = (6x + 1)2
B) ƒ(x) = (1∕6x + 1)2
C) ƒ(x) = 6(x + 1)2
D) ƒ(x) = 1∕6 (x + 1)2
Answer:
[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Step-by-step explanation:
Vertical stretch or shrink
[tex]y=c \cdot f(x)[/tex]
a stretch by a factor of c if c>1
a shrink by a factor of c if c<1
c is the factor
We are given that factor = 1/6 <1
So, Vertical shrink
So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]
We are given that [tex]f(x) = (x + 1)^2[/tex]
So,[tex]y=\frac{1}{6}(x+1)^2[/tex]
Option D is true
Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking
Answer:
ƒ(x) = (1∕6x + 1)^2
Step-by-step explanation:
PLZ HELP ME I DON'T WANNA FAIL THIS
Answer
Step-by-step explanation:
sentence 3 does not use a correct verb.
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
Let's say Jessie installed j axles. Convert words to math:
- "12 more" = + 12
- "the number of engine blocks her friend Gus installed yesterday" = g
Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:
j = g + 12
g = j - 12
Lets use the variables "a" and "g" to solve.
a = number of axles
g = number of engine blocks
If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).
Now, we have the expression a = g + 12
Solve for g since we are finding the number of engine blocks Gus Installed.
a = g + 12
~Subtract 12 to both sides
a - 12 = g + 12 - 12
a - 12 = g
Therefore, the answer is [ a - 12 = g ]
Best of Luck!
Simplify each rational expression. State any restrictions on the variable.
x-3/x+4 ÷ x^2-1/x
Show your work.
Answer:
x-3/x+4 ÷ x^2-1/x ; x ≠ -4, 0
Step-by-step explanation:
x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->
(x-3)/(x-4) * x/(x^2-1) -->
((x-3)(x))/((x-4)(x-1)(x+1))-->
No way to simplify it further-->
x-3/x+4 ÷ x^2-1/x
The amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function: y = 8.50x - 5. After 2 months, the laundromat made 20 dollars, but the linear function predicted they would make 12 dollars. What is the residual value for this data?
Answer:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
Step-by-step explanation:
For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:
[tex] y = 8.50 x -5[/tex]
And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:
[tex] \hat y = 8.5*2 -5 = 12[/tex]
And the residual is defined as:
[tex] e_ i = y_i -\hat y_i [/tex]
And replacing we got:
[tex] e_i = 20-12 = 8[/tex]
whats the product for (2z-3)^3
Answer:
8z^3-36z^2+54z-27
Step-by-step explanation:
(2z-3)^3
(2z)^3*(2z)^2*3+3*2z*3^2-3^3
8z^3-3*4z^2*3+3*2z*9-27
8z^3-36z^2+54z-27
Answer:
[tex]8z^3-36z^2+54z-27[/tex]
Step-by-step explanation:
[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]
Graph the equation of the line y=3x+4 and use it for your reference to find: Quadrants in which this graph is in. (Use the numbers 1−4)
Answer:
Quadrants: 1, 3, 4. (See explanation for further details)
Step-by-step explanation:
The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4
Answer:
1, 2, 3
Step-by-step explanation:
can someone helpme please
Answer: the first box is 1/5 since one of 5 squares are shaded.
The next box the answer is “there are 4 groups 1/5.
The next answer is 4/5
The last answer is 4/5
Step-by-step explanation:
1
2
3..
4
5
6
8
9
10
Which set of data does not contain any outliers?
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
99, 103, 91, 104, 109, 107, 97
131, 135, 131, 99, 138, 136, 140
Answer:
99, 103, 91, 104, 109, 107, 97
Step-by-step explanation:
The bold is the outlier
113, 115, 103, 154, 109, 111, 119
141, 151, 111, 142, 149, 140, 150
131, 135, 131, 99, 138, 136, 140
Please help me I’m about to break down
Answer:
the answer would be <RSV &<TSV
Answer:
RSV and TSV
Step-by-step explanation:
Supplementary angles are those that add to 180 degrees
RSV and TSV form a straight line so they add to 180
They are complementary angles
Unit 5. 4) Please help. Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a one-foot diameter. Will the helium tank provide enough helium for the display? Why or why not?
Use 3.14 for π in your calculations. Round your answer to the nearest tenth if necessary.
Answer:
The correct answer is option c.
Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!
Answer:
x = 18 units
w = 20 units
n = 6.9 units
Step-by-step explanation:
Given: Similar figures
To find: value of the variable in each pair of similar figures
Solution:
Figures are said to be similar if they have same shape and not necessarily same size.
Corresponding sides of similar figures are always proportional.
[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]
[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]
[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]
