Answer:
v = 18
Step-by-step explanation:
Given
79 = 61 + v ( subtract 61 from both sides )
18 = v
Insert two rational numbers between each of the following,
a. 5 and 11
c. 2 and 8
b. 26 and 34
d. 14 and 24
Answer:
a. 6 and 8.
c. 4 and 7
b. 29 and 30.
d. 17 and 23.
Step-by-step explanation:
The floor of a large ware house is rectangular in shape and its length is twice as long as its width. The area of the floor of the warehouse is 39,200 square feet. What is the length of the floor of the warehouse in feet?
Answer:
The length of the warehouse is 280 feet.
Step-by-step explanation:
Let A be the area of the warehouse floor, W be its width, and L be its length.
A = W * L
We know that the length is twice the width:
L = 2W
Substitute the second equation into the first equation and we get:
A = 2W * W
Solve for W (A = 39200):
39200 = 2W * W
39200 = 2W²
19600 = W²
W = 140
Plug that number into the second equation to get the length:
L = 2 * 140
L = 280
So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²
What are the next three terms in the sequence? 1, 10, 2, 9, 3, ___, ___, ___
Answer:
8, 4, 7
Step-by-step explanation:
The sequence is going backwards from 9 by adding and subtracting.
1, 10, 2, 9, 3, ___, ___, ___
11 - 10 = 1
1 + 9 = 10
10 - 8 = 2
2 + 7 = 9
9 - 6 = 3
3 + 5 = 8
8 - 4 = 4
4 + 3 = 7
Hope that helps.
Anona hires a decorator to redecorate her bedroom. The decorator offers her 2 different plans: the basic plan has
x wall-color options, x + 1 ceiling-color options, and x + 3 flooring options. The gold plan offers all of the basic plan
offerings, plus 3 additional options in each category.
If a layout includes a wall color, ceiling color, and flooring, which option correctly shows the comparison between the
total number of unique layouts offered by the basic and gold plans?
O 3x +4 < 3x +11
Ox3+4x2 + 3x < 6x + 42x2 + 72
Ox+4
Ox3+4x² + 3x < x + 13.x2 + 54x + 72
>
Answer:
The correct option is;
x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.
Step-by-step explanation:
The given parameters are;
The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options
The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category
Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options
The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x
Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6) = x³ + 13·x² + 54·x + 72
Which gives;
The comparison between the total number of unique layouts offered by the basic and gold plans as x³ + 4·x² + 3·x < x³ + 13·x² + 54·x + 72.
Which scientist developed the first model of the atom that showed the structure of the inside of an atom?
O Dalton
O Boht
O Rutherford
O Thomson
Answer: O Thomson
Step-by-step explanation:
The first model which is known as "Thomson atomic model" of the atom that showed the structure of the inside of an atom is developed by William Thomson. The model gave description of an inner structure of the atom theoretically.His theory was supported by J J Thomson who had discovered electron.He discovered negatively charged particle during a cathode ray tube experimentSo, the correct option is "Thomson" .
Answer:
Thomson
Step-by-step explanation:
In the figure below, O is the center of the circle. Name a radius of the circle. A. HK←→ B. FG←→ C. AB¯¯¯¯¯¯¯¯ D. AO¯¯¯¯¯¯¯¯
Answer:
D. AO
Step-by-step explanation:
The radius can be made with a line from a point in the circumference (end) to the middle.
Point A is on the circumference. Point O is in the middle. So, line segment AO is the radius.
The radius of a circle is a line drawn from the center of the circle to any point on the circumference of the circle.
The radius of the circle are AO, CO and BO.
From the attached diagram of the circle, we have:
[tex]O \to[/tex] center
There are three lines from center O to the circumference of the circle. The three points are: A, C and B.
This means that the radius of the circle are AO, CO and BO.
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What is the coefficient, constant, or variable for a+3b
Answer:
variables: 'a' and 'b'coefficient: 3Step-by-step explanation:
The variables are 'a' and 'b'. The number 3 is a coefficient.
__
The coefficient of 'a' is 1. A coefficient of 1 is rarely shown.
Find the indicated side of the triangle
Answer:
[tex]a = 17 \sqrt{2} [/tex]Step-by-step explanation:
To find a we use sine
sin ∅ = opposite / hypotenuse
From the question
a is the hypotenuse
17 is the opposite
Substitute the values into the above formula
That's
[tex] \sin(45) = \frac{17}{a} [/tex][tex]a \sin(45) = 17[/tex][tex]a = \frac{17}{ \sin(45) } [/tex][tex] \sin(45) = \frac{ \sqrt{2} }{2} [/tex][tex]a = \frac{17}{ \frac{ \sqrt{2} }{2} } [/tex]We have the final answer as
[tex]a = 17 \sqrt{2} [/tex]Hope this helps you
Frank says that for any whole number n, the value of 6n-1 is always prime. Is Frank correct? Explain your answer.
Answer:
Frank is wrong
Step-by-step explanation:
[tex]6(6) - 1 = 35[/tex]
35 is a multiply by 5 so it is not a prime number.
A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does the mechanic charge per hour for labor?
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?
A. false
B. true; quadrants 1 and 4
C. true; quadrants 2 and 3
D. true; quadrants 1 and 3
Answer:
Answer: The answer is option B.
Step-by-step explanation:
Here,
We have,
[tex] { \sin }^{2} theta \: + {cos}^{2}theta = 1[/tex]
[tex] {cos}^{2} \: theta = 1 - {sin}^{2} \: theta[/tex]
[tex]cos \: theta = \sqrt{1 - { \sin }^{2}theta } [/tex]
So, it's true; and it lies in quadrant 1 and 4.
The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.
Lowell purchased a motorcycle for $17,011. It depreciates about 3.9% each year. What is the value of the motorcycle after eight years?
Answer:
100% - 3.9% leaves 96.1% of its value = 0.961*worth of the previous year.
value at years = 17011*(0.961)^8
= $12374.19 after 8 years
The salaries of 830 lawyers were recorded and analyzed. The analyst later found that the lowest salary was incorrectly recorded as $0. After the error was corrected, the report showed that the corrected value was still lower than any other salary. Which sample statistic must have remained the same after the correction was made?
Answer:
The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.
HOPE THIS HELPED < 33
Step-by-step explanation:
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Please
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
What is this and whats the steps?
-4(-5h-4)=2(10h+8) *
Answer:
this is an algebraic equation because it has an unknown which is the alphabet
Step-by-step explanation:
-4(-5h-4)=2(10h+8)
-4 will multiply the ones in the bracket beside it
-4*-5h=20h
-4*-4=16
20h+16=
2 will multiply the ones in the bracket beside it
2*10h=20h
2*8=16
20h+16=
so we have 20h+16=20h+16
we take like terms
20h-20h=16-16
h=0
Show What You Know
In 2-3 sentences, explain in writing, how you can compare
and order integers.
PLZZZ I DONT HAVE THAT MUCH TIME
Answer: " Compare and order integers, -3, +4 -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.
The population of Stark county this year is 7,921 people. Last year the population was 7,547 people. Find the approximate percentage rate of growth of the county. A. 9.5% growth B. 1.05% growth C. 5% growth C. 0.95% growth
Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,
[tex]P_n=P_0(1+r)^{n}[/tex]
Where [tex]P_n[/tex] = final population
[tex]P_0[/tex] = Initial population
r = percentage growth
Now we substitute these values in the formula,
[tex]7921=7547(1+r)^1[/tex]
[tex]\frac{7921}{7547}=(1+r)[/tex]
r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.
The terminal side of a 130° angle in standard position lies in the
quadrant.
Two angles that are coterminal to 130 are and
Answer:
The answer is below
Step-by-step explanation:
The angle 130° lies in the second quadrant since it is between 90° and 180°. Coterminal angles are angles that share the same initial and terminal side with an angle. For a angle, there are many coterminal angles, to find a coterminal angle all you have to add or subtract 360°.
The positive angle that is coterminal to 130° are:
130 + 360 = 490°
490 + 360 = 850°
The negative angle that is coterminal to 130° are:
130 - 360 = -230°
-230 - 360 = -590°
The terminal side of a 130° angle lies in the second quadrant.
Given angle measures 130°.
The whole graph plane is divided into four quadrants, namely first quadrant, second quadrant, third quadrant and fourth quadrant.
The first quadrant has range of angles from 0 degrees to 90 degrees.
The second quadrant has range of angles from 90 degrees to 180 degrees.
The third quadrant has range of angles from 180 degrees to 270 degrees.
The fourth quadrant has range of angles from 270 degrees to 360 degrees.
Since the given angle measures 130°, thus its plot has initial side on zero degree and terminal side on 130° in the second quadrant, as [tex]90^{\circ}< 360^{\circ} < 180^{\circ}[/tex]
Thus, we have terminal side of a 130° angle lying in the second quadrant.
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The slope of the line below is - 8/7
Write a point-slope equation of the line
using the coordinates of the labeled point.
A. y+4 = -8/7 (x+4)
B. y-4 = -8/7 (x-4)
C. y-4 = -8/7 (x-4)
D. y+4 = -8/7 (x+4)
Answer:
Hey there!
Point slope form:
y-4=-8/7(x-4)
Let me know if this helps :)
Simplify 12 to the power of 3 over 12 to the power of 7
Please????
Need help ASAP!!!!!!
Greetings from Brasil...
Here's our problem:
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex]
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
So, in our problem
[tex]\large{\frac{12^{3}}{12^{7}}}[/tex] = 12³ ÷ 12⁷
12³ ÷ 12⁴ = 12³⁻⁷
12⁻⁴
We also know about another property: P⁻ⁿ = (1/Pⁿ) so
12⁻⁴ = (1/12⁴)
The light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50 degrees. To the nearest foot, how tall is the lamppost?
Answer:
Height of lamppost = 23.835 ft (Approx)
Step-by-step explanation:
Given:
Man's distance from lamppost = 15 ft
Shadow length = 5 ft
Angle of elevation = 50°
Find:
Height of lamppost
Computation:
Using trigonometry application.
Total base length = 15 ft + 5 ft
Total base length = 20 ft
Tan 50° = Height of lamppost / Total base length
1.19175359 = Height of lamppost / 20
Height of lamppost = 23.835 ft (Approx)
Answer:
To the nearest foot it is about 24 feet
6=1-2n+5 can you please solve it
Answer:
n = 0
Step-by-step explanation:
6 = 1 - 2n + 5
6 = 6 -2n
0 = -2n
n = 0
The value of n after solving the given equation 6 = 1 - 2n + 5 is the number, n = 0.
Given an equation:
6 = 1 - 2n + 5
It is required to find the value of n.
In order to find the value of n, the variable n has to be isolated to one side of the equation with the constant on the other.
Here, the variable is n.
The equation can be written as:
6 = -2n + 6
Subtract 6 from both sides.
0 = -2n
Now, divide both sides by -2.
0 = n
Hence, the value of n is 0.
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help me slove this problem thank you
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}[/tex]Step-by-step explanation:
Let the points be A and B
A ( -8 , - 18 )⇒( x₁ , y₁ )
B ( 14 , -18 )⇒( x₂ , y₂)
Finding the distance between these two points
[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }[/tex]
We know that,[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }[/tex]
Calculate
⇒[tex] \sf{ \sqrt{ {22}^{2} + {0}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{484} }[/tex]
⇒[tex] \sf{{22} }[/tex] units
Hope I helped !
Best regards!!
True or false: equilateral triangles can be classified as acute right or obtuse
how would you show 2,500 using exactly seven blocks?
Answer:
see below
Step-by-step explanation:
You would use ...
2 thousands cubes5 hundreds sheetsThe next term of the AP root 8, root 18,root 32 is...........
Answer:
root 50
Step-by-step explanation:
Root 8 = 2root 2root 18 = 3root 2root32 =4root 2common difference = 4root 2 - 3root 2=root2 next term = 5root2 = root50.
A biologist is tracking the path of a bird. The bird flies from point A to point B on the map. What vector can be used to express the bird's change in position? Write the vector in the form [cd] , where c and d are real numbers.
Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by [tex]\overrightarrow{AB}=<x_2-x_1, y_2-y_1>[/tex]
By substituting the coordinates of points A and B,
[tex]\overrightarrow{AB}=<(-3-2),(-6-4)>[/tex]
= < -5, -10 >
[tex]\overrightarrow{AB}=\binom{-5}{-10}[/tex]
By comparing it with the vector form of [cd]
c = -5
d = -10
Need help with 8,12!!!!!!!!
Answer:
x = -12, a = 17
Step-by-step explanation:
You can use algebraic techniques to simplify two-step equations. They have a constant on one side of the equation and a variable with a coefficient on the other. However, for algebraic equations, most will require you to add or subtract a constant from the side with the variable.
4x + 7 = -41 can be simplified algebraically. Subtract 7 from both sides and then divide by 4.
4x + 7 = -41
4x = -48
x = -12
-4 - 2a = -38 can also be simplified algebraically. Add 4 to both sides and then divide by -2.
-4 - 2a = -38
-2a = -34
a = 17
Answer:
8 x = -12
12 a = 17
Step-by-step explanation:
8
4x + 7 = -41
4x = -41 - 7
4x = -48
x = -48/4
x = -12
probe:
4*-12 + 7 = -41
-48 + 7 = -41
12
-4 - 2a = -38
-2a = -38 + 4
-2a = -34
a = -34/-2
a = 17
probe:
-4 - 2*17 = -38
-4 - 34 = -38
The price of the same type of milk at 4 different stores is shown. 4 signs.Short description, 4 signs.,Long description, Alpha Mart, 1 quart, $1.00. Beta Mart, 1 gallon, $3.00. Gamma Mart, 1 pint, $0.54. Delta Mart, 2 quarts, $1.86. Question Which store has the lowest unit price per ounce for the milk? Answer options with 4 options A. Alpha Mart B. Beta Mart C. Gamma Mart D. Delta Mart
Answer:
B
Step-by-step explanation:
Lets convert everything to gallons.
Alpha Mart:
1 quart = 0.25 gallons
1 * 0.25 = 0.25 gallons for $1
1 / 0.25 = 4 * 1 = $4 per gallon
Beta Mart:
1 gallon for $3
Gamma Mart:
1 pint = 0.125 gallons
0.125 gallons for $0.54
1 / 0.125 = 8 * 0.54 = $4.32 per gallon
Delta Mart:
1 quart = 0.25 gallons
2 * 0.25 = 0.5 gallons for $1.86
1 / 0.5 = 2 * 1.86 = $3.72 per gallon.
As we can see from all the unit prices, Beta Mart sells milk for the cheapest price.
Best of Luck!
Answer: B
Step-by-step explanation:
B
Step-by-step explanation:
Lets convert everything to gallons.
Alpha Mart:
1 quart = 0.25 gallons
1 * 0.25 = 0.25 gallons for $1
1 / 0.25 = 4 * 1 = $4 per gallon
Beta Mart:
1 gallon for $3
Gamma Mart:
1 pint = 0.125 gallons
0.125 gallons for $0.54
1 / 0.125 = 8 * 0.54 = $4.32 per gallon
Delta Mart:
1 quart = 0.25 gallons
2 * 0.25 = 0.5 gallons for $1.86
1 / 0.5 = 2 * 1.86 = $3.72 per gallon.
Hope it helps!
2xy and 5xy
7 and 2xy
-3 and 5xy
7 and -3
Which are like terms
Answer:
2xy and 5xy are like terms
Step-by-step explanation:
Like terms have the same number, and variables.
A is correct since it has one number and two variables of x and y.
B is wrong since 7 doesn’t have xy at the end like 2xy does.
C is wrong since -3 doesn’t have xy at the end like 5xt does.
D is right since 7 and -3 are by themselves with no variables.
Best of Luck!