Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
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Today 67 students are going on a
field trip. A bus holds 50 children,
How many buses will be needed?
I know this is a little weird but the answer is 1.34 buses.
You need to divide 67 by 50.
Hope I helped and good luck!
Answer: 1.34
Step-by-step explanation:
In the figure a pair of parallel lines is cut by a transversal. What is the measure of angle c if the measure of angle b is 35 degrees?
Answer:
145
Step-by-step explanation:
There are a lot of ways to do this, the simplest is that c and b are two angles on a straight line which means they add up to 180
180-35= 145
PLZ I NEED HELP ASAP
Evaluate 5/6 ÷(a+b) for a= 1/2 and b=− 2/3 . Record the answer in the simplest form.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.
Answer:
-5
Step-by-step explanation:
make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.
08.01 LC)
Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9 , and determine if it is an extraneous solution. (5 points)
Question 12 options:
1)
x = 4; not extraneous
2)
x = 4; extraneous
3)
x = 0; extraneous
4)
x = 0; not extraneous
Answer:
The solution is x=4.
BRAINLIEST :)
It is not an extraneous solution.
Will give brainliest answer
Answer:
[tex]31.5units^2[/tex]
Step-by-step explanation:
The shape shown above can be split into 2 triangles and 1 rectangle.
The formula for a triangle:
[tex]A=\frac{1}{2} bh[/tex]
The formula for a rectangle:
[tex]A=lw[/tex]
Area of triangle (both have the same lengths so you can just double the area):
[tex]A=\frac{1}{2} (3)(3.5)\\A=5.25[/tex]
Area of rectangle:
[tex]A=(7)(3)\\A=21[/tex]
Add the individual areas together to get the overall:
5.25 + 5.25 + 21 = 31.5
DescriptionIn mathematics, the Poincaré conjecture is a theorem about the characterization of the 3-sphere, which is the hypersphere that bounds the unit ball in four-dimensional space. The conjecture states: Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.
Am I right
Find the interquartile range (IQR) of the data in the box plot below.
Asap ASAP Please PLZ
Answer:
3
Step-by-step explanation:
IQR is the difference between the upper and lower medians so the IQR = 7 - 4 = 3
The interquartile range (IQR) of the data in the given box plot is: 3.
What is the Interquartile Range (IQR) of a Data?In a box plot, the interquartile range (IQR) is the difference between the upper quartile and the lower quartile which are represented as each edge of the rectangular box.
Upper quartile = 7Lower quartile = 4Interquartile range (IQR) = 7 - 4
Interquartile range (IQR) = 3
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The pilot of a helicopter sights a fire at an angle of depression of 11°.
The helicopter's altitude is 1700 feet.
To the nearest foot, what is the distance from the helicopter to the fire?
8909 ft
3204 ft
8746 ft
3300 ft
Answer:
The distance from the helicopter to the fire is 8909 feet.
Step-by-step explanation:
Refer the attached figure
The pilot of a helicopter sights a fire at an angle of depression of 11° i.e. [tex]\angle ACB = 11^{\circ}[/tex]
The helicopter's altitude is 1700 feet.i.e.AB = 1700 feet
We are supposed to find the distance from the helicopter to the fire i.e. AC
Using trigonometric ratios
[tex]Sin \theta = Perpendicular}{Hypotenuse}\\\\Sin 11^{\circ}=\frac{AB}{AC}\\\\Sin 11^{\circ}=\frac{1700}{AC}\\\\AC=\frac{1700}{Sin 11^{\circ}}\\\\AC=\frac{1700}{0.1908}\\\\AC=8909.85 feet[/tex]
Hence the distance from the helicopter to the fire is 8909 feet.
Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 (n - 1)d[/tex]
Since we want to determine the 76th term, we are going
to substitute 76 in for n in our explicit formula.
Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.
Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have [tex]^{a} 76 = 17 + 150[/tex].
Now just add to find that [tex]^{a} 76 = 167[/tex].
So the 76th term is 167.
Find the area of the equilateral triangle
Answer:
An equilateral triangle can be defined as a special type of triangle whose all the sides and internal angles are equal. In an equilateral triangle, the measure of internal angles is 60 degrees.
Step-by-step explanation:
Sheila has 13 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1 /4 pounds. How many containers does she need?
Answer:
This means Sheila will need at least 9 containers (you need to round up to the next container).
Step-by-step explanation:
Answer:
Sheila will need at least 9 containers
hope it right
Triangle ABC is isosceles.
Triangle A B C. Angle A is x degrees, angle B is 118 degrees, angle C is x degrees. Sides A B and B C are equal.
Which equation can be used to find the degree measure of Angle A?
118 = x + x
x + x + 118 = 180
118 + 180 = x + x
(x + x) minus 118 = 180
Answer:
x+x°+118° = 180°; x = 31°Step-by-step explanation:
Given an isosceles triangle of ABC where angle A is x°, angle B is 118°, angle C is x°. To get the measure of angle A, the following steps must be followed.
Sum of angle in a triangle is 180° as shown
∠A+∠B+∠C = 180°
∠A = 180°-(∠B+∠C)
Substituting the values of each angle in the expression to get ∠A we have;
∠A = 180°- (118°+x°)
Since ∠A = x
x = 180°- (118°+x°)
x = 180°-118°-x°
x+x°+118° = 180° (This gives the required equation)
To get x;
2x° + 118° = 180°
Subtracting 118° from both sides
2x° + 118°-118° = 180°-118°
2x°= 62°
x = 31°
Answer:
B: x + x + 118 = 180
Step-by-step explanation:
Got it right on Ed.
The measure of PQR is 90°. Find the value of x.
Answer:
18 degrees
Step-by-step explanation:
Since the measure of PQR is 90 degrees, the two angles contained in it must add up to 90 degrees. Therefore:
19+2x+35=90
Combine like terms:
2x+54=90
Subtract 54 from both sides:
2x=36
Divide both sides by 2:
x=18
Hope this helps!
Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
Find the area. Will mark brainliest.
Answer:
21 sq ft :) 20 characters long
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal frequencies?
Answer: the answer is B
Step-by-step explanation:
14+6 is 16. Add 88 to 16 and you get 104. 200-104=96.
The two-frequency table that correctly shows the marginal frequencies of the given data is: B.
What is a Marginal Frequency in a Two-way Frequency Table?In a two-way frequency table, the marginal frequency is simply the the sum of any one of the columns or rows in a data.
In table B, 14 + 6 equals 16, so also does 88 + 16 = 104. Subtract 104 from 200, and you have 96.
Therefore, table B correctly shows the marginal frequencies.
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What are the solutions of 3x2 - x + 7 = 0?
Answer:
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184
Step-by-step explanation:
3x2-x+7=0
Two solutions were found :
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i
PLEASE ANSWER QUICKLY. I GIVE BRAINLIEST AND I FOLLOW YOU
Please show work
And I would be so nice if you could also check my most recent question
Answer:
I believe this would be the correct answer. It has been a while since I have done a problem like this.
Answer:
x=1 & y=7
Step-by-step explanation:
y=7x.......(i)
y=-2x+9........(ii)
Solve for (ii) by replacing the value of y in (ii) with the value of y from (i)
y=-2x+9
7x=-2x+9
Add 2x on both sides,
7x+2x=-2x+9+2x
9x=9
Divide by 9 on both sides,
9x/9=9/9
x=1
Now,
Replace the value of x in eq (i)
y=7x
y=7×1
y=7
Therefore,the values of x and y are 1 and 7 respectively.
Math homework, don't get it please explan!
Answer:
-1/2
Step-by-step explanation:
The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!
Part B: what is the correct answer
x = 1
x = 2
x = 3
x = 4
Answer:
hard idk your awesome tho
Step-by-step explanation:
bdvewhjdbqw,
Calculate:|a|−|b|+|c|, if a=−8; b=−5; c=1
Answer:
The answer is 4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
|x| just means positive x so the equation turns into 8-5+1
8-5 = 3
3+1 = 4
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО
Answer:
90
Step-by-step explanation:
Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)
ARC LN = 360 - 270 =90
LMN = 1/2(270 -90)
= 1/2 (180)
= 90
Answer:
90
Step-by-step explanation:
The question is in the screenshot attached. Thank you!
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Answer this y’all I pray y’all answer this please
Answer:
A) a(x^2+ b/a x)+ -c
Step-by-step explanation:
Answer:like the first person it is option 1
What is the difference between a trapezoid and a rhombus? A) A trapezoid is a parallelogram and a rhombus is not. B) A rhombus always has 4 equal sides and a trapezoid does not. C) A rhombus always has 4 right angles and a trapezoid does not have to. D) A rhombus never has 2 sets of parallel sides and a trapezoid always does.
ASAP WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Answer:
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Step-by-step explanation:
find the equation of the line in slope-intercept form that has
slope = -1/2 y-intercept = 6
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
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