Answer:
5x + 3
Step-by-step explanation:
We factor 25x^2 + 3x + 9.
25x^2 is a perfect square; 25x^2 = (5x)^2
9 is a perfect square; 9 = 3^2
This expression may be a perfect square trinomial.
25x^2 + 30x + 9 = (5x + 3)^2
We check the middle term: 2ab = 2 * 5 * 3 = 30
The coefficient, 30, is correct, so we are dealing with a perfect square trinomial.
length = 5x + 3
The correct answer is C. (5x+3) feet, and here is how I got it.
This is the equation you need to use:
(a+b)^2 = (a+b) (a+b)
So, let us plug in 5x and 3 here:
(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden.
A cube has side length 0.7 metres.
Work out the total surface area of the cube.
Give your answer in square centimetres
Answer:
2.94
Step-by-step explanation:
SA
Area of one plane moultyply by number of planes
0.7*0.7*6
=2.94
The cost of the apple is expressed as y = 12x + 6, where x is the number of apples. Find the cost of dozen apples.
Answer:
150Step-by-step explanation:
x = dozen = 12
12x + 6 = 12•12 + 6 = 144 + 6 = 150
a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.
Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
There are 300 students in the seventh grade at Lincoln Middle School. When the students voted on new school colors, 65% of the seventh graders voted for the combination of blue and silver. How many seventh graders voted for the blue and silver color combination?
Answer:
195 students voted for the blue and silver color combination.
Step-by-step explanation:
First, you have to convert 65% to a decimal ( You should get 0.65 ).
Next, you multiply 300 by the decimal ( 0.65 )
You should get 195, so that's how many people voted for the blue and silver color combination.
Answer:
195
Step-by-step explanation:
I do not understand this problem nor how to solve it. It looks like an inequality but I do not see how to solve it.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Inequalities.
so after solving we get as,
1) -5<3x+4<40
2) 2nd quadrant 3π/4<s/2<π
Answer:
Actually Welcome to the Concept of the Inequalities.
so after solving we get as,
1) -5<3x+4<40
2) 2nd quadrant 3π/4<s/2<π
Step-by-step explanation:
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation:
Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)
Answer:
y = (7/2)x -20
Step-by-step explanation:
The given line is in slope-intercept form, so you can read its slope from the equation.
y = mx + b . . . . . m is the slope; b is the y-intercept
y = -(2/7)x + 9 . . . . . . has slope -2/7
The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...
m = -1/(-2/7) = 7/2
We can use this and the given point to write the equation in point-slope form.
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
We have m = 7/2, (h, k) = (4, -6) so the equation is ...
y = (7/2)(x -4) -6
y = (7/2)x -20
(08.01)
Two lines M and N, are represented by the following equations:
Line M: y = x + 3
Line N: y = -2x + 6
Which of the following options shows the solution to the system of equations and explains why?
O (1.4), because the point does not lie on any axis
(1, 4), because one of the lines passes through this point
O (1.4), because both lines pass through this point
O (1.4), because the point lies between the two axes
Answer:
(1.4), because both lines pass through this point
Step-by-step explanation:
On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.
Answer:
140 square units
Step-by-step explanation:
The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
Find the midpoint between each pair of points. (4,7) (2,9)
PLEASE HELP!!!
Answer:
The midpoint is (3,8)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the two coordinates together and divide by 2
( 4+2)/2 = 6/2 = 3
To find the y coordinate of the midpoint, add the two coordinates together and divide by 2
( 7+9)/2 = 16/2 = 8
The midpoint is (3,8)
PLS HELP AND ANSWER ASAPPP (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r'...
Answer:
1) 2 (11) - 1/2
Step-by-step explanation:
Given the following:
A line “t” is parallel to 3y = 6x + 9
Equation of a line;
y = mx + c
Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.
From the equation;
3y = 6x + 9
Divide through by 3
y = 2x + 3
Comparing the line equation with the equation provided :
Coefficient of x = 2, therefore 2 = slope
Since line t is Parallel to y = 2x + 3
Then, slope of line 't' is the same as that of y:
Slope of line 't' = 2
(11) For perpendicular lines :
Slope of original line : 3y = 6x + 9
Divide through by 3
y = 2x + 3
Compare to line equation:
y = mx + c
m = gradient/ slope, c = intercept
Gradient of original line, m = 2
For a line 'r' perpendicular to y = 2x + 3
Gradient, m of line r equals to the negative reciprocal of the gradient of original line
Therefore, gradient of r equals :
-1/2
If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, which of the following statements must be true?
A. The polygon is a regular polygon
B. The polygon has 2 sides
C. He polygon has 4 sides
D. The polygon has six sides
E. It's impossible for the sums to be equal
Answer: D.
Step-by-step explanation:
Hexagon has six sides, the sum exterior angles is 360 degrees
if you divide 360 by 6 you will get 60 degrees for each sides.
I might be wrong, I suck at geometry even if im doing calc
What is the answer...?
Answer:
I think it's 1/2 because it might be right
44: PLEASE HELP Find the x-intercepts of -x+2y=14. X intercept:(___,0)
Answer:
(-14,0)
Step-by-step explanation:
-x+2y=14 to find the x intercept means y=0
-x+0=14
x=-14
someone help with my math
Answer: height = 1.16 ft
Step-by-step explanation:
14 inches = 1.17 feet
Height of the oven =
Height = volume / lw
H = 1.59 / 1.17*1.17
H = 1.16 feet
Answer:
a. 3.25 m
b.1.2 ft
Solution,
a. Let 'h' be the height of cylinder
Given,
Radius(r)=0.7 m
Volume(v)=5 m^3
Formula to find volume of cylinder
[tex]\pi {r}^{2} h[/tex]
where r= radius and h= height
so,
[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]
b.
[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]
hope this helps...
Good luck on your assignment...
work out the volume of a frustum please help me i’ll give u brainleist
Answer: 137.25π ≈ 431.18 cm³
Step-by-step explanation:
Entire Cone - Tip of Cone = Frustrum
[tex]V_{cone}=\dfrac{1}{3}\pi r^2h\\\\\\V_{Entire}=\dfrac{1}{3}\pi (6)^2(12)\quad =\quad 144\pi\\\\V_{Tip}=\dfrac{1}{3}\pi \bigg(\dfrac{6}{4}\bigg)^2\bigg(\dfrac{12}{4}\bigg)\quad =\quad \dfrac{27}{4}\pi\\\\\\\\V_{Frustrum}=V_{Entire}-V_{Tip}\\\\.\qquad \qquad =144\pi-\dfrac{27}{4}\pi\\\\.\qquad \qquad =\dfrac{549}{4}\pi\\\\.\qquad \qquad =137.25\pi\\\\.\qquad \qquad=\large\boxed{431.18}[/tex]
Answer: 137.25π ≈ 431.18 cm³
Step-by-step explanation:
Entire Cone - Tip of Cone = Frustrum
Find maximum points y=11^(6x-x²) solve using derivative
Answer:
[tex]\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }[/tex]
Step-by-step explanation:
hello
[tex]y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))[/tex]
so to know the maximum to y we can check the maximum of
f(x)=[tex]6x-x^2[/tex]
f is derivable and f'(x)=6-2x
f'(x)=0 <=> x = 3
so the maximum is reached for x = 3
f(3)=18-9=9
and then
[tex]y = 11^9=2357947691[/tex]
to be rigorous, we can write the variation table of y to show that there is only one maximum
hope this helps
Simplify (7^5)^3 please
Answer:
7^15
Step-by-step explanation:
(7^5)^3
We know that a^b^c = a^(b*c)
(7^5)^3 = 7^(5*3)
= 7^15
what was Tomas's first error
Answer:
6 + 6y + 6 = 12 + 6
Step-by-step explanation:
2(3) + 6y = 12
Multiply 2(3).
6 + 6y = 12
Subtract 6 on both sides, so y variable is isolated.
6 + 6y - 6 = 12 - 6
6y = 6
Divide by 6 on both sides.
6y/6 = 6/6
y = 1
Anthony recorded the heights and weights of the 15 boys in his class. Then he drew the scatter diagram shown below using the information.
Answer:
a)(140,57)
b)positive correlation
c)155cm (Give or take)
Step-by-step explanation:
a) find the outlier which doesn't follow the pattern as the rest
find the coordinates.(140,57)
b)all of the results follow a positive pattern when weight increases so does the height.
c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.
hope this helps
The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm
The outlierThis is the point that is far from other points in the scatter plot.
From the given graph, the point (140,57) is far from others.
Hence, the outlier point is (140,57)
The correlation typeFrom the graph, we can see that the points increase towards the right.
This represents a positive correlation
Hence, the correlation type is a positive correlation
Estimated height of a student
The weight is given as:
Weight = 45 kg
From the graph, the closest points to y = 45 are
x = 148, 153, 156 and 158
The mean of these values is 154.
Hence, the estimated height of the student is 154 cm
Read more about scatter plots at:
https://brainly.com/question/6592115
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1. If 48% students in the college are Female
if there are 5000 students in the college what
are the numbers ch female of male ;
Answer:
2600
Step-by-step explanation:
the number of female : 5000*48%= 2400 female
males =5000-2400=2600 0r 52%
Subtract these polynomials.
(6x2 – X + 8) – (x2 + 2) =
O A. 5x2 - x + 6
B. 7x2 – X+6
O C. 5x2 - x + 10
O D. 7x2 - x + 10
The result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6
How to subtract the polynomials?The subtraction of the polynomials is given as:
(6x2 – X + 8) – (x2 + 2) =
Rewrite the above expression properly as:
(6x^2 – x + 8) – (x^2 + 2) =
The next step is to open the brackets.
Start by opening the first bracket (here the signs remain the same)
6x^2 – x + 8 – (x^2 + 2) =
Next, we open the second bracket (here the sign changes, because of the minus outside the bracket)
So, we have;
6x^2 – x + 8 – x^2 - 2 =
Next, we collect the like terms
6x^2 – x^2 – x + 8 - 2 =
Subtract x^2 from 6x^2
5x^2 – x + 8 - 2 =
Subtract 2 from 8
5x^2 – x + 6
Hence, the result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6
Read more about polynomials at:
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Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length of the altitude.
Answer:
B. [tex] 4\sqrt{7}[/tex]
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
[tex] h = \sqrt{(xy)} [/tex]
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = [tex] h = \sqrt{(14*8)} [/tex]
[tex] h = \sqrt{112} [/tex]
[tex] h = \sqrt{16}*\sqrt{7}[/tex]
[tex] h = 4\sqrt{7}[/tex]
WILL GIVE BRAINLIST!!!!
Answer:
What is the question?
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
The data is already in accending order
you look for the value in middle
that will be your median
Can someone help me please.
Step-by-step explanation:
as you can see all the values more than -3 are included in the graph
so the answer is:
y≥-3
HELP PLEASE! Thank you!
Answer:
See attached graph for the first part
Answer to second part: The end part of the graph show the slowest increase
Step-by-step explanation:
The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.