Answer:
1/4h
Step-by-step explanation:
If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.
Hence, the time for the bus trip
= (1/2 + x)h
since the bus trip is 3/4h, it means that
1/2 + x = 3/4
collecting like terms,
x = 3/4 - 1/2
= 3/4 - 2/4
= 1/4
Hence the car trip is 1/4h.
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:
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!
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.
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%
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]
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
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
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
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
#SPJ6
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...
Plz help me out with these problems.
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.
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
Help please!!!!!!!!!!!!!!
Answer:
200=4hrs=10 of the machines
200=4hrs
300=xhrs
Cross multiply
200×xhrs = 300×4hrs
X=1200/200
X= 6 hours
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:
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
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
What is the answer...?
Answer:
I think it's 1/2 because it might be right
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...
PLEASE HELP The data in the table are entered into a regression calculator. x 11 23 48 89 126 155 y 49 94 196 362 511 617 Based on the line of best fit produced by the regression calculator, which is the best prediction for the value of y when x = 64? A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 11, 23, 48, 89, 126, 155. Column 2 is labeled y with entries 49, 94, 196, 362, 511, 617. The linear regression equation is y almost-equals 3.98 x + 5.022; r almost-equals 1. 250 260 317 325
Answer:
The correct answer is 260
Step-by-step explanation:
Also known as B
Answer:
260 so Answer B
Step-by-step explanation:
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
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
fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up
Answer: NO. He had an increase of 25%
Step-by-step explanation:
To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.
[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]
Convert the decimal into percentage by moving the decimal point two places to the right. 0.25 = 25%
Evan spent 25% more time this week than last week.
It can also be stated that this week Evan did 125% of homework compared to last week.
If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.
Find n. Question below.
Answer:
B. 5
Step-by-step explanation:
[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]
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
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)
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
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
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