it's good to write it out
length = 5 + width
area = 150
width = x
length = 5 + x
area = length * width
so
(5 + x) (x) = 150
5x + x^2 = 150
x^2 + 5x - 150 = 0
following you have to guess what 2 numbers when multiplied male 150 and when added make 5
and they are 15 and 10
(x +15) (x-10)
x = -15
x = 10
so the dimensions are
length = 15
and
width = 10
A culture started with 1,000 bacteria. After 7 hours, it grew to 1,200 bacteria. Predict how many bacteria will be present after 14 hours. round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places
Answer:
1400
Step-by-step explanation:
I took the Application
Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?
Answer: 90
Step-by-step explanation:
450/5 or 450 divided by 5
you can work this out by figuring out 45/5 which is 9
so 450/5 equals 90
he should read 90 pages per day
Answer:
90
Step-by-step explanation:
Because if you divide the pages into the 5 day it would be 90
450 divide by 5 = 90
The coordinates of the endpoints of QR are
Q (8, 2) and R (5, 7) ).
Which measurement is closest to the length of QR
in units?
A 5.8 units
B 5 units
C 4 units
D 3.9 units
Answer: I just did the test so the answer is A. 5.8 units
Step-by-step explanation: hope this help thx for the points :D
Length of QR in units = 5.83 units, which is closest to 5.8 units.
The correct option is A.
What is length of line segment?The distance between any two points is the length of the line segment joining the points.
The formula for the distance, D, between two points whose coordinates are (x₁, y₁) and (x₂, y₂)
D = √((x2 – x1)² + (y2 – y1)²)
This is called the Distance Formula.
Given,
Coordinates of points Q (8, 2) and R (5, 7)
Length of QR = Distance between point Q and point R.
D = √((x2 – x1)² + (y2 – y1)²)
D = √((5 - 8)² + (7 - 2)²)
D = √(-3² + 5²)
D = √9 + 25
D = √34
D = 5.83 units
Length of QR rounded to one decimal = 5.8 unit
Hence, 5.8 unit is closest to the length of QR = 5.83units
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Solve plz
500 - 2.23
Answer:
497.8
Step-by-step explanation:
500-2.23=497.77=497.8
Answer:
500-2.23500-2.23497.77hope it helps
stay safe healthy and happy.The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?
Answer:
The average distance from venus to mars is 2.5x10⁸ kilometers.
Step-by-step explanation:
We know:
d₁: average distance between venus and earth = 2.5x10⁷ km
d₂: average distance between mars and earth = 2.25x10⁸ km
We can find the average distance from venus to mars as follows:
[tex] d_{t} = d_{1} + d_{2} [/tex]
First, we need to equal the base power 10 so we can sum both distances:
[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]
Now, average distance:
[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]
Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.
I hope it helps you!
Round your answer to the nearest hundredth
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
How long could a student take to paint their canvas if they are slower than 75% of the other students?
Answer:
multiply the other kid's time by 3/4
Step-by-step explanation:
there's some info missing but hope this helps!
Someone help me with this pls
Answer:
5-² is your correct answer
Answer:
=5^10/5^12
= 5^10-12
=5^-2
Do the following lengths form a right triangle? Show your work.
12
5
13
Please answer quick
Answer:
yes
Step-by-step explanation:
side 5 and side 12 where the angle is you can form a square in the corner
Which of the following terms best describes the set of all points in a plane for
which the difference between the distances of a given point to two fixed foci
equals a certain constant?
Focus
Focus
A. Hyperbola
B. Circle
C. Ellipse
D. Parabola
someone HELPP PLSSS
The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant
is a A. Hyperbola.
What is a hyperbola?A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways.
Examples of the hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.
We all know the pictorial representation of a circle, ellipse, parabola, and hyperbola.
A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity.
The given diagram and statements represent a hyperbola.
learn more about hyperbolas here :
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brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answer:
D
Step-by-step explanation:
I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?
Answer:
A. (x − p) (x + p) = x² - p²
B. (x – 5) (x + 7) = x² + 2x - 35
C. (x + p) (x + p) = x² + 2px + p²
Step-by-step explanation:
To find - Multiply and match each of the following expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
Proof -
A.)
The expression is - (x − p) (x + p)
Now,
(x − p) (x + p) = x(x + p) - p(x + p)
= x(x) + x(p) - p(x) - p(p)
= x² + xp - px - p²
= x² - p²
⇒(x − p) (x + p) = x² - p²
B.)
The expression is - (x – 5) (x + 7)
Now,
(x − 5) (x + 7) = x(x + 7) - 5(x + 7)
= x(x) + x(7) - 5(x) - 5(7)
= x² + 7x - 5x - 35
= x² + 2x - 35
⇒(x − 5) (x + 7) = x² + 2x - 35
C.)
The expression is - (x + p) (x + p)
Now,
(x + p) (x + p) = x(x + p) + p(x + p)
= x(x) + x(p) + p(x) + p(p)
= x² + xp + px + p²
= x² + 2px + p²
⇒(x + p) (x + p) = x² + 2px + p²
f(x) = 3x - 1
Consider the function below. Find f(x) = 32 *find x value*
Answer:
f(32) = 95
Step-by-step explanation:
f(32) = 3(32)-1
f(32) = 96 - 1
f(32) = 95
Hope this helps have a great day
Suppose Nicole ran 12 miles in four days. If she ran the same distance d each
day, how many miles did she run in one day?
Answer:
3 miles
Step-by-step explanation:
Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^
Can someone help on this?
Answer:
D
Step-by-step explanation:
p(x, y) reflection on y axis = p'(-x, y)
What is the length of the line?
Choose 1 answer:
Answer:
√29
Step-by-step explanation:
We can use the pythagorean theorem to find the length of this line. You can draw a vertical line downwards from the higher point and a horizontal line towards the left from the lower point. This will create a right triangle. Wd can count the lengths of the legs, getting 2 and 5. We can substitute these values in the pythagorean theorem:
a^2 + b^2 = c^2
2^2 + 5^2 = c^2
4 + 25 = c^2
c^2 = 29
c = √29
Since c is the hypotenuse and is the same length of the line, the line is √29 units long
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Step-by-step explanation:
the solution is self explanatory
A farmer has 1235 trees to be planted on a rectangular parcel of land. if there are 24 trees planted in each row and each row must be completed before it is planted, how many trees will be leftover planting?
a. 0
b. 11
c. 55
d. 21
Answer:
c?
Step-by-step explanation:
It's the closest number to 51.
1245/24
yo i need help please ( if u can’t see the problem zoom in btw ) but fr i need to pass plz help
Answer:
Given no. of persons owned laptop = 76
Total of no. of students owned + Total of no. of students dont have owned laptop given = 155
No. of students dont have laptops = 155 - 76 = 79
So then the total no. of no laptops = 79 + 17 = 96(ans)
I need to know what is the factor is the ball height changing after each bounce
Answer:
After each bounce it reaches a height which is 75% of its maximum height after the previous bounce.
Step-by-step explanation:
Help please (no links)
Answer:
Solution given:
8x²+8x+2=0
8x²+4x+4x+2=0
4x(x+2)+2(x+2)=0
(x+2)(4x+2)=0
either x=-2/4=-½
or
x=-2
So
It has 2 solution.
I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes
Answer:
a) median = 1,148 minutes
b) IQR = 549.5
Step-by-step explanation:
Q1 = (952 + 866) / 2 = 909
Q3 = (1431 + 1486) / 2 = 1458.5
IQR = 1458.5 - 909.0 = 549.5
20 points! pls helppppp it's almost recognition day for me!!
I'm sorry but i'm bad at math ;-;
using the given figures, find the values of the unknown variables
(PROVING ISOSCELES TRAPEZOID)
Find the area of a circle with radius, r = 5.78m.
Give your answer rounded to 2 DP.
Answer:
104.96
Step-by-step explanation:
Hope this helps :)
The diameter of Circle X is 18 cm. The diameter of Circle Y is 29 cm. Which circle has the greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can compare the areas of two circles. Explain when you might prefer to use each.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
30 m
Step-by-step explanation:
Picture the question as a triangle
The length of the string is the hypotenuse, 60 m
The angle from the ground is 30
The right angle C is from the height of the kite to the ground
The missing angle A 60 is located on the top of the kite
now find b, the height
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=b/c
b=c*cos(A)
b=60*cos(60)
b=30
Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
find the value of x. round your answer to the nearest tenth.
Answer:
The answer is A. 77.
Step-by-step explanation:
Using trigonometry formula
We know, tan = opposite/adjacent
So, tan x° = 13/3
=> x° = [tex]tan^{-1}[/tex](13/3)
∴ x° = 77.005° ≈ 77.01°
Answer:
A 77
Step-by-step explanation:
Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?