Answer:
all real numbers are solutions
Step-by-step explanation:
1) simplify the equation 4x^2+12x+9=(2x+3)^2 is the same as 4x^2+12x+9=4x^2+12x+9
2)subtract 4x from both sides 12x+9=12+9
3)subtract 12x from both sides 9=9
4)subtract 9 from both sides 0=0
I really hope this helps!!!:)
phillp asked 100 students they favourite crisps out of ready salted, cheese and onion, and salt and vinegar. 35 students are boys 12 of these boys liked cheese and onion the best 9 girls liked ready salted the best 25 out of 41 students woh liked salt and vinger the best were girls work out the total number of students who liked ready salted the best.
Answer:16 students liked ready salted
Step-by-step explanation:
35 students = boys
65 students = girls
Boys:
12/35 like cheese and onion
16/35 like salt and vinegar
7/35 like ready salted
Girls:
9/65 like ready salted
25/65 like salt and vinegar
31/65 like cheese and onion
What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac
Answer:
The answer is 16.
Step-by-step explanation:
First, you have to make the equation into 0 by moving all the terms to one side :
[tex] - 3 = - {x}^{2} + 2x[/tex]
[tex] {x}^{2} - 2x - 3 = 0[/tex]
Next, you have to apply Discriminant Law, D = b² - 4ac :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]
[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]
[tex]D = 4 + 12[/tex]
[tex]D = 16[/tex]
how would you solve this question?
Answer:
The value of a is e³ and b is e.
The steps are :
First, you have to integrate the expression shown in the first picture.
Next, you have to solve it as simultaneous equation shown in the second picture.
You have to apply :
[tex] ln(b) - ln(a) = ln( \frac{b}{a} ) [/tex]
[tex] ln(y) = x \: ⇒ \: {e}^{x} = y[/tex]
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
The number of students that fit in each van is _ and the number of students that fit in each bus is _
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
WILL GIVE BRAINLIEST George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled Dog run has a length of 30 feet and width of (30 minus x) feet. How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
Answer:
b68
Step-by-step explanation:
Answer:
68 FEET
Step-by-step explanation:
B pls give me brainliest
What is the mass in grams of 1.00 gal of water? The density of water is 1.00 g/ml.
The mass of water will be - 3785.41 grams.
We have density of water is 1.00 g/ml.
We have to determine the mass in grams of 1.00 gal of water.
Describe the relation between Mass (m) and Density (ρ).The relation between Mass (m) and Density (ρ) is -
m = ρV
where - V is the volume of object.
According to the question -
Density of water - 1.00 g/ml
Volume of water - 1 gallon = 3785.41 ml
m = ρV
m = 1 x 3785.41 = 3785.41 grams.
Hence, the mass of water will be - 3785.41 grams.
To solve more questions on Mass and Density, visit the link below -
https://brainly.com/question/24641072
#SPJ2
Proportions in similar triangles: Find the value of X.
If someone would be kind enough to explain how to do this :)
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Select the correct answer. What is the area of the cross section that is parallel to side PQRS in this rectangular box? A. 12 square units B. 16 square units C. 30 square units D. 40 square units
Answer:
12 square units.
Step-by-step explanation:
Questions are attached
Answer:
V = 32 in^3
Step-by-step explanation:
The area of the triangle is (1/2)(base)(height), which here comes to:
(1/2)(4 in)(8 in) = 16 in^2.
The volume is (16 in^2)(height) = (16 in^2)(2 in) = 32 in^3
Graphs are sometimes______by the way they present information.
Answer:
Misleading?
Step-by-step explanation:
Graphs can have mislabeled axes or different values on the axes, making them hard to understand.
I think this is the right answer, but the question was way too vague. Next time, put some options or at least explain the problem better.
The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?
Answer: -8 degrees
Step-by-step explanation: 12-4 is 8 so the difference is -8
Use the Venn diagram to list the elements of the set in the roster form
Answer:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Step-by-step explanation:
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!
Is my answer correct. If not, what is the answer ? Thank you
Answer:
P = 3
Q = -4
R = 22
Step-by-step explanation:
Expand both sides and compare coefficients.
5Px^2 -PQx +10x -2Q = 15x^2 + Rx +8
Compare coefficients of x^2
5P = 15 => P = 3
Compare constant terms
-2Q = 8
Q = -4
Compare coefficients of x
-PQ + 10 = R
-(3)(-4) + 10 = R
R = 10 + 12 =22
please help me. Need answer asap.
Answer:
x=11.2
Step-by-step explanation:
Add the equations.
-10y=40
y=-4
input y
5x-8=48
5x=56
x=56/5
x=11.2
Answer:
x = 11.2 and y = -4
Step-by-step explanation:
Add the two equations
-5x -12y = -8
5x+2y = 48
-------------------
-10y = 40
Divide by -10
-10y/10 = 40/-10
y = -4
5x+2y = 48
5x +2(-4) = 48
5x -8 = 48
Add 8 to each side
5x = 56
Divide by 5
5x/5 = 56/5
x = 56/5
x =11.2
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)
Answer:
26% or 10/39
Step-by-step explanation:
Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.
There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.
One side of a rectangle is X+7 units long, and the other side is X+3 units long. Express the area of the rectangle as a polynomial. If the value of X is 10, what is the value of the Polynomial?
Answer:
area as a polynomial: x^2 + 10x +21
If the value is 10: 221 units square
Step-by-step explanation:
to solve for the polynomial just do (x+7)(x+3) use the box method if your unfamiliar with this
to solve for the value just plug it in the polynomial you got from the previous answer
hope this helps
PLEASE HELP ME QUICK !!!!!!!! -8 x 10^7/-4 x 10^6
Answer:
20
Step-by-step explanation:
How many solutions does this system have? 2 x - 3 y = 10. -4 x + 6 y = - 20.
A) One
B) Two
C) An infinite number
D) No solution
Answer: The correct answer is: [D]: " No solution " .
______________________________________
Step-by-step explanation:
We are given the following system of equations:
2x − 3y = 10 ;
-4x + 6y = -20 ;
_______________________________________
Let us take the second equation:
-4x + 6y = -20 ;
and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :
- 1 * { - 4x + 6y } = -1 * (-20} ;
to get:
4x − 6y = -20 ;
Now, let us simply this equation further; by divide each side of the equation by "2" ;
(4x − 6y) / 2 = (-20) / 2 ;
→ [ (4x) / 2 ] − [ (6y) / 2 ] = -10 ;
to get: 2x − 3y = -10 ;
Then we have: 2x − 3y = 10 ;
Note: 10 ≠ -10 .
_______________________________________
So the answer is: [D]: " No solution."
_______________________________________
Hope this explanation helps you! Best wishes!
_______________________________________
Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2
Find F/G/H(2)
121
27
71
Answer:
3/32
Step-by-step explanation:
One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:
F(2) = 2(2) - 1 = 3
G(2) = 3(2) + 2 = 8
H(2) = (2)^2 = 4
3/8
Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32
4
which sentence is represented by this algebraic equation "X/2-3=15"
Answer:
A
Step-by-step explanation:
The correct answer is A.
"3 less than" represents -3
"half of x" represents x/2
"is 15" represents =15
A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week. a) Would the 3000 people constitute a census or a sample? b) Was the data qualitative or quantitative?
Answer: a) sample
b) quantitive.
Step-by-step explanation:
Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.
Here, population = "people who ate fast food two or more times per week"
Since a census is the data of all members in a population whereas a sample is a subset of it.
Then, 3000 people constitute a sample as it is a subset of the population.
Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.
So, the data is quantitative.
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year.
Complete question :
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Earned revenue = $53,000
Cash received from customers = $45000
Incurred expenses = $29,500
Cash paid towards incurred expenses = $23,050
Cash which will not be expensed till next year = $8,750
Cash Accounting:
Cash received $45,000
Expenses ($23,050 + $8750) = $31,800
Net Income $(45,000 - 31,800) = $13,200
Accrual Accounting :
Revenue earned $53,000
Expenses incurred $29,500
Net income $(53,000 - 29,500) = $23500
this squared based pyramid is cut horizontally at a height of 15cm to leave this frustum base area=10cm
Answer:
583.33 cm³
Step-by-step explanation:
From the image attached, the total height (H) of the pyramid is 30 cm, the height of the frustrum (h) = 15 cm, the Frustrum base = lower base = B = 10 cm . To find the length of the upper base (b), we use:
[tex]\frac{b}{H-h}=\frac{B}{H}\\ b=(H-h)\frac{B}{H}\\b=(30-15)\frac{10}{30}=5\\b=5\ cm[/tex]
The volume of the frustrum is given by:
[tex]V=\frac{1}{3}h(B_1+B_2+\sqrt{B_1B_2} )\\ Where\ B_1\ is \ the\ area \ of\ the\ upper\ base= 5cm*5cm=25cm^2\\B_1\ is \ the\ area \ of\ the\ lower\ base= 10cm*10cm=100cm^2\\V=\frac{1}{3}(10)(25+100+\sqrt{25*100} )=583.33\\V=583.33\ cm^3[/tex]
Which expression is equivalent to 15 (n+3/n) ?
£
N=10
Answer:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
Step-by-step explanation:
Given expression : [tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
Solving further:
[tex]\sum_{n=10}^{15}(n+\frac{3}{n})[/tex]
[tex]\Rightarrow \sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So,[tex]\sum_{n=10}^{15}(n+\frac{3}{n})=\sum_{n=10}^{15} n + \sum_{n=10}^{15} \frac{3}{n}[/tex]
So, Option A is true
Hence the given expression is equivalent to Option A
Answer:
a
Step-by-step explanation:
edg 21 ^u^
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 118 t + 115 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
What is the difference between a Rate and a Ratio? Explain
Answer:
The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
PLEASE HELP!!!! QUESTION IS BELOW
Answer:
[tex]\boxed{70\°}[/tex]
Step-by-step explanation:
Angle ABP and angle MAB are corresponding angles.
Corresponding angles are equal.
Angle ABP = 50 degrees
Angle CBP and angle BCQ are corresponding angles.
Corresponding angles are equal.
Angle CBP = 20 degrees
Angle ABC is the sum of angles CBP and ABP.
[tex]50+20=70[/tex]
Select the arithmatic sequence from the following:
Select one:
a.-2, 3, 5, 10, 18
b.- 2.0, 8, 13, 17
C. - 2, 3, 8, 15, 20
d. - 2, 3, 8, 13, 18
Answer:
d) -2, 3, 8, 13, 18
Step-by-step explanation:
d) is the only one that has the same change each time (+5)
Answer:
[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]
Step-by-step explanation:
[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]
