Answer:
Mode: 94
Mean: 89
Difference between them: 5
Step-by-step explanation:
A woman weighs herself. Her mass is 43.4 kg and she is trying to increase .She successfully increases her mass by 8%. a) Work out the increase in her mass. b) Work out her new mass.
Answer:
Increase in her mass = 3.472 kg
Her new mass = 46.872 kg
Step-by-step explanation:
Her original mass = 43.4 kg
Percentage increase in her mass = 8%
Increase in her mass = 8% of 43.4 kg
= 8/100 * 43.4 kg
= 0.08 * 43.4 kg
= 3.472 kg
Increase in her mass = 3.472 kg
b) Work out her new mass
Her new mass = Her original mass + Increase in her mass
= 43.4 kg + 3.472 kg
= 46.872 kg
Her new mass = 46.872 kg
Please help me solve this ;-;
9514 1404 393
Answer:
C log3(√((x -4)/x)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^n) = n·log(a)
The base is irrelevant, as long as all logs are to the same base.
__
[tex]\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}[/tex]
Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?
Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.
Survey students taking Marketing to determine how many also take Spanish.
Survey students taking Spanish to determine how many also take Marketing.
Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.
Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora
Respuesta:
03:40 pm;
15: 40;
20 minutos antes de las 4 pm;
40 minutos después de las 3 pm
Explicación paso a paso:
20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:
Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm
Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40
Además, el tiempo se puede informar en palabras de la siguiente manera:
20 minutos antes de las 4 pm
También ;
40 minutos después de las 3 pm
Which of the following shows the coordinates of Q(3,-5) after a translation of
3 units right?
Q'(0,-5)
Q'(6,-5)
Q'(6,-2)
Q'(3,-2)
Answer:
(0,-5)
Step-by-step explanation:
move the x point to the right three times im pretty sure
please help! 20 points. if you guess or just comment to take points i will make sure ur account gets banned, thanks! i want a simple explanation pls
Answer: x=15
Step-by-step explanation: Since 3x+5 is equal to 50, you can write 3x+5=50, and 3x=45, x=15.
Tell me answer
I will mark him or her as well done and brilliant and thank you
Answer:
(iv) 343
Step-by-step explanation:
[tex]\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343[/tex]
Answer:
Step-by-step explanation:
1/7*x=49
x/7=49
x=49*7
x=343
Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.
Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get
[tex]AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}[/tex]
[tex]AB=\sqrt{(19)^2+(2)^2}[/tex]
[tex]AB=\sqrt{361+4}[/tex]
[tex]AB=\sqrt{365}[/tex]
Similarly,
[tex]BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}[/tex]
[tex]BC=\sqrt{73}[/tex]
And,
[tex]AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}[/tex]
[tex]AC=\sqrt{292}[/tex]
Now, add the square of two smaller sides.
[tex]BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2[/tex]
[tex]BC^2+AC^2=73+292[/tex]
[tex]BC^2+AC^2=365[/tex]
[tex]BC^2+AC^2=(AB)^2[/tex]
Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
Erin has 5 cans of juice and drinks 13 of a can daily. In how many days will she empty all the cans she has?
Answer:
15 days
Step-by-step explanation:
Don't you mean 1/3? If so,
5 cans
-------------------- = 15 days
1/3 can/daily
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
A population of beetles is modeled by the equation b(t) = 3,000 (2)t where t represents the number of weeks since the population was first measured?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]b(t) = 3000 * 2^t[/tex]
The question is incomplete;
A possible question could be to calculate the initial amount of beetle
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]a \to Initial\ amount[/tex]
By comparison:
[tex]a = 3000[/tex] --- The initial number of beetles
Another question could be to solve for f(t), after a certain number of weeks (say 3)
Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]
[tex]b(3) = 3000 * 2^3[/tex]
[tex]b(3) = 3000 * 8[/tex]
[tex]b(3) = 24000[/tex]
4x-6=30
i need help really bad !!!
Answer:
4x-6=30
4x=36
x=9
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x = 9
Explanation:
Move all terms that do not contain x to the right side and solve.
Select the correct solution set.
-7x ≥ 56
{x | x ≥ -8}
{x | x ≤ -8}
{x | x ≥ 8}
Answer:
{x | x ≤ -8}
Step-by-step explanation:
-7x ≥ 56
Divide each side by -7, remembering to flip the inequality since we are dividing by a negative
-7x/-7 ≤ 56/-7
x ≤ -8
Determine if each equation will have 0, 1, or 2 solutions. Equation A: x(x−3)=0 This equation has ____ solutions because... Equation B: x2=−81 This equation has ____ solutions because... Equation C: (x−1)(x−1)=0 This equation has ____ solutions because...
Answer:
See below
Step-by-step explanation:
Given the expression
x(x-3) = 0
This can be written as x = 0 and x - 3 = 0
x = 0 and x = 0+3
x = 0 and x = 3
Hence the equation has 2 solutions since it is a quadratic equation
B) Given x^2 = -81
Take the square root of both sides
√x² = ±√-81
x =±√-81
Note that √-1 = i
x = ±9i
x = 9i and -9i
Hence this equation has 2 solutions because of its quadratic nature
C) (x−1)(x−1)=0
x - 1 = 0 and x = 1 = 0
x = 1 twice
Hence this equation has 1 solution because of its repitition of root
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!
( Picture Included )Help please, and don’t comment unnecessary things.
Answer:
Angle 1 and Angle 8 are alternate exterior angles.
Step-by-step explanation:
If this helps please mark as brainliest
Write with fractional exponents.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y^\frac{2}{3}[/tex]
»»————- ★ ————-««
Here’s why:
We are supposed to rewrite a radical expression as an expression with fraction exponents.⸻⸻⸻⸻
The rule for a fraction exponent is:
[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]
⸻⸻⸻⸻
We are given the expression of [tex]\sqrt[3]{y^2}[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]
⸻⸻⸻⸻
[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is 2000% as a fraction
Answer:
20000/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
2000%=2000/100=20/1
which type of parent function is f(x) = 3^x?
Answer:
c
Step-by-step explanation:
because there is a 3 in front of the root it is a cubed root since
2= square- the two is invisible but its there
3= cubed
A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned. identify the types of bias
The type of bias that is used in this study is a non-response bias.
What is a Non-Response Bias?This refers to the type of bias that is used to show the non-responsiveness of subjects in a study when they drop out or do not complete a study.
Hence, we can see that from the given narration, we can see that there is a list of the 12,304 students and from this, 200 students are selected and only 78 are returned which shows that this is a non-responsive bias.
Read more about non-response bias here:
https://brainly.com/question/14286334
#SPj2
how to graph linear standard 3x−4y=24
Graph the linear equation. 3x-4y= 24
---------------------
Let x = 0, then y = -6
Let y = 0, then x = 8
----------------------------
Plot (0,-6) and (8,0) and draw a line thru them to get:
If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
–84
Answer:
hmm very diffecult.
Step-by-step explanation:
if f (x) = StartRoot
Helpp!! Please answer both parts of the question will mark brainliest.
Answer:
Part A. x is greater than y
Part B. y is greater than x.
Step-by-step explanation:
Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.
Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.
Use distributive property and then combine like terms to write an equivalent expression for:
4(y2 + 2) + 6x - 2y3 + 12x
Answer:
−2y3+4y2+18x+8
Step-by-step explanation:
Let's simplify step-by-step.
4(y2+2)+6x−2y3+12x
Distribute:
=(4)(y2)+(4)(2)+6x+−2y3+12x
=4y2+8+6x+−2y3+12x
Combine Like Terms:
=4y2+8+6x+−2y3+12x
=(−2y3)+(4y2)+(6x+12x)+(8)
=−2y3+4y2+18x+8
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
Answer:
0 ≤ x ≤ 30
Step-by-step explanation:
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
f(x) = 250(1.25)ˣ
Which of the following is a reasonable domain for the function?
0 ≤ x ≤ 250
0 ≤ x ≤ 30
All positive integers greater than 100
All real numbers
Solution:
Given that f(x) = 250(1.25)ˣ, where x is the number of days and f(x) is the population of the birds after x days. This means that at the beginning of the month of September (i.e. at x = 0), the population of the birds was 250. And as each day goes by, the population of the bird increases by a factor of 1.25.
The domain of a function is the set of all possible independent variables. In this case the number of days (x) is the independent variable. Since in the month of September there are 30 days, therefore the domain is:
0 ≤ x ≤ 30
A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?
Answer:
9 3/8 inches
Step-by-step explanation:
Inches of candle : hours it burned
= 5 inches : 4 hours
How far has it burned after 7 1/2 hours?
Let
x = how far it has burned (inches)
Inches of candle : hours it burned = x inches : 7 1/2 hours
Equate both ratios
5 inches : 4 hours = x inches : 7 1/2 hours
5/4 = x ÷ 7 1/2
5/4 = x ÷ 15/2
5/4 = x * 2/15
5/4 = 2x/15
Cross product
5 * 15 = 4 * 2x
75 = 8x
x = 75/8
x = 9 3/8 inches
x = how far it has burned (inches) = 9 3/8 inches
Please help me solve this math it’s due in 1 hour
ITEMS
The calculator shown costs $160.00 after a discount of $40.00 was given
Calculate the cost of the calculator before the discount
Answer:
mp=160
dis=40
now,
sp=mp-dis
=Rs. 160-Rs.40
=Rs. 120
is "6x – (3x + 8) = 16x" a no solution
Answer:
no x = -8/13
Step-by-step explanation:
6x – (3x + 8) = 16x
Combine like terms
6x -3x -8 = 16
3x-8 = 16
Subtract 3x from each side
3x-8-3x = 16-3x
-8 = 13x
Divide by 13
-8/13 = 13x/13
-8/13 =x
Answer:
No, the answer would be -8/13
Step-by-step explanation:
6x-(3x+8)=16x
6x-3x-8=16x
3x-16x=8
-13x=8
x=-8/13
the function h=-16t^2+48t represents the height h (in feet) of a kickball t seconds after it is kicked from the ground
Answer:
36 feet
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 48t[/tex]
Required
Determine the maximum height attained
First, calculate the time to reach maximum height;
In a quadratic equation;
[tex]y = ax^2 + bx + c[/tex]
The maximum is:
[tex]x = -\frac{b}{2a}[/tex]
So, we have:
[tex]t = -\frac{b}{2a}[/tex]
Where
[tex]a = -16; b = 48[/tex]
So:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{48}{2 * -16}[/tex]
[tex]t = -\frac{48}{-32}[/tex]
[tex]t = \frac{48}{32}[/tex]
[tex]t = 1.5[/tex]
The maximum height is at: [tex]t = 1.5[/tex]
So, we have:
[tex]h(t) = -16t^2 + 48t[/tex]
[tex]h_{max}=-16 * 1.5^2 + 48 * 1.5[/tex]
[tex]h_{max}=36[/tex]