Answer:
0
Step-by-step explanation:
Answer:
Step-by-step explanation:
rip
Select all equations that are true. O A. 9.21 x 1000 = 921 O B. 9. 21 x 10 = 92.1 O. C. 0.921 x 100 = 921 O D. 0.921 x 104 = 9,210 I E. 0.0921 x 102 = 9.21
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?
100
120
240
720
Answer:
120
Step-by-step explanation:
There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
Here, We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Hence, we can use the permutation formula:
P (n, k) = n! / (n - k)!
P (6, 3) = 6! / (6 - 3)!
P (6, 3) = 120
Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
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What is the area of the arrow
Answer:
32.6
Step-by-step explanation:
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument? (3 points) Select one: a. 20 students b. 61 students c. 244 students d. 285 students
Answer:
number of students that play an instrument= 61
Step-by-step explanation:
Giving the following information:
20% of the students play an instrument
Number fo students= 305
To calculate the number of students that play an instrument, we need to use the following formula:
number of students that play an instrument= total students*proportion of students
number of students that play an instrument= 305*0.2
number of students that play an instrument= 61
what is 20 percent of 305
61
just did a test with that question got it right
P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.
Answer；
By simply calculating, using the length and width with the relationship given, it's solved.
25:18
Step-by-step explanation:
see the graph↑
Hope this one can help you!!
A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)
The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
Step-by-step explanation:
Given information:
[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]
[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]
[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]
[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]
Now,
If ,we take a right circular cone with radius r and height h , its volume
[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]
Now, the radius of cone when the volume of water tank is given
[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]
The ratio of height to radius of the cone :
[tex]\text {h/r} =3[/tex]
[tex]\text r = \text h/3[/tex]
Now calculate :
[tex]dV/dt= dV/dh \times dh/dt[/tex]
Which gives:
[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]
As ,
[tex]27=\frac{1}{27 \times h}[/tex]
[tex]\text h^3=27^2\\\text h= 9\\[/tex]
Now,
[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]
Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
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The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?
Answer:
k=7
Step-by-step explanation:
when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.
Express 9% as a fraction in simplest form.
Answer:
[tex] \frac{9}{100} [/tex]
Step-by-step explanation:
9% =0.09 =9/100
9/100 cannot be simplified so that's your answer.
9% as a fraction in simplest form is 9/100.
To express 9% as a fraction in simplest form, we first recognize that "percent" means "per hundred."
Thus, 9% is equivalent to 9 per 100 or 9/100.
However, to simplify this fraction further, we find the greatest common divisor (GCD) of the numerator (9) and the denominator (100), which is 1.
Dividing both the numerator and denominator by their GCD yields 9/100.
Hence, 9% as a fraction in simplest form is 9/100.
This means that 9% represents nine parts out of 100 equal parts, making it a concise and clear representation of a percentage as a fraction.
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Which of the following is an arithmetic sequence?
A. 2, 4, 8, 16, ...
B. -8, -6, -4, -2, ...
C. -2, 4, -6, 8, ...
Answer:
B
Step-by-step explanation:
Brainliest please, thanks :)
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
Find the area of a triangle whose vertices are located at (-2,5), (-4, -3), and (3,1). Evaluate the determinant using diagonals.
Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |[/tex]
Substituting gives;
[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right | = 48[/tex]
The area of the triangle = 48 unit².
PLS HELP ME NEED ANSWERS ASAP pls and thank you!!!!
What answers do you need?
Have a nice day
Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?
Answer:
Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.
Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.
Find the value of c that completes the square
x^2+2x+c
Please help me with how to do this, and show me. Thank you.
Answer:
c = 1
Step-by-step explanation:
Given
x² + 2x + c
To complete the square
add ( half the coefficient of the x- term )² to x² + 2x
x² + 2(1)x + 1
= (x + 1)²
Thus
x² + 2x + 1 = (x + 1)² ← a perfect square
with c = 1
4n+3< 6n+8 -2n what is n
Answer:
[tex]8>3[/tex]
Step-by-step explanation:
STEP 1: Rewrite so n is on the left side of the inequality.
[tex]6n+8-2n>4n+3[/tex]
STEP 2: Subtract 2 n from 6 n .
[tex]4n+8>4n+3[/tex]
STEP 3: Move all terms containing n to the left side of the inequality.
[tex]8>3[/tex]
David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all
Answer: I believe it is 3.75-
Step-by-step explanation:
David: 3.25
Jenny: 2.25 more than Dan
Dan: 1.75 less than David
3.25
- 1.75
_______
1.50
Dan spent 1.50
1.50
+ 2.25
3.25
_______
$7.00
In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)
Answer:
3x + 7y > 21
Step-by-step explanation:
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
Answer:
3x + 7y > 21
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
Solve the following:
2(x+3)=x-4
Separate question
4(5x-2)=2(9x3)
Answer:
Step-by-step explanation:
2x+6=x-4
x=-10
20x-8x=.....
What is an example of all data collected on a group
Answer:
Direct Observation
Step-by-step explanation:
Some of the most common qualitative data collection techniques include open-ended surveys and questionnaires, interviews, focus groups, observation, case studies, and so on.
There are many methods used to collect or obtain data for statistical analysis. Three of the most popular methods are: Direct Observation • Experiments, and • Surveys. A survey solicits information from people; e.g. Gallup polls; pre-election polls; marketing surveys.
For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
transformation:rotation,reflection or translation?
90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?
followed by a reflection, rotation or translation?
Answer:
Step-by-step explanation:
Counter clockwise 180 degree rotation
What it the average rate between o and 20?
Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
Answer:
1
Step-by-step explanation:
1+1=2
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Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)
Answer:
There's no graph
Step-by-step explanation:
someone please help :)
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth
Answer:
6.4
Step-by-step explanation:
To find the distance you have to do this formula.
[tex]\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4[/tex]
6.4 is the answer rounded to the nearest tenth.
Hope this helps!!
