A dolphin travels through the water at a speed of 25 kilometers per hour. Which representation shows the distance a dolphin can travel at this rate
Answer:
B
Step-by-step explanation:
7+2x/3=5
what is x ?
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )
21 + 2x = 15
2x = 15 - 21
2x = -6
x = -6/2
x = -3
Answer:
X=4
Step-by-step explanation:
Times both side by 3
then you get 7+2x=15
then minus 7 from both sides
2x=8
divide by 2
x=4
What is the value of - x^2 -4 x -11 if x =.3
Answer: -32
Step-by-step explanation:
I'm just going to plug in and break down the equation to make it more understandable and easier to comprehend
-(3^2) - (4*3) -11
-(9)- (12) -11
-9 - 12 - 11
-21 -11
-32
what is using cramer method x+y+z=4
Using the cramer method, we can find the value of the variables to be:
x = 1.5y = 3z = -1How to find the values ?To be able to find the values using the cramer method, we first need to find the values known as determinants of the coefficient matrix:
Determinant D :
D = 1 (- 1 - 0) - 1 (1 - 0) + 1(0 - 0)
= -1 - 1
= -2
Determinant Dx:
= 4(-1 - 0) - 1(-3 - 0) + 1(0 - 0)
= -4 + 1 = -3
Determinant Dy:
= 1(-3 - 0) - 4(1 - 0) + 1(1 - 0)
= -3 - 4 + 1
= -6
Determinant Dz:
= 1(-1 + 3) - 1(0 - 0) + 4(0 - 0)
= 2
Using these, we can find the values to be:
x :
= Dx / D
= -3 / -2
= 1.5
y:
= Dy / D
= -6 / -2
= 3
z:
= Dz / D
= 2 / -2
= -1
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Full question is:
what is using cramer method x+y+z=4 x-y=-3 z = 1
The volume, in cubic feet, of a right cylindrical silo of height and radius is \(V = \pi r^2h\) The height of the silo is h(r) = 3.5r. Which statements are true regarding the functions described?
A. To get a volume of 100 cubic feet, the radius must be 2 feet.
B. The domain of \(V(h(r))\) is restricted to values of r greater than 0.
C. The output of V is the input of h
D. \(V(h(r)) = 3.5\pi r^3\)
E. The volume depends on the radius of the cylinder
1. The domain of \(V (h(r))\) is restricted to values of r greater than 0.
2. \(V(h(r)) = 3.5\pi r^3\)
3. The volume depends on the radius of the cylinder
Margaret charges $60 for 2 hours of math tutoring. Lyndsay charges $100 for 4 hours of math tutoring Who offers a better deal?
Answer:
Lyndsay charges a better deal
Step-by-step explanation:
With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.
Answer:
Margaret
Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.
60 divided by 2: 20
100 divided b 4: 25.
{~} Izzy ∩﹏∩ {~}
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
Which of these rectangles could be the shape of her scrap book cover?
Answer:
6in 5in
you have to do 5×2 and 6×2 and add those together
Answer:
The 6 by 5 rectangle
Step-by-step explanation:
It is the 6 by 5 rectangle because the text says she used 22 inches to border the cover. this means we need to look at the rectangles perimeters to find the answer. to find the perimeter of rectangles that only give you measurements for two sides you need to multiply each measurement by 2. So you need to do 6 times 2 and 5 times 2 to get 12 and 10. once you have your two numbers you add them together. 12+10=22. (remember we were looking for a recangle with a perimeter of 22 inches)
I hope this helps you out a little.
Factor the expression. K2 - 100h2
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
k^2 - 100h^2
Rewriting as
k^2 - (10h)^2
We recognize this as the difference of squares
We know the difference of squares is factored as a^2 -b^2 = (a-b)(a+b)
(k-10h) (k+10h)
Answer:
(k-10h) (k+10h)
Step-by-step explanation:
Find the volume of this
prism.
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
Jimmy is selling left over carpet that he originally paid $0.12 per square foot for. If Jimmy sells 120 square feet of this carpet at $0.15 per square foot, how much profit will he make?
$3.20
$14.40
$2.80
$18.00
$3.60
Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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Janet can make 3/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?
Answer:
1 4/5 of a necklace, or 1.8 necklaces.
Step-by-step explanation:
As we know, an hour has 60 minutes, and Janet can make 3/5 of a necklace in 20 minutes. 60/20 is 3. So we need to mulitply 3/5 by 3 to get the amount of necklaces she can make in an hour. When we do this, we get 9/5. We can convert this to 1 4/5, and as decimal form, this is 1.8. That is our answer. I hope this helps!
2) What is the value of y?
A) 2 B) 10 C)9 D)12
(geometry)
Answer:
D) y = 12
Step-by-step explanation:
One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:
\(\frac{a_1}{b}=\frac{a_2}{c}\)
Where (\(a_1\)) and (\(a_2\)) are a part of the side that is intersected by the angle bisector and (\(b\)) and (\(c\)) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.
\(\frac{4}{8}=\frac{6}{y}\)
Simplify,
\(\frac{1}{2}=\frac{6}{y}\)
Cross products,
\(12=y\)
On a multiple choice test with 24 questions each question has four possible answers one of which is correct for students who guess at all answers find the variance for the number of correct answers
Answer:
The variance for the number of correct answers is 4.5.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the correct answer is guessed, or it is not. Questions are independent of each other, so we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:
\(V(X) = np(1-p)\)
24 questions
This means that \(n = 24\)
Each question has four possible answers one of which is correct
This means that \(p = \frac{1}{4} = 0.25\)
Find the variance for the number of correct answers
\(V(X) = np(1-p) = 24*0.25*0.75 = 4.5\)
The variance for the number of correct answers is 4.5.
Does anyone know the answer?
Answer:
15°
Step-by-step explanation:
2x+5=3x
5=3x-2x
5=x
Now we can solve the angle.
<BAD=2x+5 = 2(5)+5 = 10+5 = 15°
In a class of 152 students, 100 are taking math (M), 77 are taking science (S), and 55 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)
The probability of taking math or science or both is 123/152
The total number of students = 152 students
Number of students who take math = 100 students
Number of student who take science = 77 students
Number of students who take both math and science = 55 students
The probability = Number of favorable outcomes / Total number of outcomes
We have to find each term
The number of favorable outcomes =55+45+23
= 123
Total number of outcomes = 152
Substitute the values in the equation
Probability of taking math or science or both = 123/152
Hence, the probability of taking math or science or both is 123/152
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Can someone pls help me with this i only have a little bit of time left pls hurry
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
A line passes through the points (2,4) and (5,6). Select Yes or No to tell whether each equation describes this line. Equation Yes No y−6=3/2(x+5) y−4=2/3(x−2) y−4=3/2(x+2) y−6=2/3(x−5)
Answer:
Step-by-step explanation:
Given: A line passes through the points (2,4) and (5,6).
* Case 1:
If a line passes through the points (2, 4) and (5, 6)
Point slope intercept form:
for any two points and
then the general form for linear equations where m is the slope given by:
First calculate slope for the points (2, 4) and (5, 6);
then, by point slope intercept form;
* Case 2:
If a line passes through the points (5, 6) and (2, 4)
First calculate slope for the points (5, 6) and (2, 4);
then, by point slope intercept form;
Yes, the only equation of line from the given options which describes the given line are;
and
Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
7. Which digital construction tool would help youdetermine whether point C or point D is the midpoint ofsegment AB?A. Angle bisectorB. Perpendicular bisectorC. Perpendicular lineD. Parallel line
The digital construction tool that would help determine wherer point C or point D is the midpoint of segment AB would be a Perpendicular Bisector. [Option B]
Since a bisector would divide the segment in two identical parts and the perpendicular line would mark the exact point in which the segment is being divided.
how do i find the yield percentage?
Answer:
First make sure the both weights have the same units.
Take your experimental yield and divide it by the theoretical yield.
Multiply this value by 100 to find the percent yield.
pls help me ooooooooooooooooooooooooooooooooo
Answer:
The answer is 9n+22> -29.
All decimals can also be represented on a
Answer:
Every decimal number can be represented as a rational number.
Answer: Every decimal number can be represented as a rational number.!!!! Hope these helped
Step-by-step explanation:
Which statement is true?
A. The number 39 is prime, but 40 is composite.
OB. The number 33 is prime, but 38 is composite.
OC. The number 43 is prime, but 39 is composite.
OD. The number 51 is prime, but 26 is composite.
Answer:
C.
Step-by-step explanation:
A. 39 = 3 × 13; not prime
B. 33 = 3 × 11; not prime
C. 43 = 1 × 43; prime
D. 51 = 3 × 17; not prime
Answer: C.
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
LOROWANIE Solve the system using elimination. 3x + 10y = -4 2x + 2y = 2 ([?], [ ]
Answer:
x+y=10
x+y=10-3
x+y=7
xy²=7
answer 7
hope that helps
Step-by-step explanation:
Brainliest?
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)