Step-by-step explanation:
15=600sec
x=60
criss-cross it.
900/600=600x/600
x=1.5galon
– 1/4 × 2/5 + – 4/5 + – 3/4
Answer:
- 1/4 × 2/5 + - 4/5 + - 3/4 = -33
20
= -1 13
20
= -1.65
Step-by-step explanation:
Answer:
the answer iss...−1.65
Step-by-step explanation:
Find the value of n.
8 x n = 5 x 8
Answer:
n=5
Step-by-step explanation:
Solve and isolate n.
8 x n = 5 x 8
8 x n = 40 Divide out the 8
n=5
What is the value of x (7x-1) (6x-1) now
Answer:
42
Step-by-step explanation:
Its impossible tto calculate x there.
But i can simply the expression for you...
42x²-13x+1
Solve 2x^2 – 13x + 14 = 0 to the nearest tenth. Submit Answer
Answer:
x = 5.1 and x = 1.4
Explanation:
When we have an equation with the form:
ax²+bx+c=0
The solutions of the equation can be calculated using the following equation:
\(\begin{gathered} x=\frac{-b+\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-b-\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)So, our equation is 2x²-13x+14=0 where a is 2, b is - 13 and c is 14. Then, the solutions are:
\(\begin{gathered} x=\frac{-(-13)+\sqrt[]{(-13)^2-4(2)(14)}}{2(2)}=\frac{13+\sqrt[]{57}}{4}=5.1 \\ x=\frac{-(-13)-\sqrt[]{(-13)^2-4(2)(14)}}{2(2)}=\frac{13-\sqrt[]{57}}{4}=1.4 \end{gathered}\)Therefore, the solutions to the nearest tenth are 5.1 and 1.4
In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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How many unique ways are there to arrange the letters in the word PRIOR?
Answer:
60
Step-by-step explanation:
Answer:
it is 60
Step-by-step explanation:
35. The mean of four numbers is 23. A fifth number, 33, is added to the
total. What is the new mean?
Step-by-step explanation:
the new mean who be 56 i think
Answer:
please rate my answer 5 star
Step-by-step explanation:
First, we need to get the sum of the four numbers
\(mean = \frac{sum \: of \: all \: items}{number \: of \: items} \)
Sum of all four numbers = 23*4
Sum of five numbers = 23*4 + 33
Mean of five numbers = (23*4 + 33)/5
Suppose that you are a member of the typical American household and your family carries a credit card debt of
$7942. Use the TVM (Time-Value-of-Money) Solver to model a few credit card scenarios. (Note: Use months
rounded to the nearest hundredths on all calculations.)
1. If the average annual interest rate is 17.11%, how many months will it take the average American family
to pay off their debt of $7,942 if they make a minimum payment of $175 each month and no additional
purchases are made?
2. How much interest did you pay during this time?
1. At an annual interest rate of 17.11%, an average family needs 74 months to settle $7,942 at a $175 monthly payment.
2. The total interest is $4,932.10.
What is a monthly payment?The monthly payment is the amount paid each month to settle the loan within its maturity period.
The monthly payment can be computed using an online finance calculator.
We can also determine the period of payment using the same online finance calculator as below.
Data and Calculations:I/Y (Interest per year) = 17.11%
PV (Present Value) = $7,942
PMT (Periodic Payment) = $-175
FV (Future Value) = $0
Results:
N = 73.566
Sum of all periodic payments = $12,874.10
Total Interest = $4,932.10
Thus, while it will take 74 months for the average American family to pay off the loan of $7,942 with a monthly payment of $175 at 17.11% interest, the total interest paid is $4,932.10.
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A 20 foot ladder is leaning against a 25 foot building. The bottom of the ladder is 9 feet away from the building. How high is the top of the ladder above the ground?
Answer:
17.9 feetStep-by-step explanation:
This is a right triangle
the 20 foot ladder is the hypotenuse
The 9 foot at the bottom is one leg
The height is the remaining leg
Use the pythagorean theorem
a² + b² = c²
a² + 9² = 20²
Subtract 9² from both sides
a² = 20² - 9²
a² = 400 - 81
a² = 319
Take the square root of both sides
a = 17.860571099491752
rounded
17.9 feet
Answer:
A ladder is the hypotenuse of the right triangle.
Missing leg is x.
Use Pythagorean:
x² = 20² - 9²x² = 319x = √319x = 17.86 feet or 18 feet rounded\(7*3^x=189\)
1. 237 + 496 =
1. 600 - 321 =
7. 993 - 294 =
Answer:
237+496= 733
600-321= 279
993-294= 699
Find the mean 12, 13, 15, 16, 24, 15, 22, 10, 9, 13, 13, 18, 16, 25, 23, 24
Round to two decimals
Answer:24
Step-by-step explanation:
because
What is the slope of the line in the graph?
Answer:
The slope of this line is 1 and the equation for the line is y=x+1
Step-by-step explanation:
So take 2 points passing through the the line (0,1), (-1,0)
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=1.
Also, let's call the second point you gave, (-1,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=0.
Now, just plug the numbers into the formula for m above, like this:
m=
0 - 1
-1 - 0
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=1x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(0,1). When x of the line is 0, y of the line must be 1.
(-1,0). When x of the line is -1, y of the line must be 0.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=x+b. b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,1) and (-1,0).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(0,1). y=mx+b or 1=1 × 0+b, or solving for b: b=1-(1)(0). b=1.
(-1,0). y=mx+b or 0=1 × -1+b, or solving for b: b=0-(1)(-1). b=1.
In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(0,1) and (-1,0)
is
y=x+1
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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Is 21.23 a rational number Show evidence
Answer:
Yes, 21.23 is a rational number.
\(21.23=\dfrac{2123}{100}\)
Step-by-step explanation:
Terminating decimal numbers are decimals that have a finite number of decimal places.
A Rational Number is the division of an integer by another integer.
Therefore, 21.23 is a terminating decimal since it has a finite number of decimal places.
Let x be the rational number.
\(\implies x=21.23\)
Multiply both sides by 100 so that the right side is an integer:
\(\implies 100x=2123\)
Divide both sides by 100:
\(\implies x=\dfrac{2123}{100}\)
(This fraction cannot be reduced any further).
Therefore, we have proved that 21.23 is a rational number.
Answer:
It is a rational number.
Step-by-step explanation:
Given value,
→ 21.23
Converting into rational number,
→ (21.23/1) × (100/100)
→ (21.23 × 100)/(1 × 100)
→ 2123/100
Hence, it is a rational number.
Susan walked 20 of the 25 miles she set as her goal for the week. What percent of the miles has she walked?
Answer:
20/25 = 4/5 = .80 = 80%
Step-by-step explanation:
What are the numbers and called in a number line ??
Answer:
numbers
Step-by-step explanation:
numbers
Find the coefficient of the given term when the expression is expanded by the binomial theorem.
x7 in (3x + 4)10
Can someone help me out with this problem i need step by step help
Discrete mathematics
The coefficient of \(x^{7}\) is 16796160.
For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)
General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.
The general term in the binomial expansion of (x + y)^n is
T(r+1) = nCr x^(n-r)y^r.
Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.
We can use the general term for this.
\(T_{r+1} = (nCr) a^{n-r} x^{r}\)
Since we have to find \(x^{7}\),
\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)
This is the coefficients of \(x^{7}\)
Calculating,
10C3 = 120 (using combinations)
\(3^{7} = 2187\\4^{3} = 64\)
Therefore, multiplying the 3,
Coefficients of \(x^{7}\) = 120 * 2187 *64
= 16796160
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Tala Abarkowe NAME PERIOD Unit 2 Lesson 5 Cool Down An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d = 50t. = 1) What are two constants of proportionality for the relationship between distance in kilometers and number of hours? Due in this s cose lh sud
Given relation is
\(d=50t\)Here, d is the distance in kilometers and t is the number of hours.
Since distance and time both vary, therefore, they are not constants.
The only value which is fixed is 50.
Therefore, the only constant of proportion is 50.
Since the ratio of two valus are constant, therefore, they are in direct proportional relationship.
From the given relation, we can write
\(t=\frac{d}{50}\)Hence, another relationship between d and t is
\(t=\frac{d}{50}\)Hii! Can anyone please help me with this? I'm giving 30 points and BRAINLIEST!! TYSM. :D
Answer:
I added a picture, with the answers. I hope it’s good.
Step-by-step explanation:
A physical education teacher shares 21 bean bags equally between 4 students. The number of bean bags that each student gets lies between what two whole numbers.
A: 3 and 4
B: 5 and 6
C: 2 and 3
D: 7 and 8
Answer:
B. 5 and 6
Step-by-step explanation:
21 bean bags divided by 4 students will give you 5.25. That lies between 5 and 6. Hope this helps you and that little brainliest crown in the corner looks mighty tempting to click ;))
Answer:
B
Step-by-step explanation:
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1
How to find the area of a regular polygon
A polygon is regular when all sides and central angles have the same length.The area of a regular polygon (A) can be found in terms of the number of sides (n) and the apothema (a), whose length is 17, by using the following formula:
A = 0.25 · n · a² · tan (180/n) (1)
If we know that n = 8 and a = 17, then the area of the regular octagon is:
A ≈ 239.415
Based on characteristics of regular polygons, the area of the regular octagon with an apothema of 17 units is approximately 239.415 square units. #SPJ1
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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
What is three quarters of an hour. How do you do this problem.
Answer:
that would be 45 minutes
Step-by-step explanation:
take an hour, which is 60 minutes and 3/4 of an hour is 45
Divide 60 by 4, which will give you the answer for 1/4 of an hour (aka one quarter) Then you'd take that (which is 15) and multiply it 3 times, thus giving you 45.
Equation style:
60/4=15
15 x 3= 45
I need some help I suck at math♂️♂️
Answer:
x = 11
Step-by-step explanation:
Add 7/6 to each side, so it now looks like this: 5/6x = 55/6Divide each side by 5/6 to cancel out the 5/6 next to x. It should now look like this: x = 11I hope this helps!
To find the quotient Three-fourths divided by one-eighth,
Answer:
Step-by-step explanation:
1. Convert words to math
3/4/1/8=
3/4*8/1=
24/4=
6
3. Answer: 6
What ones are the right ones I’ve been trying for 40 minutes to get it and I can’t
Answer:
Explanations:
The rate of change of a line is also known as a slope. The fomula for calculating the slope of a line is gi
(GIVING BRAINLIEST!!)
Two magnets push away from each other and do not attract. What do we know to be true and what type of force is being demonstrated? Write 2 or more sentences to support your answer :)
Answer: it could be a mangintic force.. Because if two magnets a.k.a the north and south pole magnets are brought together they will push each other away instead of sticking.
Hope this helps
Answer:
They are repeling because they are both negitively charged
Step-by-step explanation:
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Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x-2y=10
Answer:
(14,2) and (-6/5,-28/5)
Step-by-step explanation:
The distance, d, from two points (x,y) and another point (a,b) can be calculated using
d=sqrt((x-a)^2+(y-b)^2).
Our point (a,b) is (2,7) and d=13.
Making substitutions:
13=sqrt((x-2)^2+(y-7)^2)
We are also given the relation between x and y is given as x-2y=10.
Adding 2y to both sides gives: x=10+2y
Make this insertion into our equation:
13=sqrt((10+2y-2)^2+(y-7)^2)
Simplify inside:
13=sqrt((8+2y)^2+(y-7)^2)
Square both sides:
169=(8+2y)^2+(y-7)^2
Expand binomial squares:
169=64+32y+4y^2+y^2-14y+49
Combine like terms:
169=5y^2+18y+113
Subtract 169 on both sides:
0=5y^2+18y-56
We could try to factor
0=(5y+28)(y-2)
So y=2 or y=-28/5
Recall x=10+2y
So if y=2, then x=10+2(2)=10+4=14.
So if y=-28/5, then x=10+2(-28/5)=10+(-56/5)
=50/5 +-56/5
=-6/5.
So two points satisfying given criteria is
(14,2) and (-6/5,-28/5).