hat is the volume of this prism?
Rectangular prism composed of unit cubes. Prism is 6 units by 9 units by 7 units.
-----units3
What is the solution for the system of equations?
Use the substitution method to solve.
2x+y=20−5y=−6x+12
Enter your answer in the boxes.
( , )
Answer:
2x+y=20 and -5y=6x+12 are your equations.
You can turn 2x+y=20 into y=-2x+20
Substitute this value of y into the other equation.
-5(-2x+20)=-6x+12
10x-100=-6x+12
16x=112
x=7
Substitute this value of x into the other equation.
2(7)+y=20
y=6
Your answer is x=7 and y=6.
Karen paid $43.70 for a book. The price of the book was $40. what was the sale tax rate
Answer:
9.25%
Step-by-step explanation:
We have the price book of $40 but karen pais $43.70 then the $3.70 extra that she paid it's the value of taxes. Then to know the tax rate we have to do the next procediment:
[tex]$40\longrightarrow 100\%[\text]
[tex]$3.70\longrightarrow x\%[/tex]
Where x is the tax rate, then:
[tex]x=\dfrac{\$3.70\cdot 100\%}{\$40}[/tex]
[tex]x=\dfrac{370\%}{40}=9.25\%[/tex]
Choose the correct box of the best buy available. a can of tomatoes for 53¢ one can of tomatoes with a 20% discount when the regular price is 70¢ per can
The solution is: a can of tomatoes for 53 cents, is the best buy available.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
So, we have two options:
option 1: a can of tomatoes for 53 cents.
option 2: a can of tomatoes for 70 cents with a 20% discount.
First we have to determine the price of the 2nd option.
10 % of 70 cents is 7 cents
20 % of 70 cents is 14 cents.
So, we have 14 cents of discount, which makes the new price (70-14=) 56 cents.
Now our two options are either 53 or 56 cents.
Therefore option 1 is the best buy available.
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PLEASE HELP! WILL MARK BRAINLIEST!
Angle K in △MKL is a right angle.
What is the value of tan M ?
15/17
8/17
8/15
15/8
Solution :
Given that, In triangle MKL, angle K is a right angle.
To find the value of tan M,
As we know by trigonometric ratio, that In a right angled triangle
[tex] tan (\theta)= \frac{opposite }{Adjacent} [/tex]
Here Opposite means opposite side of the angle and adjacent means side adjacent to the angle.
So, [tex] tan M= \frac{KL}{KM} = \frac{15}{8} [/tex]
Hence, Value of [tex] tan M = \frac{15}{8} [/tex] .
Option D is the correct solution.
Four polynomials are shown below: A. 4 − 7x5 + x2 B. 5x3 + 5 − 3x4 C. 3x + 2x4 − x2 + 6 D. 3x3 − 5 + 2x5 + x Which of the above polynomials is a 4th degree trinomial? Polynomial A Polynomial B Polynomial C Polynomial D
Answer:
Polynomial B
Step-by-step explanation:
We are given 4 different polynomial. We need to choose 4th degree polynomial from given.
Degree is maximum power of x of polynomial.
Option A: [tex]4-7x^5+x^2[/tex]
Degree = 5, False
Number of term = 3 (Trinomial)
Option B: [tex]5x^3+5-3x^4[/tex]
Degree = 4
Number of term = 3 (Trinomial)
True
Option C: [tex]3x+2x^4+x^2+6[/tex]
Degree = 4
Number of term = 4 (Not Trinomial)
False
Option D: [tex]3x^3-5+2x^5[/tex]
Degree = 5
Number of term = 3 (Trinomial)
False
Hence, Polynomial B is correct whose degree 4 and number of term 3.
Jason draws an angle and then places the compass on the vertex and draws arc that intersects both rays. He then places the compass on each intersecting mark on each ray and draws arcs that intersect inside the angle. Which construction is he creating?
A. copying an angle
B. angle bisector
C. perpendicular bisector
D. perpendicular line through vertex of angle
Assume a team plays 6 games. If the team is equally likely to win as to lose each game, what is the probability that they win a string of at least 4 games in a row? I found my sample size to be 2^6=64 and I've tried listing out all the sequences, what I found was. W W W W W W ; W W W W W L ; W W W W L L ; L W W W W L ; L W W W W W ; L L W W W W,
Answer:
I THINK A
Step-by-step explanation:
PLEASE HELP ASAP! BRAINLIEST FOR RIGHT/BEST ANSWER!
Find an equivalent function for the following:
f(x) = 3(2)4x
Which coordinate Gird shows the correct locations of P (1,2.5) Point Q which is a reflection Of point P across the Y-axis And R (2.-2.5)
The probability that it'll rain tomorrow in Ohio is 30%
The probability that it'll rain tomorrow in both Ohio and Alaska is 12%
If it rains tomorrow in Ohio what is the probability that it will rain tomorrow in Alaska?
helpppppppppppppppppppppppppppp
Consider the functions f(x) = (4/5)^x and g(x) = (4/5)^x + 6. What are the ranges of the two functions?
f(x): {y| y > _____}
g(x): {y| y > _____}
(Fill in the blank with the correct answer)
The range of f(x) = (4/5)^x is {y| y > 0}, and the range of g(x) = (4/5)^x + 6 is {y| y > 6}.
Explanation:The range of a function refers to the set of all possible output values of the function. To determine the range of f(x) = (4/5)^x, we need to consider that any positive real number raised to any power will yield a positive result. Therefore, the range of f(x) is {y | y > 0}.
For g(x) = (4/5)^x + 6, we can see that adding a constant term of 6 to the function will shift the entire graph upwards by 6 units. Consequently, the range of g(x) is {y | y > 6}.
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can someone help me please? i'm not sure if 4 is right and i don't understand how to do 3
Experimental vs. Theoretical Probability:
John is about to roll a six-sided, fair number cube 60 times. He wants to predict how many times the cube will land on an even number. He makes a prediction of 20 times. Is it a good prediction? What would your prediction be based on theoretical probability?
Answer:
Guy above is correct
Step-by-step explanation:
A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks. At that point the patient is to maintain the distance walked during the 10th week. How far will the patient walk during the 10th week? a. Is the sequence arithmetic or geometric? Explain your answer.
The sequence in this scenario is arithmetic, with the patient increasing their distance walked by 3 km each week. Using the formula for the nth term of an arithmetic sequence, the patient will walk a distance of 32 km during the 10th week.
Explanation:The sequence in this case is arithmetic. This can be determined by observing that the difference between the distances walked each week is consistent. In this case, the difference is 3 km, as the patient increases their distance by 3 km each week.
To find out how far the patient will walk during the 10th week, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d
Where an is the nth term, a1 is the first term, n is the number of terms, and d is the common difference.
Given that the first term is 5 km, the common difference is 3 km, and we want to find the 10th term, we can substitute the values into the formula:
a10 = 5 + (10-1)3
a10 = 5 + 9 * 3
a10 = 5 + 27
a10 = 32
Therefore, the patient will walk a distance of 32 km during the 10th week.
Please help(:
Two planes intersect to ____ form a line
A. Always
B. Sometimes
C. Never.
D. Inconclusive.
Which of the following is true?
A. All quadrilaterals are polygons with two pairs of parallel sides.
B. All quadrilaterals are polygons with four sides.
C. All quadrilaterals are polygons with at least one pair of parallel sides.
D. All quadrilaterals are polygons with four sides at least one pair of parallel sides.
Answer:
1. Two planes intersect to ALWAYS form a line. If two planes intersect, they intersect in a line. The two planes that do not intersect, they form parallel lines.
2. The true statement is :
All quadrilaterals are polygons with four sides. A quadrilateral is a geometrical shape that has four sides and four angles. These are also called polygons. There are many types of quadrilaterals like - the parallelogram, the rectangle, the square, rhombus etc.
A square has an area of 256 square meters. How long is each side?
What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your answer to the nearest hundredth.
The area of the sector rounded to the nearest hundredth is [tex]$37.02 \, \text{mm}^2$[/tex].
To find the area of a sector, we use the formula:
[tex]\[ \text{Area of sector} = \frac{\text{Central angle}}{2\pi} \times \pi r^2 \][/tex]
Given that the central angle is [tex]\( \frac{2\pi}{9} \)[/tex] radians and the diameter (which is twice the radius) is [tex]$20.6 \, \text{mm}$[/tex], the radius is [tex]\( \frac{20.6 \, \text{mm}}{2} = 10.3 \, \text{mm} \)[/tex].
Now, substituting these values into the formula:
[tex]\[ \text{Area of sector} = \frac{\frac{2\pi}{9}}{2\pi} \times \pi (10.3)^2 \][/tex]
[tex]\[ = \frac{1}{9} \times \pi \times 10.3^2 \][/tex]
[tex]\[ = \frac{1}{9} \times 3.14 \times 106.09 \][/tex]
[tex]\[ = \frac{1}{9} \times 333.2086 \][/tex]
[tex]\[ \approx 37.02 \, \text{mm}^2 \][/tex]
Rounded to the nearest hundredth, the area of the sector is approximately [tex]$37.02 \, \text{mm}^2$[/tex].
Question 1. Evaluate 4 times a number q plus 25 when q=2
A. 27
B.31
C.33
D.42
Question 2. If p=8, evaluate 4 )2 / 9.3
A.2
B.3
C.6
D. 8
Question 3. If q=2, evaluate (24 + 18 .q) - (5q + 7)
A. 38
B. 79
C. 31
D. 21,
Which figure shows the correct dimensions of a 14 scale drawing of the given figure?
simplify the expression. write the answer using scientific notation 4(6.2x10^11)
You and your friend each drive 50.0 km. you travel at 90.0 km/h. your friend travels at 95 km/h. how long will your friend be waiting for you at the end of the trip?
Answer:
He will reach 0.02 hours before me.
Step-by-step explanation:
A we know that,
Speed = Distance ÷ Time
Here we have given that Distance = 50 km
My Speed is 90 km/h
So time taken to complete my trip = Distance ÷ Speed
⇒ My Time = 50 ÷ 90 = 0.55 hours
Also, Speed of my friend is 95 km/h
So time taken to him to complete his trip = Distance ÷ Speed
His Time = 50 ÷ 95 = 0.53 hours
Thus he will reached before me as his speed is fast
He will reach 0.55 - 0.53 = 0.02 hours before me.
Find the slope of the line that contains the points named.
X(2, -1), Y(0, 4)
5/2
2/5
-5/2
Jake runs either 15 kilometers or 8,500 meters each day.He alternates short and long runs. how many meters farther will he run on his two long run days than on his two short run days?Describe how you found your answer
guys i am so confused right now??
Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?
At summer camp, 150 kids had the opportunity to choose their activities. 1/3 of those kids selected archery for their morning activity. Of that group,1/5 also chose to study drama in the afternoons. How many kids chose both archery in the morning and drama in the afternoons? kids chose archery for their morning activity. Of those kids who chose archery in the mornings, also chose drama in the afternoons.
Answer:
50&10...
Step-by-step explanation: