What is the solution to the system of linear equations?
Answer:
C. (0, 2)
Step-by-step explanation:
The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.
Thus, the lines intercept at the point where when x = 0, y = 2.
Therefore, the solution = (0, 2).
If a person making $6.50 gets a $0.70 raise, what is the percent increase? Round to the nearest tenth of a percent.
Answer:
10.8% increase
Step-by-step explanation:
($0.70/$6.50) x 100 = 10.769% = 10.8%
A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.
Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.
No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
Given that,
A circular area that has a radius of 7 feet.The sprinkler is located at (0,0) on a lawn.A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Based on the above information, the calculation is as follows:
[tex]= \sqrt(3^2 + 6^2) \\\\= \sqrt45[/tex]
= 6.7m
Therefore the above statement should be considered true.
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Answer:
It should be D
Step-by-step explanation:
Find sin(a) in the triangle.
Answer:
D. 20/29
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, or [tex]sin(a) = \frac{opposite}{hypotenuse}[/tex]. The hypotenuse is the longest side of a right triangle.
In this case, the opposite side has length 20, and the hypotenuse has length 29. Therefore, the answer is
[tex]sin(a) = \frac{20}{29}[/tex].
To remember this (and the other trigonmetric ratios), you can use the acronym SOCAHTOA, where
SOH is sin(a) = opposite/hypotenuse
CAH is cos(a) = adjacent/hypotenuse
TOA is tan(a) = opposite/adjacent
Dan sold 40 concert tickets in 5 days. Each day he sold 3 tickets more than the previous day the number of tickets he sold on the third day is
A company that manufactures cell phones has been given a quarterly operating budget of $951,615.00. The company's quarterly
operating cost consists of two costs: an overhead fixed cost and the manufacturing cost of each cell phone. The company knows
that the overhead fixed cost per quarter is $225,378.00, and the cost to manufacture each cell phone is $58.90.
If the company's quarterly operating costs cannot exceed the quarterly budget, then what is the maximum number of cell phones
that they can manufacture during the quarter?
OA. 19,983
OB
8,504
C. 4,677
OD.
12,330
Answer: D. 12,330 phones
Step-by-step explanation:
First remove the fixed cost from the operating budget so that the variable cost that can be spent on each phone is known in total:
= 951,615 - 225,378
= $726,237
With each phone costing $58.90, the total number of phones that can be produced is therefore:
= Variable budget / Variable cost per phone
= 726,237 / 58.90
= 12,330 phones
Find the range of the following details
Find the surface area of the rectangular prism.
1yd
3 yd
5 yd
Answer:
Step-by-step explanation:
So first you going to multiply the 1 by the 5 yd then divide that 3 by how many blocks there are and then add your answer of 40
A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the surface area of the prism? 420 m 2 324 m 2 504 m 2 372 m 2
Answer:
420 m2
Step-by-step explanation:
Hope this helps
The surface area of the prism will be equal to 366 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
A triangular prism has a height of 9 meters and a triangular base with the following dimensionsThe surface area of the prism will be calculated as:-
Surface area = Sum of the area of all sides
There are three rectangle faces and two triangular faces in the triangular prism.
Surface area = 3 ( area of rectangle) + 2 (area of triangle)
Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]
Surface area = 270 + 96 = 366 square meter.
Therefore the surface area of the prism will be equal to 366 square meters.
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Find . =
Find lim x→5 f(x) if f(x) = {
Answer: -26
Step-by-step explanation:
edge 2021
Find the product.
(6a² + 4b) (a²- b)
On solving the provide question, we can say that - the quadratic equation [tex](6a^2 + 4b)(a^2 - b)[/tex] = -4
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
[tex](6a^2 + 4b)(a^2 - b)[/tex]
a = 0 and b = 1
-4
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l need help!! please
Use the graph to complete the sentences about two runners.
Runner____is faster than Runner____.
Runner____has a head start.
Answer:
1.Runner A is faster than Runner B.
2.Runner B has a head start.
Step-by-step explanation:
1. Runner A is at a further position (has a higher y), when both A and B have the same X(time)
2.At an X of 0(start) B has a further position (higher X)
I hope this helps you :)! Have a nice day.
Help please I’ll give extra points
Answer:
56
Step-by-step explanation:
180-124 ....................
A television weather forecaster reported
that temperatures the previous night had
stayed between -6 °F and 2 ºf Which
of the following might have been the
temperature the previous night?
A -7 °F
B -3 °F
C 3 °F
D 9 °F
Which equation is part of the same fact family as 5 x 4 =20?
HELP ASAP !!!!!!!!!!!
Triangle ABC has side lengths AB = 3, BC = 4 and CA = 5, and angle measures ∠A = 53, ∠B = 90, and ∠C = 37. Triangle DEF has side lengths DE = 9, EF = 12and FD = 15, and angle measures ∠D = 53, ∠E = 90, and ∠F = 37. Is △ABC similar to △DEF? Explain.
Step-by-step explanation:
yes, the two triangles are right angled triangles
how fast are you going if you fly 1500 kilometers in just 2 hours?
Please help me please
Which expression is equivalent to log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?
Express properly
So, we have the following representation
log₁₂(x⁴√x³) - 2(x+1)⁵
Evaluate the exponent
log₁₂(√x¹¹) - 2(x+1)⁵
Apply the power rule of logarithm
This gives
11/2log₁₂(x) - 2(x+1)⁵
Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵
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Help me please?!?!? Giving brainly!
21, 19, 25, 23
Step-by-step explanation:
I hope this helps!
Answer: it's the third answer
Step-by-step explanation: + 6 then -2Mr. Tompkins rode a bus that averaged 30 mph from his home to the airport, and
flew to another city at 250 mph. If his total trip was 670 miles and it took him four
hours of traveling time, how many miles does he live from the airport?
Therefore, Mr. Tompkins lives 240 miles from the airport.
Define acceleration.Acceleration is the rate of change of velocity of an object. It is a vector quantity that has both magnitude and direction. Mathematically, it is the derivative of velocity with respect to time. In simpler terms, it is the change in speed or direction of an object over time.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position. It has both magnitude and direction. The magnitude of velocity is the speed of an object, which is the distance covered per unit of time.
We can start solving the problem by using the formula: distance = speed x time.
Let x be the distance from Mr. Tompkins' home to the airport in miles.
Therefore, the distance from the airport to the other city is (670 - x) miles
we know that the total traveling time is 4 hours
so we can set up two equations:
x/30 + (670 - x)/250 = 4
x + (670 - x)/8 = 120
we can solve for x
x = 240 miles
Therefore, Mr. Tompkins lives 240 miles from the airport.
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GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION HELP NOW
Answer:
x = 250°
Step-by-step explanation:
"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"
From the figure attached,
Angle between the chord and the tangent = 55°
Measure of intercepted arc (minor arc AB) = h°
Therefore, 55° = [tex]\frac{1}{2}(h)[/tex]
[tex]h=110^0[/tex]
And m(minor arc AB) + m(major arc AB) = 360°
h° + x° = 360°
110° + x° = 360°
x° = 360° - 110°°
x = 250°
Therefore, measure of the intercepted arc is 250°.
"what is the median of the following values 9,9,2,8,11,6,4"
Answer: 8
Step-by-step explanation:
Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:
2, 4, 6, 8, 9, 9, 11
The number eight appears to be in the very middle, therefore it is the median.
i will give Brainiest if you are right
Answer:
D. $69,160
Step-by-step explanation:
40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Answer:
120
Step-by-step explanation:
6 x 20 = 120
1. Jason made 3 quarts of corn chowder. He divided it into serving sizes of 1 12 cups each. How many 1 12 -cup servings can be made from 3 quarts of chowder? A. 4 12 servings B. 8 servings C. 12 servings D. 18 servings
Answer:
B. 8 servings
Step-by-step explanation:
1 quart = 4 cups
3x4=12
3 quarts of clam chowder = 12 cups of chowder
1 1/2 cups each
12 divided by 1 1/2 = 12 divided by 3/2 = 12 divided by 2/3 = 8 servings
Solve
3x 2 2x 5 1 x
—— —— ——
4 3 6
Answer:
6x/4×10x/3× x/6
5x^3/6
As part of a study on pulse rates, a random sample of 10 study participants had their pulse rate taken and asked to sit quietly for 5 minutes. At the end of 5 minutes, their pulse rates were taken again. The mean difference between the two pulse rates for the 10 participants is -1.2 beats per minute with standard deviation of 2.97. Researchers are interested in estimating the mean difference in pulse rates before and after the 5 minute waiting period for the population of study participants. Calculate the 90% confidence interval for the mean difference in pulse rates for the population of study participants. Use t*
Answer:
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute
The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Find the volume of the rectangular prism.
Answer:
1 1/2*3 1/2*5= 5 cm^3