Answer:
I'm sorry i dont think i understand what do u need help with
Step-by-step explanation:
the area of a rectangle is 78 square meters. The length of the rectangle is one more than twice the width. What are the dimensions of the rectangle?
NO FILES PLEASE
[tex]area \: = 78[/tex]
[tex]area = length \: \times \: width[/tex]
[tex]78 = (x)(2x + 1)[/tex]
[tex]x = 6[/tex]
Thus the dimensions are 6 & 13
Answer:
6&13.All you need to do is find the factors of 78 and plug the smaller number into the equation provided in the equation. 2x+1 is our equation. so6*13 is 78 and 2x+1=13... 6for x to get 2*6+1=13
Step-by-step explanation:
the rectangle below initially has dimensions of 10 inches and 14 inches as shown. after both dimensions have been increased by a length of x, the total area of the resulting rectangle is 320 square inches. algebraically determine the value of x.
The value of x determined algebraically given the total area of the rectangle is 1.5 inches
How to find area of a rectangleInitial dimensions:
Length = 14 inches
Width = 10 inches
New dimensions:
Length = 14 + x
Width = 10 + x
Area = 320 square inches
Area of a rectangle = Length × Width
320 = (14 + x) × (10 + x)
320 = 14x × 10x
320 = 140x²
x² = 320/140
x² = 2.28571428571428
x = √2.28571428571428
x = 1.511857892036908908858066144936720243
Approximately,
x = 1.5
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A point located at (5, 3) is translated down 4 units and right 2 units. What are the coordinates of the image?
(9, 5)
(1, 5)
(7, -1)
(3, 7)
Answer:
(7, -1)
Step-by-step explanation:
Let's remember our key words:
Down/up means to translate the y axis.
Right/left means to translate the x axis.
Now that we know what to do, let's look at our equation.
----------------------------------------------------------------------------------------------------------
A point located at (5, 3) is translated down 4 units and right 2 units.
Let's work on the x axis first.
It says that you are translating to the right. That means your value is going higher, so you go to the right 2. 5+2=7
So now that we have our x, (7), let's rewrite our equation. (7, 3)
----------------------------------------------------------------------------------------------------------
Next, let's do y.
The points are translating down. That means our value will lessen.
Since we are going down on our y axis by 4, we will subtract our current y coordinate with 4. 3-4=-1.
Now we know our y, so let's rewrite our equation with our new y. (7, -1).
----------------------------------------------------------------------------------------------------------
Our final coordinates are (7, -1).
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Evaluate 4a when a = 7.
The value is
Answer:
28
Step-by-step explanation:
a is equal to 7,
so where there is 'a' you replace
with 7
4(7)=7×4=
28
find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = undefined
The tangent is undefined for angles that are odd multiples of 90°. The angle between the vectors is 90°.
The following table gives the partial results from a company sampling their employees to see how many years they had worked for the company. The data for both samples was right-skewed.
Department Quality assurance Service
Mean (years) 4.2 2.6
Standard deviation (years) 1.1 1.7
The company wants to use these results in a two-sample t test to see whether there is a significant difference between lengths of time for employees in the quality assurance and service departments.
Which of the following are conditions for this type of test?
Choose all answers that apply:
A. The samples represent no more than 10% percent of the employees in each department.
B. The sample includes equal numbers of employees from each department.
C. The sample includes at least 30 employees from each department.
Using the Central Limit Theorem, it is found that the condition that applies to this test is:
C. The sample includes at least 30 employees from each department.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
From this, since we have a skewed variable, it is found that a sample size of at least 30 is needed, hence option C is correct.
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3w-v4w3 I just need the answer please
Answer:
7(3/bc)c
Step-by-step explanation:
3/bc+c+7
(3/bc)c+7
7(3/bc)c
Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?
Answer:
120
Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches
Answer:
Step-by-step explanation:
I’m trying to find the absolute Max and min, I can’t figure out how to do the derivative, thanks
Step-by-step explanation:
Step 1: Take the First Derivative This means only differentiate once.
Disclaimer: Since absolute value only take positve outputs and quadratics only take positve outputs, we can get rid of the absolute value signs so we now have
[tex]e {}^{ {x}^{2} - 1 } [/tex]
We have the function x^2-1 composed into the function e^x.
So we use chain rule
Which states the derivative of a function composed is the
derivative of the main function times the derivative of the inside function.
So the derivative of the main function is
[tex] \frac{d}{dx} (e {}^{x} ) = e {}^{x} [/tex]
Then we replace x with x^2-1
[tex]e {}^{ {x}^{2} - 1} [/tex]
Then we take the derivative of the second function which is 2x so qe multiply them
[tex]e { }^{ {x}^{2} - 1 } 2x[/tex]
Step 2: Set the equation equal to zero.
[tex]e {}^{x {}^{2} - 1} 2x = 0[/tex]
Since e doesn't reach zero. We can just set 2x=0.
[tex]2x = 0 = x = 0[/tex]
So the critical point is 0.
Since e^x will never reach zero
Since 0 is the only critical point, this where the max or min will occur at.
Next we pick any numbergreater than zero, and plug them in the derivative function which gives us a positve number.
Any pick less than zero will give us a negative number.
Since the function is decreasing then increasing, we have a minimum.
Since 0 is the only critical point, we have a absolute minimum at 0.
To find the y coordinate, plug 0 in the orginal function.
Which gives us
[tex]e {}^{ {0}^{2} - 1 } = e {}^{ - 1} = \frac{1}{e} [/tex]
So the minimum occurs at
(0,1/e).
A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team?
A. 4,760
B.2,240
C. 47,600
D. 5,512
Answer:
the answer is; 68% of 7000 which gives 4760 football fans rooting for the home team
If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
The value of x in the direct and indirect varoation is calculated as: x = 2.
What is Direct and Indirect Variation?If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.
With the information stated, we would have the following:
z = kx/y³
Find k, by plugging in the values of x, y, and z:
12 = k(8/2³)
12 = k(8/8)
12 = k
k = 12
Find x when y = 1 and z = 24:
24 = 12(x)/1³
24 = 12x
24/12 = x
x = 2.
Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.
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James asked 50 pupils which drink they liked best from cola, milk and water.
23 boys were included in the survey.
11 of the boys said that cola was their favourite.
3 boys liked water best and 7 girls liked water best.
22 pupils altogether said that milk was their preferred drink.
How many pupils altogether said that cola was their favourite drink?
Answer:
18 pupils
Step-by-step explanation:
11 like cola
32 like other stuff
11+32=43 - 50-43=7
therefore 11+7=18
18 students like cola the best
Adisa has $195.00. He wants to buy as many calculators as possible. Each calculator costs $6.50. Part A Create an equation that can be used to determine the number of calculators, C, Adisa can buy. Drag and drop the options to the empty boxes to create your equation. A ? = 6.50 С + 195.00 Part B How many calculators can Adisa buy? Enter your answer in the box.
Answer:
Step-by-step explanation:
Equation
Part A
# Calculators = Total amount / Cost of 1 calculator
Givens
# Calculators = ?
Total amount of money = 195 dollars
Cost of one calculator = 6.50
Solution
# Calculators = 195/6.50
# Calculators = 30
Answer: He can buy 30 calculators.
The mean on a statewide biology test was 76 with a standard deviation of 11. Harris county sampled the scores of some of its students and reported a mean of 80 with a margin of error of ± 2.3.
What is the range of reasonable means for Harris County's sample?
Range: ____ to ____
The margin of error would tell how many percentage differs from Harris County's sample
The range of reasonable means for Harris County's sample is 77.7 to 82.3
How to determine the range?The given parameters are:
Population mean, [tex]\mu = 76[/tex]Population standard deviation, [tex]\sigma = 11[/tex]Sample mean, [tex]\bar x = 80[/tex]Margin of error , [tex]E = 2.3[/tex]The range (R) is calculated as:
[tex]R = \bar x \pm E[/tex]
Substitute known values
[tex]R = 80 \pm 2.3[/tex]
Expand
[tex]R = (80 - 2.3,80 + 2.3)[/tex]
Evaluate the difference and sum
[tex]R = (77.7,82.3)[/tex]
Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3
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Your company offers three cell phone plans. The details are below:
Plan A allows 450 minutes for $39.99 with .25/minute for each minute over 450.
Plan B allows 900 minutes for $59.99 with .30/minute for each minute over 900.
Plan C allows 1500 minutes for $99.99 with .35/minute for each minute over 1500.
Write a report detailing the following:
An equation or inequality to represent each plan above.
Determine for how many minutes each plan is the best option for two customers. Customer Smith uses roughly 750 minutes per month. Customer Jones uses roughly 1350 minutes per month. Which plan should they choose and why?
Include a detailed explanation of your work, which scenario is better, and why.
Write a summary paragraph for your employees that will be answering and making phone calls.
Answer:
Smith should use 900 minute plan and Jones should use 1500 minute plan
Step-by-step explanation:
There are best answers
1. Equations/Inequalities for Each Plan:
Plan A: Cost = $39.99 + 0.25 * (m - 450), m ≤ 450
Plan B: Cost = $59.99 + 0.30 * (m - 900), m ≤ 900
Plan C: Cost = $99.99 + 0.35 * (m - 1500), m ≤ 1500
2. Best Plan for Customers:
Customer Smith (750 min): Plan B ($59.99)
Customer Jones (1350 min): Plan C ($84.99)
3. For both customers, Plan B offers the best value for 750 minutes, while Plan C is optimal for 1350 minutes due to its lower cost per minute overages.
4. Plan A is the least cost-effective for both. The chosen plans reflect the importance of base minutes and overage charges.
1. Equations/Inequalities for Each Plan:
Let's denote the number of minutes used as "m."
Plan A:
Cost: $39.99 for 450 minutes, then $0.25/minute for each additional minute.
Equation: Cost = $39.99 + 0.25 * (m - 450), if m > 450
Inequality: m ≤ 450
Plan B:
Cost: $59.99 for 900 minutes, then $0.30/minute for each additional minute.
Equation: Cost = $59.99 + 0.30 * (m - 900), if m > 900
Inequality: m ≤ 900
Plan C:
Cost: $99.99 for 1500 minutes, then $0.35/minute for each additional minute.
Equation: Cost = $99.99 + 0.35 * (m - 1500), if m > 1500
Inequality: m ≤ 1500
2. Determine the Best Plan for Customers:
Let's evaluate the cost for both customers using the given plans:
Customer Smith:
Usage: 750 minutes
Plan A: Cost = $39.99 + 0.25 * (750 - 450) = $112.49
Plan B: Cost = $59.99
Plan C: Cost = $99.99
Best Plan: Plan B ($59.99)
Customer Jones:
Usage: 1350 minutes
Plan A: Cost = $39.99 + 0.25 * (1350 - 450) = $297.49
Plan B: Cost = $59.99 + 0.30 * (1350 - 900) = $374.99
Plan C: Cost = $99.99 + 0.35 * (1350 - 1500) = $84.99
Best Plan: Plan C ($84.99)
3. Explanation and Recommendation:
Customer Smith's usage of roughly 750 minutes falls within the range of Plan B's base minutes (900) and is more cost-effective with Plan B. However, for Customer Jones, who uses around 1350 minutes, Plan C offers a lower overall cost due to its higher base minutes (1500). Plan A is the least cost-effective option for both customers due to its lower base minutes and higher per-minute charges.
4. Summary for Employees:
Dear Team,
When assisting customers with choosing a cell phone plan, please consider the following options:
Plan A: $39.99 for 450 minutes, then $0.25/minute.
Plan B: $59.99 for 900 minutes, then $0.30/minute.
Plan C: $99.99 for 1500 minutes, then $0.35/minute.
For customers using around 750 minutes per month, recommend Plan B for its competitive pricing. For customers using around 1350 minutes, advise them to opt for Plan C to optimize cost efficiency. Always ensure to guide customers toward the most suitable plan based on their usage patterns.
Thank you for your dedication to excellent customer service.
Sincerely,
[Your Name]
[Your Position]
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Find the total surface area of the figure below.
Answer:
37.5 sq.cm⠀
Step-by-step explanation:
⠀
We know,
[tex] {\longrightarrow \qquad \boldsymbol{\pmb{Total \: \: surface \: \: area_{(cube)} = 6a {}^{2} }}}[/tex]
⠀
Where,
a is the side length of the cube. Here, a = 2.5 cm⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times( 2.5) {}^{2} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times6.25 }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Total \: \: surface \: \: area_{(cube)} = \it 37.5 }}}[/tex]
⠀
Therefore,
Total surface area of the cube is 37.5 cm²Answer:
37.5 cm²
Step-by-step explanation:
Given:-
Side of cube :- 2.5cmTo find:-
Total Surface AreaSolution:-
Total surface area of cube :- 6a²
6(2.5)² sq. cm
37.5 cm²
evaluate f ( - 5 ) =
Answer: −5
Step-by-step explanation:
simplify: (−5)
Re-order terms so constants are on the left:
(−5)f(−5)−5
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: first one is y=9x+5
second on is 4x-3y=-2
Step-by-step explanation:
What is the domain of this graph?
Answer:
x > 2
Step-by-step explanation:
The graph starts at x = 2
The graph goes up and to the right so x can't be less than 2.
(01.02 LC)Simplify 5 − (−1). 6 −6 4 −4
Answer:
=57
Step-by-step explanation:
Multiply and divide left to right
then add and subtract left to right
Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?
A. 8 h
B. 10 h
C. 18 h
D. 20h
360 degrees / 24 hours = 15 degrees per hour
150 degrees / 15 degrees per hour = 10 hours
Answer: 10 hours
Which is the graph of 4x – 3y = 12?
Answer:
it is the last graph
Step-by-step explanation:
Find the domain of the function f(x) 4 x - 7.
Answer: The domain of this function is any real number. More mathematically it is put as
-∞ < x <+∞
Answer:
The domain of this function is any real number. More mathematically it is put as
-∞ < x <+∞
Step-by-step explanation:
Width:____feet
Height_____feet
Step-by-step explanation:
Let w = width and h = height. Then we have
w = 3*h - 17
and
4*w + h = 30 (4 shelves and 1 sides).
Plug in the first equation into the second and solve for h:
4*(3*h - 12) + h = 30
12*h - 48 + h = 30
13*h = 78
h = 78/13
h = 6
Plug that in the first equation to find w = 3*6 - 17 = 1
So width = 1 feet.
height = 6 feet
PLEASE help me. Please, I beg you.
How does the Vietnam War influence policies and decisions made in the United States today? Justify your response.
This is the war between the communist governmrnt of Vietnam North and the South Vietnam. The United States of America were the main ally of the Vietnam south during the war.
The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.
The influence of the Vietnam war in United States today
1. End of the drafts
The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.
2. Granting 18 years old the right to vote
26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.
3. It is easier getting into a war than getting out of a war
Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait
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5h-2g=26
2h + 2g 2
find h and g
Answer:
g = -3, h = 4.
Step-by-step explanation:
5h - 2g = 26
2h + 2g = 2 Adding the 2 equations:
7h = 28
h = 4.
Substituting for h in the first equation:
5(4) - 2g = 26
-2g = 26 -20 = 6
g = -3.
I need help with this question please
[tex]v(y) = 0[/tex]
[tex] - 32t + 105 = 0[/tex]
[tex]t = \frac{ - 105}{ - 32} = 3.28[/tex]
[tex]h = - 16(3.28) {}^{2} + 105(3.28) + 17[/tex]
[tex]h = 189.26[/tex]
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the values of 9p5 ?
A: 45
B: 126
C: 3024
D: 15,120
Answer:
The correct answer is D:-15,120
[tex]^{n}P_{r}=\dfrac{n!}{(n-r)!}\\\\\implies ^{9}P_5 = \dfrac{9!}{(9-5)!} =\dfrac{9!}{4!} = 15120[/tex]
The answer is D.
Juan and Matthew each have gardens. Juan's garden is 16 feet long and 12 feet wide. Matthew's garden is 18 feet long and 21 feet wide. Area is found by multiplying length and width. What is the total area of the two gardens?
Answer:
570 ft²
Step-by-step explanation:
Basically, you find the area of Juan and Matthew's gardens then add them up.
First let's find the area of Juan's garden.
Area is equal to length times width ([tex]a = lw[/tex])
So you do 16 * 12 which equals 192.
Now let's find the area of Matthew's garden.
So you do 18 * 21 which equals 378.
Then you add up both areas.
192 + 378 = 570
Factorize the given expression below.
a. 6x power 2 - 3x
b) x power 2 + 3x - 28
c) 4qu + 24av - 5bu -30bv
please answer and make it clear thank you.
Step-by-step explanation:
a)[tex] \sf \: Factor 6x2−3x \\ \sf {6x}^{2} −3x \\ \sf \: =3x(2x−1) \\ \sf \: Answer:3x(2x−1) \\ [/tex]
b)Let's factor x²+3x−28
⇒x²+3x−28
⇒x² - 4x + 7x - 28
⇒(x² - 4x) + (7x - 28)
⇒x( x - 4) + 7(x - 4)
⇒(x -4) (x + 7)
Answer:
(x−4)(x+7)