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To find the length of each side of the triangle, we can use the formula for the perimeter of a rectangle: perimeter = 2 * (width + length). In this case, the perimeter of the rectangle is 2 * (5cm + 16cm) = 42 cm. Since each side of the triangle has the same length, and the perimeter of the triangle is equal to the perimeter of the rectangle, the length of each side of the triangle is 42cm / 3 = 14 cm.
Therefore, the length of each side of the triangle is 14 cm.
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how to get the area of the base ?
Answer:
LxWxH
Step-by-step explanation:
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Solve:
|x-7|<-1.
zero solutions
one solution
infinite solutions
all real numbers
Step-by-step explanation:
In mathematics, the absolute value |x|, is the non-negative result of x without regard to its sign.
An absolute function, can never have a negative result.
By this alone, you can solve the question because the inequality is false, and therefore there are zero solutions.
Please see the attachment of f(x) = |x - 7|.
When you look at the graph, you can easily confirm that there is no value which can result in a negative y- coordinate like -2. In fact, that is the whole purpose of any absolute value or function. The result of an absolute function can never be negative.
A researcher wanted to see if different breeds of dogs preferred toys of certain colors. The researcher presented each dog with 3 toys, identical except that each was a different color, and recorded which toy the dog played with the most in a set time period. Here are the outcomes and partial results of a chi-square test (expected counts appear below observed counts):
The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.
How to illustrate the research?From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.
The degree of freedom will be:
= (3 - 1) × (3 - 1)
= 4
The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.
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Answer:
Step-by-step explanation:
From Khan
What base could be written in the blank to make the exponential function model 15% decay? y=(_)t1/2
The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)
To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.
The general formula for exponential decay is given by:
y = A(1 - r)^t
Where:
y represents the final amount or value after time t.
A is the initial amount or value.
r is the decay rate (expressed as a decimal).
t is the time.
In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:
y = A(1 - 0.15)^t
Simplifying further:
y = A(0.85)^t
Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.
Therefore, the exponential function that models a 15% decay is:
y = (0.85)^t^(1/2)
This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.
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can anyone help me with this click to see
Answer:
-3,-5,-6,-10
Step-by-step explanation:
Answer:
-3 -5 -6 -10
Step-by-step explanation:
One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next
week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold
5 7 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and
violin
a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $40/ft and on the other three sides by a metal fence costing $20/ft. if the area of the garden is 142 square feet, find the dimensions of the garden that minimize the cost.
The dimensions of the rectangular garden which minimize the cost is equal to 9.6ft and 14.6ft respectively.
As given in the question,
Cost of brick wall is equal to $40/ft
Cost of metal fencing is equal to $20/ft
Let 'x' and 'y' are the dimensions of the rectangular garden
Area of the rectangular garden = 142 square feet
⇒ 142 = xy
⇒x = 142/y
Costing of four side fencing 'C' = 40x + 20x + 20y + 20y
⇒ C = 60x + 40y
⇒C = 60(142/y) + 40y
⇒C = 8520/y + 40y
Differentiate with respect to y
dC/dy = -8520/ y² + 40
Put dC/dy = 0
-8520/ y² + 40 = 0
⇒y² = 8520/40
⇒y = √213
⇒ y= 14.6 ft
⇒ x= 142/14.6
= 9.7 ft
Therefore, the dimensions of the rectangular garden with the given area which minimize the cost is equal to 14.6ft and 9.7ft.
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I need this answered quick. What sum is represented by the following number line?
Answer:
2\(\frac{3}{4} + -4\frac{1}{4} = -1\frac{2}{4}\)
Step-by-step explanation:
The initial position of the blue line is 2 and 3/4. The final position (represented by the red line) is -1 and 1/2. 2 and 3/4 - 4 and 1/4 is the only thing you can subtract to get -1 and 2/4.
Answer:
2 3/4 +(-3 1/4)= -1 2/4
Step-by-step explanation:
hope you get it right
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Which graph represents this equation? y = 3 2 x 2 − 6 x A. The graph shows an upward parabola with vertex (3, minus 4.5) and passes through (minus 1, 3.5), (0, 0), (6, 0), and (7, 3.5) B. The graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7) C. The graph shows an upward parabola with vertex (minus 3, minus 4.5) and passes through (minus 7, 3.5), (minus 6, 0), (0, 0), and (1, 3.5) D. The graph shows an upward parabola with vertex (minus 2, minus 6) and passes through (minus 5, 7), (minus 4, 0), (0, 0), and (1, 7)
The graph that represents the equation is:
The graph shows an upward parabola with vertex (2, -6) and passes through (-1, 7), (0, 0), (4, 0), and (5, 7).
Option B is the correct answer.
We have,
The equation y = (3/2)x² - 6x represents an upward parabola since the coefficient of x² is positive.
Now,
The vertex of the parabola.
x = -b/2a,
where a and b are the coefficients of x² and x, respectively.
So,
a = 3/2 and b = -6
x = -(-6)/(2(3/2)) = 6/3 = 2.
Plugging x = 2 into the equation,
We get y = 3/2(2)² - 6(2) = -6,
so the vertex is (2, -6).
We can eliminate options A and C since their vertices are not (2, -6).
Now,
To check which of the remaining options fits the equation, we can plug in the given points and see if they satisfy the equation.
Option B gives:
When x = -1, y = 3/2(-1)² - 6(-1) = 7
When x = 0, y = 3/2(0)² - 6(0) = 0
When x = 4, y = 3/2(4)² - 6(4) = 0
When x = 5, y = 3/2(5)² - 6(5) = 7.5
So option B fits the equation, and is the graph that represents
y = (3/2)x² - 6x.
Therefore,
The graph that represents the equation is:
The graph shows an upward parabola with vertex (2, -6) and passes through (-1, 7), (0, 0), (4, 0), and (5, 7).
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Find the volume of the cylinder. Round your answer to the nearest hundredth of a cubic meter.
Answer:
I think that the answer may be volume = 169.65
Step-by-step explanation:
The volume of cylinder whose radius 3m and height 6m is 169.56 cm³ ≈ 170 cm³
What is Volume of Cylinder?The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder’s volume is given by the formula, π\(r^2h\), where r is the radius of the circular base and h is the height of the cylinder.
Here, Radius of Cylinder = 3 m.
Height of Cylinder = 6 m.
Volume of Cylinder = πr²h
= 3.14 X 3 X 3 X 6
= 169.56 cm³
≈ 170 cm³
Thus, the volume of cylinder whose radius 3m and height 6m is 169.56 cm³ ≈ 170 cm³.
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Need help pls due tmr!!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its D since its d bc honestly i just need points but its D
Based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number.
PLEASE ANSWER!!!
The number of students that bike to school is 18
How to determine the valueThe median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.
We should also know that the median is one of the measures of central tendency.
From the information given, we have that the data set representing the number of students is;
10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Then, we have that the median number is;
Median = 17 + 18/2
add the values
Median = 35/2
Divide the values
Median = 18 students
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Which inequality represents the graph below?
Answer:
y=-2/3x+3
Step-by-step explanation:
because -2/3 is the slope, y int 3
PLEASE HURRY IM BEGGING
The sum of three consecutive intgers is 72 find the smallest integer
Step-by-step explanation: 23 is the answer
23+24+25=72
What is the volume?
12ft
15ft
7ft
Answer:
1260
Step-by-step explanation:
Your friend says that it is impossible for the circumcenter of a triangle to
lie outside the triangle. Is your friend correct? Explain your reasoning.
Answer:
no because he is STUPlD
Step-by-step explanation:
Answer: No, your friend isn't correct.
Step-by-step explanation: The circumcenter can lie outside triangle if it is obtuse or a right triangle.
find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84
Answer: 0.4337
Step-by-step explanation:
Let X represents the test results for a class that follow a normal distribution .
Given: Mean \(\mu=78\), Standard deviation \(\sigma=36\)
Then, the probability that it is greater than 84 will be
\(P(X>84)=P(\dfrac{X-\mu}{\sigma}>\dfrac{84-78}{36})\\\\=P(Z>0.167)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.167)\\\\=1-0.5663=0.4337\ [\text{By p-value table}]\)
Hence, the required probability = 0.4337
What is the magnitude (size) of 3.7
No links please…. NEED HELP!!!
Complete the table for each equation and graph.how do you solve step by step 5y=2x-10?
Explanation:
Given the function:
5y = 2x - 10
Choose points for x, such as -2, -1, 0, 1, and 2
Solve for the corresponding of each point of x for y
For x = -2
5y = 2(-2) - 10
5y = -4 - 10
5y = -14
y = -14/5 = -2.8
For x = -1
5y = 2(-1) - 10
5y = -2 - 10
5y = -12
y = -12/5 = -2.4
For x = 0
5y = 2(0) - 10
5y = 0 - 10
5y = -10
y = -10/5 = -2
For x = 1
5y = 2(1) - 10
5y = 2 - 10
5y = -8
y = -8/5 = -1.6
For x = 2
5y = 2(2) - 10
5y = 4 - 10
5y = -6
y = -6/5 = -1.2
Inputs (x): -2, -1, 0, 1, 2
Outputs (y): -2.8, -2.4, -2.0, -1.6, -1.2
The graph of this equation is shown below:
In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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What is the largest six digit number
you can make that has a 1 in the
thousands place?
Answer:
dwjoqwejo;fjoqfjop
Step-by-step explanation:
Ryu went shopping for new headphones he found a pair he wanted for $50.00. He found a discount code for 35%. How much did ryu save with this discount code
pls hurry I need this ASAP
will give first CORRECT answer brianliest
btw This is the TGA
What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
Solve for x.
A. 2ft
B. 3ft
C. 4ft
D. 6ft
\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:
Step-by-step explanation:
Janae is at a carnival. She won 420 tickets. She rides two rides for 75 tickets each and attends a concert for 180 tickets. If she can exchange 10 tickets for one prize, how many prizes can she get with her tickets
Answer:
9 Prizes
Step-by-step explanation:
She begins with 420 tickets.
She goes on 2 rides for 75 tickets each so 420-75-75= 270
She then attends the concert for 180 tickets so 270-180= 90
Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9
9 PRIZES