Directions: Solve each of the following problems. Show your solution. (5 points each)
1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.
Answer:
400=(×+20)× is the equation or
400=×^2+20×
(×+10)= square root of 500
×+10=10 radical 5
final answer -10 + or - 10 radical 5=×
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)
are the linear expressions equivalent?
2x-3(1.3x-2.5)=5.9x+7.5
3-2(-2.6x+2.1)=5.2x-1.1
d
Answer:
not equivalent expressions
Step-by-step explanation:
Expand and simplify both expressions
2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis
= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms
= - 7.8x + 15
----------------------------------------
3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis
= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms
= - 2.3
Then the 2 expressions are not equivalent
Answer:
2x-3(1.3x-2.5)=5.9x+7.5
Equivalent Expression3-2(-2.6x+2.1)=5.2x-1.1
Not Equivalent ExpressionStep-by-step explanation:
Solving the first linear expression
2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0Thus, we can say that it's an equivalent expression.
Now Solving the second linear expression
3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1Thus, we can say that it's not an equivalent expression.
1.4×10−5 and 2.8×10−4
Answer:
1 : 9
2 : 24
Step-by-step explanation:
Answer:
9 < 24
Step-by-step explanation:
1.4 x 10 = 14
14 - 5 = 9
2.8 x 10 = 28
28 - 4 = 24
I am assuming this is an inequality.
Hope This Helps!
Which set of numbers shows one number that is about 20 times greater than the other number?
Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.
Evaluating each set of number :
1.)
[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]
2.)
[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]
3.)
[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]
4.)
[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]
Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D
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hey can someone please help me with this
Answer:
no
Step-by-step explanation:
PLS HURRY AND HELP
Jermaine has experience as a math tutor. He earns money by tutoring his neighbors' children. He gets $20 for each student he tutors. If Jermaine does 10 groups of 2 students in one month, how much will Jermaine earn?
Answer:
$400 per month
Step-by-step explanation:
20 - per student
10 groups of 2,
so 20 students
20 * 20 = 400
$400
Answer:
$400
Step-by-step explanation:
10 groups of 2 students so multiply 10 by 2 to get the total of how many students so if he gets $20 per student you will multiply the number of students by the rate which is $20 giving a total of $400
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
Evaluate the expression when a = -3 and c=4. a-3c
Answer:
Step-by-step explanation:
c=1/4(A-3c)
4c = A-3c
7c = A
c = A/7
20.
The total cost of 3 apples and 4 pears is £1.84
The total cost of 5 apples and 2 pears is £1.76
Work out the cost of one apple and the cost of one pear.
Answer:
an apple costs 0.24 and a pear costs 0.28
Step-by-step explanation:
3a + 4p = 1.84 3a + 4p = 1.84
-5a + 2p = 1.76 m(-2) -10a - 4p = -3.52
3a + 4p = 1.84
+ -10a - 4p = -3.52
-7a = -1.68
a = -1.68/-7
a = 0.24
3a + 4p = 1.84
3(0.24) + 4p = 1.84
0.72 + 4p = 1.84
4p = 1.84 - 0.72
4p = 1.12
p = 0.28
The cost of an apple is £0.24 and the cost of pear is £0.28
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let a represent the cost of one apple and p represent the cost of one pear.
Then the system of equation will be;
3a + 4p = 1.84
-5a + 2p = 1.76 m(-2)
-10a - 4p = -3.52
Solving both the equation;
-7a = -1.68
a = -1.68/-7
a = 0.24
For solving p;
3a + 4p = 1.84
3(0.24) + 4p = 1.84
0.72 + 4p = 1.84
4p = 1.84 - 0.72
4p = 1.12
p = 0.28
Hence, the cost of an apple is £0.24 and the cost of pear is £0.28
Learn more about equations here;
https://brainly.com/question/10413253
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find dy/dx using implicit differentiation
cos x + sin y = 1
Differentiate both sides with respect to x, using the chain rule for the sine term:
[tex]\cos(x) + \sin(y) = 1[/tex]
[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]
5(+25)=875
lets see who will get it right
Answer:
X = 150
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
X=150
Step-by-step explanation:
Based on what you've read, answer the following questions.
1. Laura bought a rectangular rug for her living room. It measures 9 feet long and 8 feet wide. What is the area of her rug?
2. One can of paint will cover an area of 400 square feet. Will one can of paint be enough to cover an exterior brick wall that is 48 feet long and 9 feet high?
3. Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property? (Hint: One acre = 43,560 square feet)
4. The Animal World Safari Park is a rectangular piece of land with an area of 323 square miles. The length of the park is 17 miles. What is its width?
5. Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
We will use the formula Area = length x width to answer the questions.
1. 9 x 8 = 72
2. 48 x 9 = 432, 432 > 400
3. 43560/484 = 90
4. 323/17 = 19
5. √49 = 7
Hope this helps!
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
2x - 5y = 10
That is my question help please
Answer:
answer is 27 trust me. I can't explain step by step so please trust ma ans is27
HURRY!!!!
A line with a slope of 5 passes through the points (4,5) and (5,u) What is the value of u?
Answer:
See Below
Step-by-step explanation:
Slope is rise over run.
Rise is the difference in the y values
Run is the difference in the x values.
Rise/Run = 5 (slope)
You have both x values 4 from one point and 5 from the other point so the difference is 1. The Run is equal to 1
So you now have Rise / 1 = 5
The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5. That means the other y value has to be either 10 or 0.
0 will not work because that would make the slope negative since the line would slope downward from left to right.
On this math problem please help me
Answer:
98.25 M/s
Step-by-step explanation:
The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.
Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical
z
-value to use,
z
c
, is: 1.960.)
( , )
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
which company offers the best deal?why?
Answer:
where question？
Step-by-step explanation:
i dont know the question it cant be solve
Answer:
I don't see the question. it cannot be solved
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
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Find the sin, cod, tan, sec, and cot of the following triangle with the given information.
Answer:
cos o sin
Step-by-step explanation:
What is the mean for the data shown in the line plot? please help fast!
a. 10
b. 6
c. 4
d. 5
Answer:
D. 5
Step-by-step explanation:
read each number from the plot. remember each x represents one number so there are 11 numbers. you divide it then it gives you 5
Answer: The answer is 6
Hopefully, this is correct!
In the community raffle, Niko bought 50 tickets. The contest stated that 200 tickets were sold. What is the probability that one of his tickets will not be drawn?
Evaluate 3215.
Enter your answer as a whole number
Answer:
3215
Step-by-step explanation:
There is no explanation
Go and increase you Intelligence
A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
how to expand (x+3)(x+4) into algebraic expression
Answer:
x²+7x+12
Step-by-step explanation:
x*x=x²
x*4=4x
3*x=3x
4x+3x=7x
3*4=12
=x²+7x+12=0
Answer: ^2 + 7 + 12
Step-by-step explanation:
(x + 4)(x + 4)
( + 4)+3( + 4)
( + 4)+3( + 4)
^2 + 4 + 3( + 4)
^2 + 4 + 3 + 12
^2 +7 +12
Juna travels 15 mph for 10 hours find the distance piles per hour
Answer:2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Step-by-step explanation:
Can y’all help me with this question
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
Giving right answer branleist
Answer:
12
Step-by-step explanation:
Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.
Select all of the number of ways in which a line
and a circle can intersect.
Answer:
0, 1, and 2
This is the answer