Answer:
[tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex] = [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]
Step-by-step explanation:
Step(i):-
Given expression
[tex]\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}[/tex]
= [tex]\frac{(x+3) }{(x^{2} +1)}[/tex]
Step(ii):-
= [tex]\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}[/tex]
1 3/4 as a fraction.
Answer:
7/4
Step-by-step explanation:
Answer:
The answer is 7/4, hope this helps you :)
John is 14 years older than Sam and the product of their ages is 240. How old is Sam?
A. 10 years old
B. 9 years old
C. 24 years old
D. 12 years
Answer:
A.) 10 years old
Step-by-step explanation:
Sam: John - 14
S = J - 14
S x J = 240
10 = J - 14
0 = J - 14 - 10
-J = -24
J = 24
10 x 24 = 240
How many leaves are 7 inches or longer
Answer:
You could pick as many as you like. Ideally you would use all the leaves on the tree, but that would be rather a large number to measure, and your parents might not be very happy if you stripped the tree bare!
So let's try 100 leaves.
How to get a random sample?
Here is one way you could get a random sample:
Try taking all the leaves on one branch of the tree. After you've discarded any that are broken, then see how many there are. If there are less than 100, then get the leaves from another branch until you have more than 100. Then write a different number (starting with 1) on each leaf with a marking pen.
Write the same numbers on small pieces of paper.
Fold the pieces of paper.
Put them into a hat and mix them up.
Draw 100 pieces of paper (without looking) from the hat. The first 100 pieces of paper you draw would give you the numbers of the leaves to use in the experiment.
The next thing you need to decide is how to measure the leaves, and
how accurate your measurements should be:
How to measure?
Keeping your leaves flat, use a ruler to measure the length of each leaf from the pointy part at one end of the leaf to the point where the leaf joins the stalk at the other end. Maybe your leaves bend a bit, but don't follow the main rib of the leaf as this would make measurement too difficult.
Just measure in a straight line as shown in the following diagram:
leaf
How accurate?
You should measure the length of each leaf to the nearest millimeter.
Now you're ready to begin.
Measure the length of each leaf to the nearest millimeter and record you results in a table, as follows:
Figure out the pattern, then fill in the missing number. 4, 20, 100, _______, 2,500
Answer:
500
Step-by-step explanation:
Muliplting by 5
4*5=20
20*5=100
100*5=500
500*5= 2500
Answer:
500
Step-by-step explanation:
Mutiplying every number by 5 to gove is the next number
What is the 11th term of the sequence 2, 8, 32, 128
A. 262,144
B. 524,288
C. 1,048,576
D. 2,097,152
Answer:
2,097,152Step-by-step explanation:
Given the sequence
2, 8, 32, 128..
The sequence is a geometric sequence. The nth term of the geometric sequence is expressed as;
Tn = arⁿ⁻¹
a is the first term
r is the common ratio
n is the number of terms
From the sequence;
a = 2
r = 8/2 = 32/8 = 4
n = 11 (since we are to find the 11th sequence)
Substitute into the formula;
T₁₁ = 2(4)¹¹⁻¹
T₁₁ = 2(4)¹⁰
T₁₁ = 2(1,048,576)
T₁₁ = 2,097,152
Hence the 11th term of the sequence is 2,097,152
Does the set of numbers form a Pythagorean triple? Explain.
24, 20, 32
Choose the correct answer below.
No, because the given numbers satisfy the equation a? + b2 = c?
Yes, because the given numbers satisfy the equation a? + b2 = c2.
Yes, because the given numbers do not satisfy the equation a? + b2 =c2.
No, because the given numbers do not satisfy the equation a² + b2 =c2.
Answer:
D. No, because the given numbers do not satisfy the equation a² + b² = c²
Step-by-step explanation:
For the set of numbers; 24, 20, 32, to form a pythagorean triple, they must satisfy the equation a² + b² = c².
Where, c is the longest side (hypotenuse), while a and b are the two other legs.
Let's find out.
a = 20, b = 24, c = 32
Plug in the value into the equation
20² + 24² = 32²
976 = 1,024 (this is not true).
976 is not equal to 1,024.
The set of given numbers does not form a pythagorean triple because it does not satisfy the equation a² + b² = c².
Your dinner check was $50. If you give the waiter a 20% tip, how much did you
spend in all? *
Answer:
$60 in total
Step-by-step explanation:
You find the amount to give for the tip first:
An easy way of doing percent's is getting 10% of a number. 10% of $50.00 you simply move the decimal to the left one time.
You would end up with $5.00 being 10% of $50.00.
Since you want 20% of $50.00 you would just simply multiply $5.00 (10% of $50.00) by 2. (2 * 10% = 20%).
This gives you $10.00.
By knowing 20% of $50.00 is $10.00 you then want to find the grand total you would have to spend in all so you add $10 to the $50 bill giving you a total of $60.00.
Answer:
60.00
Step-by-step explanation:
so you're doing 50.00 plus another 20% since you/re tipping the waiter which gives you a total of 60.00
which equation represents a line perpendicular to the line whose equation is y = - 3x +2
Answer:
y = 1/3x + 2
Step-by-step explanation:
Calculate the slope for perpedicular lines
-3 × -1 = 3, 3 ⁻¹ = 1/3
Add to equation
y = 1/3x + 2
Yana plans to run 1 mile she has run 7/10 of a mile what fraction of a mile does she have left to run
Answer:
3/10
Step-by-step explanation:
7+3= 10 so 7+3=10/10 which is one mile
HELP PLS ASAP I WILL GIVE BRAINLIEST
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
you have just administered 3 tablets with a dose strength of 1.5mg tablets. What is the total dosage?
Answer:
the total dosage is 4.5 mg of tablets
Step-by-step explanation:
can someone help me 10 points
The two angles form a right triangle which is 90 degrees.
Add the two to equal 90:
3x-8 + 4x = 90
simplify:
7x-8 = 90
Add 8 to both sides:
7x = 98
Divide both sides by 7:
x = 14
Anita left to go to the library at 12:46 pm. She arrived back home at 7:12pm which of the following is closest to the total time she was gone to the library (5 hours, 34 minutes) ( 7 hours,34 minutes) (6 hours,26 minutes) (19 hours , 58 minutes)
A principal of 1800$ is invested at 6.75% interest, compounded annually. How much will the investment be worth after 7 years? Use the calculator provided and round your answer to the nearest dollar.
Answer:
$2843 is the investment value after seven years
what is the slope of this equation y=7x+22
Answer:
the slope is +7
Step-by-step explanation:
m means slope in the formula y=mx+b
If the slope of a line is -5 and it passes through the origin, what is the equation that represents
that line?--|
Answer:
Y=x+-5
Step-by-step explanation:
The equation of line that passes through the slope -5 and through the origin is y=-5x.
Given that, the slope of a line is -5 and it passes through the origin.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Substitute m=-5 and (x, y)=(0, 0) in y=mx+c, we get
0=-5(0)+c
c=0
Put m=-5 and c=0 in y=mx+c, we get
y=-5x
Therefore, the equation of line that passes through the slope -5 and through the origin is y=-5x.
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A store has apples on sale for $7.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $28.00? Complete the explanation.
Answer:
Approx 24 apples.
Step-by-step explanation:
So, you have $28. 1st find out how much a lb. of apples cost. So divide 7/2 to get $3.50. A pound of apples cost $3.50. After that divide 16oz(1 lb) by 5 oz. to get 3.2. So you can get approx 3 apples for the price of $3.50. With $7 you get 6 apples. For 2 more pounds, that'd be 12 with only $14 spent. For another 2 that'd be 18 with $21 spent. For another 2 that'd be 24 with $28 spent.
Find x.
88°
142°
136°
105°
136°
xº
Can some plz answer this I can't figire it out 3(-3f-2)-f
9514 1404 393
Answer:
-10f -6
Step-by-step explanation:
Maybe you want to simplify the expression ...
3(-3f-2)-f
The distributive property is used to eliminate parentheses.
= 3(-3f) +3(-2) -f
= -9f -6 -f
Recognize like terms and group them together to make it easier.
= -9f -f -6
Combine the like terms.
= (-9 -1)f -6
= -10f -6
Which best describes the triangle
Answer:
Scalene
Step-by-step explanation:
It is not isosceles because an isosceles triangle needs to have at least 2 congruent sides
It is not equilateral because not all of the sides are the same length
It appears to be a right triangle, not an acute triangle
The answer is scalene because all sides are a different length
Hope this helps :-)
Hi The answer is scalene
Common factor of 17abc,and 51a2bc is
Answer:
17abc
Step-by-step explanation:
To find the greatest common factor between 17abc and 51a²bc, let's start by breaking down any composite number here into prime factors. 17 is prime, but 51 is composite; its prime factorization is 3 · 17. Now, let's fully expand each term:
[tex]17\cdot a\cdot b\cdot c\\3\cdot17\cdot a\cdot a\cdot b\cdot c[/tex]
The greatest common factor is the product of all the factors these terms have in common. Here, we can see that they have
One 17One aOne b, andOne cin common. Multiplying these together, the greatest common factor is 17abc.
Let the random variable X represent the profit made on a randomly selected day by a certain store. Assume that X is Nomal with mean $360
and standard deviation $50. What is P(X<$400)?
A0 2881
B0.7881
C0.8450
D0.5319
E0.2119
Answer:
b
Step-by-step explanation:
The probability for P(X<$400) is 0.7881.
What is z- score?The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.
Given:
Mean = $360
Standard Deviation = $50
We can use the z-score formula that is shown below:
Z = x - μ/σ
Where,
Z = standard score
x = observed value
μ = mean of the sample
σ = standard deviation
So,
z = 400 - $360/$50
z = 40/ 50
z= 0.8
and, P(x<400) = 0.78814
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In a certain high school, 240 students made the honor roll
could you finish the question? we cannot help you if we don't get the full question!
Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *
Answer:
Susana will have 107 students.
Step-by-step explanation:
Becca have students = 115
Susana has 8 fewer students than Becca.We can write its as:
Becca has 115 students, so Susana will have 115-8 = 107 students
Because fewer means less than so, 8 less than 115 is 115-8
Erika has 25 more students than Susana.We can write it as:
Susana has 107 students, so Erika will have: 107+25 = 132 students.
because more means we need to add 25 students with number of students in Susana class.
So, Susana will have 107 students.
I GIVEEE BRAINLILSTT
Answer:
Step-by-step explanation:
Rule for the dilation of a point by a scale factor 'k' about the origin is,
(x, y) → (kx, ky)
By this rule,
Coordinates of the vertices of the given triangle when dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin will be,
F(-3, -9) → F'(-1, -3)
G(-3, -6) → G'(-1, -2)
H(3, -6) → H'(1, -2)
Answer:
o;oi;io;o
Step-by-step explanation:iu;iu;ui;jil
;oi;'o'po'oljhiluiluio;ii
Solve fort.
2(t+1) = 10
Answer:
t=4
Step-by-step explanation:
2(t+1)=10
t+1=10/2
t+1=5
t=5-1
t=4
You have $73.50. You earn additional money mowing the lawn. You decide to purchase some shoes that cost $99.99 and you have $23.51. How much money did you earn mowing the lawn?
I have gotten 50$ for mowing the lawns. First you would want to subtract $99.99 with how much money you have without the money of mowing the lawn. Then you would have to get the answer of $27.50. Lastly, you would need to add up the money you have left and the money you end with after buying the shoes and get $50. So this means that I got $50 for mowing the lawn.
You earned a total of $50 by mowing the lawn.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that you have $73.50. You earn additional money mowing the lawn. You decide to purchase some shoes that cost $99.99 and you have $23.51.
Assume that the money you earned by mowing lawn is $x. Then, we can write -
(73.5 + x) - 99.99 = 23.51
x + 73.5 - 99.99 = 23.51
x - 26.49 = 23.51
x = 50
Therefore, you earned a total of $50 by mowing the lawn.
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Factor this expression: 8y^2-16-28x
Please step by step
Answer:
4(2y^2−7x−4)
Step-by-step explanation:
just divide by 4, then you will get the simpliest form because u cannot factor any further
how to measure a shoe length
millimeter
centimenter
meter
kilometer
At the market, 888 apples cost \$4$4dollar sign, 4.
How much do 999 apples cost?
\$
