The quotient of the following expressions is given as 7.69, -9.18, 14.10, 7.69, and 8.78.
What is the quotient?The quotient means the separation of something into different parts, sharing of something among different people, places, etc.
1. Start fraction 9 + start root 2 and root over 4 minus start root 7 end root end fraction.
[tex]\dfrac{9 + \sqrt2}{4-\sqrt7} = 7.69[/tex]
2. Start fraction 9 start root 7 end root + start root 14 end root over negative 3 end fraction.
[tex]\dfrac{9\sqrt7 + \sqrt{14}}{-3} = -9.18[/tex]
3. Start fraction 36 minus 9 start root 7 end root + 4 start root 2 end root minus start root 14 end root end fraction.
[tex]36 - 9\sqrt7 + 4 \sqrt2 - \sqrt{14} = 14.10[/tex]
4. Start fraction 36 + 9 start root 7 end root + 4 start root 2 end root + start root 14 end root over 9 end fraction.
[tex]\dfrac{36 + 9\sqrt7 + 4 \sqrt2 + \sqrt{14} }{9} = 7.69[/tex]
5. Start fraction 79 over 9 end fraction.
[tex]\dfrac{79}{9} = 8.78[/tex]
More about the quotient link is given below.
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Linda pays $24.84 for 7.2 gallons of gas.
Find the unit price in dollars per gallon.
If necessary, round your answer to the nearest cent.
Answer:
3.45
Step-by-step explanation:
24.84/7.2 = 3.45
The unit rate is $3.45 per gallon
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Linda pays $24.84 for 7.2 gallons of gas.
Thus unit rate ( dollars per gallon) = $24.84/7.2
=$3.45 per gallon
Hence, The unit rate is $3.45 per gallon
Learn more about the unitary method here:
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HELP PLEASE!!!
If angle X and angle Y are a Linear Pair, what can be stated about the two angles?
A. Angle X and angle Y are both obtuse
B. Angle X and angle Y are complementary
C. Angle X and angle Y are supplementary
Answer:
C
Step-by-step explanation:
linear pairs equal up to 180°, so the 2 angles must be supplementary, meaning it adds up to 180°.
Use a calculator to solve the following equation for θ on the interval [−90∘,90∘]. Sin(θ)=34
The value of θ from the given equation is 48.59degrees
Trigonometry identityGiven the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
Learn more on trig identity here:https://brainly.com/question/7331447
I'm unsure of what the answer to this is.
Answer:
your answer is definitely B
Step-by-step explanation:
The solution of a+b>12 is a>-3. What is the value of b?
Answer:
b>12-a
Step-by-step explanation:
Answer:
its b>12
Step-by-step explanation:
Evaluate.
781
1.8
2.10
3.11
4.9
Answer:
9 is the answer u are looking for square root
Jennifer drove 450 miles back home to Maine. If she drove this in 6 hours, what was her unit rate?
Answer:
the unit rate was 75
Step-by-step explanation:
i did 450 divided by 6 =75
she drove 75 miles per hour
PLEASE HELP!!
(x+3)(x−2)/(x+7)² ≥0
Answer:
Step-by-step explanation:
The first few steps in solving the quadratic equation 8x2 80x = −5 by completing the square are shown. 8x2 80x = −5 8(x2 10x) = −5 8(x2 10x 25) = −5 ______ which number is missing in the last step? −200 −25 25 200
The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic equation is 8x² + 80x = −5
On adding and subtracting 200 on both sides, we have
8x² + 80x + 200 = −5 + 200
8 (x² + 10x + 25) = −5 + 200
Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.
More about the factorization link is given below.
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The temperature in the morning was - 24
degrees. By the afternoon, the
temperature was 0.2 degrees. What was
the change in temperature?
Answer:
ΔT = -23.8°
Step-by-step explanation:
Given :-
T (initial) = 24°T (final) = 0.2°To Find :-
ΔTSolving :-
ΔT = T (final) - T (initial)ΔT = 0.2 - 24ΔT = -23.8°Rewrite the following polynomial in standard form.
-2+1/3x^2-x
CRIS 100 A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel mess How long will the remaining ration last?
Answer:
30
Step-by-step explanation:
[tex]500\times\left(60-12\right)\div\left(300+500\right)[/tex]
Calculate
[tex]\frac{500\times\left(60-12\right)}{300+500}[/tex]
Calculate the sum or difference
[tex]\frac{500\times48}{300+500}[/tex]
Calculate the sum or difference
[tex]\frac{500\times48}{800}[/tex]
Cross out the common factor
[tex]\frac{5\times48}{8}[/tex]
Cross out the common factor
[tex]5\times6[/tex]
Calculate the product or quotient
[tex]30[/tex]
The product of two consecutive positive even integers is 24. Find the integers.
Answer:
The two consecutive even integers
:
(
4
,
6
)
or
(
−
6
,
−
4
)Step-by-step explanation:
n
and
n
−
2
be the two consecutive even integers,where
n
∈
Z
Product of
n
and
n
−
2
is 24
i
.
e
.
n
(
n
−
2
)
=
24
⇒
n
2
−
2
n
−
24
=
0
Now,
[
(
−
6
)
+
4
=
−
2
and
(
−
6
)
×
4
=
−
24
]
∴
n
2
−
6
n
+
4
n
−
24
=
0
∴
n
(
n
−
6
)
+
4
(
n
−
6
)
=
0
∴
(
n
−
6
)
(
n
+
4
)
=
0
∴
n
−
6
=
0
or
n
+
4
=
0
...
→
[
n
∈
Z
]
⇒
n
=
6
or
n
=
−
4
(
i
)
n
=
6
⇒
n
−
2
=
6
−
2
=
4
So,the two consecutive even integers
:
(
4
,
6
)
(
i
i
)
)
n
=
−
4
⇒
n
−
2
=
−
4
−
2
=
−
6
So,the two consecutive even integers
:
(
−
6
,
−
4
)
Find the sum of the interior angles of a polygon with 20 sides
Answer:
3240°
Step-by-step explanation:
The sum of the interior angles of a polygon is found by (n-2)(180) where n is the number of sides so (20-2)(180) = (18)(180) = 3240°
I need this done before tomorrow please help
Answer:
If im not mistaken angle B nad D should have the same meausurement which would be 128°
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her that she has 7 years to pay off all of her loans, and that starting this month, the loans will be compounded monthly at a fixed annual rate of 9.1%. Erica currently has a total of $34,006.00 in student loans. Use the formula for the sum of a finite geometric sequence to determine Erica's approximate monthly payment.
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
[tex]A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ][/tex]
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
[tex]0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ][/tex]
[tex]M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85[/tex]
Therefore, the approximate monthly payment = $548.85
which is never visible on the graph of a sequence?
a. x-intercept
b. the first term
c. common difference
d. y-intercept
please help me :,(
The modified expression, x3(2x 5) – 4(2x 5), has two terms with a common factor of.
Answer:
Step-by-step explanation:
You need to use the distributive property to take out the common factor. But that doesn't tell you what the common factor is.
Look inside the brackets. You need to find something that is exactly the same on either side of the minus sign. In this case you have a huge cle about what it is.
2x^5 is it not? I'm assuming that's the correct way to read it.
So that's the answer to your question 2x^5.
The distributive property will tell you that 2x^5 can be taken out, and what is left is
2x^5 ( x^3 - 4)
To hire a tutor, Abelia will pay $35 per hour plus a materials fee of $10. She will only pay the materials fee one time. The equation c = 10 + 35h can be used to represent this situation where c is the total cost and h is the number of hours Abelia hires the tutor.
Answer:
Yes! C=10+35h is correct!
Step-by-step explanation:
Yes, equation is correct!
$10 is fixed one time fee.$35 is hourly pay.
So, if she needs tutor for 'h' hours, the variable cost is $35h
So, total cost C =10+35h
Here’s an algebra problem 20 points will mark brainliest if correct!!!
Answer:
y = 12/7xStep-by-step explanation:
Given A graph with points A, B, C, D and ETo findEquation of the line through the points C and DSolutionWe'll get the coordinates of the points C and D first and find slope and y-intercept
As per the graph, the coordinates are:
C = (0, 0) and D (7, 12)Formula of the line
y = mx + bSlope is
m = (12 - 0)/(7 - 0) = 12/7y- intercept is 0 as per point CSo the line is
y = 12/7xI’m backkkkkkkk
Arrange the tiles
Write a paragraph that explains
X+72892039383=7282920202029838392920303030 d;p
Free points?!?! Sjisjsusdn disnsbsjd sjsjsjjsd dudjsjd sjsjsjjsd dhjdbsvsbssk usjsjdjdn sdudjsbdj dudjsjdjsobdud djsjdndbdun flight g g. Finding. Finding fouled. Dozen foams fouled hsjsjsjs we see s e e. E e e e e
Una dos tres Quattro cinco diese ceiento
1.
2.
3.
Choose all that apply
I will make brainliest if
Help please
What’s the length of
I’m having a really hard time rn
What is the range of the function
Explain your answer
Research paper
Thanks!
Thanks
thanks
History
African American
Experiences
Justice
Identify
Social
Women
Which factors push cultures to change over time
Population
Distribution
Trade
Growth
Technology
Properties of algebra
Find the sum of
You want to test the effects of water aerobics on resting heart rate. You decide to test two different levels of exercise (water aerobics for 30 minutes twice a week and water aerobics for 60 minutes once per week.) You randomly find a group of 60 subjects (30 men and 30 women) for this study. What is an appropriate design for this study? A). Randomized block design B). Completely randomized design C). Matched pairs design
Answer:
The correct option is;
A). Randomized block design
Step-by-step explanation:
In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block
The groups can therefore comprise of the following;
Group 1
15 men and 15 women to perform water aerobics for 30 minutes twice a week
Group 2
15 men and 15 women to perform water aerobics for 60 minutes once a week
Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.
Which lunch box holds more? HELP image included
Answer:
lunch box a
Step-by-step explanation:
brainliest pls :3
What is the square root of -1?
Answer:
i
Step-by-step explanation:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
the answer is i
Step-by-step explanation:
for real this is true
For each diagram below, write and solve an equation.
Answer:
A.x=3 C. n=10
Step-by-step explanation:
A.13-7=6
6/2=3
C.6x4=24
44-24=20
20/2=10
The sand in an hourglass drops at a constant rate of 2.5 cubic millimeters ( mm3 ) every second. The amount of sand that drops, y , in mm3 , is a function of time, x , in seconds.
For the input values of 0 , 2 , and 6 , determine the matching outputs. Graph the inputs of 0 , 2 , and 6 and their corresponding outputs as ordered pairs, represented by points on the coordinate plane.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -1 to 25 with ticks spaced every 1 unit(s).
The vertical axis goes from -1 to 18 with ticks spaced every 1 unit(s).
Created graph shapes
Point with coordinates (-1, 0).
Point with coordinates (-1, 0).
i Just need the graph points
Answer:
Step-by-step explanation:
In the graph, y is the amount of sand in mm^3 and x is time in seconds.
They are directly related as the sands drops at a constant rate of 2.5 cubic millimeters ( mm^3 ) every second.
So y = 2.5x
Input x=0, output is y=0
The first point is (0, 0)
Input x=2, y=2.5*2=5
The second point is (2, 5)
Input x=6, y=2.5*6=15
The third point is (6, 15)
The measures of the angles of a triangle are shown in the figure below . Solve for x
What is the exponential regression equation to best fit the data where the y values were rounded to the nearest integer.
Question 9 options:
y=3(1. 05)^x
y=2. 1(2. 05)^x
y=2. 17(2. 96)^x
y=2(2. 95)^x
Answer: y=2.17(2.96)
Step-by-step explanation: i took the test
Identify the cluster in the data
The one that has the most circles in a group :D
Consider a post office with two clerks. Three people, A, B, and C, enter si- multaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. What is the probability that A is still in the post office after the other two have left when
Answer:
0
Step-by-step explanation:
For the linear relation y= 2x + 5, the x-intercept is -2/5
True
False
Answer:
False
Step-by-step explanation:
Every linear equation in two variables can be written as y=mx+c.
Here, for each value of x there is a unique value of y.
Also, x & y are in direct variation.
Hence, xy will always remain constant.
Consequently, the graph will maintain a definite slope making it a straight line.
∴ The given statement is false.
Answer:
False
Step-by-step explanation:
=> y = 2x + 5
=> y - 2x = 5
=> - 2x + y = 5
=> (-2x + y) = 5
=> (-2/5)x + y/5 = 1
=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.
So, here, x intercept is -5/2.
Method 2;
=> y = 2x + 5
=> y = 2(x + 5/2)
=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5