Answer:
[tex]x=\pm\frac{9}{2}[/tex]
Step-by-step explanation:
I assume you mean [tex]4x^2-81=0[/tex]:
[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]
We were able to work quickly here since the original left-side expression was a difference of squares.
Answer:
Step-by-step explanation:
4x^2 - 81 = 0
(2x - 9)(2x + 9) = 0
x = -9/2, 9/2
Solve for x (literal equations)
C=b-bx
Answer:
X= (-c+b)÷b
or
X= -b×(c-b)
Step-by-step explanation:
C=b-bx
b-bx=c
-bx= c-b
-x=(c-b)÷b
x= -(c-b)÷b
or
-x= b×(c-b)
x= -b×(c-b)
The area of a square garden is
1/144 km ^2 . How long is each side?
Answer:
[tex]\frac{1}{12}[/tex] Km
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
here A = [tex]\frac{1}{144}[/tex] , then
s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )
s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]
Answer:
side= 1/12 km = 0.083km
Step-by-step explanation:
The formula of area of a square is: A=side²
To get the length of each side, square root each side of the formula as shown below:
√A=√(side)²
√(1/144)=side
side= √(1/144) = 1/12 = 0.083km
Xaviera went out to play soccer at 5:31 and returned home at 7:00 how long was she playing soccer
Step-by-step explanation:
she played for about 1 hour 29 minutes
Answer:
1 hour and 29 minutes or 89 minutes
For each ordered pair determine whether it is a solution to Y= -8
Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)
Answer:
(4,-8) is the only correct solution because it is the only one to have a Y value of -8
Provide the missing reasons for the proof.
Given: AB || RS
Prove: QA/QR = QB/QS
Answer:
1) given
2) reflexive property
3) corresponding angles theorem
4) AA similarity
5) Corresponding sides of similar triangles are proportional.
Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.35
Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: 13.50, 942.06, 75.53, 670.14 all in dollars.Deducted amount was: 155.40 dollarsThus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40
Net deposite = 1545.83 (in dollars).
Thus, the total deposite that Art made is given by: Option B: $1,545.83
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Answer:
B
Step-by-step explanation:
Which number line shows the solution set for Ip-31-97
-129
3
6 9 12
-12 -9
-6
-3
0
3
6
9 12
.
+
-12 -9
-6 3 0
+
9
12
o
3
-12 g 6
-3
0
12
Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet
[tex]\qquad\huge\underline{{\sf Answer}} ♨[/tex]
Total surface area :
[tex]\qquad \sf \dashrightarrow \:2(lw + wh + lh)[/tex]
[ l = Length, w = width, h = height ]
[tex]\qquad \sf \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]
[tex]\qquad \sf \dashrightarrow \:2 (36)[/tex]
[tex]\qquad \sf \dashrightarrow \:72 \: ft {}^{2} [/tex]
answer needed please
Answer:
the top answer should be stretched
Carl is the owner of a shoe store and notices that his electricity bill has increased by 3%. Which of the expressions below represent a 3% increase?
1. a + 0.03a
2. a + 0.3a
3. 1.03a
4. 1.3a
expression 1 only
expression 2 only
expressions 1 and 3
expressions 2 and 4
Answer:
1 and 3
Step-by-step explanation:
PLS HELP im actually cryin i stress over math a lot....
Answer:
4 mg
Step-by-step explanation:
Plug in everything that they have given for the equation
since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.
y = 64(0.5)^4
and solve
y = 4
so there will be 4 mg of iodine-131 left after 32 days.
Answer:
4 mg
Step-by-step explanation:
half- life is 8 days then 32 ÷ 8 = 4 half- lives , then
y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left
This is the problem it’s on my screenshot
Answer:
(x = 0,y = 0),(x = 1, y = 4),(x= 2, y =8)
Step-by-step explanation:
the rule is to multiply x by 4.
when x = 0, y =4(0) = 0
when x = 1, y =4(1) = 4
when x = 2, y =4(2) = 8
Hope this helps!
Please mark as brainliest!
Dersan went for a run to prepare for a long distance race coming up. From his house, he ran 6 miles directly north, and then 8 miles directly west. From there, he ran the diagnoal distance back to his house. How many total miles did Dersan run?
Answer:
24
Step-by-step explanation:
So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.
3,4,5.
The last side is 10.
6+8+10=24
hope this helped!
What is the slope of the line through the points (-2, -1) and (4, 3)?
2/5
5/2
3/2
2/3
Answer:
2/3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3- -1)/ ( 4 - -2)
= ( 3+1)/ ( 4+2)
= 4/6
= 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{The formula for slope of a line is: }\large\boxed{\mathsf{m = \dfrac{y_2 - y_1}{x_2 - x_1} \ or\ easier \ way\ m = \dfrac{rise}{run}}}[/tex]
[tex]\large\textsf{NOW LETS ANSWER THE GIVEN EQUATION}[/tex]
[tex]\large\text{THE GIVEN EQUATION: \boxed{\rm{m = \dfrac{3 - (-1)}{4 - (-2)}}}}\\\large\boxed{m \rm{= \dfrac{3 + 1}{4 + 2}}}\\\\\\\large\boxed{m \rm{= \dfrac{4}{6}}}\\\\\\\large\boxed{m \rm{= \dfrac{4\div 2}{6\div 2}}}\\\\\\\large\boxed{m = \rm{\dfrac{2}{3}}}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \dfrac{2}{3}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
A. 5π
B. 5/2π
C. 4π
D. 10π
well, since arc's length is s = rθ where θ is in radians, and in the Unit Circle r = 1 and we also know that θ = 5π radians, then
s = (1)(5π)
s = 5π.
Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length of the trip was 300 miles, what percentage of the total trip had they traveled when Tallulah fell asleep?
When Tallulah fell asleep, the family had already traveled 57% of the total trip.
A percentage is a way of expressing a number as a fraction of 100. It is often used to describe proportions, ratios, or rates. For example, if 20 out of 100 people in a room are wearing red shirts, we can say that 20% of the people are wearing red shirts.
If Tallulah slept for the last 129 miles of the trip, it means that the family had already traveled 300 - 129 = 171 miles before she fell asleep.
To calculate the percentage of the total trip that they had traveled when Tallulah fell asleep, we can use the following formula:
Percentage = (Part ÷ Whole) x 100
Where "Part" is the number of miles the family had traveled before Tallulah fell asleep (171 miles) and "Whole" is the total length of the trip (300 miles).
Percentage = (171 ÷ 300) x 100
Percentage = 0.57 x 100
Percentage = 57%
Therefore, when Tallulah fell asleep, the family had already traveled 57% of the total trip.
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plsss need help nowwww
Answer:
49/12
Step-by-step explanation:
1 ⅓ can be written as 1 + 1/3
1 ⅓
= 1 + 1/3
LCM = 3
= 3/3 + 1/3
= ( 3 + 1 )/3
= 4/3
2 ¾
= 2 + 3/4
LCM = 4
= 8/4 + 3/4
= ( 8 + 3 )/4
= 11/4
1 ⅓ + 2 ¾
= 4/3 + 11/4
LCM = 3 x 4 = 12
4/3 x 4/4
= ( 4 x 4 )/( 3 x 4 )
= 16/12
11/4
= 11/4 x 3/3
= ( 11 x 3 )/( 4 x 3 )
= 33/12
16/12 + 33/12
= ( 16 + 33 )/12
= 49/12
Answer:
I don’t know if it correct, but when I solved it I got 4 1/12
Step-by-step explanation:
(1+2) (1/3 + 3/4)
3 + 13/12
3 + 1 1/12
3 + 1 + 1/12
4 + 1 /12
4 1/12
Determine the equation of the circle with center (-7,7)(−7,7) containing the point (-2,-5)(−2,−5)
Circular equations are often organized in the following form:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is where the circle is centered[tex]r[/tex] is the radiusTo find the equation of a circle given its center and a point:
Plug the center into the general equation as (h,k)Plug the given point into the general equation as (x,y)Solve for r²Plug (h,k) and r back into the original equationSolving the QuestionWe're given:
Center: (-7,7)Point: (-2,-5)Plug the center into the general equation:
[tex](x-(-7))^2+(y-7)^2=r^2\\(x+7)^2+(y-7)^2=r^2[/tex]
Plug in the given point (-2,-5) and find r²:
[tex]((-2)+7)^2+((-5)-7)^2=r^2\\(5)^2+(-12)^2=r^2\\25+144=r^2\\r^2=169[/tex]
Plug the center and radius back into the original equation:
[tex](x-h)^2+(y-k)^2=169\\(x+7)^2+(y-7)^2=169[/tex]
Answer[tex](x+7)^2+(y-7)^2=169[/tex]
PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}
Answer: Option 2
Step-by-step explanation:
What expression is equal to 6(2f + 2)
Answer:
[tex]\boxed{\sf{12f+12}}[/tex]Step-by-step explanation:
Use the distributive property.
Distributive property formula:
A(B+C)=AB+AC
6(2f + 2)
Multiply.
6*2f=12f
6*2=12
Rewrite the expression down.
12f+12
So, the final answer is 12f+12.I hope this helps! Let me know if you have any questions.
Answer:
12f + 12
Step-by-step explanation:
Step 1: Distribute
6(2f + 2)
(6 * 2f) + (6 * 2)
12f + 12
Answer: 12f + 12
If the scores from an intelligence test are normally distributed, then you would predict that the largest number of people would receive an IQ score of _____ on that test.
Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.
More can be learned about the normal distribution at https://brainly.com/question/24663213
65, 46, 78, 3, 87, 12, 99, 38, 71, 38
what is the median?
Answer:
46
Step-by-step explanation:
Just put in least to greatest then you would scratch each number from left to right till you got to the middle number (median)
pls mark brainless
The volume of a sphere is 2,000π m3. What is the surface area of the sphere to the nearest square meter?
Answer:
Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19
Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307
In short, Your Answer would be Option D) 1307 m²
Hope this helps!
Step-by-step explanation:
What type of triangle is defined by the following set of side lengths
12, 8, 16
Question 3 options
Acute
Obtuse
Right
Not a triangle
The type of triangle defined by the following set of side lengths is an obtuse triangle
Properties of a triangle.Triangles are 2-dimensional shapes with 3 sides and angles.
The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.
The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.
This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.
This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle
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F(x)=x^2. What is g(x)? point given (2,1)
A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2
At x=2
f(2)=2²=4And
g(2)=1So the function is
g(x)=1/4f(x)g(x)=1/4x²expand and simplify \5 (\10 +\2) ?
someone said the answer was 60, so i tried it and it didn’t work. can anyone help please?
Answer:
[tex]5\sqrt{2} +\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]
[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]
An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:
1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.
2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.
The first part...
[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]
[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]
[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]
[tex]\sqrt{25} = 5 < --Solve[/tex]
[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]
[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]
The second part...
[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]
[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]
Combine both parts...
[tex]5\sqrt{2} +\sqrt{10}[/tex]
In a sequence of numbers, a5 = 30, a6 = 34, a7 = 38, a8 = 42, and a9 = 46.
Which equation can be used to find the nth term of the sequence?
A.) a,n = 4n + 10
B.) a,n = 4n + 30
C.) a,n = 6n + 30
D.) a,n = 6n
Answer:
A.)
Step-by-step explanation:
Try each choice to see which one works.
A.)
a_n = 4n + 10
a_5 = 4(5) + 10 = 30
a_6 = 4(6) + 10 = 34
a_7 = 4(7) + 10 = 38
Answer: A.)
Find the volume of the following. Show your work
Answer:
length * width * height = volume
10 * 2 * 5.5 = 110 cubed inches
7.a taxi travels with a constant speed
Answer:
Hi, not sure of what you're asking here?
Step-by-step explanation:
Try rephrasing it??
A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?
The approximate surface area of the balloon is 199 cm².
The approximate volume of the balloon is 262 cm³
What is the surface area and the volume of the balloon?Radius of the balloon = circumference / 6.2832
25 / 6.2832 = 3.98cm
Surface area = 4πr²
4 x 22/7 x 3.97² = 199 cm²
Volume = 4/3πr³
4/3 x 22/7 x 3.97³ = 262.20 cm³
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