Answer:
[tex]7.0248\sqrt{x}[/tex]
Step-by-step explanation:
We want to find the answer to the expression: [tex]\sqrt{\pi ^2*5x}[/tex]
We can easily calculate the product of the constants on the inside:
[tex]\sqrt{\pi ^2*5x}=\sqrt{49.348x}[/tex]
Now, we can split this radical into two:
[tex]\sqrt{49.348x}=\sqrt{49.348} *\sqrt{x} =7.0248\sqrt{x}[/tex]
Thus, the answer is [tex]7.0248\sqrt{x}[/tex].
Hope this helps!
Answer:
sqrt(5x) pi
Step-by-step explanation:
(pi² × 5x)^½
(pi²)^½ × (5x)^½
pi × sqrt(5x)
a hatchling turtle has a shell with a 1-inch diameter. the shell keeps a similar shape as the turtle grows. compare the volume and surface area of the hatchling's shell to the shell when it's diameter is 4 inches
Comparing a hatchling turtle's shell of 1-inch diameter to a 4-inch diameter shell reveals that the volume increases by a factor of about 64, while the surface area only increases by about 16. This difference is due to the way volume and surface area are calculated, with the radius being cubed in the volume formula and squared in the surface area formula.
Explanation:The volume of a sphere (like the turtle's shell) is given by the formula: V = (4/3) * π * r³, and the surface area by A = 4 * π * r², where r is its radius. If a hatchling turtle's shell has a 1-inch diameter, it has a radius of 0.5-inches. If as the turtle grows, its diameter expands to 4-inches, then the radius will be 2-inches. As the radius in each formula is cubed in the volume formula and squared in the surface area formula, the volume will increase far more rapidly than the surface area.
For the smaller turtle, V = (4/3)*π*(0.5)³ = 0.52 cubic inches and A = 4*π*(0.5)² = 3.14 square inches. For the larger turtle, V = (4/3)*π*(2)³ = 33.51 cubic inches and A = 4*π*(2)² = 50.27 square inches. Comparing, the volume increases by a factor of 64 (33.51/0.52) whereas the surface area increases by a factor of roughly 16 (50.27/3.14). This shows that although the turtle's shell maintains the same shape as it grows, the volume increases significantly more than the surface area.
Learn more about Comparative Dimensions here:https://brainly.com/question/14801905
#SPJ12
The unit used to measure an angle is called a ___________
A. clockwise
B.counterclockwise
C. degree
D. protractor
Answer:
it is C
Step-by-step explanation:
A degree
Answer:
degree
Step-by-step explanation:
degree
3. Roberto wants to reduce a drawing that is 12 inches long by 9 inches wide. If his new drawing is 8 inches long, how wide will it be?
Answer:5 inches wide
Step-by-step explanation:
12-8 (long)=4
9-4 (getting the new drawings length so you subtract)=5
Which equation could be used to solve for the length of
XY?
OXY = (22)sin(41°)
O XY = (22)cos(419)
OXY = 22.
cos(41°)
O XY = 22
sin( 41°)
The expressions used to find XY is XY = 22/sin(41)
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given triangle XYZ with side XY as the hypotenuse. Hence using trigonometric ratios:
sin(41) = 22 / XY
Making XY the subject of the equation:
XY = 22/sin(41)
The expressions used to find XY is XY = 22/sin(41)
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Answer:
D. XY = 22/ (sin) 41
Step-by-step explanation:
I did it on edge
Consider the exponential function f(x) = 2(3)x and its
graph.
Answer:
initial value = 2
base = 3
this function is exponential growth
Step-by-step explanation:
The formula for exponential functions is [tex]f(x) = ab^{x}[/tex]
a = initial value
b = the constant/change factor/fixed base value
x = independent variable
if the function approaches (∞ , ∞) it is positive
Somebody please help me with this!!
Answer:
√62 is between integers 7 and 8
Step-by-step explanation:
writing out the integers as square roots,
√1, √4. √9, √16, √25, √36, √49, √64
62 is between 49 and 64, so we know √62 is between √49 and √64
√49 = 7
√64 = 8
√62 is between integers 7 and 8
Tina wants to install a hot tub in her backyard. The backyard is 15 ft by 40 ft,
and the hot tub will be 7 ft by 7 ft. What is the area of the backyard that will
not be covered by the hot tub?
HELPP
Answer:
460 ft
Step-by-step explanation:
How do you title someone as a Brainliest on this app?
Answer:
Find the answer that is provided to you. On the bottom of the comment, there is an option in gold text that allows you to pick brainliest. You can try it on this comment.
Answer:
After you thank them or rate them (I'm honestly not sure which, but why not do both if you're going to do one anyways), a yellow button will appear (I think next to the 5 stars) that says 'mark as Brainliest'. If you click that button, the answerer will get a notification saying that you marked them as Brainliest.
P.S.: Only the person who asked the question can mark an answer as Brainliest, and only one person can be marked as Brainliest.
Timmy drew a triangle that had a 95 degree angle and no congruent sides
Answer:
obtuse scalene triangle
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Timmy drew a triangle with no cogruent sides and a 95° angle. Classify the triangle by the lengths of its sides and measures of its angles. Explain
My answer:
As we know that, the sum of 3 internal angles on a triangle is 180° . In the question, Timmy drew a triangle that had a 95 degree it means that sum of the other two angles is:
180° - 95° = 85 °
Futhurmore, no congruent sides
So his angle will be obtuse scalene triangle, you can have a look at the attached photo
Round to the nearest hundredth 4.644
Answer:
4.64
Step-by-step explanation:
the number that comes after the hundreth place(4) is less than 5 so you keep all of the other numbers the same
Solve the problem below and enter your answer in the space provided.
(2 x 3) x (3 x2) x (2 x 4) = ?
Look at the attached picture ⤴
Hope it will help u...
Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?
a. tan theta = -tan theta
b. tan theta = tan (90 degrees - theta)
c. tan theta = -tan (180 degrees - theta)
d. none of the above
Answer:
c
Step-by-step explanation:
See the graph for an example using the specific angles [tex]\theta=60^\circ , \,\, \180^\circ-\theta=120^\circ[/tex]
See how the red segments are equal in length but going in opposite directions?
[tex]\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}[/tex]
a. This can't be correct: it says [tex]\tan{\theta}[/tex] is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.
b. Not true in Quad. I. Consider [tex]\tan{60^\circ}, \,\, \tan{30^\circ}[/tex].
Find the scale factor of figure A to Figure B.
Answer:
Step-by-step explanation:
The scale factor from figure a to figure b would be 1/16 i believe.
Correct me if im wrong
The scale factor of figure A to figure B is 5/9.
In the given figure, A and B are similar triangles.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Here, 20/36
= 5/9
= 14/25.2
= 2/3.6
= 5/9
Hence, the scale factor of figure A to figure B is 5/9.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
#SPJ5
The quantities xxx and yyy are proportional.
xxx yyy
888 1.61.61, point, 6
151515 333
222222 4.44.44, point, 4
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
r=0.2
Step-by-step explanation:
Given the quantities x and y
[tex]\left|\begin{array}{c|c}x&y\\---&---\\8&1.6\\15&3\\2&4.4\end{array}\right|[/tex]
When x=8, y=1.6
On Substitution into y=rx
1.6=8r
r=1.6/8=0.2
When x=15, y=3
On Substitution into y=rx
3=15r
r=3/15=0.2
When x=2, y=0.4
On Substitution into y=rx
0.4=2r
r=0.4/2=0.2
Therefore, the constant of proportionality, r=0.2
NOTE: One set of values is enough to determine this. Others are done for verification.
Answer:
R = 1/2
Step-by-step explanation:
tom bought a pack of pencils for $1.99 and 3 notebooks. He spent $6. How much did each notebook cost?
Answer:
Approximately $1.34 for each notebook.
Step-by-step explanation:
6-1.99=4.01
4.01/3=1.3366...
Answer: $1.34 per notebook
The score on an exam from a certain MAT 112 class, X, is normally distributed with μ=78.1 and σ=10.8.
NOTE: Assume for the sake of this problem that the score is a continuous variable. A score can thus take on any value on the continuum. (In real life, scores are often treated as if they were continuous values but are actually discrete in most cases.)
(a) Write the event ''a score less than 67.1'' in terms of X:
.
(b) Find the probability of this event:
(c) Find the probability that a randomly chosen score is greater than 89.1:
.
(d) Find the probability that a randomly chosen score is between 67.1 and 89.1:
a) [tex]X<67.1[/tex]
b) 0.1539
c) 0.1539
d) 0.6922
Step-by-step explanation:
a)
In this problem, the score on the exam is normally distributed with the following parameters:
[tex]\mu=78.1[/tex] (mean)
[tex]\sigma = 10.8[/tex] (standard deviation)
We call X the name of the variable (the score obtained in the exam).
Therefore, the event "a student obtains a score less than 67.1) means that the variable X has a value less than 67.1. Mathematically, this means that we are asking for:
[tex]X<67.1[/tex]
And the probability for this to occur can be written as:
[tex]p(X<67.1)[/tex]
b)
To find the probability of X to be less than 67.1, we have to calculate the area under the standardized normal distribution (so, with mean 0 and standard deviation 1) between [tex]z=-\infty[/tex] and [tex]z=Z[/tex], where Z is the z-score corresponding to X = 67.1 on the s tandardized normal distribution.
The z-score corresponding to 67.1 is:
[tex]Z=\frac{67.1-\mu}{\sigma}=\frac{67.1-78.1}{10.8}=-1.02[/tex]
Therefore, the probability that X < 67.1 is equal to the probability that z < -1.02 on the standardized normal distribution:
[tex]p(X<67.1)=p(z<-1.02)[/tex]
And by looking at the z-score tables, we find that this probability is:
[tex]p(z<-1.02)=0.1539[/tex]
And so,
[tex]p(X<67.1)=0.1539[/tex]
c)
Here we want to find the probability that a randomly chosen score is greater than 89.1, so
[tex]p(X>89.1)[/tex]
First of all, we have to calculate the z-score corresponding to this value of X, which is:
[tex]Z=\frac{89.1-\mu}{\sigma}=\frac{89.1-78.1}{10.8}=1.02[/tex]
Then we notice that the z-score tables give only the area on the left of the values on the left of the mean (0), so we have to use the following symmetry property:
[tex]p(z>1.02) =p(z<-1.02)[/tex]
Because the normal distribution is symmetric.
But from part b) we know that
[tex]p(z<-1.02)=0.1539[/tex]
Therefore:
[tex]p(X>89.1)=p(z>1.02)=0.1539[/tex]
d)
Here we want to find the probability that the randomly chosen score is between 67.1 and 89.1, which can be written as
[tex]p(67.1<X<89.1)[/tex]
Or also as
[tex]p(67.1<X<89.1)=1-p(X<67.1)-p(X>89.1)[/tex]
Since the overall probability under the whole distribution must be 1.
From part b) and c) we know that:
[tex]p(X<67.1)=0.1539[/tex]
[tex]p(X>89.1)=0.1539[/tex]
Therefore, here we find immediately than:
[tex]p(67.1<X<89.1)=1-0.1539-0.1539=0.6922[/tex]
If the zeros are 1 and -4, what are the factors?
Answer:
(x - 1) and (x + 4)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a, x = b then the factors are
(x - a), (x - b) and the polynomial is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = 1 and x = - 4, thus the factors are
(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)
Damon buys lumber worth $562. He gets a 20% contractor’s discount. The sales
tax is 6%. His credit card gives him 2% off. How much does he pay?
2 more than triple a number is 10.
2 more than triple the number can be expressed as 3x + 2. We want this expression to equal 10, so we can set up the equation as 3x + 2 = 10.
To solve the equation, '2 more than triple a number is 10', we can first translate the sentence into an equation.
Let's assume the number is represented by x.
Triple the number would be 3x. And 2 more than triple the number can be expressed as 3x + 2.
We want this expression to equal 10, so we can set up the equation as follows:
3x + 2 = 10
Now, we can solve for x by isolating it on one side of the equation.
Subtracting 2 from both sides, we get:
3x = 8
Finally, divide both sides by 3 to solve for x:
x = 8/3
The probable question may be:
Formulate a complete mathematical question based on the statement: "2 more than triple a number is 10."
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.
(1) Write an expression that represents the total cost of the bouncy house for c children to jump.
(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?
v85g5c
1) The expression that represents the total cost of the bouncy house for c children is:Total Cost} = 150 + 2c 2) The total cost for the bouncy house for 15 children is $180.
(1) The expression that represents the total cost of the bouncy house for c children is given by: Total Cost} = 150 + 2c
(2) Given that a total of 15 children attended Sue’s party, including Sue, substitute c with 15 in the expression:
Total Cost} = 150 + 2 * 15
Total Cost} = 150 + 30
Total Cost} = 180
Therefore, the total cost for the bouncy house for 15 children is $180.
3. Shih Huangdi’s Great Wall was 10,000 li long. If two li equal approximately 0.6 miles, how many miles was Shih Huangdi's Great Wall of China?
a. 3,000
b. 6,000
c. 10,000
d. 4,000
Final answer:
The Great Wall of China was approximately 3,000 miles long.
Explanation:
The Great Wall of China was 10,000 li long. In this case, li is a unit of measure. We are told that 2 li is approximately equal to 0.6 miles. To find how many miles the Great Wall is, we can set up a proportion:
2 li = 0.6 miles
10,000 li = x miles
To solve for x, we can cross multiply and divide:
10,000 li * 0.6 miles = 2 li * x miles
6,000 miles = 2x
x = 6,000 / 2
x = 3,000 miles
Therefore, Shih Huangdi's Great Wall of China was approximately 3,000 miles long.
Which of these four sets of side lengths will form a right triangle? Set 1 6 cm, 7 cm, StartRoot 12 EndRoot cm Set 2 8 in., StartRoot 29 EndRoot in., StartRoot 35 EndRoot in. Set 3 StartRoot 3 EndRoot mm, 4 mm, StartRoot 5 EndRoot mm Set 4 9 ft, StartRoot 26 EndRoot ft, 6 ft Set 1 Set 2 Set 3 Set 4
Answer:
16 cm,7cm, start root 12.
area is 20 square units. the length is 4 more than 3 time the width. find the dimension
Write the formula and answer SHOW ALL WORK!
starts with 20 smthing x3 +4 = 20 but what is it ???? hmmmm if you think more you can fiqure it out by just finding random numbers so use ur brain i guess???
Answer:
width: 2
length: 10
Step-by-step explanation:
L = 3W + 4
A = LW = (3W + 4) x W
= 3w² +4w
3w² + 4w = 20
3w² + 4w -20 = 0
(w - 2) (3w + 10) = 0
w = 2 or w = - 10/3 (width is positive) ∴ width = 2
length = 3 x 2 + 4 = 10
Please HELP OR IM GOING TO FAILLL
rule: y=x+3
HELPpppppp
Answer:
Step-by-step explanation:
when y=4
x=4-3=1
when y=8
x=8-3=5
when y=5
x=5-3=2
Answer:
[tex]\left[\begin{array}{ccc}x&y\\1&4\\5&8\\2&5\end{array}\right][/tex]
Step-by-step explanation:
x + 3 = y
1 + 3 = 4
5 + 3 = 8
2 + 3 = 5
brainliest?
VERY EASY!!! Find the domain of the graphed function.
Answer:
The answer is c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Which sentence uses a present participle form of a verb?
A)
Reading every day is a great habit to get into.
B)
The neighborhood pond is teeming with large fish.
C)
The manager is interested in hearing your comments.
D)
Would you like to walk home or do you prefer taking the bus?
Final answer:
Option C is correct as it uses the present participle 'hearing' in a participial phrase, which acts as an adjective.
Explanation:
The present participle form of a verb can be identified by its -ing ending and is often used as part of the present progressive tense or as a participial phrase acting as an adjective. Looking at the provided options, sentence A) Reading every day is a great habit to get into uses the present participle reading as a gerund, acting as the subject of the sentence. Sentence C) The manager is interested in hearing your comments uses the present participle hearing in a participial phrase, functioning as an adjective to describe the comments. Therefore, the correct answer is C as it contains a present participle functioning as part of a participial phrase.
Error Analysis A gardener plans to extend the length of a rectangular garden by 7 feet. Let x represent the garden's original length. The expression 6 left parenthesis x plus 7 right parentheses represent the area of the garden, where 6 is the width, in feet, and left parenthesis x plus 7 right parentheses represent the extended length, in feet, of the garden. When asked for the area of the extended portion, the gardener incorrectly said it was 13 square feet. Expand the expression to find the area of the extension. Then describe an error the gardener might have made.
The gardener's expression correctly calculates the area of the entire garden after extension, not just the extension itself. The error was in misinterpreting the question and focusing solely on the extension, leading to the incorrect answer of 13 square feet.
Explanation:Expanding the expression: 6(x + 7) = 6x + 42. This represents the total area of the garden after extending its length by 7 feet.
Error analysis: The gardener likely assumed they needed to calculate the area added by the extension. This could be due to:
Misunderstanding the question and focusing on the 7-foot extension instead of the total area change.
Mistakenly interpreting "area of the extension" as the area of the rectangle formed only by the additional 7-foot length and the original width.
Therefore, while the expression itself is correct, the gardener misinterpreted the question and made an error in interpreting what "area of the extension" referred to.
Sameer visited his cousin and had to drive 135 miles north then 90 miles west. At the end of his trip, he pulled out a map to determine how far from home he was. What is the shortest distance from Sameer's house to his cousin's house? Round your answer to the nearest mile.
Group of answer choices
163
162
164
160
Answer:
B.) 162 miles
Step-by-step explanation:
It really helps to draw a model when you are working with these. After having drawn a model, you can see that a right triangle was made, with the distance from Sameer's house to his cousin's being the hypotenuse. So, you can use the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
Solve for c. Fill in values:
[tex]135^2+90^2=c^2[/tex]
Evaluate exponents:
[tex]18,225+8,100=c^2[/tex]
Simplify addition:
[tex]26,355=c^2[/tex]
Find the square of both sides:
[tex]\sqrt{26,355} =\sqrt{c^2}\\\\162.34=c[/tex]
Flip
[tex]c=162.34[/tex]
Round to the nearest mile
[tex]c=162[/tex]
Done.
I need help in solving this problem ASAP!
Answer:
? = 24, AB = 8.66 (square root of 75, 5 times the square root of 3)
Step-by-step explanation:
Since the whole length equals 27, we can subtract 3 to get 24. The proportion is a setup for geometric mean. This means cross-multiplying. X x X = X^2, 3 x 24 = 72. Square root both sides to get X by itself. [tex]3\sqrt{8} \\[/tex]. Use Pythagoreans to solve the rest. You are left with the square root of 75, or 5 times the square root of 3.