The area of the given circle is 95 cm².
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle.
In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
So, we know that the diameter of the circle is 11 cm.
Radius = Diameter/2
11/2
5.5 cm
Area of circle: πr²
3.14(5.5)²
3.14*30.25
94.985
Rounding off: 95 cm²
Therefore, the area of the given circle is 95 cm².
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What inequality represents the graph? 4 . -8-40 48 x <= - 8; x < - 8; x > - 8; x < 8
Option 1 : x < = - 8 represents the given graph of inequality.
What is inequality?In mathematics, an inequality displays the connection between two values in an unbalanced algebraic expression. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signs.
Depending on which way the inequality sign is pointing, a sign can be greater or less than. When the open portion of the sign is facing left, >, the value on the left side of the sign is greater than the value on the right. When it is turned to the right, the left value is less than the right value.
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answer the question linked
What is the slope of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-3,9)(−3,9)left parenthesis, minus, 3, comma, 9, right parenthesis?
The slope of the line passing through the points (-9, 6) and (-3, 9) is (1/2).
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
Given, A line passes through the points (-9, 6) and (-3, 9).
∴ Slope(m) of the line is = (9 - 6)/(- 3 + 9) = 3/6 = 1/2.
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Candice is trying to drink more water, so she has been keeping a log of how much water she drinks. Two days ago, Candice drank 32 ounces of water, in comparison to 16 ounces yesterday. What was the percent of decrease in Candice's daily water consumption?
Answer:
I think it's 0.5%
Step-by-step explanation:
16/32 x 100% = 0.5%
Or
Bill write 4 page per hour. I the total number of page written proportional to the number of hour pent writing?
Equation used to represent the relation between the number of pages written to the number of hours used with constant of proportionality is
x = 4y.
As given in the question,
Let us consider number of pages write by Bill be 'x'
And number of hours represented by 'y'
Number of hours used by Bill to write 4 pages = 1 hour
Number of pages written by Bill in 1 hour = 4
Given :
Number of pages is proportional to the number of hours
⇒ x ∝ y
⇒ x = ky
Where 'k' is the constant of proportionality.
When x = 4 , y = 1
substitute the value in the equation,
4 = k(1)
⇒ k = 4
Now the required equation with the constant of proportionality k = 4 is:
x = 4y
Therefore, the required equation to represent the relation between number of pages written to the number of hours used with constant of proportionality is equal to x =4y.
The complete question is:
Bill enjoys writing in his spare time. He writes 4 pages per hour. The proportional relationship between the number of pages written to the number of hours is represented by the equation ______. Write the equation in standard form with a constant of proportionality.
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Determine the equation of the ellipse with foci (-6,-1) and (-6,-7), and co-vertices (-2,-4) and (-10,-4)
The equation of ellipse with foci (-6,-1) and (-6,-7), and co-vertices (-2,-4) and (-10,-4) is [tex]\frac{(x+6)^2}{25}+\frac{(y+4)^2}{16}=1[/tex]
What is equation of an ellipse?
The standard equation of an ellipse centered at (h, k) with a major axis parallel to the x-axis is given by:
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
where the coordinates of the vertex are (h±a, 0), coordinates of co-vertex are (h, k ± b) and the coordinates of foci are (h±c, k), where a² = c² + b².
According to the given question:
Given foci of the ellipse :
(-6, -1) and (-6, -7)
Co-vertices of the ellipse :
(-2, -4) and (-10, -4)
From the given foci and vertices ,
c = -1 - (-7) /2 = 3
b = -2 - (-10) /2 = 4
c² = a² + b²
∴ a² = 3 x 3 + 4 x 4 = 25
( h, k) = (-6 - 6 /2 , -1 - 7 / 2) = (-6, -4)
Equation of the ellipse is given by:
(x - h)²/ a² + (y - k)²/b² =1
(x - (-6))²/ 25 + (y - (-4))²/16 = 1
[tex]\frac{(x+6)^2}{25}+\frac{(y+4)^2}{16}=1[/tex]
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Help please!!!!!!!! I’m confused
Answer:
y = 0
Step-by-step explanation:
x + 2y = 2 ( subtract 2y from both sides )
x = 2 - 2y → (1)
x = - 4y + 2 → (2)
substitute x = 2 - 2y into (2)
2 - 2y = - 4y + 2 ( add 4y to both sides )
2 + 2y = 2 ( subtract 2 from both sides )
2y = 0 , then
y = 0
4.
La abuelita de Pedro quiere hacer tamales para esta navidad.
Ella sabe que para la fiesta de Lupita gastó $170 y pudo hacer 30
tamales de dulce y 20 de rajas. En la fiesta de José gastó $420 para
hacer 40 de dulce y 60 de carne y en otra ocasión con $230 le ajustó
para 20 de rajas y 30 de carne. ¿Cuánto dinero ocupa para hacer 40
tamales de cada uno?
Answer:
Step-by-step explanation:
o.67891
-4/5x = -4 show work and answer pls and I'll give brainliest please hurry
new answer
m +4 13/
new answer
3/5=5/2x
a population mean is 13. the sample mean is 12.8, and the sample standard deviation is two. the sample size is 20. what distribution should you use to perform a hypothesis test? assume the underlying population is normal.
To perform a hypothesis test we use students' t distribution.
What is a hypothesis test?
A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make probabilistic claims regarding population parameters thanks to hypothesis testing.
Here, we have
Given, the population mean is 13. the sample mean is 12.8, and the sample standard deviation is two. the sample size is 20.
We have to find distribution to perform a hypothesis test.
The students t distribution is used when
1- sample size less than 30. Here 20.
2-population standard deviation not given.
3-population is normal.
Hence, we concluded that to perform a hypothesis test we use students' t distribution.
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Will give brainliest to the correct answer!:)
What is the value of the logarithm?
In(81)
Round the answer to the nearest ten thousandth.
Answer: log81 = 1/4
Step-by-step explanation:
Log81^3
81^x = 3
The common base is 3, so
(3^4)^x=3
3^4x = 3^1
4x = 1
x= 1/4
Which is an equation of the line through the origin and (-5, 6)?
The equation of line through the origin and (-5, 6 ) is y = [tex]-\frac{6}{5}x[/tex]
What is slope?The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
the coordinates of the origin is (0, 0) and h other coordinates are (-5, 6)
at x = 0 and y = 0
using the equation of straight line y = mx + c
0 = 0(m) + c
so c = 0
at x = -5, y = 6
6 = -5m +c
but c = 0
6 = -5m
m = -6/5
Equation of line becomes y = -6/5x
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can someone help with this thank you so much .
Answer:
15
Step-by-step explanation:
PLSSSS helpp with these
1. Let f(x)=2x+7 and g(x)=3x^2+2
Find f(g(3))
590
65
5
29
2. Let f(x)=4x and g(x)=(x−2)^2
Find g(f(x))
16x^2-16x+4
16x^2-4
16x^2-12x-4
16x+4
3.Let f(x)=2x+1 and g(x)=−7x+1
Find g(f(2))
-26
20
-34
-35
Answer:
1. D 2. C 3. C
Step-by-step explanation:
On my test
Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for AJKL.
The orthocenter for AJKL is at point N. What is KN rounded to the nearest tenth?
The KN is 21.4 rounded to the nearest tenth.
What is an orthocenter?The orthocenter of a triangle is the place where the perpendicular drawn from the vertices to the opposing sides of the triangle intersect each other. The orthocenter for a triangle with an acute angle is located within the triangle. The orthocenter for a triangle with an acute angle is outside the triangle.
Now we need to find the slope of JL.
From that we have to find the slope of the perpendicular line through B.
Slope of JL= (y₂ - y₁) / (x₂ - x₁)
J (7, 8) and L (5, 2)
here x₁= 7,y₁ = 8, x₂ = 5 and y₂ = 2
= -6 / -2
= 3
Slope of the altitude KM = -1/ slope of JL = -1/3
Equation of the altitude KM : (y - y₁) = m (x -x₁)
Here K(1,2);
(y - 2) = -1/3 (x -1)
(y - 2) = -x/3 +1/3
Now we need to find the slope of JK.
From that we have to find the slope of the perpendicular line through D.
Slope of KL= (y₂ - y₁) / (x₂ - x₁)
J(7,8) and K(1,2)
here x₁= 7,y₁ = 8, x₂ = 1 and y₂ = 2
= 1
Slope of the altitude JO = -1/ slope of JL
= -1
Equation of the altitude JO : (y - y₁) = m (x -x₁):
(y - 8) = -1 (x - 7)
Solving the equation, x = 21 and y = -6
So the orthocenter N is (21 , -6)
Now the distance of KN is = √(21 - 1)² + (-6 -2)²
=√464
= 21.5
Therefore, the KN is 21.5 rounded to the nearest tenth.
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Answer:6.3
Step-by-step explanation:
I got it correct on my test
Vince had 10 weeks to get in shape for a race. The line graph shows how many miles he ran per training session each week.
Answer:
13
Step-by-step explanation:
You take the number of miles from weeks 5-8 and add them up. 2+3+4+4=13
Solve the inequality for z.
z - 3 > 11
Simplify your answer as much as possible.
Answer: z > 14
Step-by-step explanation:
Move 3 to the right
Step 1: we know that angle t s r is-congruent-to angle q r s because all right angles are congruent. step 2: we know that angle t is-congruent-to angle q because it is given. step 3: we know that line segment s r is-congruent-to line segment r s because of the reflexive property. step 4: triangle t s r is-congruent-to triangle q r s because of the asa congruence theorem. of the aas congruence theorem. of the third angle theorem. all right triangles are congruent.
With the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
What is the congruency of triangles?Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.
These triangles can be moved, turned, flipped, and rotated to produce the same appearance.
When moved, they are parallel to one another.
So, we have two sets of angles and one common side.
Review the congruence situations.
SSS ⇒ Three sides in the first, three sides in the second.
SAS: two sides, including the angle of the first side.
Incorporating angle in the second.
2 angles and the side that joins them in the first, according to ASA
Two angles and the side that connects the two angles.
AAS = 2 angles in the first triangle, plus 1 side.
Second, and one side in △.
Let's read the statements again and fill in the blanks.
Step 1: Since all right angles are congruent, mTSR = mQRS = 90°.
Step 2: Since it is given, mT = mQ
Step 3: Due to the reflexive property, SR becomes RS (common side)
Step 4: Because of the AAS congruence theorem, TSR and QRS are required.
Therefore, with the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
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The correct form of a question:
Given: TSR and QRS are right angles; T ≅ Q
Prove: TSR ≅ QRS
Step 1: We know that TSR ≅ QRS because all right angles are congruent.
Step 2: We know that T ≅ Q because it is given.
Step 3: We know that SR ≅ RS is because of the reflexive property.
Step 4: TSR ≅ QRS because __________
a. of the ASA congruence theorem
b. of the AAS congruence theorem
c. of the third angel theorem
d. all right triangles are congruent
Find each measure.
H
5. m/KML
a. 50
b. 90
c. 40
d. 60
Based on the definition of an equilateral triangle, the measure of angle KML is: d 60.
What are the Angle Measures of the Angles of an Equilateral Triangle?An equilateral triangle can be described as a triangle that has three sides that are equal and also equal interior angles that measures 60 degrees each.
The image shows that the three sides of triangle KML are marked equally by three strokes. This shows that the three sides of triangle KML are congruent to each other. Since they are congruent, they have equal length.
Therefore, triangle KML is an equilateral triangle that has interior angles that measures 60 degrees.
Angle KML is an interior angle of the equilateral triangle, therefore:
The measure of angle KML is: d. 60 degrees.
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classifying polynomials -8y
As the given polynomial -8y has only 1 term in is and hence it is classified as a monomial.
What are polynomials?A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
x² 4x + 7 is an illustration of a polynomial with a single indeterminate x.
The quantity of terms allows for the classification (naming) of polynomials.
A polynomial may contain exponents, constants, and variables, but it never divides by a variable.
They may also contain one or more terms, but not an infinite quantity.
The degree can also be used to categorize polynomials (the largest exponent of the variable).
An expression with only one term is called a monomial.
The sole term in an expression needs to be non-zero in order for it to be a monomial.
Therefore, as the given polynomial -8y has only 1 term in is and hence it is classified as a monomial.
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What’s the value of x?
For the given similar triangle the value of x will be 9 inches.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Since the two triangles are similar,
Suppose the unknown side is x,
Since the ratio of the sides of the similar triangles is equal the obtained expression is,
8/6=12/x
x=12×6 / 8
x=9 inches
Thus, for the given similar triangle the value of x will be 9 inches.
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A large university accepts 70% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?
For this we have to calculate 50% of 7,000 which is 3,500
What does a math percent mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
What is the formula for percentage?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
first we have to calculate 70% of 10,000 which is 7,000
Then now we have to calculate 50% of 7,000 which is 3,500
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3(4x+2)=(?)x+( )
Enter the number that goes in the green box
A. y = 11x
B. y = 55x
C. y equals one eleventh times x
D. y equals 1 over 55 times x
Answer:
A. [tex]y=11x[/tex]
Step-by-step explanation:
The graph is linear, meaning it follows the formula [tex]y=mx+b[/tex], where y and x are variables, m is the constant rate that the graph increases by, and b is the y-intercept. The graph is increasing at a rate of 55 calories burned per 5 minutes spent skateboarding, which simplifies to 11 calories per 1 minute, so m is 11. The graph's y-intercept is 0 because it runs through the origin, and there's no point in writing "11x + 0" so it's just "y = 11x"
ok so i did this twice but got wrong answer need help with this one rq
By solving an inequality, we will see that option a is cheaper for more than 60 miles.
For what number of miles is option A better?We know that option A charges $25 per day plus $0.15 per mile, so the cost for x miles is given by the linear equation:
A(x) = $25 + $0.15*x
While for option B the fixed cost is $10 and the cost per mile is $0.40, so the cost equation is:
B(x) = $10 + $0.40*x
The cost of option a will be smaller when:
$25 + $0.15*x < $10 + $0.40*x
$25 - $10 < $0.40*x - $0.15*x
$15 < $0.25*x
$15/$0.25 < x
60 < x
So for 60 miles the cost is the same, for x > 60 miles the cost of option a will be smaller (because the slope is smaller).
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Given the figure below, find the values of x and z.
(10x + 55)
N
O
(5x + 50)
you tossed a coin 100 times and get only 27 heads. do you have a reason to expect that the coin is unfair? explain g
Therefore, coin is unfair ,It is true that the coin can be considered unfair.
What is probability ?Calculating or estimating how likely or "possible" something is to occur is the subject of probability. Words like "certain," "impossible," or "probable" can be used to express the likelihood of an event occurring. Probabilities in mathematics are always expressed as fractions, decimals, or percent with values ranging from 0 to 1.
Here,
Step 1: We see that a coin is tossed 100 times, but we only receive heads 27 times.
In other words, the odds of a head are 27/100 or 0.27.
It is thought that there will be an equal number of heads and tails on a fair coin (or very close, if not equal).
So, using a fair coin:
P(H)=P(T)=0.5
Step 2
But in this instance, P(H)=0.27, which is a long way from 0.5.
Therefore, coin is unfair.
It is true that the coin can be considered unfair.
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tim buys a torch and a battery. the torch costs 11 times as much as the battery. tim pays with a £10 note and gets £4.84 change how much does the battery cost?
Answer:
43 p
Step-by-step explanation:
total cost = 10 - 4.84 = 10.00 - 4.84 = £5.16
b + t = 5.16
t = 11b
b + 11b = 5.16
12b = 5.16
12 / 12 b = 5.16/12
b = £0.43
A farm currently has 10 large male cattle. The farmer adds a pregnant rabbit to increase the livestock population. The novice farmer estimates that her rabbit population will double in size every month. Including the 10 cattle, how many animals will the farmer have after 7 months?
The number of animals will the farmer have after 7 months including the 10 cattle are 1280.
Explain the term rate of population growth?The country, territorial, or territorial area's average yearly rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and indeed the overall population for that year.For the stated question-
There are ten huge male cattle on a farm right now. In order to boost the number of animals, the farmer brings in a pregnant rabbit. The inexperienced farmer expects her rabbit population to double each month.Thus, number of animals after years;
= 10 x 2⁷
= 1280
Thus, number of animals will the farmer have after 7 months including the 10 cattle are 1280.
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To earn a "C" in Probability, Sam must get a grade average of at least 70%.
Sam's test scores are 62, 71, and 65. His final exam score counts as 3 test
scores in the average. What is the minimum score Sam needs to get on his
final exam to get a "C" in the course?
The minimum score Sam needs to get on his final exam to get a "C" in the course is 82.
What is a probability?
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
Given that, Sam's test scores are 62, 71, and 65.
The total score in three test is (62 + 71 + 65) = 198
Assume that, he scored x in the final test.
Total score of Sam is 198 + x.
He needs to score 70% means he needs to score 70 out of 100.
According to question,
(198 + x)/ 400 ≥ 70/100
Multiply both sides by 100:
(198 + x)/ 4 ≥ 70
Multiply both sides by 4
198 + x ≥ 280
x ≥ 280 - 198
x ≥ 82
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