Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
What is the answer for x²+9x-10
It takes Jesse 2/3 hour to mow her backyard. How much of the yard will be mowed after 1/4 hour?
devide 2/3 to 1/4 to get theanwser
Step-by-step explanation:
At a bakery the ratio of the number of pies to the number of cakes was 8:3 what is the fraction of the number of cakes to the number of pies?
Answer:
8/3
Step-by-step explanation:
Its simple, you are just taking the ratio and instead of the : ur putting a fraction. So it would be 8/3
HELP URGENT WHATS THE ANWSER
Answer:
-3,-1
Step-by-step explanation:
The point where they intersect is -3,-1
Hope this helps :D Please mark brainliest if correct :D
Answer:
it's going to be 3,3 is the answer
volume of a sphere = ³, where ris 3 ㅠ the radius. Titanium has a density of 4.506 g/cm³. How many kilograms would a sphere of titanium with a radius of 11 cm weigh? Give your answer to 1 d.p.
After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
what is radius?In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.
The formula for the volume of a sphere of radius "r" is:
V = (4/3)πr³
Substituting the specified radius value (r = 11 cm), we get:
V = (4/3)π(11)³ \sV = 5575.279 cm³
Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:
Density = Volume Weight
Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3
When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:
The weight is 25.121811974 kg.
As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).
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Name the other 3 angles that are also 23 degrees
The other angles that are equal 23° are angle 2, 4, 6.
EXPLANATION
Given:
m<8 = 23°
m<1
m<1 + m<8 = 180° ( Consecutive angles are supplementary).
m<1 + 23° = 180°
Subtract 23° from both-side of the equation.
m<1 = 180° - 23° =157°
Hence, m<1 = 157°
m<2
m<1 + m<2 = 180° ( angles on a straight line)
157° + m<2 = 180°
Subtract 157° from both-side of the equation.
m<2 = 180° - 157°
m<2 =23°
m<3
m<3 + m<2 = 180° (angle on a straight line)
m<3 = 180° - 23° = 157°
Hence, m<3 = 157°
m<4
m<4 = m<2 = 23° ( Vertical angles are congruent).
Hence, m<4 = 23°
m<5
m<5 = m<3 = 157° (Alternate interior angle)
Hence, m<5 = 157°
m<6
m<6 = m<4 = 23° (Alternate interior angle).
Hence, m<6 = 23°
m<7
m<7 = m<5 = 157° ( vertical angles).
Hence, m<7 = 157°
Therefore, the other angles that are equal 23° are angle 2, 4, 6.
Use the laws of Sines and law of cosines to find missing dimensions
9514 1404 393
Answer:
11. inconsistent information
12. 26°
Step-by-step explanation:
11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)
__
12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.
b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871
b ≈ 29.513
Then angle C is found from the Law of Sines.
C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°
Angle C is about 26°.
The second attachment shows the output of a triangle solver.
ur answer as a polynomial in standard form.=f(x) = 5x + 1g(x) = x2 – 3x + 12=Find: (fog)(x)
(fog)(x) = 5x² - 15x + 61
Explanation:The given functions are:
f(x) = 5x + 1
g(x) = x² - 3x + 12
(fog)(x) = f(g(x))
This means that we are substituting g(x) into f(x)
(fog)(x) = 5(x² - 3x + 12) + 1
(fog)(x) = 5x² - 15x + 60 + 1
This can be further simplified as:
(fog)(x) = 5x² - 15x + 61
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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The data given below consists of the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12. Find the z-score corresponding to the median of school allergies. You may use your calculator to find the mean and standard deviation.
Answer:
z -score = 0.0459
Step-by-step explanation:
Given that:
the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.
The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.
Mean = sum of the sample/ total number of the sample
Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25
Mean = 219/25
Mean = 8.76
Standard deviation = \(\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}\)
Mean (in order )= 1, 3,5,5,5,6,6,7,7,8,8,9,9,9,9,9,10,10,11,11,12,13,14,14,18)
Standard deviation = \(\sqrt{\dfrac { (8.76 - 1)^2}{25} + \dfrac { (8.76 - 3)^2}{25} +\dfrac { (8.76 - 5)^2}{25} +...+ \dfrac { (8.76 - 18)^2}{25} }\)
Standard deviation = 5.2174
The standard z score formula is:
\(z = \dfrac{X- \mu}{\sigma}\)
where X = median (13th observation ) = 9
\(z = \dfrac{9- 8.76}{5.2174}\)
\(z = \dfrac{0.24}{5.2174}\)
z -score = 0.0459
Laura used 2 3/4 gallons of gas on Saturday and 1 2/3 gallons of gas on Sunday. How many more gallons of gas did she use on Saturday
Answer:
1 /1/12 gallons of gas.
Step-by-step explanation:
2 3/4
1 2/3
Find the common denominator: 12
33/12
20/12
33 - 20 = 13
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
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The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
How to solve: 24 - (5 + 3)^2 + 4 × 2^3 step by step.
The value of the exponent given as 24 - (5 + 3)^2 + 4 × 2^3 is -8.
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, the value given will be expressed thus:
= 24 - (5 + 3)^2 + 4 × 2^3
= 24 - (8)² + 4 × 8
= 24 - 64 + 32
= -8
The value is -8.
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x + y = 10 is this a linear function or not?
x + y = 10
The given equation represents the equation of the line in the stander form
because the power of both of x and y is one
Also, if we graph the given equation , we will find it a line
See the following image:
So, x + y = 10 is a linear function
need help please and I have more questions on the same topic like this .
Answer 1 1/4
Step-by-step explanation:
You can get this by finding 3/4 on the line plot and counting the x's. Then you must add the 3 x's which means 3 of 3/4 and sum is your answer. Be sure to change improper to proper fraction. 9/4 to 1 1/4.
Calculate simple interest and compound interest assuming that principal amount is $ 10,000; interest rate is 9% for three years. What is the amount different between compound and simple interest?
Step-by-step explanation:
Please mark me as brainlyest
PLEASE HURRY In order to solve the system of equations below, Juana multiplies each equation by a constant to eliminate the y terms.
4x-3y = 1
5x+4y=9
What are the resulting equations?
16x-12y - 4
15x+12y - 27
16x-12y=-4
15x+12y = 27
16x-12y=-4
15x-12y = 27
Answer:
16x -12y = 4
15x +12y = 27
Step-by-step explanation:
4x-3y = 1
5x+4y=9
We will use elimination to remove y from both equations.
We can multiply the first equation by 4
16x -12y = 4
and multiply the second equation by 3
15x +12y = 27
This will eliminate y from the system of equations, leaving only x as a variable.
Answer:
16x - 12y = 4
15x + 12y = 27
Step-by-step explanation:
In order to eliminate the y terms, the equations must be manipulated in order to make the coefficient of the y-term equal 0 when the equations are added.
In this case, we are trying to make one equation with -3y and another equation with 4y result in a single equation with 0y.
We can do this by multiplying the first equation by 4 and the second equation by 3 to result in -12y and 12y. When these are added, the sum is 0y.
4 * (4x - 3y = 1) = 16x - 12y = 4
3 * (5x + 4y = 9) = 15x + 12y = 27
The resulting equations are
16x - 12y = 4
15x + 12y = 27
Aaliyah has x nickels and y pennies. She has a minimum of 20 coins worth no more than $0.40 combined. Solve this system of inequalities graphically and determine one possible solution.
Answer:
\((x,y) = (5,15)\)
Step-by-step explanation:
Given
\(Nickels = x\)
\(Pennies = y\)
Minimum of 20 coins means:
\(x + y \ge 20\)
A nickel worth $0.05
A penny worth $0.01
So, the worth can be represented as:
\(0.05x + 0.01y \le 0.40\)
See attachment for graph
From the attachment, the solution is:
\((x,y) = (5,15)\)
what is the the measure of each base angle of an isosceles triangle if it’s vertex angle measure is 44°?
An isoceles triangle has one vertex angle and two congruent base angles, that is,
can anyone help me i dont understand this
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (4 points) Question 3 options: 1) (0, 0) 2) (10, −5) 3) (5, 10) 4) (10, 5)
Answer:
3) (5, 10)
Step-by-step explanation:
d + e = 15
-d + e = -5
e = -5 + d
substitude e for -5 + d
d + -5 + d = 15
2d = 10
d = 5
figure out e
5 + e = 15
e = 10
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
Help me please!
I need to type the word but I don’t know what it is
Answer: Exponential Function
Step-by-step explanation: This is a(n) exponential function becuase each input is going at a constant rate of x^2 which is an exponent. Meaning the output is squared by the given number (which is x).
Make me brainliest if it is right.
what is 3 divided by 4
show your work
Answer:
0.75
Step-by-step explanation:
Answer:
3/4= 0.75
Step-by-step explanation:
4 can be divided into 3 parts but it will be lower than 1.
think of it this way, there are 4 groups and you have to divide 3 things equally into the 4 groups.
because you can't do a whole number, it will be a decimal.
3/4=0.75
Deandre's chocolate bar is 53% cocoa. If the weight of the chocolate bar is 69 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
The grams of cocoa does it contains is 36.57 grams
How many grams of cocoa does it contains?From the question, we have the following parameters that can be used in our computation:
Weight of the chocolate bar = 69
Proportion = 53%
This implies that
Grams of cocoa = weight of the chocolate bar * Proportion
Substitute the known values in the above equation, so, we have the following representation
Grams of cocoa = 53% * 69
Evaluate the products
Grams of cocoa = 36.57
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Ahmed multiplies 8 by 1.15. Which number he is trying to find?
Answer:
9.2
Step-by-step explanation:
8×1.15 = 9.2
I think..
Question:
Ahmed multiplies 8 by 1.15. Which number is he trying to find?
______________________________________________
Solution:
On multiplying 8 by 1.15, we get,
= 8 * 1.15
= 1¹ . 1⁴ 5
* 8
9 . 2 0
To the power 1 and 4 show that 1 and 4 carried over.
Hence the number he is trying to find is 9.20 or 9.2.
Which shapes are similar but not congruent to shape 1
There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.
There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.
One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.
A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.
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Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Answer:
stocks: $45000bonds: $55000CDs: $45000Step-by-step explanation:
You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.
SetupWe can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...
s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50SolutionThese equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.
We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...
stocks: $45000bonds: $55000CDs: $45000__
Additional comment
Using b = c +10000, the two remaining equations are ...
s +2c = 1350000.067s +0.0825c = 6727.50<95141404393>