Answer:
Question 3: 5
Question 4: 91
Step-by-step explanation:
[tex](x+5)2-y[/tex]
[tex]x = -2[/tex]
[tex]y =1[/tex]
[tex](-2 + 5)2 - 1[/tex]
[tex](3)2-1[/tex]
[tex]6-1 = 5[/tex]
[tex]3x +4y^2[/tex]
[tex]x = -3[/tex]
[tex]y=5[/tex]
[tex]3(-3)+4(5)^2[/tex]
[tex]-9 + 100[/tex]
[tex]=91[/tex]
a farmer sells 7.2kilograms of pears and apples at a farmers market . 3/5 of this wirght is pears, and the rest is apples . how many kilograms of apples did she sell at the farmers market
The farmer sold 3.6 kilograms of apples at the farmers market.
To find the weight of apples the farmer sold at the farmers market, we need to subtract the weight of pears from the total weight.
We have,
3/5 of the weight is pears, the weight of pears
= (3/5) x 7.2 kilograms.
= 3.6 Kg
Since the remaining weight is apples, we can calculate the weight of apples by subtracting the weight of pears from the total weight:
Weight of apples = Total weight - Weight of pears
= 7.2 - 3.6
= 3.6 kilograms
Therefore, the farmer sold 3.6 kilograms of apples at the farmers market.
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Use the law of cosines to find one angle and the law of sines to find a second angle. Then use either rule or other rules from geometry to calculate the third angle. Angles may be calculated in radians or degrees. All sides are 7.5 inches.
The value of all three angles, A , B and C is 60°
Using the cosine Rule :All sides , a,b, and c are 7.5 inches
From Cosine Rule :
CosA = (b² + c² - a²)/(2bc)
CosA = (7.5² + 7.5² - 7.5²)/(2 × 7.5 × 7.5)
CosA = 56.25/112.5
CosA = 0.5
A =
[tex] {cos}^{ - 1} (0.5) = 60[/tex]
Using Sine RuleFrom Sine Rule a/sinA = b/sinB
7.5/Sin60° = 7.5/SinB
cross multiply
7.5SinB = 7.5(Sin60°)
sinB= 6.495/7.5
SinB = 0.866
B =
[tex] {sin}^{ - 1} (0.866) = 60[/tex]
Using the Sum of Triangle RuleA + B + C = 180
60 + 60 + C = 180
C = 180 - 120
C = 60°
Therefore , all three angles A,B and C are 60° each.
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Please help mee...
Please help make a pie chart from this data,,, It really really really helpful for me...please!!!! I'll give you Brainliest...
Btw I'm from Indonesia
If you answer incorrect,, and just play me I'll block and report you!
The pie chart for the data is given below.
To create a pie chart from the given data, we first need to determine the percentage of each score in relation to the total frequency. Here's the calculation:
Score Frequency Percentage
60 2 (2/24) x 100 = 8.33%
63 2 (2/24) x 100 = 8.33%
65 1 (1/24) x 100 = 4.17%
67 1 (1/24) x 100 = 4.17%
71 1 (1/24) x 100 = 4.17%
72 1 (1/24) x 100 = 4.17%
73 2 (2/24) x 100 = 8.33%
74 2 (2/24) x 100 = 8.33%
75 2 (2/24) x 100 = 8.33%
76 1 (1/24) x 100 = 4.17%
78 1 (1/24) x 100 = 4.17%
79 2 (2/24) x 100 = 8.33%
80 1 (1/24) x 100 = 4.17%
81 2 (2/24) x 100 = 8.33%
82 1 (1/24) x 100 = 4.17%
84 1 (1/24) x 100 = 4.17%
85 1 (1/24) x 100 = 4.17%
87 1 (1/24) x 100 = 4.17%
88 1 (1/24) x 100 = 4.17%
89 1 (1/24) x 100 = 4.17%
90 1 (1/24) x 100 = 4.17%
92 1 (1/24) x 100 = 4.17%
94 1 (1/24) x 100 = 4.17%
Now, we can use this information to create a pie chart. The chart will have 24 segments, each representing one score. The size of each segment will correspond to the percentage calculated above.
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PLEASE SOLVE. I MARK YOU BRaINALIST
The force of gravity on the rocket is 30 N/kg, the mass of the rocket stays constant while its weight varies
What is force of gravity?The force of gravity is the force exerted on an object by the earth or a planet.
Given that the force of gravity on an object when it is launched is 30 N/kg. This is three times larger than Earth's gravity. To determine what happens to the mass and weight of the object when gravity is 30 N/kg, we proceed as follows.
We know that weight, W = mg where
m = mass of object and g = gravitySince gravity g = 30 N/kg, we have that
W = mg
= m × 30 N/kg
= 30m
Now, we know that mass is an intrinsic property and weight is an extrinsic property. This means that the mass of the object is constant but its weight can change based on the object's position and depends on the amount of mass.
So, since the force of gravity on the rocket is 30 N/kg, the mass of the rocket stays constant while its weight varies
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The population of a city after t years is given by P(t)=36,442e0.042t,
where t=0
corresponds to the current year.
How many years from the current year will it take for the population of the city to reach 75,000
?
Round to the nearest hundredth of a year.
Answer:
[tex]36442 {e}^{.042t} = 75000[/tex]
[tex]t = 17.18 \: years[/tex]
A blood bank needs 8 people to help with a blood drive. 19 people have volunteered. Find how many different groups of 8 can be formed from the 19 volunteers.
75,582 different groups of 8 can be formed from the 19 volunteers.
In this case, we want to calculate C(19, 8), which represents the number of ways to choose 8 volunteers from a set of 19 volunteers.
The formula for combinations is given by:
C(n, r) = n! / (r!(n-r)!)
Using this formula,
C(19, 8) = 19! / (8!(19-8)!)
C(19, 8) = 19! / (8!11!)
C( 19, 8) = 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 / 8 x7 x6 x 5x 4 x 3 x 2
C( 19, 8) = 75,582
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Consider polygon ABCD, shown below.
B
C
E
A
G
F
D
Select all the ways that describe rigid transformations that take AEFD to CFEB.
The option that describes the rigid transformation that take AEFD to CFEB are:
Rotate AEFD 180 degrees counterclockwise around point GRotate AEFD 180 degrees clockwise around point G.What does it mean to rotate shape 180°?To rotate a form 180°, turn it about its center point such that it faces the opposite way. This is accomplished by tracing the form on a sheet of paper and then folding it in half so that the two sides of the shape line up. The form is now rotated 180 degrees.
A rigid transformation (also known as a Euclidean transformation or Euclidean isometry) in mathematics is a geometric transformation of a Euclidean space that retains the Euclidean distance between each pair of points.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Rewrite the following in the form log(c). 2log(5)
The expression 2log(5) can be rewritten as log(25) in the form log(c), representing the Logarithm to the base 10 that yields the value 25.
The expression 2log(5) in the form log(c), we can use the logarithmic property that states:
nlog(b) = log(b^n)
Applying this property, we can rewrite 2log(5) as:
2log(5) = log(5^2)
Simplifying further, we have:
2log(5) = log(25)
Therefore, the expression 2log(5) can be written in the form log(c) as log(25).
The logarithmic function log(c) represents the exponent to which a given base must be raised to obtain the value c. In this case, log(25) represents the exponent to which the base 10 must be raised to obtain the value 25.
In summary, the expression 2log(5) can be rewritten as log(25) in the form log(c), representing the logarithm to the base 10 that yields the value 25.
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100 Points! Algebra question. Sketch the angle. Then find its reference angle. Show your calculations. Photo attached. Thank you!
Answer:reference angle shoudl be 156 degrees srry if im wrong :)
Step-by-step explanation:
Is the data set approximately periodic?
If so, what are its period and amplitude?
Hour
Number of cars
1 2 3
4
5
6
7 8 9 10 11 12
52 76 90 75 91 104 89 105 119 103 121 135
The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.
How to explain the valueThe period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.
Hour | Number of cars
------- | --------
1 | 90
2 | 52
3 | 76
4 | 75
5 | 91
6 | 104
7 | 89
8 | 105
9 | 119
10 | 103
11 | 121
12 | 135
As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.
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figure A is a dilated from point E the center of dilation which figure is a dilation of figure A
A figure that is a dilation of figure A include the following: B. figure C.
What is a dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.
In this context, we can reasonably infer and logically deduce that both figure A and figure C are congruent to figure E because they all share a common center of dilation.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Here are the first five terms of a number sequence. 23 20 17 14 11 (a) Write down the 8th term of this sequence. *********
The 8th term of the sequence is 2.
To find the 8th term of the given number sequence, we can observe that the sequence is decreasing by 3 with each term.
Starting from the first term, which is 23, we subtract 3 repeatedly to get the subsequent terms:
23 - 3 = 20
20 - 3 = 17
17 - 3 = 14
14 - 3 = 11
We can see that each term is obtained by subtracting 3 from the previous term.
To find the 8th term, we continue this pattern:
11 - 3 = 8
8 - 3 = 5
5 - 3 = 2
Therefore, the 8th term of the sequence is 2.
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The volume of a right cone is 2325
�
π units
3
3
. If its radius measures 15 units, find its height.
The height of the cone in this problem is given as follows:
h = 16.4 units.
How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
The parameters for this problem are given as follows:
V = 2325 π, r = 15.
Hence the height is obtained as follows:
2325 = π x 15² x h/3
h = 2325 x 5/(15² x π)
h = 16.4 units.
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Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
Write the polynomial as the product of linear factors and list all the zeros of the function:
f(x) = x^4 - 16
[tex]a^2-b^2=(a-b)(a+b)[/tex]
Therefore
[tex]f(x)=x^4-16\\f(x)=(x^2-4)(x^2+4)\\f(x)=(x-2)(x+2)(x^2+4)[/tex]
[tex](x-2)(x+2)(x^2+4)=0\\x=2 \vee x=-2[/tex]
Is the following a statistical question?
How expensive are homes in your neighborhood?
yes
No
Answer:
YES
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x3 − 3x2 − 9x + 3
The interval on which f(x) is increasing is (-∞, -1) and (3, ∞).
To find the interval on which the function f(x) = x³ - x² - 9x + 3 is increasing, we need to determine where the derivative of the function is positive.
First, let's find the derivative of f(x):
f'(x) = 3x² - 6x - 9
3x² - 6x - 9 = 0
3(x - 3)(x + 1) = 0
x - 3 = 0 or x + 1 = 0
x = 3 or x = -1
These are the critical points of the function.
Let's test a value from each interval:
For x < -1, let's use x = -2:
f'(-2) = 3(-2)² - 6(-2) - 9 = 12 + 12 - 9 = 15 > 0
For -1 < x < 3, let's use x = 0:
f'(0) = 3(0)² - 6(0) - 9 = -9 < 0
For x > 3, let's use x = 4:
f'(4) = 3(4)² - 6(4) - 9 = 12 - 24 - 9 = -21 < 0
From these test values, we can see that f(x) is increasing on the interval (-∞, -1) and (3, ∞).
Therefore, the interval on which f(x) is increasing is (-∞, -1) and (3, ∞).
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What is one over two to the fifth power?
Answer:0.03125
Step-by-step explanation:
GOO*OOGLE
Step-by-step explanation:
(1/2)^5 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
Area and perimeter of a circle with a 13 ft radius
Answer:
Step-by-step explanation:
area of a circle = πr²
perimeter of a circle = 2πr
all we have to do is substitute the value into the formula:
area of this circle = 22/7 × 13² = 531.14 ..
perimeter of this circle = 2 × 22/7 × 13 = 81.71 ..
hope this helps!
HELP IMAGE ATTACHED ANSWER FAST!! 6) Match the equations to the lines below:
Answer:
Step-by-step explanation:
In order from top to bottom:
3
2
1
4
[tex]x-\frac{1}{2} =\sqrt\frac{1}{4} x[/tex]
The value of the expression is 1.
Given is an expression we need to solve it,
x - 1/2 = √1/4 x
x - 1/2 = 1/2 x
x - 1/2 x = 1/2
1/2 x = 1/2
x = 1
Hence the value of the expression is 1.
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Find the surface area of a cylinder with a height of 9 ft and diameter of 4
Answer:50.2654812288
Step-by-step explanation:
The two circles :
Sa = πr²
= π x 2²
= 12.5663706144
= 12.5663706144 x 2
= 25.1327412288
The rectangle :
C x h = 2πr
= 25.13274
= 25.13274 + 25.1327412288
= 50.2654812288
Step-by-step explanation:
50.2654858683848
because it is equivalent to this. Also I can tutor you
If you roll a die, what is the probability of not
rolling a 4? Write your answer as a fraction.
Step-by-step explanation:
NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6
or 5 / 6
¿Cual es la longitud del lado de un cuadrado de ´área 441 cm2 ?
Answer:21 cm.
Step-by-step explanation:
Para encontrar la longitud del lado de un cuadrado con un área de 441 cm², podemos usar la fórmula del área de un cuadrado.
El área de un cuadrado se calcula elevando al cuadrado la longitud de uno de sus lados, es decir, A = L², donde A es el área y L es la longitud del lado.
Dado que el área del cuadrado es 441 cm², podemos escribir la ecuación:
441 = L²
Para encontrar L, podemos tomar la raíz cuadrada de ambos lados de la ecuación:
√441 = √L²
21 = L
Por lo tanto, la longitud del lado de un cuadrado con un área de 441 cm² es de 21 cm.
Find the average value of f(x)=……..
The average value of the function over the interval is 0
Finding the average value of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = √(49 - x²)
The interval is given as
From x = 0 to x = 7
The function is a square root function
Calculating f(0) and f(7), we have
f(0) = √(49 - 0²) = 7
f(7) = √(49 - 7²) = 0
Next, we have
Average value = (7 * 0 + 0 * 7)/(0 + 7)
Evaluate
Average value = 0
Hence, the average value is 0
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What types of angles are angle 4 and angle 6 ?
Answer:
same side interior
Step-by-step explanation:
they are on the SAME SIDE as the transversal (diagonal line) which means that they can't be alternate. also, they are inside (interior) of the two horizantal parallel lines. this means that they must be same side interior
75% of what number is 18?
Answer: So the number is 24.
Step-by-step explanation:
I need help with this as well please same thing
The length of the variable are as follows;
x = 27.4 units
y = 12.7 units
How to find the variables in the tangent, secant and chord?When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.
Therefore,
5(x + 5) = 6(21 + 6)
5x + 25 = 126 + 36
5x + 25 = 162
5x = 162 - 25
5x = 137
x = 137 / 5
x = 27.4 units
Let's find variable y as follows;
If a secant and a tangent are drawn to a circle from the same external point, the product of the length of the secant and its external segment equals the square of the tangent segment.
Therefore,
y² = (21 + 6)6
y² = 27 × 6
y² = 162
y = √162
y = 12.7279220614
y = 12.7 units
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Y=x-5
x+y=-1
What is the solution to the system of equations
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x - 5
x + y = -1
To solve the given system of equations, we can use the method of substitution.
That is, you can replace y with ( x - 5 ).
x + y = -1
x + (x - 5 ) = -1
x + x - 5 = -1
Combine like terms.
2x - 5 = - 1
Add 5 to both sides.
2x = - 1 + 5
2x = 4
Divide both sides by 2.
x = 2
And now let us find the value of y by replacing x with 2.
y = x - 5
y = 2 - 5
y = -3