SOLUTION:
Case: Interpreting from tables
The total number of pets is 20
Checking the options
Option A.
One-fourth of the pets are cats
\(\frac{1}{4}\times20=5\text{ }pets\)This is TRUE from the table
Option B
Snakes represent 10% of the pets on the farm
\(\begin{gathered} 10\%\times20 \\ \frac{10}{100}\times20=2\text{ }pets \end{gathered}\)This is FALSE from tables as there is only 1 snake
Option C
The number of biirds and snakes on the farm make up 20%
\(\begin{gathered} 20\%\times20 \\ \frac{20}{100}\times20=4\text{ }pets \end{gathered}\)This is TRUE from the table
Option D
More than half of the pets on the farm are dogs
\(\frac{1}{2}\times20=10\text{ }pets\)This is TRUE from the table
find the slope, also in y=mx+b
Answer:
y=3x+(-4
Step-by-step explanation:
when it zero you can easily get the starting point so it -4
and i notice it 3 because 3×2 equals 6-4 equals 2
two angles are supplementary if the sum of their measures is 180 degress. Find two supplementary angles such that the larger angle is 76 degrees more than 2 times the smaller angle.
Answer:
Step-by-step explanation
larger angle = 76+2x
smaller angle = x
supplementary angles add up to 180
∴(76+2x)+x=180
76+3x=180
3x= 180-76
3x = 104
x = 104/3
x = 34.7°(smaller angle)≈ 35
larger angle = 76+2(34.7)
=76+69.4
=145.4≈ 145
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Convert the decimal 0.65 to a fraction in its lowest terms.
Answer:
The correct fraction is 13/20.
Step-by-step explanation:
\(.65 = \frac{65}{100} = \frac{13}{20} \)
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
If 4A=5B and 6B=7C, find A:B.C
Answer:
A:B:C = 35:28:30
Step-by-step explanation:
(Idk if it is the correct process but I remember doing it like this)
First...
4A = 5B
or, A/B = 5/4
= 5×7/4×7
= 35/28
Next...
6B = 7C
or B/C = 7/6
= 7×5/6×5
= 28/30
(Since there are two Bs which are 4 and 7, we divided it like 4×7 and 7×4 so they would be equals since both Bs should have same value. So we need to divide both denominator and numinator with same number.)
so...
A:B:C = 35 : 28 : 30
What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4
Answer:
4
Step-by-step explanation:
The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.
Answer: 4
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.
Now, notice that there are two numbers that appear in the middle.
I have underlined them above.
When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.
So the median of the given data set is 4.
what is the distance of an object traveling with a speed of 10m/s in 2 seconds
What are the solutions to the equation 3x2 + 10x = 8
Answer:
(3x-2)(X+4)
X=2/3,-4
Step-by-step explanation:
3x^2 + 10x = 8
3x^2+12x-2x-8=0
3x(X+4)-2(X+4)=0
(3x-2)(X+4)=0
X=2/3,-4
So the solution is 2/3,-4
The terminal side of angle θ intersects the unit circle in the first quadrant at x=8/21. What is the value of secθ?
The value of the secθ for the unit circle in the first quadrant is 21/8.
What are terminal angles?The terminal sides coincide at the same angle whether the angles are rotated clockwise or anticlockwise. A ray's rotation around its starting point is quantified by an angle. The starting side of that angle refers to the original beam, and the terminal side denotes the ray's final position following its rotation.
Given The terminal side of the angle, θ intersects the unit circle in the first quadrant at x=8/21
which means cosθ = 8/21
and we know secθ is the inverse of cosθ
so secθ = 1/cosθ
and the unit circle in the first quadrant so the value of secθ will be positive.
secθ = 1/(8/21)
secθ = 21/8
Hence the value of secθ is 21/8.
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PLZ HURRY IT'S URGENT!!!
What is the linear inequality shown in the graph?
options:
y≥2x−4
y 2x−4
Answer:
option 1
Step-by-step explanation:
hope that helps you :)
Answer:
y>/ 2x -4
Step-by-step explanation:
This >/ means the line underneath
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
2y = 4x - 12
Find the x and the y intercept of the line.
Xavier earns a yearly salary of $16,500. If he gets a raise or $110 per month, what is the percent of increase
Answer
approximately 0.0067
Step-by-step explanation:
If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.
An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2
weeks? y = a(b)
Answer:
65,536 kg
Step-by-step explanation:
What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
A bag contains 2 white balls and 3 black balls .A second bag contains 3 white balls and 2 black balss.Two balls are drawn at random after the other from the first bag and placed in the second bag.Calculate the probability that the 2 balls are both white.
Answers to unit 1 geometry angle relationships
The answers of the geometry exercise are :
1.) x = 25° ;
2.) x = 129°
3.) x = 73° ; y = 107° ; z = 73°
4.) s = 167°
5.) s = 52°
6.) M1 = 109° ; M2 = 79°
7.) M2 = 84°
What is Geometry?The branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
1.) As, from the figure (1) the given angle is right angled
Then,
x° + 65° = 90°
x = 90° - 65°
x = 25°
2.) In second figure we get the relation of linear pair
Thus,
51 + x= 180
x=180-51
x= 129°
3.) y = 107° (Vertically opposite angles)
x+ 107 = 180 (Linear pair)
x = 180- 107
x= 73
z = x = 73 (Vertically opposite angles)
4.) Let second angle be x
(x + 13) = 180 (Supplementary angles sums up to 180°)
x = 180 - 13
x = 167°
5.) Let second angle be y
y+ 38 = 90 (Complementary angles sums up to 90°)
y= 90 - 38
y = 52
6.) m<1 + m<2 = 180 (Linear pair)
(5x + 9) + (3x + 11) = 180
5x + 9 + 3x + 11 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 20°
<1 = (5(20) + 9) = 100 + 9 = 109°
<2 = (3(20) + 11) = 60 + 11 = 71°
7.)<1 = <2 (vertical angles are equal)
(17x + 1) = (20x - 14)
17x - 20x = - 14 - 1
-3x = - 15
x = 5
<2 = (20(5) - 14) = 100 - 14 = 84°
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Zoom in to see the question better. Would really appreciate it if someone helped fast thanks!
Answer:
congruent angles
Step-by-step explanation:
Can I have some days free because I really am struggling with math these days and I have no money
Please
God loves you
Which choice is equivalent to the product below?
√14•√10
A. 2√35
B. 4√7
C. 35
D. 4√35
a triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square centimeters. find its slant height.
PLEASE ANSWER ASAP
Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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Unsure how to solve this
To determine the number of ways the car can be ordered with regard to these options, we can use the multiplication principle of counting. We will count the number of options for each feature and multiply them together.There are 7 colors, so there are 7 options for the first feature.
There are 2 options for air conditioning (with or without).
There are 2 options for a sunroof (with or without).
There are 2 options for automatic transmission (with or without).
There are 2 options for antilock brakes (with or without).Using the multiplication principle, we can multiply the number of options for each feature together to get the total number of ways the car can be ordered:7 x 2 x 2 x 2 x 2 = 112Therefore, the correct answer is 112.
For the functions f(x) = 7x + 4 , h(x) =10/x− 3 and g(x) = 3x − 2
Evaluate
g(4)
h{g(4)}
f-1 (11)
Answer:
g(4) = 10
f⁻¹(11) = 1
h{g(4)} =
if h(x) = (10/x) – 3 = 7
if h(x) = 10/(x – 3) = 10/7
____________
f⁻¹(x) = (x - 4) / 7
What is the equation of the line that passes through the point (7,6) and has a slope of 0
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
Given,
The points which the line passes, (x₁, y₁) = (7, 6)
Slope of the line, m = 0
We have to find the equation of the line:
We know that,
y - y₁ = m(x - x₁)
So,
y - 6 = 0(x - 7)
y - 6 = 0
y = 6
That is,
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
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PLSS HELP I NEED THIS
Answer:
t = kp, i think
What are the coordinates?
Answer:
I believe it's the last option, (-1/4, 5/8)
Step-by-step explanation:
Have a good day! :)
What is the area of a sector with a central angle of 130° and a diameter of 5.6 in.?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
___ in²
Step-by-step explanation:
The first step is to find the radius of the circle, which is half the diameter:
r = 5.6/2 = 2.8 inThe area of the entire circle is:
A = πr² = 3.14 x 2.8² = 24.616 in²To find the area of the sector, we need to multiply the area of the whole circle by the fraction of the circle represented by the central angle. Since the central angle is 130° out of 360° (a full circle), the fraction of the circle represented by the sector is:
130/360 = 13/36Therefore, the area of the sector is:
A = (13/36) x 24.616 = 8.912 in²Rounding to the nearest hundredth, we get:
A ≈ 8.91 in²Therefore, the area of the sector is approximately 8.91 in².
If m<TUV = (9x + 1), m<TUW = (7x-9), and m<WUV = (5x - 11), find the value of x.
Answer: x = 7
Step-by-step explanation:
Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.
Then, m∠TUV = m∠ TUW + m ∠ WUV (i)
Given, m∠TUV = (9x + 1) , m∠ TUW = (7x-9) and m ∠ WUV = (5x - 11)
Substitute these values in (i), we get
\(9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7\)
Hence, the value of x = 7.
Answer:
x=7
Step-by-step explanation: