The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
This is an equilateral triangle, therefore, all the angles are 60 degrees.
3 times 60 is 180.
180 is the answer
Pretest: Unit 8
Question 12 of 13
Which option below provides the best description of the relationship between
a quadratic parent function and a square root parent function?
A. The square root function is the quadratic function reflected across
the y-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
C. The square root function is the quadratic function reflected across
the x-axis.
B. The square root function is the quadratic function reflected across
the line y = x, with a limited domain.
graph y=x^2 and y=√x and y=x
graph is attached
gathmath
In a class there are two girls for every three boys. The ratio 2 : 3 compares the
number of girls to the number of boys.
a) What is the ratio of boys to the whole class? - 3:5
b) If this class has eight girls, determine how many boys there are using the ratio that there are two girls for every three boys
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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Is 0.2775 a rational number
Answer:
yes it is
Step-by-step explanation:
It is a rational number, as it can be written as a fraction.
Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]
[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
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For a science project, billy observed a chipmunk and a squirrel stashing acorns in trees. the chipmunk hid 3 acorns in each tree. the squirrel hid 4 acorns in each tree. they each hid the same number of acorns, although the squirrel needed 2 fewer trees. you are going to investigate the number of acorns that each animal hid.
The number of acorns that each animal hid is 48
What is an Equation ?An equation is formed when two algebraic expressions are equated by an equal sign.
It is asked to calculate the number of acorns that each animal hid.
Total number of acorns hid = number of acorns hid per tree * number of trees
Let T be the number of trees chipmunk used
For chipmunk: = 3*T
For squirrel: = 4*(T-4)
As both the animals hid same number of acorns.
3T = 4(T-4)
3T = 4T - 16
16 = T
Therefore the chipmunk hid 16 * 3 = 48 acorns
and the squirrel hid 4(16-4) = 48 acorns.
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Please help!! Will give brainliest
Answer:
The first choice
Step-by-step explanation:
7/8 x + 3/4 = -6
6 (x/8) + 3/4 = -6
True or false? The graph represents a function
Answer:
true
Step-by-step explanation:
The statement is true because every graph associated a unique x-value for each y - value
please help... Identify the shape of a cross section of the cone below.
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Is y=2x-3 a funtion?
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.
(Refer to the attached image)
[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Given following:
A = 56°B = 77°a = 38 mb = ? mSolve for b (distance between school and mall):
[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]
[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]
[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]
If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
What are trigonometric functions?Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
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The population of center city is modeled by exponential function
The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.
The graph is given below.
We know that the exponential function is given as
y = abˣ
For x = 0, y will be 250,000
250,000 = a
For x = 40, y will be 400,000
400,000 = 250,000b⁴⁰
b = 1.0118
Then we have
y = 250,000 (1.0118)ˣ
Then the range of the exponential function will be y ≥ 250,0003.
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Expand the expression to yield a trinomial of the form
ax² + bx + c.
(2x + 3)²
Step-by-step explanation:
(2x + 3)(2x + 3)
4x² + 6x + 6x + 9
4x² + 12x + 9
i dont now this question
Answer:
y = 108
Step-by-step explanation:
2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .
Now we solve for x :
Subtract 2x from both sides :
16 = x - 12
Now we add 12 to both sides :
28 = x
Angle 3x-12 and y add up to 180 as they are on a straight line :
3x-12 + y = 180
Substitute x and solve for y :
3(28) - 12 + y = 180
84 - 12 + y = 180
72 + y = 180
y = 108
Hope this helped and have a good day
For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10
Answer:
a) 13
b) 1/3
c) -2
d) 1
Step-by-step explanation:
This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:
For example:
f(x) = 3x + 7
f(2) = 3(2) + 7
f(2) = 6 + 7
f(2) = 13
________
f(-3) = 3x + 7
f(-3) = 3(-3) + 7
f(-3) = -9 + 7
f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.
f(-3) = -2
The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:
For example:
f(x) = 8
f(x) = 3x + 7
8 = 3x + 7
8 - 7 = 3x
1 = 3x
x = 1/3
f(x)= 10
f(x) = 3x + 7
10 = 3x + 7
10 - 7 = 3x
3 = 3x
3/3 = x
1 = x
I hope this helps!
What is the value of the underline digit?
119.65
A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line
Answer:
If I am not mistaking it should be -7.5
Step-by-step explanation:
Answer:
b = -15/2
y = -3x -15/2
Step-by-step explanation:
The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.
__
intercepty = mx + b . . . . . . . equation of a line with slope m and y-intercept b
y -mx = b . . . . . . . . subtract mx from both sides
For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...
b = -3/2 -(-3)(-2) = -3/2 -6
b = -15/2 . . . . . the value of b for this line
__
equation of the lineThen the equation for the line is ...
y = mx +b
y = -3x -15/2
Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
What is the percentage of 0,4(That is a decimal fraction)
Answer:
0.4= 4/10= 2/5
Step-by-step explanation:
The first decimal place after the point represent the place holder "tenth's"
0.4 = 4/10
This can simply to 2/5
Hope it will help:-)
2 over 5
Step-by-step explanation:
0.4=4 over 10 simplify=2over5
What is the center of the circle described by the equation (x-6)² + (y + 5)² = 25?
Reason:
Rewrite the given equation into [tex](x-6)^2 + (y-(-5))^2 = 5^2[/tex]
I changed the y+5 into y-(-5), and also replaced 25 with [tex]5^2[/tex]
Then compare that to the circle template of [tex](x-h)^2 + (y-k)^2 = r^2[/tex]
We see that h = 6 and k = -5 to give a center of (h,k) = (6, -5)
Side note: the radius is r = 5 units
Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin. A (0,5) C (6,3) B (2,-2) Where does point A end up?
Answer:
B
Step-by-step explanation:
To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.
I need help on this please
Answer:
-22
Step-by-step explanation:
each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative
hope this helped!
How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%
Answer:
A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.
Which choice belongs in space 5!!!
The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release
In 15 years, the average car releases 458.7 kilograms of nox.
How much nox does that vehicle release?
We know that the average vehicle releases 1.39 grams per mile driven.
And, in average, that car drives 22,000 miles per year.
So in a year, a car releases:
M = (22,000)*1.39 g = 30,580 g = 30.58 kg
In one year, the average car releases around 30.58 kilograms of nox.
Then in 15 years, the car releases 15 times that amount, then we have the product:
T = 15*30.58 kg = 458.7 kg
In 15 years, the average car releases 458.7 kilograms of nox.
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Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b