Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
If ABC ~ DEF and the scale factor from ABC to DEF is 2, what are the lengths of , , and , respectively?
Answer:
4,8,12 hope that helps heeeeheheʘ‿ʘ
The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.
Answer:
5$
Step-by-step explanation:
which function is nonlinear
Answer:
C, y=2x(x-4)
Step-by-step explanation:
All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).
Find the circumference for the following circle. use 22/7 for pi.
A.86.6 m
B.33 m
C.8.4 m
D.16.5 m
Answer:
D.16.5m
because circumference=21/7×5.25
=16.5m
Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.
Answer:
Exponential
Step-by-step explanation:
Linear is easy to remember because it goes in a straight LINE.
Only other option is a quadratic and this does not create a parabola
Tollowing statement.
The type of rule in which you are given the first term and then your equation gives you a method for finding the
next term in a sequence.
Answer:
recursive
Step-by-step explanation:
recursive lets us find the next term using a formula of the term preceding it or coming before it.
The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
What is recursive function ?
Recursive function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc
so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
Learn more about Recursion
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1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer
Answer:
A and C are functions.
The domain is x and the range is y
Step-by-step explanation:
Each x - value can have only one y -value
Function= unique x-values
Y can be the same answer but the X has to be different
The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?
Answer:
81
Step-by-step explanation:
1350 ×15 % by 100 = 81. 15 year = 1,215
Nvm, I know it's KM for this one y'all.
Answer:
If the question is asking which line is the radius then yes
Step-by-step explanation:
An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.
The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
Here,
Let's consider the situation described in the problem:
An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.
Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.
Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).
The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.
Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).
The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
tan(angle) = opposite / adjacent
In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):
tan(15°) = 2 / x
Now, solve for x:
x = 2 / tan(15°)
Using a calculator:
x ≈ 2 / 0.26794919243 ≈ 7.47 miles
So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).
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help, please! f(x)=x^2 what is g(x)?
Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-16-(-6))/(4-2)
m=(-16+6)/2
m=-10/2
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y+6=-5x+10
y=-5x+10-6
y=-5x+4
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
Suppose y varies directly with x, and y = 65 when x = 13. What direct variation equation relates x and y?
Answer:
y = 5x
Step-by-step explanation:
y = kx
65 = k (13)
65/13 = k
k = 5
~~~~~~~~~~~~
y = 5x
According to exponent rules, when we divide the expressions we
exponents.
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
First your rectangle
A = wl
A = 2 * 2
A = 4
Then one of your triangles
A = h b/2
A = 2 * 2/2
A = 2
you have 2 triangles, so the area is 4 + 4 from the rectangle
Answer:
Area = 8 units²
Step-by-step explanation:
Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.
Therefore, the area of the trapezoid is:
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A=\frac{1}{2}(6+2)(2)[/tex]
[tex]A=\frac{1}{2}(8)(2)[/tex]
[tex]A=8[/tex]
This means that the area of the trapezoid is 8 units²
which is the best estimate for the percentage equivalent of 7/15
Answer:
45%
Step-by-step explanation:
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
Answer:
A. y = -(x + 5)^2 + 4
Step-by-step explanation:
After a small online search, I've found that the options are:
A. y = -(x + 5)^2 + 4
B. y = -(x - 5)^2 + 4
C. y = -(x + 5)^2 - 4
D. y = -(x - 5)^2 - 4
For a quadratic equation with a vertex at the point (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if here we have the vertex at (-5, 4)
y = a*(x - (-5))^2 + 4
y = a(x + 5)^2 + 4
Then the correct option is the first one, where a = -1, then the correct option is A.
please help me this is due in 30 minutes
Answer:
a
c
c
a
Step-by-step explanation:
The product of two numbers is 62.7. If one number is 5.5, find the other number? Need it fastttttttttt with steps
Answer:other number is 11,4
Step-by-step explanation:
Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5
Which expression is equivalent to 44+100 as the product of GCF and sum?
A.5(8+20)
B.4(40+96)
C.2(22+50)
D.4(11+25)
*explain how you got the answer!*
Answer:
C.
Step-by-step explanation:
First you solve the bracket...
(22+50)= 72
72×2=144
Answer:
the answer is D because it has to greatest factor
A (5(8+20)=40+100
B (4(40+96)=160+384
C (2(22+50)=44+100
D (4(11+25)=44+100
11. Square ABCD shown has sides of length 10 centimeters. The unshaded
portions are both semicircles. Calculate the area of the shaded portion to
the nearest tenth of a square centimeter. *
Answer:
21cm^2
Step-by-step explanation:
Area of Square-Area of semi circles (makes one full circle)
Squares Area = 100
LxW or (10x10)=100
Circle Area = 25/pi
/pi (radius)^2 or /pi(5)^2 = 25/pi
100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2
The area of the shaded region is 21.5 cm²
What is a semi-circle?
'In geometry, a semicircle is a plane figure that is formed by dividing a circle into exactly two parts.'
According to the given problem,
Side length of the square = 10
Area of the square = ( 10 × 10 )
= 100 cm²
Now, for the semi-circle,
Diameter = 10 cm
Radius = [tex](\frac{10}{2}[/tex][tex])[/tex] cm
= 5 cm
Area of the semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
= [tex]\frac{\pi * 5^{2} }{2}[/tex]
Since, there are two semicircles in the square, we multiply the area with 2,
⇒ [tex]\frac{\pi *5^{2} }{2}*2[/tex]
= 25[tex]\pi[/tex]
Area of the shaded region = ( 100 - 25π )
= ( 100 - 78.53 )
= 21.46
≈ 21.5 cm²
Hence, we can conclude, the area of the shaded region is 21.5 cm².
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Help me ASAP please
Answer:
D. F(x) = (x - 1)^4
Step-by-step explanation:
To shift a graph h units horizontally, replace x by x - h.
The shift is 1 unit to the right, so the shift is positive 1.
h = 1
x - h = x - 1
Replace x with x - 1.
G(x) = x^2 becomes F(x) = (x - 1)^4
PLZ ANSWER ASAP 100 POINTS AND BRAINLIEST PLZ PLZ HELP
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Step-by-step explanation:
A parallelogram have opposite sides parallel and congruent
the given quadrilateral is a parallelogram then
10 = x + 2 Equation A
x + 5 = 2x - 3 Equation B
Solving for Equation A:
x = 10 -2 = 8 inches
Solving for Equation B;
2x - x = 5 + 3
x = 8 inches
Value X are the same equations.
Means that
For x=8 inches opposite side
So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
1. In the diagram below, segment AB is tangent to circle C at point D and
AC LBC. If m
Answer:
∠ DCB = 28°
Step-by-step explanation:
∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then
∠ DCB = 90° - 62° = 28°
5x−x can u give me the anwser
Answer:
4x
Step-by-step explanation:
5x - x is simply
5x - 1x = 4x
Another way to think about it:
5x = 5 * x
5(x) - 1(x) = 4(x) = 4x
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
4x
Step-by-step explanation:
The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 5 ounces of oil with 11 gallons of gasoline. How much oil would you use if you had 22 gallons of gasoline?
Answer: 10 ounces
Step-by-step explanation:
Given
The label says to mix 5 ounces of oil with 11 gallons of gasoline
for 22 gallons of gasoline that is, double the previous amount, oil required would also be doubled.
Oil required would be 10 ounce.
Find the equation of the line parallel to y = 2/3-7 (2 over 3)
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
y = 2/3x + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b