Step-by-step explanation:
Area of triangle = 1/2×base×height
= 1/2×7×8
= 28cm²
Find the values of m and n.
A. m = 60, n = 12
B. m = 50, n = 20
C. m = 50, n = 16
D. m = 60, n = 24
Answer:
D. m= 60, n= 24
Step-by-step explanation:
The angle marked with blue, will also be 2m° (Vertically opposite angles)
So, 2m = (4m- 120)°
2m = 120°
m = 60°
Now, (4m-120)° = 5n° (Vertically opposite angles)
[4(60)- 120]° = 5n°
240- 120 = 5n°
120/5° = n
n= 24°
Hope this helps you
The parent exponential function of f(x)=2x has been transformed in the following ways:
-a vertical compression by a scale factor of 13
-a vertical translation of 3 units up
-and a horizontal translation of 3 units to the left
Answer:
The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.
Step-by-step explanation:
Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:
Vertical compression
[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)
Vertical translation upwards
[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)
Horizontal translation leftwards
[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)
Now, we proceed to transform the parent exponential function:
(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])
[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]
(ii) Vertical translation of 3 units up
[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]
(iii) Horizontal translation of 3 units to the left
[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]
The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.
DEFG maps out Carrie’s dog walking route. If she does one complete loop, how far does she walk with her dogs?
Answer:
Step-by-step explanation:
Actually it’s 4 square root 17
CAN SOMEONE TELL ME THE AREA PLEASE
Answer:
1.3 m²
Step-by-step explanation:
The shape is a trapezoid.
Area of a trapezoid = ½(a + b)*h
Where, a = 0.8 m
b = 1.8 m
h = height of the trapezoid which is not given.
Therefore, find h using trigonometric function with 45° as reference angle:
Hypotenuse = 1.4 m
Opposite = h
Apply SOH, which is:
Sin 45 = Opp/Hyp
Sin 45 = h/1.4
1.4*Sin 45 = h
0.989949493 = h
h ≈ 1.0 m
✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²
The price of an item yesterday was $85. Today, the price rose to $119. Find the percentage increase.
Answer:
40% increase
Step-by-step explanation:
Answer:
[tex] \frac{34}{85} \times 100 = 40\%[/tex]
Step-by-step explanation:
the increase is 119-85=34
the percentage increase would be 34/85 ×100%
=0.4×100%=40%
I think I found the area I need help finding the perimeter
A car travels 17 miles on one gallon of gas.
If y is gallons and x is miles, what is the range of values of y when x ranges from 170 to 340?
Answer:
747464
Step-by-step explanation:
3737363746474747
write an exponential model given two points:
(9, 140) and (10, 250)
Answer:
9-140=100 10-250=150
Step-by-step explanation:
ok
Determine the multiplier in each situation below.
a. A 44% increase
b. A 93% decrease
Answer:
Step-by-step explanation:
%s can drive a person crazy.
44% increase
Cost = 100% * x + 44%x
Cost = x ( 100 / 100 + 44/100)
Cost = x (1 + 0.44)
Cost = 1.44 x
93% decrease
Cost = 100%x - 93%x
Cost = x * (100/100 - 93/100)
Cost = x * (1 - 0.93
Cost = 0.07 x
Answer:
1.44 and 0.07
Step-by-step explanation:
(a)
A 44% increase of the original amount (100%) is
100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier
(b)
A 93% decrease of the original amount (100%) is
100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier
what is the standard form for two hundred and twenty-six hundredths?
The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?
Step-by-step explanation:
his one day distance=2400m
his mon -fri distance=2400×4
=9600m
whoever gets this correct first gets brainlest!!
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=11°, and TU = 30 feet. Find the length of UV to the nearest tenth of a foot.
Answer:
5.7 feet
Step-by-step explanation:
Answer:
5.7
Step-by-step explanation:
PLS HELP BIG RESPONSE ALOT OF POINTS
Answer: Melanie has the most money at the end of the week.
Step-by-step explanation:
Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)
in Triangle uvw , the measure of
Answer:
not enough info
Step-by-step explanation:
Rhonda has a USB drive that can hold 8 million bytes choose the best approximation of the number of bytes that Rhonda’s USB drive can hold
Answer:
8 times 10^9
Step-by-step explanation:
hope it helps
NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(15, 0.05).
a. Determine both P(X <= 3) and P(X < 3).
b. Determine P(X >= 4). c. Determine P(1 <= X <= 3).
d. What are E(X) and Sigma (x)?
e. In a sample of 50 children, what is the probablity that none have a food allergy?
Answer:
a. [tex]P(x\le 3) = 0.9957[/tex] and [tex]P(x < 3) = 0.965[/tex]
b. [tex]P(X \ge 4) = 0.0043[/tex]
c. [tex]P(1 \le x \le 3)= 0.5313[/tex]
d. [tex]E(x) = 0.75[/tex] and [tex]\sigma(x)= 0.8441[/tex]
e. [tex]P(0) = 0.0769[/tex]
Step-by-step explanation:
Given
X ~ Bin(15, 0.05)
This implies that:
[tex]n = 15[/tex]
[tex]p =0.05[/tex]
A binomial distribution is represented as:
[tex]P(x) = ^nC_x\ p^x\ (1- p)^{n-x}[/tex]
Solving (a):
(i)
[tex]P(x\le 3)[/tex]
This is solved as:
[tex]P(x\le 3) = P(0) + P(1) + P(2) + P(3)[/tex]
[tex]P(0) = ^{15}C_0\ * 0.05^0\ (1- 0.05)^{15-0} = 1 * 1 * 0.95^{15} = 0.4633[/tex]
[tex]P(1) = ^{15}C_1\ * 0.05^1\ (1- 0.05)^{15-1} = 15 * 0.05 * 0.95^{14} = 0.3658[/tex]
[tex]P(2) = ^{15}C_2\ * 0.05^2\ (1- 0.05)^{15-2} = 105 * 0.05^2 * 0.95^{13} = 0.1348[/tex]
[tex]P(3) = ^{15}C_3\ * 0.05^3\ (1- 0.05)^{15-3} = 455 * 0.05^3 * 0.95^{12} = 0.0307[/tex]
So:
[tex]P(x\le 3) = 0.4644 + 0.3658 + 0.1348 + 0.0307[/tex]
[tex]P(x\le 3) = 0.9957[/tex]
(ii)
[tex]P(x < 3) = P(0) + P(1) + P(2)[/tex]
[tex]P(x < 3) = 0.4644 + 0.3658 + 0.1348[/tex]
[tex]P(x < 3) = 0.965[/tex]
Solving (b):
[tex]P(X \ge 4)[/tex]
This is represented as:
[tex]P(x \le 3) + P(X \ge 4) = 1[/tex]
[tex]P(X \ge 4) = 1 - P(x \le 3)[/tex]
[tex]P(X \ge 4) = 1 - 0.9957[/tex]
[tex]P(X \ge 4) = 0.0043[/tex]
Solving (c):
[tex]P(1 \le x \le 3)[/tex]
This is represented as:
[tex]P(1 \le x \le 3) =P(1) + P(2) + P(3)[/tex]
[tex]P(1 \le x \le 3) = P(1) + P(2) + P(3)[/tex]
[tex]P(1 \le x \le 3)= 0.3658 + 0.1348 + 0.0307[/tex]
[tex]P(1 \le x \le 3)= 0.5313[/tex]
Solving (d): E(x) and Sigma(x)
[tex]E(x) = n * p[/tex]
[tex]E(x) = 15 * 0.05[/tex]
[tex]E(x) = 0.75[/tex]
[tex]\sigma(x)= \sqrt{E(x)* (1-p)}[/tex]
[tex]\sigma(x)= \sqrt{0.75* (1 - 0.05)}[/tex]
[tex]\sigma(x)= \sqrt{0.7125}[/tex]
[tex]\sigma(x)= 0.8441[/tex]
Solving (e):
Calculate P(0) when n= 50
Using: [tex]P(x) = ^nC_x\ p^x\ (1- p)^{n-x}[/tex]
[tex]P(0) = ^{50}C_0 * 0.05^0 * (1- 0.05)^{50-0}[/tex]
[tex]P(0) = 1 * 1 * (0.95)^{50}[/tex]
[tex]P(0) = 1 * 1 * 0.0769[/tex]
[tex]P(0) = 0.0769[/tex]
what is the excluded value of t + 3
Find x.
Please help! Oh
Answer:
8.5
Step-by-step explanation:
18=2x+1
-1 -1
_______
17=2x
_ _
2 2
8.5=x
Mrs. Hicks can grade 25 quick checks in 20 minutes. Ms. Place can grade 36 quick checks in 30 minutes. Which teacher is working at a faster rate? How do you know?
Answer:
Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.
i will give you brainliest whoever answers correct first!!
Answer:
IJ = 12.8
Step-by-step explanation:
Since you are missing 1 side, set up a proportion 8 is to 3.2 as 32 is to x, so
[tex]\frac{8}{3.2} =\frac{32}{x}[/tex] so solve for x by cross multiplying 8x = 102.4, so x = 12.8
The measurements of two sides of a triangle are 5 cm and 16 cm. What could be a measurement of the third side of the triangle?
Answer:
The third side would be greater than 11 or less than 21
please help me . I need it asap .
Answer:
x=10, y=-1
Step-by-step explanation:
Multiply both sides of the top equation by 2 to get 2x-2y=22
subtract the two equations
2x-2y=22
2x+y=19
-3y=3
y=-1
plug the -1 in any of the two equations (I'll do the second one)
2x-1=19
2x=20
x=10
x=10, y=-1
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
Answer:
I would expect a decimal questions because if you wanted to add these two, you would have to put them in the type of number so it would be easier and faster to get the answer.
Step-by-step explanation:
Answer:
Rational Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number
Calculate the amount of money you'll have at the end of the indicated time period, assuming that you earn simple interest. You deposit $3400 in an account with an annual interest of 4.5 % for 20years. The amount of money you'll have at the end of the years is
Answer:
The amount of money you'll have at the end of the years is 6460 dollars
Step-by-step explanation:
The total principal sum of money deposited = [tex]3400[/tex] dollars
The annual rate of interest is [tex]4.5[/tex] %
The time period for which the amount is invested [tex]= 20[/tex] years
As we know
[tex]A = P (1 + rt)[/tex]
where A is the amount after 20 years
P is the principal sum of money
r is the rate of interest and
t is time period in years
Substituting the given values in above equation, we get -
[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars
Help pls!!ty!!:))):):
Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)
In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?
9514 1404 393
Answer:
99°
Step-by-step explanation:
If we assume that angles 5 and 7 are vertical angles, they are congruent:
10x -9 = 9x
x = 9 . . . . . . . add 9-9x
Then angles 5 and 7 are ...
(10·9 -9)° = 9·9° = 81°
Angle 6 will be the supplement to this.
angle 6 = 180° -81°
angle 6 = 99°
Answer:
the answer is not 99
Step-by-step explanation:
18 is 2% of what number?
A)
300
B)
600
900
D)
1,200
Answer:
A
Step-by-step explanation:
18 is 2% percentage of number 300
-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????
Answer:
The answer is 30.
Step-by-step explanation:
Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.
what is the domain of f(x) = (x+3)/(x^2-64)
Answer:
x>8, x<-8, -8<x<8
Step-by-step explanation:
The domain is determined solely by the denominator in this problem. The denominator cannot equal 0, and as a result in this problem cannot equal 8 or -8. The above answers are the results of that notion. These do not equal any form of 8, but it's perfectly fine to be negative.