A swimmer breaks a world record by 0.07 seconds. The old record was 49.51 seconds. What is the swimmer's new world record?
a. 49.58 seconds
b.49.44 seconds
c.48.81 seconds
d.48.58 seconds
Answer:
B
Step-by-step explanation:
Simply subtract 0.07 from 49.51 too get 49.44.
Hope that this helps!
can you please help? f(x)=x^2 what is g(x)?
Answer:
D
Step-by-step explanation:
g(x) will be -x^2-3. The minus in front of the x makes the graph flip upside down, and the "-3" indicates its position on the y-axis. Hope this helps!!
Answer: Choice D. g(x) = -x^2-3
==============================================
Explanation:
Start with the curve y = x^2.
Reflect it over the horizontal x axis to get y = -x^2
Then shift everything down 3 units to arrive at g(x) = -x^2-3
You can use a tool like Desmos or GeoGebra or anything similar to help verify this.
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the mode
Answer:
118
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times while others appear once in the data set while the other values appear only once.
Mode is a measure of central tendency
118 appears 3 times while others appear once so it is the mode
In a school the ratio of boys to girls is 3:2. What percentage of the students are girls?
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
Find the simplified quotient
27 +51 +3
12-37-4
.
47 +27 -6
X-8x +16
о
1-4
21-2
O
1
27-2
O
X-4
y-
Answer:
y24 x66
Step-by-step explanation:
Yeah!! than vsj haha yeamKah
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
Whats 8^6 ÷ 8 pls ty :D
Answer:
[tex] {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} [/tex]
Answer:
[tex]8^{5}[/tex] or 32768
Step-by-step explanation:
When dividing exponents, you subtract the exponent on the top from the one on the bottom:
[tex]8^{6}[/tex]/[tex]8^{1}[/tex] = [tex]8^5[/tex] because 6-1 = 5
PLEASE HELP MEEEE:((
Answer:
g(x)=[tex](3x)^{2}[/tex]
Step-by-step explanation:
In this graph g(x) will be equal to g(x)=[tex](3x)^{2}[/tex]. Multiplying a squared variable will close the parabola together, but multiplying the variable itself and then calculating the square will exponentially close the parabola. Without the parenthesis x would be substituted for 1, 1 squared is 1 and multiplied by 3 would be 3. Therefore, giving you a coordinate of (1,3). With parenthesis that would be 3 times greater which would give you a coordinate of (1,9) as can be seen in the graph attached below.
The ratio of girls and boys in Aamir’s class is 3:2 if the number of girls in his class is 21 , what is that number of boys ? The number of boys in Aamir’s class=
Answer:
16
Step-by-step explanation:
for every 3 boys there is 4 girls
divide 12 by 3 and the answer is 4
multiply 4 by 4
16 This will be your answer
I need help ASAP plz
Answer:
a = 14.4
Step-by-step explanation:
It's a right angled triangle. so it has to follow Pythagoras Theorem
according to it square of hypotenuse = sum of squares of other two sides
[tex]16 {}^{2} = {x}^{2} + 7 {}^{2} \\ 256 = x {}^{2} + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x = \sqrt{207 } \\ x = 14.387 \\ x = 14.4[/tex]
after rounding the decimal a= 14.4 in
Acellus
If P = (3,2), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box
Enter
Answer:
(-2, 3)
Step-by-step explanation:
Think of this in the future:
Counter-clockwise rotations:
90-degree --> (x,y) = (-y,x) ex. (3,2) --> (-2,3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3, -2)
270 degree --> (x,y) = (y,-x) ex. (3,2) --> (2, -3)
Clockwise rotations:
90-degree --> (x,y) = (y, -x) ex. (3,2) --> (2, -3)
180-degree --> (x,y) = (-x,-y) ex. (3,2) --> (-3,-2)
270-degree --> (x,y) = (-y, x) ex. (3,2) --> (-2,3)
what is the length of side x in the above right triangle
Answer:
4
Step-by-step explanation:
b² - a² is the formula
5² - 3²
16
√16
= 4
the following table shows the number of fire hydrants in each neighborhood overseen by District 9
Answer:
where is the table
Step-by-step explanation:
Answer:
whare is the table?
Step-by-step explanation:
we cant answer if theres no table
Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824
Answer:
The margin of error of his experiment is of 0.1074.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
30 M & M's from a bag, and 3 of them are green.
This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]
[tex]M = 0.1074[/tex]
The margin of error of his experiment is of 0.1074.
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answer:
19.62N
Step-by-step explanation:
Given data
Mass =2kg
Force =10N
The applied force is
F=mg
F=2*9.81
F=19.62N
Hence the applied force is 19.62N
What is the area of the triangle shown below?
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
Find the length of AB.
A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m
:)
Answer:
19.55m
Step-by-step explanation:
We solve the above question using the formula for Arc Length
The formula of Arc length when central angle is given in degrees = Length of AB
= θ/360 × 2πr
Central angle = θ = 140°
Radius = r = 8m
Hence,
Length AB = 140/360 × 2 × π × 8
= 19.547687622 m
Approximately to the nearest hundredth, the length of AB = 19.55m
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree. 4tan^2 θ+tanθ=−4tanθ−1
Answer:
135 and 315degrees
Step-by-step explanation:
Given the expression
4tan²θ+tanθ=−4tanθ−1
Equate to zero
4tan²θ+tanθ+4tanθ+1 = 0
4tan²θ+5tanθ+1 = 0
Let x = tanθ
4x²+5x+1 = 0
Factorize;
4x²+4x+x+1 = 0
4x(x+1)+1(x+1) = 0
4x+1 = 0 and x+1 = 0
4x = -1 and x = -1
x = -1/4 and -1
Since x = tanθ
-1 =tanθ
θ = arctan(-1)
θ = -45degrees
Since tan is negative in the 2nd and fourth quadrant;
In the second quadrant
θ = 180 - 45 = 135degrees
In the fourth quadrant;
θ = 360 - 45 = 315degrees
Hence the required angles are 135 and 315degrees
Plot the points P (2, -3) & Q (-5, -3) whose ordinates are same. To which axis the line PQ is parallel.
Given :
The points P (2, -3) & Q (-5, -3) whose ordinates are same.
To Find :
To which axis the line PQ is parallel.
Solution :
In given points the ordinates are same.
Therefore, the line is parallel to the x- axis.
Hence, this is the required solution.
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80
Please help me i'm struggling!
El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura.
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1
Answer:
The last two
Step-by-step explanation:
Scientific notation:
a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8
Please help it's urgent!
Find the rest of the equation.
Answer:
D = 48 E= 90 F = 42 FE = 15
Step-by-step explanation:
Sorry, i dont know how to get DF and DE yet
Which of these answer choices can find the width
A. Width = (70 yd + 40 yd) /2
B. Width = (70 yd + 40 yd) /4
C. Width = (70 yd - 40 yd) /2
D.width = (70 yd - 40 yd) /4
Answer:
C
Step-by-step explanation:
2 (20)=40
70-40=30
30/2 = 15 actual width of both sides
P= 2l + 2w
helppppp meeee, I need all three, I need an explanation tooo
Answer:
Step-by-step explanation:
for the first one: d
BRAINLIEST FOR CORRECT ANSWER.
I drew what option c was for the third answer
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
What is the sign of -9. (0/-3)
Answer:
C Zero
Step-by-step explanation:
[tex] -9 \times (\dfrac{0}{-3}) = [/tex]
[tex] = -9 \times 0 [/tex]
[tex] = 0 [/tex]
Answer: C Zero