Answer:
60 miles
Step-by-step explanation:
if 45 = 3/4
divide 45 by 3 = 15
15 * 4 = 60
extend pattern 1,4,9
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100......
Step-by-step explanation:
This is a list of perfect squares.
1 is the square of 1. ( 1 x 1 = 2)
4 is the square of 2. (2 x 2 = 4)
9 is the square of 3. (3 x 3 = 9)
So, the next number would be the square of 4 which is 16 ( 4 x 4)
And so on.
Find the measure of arc TV
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 4?
A. 3
B. 1
C. 2
D 0
Answer:
Step-by-step explanation:
2
A baseball team has won 50 games of 75 played. The team has 45 remaining games to play. How many of the remaining games must a team win in order to win 60% of the total games played during the season?
A. 20
B. 21
C. 22
D. 23
Answer:
C. 22
Step-by-step explanation:
The team played 75 games and 45 remaining.
75+45=120
60% of 120 = 0.6×120= 72
The team must win 72 games and they already won 50 games so the team has to win 72-50=22 games more.
Draw a line with the given intercepts.
X-intercept: 2
y-intercept: -1
Answer:
Equation: y = (1/2)x - 1
Step-by-step explanation:
Please need help ASAP!!
Answer:
2x+30 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
2x+30 = 90
Answer:
2x+30 = 90° is the required equation.
Step-by-step explanation:
We see that, the angle formed in the image is 90°, so by adding in the angles inside it, we get 90
hope it helps :)
what is equivalent to 5x + 8y + 2
Answer:
(5 · x) + (8 · y) + (2 · 1)
Answer:
5x + 2 ( 4y + 1 )
Step-by-step explanation:
i just factorised 8y + 2
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
What is the proportion for this problem?
It is already solved, just need the proportion.
Will mark brainliest to the correct answer!
Answer:
1/2
Step-by-step explanation:
Given the equation
6/12 = x/8
We are to find the proportion
Cross multiply
12 * x = 8 * 6
12x = 48
x = 48/12
x = 4
Hencethe value of x is 4
Substitute into the expression to get the proportion
6/12 = 4/8
In its lowest term;
6/12 = 4/8 = 1/2
Hence the required proportion is 1/2
Find the measure of the arc,
mEDF = 124°
Steps
360 = 146 + 90 + x
360 = 236 + x
-236 -236
124 = x
Answer:
m(EDF) = 214°
Step-by-step explanation:
GIVEN :-
Measure of minor arc FE = 146°Measure of minor arc DE = 90°TO FIND :-
Measure of major arc FE (also known as arc FDE)FACTS TO KNOW BEFORE SOLVING :-
Sum of all angles in a circle is 360°.SOLUTION :-
According to the figure given in question ; in the orange circle ,
m(minor FE) + m(minor DE) + m(minor FD) = 360°
⇒ 146° + 90° + m(minor FD) = 360°
⇒ m(minor FD) = 360° - 236° = 124°
∴ m(major FE) [or] m(EDF) = m(minor DE) + m(minor FD) = 90° + 124° = 214°
A factory is discharging pollution into a lake at the rate of r(t) tons per year given below, where t is the number of years that the factory has been in operation. Find the total amount of pollution discharged during the first 7 years of operation. (Round your answer to two decimal places.)
Answer:
The total amount of pollution discharged during the first 7 years of operation is 1.955 tons
Step-by-step explanation:
Given
[tex]r(t) = \frac{t}{t^2 + 1}[/tex]
Required
The total amount in the first 7 years
This implies that:
[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]
The total amount is calculated by integrating r(t) i.e.
[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]
So:
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
--------------------------------------------------------------
We have:
[tex]t^2 + 1[/tex]
Differentiate
[tex]d(t^2 + 1) = 2t[/tex]
Rewrite as:
[tex]2t = d(t^2 + 1)[/tex]
Solve for t
[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]
---------------------------------------------------------------------------
So:
Make t the subject
[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]
[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]
Integrate
[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]
Expand
[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]
[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]
[tex]v = \frac{1}{2}[3.91 - 0][/tex]
[tex]v = \frac{1}{2}[3.91][/tex]
[tex]v = 1.955[/tex]
Using traditional methods it takes 99 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 190 students and observed that they had a mean of 98 hours. Assume the population variance is known to be 49. Is there evidence at the 0.05 level that the technique reduces the training time?
State the null and alternative hypotheses.
Find the value of the test statistic. Round your answer to two decimal places
Answer:
the aswer is 0.40 hope this helps
Step-by-step explanation:
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 8(1-1/4096)/3= 2.67
Find the area of a triangle with a base of 4 meters and a height of 14 meters.
Answer:
28 meters²
Step-by-step explanation:
Area of triangle = 1/2(base x height).
It is given that:
base = 4 meters
height = 14 meters
Plug in the corresponding numbers to the corresponding terms:
Area of the triangle = 1/2(4 * 14)
Area of the triangle = (4 * 14)/2
Area of the triangle = 56/2
Area of the triangle = 28 meters²
Answer:
The answer is 28 meters^2.
Step-by-step explanation:
To solve for the area of the triangle, start by using the area of a triangle formula, which is A= [tex]\frac{1}{2}[/tex] bh.
Next, plug in the information from the question into the formula. The formula will look like A= [tex]\frac{1}{2}[/tex](4)(14).
Then, solve the equation, and the final answer will be 28 meters^2.
Extremely STUCK on this one help!
Can someone please help, ty!
Will mark brainliest!
Answer:
The first and third set
Step-by-step explanation:
Because no two inputs can have different outputs
A cylinder has a height of 7 inches and a radius of 14 inches. What is its volume? Use a
3.14 and round your answer to the nearest hundredth.
Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
PLA ANSWER RN
What is the value
of x?
A. 5
B. 8
C. 11
D. 12
Answer:
a
Step-by-satep explanation:
just took it
An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. Calculate the probability of the ion channel going through the following sequence of states: COO. An individual can be either susceptible (S) or infected (I), the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. Calculate the probability of a person going through the following string of states: SISI.
Answer:
a) P (COO) = 0,135
b) P ( SISI) = 0,00015
Step-by-step explanation:
a) the probability of an ion channel in open position is 50 % 0,5
the probability of an ion channel in close position is 50 % 0,5
probability for the following sequence of states COO
to be closed 0,5 (C)
from (C) to pass to open 0,3 (O)
and to stay O is 0,9
Then the probability of the sequence of states COO is
P (COO) = 0,5 * 0,3 * 0,9
P (COO) = 0,135
b) If people are either infected or susceptible, then
Probability of an individual infected is 0,5
Probability of an individual susceptible is 0,5
to pass from susceptible to infected is 0,05
to pass from infected to susceptible is 0,12
then
P ( SISI) = 0,5 * 0,05*0,12*0,05
P ( SISI) = 0,00015
probability for the following sequence of states COO
For the rotation -982º, find the coterminal angle from 0°
quadrant and the reference angle.
9514 1404 393
Answer:
coterminal angle: 98°
reference angle: 82°
Step-by-step explanation:
Adding 360° × 3 = 1080° brings the angle into the range 0-360°.
The coterminal angle is -982 +1080° = 98°
This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
Can someone please help me ASAP??
I need the answer n 30 minutes, please!
For which values of the parameter p equation
x ^ 2-px + 3 = 0
has a root in the range [0; 1], and another that does not belong to this range?
Answer:
p = 4
Step-by-step explanation:
Given the expression x ^ 2-px + 3 = 0
If x = 0 is a solution
Substitute into the expression
0² - 0p + 3 = 0
-0p = -3
p = 3/0
p cannot be determined for this root
If x = 1
1² - 1p + 3 =0
1 - p + 3 = 0
-p+4 = 0
-p = -4
p = 4
Hence the va;ue of p is 4
Pls help this is due soon
Answer:
180⁰ 8. 20⁰ 3. rays and angle
Step-by-step explanation:
need ko po ang sagot
Suppose the length of each side of a square is increased by 5 feet. If the perimeter of the square is now 56 feet, what were the original side lengths of the square? A. 9 ft B. 11 ft C. 14 ft D. 36 ft
Answer:
D. 36 ft
Step-by-step explanation:
5 feet added to each of 4 sides is 20 feet
56 - 20 = 36
If you apply the changes below to the quadratic parent function, f(x) = x2, what is the equation of the
new function?
• Shift 1 unit left
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
O A. g(x) = -3(x + 1)2
B. g(x) = -3x2 - 1
C. g(x) = (-3x + 1)2
D. 9(x) = -3(x - 1)
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
Find the surface area of the figure below
Answer:
592 cm
Step-by-step explanation:
16*10/2=80
16*10/2=80
16*12=192
10*12=120
10*12=120
Add all the sum, which would equal 592.
Hope this helps.
which expressions are equivalent to -3x+6v+7x14?
Between the 4 and the 7 is it a multiplication or an X?
If the multiplication sign, this is the solution
[tex] - 3x + 6v + 7 \times 14 \\ = 6v - 3x + 98[/tex]
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
Help me with this please?? Find the indicated side length(s) of this triangle in simplified radical form
Answer:
b = 5√6
c = 10√5
Step-by-step explanation:
This is a 30-60-90 triangle
the hypotenuse is always twice the short leg
c = 2(5√2)
c = 10√5
The long leg is alway √3 times the short leg
b = √3(5√2)
b = 5√6