Step-by-step explanation:
6p+7=9
6p=9-7
6p=2
p=2/6
p=1/2
PLEASE HELP ME WITH THIS
Answer:
620. 0.25 x 620 = 155
Simplify the radical expression by rationalizing the denominator. 4/√10 A. 2√10 B. 2√10/5 C. 10√4 D. √50/10
Answer:
Its 2√10/5. So B.
Step-by-step explanation:
I did it on paper.
100 POINTS
Find the error(s) and solve the
problem correctly in the picture below
Change the third line only .
<TFS\(\cong \)<PFQReason--(Opposite angles are same )Amd at 4th line
\(\\ \tt\Rrightarrow ∆TFS\cong∆PFQ(ASA)\)
ProvedPablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Suppose c(p) gives the number of calories burned doing p push-ups, and
p(t) gives the number of push-ups a person can do in t seconds.what is the meaning of the composite function c(p(45)).
The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
How to interpret the meaning of the composite function c(p(45))?The functions are given as:
c(p) gives the number of calories burned doing p push-upsp(t) gives the number of push-ups a person can do in t secondsSo, the interpretation of the function c(p(t)) is
The number of calories burned doing push-ups in t seconds
In c(p(45)), the value of t is 45
Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
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In a Examination a candidate has to score minimum of 24 marks inorder to clear the exam. The maximum that he can score is 40 marks. Identify the Valid Equivalance values if the student clears the exam.
a) 22,23,26
b) 21,39,40
c) 29,30,31
d) 0,15,22
We can Identify the Valid Equivalance values if the option c) 29,30,31 student clears the exam.
The values that the system or component being tested need to be able to accept are known as valid partitions. The "Valid Equivalence Partition" is the name given to this partition. The values that the component or system under test should reject are known as invalid partitions. The "Invalid Equivalence Partition" is the name of this partition.
For the purpose of the student passing the exam, the values of marks that they can obtain that are equal to or higher than the minimum required marks to pass the exam, which is 24 marks, are regarded real equivalency values. In this case, 29, 30, 31, and all mark values higher than 31 are valid equivalence values.
The appropriate selections are (c), 29, 30, and 31.
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PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
118 degrees
Step-by-step explanation:
Answer:
118°
Step-by-step explanation:
62 and angle B are supplementary angles, so they add up to 180. 180-62 is 118, so angle B is 118.
Using traditional methods it takes 107 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
What is the conclusion?
A. There is sufficient evidence at the 0.020 level of significance that the new technique reduces training time.
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Answer:
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Step-by-step explanation:
We are given that using traditional methods it takes 107 hours to receive an advanced flying license.
A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.
Let \(\mu\) = average training time to receive an advanced flying license
So, Null hypothesis, \(H_0\) : \(\mu \geq\) 107 hours {means that the new technique doesn't reduce training time}
Alternate Hypothesis, \(H_A\) : \(\mu\) < 107 hours {means that the new technique may reduce training time}
Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.
This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.
Solve the triangle. Round to the nearest tenth.
Find c aswell
Answer:
Set your calculator to Degree mode.
a² = 17² + 20² - 2(20)(17)cos(89°)
a² = 677.13236
a = 26.0 in.
sin(89°)/26.02177 = (sin B)/17
sin B = 17sin(89°)/26.02177
B = 40.8°
C = 50.2°
What is the following quotient?
2-√√√8
4+√12
The quotient of these two expressions is not a finite value.
What is the quotient?A quotient is a result obtained by dividing one quantity by another. It is the number that results from dividing one number by another.
Here,
Given : The quotient of
2-√√√8
and
4+√12
is not a finite value.
Explanation:
The square root of 8 is 2, so the first square root is 2, the second one is also 2, the third one is 2 again.
So the expression inside the first square root becomes 8, and the whole first square root becomes 2.
So the final expression would be:
2 - (2) = 0
On the other hand, √12 = √(223) = 2*√3
So the final expression would be:
4+2*√3
Hence, the quotient of these two expressions is not a finite value.
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teri wants to buy as many pencils and pens as possible. she wants three pencils for every pen. each pencil costs $0.15 and each pen costs $0.20. she cannot spend more than $6.50
The maximum number of pens and pencils she can purchase is 10 pens and 30 pencils. The result is obtained by using substitution method on inequality problem.
How to find the maximum value in inequality?The most important thing in inequality problem is the inequality symbol. The symbols are:
">" = greater than"<" = less than"≤" = at least/no more than"≥" = greater than or equal toTeri wants to buy as many pencils and pens as possible by spending no more than $6.50. She wants three pencils for every pen. Each pencil costs $0.15 and each pen costs $0.20.
Find the maximum number of pens and pencils she can purchase?
Let's say:
x = number of pencilsy = number of pensThe money spent is no more than $6.50. It means the maximum money spent is $6.50. We got the inequality.
0.15x + 0.20y ≤ 6.50
She wants 3 pencils for 1 pen. We have x = 3y.
Substitute x with 3y!
0.15(3y) + 0.20y ≤ 6.50
0.45y + 0.20y ≤ 6.50
0.65y ≤ 6.50
y ≤ 10
x = 3y = 3(10) = 30
Hence, Teri can purchase 10 pens and 30 pencils with the money she can spend.
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What's the domain and range of this situation?
Answer:
210
Step-by-step explanation:
Answer: i think it should be 210 correct me if im
wrong
Step-by-step explanation:
5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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HELP ME PLEASEEEEEEEEE
Answer:
3r
Step-by-step explanation:
there is an invisible 1 in front of the rs. Add them and you get 3r
Answer:
3r
Step-by-step explanation:
Let's replace r with a number.
For example,
r=3
3+3+3=9
We know also that 9=3 multiplied by 3. Therefore, r+r+r=3r
6. Which pair of figures are similar? Choose the letter
А A
с
B
D
оооо
Answer:
B
Step-by-step explanation:
The width of the first box for B is 2 the second box is 4. 4÷2=2
The length of the first box for B is 3 and the second box is 3. 6÷3=2
The second box increase by 2
1) Determine the area of a square if the perimeter is 84 yards.
Answer:
441 yards
Step-by-step explanation:
it's a square, so all sides are equal. we want to find the area, and the formula for the area of a square is L^2. (Length squared.) The perimeter is found by adding all 4 sides, so dividing the perimeter by 4 gives us the length of each side. 84/4 is 21. the length is 21 yards, so to find the area, we have to square it. 21^2 = 441 yards
Mikey biked 12 miles north to a park and then 5 miles west to the mall. Find how far Mickey is from the starting point.
Write your answer in the box.
Answer:
13 miles
Step-by-step explanation:
For this equation you would use the Pythagorean Theorem. \(a^{2}+b^{2} =c^{2}\) .
12 x 12 = 144
5 x 5 = 25
144 + 25 = 169
\(\sqrt{169}\) = 13
The graph below shows the total amount, y, that an electrician charges for a service call that lasts x hours.
Which of the following is the rate of change in the total amount charged with respect to the time spent on the service call?
Question 5 options:
$25 per hour
$0.04 per hour
$65 per hour
$40 per hour
The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
What is the rate of change?The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).
The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.
Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.
The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).
Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:
370 - 130 = 240
And the change in x is:
8 - 2 = 6
Therefore, the slope (rate of change) of the graph is:
240/6 = 40
So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.
Therefore, the correct option is $40 per hour.
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I need help with which one is 24 because I’m confused…
We will have the following:
In order to determine which one has an area of 24 squared units we proceed as follows:
First, we take each one and subdivide them into their component shapes and determine those areas, then we add them, that is:
First shape:
Now, we calculate the area:
\(A=A_A+A_B+A_C\)\(\Rightarrow A=(\frac{4\ast2}{2})+(2\ast4)+(2\ast6)\Rightarrow A=24\)Now, from this we can see that the first shape happens to be the shape with an area of 24 squared units,
Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3
Answer:
19.6
Step-by-step explanation:
According to the
Cosine Theorem
e² = d² + f² - 2dfcos /_E
°Cos 13° = 0.974
e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974
=752.66 - 366.516
= 386.14
e = 386.14 = 19.6
find the t-value such that the area under the t distribution to the right of the t-value is 0.10, assuming 15 degrees of freedom (d f).
The t-value such that the area under the t distribution to the right of the t-value is 0.10, assuming 15 degrees of freedom (df) is 1.753050356.
We have to determine the t-value.
The area in the right tail is 0.10 with 32 degrees of freedom(df).
The t-test is a test that is used as an alternative to the z-test in statistics. If the data are normally distributed but the sample size is small and the population standard deviation is unknown, the t-test is utilized.
A value that appears on the t distribution is the critical t value. The area under the curve and the degrees of freedom can be used to determine the t statistic value.
Using Excel Formula,
The t-value = (=TINV(0.1,15))
The t-value = 1.753050356
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A solid figure is composed of a cube and a right triangular
prism. The figure and some of its dimensions are shown in
this diagram.
- 8 cm
What is the volume of the figure?
A
6 cm
B
560 cubic centimeters
704 cubic centimeters
C 728 cubic centimeters
Answer:
Option B
Step-by-step explanation:
704 cubic centimeters
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
What is the answer to 54<45+3
Answer:
54<48
Step-by-step explanation:
If you add 45+3, you get 45.
Hope this helped.
5) A woman drinks 8 bottles of water in 2 days. How many bottles of water would she drink in 4 days?
What is the value of the expression below?
−20÷5
What type of correlation is shown in the graph?
Answer:
no correlation
Step-by-step explanation:
it shows no trend or a line thing
also i think your pic is upside down haha
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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