Answer: 15h^2 + 26h -21
Step-by-step explanation:
Use the foil method. Multiply in this order
First, 5h*3h= 15h^2
outer, 5h*7 = 35h
inner, -3*3h= -9h
last, -3*7= -21
Now add them all together
15h^2 + 35h + -9h + -21
Combine like terms
15h^2 + 26h -21
If Joel’s family starts with a full tank of gas, can they drive the car for 15 days without the warning light coming on?
Answer:
Yes they can drive for 15 days without the light
Step-by-step explanation:
If its 0.5 gass each day 0.5 gas ×15days that would be 7.5
Find the midpoint between A(8, -7) and B(4,3).
M=(
)
Answer:
(6,-2)
Step-by-step explanation:
What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
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Manufacturer inspects 200 personal video players and finds that 195 of them have no defects. The manufacturer sent a shipment of 1000 video players to a distributor. Predict the number of players in the shipment that are likely to have no defects
It is likely that 975 players in the shipment of 1000 video players will have no defects.
To predict the number of players in the shipment that are likely to have no defects, we can use the proportion of defect-free players observed in the sample.
In the given sample of 200 video players, 195 of them have no defects. This means that the proportion of defect-free players in the sample is 195/200.
To estimate the number of defect-free players in the shipment of 1000 video players, we can use the same proportion. We multiply the proportion by the total number of video players in the shipment:
Number of defect-free players = Proportion of defect-free players * Total number of players
Number of defect-free players = (195/200) * 1000
Calculating this expression:
Number of defect-free players = (195/200) * 1000 = 975
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The volume of a triangular pyramid is 24 units
3
3
. If the base and height of the triangle that forms its base are 6 units and 4 units respectively, find the height of the pyramid.
The height of the pyramid is 6 units.
How to find the height of the pyramid?The formula for the volume of a triangular pyramid is given by:
V = (1/3) * A * h
where V is the volume, A is the area of the base, and h is the height of the pyramid.
We know that the volume of the pyramid is 24 \(units^3\) and the area of the base is:
A = (1/2) * base * height = (1/2) * 6 * 4 = 12
Substituting these values into the formula for the volume, we get:
24 = (1/3) * 12 * h
Multiplying both sides by 3, we get:
72 = 12 * h
Dividing both sides by 12, we get:
h = 6
Therefore, the height of the pyramid is 6 units.
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Question is in the attached photo.
Answer:
#9a)
Parallels of latitudeb)
i)
5 major circles: the Arctic Circle, the Tropic of Cancer, the Equator, the Tropic of Capricorn and the Antarctic Circleii)
One - equator#10Radius of the parallel of latitude 25°N is equal to symmetrical one, which is 25°SThe football team has a total of 50 jerseys.there are 15 medium sized jerseys. What percent the jerseys are medium-sized jerseys
Answer: 30%
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
\(\frac{15}{50}\)×100=30
1. Mohamed bought 18 fish for his fish tank. He selected some Guppies and Platies. Mohamed really likes Guppies, so he bought three more than twice the number of Platies.
How many Guppies did Mohamed purchase?
Enter your answer in the box.
Mohamed purchased ____ Guppies for his fish tank.
2. The admission fee at the movies is $2.70 for children and $5.25 for adults. On a certain day, a total of 125 people entered the theater and $434.40 was collected.
How many adults were are the movies?
Enter your answer in the box.
There were ____ adults at the movies.
3. At the checkout counter a customer purchased a total of 20 cans of cat and dog food. The canned cat food cost $1.23 per can and the dog food cost $2.74 per can. Before taxes the cost for the cat and dog food was $41.21.
How many cans of dog food were purchased?
Enter your answer in the box.
There were ____ cans of dog food purchased.
4. There are a total of 25 deer in the front pasture. There are five more does than quadruple the number of bucks.
How many bucks are in the front pasture?
Enter your answer in the box.
There are ____ bucks in the front pasture.
Answer:
Step-by-step explanation:
1. 13
2. 38
3. 11
4. 4
Find the missing term in the geometric sequence : 8 , 20 , 50, 125 , ____
Answer:
312.50
Step-by-step explanation:
8 , 20 , 50, 125 , 312.50
First term, a = 8
Second term, ar = 20
Find common ratio, r
Substitute a = 8 into second equation
ar = 20
8r = 20
r = 20/8
r = 2.5
Find the fifth term
ar⁴
= 8 * 2.5⁴
= 8 * 39.0625
= 312.50
Fifth term, ar⁴ = 312.50
crystal is 12 yearold and alexa is 6 years old.if crystal runs 100 yards how far does alexa run?how far do they run together?
Answer:
Alexa will run 50 yards.
They will run 150 yards together.
Step-by-step explanation:
Since Crystal is twice the age of Alexa, we can divide 100 yards by 2, and Alexa will only be running 50 yards.
Since Crystal ran 100 yards, and Alexa ran 50 yards:
100 + 50 = 150 yards ran together.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 14 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral AB'CD'. The coordinates of A' are ( )
The reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D*. The coordinates of A" are ()
The coordinates of A' are (5, -3).
Since the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D, the coordinates of A" are (8, -1).
What is a reflection?In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
Since quadrilateral A'B'C'D' underwent a reflection across the x-axis to form quadrilateral AB'CD', the original coordinates of triangle NLM can be calculated as follows;
(x, y) → (-x, y)
A (-5, -3) → A' (5, -3)
By applying a translation, we have:
A' (5, -3) → (5 + 3, -3 + 2) = A" (8, -1).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
20 points!~ And thanks if you help me.
Answer:
Step-by-step explanation:
C its CCCCCCCCCCCCCC
orange squash diluted 1 part squash to 7 parts water. Making 2 litres of diluted squash. How much water is needed?
We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water
The number of waterTo make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.
We can do this by using the following formula:
Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.
Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres
Now we can use the formula to find out how much water is needed:
Water = 2 litres - 0.25 litres = 1.75 litres
Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.
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(3, 5) is an example of a(n) ___. Three is the horizontal value and five is the vertical value.
Answer:
A point. (3,5) represents a point that is 3 units to the right of the Y-axis (x = 3) and 5 units above the X-axis (y = 5).
Step-by-step explanation:
To plot a point, you start at origin and move however many units are specified. To do this, you can either;
A.) Start at origin. Move along the X-axis to 3, and then go straight up five units on the Y-axis. This will plot the point.
B.) You can also do this with your other value. Starting at origin, move along the Y-axis to 5. Go right on the X-axis three units, and you will be at the same point.
•PLEASE HELP!!!•
The blue dot is at what value on the number line?
Answer:
1
Step-by-step explanation:
there are 4 spaces between each big mark
What is the solution of the system of equations below?
x + 3y = 7
2x - y = 7
Answer:
y = 1
x = 4
Step-by-step explanation:
x + 3y = 7 → ( 1 )
2x - y = 7 → ( 2 )
First, let us make x the subject in equation ( 1 ).
x = 7 - 3y → ( 3 )
Let us find the value of y.
For that let us take equation (1) & replace x with ( 7 - 3y ).
2x - y = 7
2 ( 7 - 3y ) - y = 7
Solve the brackets.
14 - 6y - y = 7
Combine like terms.
14 - 7y = 7
Subtract 14 from both sides.
-7y = 7 - 14
-7y = -7
Divide both sides by -7.
y = 1
Let us find value of x
For that let us take equation (3) & replace y with 1.
x = 7 - 3y
x = 7 - 3 × 1
x = 7 - 3
x = 4
I need so much help please save me
Answer:
Step-by-step explanation:
One of the Answers is C
Rewrite as a single logarithm: log 8 + log 3
log 8 + log 3
log ((8)(3)) (Using the product rule of logarithms)
log (24) (Multiplying)
The answer is log(24)
In an investigation of population density in Africa, it was found that the density was 15 people/km2. How many people would you expect to find in an area of 1500 by 1.4km?
Answer:
31,500
Step-by-step explanation:
Multiply the population density by area to get the total population in an area
Density = 15 per km²
Area = 1500 x 1.4 = 2100 km²
Population in 2100 km² = 15 x 2100 = 31,500
9:45 on Tuesday Questions
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Answer:
Neither
Step-by-step explanation:
-12x + 3y = 3
y = 4x + 1
y = mx + b
The second equation given is set up in the correct form already (y = 4x + 1)
We have to convert the first equation into the same format
-12x + 3y = 3
Isolate the y
3y = 3 + 12x
Divide the 3 from the y and the other side
y = 1 + 4x
y = 4x + 1
This is the same as the first equation
They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither
In the first picture can you please answer all of them in order I'm not sure if my answers are correct.
The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs
EquationTotal attendance = 75 peopleCookies in each pack = 12Brownies in each pack = 15Number of cookies pack = cNumber of brownies pack = b15b + 12c = 75
If 1 package of brownies is bought
15b + 12c = 75
15(1) + 12c = 75
15 + 12c = 75
12c = 75 - 15
12c = 60
c = 60/12
c = 5 packs
It is a reasonable value in this contextIf 9 packages of brownies are bought
15b + 12c = 75
15(9) + 12c = 75
135 + 12c = 75
12c = 75 - 135
12c = -60
c = -60/12
c = -5 packs
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Analyzing the Discrim
Which values of c will cause the quadratic equation-x²+3x+c=0 to have no real number solutions? Check all that
apply.
0-5
0 0 0
9
Intro
ant of a Quadratic Equation
Done
The values of x that will give the quadratic equation no real number solutions are -5 and 9
What are real roots of a quadratic equation?Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.
Analysis:
We have -\(x^{2}\) +3x +c = 0
\(b^{2}\) - 4ac is called the discriminant of a quadratic equation.
if \(b^{2}\) - 4ac < 0, then the quadratic equation has no real root.
where a = -1, b = 3 c = c
\((3)^{2}\) -4(-1)c < 0
9 + 4c < 0
4c < -9
c < -9/2
Which means values lower than -9/2 would give the solution no real root.
From, the options, only -5 would give no real solution, since it is lower than -9/2.
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what figure is a rotation of figure
Answer:
b
Step-by-step explanation:
what grade?
Cameryn mixes 1 1 4gallons of water with 5 6gallons of food coloring to create a solution for her science project. If Cameryn only uses 2 gallons of the solution for her experiment, how many gallons of solution will be leftover?
Answer: 1/12
Step-by-step explanation:
From the question, we are informed that Cameryn mixes 1 1/4 gallons of water with 5/6 gallons of food coloring to create a solution for her science project. The gallons for the solution will then be:
= 1 1/4 + 5/6
= 1 3/12 + 10/12
= 1 13/12
= 1 + 1 1/12
= 2 1/12
If Cameryn only uses 2 gallons of the solution for her experiment, the number of gallons of solution that will be leftover will be:
= 2 1/12 - 2
= 1/12 gallons
Strat time 3:30 pm end time 7:00 pm what is the elapsed time.
Answer:
3 hrs. 30 mins.
Step-by-step explanation:
7:00 - 3:30
A bag of tiles contains 6 green 4 yellow and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile?
It would be appreciated if you could may help me with this
Answer:
Answer for the first pic is 122.24
Answer for the second pic is A
Step-by-step explanation:
the rectangle is 72 in
the semi-circle is 50.24
Answer for the first pic: 122.24 in
Answer for the second pic: A
Quick question cuz i'm not good with algebra but here (question is in screenshot).
The axis of symmetry for each function in this problem is given as follows:
f(x): x = -2.g(x): x = 2.How to define the quadratic function given it's vertex?The quadratic function of vertex(h,k) is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The axis of symmetry of a quadratic function is given as follows:
x = h.
Hence for function g(x) the axis of symmetry is given as follows:
x = 2.
For function f(x), the turning point of the curve is at the x-coordinate of -2, hence it is given as follows:
x = -2.
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What is 7/9 divided by 1/3
Answer:
\({ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} \)
Im stuck please help
Answer:
\(\huge\boxed{\sf c = \frac{T}{6} - \frac{2}{3}}\)
Step-by-step explanation:
Let c be the cost of cheese and T be the total cost.
Cost of bread = $4
Cost of 1 cheese = $6
Cost of c cheese = $6 × c
Cost of c cheese = 6c
Total cost, T:T = cost of 1 bread + cost of c cheese
T = 4 + 6cSolving for c:
T = 4 + 6c
Subtract 4 from both sidesT - 4 = 6c
Divide both sides by 6\(\displaystyle \frac{T-4}{6} = c\\\\We \ can \ also \ write \ it \ as:\\\\\frac{T}{6} - \frac{4}{6} = c\\\\c = \frac{T}{6} - \frac{2}{3} \\\\\rule[225]{225}{2}\)