Chris cannot build the triangular raised bed frame with the given lumber.
How can Chris build a triangular raised bed frame?To determine if Chris can build her triangular raised bed frame, we need to check if the length of any one of the lumber pieces is greater than the sum of the other two. If this condition is not met, the pieces can be used to build the frame.
Let's check:
4 + 5 = 9 (no)
4 + 9 = 13 (no)
5 + 9 = 14 (yes)
Since the length of the 5-foot and 9-foot lumber pieces add up to be greater than the 4-foot piece, Chris can build her triangular raised bed frame. She can use the 4-foot and 5-foot pieces for the two shorter sides of the triangle and the 9-foot piece for the longer side.
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A pet shop owner buys large bags of dry cat food that contain 10kg. He wants to make up bags that contain 200g of cat food. How many 200g bags of cat food can he make from one large bag?
Answer:
50 bags
Step-by-step explanation:
1 kg = 1000 grams
10 kg * 1000g/ 1kg = 10000 g
Divide 10000 grams by 200 g
10000g / 200g = 50
A freshman class is planning a carnival. The cost to rent the space and rides is $350 Each freshman must pay $0.50 to attend the carnival. Each guest must pay $2.00 to attend the
camival. If 100 freshmen attend the carnival, how many guests must attend in order to pay for the cost to rent the space and rides?
At least 150 guests
At least 225 guests
At least 200 guests
At least 175 guests
Answer:
150 guests
Step-by-step explanation:
workouts are in the image
help me with this please..!
Answer:
\(y \geq -4\)
Step-by-step explanation:
This is because the lowest the y-coordinate goes to is -4.
Lee was given a bag with 11 nickels, 2 half dollars, and 11 dollars.
If lee randomly pick one item out of the bag, what is the probability that he selects a dollar? GIve your answer as a reduced fraction
The probability of selecting a dollar from the bag is 11/24.
To find the probability of selecting a dollar from the given bag, we need to determine the total number of items in the bag and the number of dollars.
The bag contains:
11 nickels
2 half dollars
11 dollars
Therefore, the total number of items in the bag is 11 (nickels) + 2 (half dollars) + 11 (dollars) = 24.
The number of dollars in the bag is 11.
To find the probability, we divide the number of favorable outcomes (selecting a dollar) by the total number of possible outcomes (all items in the bag).
Probability of selecting a dollar = Number of dollars / Total number of items
= 11 / 24
Since the probability should be given as a reduced fraction, we can simplify 11/24 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 11 and 24 is 1.
Dividing both 11 and 24 by 1, we get:
Probability of selecting a dollar = 11 / 24
Therefore, the probability of selecting a dollar from the bag is 11/24.
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Approximately 3.5% of all children born in a certain region are from multiple births (that is, twins, triplets, etc.). A random sample of 20 children born in the region will be selected. What is the probability that the sample will have exactly 3 children who are from multiple births
=======================================================
Explanation:
n = 20 is the sample size
p = 0.035 is the probability of selecting someone who is from multiple births (twins, triplets, etc)
Either someone is a twin/triplet/etc or they aren't. This two option nature is a strong implication we have a binomial probability.
The binomial probability formula is
B(x) = (n C x)*(p)^x*(1-p)^(n-x)
where x is the number of successes and the n C x refers to the nCr combination formula.
We want to know the value of B(3), ie the value of B(x) when we have exactly x = 3 children from multiple births.
------------------
B(x) = (n C x)*(p)^x*(1-p)^(n-x)
B(3) = (20 C 3)*(0.035)^3*(1-0.035)^(20-3)
B(3) = (1140)*(0.035)^3*(0.965)^(17)
B(3) = 0.026673
There's roughly a 2.6673% chance of the 20 person sample having exactly 3 children who are from multiple births.
Side note: You can compute 20C3 = 1140 using the conventional nCr formula, or you can use Pascal's Triangle as an alternative route.
what is is the domain of 16 - x^2
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation:
Interval Notation:
(−∞, ∞)
Set-Builder Notation:
{x|x∈R}
Please all the steps, one by one! How can this be solved?
There are 5 full square and 6 triangles that are half squares.
5 + (6)(1/2) = 5 + 3 = 8
You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area. But counting works well in this example.
Answer: 8
Step-by-step explanation:
First you split up this shape into two different shapes, a triangle and trapezoid
Put a line through the coordinates (-2,2) to (-1,2); the top is a triangle and the other is a trapezoid
Area of the trapezoid is A = .5x (base1 + base2) x height
base1 of the trapezoid goes from -4 to -1 which is 3
base2 goes from -2 to -1 which is 1
height is 0 to 2 whcich is 2
A = .5 x (3+1) x 2 = 4
Now area of a triangle is A = .5 x base x height
the base goes from -2 to 2 which is 4
the height goes from 2 to 4 which is 2
A = .5 x (4) x (2) = 4
Area of the Trapezoid + Area of the Triangle = Total Area
4 + 4 = 8
The ratio of athlete's to non athletes at Browns Primary School is 3:4. If there are 225 athletes in the school, how many non athletes are there?
Answer:
300
Step-by-step explanation:
there are 225 athletes in the school.
225/3 = 75
75 * 4 = 300
there are 300 non athletes at the school.
Number of non-athletes is 300
Given that;
Ratio of athletes to non athletes = 3:4
Number of athlete = 225
Find:
Number of non-athletes
Computation:
Number of total people = 225 [(3+4) / 3]
Number of total people = 225 [(7) / 3]
Number of total people = 225 [(3+4) / 3]
Number of total people = 525
Number of non-athletes = 525[4 / 7]
Number of non-athletes = 300
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If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
let f be a differentiable function such that f(1)=2 and f′(x)=x2 2cosx 3−−−−−−−−−−−−−√. what is the value of f(4) ?O 10.790 O 8.790 O 12.996 8.790 O -6.790
The value of the function at x = 4 is 8.79.
What is Tangent Line Approximation?Tangent line approximation is the approximation of any function using a linear function. It is also called as linear approximation.
It allows us to approximate the value of a general function with a more simpler linear function.
Given that,
f(1) = 2
f'(x) = \(\sqrt{x^{2} +2cos x + 3}\)
We have the formula for linear approximation as,
f(x) = f(a) + f'(a) (x - a)
Here x = 4 and a = 1
f(a) = f(1) = 2
f'(a) = f'(1) = \(\sqrt{1^{2} +2cos 1 + 3}\) = 2.254
Substituting,
f(4) = 2 + (2.254) (4 - 1)
= 8.762 ≈ 8.79
Hence the value of f(4) is 8.79.
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7th grade math help me please :)
Answer:
$288
Step-by-step explanation:
16+8=24
$24 per book
24 x 12 = 288
a(a - b)+b(a - b) + (a - b)²
Answer:
a^4 - b^4
Step-by-step explanation:
a(a - b) + b(a - b) + (a - b)^2 --> Given
a^2 - ab + b(a - b) + (a - b)^2 --> Distributive Property
a^2 - ab + ba - b^2 + (a - b)^2 --> Distributive Property
a^2 - ab + ba - b^2 + a^2 - b^2 --> Distributive Property
a^4 - ab + ba - b^2 - b^2 --> Combine Like Terms
a^4 + 0 - b^2 - b^2 --> Combine Like Terms (a * b = b * a)
a^4 - b^4 --> Combine Like Terms
Dean's savings account started with $100. After one year, it had $110. The
second year, it had $121. The third year it had $133.10.
Is a single linear model a reasonable option for this data? Yes or No?
The statement that answers the linear model possibility is NO
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Initial = 100
Year 1 = 110
year 2 = 121
year 3 = 133.10
The savings account balance is increasing at an inconsistently increasing rate, which is not linear.
The savings account starts with $100, and increases by $10 in the first year, by $11 in the second year, and by $12.10 in the third year.
This is an example of exponential growth, which cannot be modeled by a single linear equation.
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In 2014, Congress cut $8.7 billion from the Supplemental Nutrition Assistance Program (SNAP), more commonly referred to as food stamps. The rationale for the decrease is that providing assistance to people will result in the next generation of citizens being more dependent on the government for support. Hoynes (2012) describes a study to evaluate this claim. The study examines 60,782 families over the time period of 1968 to 2009 which is subsequent to the introduction of the Food Stamp Program in 1961. This study examines the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. The study assembled data linking family background in early childhood to adult health and economic outcomes. The study concluded that the Food Stamp Program has effects decades after initial exposure. Specifically, access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and, for women, an increase in economic self-sufficiency. Overall, the results suggest substantial internal and external benefits of SNAP. a. Identify the population that is of interest to the researchers. b. Describe the sample. c. What characteristics of the population are of interest to the researchers
Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.
The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.
Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.
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In 734.810, which digit is in the tenths place
Answer:
8 is in the tenths place
Step-by-step explanation:
734.810
hundreds tens ones . tenths hundredths thousandths
Answer:
8
7 = hundreds place
3 = tens place
4 = ones place
8 = tenths place
1 = hundredths place
0 = thousandths place
Hope it helps!
How do I graph the following quadratic function ?
Answer:
d
Step-by-step explanation:
students deliver catalogues and leaflets to houses.
one day, they have to deliver 480 catalogues and 1520 leaflets
each student can deliver either 15 catalogues or 80 leaflets in 1 hour
each student can only work for 8 hours
all students hired are paid £50.40 per day, even if they don't work a full day
if the minimum number of students are hired, how much will the wage be?
The minimum wage will be £403.20.
What is the ratio?A ratio is a mathematical relationship that demonstrates how frequently one number contains or is contained inside another. Two numbers are compared using it.
Given:
Each student can deliver 15 catalogues or 80 leaflets per hour. Therefore, in 8 hours, each student can deliver:
15 catalogues/hour x 8 hours = 120 catalogues
80 leaflets/hour x 8 hours = 640 leaflets
To determine which of these two options will yield a higher number of catalogues and leaflets delivered:
we can calculate the ratio of catalogues delivered to leaflets delivered for each option.
Option 1:
15 catalogues/hour x 8 hours = 120 catalogues delivered;
120 catalogues / 480 total catalogues = 0.25 (catalogue delivery ratio)
Option 2: 80 leaflets/hour x 8 hours = 640 leaflets delivered;
640 leaflets / 1520 total leaflets = 0.42 (leaflet delivery ratio)
Since Option 2 has a higher delivery ratio, we will use this option to determine the minimum number of students required.
To deliver 1520 leaflets in 8 hours, each student needs to deliver:
1520 leaflets / 8 hours = 190 leaflets
Therefore, the minimum number of students required is:
480 catalogues / 120 catalogues per student = 4 students
1520 leaflets / 190 leaflets per student = 8 students
Since we need at least 8 students to deliver the required number of leaflets, we will hire 8 students. The number of catalogues delivered by these students will be:
15 catalogues per student per hour x 8 hours x 4 students = 480 catalogues
The total wage for the 8 students will be:
8 students x £50.40 per day = £403.20
Therefore, the wage for the minimum number of students required to deliver the catalogues and leaflets is £403.20.
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Answer:
answer :£352.80
Step-by-step explanation:
1520÷80=19 hours =3 students needed
480÷15=32=4 students needed
7×50.40=352.80
Nicole received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.34 per pound. After buying the coffee, she had $64.98 left on her card. How many pounds of coffee did she buy? Help hurry please
Answer:
Step-by-step explanation:
Step 1:
Subtract total amount of git card from remanning balance.
90-64.98= $25.02
Step 2:
Divide $25.02 / 8.34= 3lbs
Hope that helps.
whats 78,563 divided by 98
Ty for whoever helps me <3
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
In the last 10 presidential elections the democratic candidate has won six times in michigan and four times in ohio
In the last 10 presidential elections, the Democratic candidate has won six times in Michigan and four times in Ohio.
In the context of presidential elections, Michigan and Ohio are two key swing states that often play a crucial role in determining the outcome of the overall election. The statement indicates that in the last 10 presidential elections, the Democratic candidate emerged victorious six times in Michigan and four times in Ohio.
This information suggests that Michigan has been a more favorable state for the Democratic candidate compared to Ohio in recent election cycles. The Democratic candidate's success in Michigan for six out of the last 10 elections implies a higher level of support or electoral advantage in that state.
On the other hand, the Democratic candidate won four out of the last 10 elections in Ohio, indicating a relatively more balanced or competitive political landscape in that state. While the Democratic candidate has had some success in Ohio, the Republican candidate likely secured victories in the remaining six elections.
The varying electoral outcomes in these swing states highlight the importance of analyzing the political dynamics, demographics, and voting patterns within each state to understand the factors that contribute to election results. These results can provide insights into the electoral strategies, voter preferences, and overall political landscape of Michigan and Ohio.
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The total length of a road trip was 13.2 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
There will be 221 highway signs on the road trip.
What is Total Length?
Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).
The total length of the road trip is 13.2 hours.
Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:
(number of signs) = (total length of road trip) / (interval between signs) + 1
Substituting the values, we get:
(number of signs) = 13.2 / 0.06 + 1
(number of signs) = 220 + 1
(number of signs) = 221
Therefore, there will be 221 highway signs on the road trip.
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A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams
Answer:
y = 64(0.5)ˣ
Step-by-step explanation:
We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.
Your cell phone plan costs $29.99 plus $0.17 for each text message you send or receive. You have at most $34 to spend on your cell phone bill. Remember to define your variable and show work.
a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
40°
Step-by-step explanation:
∠AOE and ∠COD are vertical angles meaning they have the same value.
40. V6x + 6-6=0 a. 6 b. 16 c. 5
Answer:
6 - 6 = 0 but 6 and 15 = 21, ohhhhhhh roasted
Step-by-step explanation:
John gave 3 1 by 4 of a box of chocolates to jenny and 2 by 4 of the box to jade how much of the box of chocolates did john give away?
Answer:
x=120
Step-by-step explanation:
Are the fractions 1/4 and 3/12 common denominators?
Answer:
No
Step-by-step explanation:
Common denominators are the same number. Since 1/4 has a denominator of 4 and 3/12 has a denominator of 12 they are not the same, and therefore are not common denominators.
Answer:
no
Step-by-step explanation:
Sully has a loan which he repays every month. If the loan amount includes interest, his loan amount due, in dollars, after t years, is shown by the following expression.
7,000(0.90)^12t
Which statement below best describes the coefficient, 7,000?
A. The number of times sully repaid the loan since he began making payments
B. Sully’s initial loan amount
C. The decrease in Sully’s loan amount every month
D. The rate at which Sully repays the loan
i would say its B. The initial loan amount
Answer:
Sully's initial loan amount
edit: i accidently rated my answer as 1 star but i promise its right