A football field is 53 1/3 yards wide how many feet wide is a football field
Suppose a new regulation that a maximum angle of a ramp for a wheelchairs is 8°. At least how long must the new ramp be? Round to the nearest tenth of a foot.
Answer:
The length of the ramp is at least 17.2 feet
Step-by-step explanation:
See attachment for the appropriate diagram.
The length of the ramp is represented with z
So, we have:
\(\theta = 8\)
\(BC = 2.4\)
Required
Find z
To find z, we make use of sine formula:
\(sin\theta = \frac{BC}{z}\)
Make z the subject
\(z= \frac{BC}{sin\theta }\)
So:
\(z= \frac{2.4}{sin(8)}\)
\(z= \frac{2.4}{0.1392}\)
\(z= 17.2ft\)
The length is at least 17.2 feet
If (-3, y) lies on the graph of y = 3^x, then y =
a. -1
b. 1/27
c.-27
Answer: B
Step-by-step explanation:
Substitute x = -3 into the equation.
y is equal to 3^-3 = 1/27
So the answer is B
CAN SOME TELL ME THE ANSWER
Answer:
54 kids per bus
Step-by-step explanation:
first take 7-331 and you get 324 divided by 6= 54
how many 1/2 cup servings are in 9 cups of cereal?
Answer:
18
Step-by-step explanation:
9 divided by 1/2 is the same as 9 multiplied by 2, which equals 18
Watch help video
In AUVW, the measure of
represents the cosine of
Answer:
80/89
Step-by-step explanation:
divide 16 into the ratio 3:5
Answer:
\(6,10\)
Step-by-step explanation:
Method 1:
\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 1:
\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 2:
\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
3. The mother giraffe stands 12 feet tall. The baby giraffe stands 4 feet tall. How many times as tall is the mother giraffe as the baby giraffe? A.3 times B. 4 times C. 8 times D 16 times
Answer:
A. 3 times
Step-by-step explanation:
12/4=3
Find the quotient.
28.9 ÷ 8.5
Answer:
3.4
Hope this helps!!!!
Answer:
The answer is 3.4
Step-by-step explanation:
good luck
Graph the lines: y= 4x, y = – 4, and x = - 2.
A total of 50 randomized samples were assigned into 5 different treatment groups in a pharmaceutical science experiment. Each group includes 10 persons (subjects). In order to test if any difference is discernible among these 5 treatments, one-way ANOVA was conducted for the study. Here are data we calculated: Sum of square between group = 232. Sum of square within group = 400.Subject Treatment 1 Treatment 2 Treatment 3 Treatment 4 Treatment 51 2
---
10ANOVA Summary Table
Source Sum of Square Degree of freedom Mean Square F
Between 232
Within 400
Totala. State null hypothesis and alternative hypothesis. b. Calculate the degree of freedom between group, and the degree of freedom within group. c. Mean squares between groups. d. Mean squares within groups.e. F ratiof. If critical value of F is 2.61, should we reject or accept the null hypothesis?g. State your conclusion for this research.
The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments
How to calculate the valuesDegree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45
Mean squares between groups is calculated as follows:
Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58
Mean squares within groups is calculated as follows:
Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places
F ratio is calculated as follows:
F= Mean squares between groups/Mean squares within groups
= 58/8.89
= 6.524184477
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Does y= x represent a function
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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is this correct btw I put 1400
Answer: Yes
Step-by-step explanation: The answer of 1400 is correct.
What I did is I found the area of the figure assuming it was a rectangle, then I subtracted the corners that were removed.
1800 - 150 - 100 - 150 = 1400
Answer:
Yup Its Correct
Step-by-step explanation:
The Calculated Area Al adds up to 1400
A negative number on the x-axis (-a, b) would move in what direction?
A positive number on the x-axis (+a, b) would move in what direction?
A negative number on the y-axis (a, -b) would move in what direction?
A positive number on the y-axis (a, +b) would move in what direction?
Please answer for points and brainliest!
a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.
To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.
The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).
b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.
Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.
The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).
c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.
Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).
d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.
Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).
What is a number?A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.
Examples include 30, hundred, -8, 6x, "5", 0.67, etc.
Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
Help please guys I really need it
Answer:
Hindi Nakita AHHHH ahahahaha loading kasi
DUE SOON PLEASE HELP!!!
Answer:
8 km is equal to 800,000 cm
so 800,000/16,000 which is 50
Step-by-step explanation:
so the answer is 50 cm
1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:
Theorist Approach to Learning Key Concepts
Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.
Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.
Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
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find tan C will mark branylis
Answer:
i think26 and 10
Step-by-step explanation:
Answer:
c. 12/5
Step-by-step explanation:
With reference angle C
perpendicular (P)= 24
base(b) = 10
Then
Tan < C = p / b
Tan < C = 24/ 10
Tan < C = 12/5
Hope it helps :)
Katie started knitting at 11:27 a.m.
• She knitted for 2 hours and 21 minutes.
• Five minutes after she finished knitting, she went for a 30-minute walk.
What time did Katie's walk end?
Answer:
2:22 pm
Step-by-step explanation:
To solve this problem, let's divide up the timing by activity so we know how long each event took:
Knitting for 2 hours and 21 minutes and starting at 11:27 am would mean Katie finished knitting at 1:48 pm.
5 minute break would end at 1:52 pm.
30 minute walk would end at 2:22 pm.
Hope this helped!
Answer:
it will be 2:23pm.
Step-by-step explanation:
Factorise 12x - 30 please help
Answer:
6(2x-5)
Step-by-step explanation:
Fatorizar a expressão
Answer:
6(2x-5)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
1 What is the largest number that divides evenly into 12x12x and -30−30?
It is 66.
2 What is the highest degree of xx that divides evenly into 12x12x and -30−30?
It is 1, since xx is not in every term.
3 Multiplying the results above,
The GCF is 66.
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
6(\frac{12x}{6}-\frac{30}{6})
6(
6
12x
−
6
30
)
3 Simplify each term in parentheses.
6(2x-5)
6(2x−5)
e
value of x:
3/2 (x – 4) = 2(3x + 1)
Answer:
Step-by-step explanation:
Solve for x! Someone helppp
Answer:
17.2
Step-by-step explanation:
8.7x-1.9x=116.96
6.8x=116.96
x=116.96/6.8
x= 17.2
40x^-4 y^-6/(over)10x^-5 y^5
Answer:
4x/y¹¹
Step-by-step explanation:
1) take out constants
40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵
2) simplify 40/10 to 4
4 * x⁻⁴y⁻⁶/x⁻⁵y⁵
3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ
4x⁻⁴⁺⁵y⁻⁶⁻⁵
4) Simplify -4 + 5 to 1
4x¹y⁻⁶⁻⁵
5) simplify -6-5 to -11
4x¹y⁻¹¹
6) use rule of one: ₓ¹=ₓ
4xy⁻¹¹
7) use negative power rule: x⁻ᵃ=1/xᵃ
4x * 1/y¹¹
8) simplify
4x/y¹¹
...................................................................................................
Answer:
60 in.²
Step-by-step explanation:
A = (B + b)h/2
A = (14 in. + 6 in.)(6 in.)(1/2)
A = 60 in.²
Answer:
60 in^2
Step-by-step explanation:
solution Given:
Area of the shaded region or trapezoid = Area of Rectangle ABCD - Area of triangle CDE
we have
Area of Rectangle ABCD= length* breadth =BC*AB=14*6=84 in^2
Area of Triangle CDE= 1/2* base*height=1/2*DE*CD=1/2*8*6=24 in ^2
Now
Area of the shaded region or trapezoid = Area of Rectangle ABCD - Area of triangle CDE
=84 in^2-24in^2
=60 in^2
Similarly, we have another way to calculate the area of the trapezoid;
Area = 1/2*h*(side1*side2)
=1/2*AB*(AE+BC)
=1/2*6*(6+14)
=60 in^2
Find the value of the following expression:
5 3/5 ÷ 1 1/2 = ????
Ayudaaaaaa
Porfi
Gracias
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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In preparing for a test on a set of material, is it better to study one topic at a time or to study topics mixed together? In one study,1 a sample of fourth graders were taught four equations. Half of the children learned by studying repeated examples of one equation at a time, while the other half studied mixed problem sets that included examples of all four types of calculations grouped together. A day later, all the students were given a test on the material. The students in the mixed practice group had an average grade of 77, while the students in the one-at-a-time group had an average grade of 38. What is the best estimate for the difference in the average grade between fourth-grade students who study mixed problems and those who study each equation independently?
Give the value of the best estimate.
Answer:
The difference between 77 and 38 is 39. According to this paragraph it is better to study topics mixed together
Step-by-step explanation: