Answers:
1st box: 0
2nd box: 67
===============================================
Explanation:
The y intercept always occurs when x = 0. This is when the function curve either crosses or touches the vertical y axis. Therefore, the y intercept is when the student studies 0 hours
Plug x = 0 into the equation
y = 2.7x + 67
y = 2.7*0 + 67
y = 67
Or you can note that the equation is of the form y = mx+b
m = slope = 2.7b = 67 = y interceptThe y-intercept of 67 tells us that the person studying for 0 hours is estimated to get a score of 67
Find the perimeter of a rectangle with a diagonal of 20 inches that make angle measure 30 and 60 using trigonometric function (sine, cosine, tangent)
The perimeter of the rectangle is 20 + 20√3 inches.
How to find the perimeter of a rectangle?The perimeter of a rectangle is sum of the whole side of the rectangle. The side bounded by the rectangle is the perimeter of the rectangle.
Therefore, the diagonal of the rectangle is given as 20 inches.
Using trigonometric ratios, let's find the sides of the rectangle.
sin 30 = opposite / hypotenuse
sin 30 = x / 20
x = 20 sin 30
x = 20 × 0.5
x = 10 inches
Therefore, using Pythagoras theorem,
20² - 10² = b²
b² = 400 - 100
b = √300
b = √100 × 3
b = 10√3
Hence,
perimeter of the rectangle = 2(l + w)
perimeter of the rectangle = 2(10 + 10√3)
perimeter of the rectangle = 20 + 20√3
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PLS HELP!!!
30 = y/2 + 8
y = ____
Answer:
y = 44
Step-by-step explanation:
y = 300
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Steps are in the attached picture!
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Joke: What runs around a farm but doesn’t move?
Answer: A fence.
Have a great day and God bless! :D
What is the value of y in the equation 2(2y − 16) = 0? (5 points)
a 4
b 6
c 8
d 9
Answer:
the options are wrong
Step-by-step explanation:
open the bracket2(2y)2(-16)=04y-32=0make y the subject of formulary=-32÷4y=-8Answer:
C. 8
Step-by-step explanation:
2 x 8 = 16
16 - 16 = 0
2 x 0 = 0
750 people go on a coach trip
each coach can hold 55 people
How many coaches are needed
Step-by-step explanation:
750 people go on a coach trip each coach can hold 55 people How many coaches are needed?
750/55 = 13.636 coaches are needed.
Because you cannot have a partial coach, you round up to needing 14 coaches.
What are some Mathematical Concepts for Slopes and equations? Any kind of help would be much appreciated.
Answer:25256
Step-by-step explanation:
-34, -21, -8.5 Complete the recursively defined function to describe this sequence.
The recursive definition of the arithmetic sequence -34, -21, -8 is:
f(1) = -34.f(n + 1) = f(n) + 13.What is an arithmetic sequence?It is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
An arithmetic sequence can also be defined recursively, as follows:
[tex]f(1) = a_1[/tex]f(n + 1) = f(n) + d.In this problem, the sequence is given as follows:
-34, -21, -8.
Hence the first term and the common ratio are given as follows:
First term: -34.Common ratio: 13, as each term is the previous term added to 13.Hence the recursive definition of the sequence is:
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Gabriel Harris earns an annual salary of $156,000 as CFO of
TechMedia, Inc. He is married and claims three dependents. TechMedia
recently converted from a weekly pay plan to a monthly pay plan.
How much more will Gabriel have deducted from his monthly pay
than from his weekly pay for state income tax?
Answer:
Step-by-step explanation:
Gabriel Harris earns an annual salary of $156,000 as CFO ofTechMedia, Inc. He is married and claims three dependents. TechMediarecently converted from a weekly pay plan to a monthly pay plan.How much more will Gabriel have deducted from his monthly paythan from his weekly pay for state income tax?
what is the best point estimate for the population's standard deviation if the sample variance is 49.7? round your answer to one decimal place, if necessary.
Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1
What is the relation between standard deviation and sample variance?In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.
The square root of the variance yields the standard deviation, i.e.
Standard deviation = [tex]\sqrt{variance[/tex]
Given that sample, the variance is 49.7 and we have to calculate the standard deviation.
Standard deviation (σ) = [tex]\sqrt{variance[/tex]
= [tex]\sqrt{49.7}[/tex]
= 7.0498
=7.1
Hence, the standard deviation for the population for the given variance is 7.1
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Heather is planning her birthday party at the rink. the graph below shows the total cost including the fee to rent the party room and the price for each guest.
130 for 2
140 for 4
150 for 6
how much for the party room
how much for each guest
what's the equation for the total cost for the party
how much for 15 people and the party room
Step-by-step explanation:
I skipped the answer line because they are pasted below.
Since there is a ten dollar difference for two people, each guest is 5 dollars. If each guest is 5 dollars, the party room is 120. If we want to create an equation, we have:
y=5x(each guest is 5 dollars)+120(the basic fee).
If we use 15 here, we have that it will be $195.
ANSWERS DOWN HERE:
1. $120
2. $5
3. y=5x+120
4. $195
A single bathc of your mother resipe for slalsa call for 3 tomatos. 1/4 cup cilantro,1/2 onion, and spices. you are having a party and need 5 batches of salsa how many cups of onions do you need?
To produce five constructive batches of salsa, 2.5 cups of onion will be needed.
What is unitary method of problem solving?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.
Given, the number of onions required to produce one batch = 0.5 cup(s)
∴ The number of onions required to produce five batches = 0.5×5
= 2.5 cup(s)
Thus, to produce five constructive batches of salsa, 2.5 cups of onion will be needed.
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J is the midpoint of segment CT.
CJ = 9x + 1
JT = 2x + 15
Find CT.
The length CT of the line segment is 38 units
How to determine the length of CT?From the question, we have the following parameters
CJ = 9x + 1
JT = 2x + 15
Also, we understand that:
Point J is the midpoint of segment CT.
This means that
CJ = CT
So, we have
9x + 1 = 2x + 15
Evaluate the like terms
7x = 14
So, we have
x = 2
Length CT is calculated as
CT = 9x + 1 + 2x + 15
So, we have
CT = 9 x 2 + 1 + 2 x 2 + 15
Evaluate
CT = 38
Hence, the length is 38 units
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help pls thank you ( i need 2 answers )
Answer:
a. 111.5 / 100
b. 1.15 feet
Step-by-step explanation:
a. if Eloise's statue is 1/100th of the height, it means that for every 100 cm of height of the actual statue, Eloise will have 1cm on hers.
Therefore the division problem 111.5 / 100 can be used to calculate the height of her statue in feet.
b. 111.5 feet / 100 = 1.15 feet
I need help please because I am failing in math
Answer:
what do you need help with?
Answer:
Step-by-step explanation:
You need a picture of the item.
the recursive formula for the height above the ground on the nth step of the stairs show is an=an-1+4 with a1=7 what explicit formula finds the height above the ground of the nth step?
The explicit formula is a_n = 3+4n
From the question, we have
a1 = 7
We know that,
a_n = a_1 +(n-1)d
a_n = 7 +(n-1)4
a_n = 7+4n-4
a_n = 3+4n
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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I need help asap… Is this relation a function or no ?
Answer:
Step-by-step explanation:
yes, it is a function
Answer: no
Step-by-step explanation: you have -2,-5 and -2,0 you cant have 2 or more x values that are the same.
One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x, where x is the number of times the root splits. What is the domain of f(x)? CLEAR CHECK All positive integers All positive integers less than or equal to 4 All integers All positive integers greater than or equal to 4
The domain of the function represented as .f(x) is (b) All positive integers less than or equal to 4
How to determine the representation of the domain?The equation of the function is given as
f(x) = 3x
Where
x = Number of splits
f(x) = number of new roots in each split
From the question, we have
Splits = 4
This means that the maximum value of x is 4
The other values of x would be
x = 1, 2, 3, 4
This can be represented as
0 ≤ x ≤ 4
The interpretation of the above notation is all positive values less than or equal to 4
Hence, the domain value is option (b)
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Please answer part d
Answer:
∆JGF ≅ ∆GJH by the SAA Postulate
Step-by-step explanation:
Given a figure showing two triangles with a common side, and two marked angles not at either end of that side, you want to know the applicable congruence postulate.
SAAThe letters S and A in the congruence postulate references refer to "Side" and "Angle". The sequence of the letters corresponds to the sequence of corresponding parts in the triangles.
In the given figure, two angles in each triangle are marked with a single arc and a double arc. The triangles share a side that has the double-arc angle at one end. Hence, the sequence of corresponding parts can be seen to be (common) Side - (double-arc) Angle - (single-arc) Angle. The SAA congruence postulate applies.
∆JGF ≅ ∆GJH by the SAA Postulate
helen buys two pineapples she pays with a £5 note and gets £3.60 change work out the cost of one pineapple
Answer:
Each pineapple costs £0.70.
Step-by-step explanation:
Let P be the number of pineapples Helen purchased and C the cost per pineapple, in £.
Helen's total cost would be: P*C = total cost.
The total cost is the difference between £5 and £3.60, which is £1.40.
We are given P (the number of pineapples, 2) and the total cost (£1.40) , so enter those numbers in the equation:
P*C = total cost
2*C = £1.40
C = £0.70
Can anyone write the equation of the graph?
The equation of given graph is y = |x - 3| + 5.
The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.
Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.
As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.
So, by putting the value of vertex in general equation we get the equation of the graph,
y = |x - 3| + 5
Therefore, the equation of given graph is y = |x - 3| + 5.
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a news poll which estimated that 82% of all voters believe global warming exists had a margin of error of /- 3%. suppose an environmental group planning a follow-up survey on this issue wants to determine a 95% confidence interval with a margin of error of no more than 2%. how large a sample do they need? (for estimate of p use 0.82)
The needed sample size is 1419. Sample Size is defined as the number of observations in the study.
In the question we have ,
estimate value of all voters who believe global warming ( p) = 82% = 0.82
margin of error (M.E) = 2% = 0.02
confidence of interval is calculated by estimate point value and add or subtract margin of error .
here,we have the value of confidence of interval is 95% = 0.95
Margin of error formula is
M.E = Z × √(p(1-p)/n)
where, p --> is estimated value
n---> sample size , which we required
Z ----> is z-value for observation
for the confidence of interval level 95% , the Z-value is 1.96 exist.
put all value in above formula we get,
0.02 = 1.96 × sqrt( ( 0.82)(1-0.82)/n)
=> 0.02 = 1.96× √(0.82×0.18/n)
= 0.02/1.96 = √0.1476/n => 0.000104= 0.1476/n
=> n = 1419
So, sample size is large and it is 1419.
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In a circle, the length of an arc intercepted by a central angle is 12 mm, and the radius of the circle
8 is 8 mm. What is the measure, in radians, of the angle?
Answer:
1.5
Step-by-step explanation:
we calculate the circumference of this circle.
circumference of a circle=2πr
data:
r=8 mm
circumference=2(8 mm)π=16π mm
2)we calculate the measure, in radians of the angle.
We know that:
circumference of a circle=2π radians
therefore:
16π mm=2π radians.
16 π mm--------------------------2π radians
12 mm----------------------------- x
x=(12 mm * 2π radians) / 16π mm=1.5 radians.
y=4x^2-8x+3
find the vertex form
The vertex of the quadratic equations is at (1, -1), then the vertex form will be:
y = 4*(x - 1)^2 - 1
How to find the vertex form?For a quadratic equation with leading coefficient a and a vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
And for a equation: y = a*x^2 + b*x + c
The x-value of the vertex is at:
h = -b/2a
In this case, we have:
y = 4x^2 - 8x + 3
So the x-value of the vertex is at:
h = -(-8)/2*4 = 1
To get the y-value we evaluate in x = 1
y = 4*1^2 - 8*1 + 3
y = 4 - 8 + 3 = -1
The vertex is at (1, -1) and the leading coefficient is 4, then the vertex form is:
y = 4*(x - 1)^2 - 1
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Type the correct answer in the box. use numerals instead of words. the weight of a bag of golf balls varies directly as the number of golf balls in the bag. if a bag of 69 golf balls weighs 2,553 grams, how many golf balls are in a bag that weighs 1,110 grams? number of golf balls:
A total of 30 golf balls are there in the bag that weighs 1110 grams.
A total of 69 golf balls weights 2553 grams in a bag.
It is asked that how much golf balls does make 1110 grams of weight.
Let us say that the weight of one ball is X.
So, Using unitary method,
We can write,
69 times mass of one golf ball = 2553 grams.
69X = 2553
X = 2553/69
X = 37 grams.
Hence, the weight of one ball is 37 grams.
Now, let us say that Y balls weights 1110 grams,
So, we can write,
Y time weight of one ball = 1110
37Y = 1110
Y = 1110/37
Y = 30.
Hence, 30 golf balls will weight 1110 grams.
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Answer:
30
Step-by-step explanation:
Find x
35°
100°
X
algebra 1
Answer:
X would be 135 degrees
Step-by-step explanation:
35 is a vertical angle
180-(100+35) = 45
By supplements, 180-45 = 135 which would be your answer
hope this helps
the value o f x is 135, it mean x=135°
which expressions are equivalet to the one below check all that apply (7^3) * (7^x)
A. 49^3x
B. (7 * x)^3
C. 343 * 7^x
D. 7^(3+x)
E. 7^(3x)
F. 7^(3-x)
For given expression (7^3) * (7^x) equivalent expressions are:
343 * 7^x and 7^(3+x)
The correct options are option (C) and option (D)
In this question, we have been given an expression (7^3) * (7^x)
We need to find expressions that are equivalent to given expression.
Consider given expression (7^3) * (7^x)
We know that 7^3 = 343
So given expression becomes, (7^3) * (7^x) = 343 * (7^x)
For given expression, the bases of the exponents are equal.
so, by the properties of exponents
(7^3) * (7^x) = 7^(3 + x)
Therefore, for given expression (7^3) * (7^x) equivalent expressions are:
343 * 7^x and 7^(3+x)
The correct options are option (C) and option (D)
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Apply the distributive property to
create an equivalent expression.
(-7c + 8d)0.6
Answer: -4.2c + 4.8d
Step-by-step explanation:
Multiply each number by 0.6 to get -4.2c + 4.8d.
you are going to paint the 6-sector spinner shown. there are 4 colors to choose from. 0 how many different ways can you paint the spinner, if each color can be used more than once, and: there are no other restrictions?
The different ways can paint the spinner is [tex]4^{6}[/tex].
Permutation and Combination:
A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
Here it is given that to paint the 6-sector spinner shown there are 4 colors to choose from.
The total number of ways to color this spinner with 6 different parts and 4 different colors is 4 × 4 × 4 × 4 × 4×4 = [tex]4^{6}[/tex] ways
Therefore the ways is [tex]4^{6}[/tex].
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30 point reward if you help ! find the volume of each shape and then compare. do not reduce your fractions.
The volume of the cuboid is [tex]\frac{6}{125}[/tex] and The volume of the cube is [tex]\frac{8}{27}[/tex]
The comparison of both a cube and a cuboid have six faces,a cube has six faces which are all squares and on the other hand, the cuboid is but a cuboid has rectangular faces.
What is a Cube?
A cube is a symmetrical three-dimensional shape which has all six sides equal.
To find the volume of cube is addition of all seen sides or the given sides all squared.
i.e volume of a cube= [tex]a^{3}[/tex]
volume of the cube=([tex]\frac{2}{3}[/tex])^3
Volume= [tex]\frac{8}{27}[/tex] cubic inches
How to dertermine the volume of a cuboid
Whar is a Cuboid?
A Cuboid is a three-dimensional solid shape that has 6 faces, 8 vertices, and 12 edges which the volume can be measured by multiplying the length by the breadth by the height .
Volume of a cuboid = L×B×H
Volume of a cuboid=[tex]\frac{2}{3}[/tex]×[tex]\frac{1}{5}[/tex]×[tex]\frac{3}{5}[/tex]
Volume of a cuboid=[tex]\frac{6}{125}[/tex] cubic inches.
To compare,
A cube has shapes of equal sides six faces and a cuboid faces are non-equal with six faces, 8 vertices and 12 edges.
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the two-way relative frequency table given shows the results from the lunch orders from an upperclassman picnic. 11th grade 12th grade total salad 12% 6% 18% sandwich 20% 24% 44% soup 8% 30% 38% total 40% 60% 100% a segmented bar chart was created showing the lunch preference by grade. what percentage would the bar for 11th graders show for preferring salad? 67% 40% 30%
The bar for 11th graders show 30% for preferring Salad.
Given, that the lunch orders from an upperclassman picnic.
11th Grade 12th Grade Total
Salad 12% 6% 18%
Sandwich 20% 24% 44%
Soup 8% 30% 38%
Total 40% 60% 100%
To find the relative frequency we divide the frequency by the total.
hence, to find the relative frequency for 11th graders preferring Salad
12/40 = 0.3 = 30%
Hence, the bar for 11th graders show 30% for preferring Salad.
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What is 36.9 rounded to the nearest percent
Answer: 37%
Step-by-step explanation:
36.9 rounds up into 37%