Answer:
Choice 3: Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
From the equation y = 13.50x + 300, we can derive that:
300 is the initial value, or y-intercept.
13.50 is the rate of change, or slope.
Let's go through each choice and eliminate:
1. Incorrect, because spending $13.50 on each yearbook would mean a negative slope.
2. Incorrect, because the initial value is $300, not $13.50.
3. Correct, because $300 is the initial value and earning $13.50 means a positive slope.
4. Incorrect, because the initial value should be $300.
Therefore, choice 3 is the correct scenario.
PLEASE HELP!!!!!
Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR
Answer:
option c is the correct ans as there is given similar sign with two triangle.
The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole,
Marsha hooked her ball to the left, as sketched below. Find the distance between
Marsha's ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "141.56 yd".
Step-by-step explanation:
In the given question an image file is missing, that can be defined as follows:
Formula:
[tex]c ^ 2 = a ^ 2 + b ^ 2 - 2 \times a \times b \times \cos C[/tex]
Let assume C is the third side:
[tex]c ^ 2 = 355 ^ 2 + 240 ^ 2 - 2 \times 355 \times 240 \times cos 16^{\circ}\\\\[/tex]
[tex]c^2=126025+57600- 170400(0.96)\\[/tex]
[tex]=126025+57600- 163584\\\\=183625-163584\\\\=20041[/tex]
[tex]c= 141.56[/tex]
So, the total distance= 141.56 yd
Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram (1 answer choice)
Answer:
parallelogram. is the answer
Answer:
Paralleogram:
Explanation:
A parallelogram is the closed thing with 4 sides
Even though a square had 4 sides
So a I'd defined as a Parallelogram....:)
Darryl has a daily goal of earning $100 in profit. His profit is $0.72 per sandwich, and he sold 150 sandwiches today. Explain how Darryl can use the profit rate to determine how much profit he earned. Did Darryl meet his daily goal? PLEASE HELP!!!!
Answer:
yes he did
Step-by-step explanation:
150 sandwiches *$0.72= 108 dollars
yes Darryl met is goal because he earned 108 dollars in profit.
Answer:
Yes, he did multiply .72 times 150 gives you an amount of $108.
Step-by-step explanation:
ASAP HELP ASAPFive friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 1 through 10. Each throw hits the target in a region with a different value. The scores are: Alice—16 points, Ben—4 points, Cindy—7 points, Dave—11 points, and Ellen 17—points. Who hit the region worth 6 points?
Answer:
The region worth 6 points was hit by Alice
Step-by-step explanation:
The information given are that the throws throws of the five friends (two each) each have different values
The scores are;
Alice = 16
Ben = 4
Cindy = 7
Dave = 11
Ellen = 17
For Ben, we have the two throws as 1, and 3
For Ellen, 9 and 8
Cindy, 5 and 2
Dave 7 and 4
Alice 10 and 6
Therefore, Alice hit the region worth 6 points.
For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.
Answer:
The derivative of that product of functions evaluated at the point x=-2 gives "-3"
Step-by-step explanation:
Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:
(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]
So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2
therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2 to obtain the answer:
[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]
Now, applying the product rule for those two trinomial functions, we get:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]
which at x = -2 becomes:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]
The mean age of a herd of cows is 7.9 years. A cow that is 0.5 years old is
added to the herd. How does this cow's age affect the mean?
Answer: The new mean will be less than 7.9 years
Step-by-step explanation:
The mean is the same thing as the average. Because 0.5 is less than 7.9, the average will also decrease.
Hope it helps <3
Answer:
Hey there!
The new mean will be less than 7.9 years of age.
The mean is the average, thus if you add something below the average, the entire mean will decrease, and if you add something above the average, then vice versa.
Hope this helps :)
Please answer please correct question
Answer:
EFB is the angle that is adgacent
Answer:
angle AFB
Step-by-step explanation:
Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.
What side does EFA share with?
It shares it with AFB.
That‘s it!
Hope this helped!
The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode
The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.
The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).
In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:
t = -b / 2a
t = -240 / (2 * -16)
t = -240 / -32
t = 7.5
Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.
Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.
Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.
Answer:
The first three terms are -30, -27 and -24
Step-by-step explanation:
The formula for nth term of a arithmetic series is given by:
aₙ = a₁ + (n - 1)d
Substitute n = 16 in the given equation:
a₁₆ = a₁ + (16 - 1)d
Where aₙ = a₁₆ = 15. Substitute in the given equation
15 = a₁ + 15d ⇒ Equation (i)
Sum of arithmetic sequence is given by:
Sₙ = n(a₁ + aₙ) / 2
Substitute n = 16 in the above equation:
S₁₆ = 16(a₁ + a₁₆) / 2
Where S₁₆= -120 and a₁₆=15, substitute:
-120 = 16(a₁ + 15)/2
-240 = 16(a₁ +15)
-15 = a₁ + 15
a₁ = -30
Substitute it in Equation (i)
15 = a₁ + 15d
15 = -30 + 15d
15d = 15+30
d = 45/15
d = 3
So
a₁ = -30
a₂ = a₁ + (2-1)d
a₂ = -30 + 3
a₂ = -27
a₃ = a₁ + (3-1)d
a₃ = a₁ + 2d
a₃ = -30 + 2(3)
a₃ = -30 +6
a₃ = -24
Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance
Disability insurance is generally provided by the employers to the employee
What is an Insurance Coverage ?Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.
Generally the employers provide Disability insurance to their employees .
An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .
A railway employee is given a Disability insurance cover and many other normal companies also provide Disability insurance.
Hence Option B Disability insurance is the correct answer.
To know more about Insurance Coverage
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Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE
Answer:
the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
please help immediately
the figure below is a semi circle with two smaller semi circles cut out from it.The radius of the small semi circle is 3cm.
find the area of the shaded portion
So basically all you have to do is find the area of one of the smaller semi circles by using the formula for the area of a circle (A=πr^2). You know that the length of the larger semi circle's radius is equivalent to 6 cm because the radius of the smaller ones are 3 cm, meaning the diameter would have to be 6 cm and in this case, the length of the smaller semi circles' diameters is equal to the radius of the big semi circle. Then you would find the area of the big semi circle again by using the area of a circle formula, but after getting the answer you would half it, obviously because it's a semi circle. Subtract the are of the smaller semi circle you found earlier from the answer you just got and that's it ;) (you wouldn't have to half the area since there are two smaller semi circles and 1/2 + 1/2 = 1 but u knew that)
Put simply, the answer would be about 88.2644 cm because circles.
simplify the radical expression √500
Answer:
[tex]10\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{500}\\\\ \sqrt{2^2*5^2*5}\\\\\sqrt{2^2}\sqrt{5^2}\sqrt{5}\\\\2\sqrt{5^2}\sqrt{5} \\\\2*5\sqrt{5}\\\\10\sqrt{5}[/tex]
Answer:
10√5
Step-by-step explanation:
√500= √100*5= 10√5
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
1.5 !
Step-by-step explanation:
oh khan academy :))
15. Estimate the product of 110.4 x 10.2 by rounding to the nearest whole number.
A.1100
B.1210
C.1000
D.1221
Answer: A.1100
Step-by-step explanation:
Hi, to answer this question we have to round each number to the nearest whole number:
110.4 = 110 (.4 is less than 5)
10.2 = 10
The product is the result of the multiplication of both numbers:
110 x 10 = 1,100
So, the correct option is A.1100
Feel free to ask for more if needed or if you did not understand something.
Which of the following rotations will produce a 12-sided polyhedron? ANSWERS: Rotating a 12-gon about a vertical axis running along one side Rotating a 12-gon about a vertical axis passing through the center No rotation will produce a polyhedron. The solids of rotation are non-polyhedral. Rotating a 12-gon about a horizontal axis passing through the center
Answer:
No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.
Step-by-step explanation:
Solids of rotation will always have a curved face, so they’re always non-polyhedral.
A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
Answer:
.74
Step-by-step explanation:
On edge
Need answer ASAP please
Answer:
0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.
Add the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4 ). PLS help right now.
Answer:
i belive it is 13.25
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
The sum of 1.25 and (−1 3/4) can be done as,
1.25 + (−1 3/4)
= 1.25 - 1.75
= -0.5
The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,
-0.5 + (-2 1/2)
= -0.5 - 2.5
= -3
Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.
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8(5021)(3054)+(-8)(-5021)(-3054)+3
Answer:
3
Step-by-step explanation:
first two terms cancel eachother out!
Answer:
Step-by-step explanation:
8(5021)(3054) + (-8)(-5021)(-3054) + 3 = 8(5021)(3054) - (8)(5021)(3054)+3
= 0 + 3
= 3
PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17.5 meters from the building. When she is 3 meters away from the mirror, she can see the top of the building in the corner of the mirror. If she is 2 meters tall, how tall is the building? Round your answer to the nearest hundredth. Enter your answer as a number. For example, if your answer is 14.5 meters, enter 14.5
Answer:
11.6
Step-by-step explanation:
There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building
these are conjugate triangles so if the 3m represents 17.5
what does the 2 m represent?
2*17.5/3=35/3=11 2/3 so 11.6
Tell me in your own words: How well do you understand RATE?
Answer:
a measure, quanity or frequency typically one measured against another quantity or measure.
Step-by-step explanation:
i have written in my own words so i would love to be the brainliest i never got one before and i have only 20 points so thank you so much for making me the brainliest if you did so i love u.
Answer:
I do indeed understand rates in math.
Step-by-step explanation:
If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.
Which of the following information would prove the quadrilateral ABCD is a rectangle?
Question 2 options:
a) The length of segment AB and CD is 5 units and length of segment BC and DA is 12
b) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
c) Slope of AB = 2, Slope of BC = -3/2, Slope of CD = 2, and slope of of DA = -3/2
d) Slope of AB = 2, slope of CD = 2, and the length of segment AB and CD is 5.
Answer:
The correct option is B
B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2
Step-by-step explanation:
A rectangle has the following features:
Opposite sides are equalOpposite side are parallel (same slope)all the interior angle are 90° (adjacent sides are perpendicular)
Considering these point, the best options is B because:
AB || CD = opposite sides have same slope 2 (they are parallel)
BC || DA = opposite sides have same slope -1/2 (they are parallel)
For 2 lines to be perpendicular:
Slope of line 1 = -1/ (Slope of line 2)
Let line 1 be AB and line 2 be BC
Slope of AB = -1/(Slope of BC)
2 = -1/(-1/2 )
2=2
Hence proved
As two points are true, third point will also be true
Question 2 Comparing Text Message Plans Roger’s father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages and Ring Ring charges $8 for 200 text messages. Part A What is the ratio of the number of text messages to the price in dollars offered by each company?
Answer:
The ratio of Dial it up is $1: 20 text messages
The ratio of Ring Ring is
$1: 25 text messages
Step-by-step explanation:
Dial it up=$5 for 100 text messages
Ring Ring=$8 for 200 text messages
What is the ratio of the number of text messages to the price in dollars offered by each company?
The ratio of Dial it up is
$5 : 100
=$5/100
=$1/20
The ratio of Dial it up is $1: 20 text messages
The ratio of Ring Ring is
$8:200 text messages
=$8/200
=$1:25
The ratio of Ring Ring is
$1: 25 text messages
Ring Ring has a cheaper text message plan compared to Dial it up
The operation *is defined by x*y=2x-y,where x and y are real numbers.Find the value of (i) y,if y *(3*y)=6
Answer:
The value of y = 4
Step-by-step explanation:
Explanation:-
Given the operation *is defined by
x*y=2 x-y,where x and y are real numbers
Given y * ( 3 * y ) = 6
⇒ y * ( 2 (3) -y) = 6 (∵ x*y=2 x-y)
⇒ y * ( 6 - y) = 6
⇒ 2 (y) - (6 - y ) = 6
⇒ 2 y - 6 + y = 6
⇒ 3 y = 6 + 6
⇒ 3 y = 12
⇒ y = 4
Verification:-
Put y =4 in given operation
L.H.S
y * ( 3 * y ) = 4 * ( 3 * 4)
= 4 * (2(3)-4) (∵ x*y=2 x-y )
= 4 * ( 6-4)
= 4 * 2
= 2(4) -2 (∵ x*y=2 x-y )
= 6
=R.H.S
y *(3*y) = 6
∴ y = 4 is satisfied
Find the number in the form x3579x that is divisible by 42.
Answer:
335790
Step-by-step explanation:
42=2×3×7
unit digit should be even.
sum of digits should be divisible by 3
3+5+7+9=24÷3=8
sum of other two digits should be multiple of 3
let us consider 335790
3+0=3=3×1
also 0 is even.
335790÷42=7995
please help! it would be much appreciated
Answer:
Yes
Step-by-step explanation:
[tex]\sqrt{3} = 1.73205080757[/tex]
Simplified it is 2
Which must be true?
Answer:
PSC=PTC
They are the same angle