Answer:
f(x) = 70 + 2x
Step-by-step explanation:
In this problem, we first need to consider how much we get per day.
$70 is our constant.
$2 will be dependent on the number of books sold.
Here 'x' will represent the number of books sold.
f(x) = 70 + 2x
Now let's try it out.
Let's say we sold 0 books
f(0) = 70 + 2(0) = 70
This shows us that we only get our constant pay.
Now let's try for 1 or more books.
f(1) = 70 + 2(1) = 72
f(2) = 70 + 2(2) = 74
So the recursive formula f(x) = 70 + 2x is a good formula to model the situation.
Answer:
a1 = 70
an = an–1 + 2
Step-by-step explanation:
Suppose the side lengths are multiplied by 2. Describe the change in the perimeter.
Answer:
The perimeter would then be squared
Step-by-step explanation:
Since each length is being multiplied by 2 the you have 2 of the same perimeters. So you just add them together or square it.
What is the area of a sheet of binder paper? (Binder paper is 8 1/2 inches by 11 inches.) 88 inches 88 1/2 in2 93 1/2 in2 94 in2
Answer:
93 1/2 in^2.
Step-by-step explanation:
The Area = 8 1/2 * 11
= 17/ 2* 11
= 187/2
= 93 1/2 in^2.
Answer:
The area of the binder paper is 93 1/2 in^2 :)
Step-by-step explanation:
Given (x, y ) = (5, 15). Find tan θ.
a.3
b.1/3
c.5
d.1/5
Answer:
Step-by-step explanation:
You wouldn’t put y over x Which is 15/3 you would divide which gives you five. So your tan theta would be 5
Answer:
it's definitely 3 on odyssey. tan theta= y/x =3.
Step-by-step explanation:
A duplex generates $1,400 rent for each of its two units per month. The property has been recently appraised for $350,000. What is this property's GIM? 4.8, 9.6, 10.4, or 20.83??
Answer:
10.4
Step-by-step explanation:
To get the property's gross income multiplier (GIM), you divide its appraised value by its gross annual rental income.
Rental income = 2 × $1400/1 month × (12 months/1 yr)
= $33 600/yr
GIM = $350 000/$33 600 = 10.4
The property's GIM is 10.4.
Susan is 60 inches tall. Myra is 6 inches taller than Elaine, who is 4 inches shorter than susan how tall is myra
62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62
Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.
Answer: option a.
Step-by-step explanation:
By definition, we know that:
[tex]cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
Substitute [tex]sin(\theta)=\frac{6}{11}[/tex] into the first equation, solve for the cosine and simplify. Then, you obtain:
[tex]cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}[/tex]
As [tex]sec\theta<0[/tex] then [tex]cos\theta<0[/tex]:
[tex]cos(\theta)=-\frac{\sqrt{85}}{11}[/tex]
Now we can find [tex]tan\theta[/tex]:
[tex]tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}[/tex]
Answer:
a
Step-by-step explanation:
To the nearest hundredth, what is the value of x?
42.16
43.11
52.07
54.26
Answer:
52.07
Step-by-step explanation:
We know that the sin of an angle is equal to the opposite side divided by the hypotenuse
sin 51 = opposite side/ hypotenuse
sin 51 = x/67
Multiply each side by 67
67 sin 51 = x
52.06877942=x
To the nearest hundredth
52.07 =x
Evaluate the exponential expression: (2x)2nd power −3y2nd power =___, if x = 5 and y = 3.
A.73
B.125
C.-73
D.-125
ANSWER
A. 73
EXPLANATION
The given expression is
[tex](2{x})^{2} - 3{y}^{2} [/tex]
We substitute x=5 and y=3 to obtain:
[tex](2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9[/tex]
This simplifies to,
[tex] = 100 - 27[/tex]
[tex] = 73[/tex]
The correct choice is A.
Identify the area of the rhombus.
Answer:
[tex]A=240\ m^{2}[/tex]
Step-by-step explanation:
we know that
A rhombus is a parallelogram with four congruent sides, the diagonals are perpendicular bisectors of each other
The area of a rhombus is equal to
[tex]A=\frac{1}{2}(D1*D2)[/tex]
where
D1 and D2 are the diagonals
In this problem we have
[tex]D1=16\ m[/tex]
Applying the Pythagoras Theorem find D2
[tex]17^{2} =(D2/2)^{2}+(16/2)^{2}[/tex]
[tex](D2/2)^{2}=17^{2}-(16/2)^{2}[/tex]
[tex](D2/2)^{2}=225[/tex]
[tex](D2/2)=15[/tex]
[tex]D2=30\ m[/tex]
Find the area of the rhombus
[tex]A=\frac{1}{2}(16*30)=240\ m^{2}[/tex]
If you roll two fair six-sided dice, what is the probability that the sum is 444 or higher?
Answer:
11/12
Step-by-step explanation:
Final answer:
To find the probability of rolling a sum of 444 or higher with two fair six-sided dice, calculate the sum probabilities for 444, 455, and 466, then add them together.
Explanation:
If you roll two fair six-sided dice, what is the probability that the sum is 444 or higher?
To calculate this probability, we need to first determine the total possible outcomes when rolling two dice and then find the favorable outcomes where the sum is 444 or higher.
The sum can range from 2 to 12 when rolling two dice, so we can find the probabilities for sums 444, 455, and 466, then add these probabilities up to get the final answer.
Which of the following quantities would be acceptable representations of weight? Check all that apply. a.12.0 lb b.0.34 g c.120 kg d.1600 kN e.0.34 m f.411 cm
Answer:
a.12.0 lb; b.0.34 g; c.120 kg
Step-by-step explanation:
To measure weight using the English system of measurements, we use ounces, pounds, tons, etc.
To measure weight using the metric system, we use grams, milligrams, kilograms, etc.
This means that pounds, grams and kilograms are all acceptable representations of weights.
Kilonewtons (kN) measure force, not weight.
Meters and centimeters (m and cm) measure length, not weight.
Answer:
a.12.0 lb
d.1600 N
Step-by-step explanation:
THe weight of objects is the force with which each object is attracted by the gravitational force where they are located, for example on earth gravitational force is equal to 9.81 m/[tex]s^{2}[/tex], so an object that is 1 kg of mass, would have a weight of 9.81 Newtons, pounds are also a measure of force.
The equation of the parabola whose focus is at (7, 0) and directrix at x = -7 is:
y = (1/28)x²
x = (1/28)y²
x = -(1/28)y²
the answer is x=(1/28)y^2
The equation of the parabola with focus at (7, 0) and directrix at x = -7 is x = (1/28)y².
The general equation of a horizontally opening parabola, using the distance between the vertex and the focus or directrix as the value of 'p'.
To find the equation of a parabola with a focus at (7, 0) and a directrix at x = -7, we first note that the vertex of the parabola is midway between the focus and the directrix. This puts the vertex at the origin (0, 0), and the parabola opens to the right since the focus is to the right of the vertex.
The general form of the equation for a parabola that opens horizontally (left or right) is
[tex](y - k)^2 = 4p(x - h)[/tex], where (h, k) is the vertex and p is the distance from the vertex to the focus.
If the parabola opens to the right (as in this case), the equation will be
[tex](y - 0)^2 = 4*(7)(x - 0)[/tex]
y² = 28x.
However, to match the format of the original options given to the student, we divide every term by 28, leading to the equation x = (1/28)y², which is the correct parabolic equation for the given focus and directrix.
Julian has 3 pounds of ham to make 12 sandwiches.Which statement about Julian's sandwiches are true? A) Each sandwich has more than 1 pound of ham B)Julian will have 1/2 pound of ham left over C)Each sandwich has 1/4 pound of ham D) Each sandwich has 4 pounds of ham
Answer:
C. Each Sandwich has 1/4 pounds of ham
Step-by-step explanation:
Name the rule for each statement: (SSS, ASA, SAS, AAS) Hint: you may use some of the rules more than once. Two triangles are congruent if: a) each pair of corresponding sides is congruent b) two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent c) two pairs of corresponding sides and the angles included between them are congruent d) If three sides of one triangle are congruent to three sides of a second triangle, e) If two angles and a non-included sides of each triangle are congruent
Answer:
a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right
Step-by-step explanation:
Final answer:
The rules for triangle congruence based on the given statements are SSS, ASA, SAS, SSS, and AAS, which are applied when certain combinations of angles and sides are congruent in two triangles.
Explanation:
To name the rule for each statement given for triangle congruence, we can apply the following:
a) SSS (Side-Side-Side) Congruence Postulate: Each pair of corresponding sides is congruent.
b) ASA (Angle-Side-Angle) Congruence Postulate: Two pairs of corresponding angles and one pair of corresponding sides are congruent.
c) SAS (Side-Angle-Side) Congruence Theorem: Two pairs of corresponding sides and the angles included between them are congruent.
d) SSS (Side-Side-Side) Congruence Postulate: Three sides of one triangle are congruent to three sides of a second triangle.
e) AAS (Angle-Angle-Side) Congruence Theorem: Two angles and a non-included side of each triangle are congruent.
These rules are foundational in establishing triangle congruence and are applied based on different combinations of sides and angles of triangles.
A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
3 hours and 45 minutes
Step-by-step explanation:
The time to travel 180 miles at an average speed of 48 miles per hour is approximately 3.75 hours. This was calculated using the formula Time = Distance / Speed.
Explanation:The question is based on time, speed, and distance, all correlating with each other, and to solve, we will use the following frequently used formula:
Time = Distance / Speed
We can substitute the given values into our formula. We know our distance is 180 miles and our speed is 48 miles per hour. So, our equation becomes:
Time = 180 miles / 48 miles per hour
After calculating this equation, we get approximately 3.75 hours.
So, it would take approximately 3.75 hours to travel 180 miles at an average speed of 48 miles per hour.
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need some help plz-(7-9z)+8(3z-4)
Simplify brackets
-7 + 9z + 8(3z - 4)
Expand
-7 + 9z + 24z - 32
Collect like terms
(-7 - 32) + (9z + 24z)
Simplify
-39 + 33z
Regroup terms
= 33z - 39
Derive these identities using the addition or subtraction formulas for sine or cosine:
a. sin a sin b = 1 / 2(cos(a – b) – cos(a + b))
b. sin a cos b = 1 / 2(sin(a + b) + sin(a – b))
Answer:
Step-by-step explanation:
cos(a-b)-cos(a+b)=2(sina x sinb)
using formulae of cos (a-b) & cos(a+b)
cos a cos b + sina sinb - cosa cosb + sina sinb=2 sina sinb
2 sina sinb = 2 sina sinb
proved!
Please answer this question, will give brainliest!
m∠H = 50°
∠H is a inscribed angle, and so that the intercepted arc would be twice the amount of the angle.
Arc KI = 100°
Because ∠KGI & ∠HKI share the same arc, the measurement for ∠KGI will be the same as ∠HKI, or 50°
m∠KGI = 50°
Next, find m∠KJI. arcKJI = 2(∠H) = 2(50) = 100
m∠KJI = 100°
~
Please help with this question, I will give the brainliest if correct! The question is in the picture.
Answer:
Resolved.
Step-by-step explanation:
Answer:
The Answer is B. I had this a few months ago. Good luck with Apex!
25% of the students at school a got a score greater than 25 but less or an equal to 28
Answer:
28 >= 0.25x > 25
Step-by-step explanation:
25% of x
1) Greater than 25: 25%x > 25
2) Less than and equal to 28: 25%x <= 28
25%x = 25/100 * x = 0.25x
1 and 2:
28 >= 0.25x > 25
//I hope this is what you are looking for. Not sure it's right
Please help me out with this!
Answer:
20
Step-by-step explanation:
z=(180-124-16)/2
Here is your answer
[tex]<b>z= 20 degrees</b>[/tex]
REASON:
[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.
So, in above given figure
[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)
[tex]2z+140=180 [/tex]
[tex] 2z=180-140 [/tex]
[tex]2z=40 [/tex]
[tex]z= 40/2 [/tex]
[tex]z= 20 [/tex]
HOPE IT IS USEFUL
Which expression is equivalent to
1/100c^3d^4
1/100c^6d^9
1/10c^3d^4
1/10c^6d^9
Answer:
1/10c^3d^4
Step-by-step explanation:
A cube root is an operation which splits expressions and numbers within it into 3 groups of the exact same size. These groups when multiplied by themselves make the expressions and numbers under the root. For example, ∛27 = 3 since 3*3*3 = 27.
Take each part under the cube root and split it into three equal groups.
1/ 1000 = 1/10 * 1/10 * 1/10 so ∛1/1000 = 1/10
c^9 = c^3*c^3*c^3 so ∛c^9 = c^3
d^12 = d^4*d^4*d^4 so ∛d^12 = d^4
Together ∛1/1000 c^9 d^12 = 1/10 * c^3 * d^4
many locations require that renters be paid interest on their secuity deposits. If ypu have a security deposit of $1,700, how much interest would you expect to earn per year at 5 percent?
Answer: $85
Step-by-step explanation: The formula for interest is I = PRT, where I equals interest, P equals principal, R equals rate and T equals time.
I = 1,700 x .05 x 1 = $85
You can expect to earn $85 interest for one year on the security deposit.
Describe the sequence of transformations from quadrilateral ABCD to A'B'C'D A: -8,8 B: 8,-2 C: 4,-8 D: 4,-2 A': 2,-10 B': 8,-10 C': 2,-6 D: 8, -5?
Answers:
See below
Step-by-step explanation:
First transformation
Reflection about the line y = 6.
This inter-converted Points A and C and Points B and D.
The coordinate transformations were (Fig. 1):
A: (-8, 8) ⟶ (-8, 4)
B: (-2, 8) ⟶ (-2, 4)
C: (-8, 4) ⟶ (-8, 8)
D: (-2, 4) ⟶ (-2, 8)
Second transformation
Translation 10 units to the right and 14 units down.
The coordinate transformations were (Fig. 2):
A: (-8, 4) ⟶ (2, -10)
B: (-2, 4) ⟶ (8, -10)
C: (-8, 8) ⟶ (2, -6)
D: (-2, 8) ⟶ (8, -6)
The transformations were:
Reflection about the line y = 6 Translation 10 units to the right and 14 units downHow many sums????????????????? EXPLAIN!
Answer: 7
Step-by-step explanation:
The 1st spinner can land on 2, 3, 4, or 5
The 2nd spinner can land on 2 or 3
The 3rd spinner can land on 6, 7, or 8
1st spinner + 2nd spinner + 3rd spinner:
2 + 2 + 6 = 10, 2 + 2 + 7 = 11, 2 + 2 + 8 = 12 --> 3 different sums
2 + 3 + 6 = 11, 2 + 3 + 7 = 12, 2 + 3 + 8 = 13 --> 1 different sum
This pattern follows where the only new sums are as follows:
3 + 3 + 8 = 14
4 + 3 + 8 = 15
5 + 3 + 8 = 16
This makes a total of 7 different sums.
what is the molariry of a solution that contains 1.22 mol of hydrogen chloride if the total volume of the solution is 1,251 mL?
Your molarity would be 0.975 M HCl because it’s moles of solute divided by liters of solvent
The answer would be 0.975
Noah made the following table to record the height of each person in his family.
How much taller is his dad than his mom?
Name Height (in feet)
Dad 6 1/12
Mom 5 7/12
Sadie 5 1/2
Sam 5 1/8
Noah 4 7/8
1 1/2 feet
1/2 foot
1/3 foot
1 1/3 foot
Answer:1/2 feet
Step-by-step explanation:
6 1/12 - 5 7/12 = 6/12 = 1/2
In the first quadrant, you start at 5,4 and move 2 unit's left what point will you end up on
You end up on Point (3, 4)
Answer:
you will end up on (3,4)
Step-by-step explanation:
The interest rate r required to increase your investment p to the amount a in t years is found by [tex]r=(\frac{a}{p} )^\frac{1}{t} -1[/tex]. Find the interest rate r for p = 2700, a = 6400, and t = 3. Round to the nearest hundredth.
The interest rate required to increase an investment of $2700 to $6400 in 3 years, using the formula r=(a/p)^(1/t) - 1, is approximately 38.5% per year when compounded annually.
Explanation:The subject at hand deals with the concept of finding the interest rate on an investment. The provided equation, which represents the interest rate formula, is: r=(a/p)^(1/t) - 1. Here, the variables represent the following: r is the interest rate, a is the amount of money accumulated after t years (the future value of the investment), p is the principle/original amount (the initial value of the investment), and t is the time in years. By inserting the given values (p = 2700, a = 6400, t = 3) into the formula, we get: r = (6400 / 2700)^(1 / 3) - 1.
The next step is to calculate the arithmetic for the values inside the parenthesis first, then raise it to the power of 1/3 (which is the cube root), and finally subtract 1 from the result. Doing these calculations you obtain approximately 0.385, or 38.5% when expressed as a percentage. So, the interest rate that is required to increase your investment of $2700 to $6400 in 3 years is approximately 38.5% per year when compounded annually.
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The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test. Find the percent of students that scored below Jake. Round your answer to the nearest whole number. (Include a step by step description of the process you used to find that percentage.)
*You will need to find the z-score using the z-score formula, the probability using the table, then change the probability to a percent.
Subtract the mean from Jake's score:
520 - 500 = 20
No divide that by the standard deviation:
20/60 = 0.33
This means Jake scored 0.33 standard deviations above the mean.
Now using the Z-table find 0.33: 0.33 = 0.6293 = 62.93% of students scored below Jake.
Rounded to nearest whole number = 63%
Answer:
63% of students
Step-by-step explanation:
Z = (X - μ) / σ
Z = 520 - 500 / 60
Z = 0.33
ON THE Z-TABLE
0.33 = 0.6293
62.93% = 63% of students answer