In order to write the expressions for number 11 we consider the cost for each of the items
then,
a)
each soccerball costs $14 and each baseball costs $9
then
\(\begin{gathered} C=14\cdot x+2\cdot9 \\ C=14x+18 \end{gathered}\)b)
each pair of sweat socks costs $7 and each baseball costs $9
then
\(\begin{gathered} C=2\cdot(7\cdot x+9) \\ C=14x+18 \end{gathered}\)Consider the polygon defined by the coordinates A(-2, 2), B(1,5), C(2, 3), and D(-1,0). Which statements are correct?
Answer: A, B, D
bc = 5 units
ab = 18 units
area of abcd = 9.49 units2
Find the length of the missing side. Round answers to the nearest tent necessary. * 00 8 Your answer
To find the missing side of the triangle we can use the pythagorical Theorem so:
\(\begin{gathered} x^2=8^2+8^2 \\ x=\sqrt[]{64+64} \\ x=\sqrt[]{128} \\ x=11.3 \end{gathered}\)Given the formula:
A = Pe^r.t
Using your scientific calculator, find the money accumulated if you invested $65,000 at 7.3% interest for 10 years compounded continuously.
a. $134,880.24.
b. $96,219,495.29.
c. $69,922.48.
d. None of the above.
9514 1404 393
Answer:
a. $134,880.24
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
A = $65,000×e^(0.073×10) ≈ $134,880.24
_____
Additional comment
The doubling time for continuously compounded interest is 69.3 years divided by the interest rate in %. Here, that is 69.3/7.3 = 9.49 years. That means an investment of 10 years will be slightly more than double the original amount. 2×65,000 = 130,000, so choice A is in the right ballpark. The other numerical choices are not.
-2log (6x + 1) = -6.
judith is planning a party for her younger brother
Answer:
COOL
Step-by-step explanation:
Find the values of e, a, b, and c for r = 21/5-2costheta
The Values of a and b are a = 21/5 and b = 2
In the given equation, r = 21/5 - 2cos(theta), we can identify the coefficients of the variables r and theta. By comparing the given equation with the general equation of a polar curve, r = a + bcos(theta), we can determine the values of a, b, and c.
The equation r = 21/5 - 2cos(theta) can be rewritten as:
r = (21/5) - 2cos(theta)
Comparing this with the general equation r = a + bcos(theta), we can equate the corresponding terms:
a = 21/5
b = 2
Therefore, the values of a and b are a = 21/5 and b = 2, respectively.
there is no variable c mentioned in the given equation. Therefore, we cannot determine the value of c.
To summarize:
a = 21/5
b = 2
c = unknown
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Note the full question may be :
In the given expression r = (21/5) - 2cos(theta), the values of e, a, b, and c can be determined as follows:
e: The coefficient of the constant term, which is the term without the cosine function. In this case, e = 21/5.
a: The coefficient of the cosine term, which is the term multiplied by cos(theta). In this case, a = -2.
b: The coefficient of the sine term, which is the term multiplied by sin(theta). Since there is no sine term in the expression, b = 0.
c: The constant term, which is the term without any variable. In this case, there is no constant term, so c = 0.
Are they like terms? 3x & -x
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
At West High School, 10% of the students participate in sports. A student wants to simulate the act of randomly selecting 20 students and counting the number of students in the sample who participate in sports. The student assigns the digits to the outcomes.
0 = student participates in sports
1–9 = student does not participate in sports
Here is a portion of a random number table.
Beginning at line 1, carry out one trial of this simulation. Use additional lines as needed. How many students in this random sample of 20 students participate in sports?
1
2
3
4
Note that the proportion of trials where 0 students participate in sports is 1 out of 5, or 1/5,which can also be expressed as 0.2 or 20%.
What is the explanation for this ?
To determine the proportion of trials where 0 students participate in sports, we need to carry out the 5 trials and count the number of times we encounter 0 students participating in sports.
Here are the results of the 5 trials -
Trial 1 - 2 students participate in sports
Trial 2 - 1 student participates in sports
Trial 3 - 4 students participate in sports
Trial 4 - 3 students participate in sports
Trial 5 - 0 students participate in sports
Out of the 5 trials,only 1 trial results in 0 students participating in sports.
Therefore, the proportion of trials where 0 students participate in sports is 1 out of 5, or 1/5,which can also be expressed as 0.2 or 20%.
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What integer is having 3 dollats
Answer:
Why is 3 an integer?
They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4
Help its urgent i need to get these done
The planes that are parallel in the cube shown would be C. NOR and LMP.
What are parallel planes ?Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.
From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.
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FInd the equation of the line with slope -6 which goes through the point (-9,-6).
Answer:
y=-6x-60
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-9,-6) and has a slope of -6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -6. So you can right away fill in the equation for a line somewhat to read:
y=-6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-9,-6). When x of the line is -9, y of the line must be -6.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the -6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,-6).
So, why not plug in for x the number -9 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-9,-6). y=mx+b or -6=-6 × -9+b, or solving for b: b=-6-(-6)(-9). b=-60.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
How much of the circle is shaded? Write your answer as a fraction in simplest form. 1/3 and 1/7
Answer:
11/21
Step-by-step explanation:
1/3=7/21
1/7=3/21
(7+3)/21=10/21
21/21-10/21=11/21
Thus 11/21 of the circle is shaded.
HELLLPPPP
Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months
Answer:
$ 42.625 is the correct answer .Step-by-step explanation:
principal ( p ) = $3100
Rate ( R ) = 5.5 %
Time ( T ) = 3 months
( convert months into year)
= 3/12 year
Simple Interest ( I ) = ??
By using formula ,
simple Interest ( I) = PTR / 100
=$3100 × 5.5 % × 3/12 ÷ 100
= 3100 × 5.5 × 3 ÷ 100 × 12
= 51150 ÷ 1200
= 42.625
= $ 42.625
Thank you ☺️☺️☺️
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
Find out the area pls
Step-by-step explanation:
\(area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 10 \times 5 \\ = 25\\ \)
Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the larger angle?
Answer:
C
Step-by-step explanation:
4x-5+x=180. Add 5 to both sides
5x=185. Divide by 6
X=37
180-37=143
143
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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What do I do if I fail an online Course in HS
Jeremy explained to Samantha that the factor (x 3 – 8) can be factored further as a __ of cubes
Answer:
x ^3 cubed is x and -8 cubed is 2
Step-by-step explanation:
Emily's score for a Mathematics test was 5% higher than her score for an English test. If Emily scored 84 points for the Mathematics test, how many points did she score for the English test?
Answer:
80 points
Step-by-step explanation:
If score in English is x points and score in math is 5% higher then score in math
y = x + 0.05x
where 0.05 = 5% expressed as decimal
0.05x refers to the 5% increase in score
y = math score
y = x(1 + 0.05)
y = 1.05x
Given score in math = 84 this becomes
84 = 1.05x
x = 84/1.05
x = 80
So Emily's score in English was 80 points
help me i’m stuck on thus question
Answer:
2•8n•8n•8n•8n
Step-by-step explanation:
8n is it's own separate number so the other three would not work
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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PLEASE HELP! 20 POINTS!!
The tops of two tables in a furniture store are similar rectangles as shown below.
The length of the larger tabletop is 12 feet. What is its width, x?
Answer:
X = 8
Step-by-step explanation:
how to find area of a triangle
Answer:
Base × Height ÷ 2
Answer:
Hope this helps! :)
Which expression is equivalent to 6(2x + 4)
Answer:
12x+24
Step-by-step explanation:
by multiplying the number 6 into the term inside of the bracket gives 12x + 24
What would be the final elevation if a moth is flying at at 9 meters above the ground and changes by -4?
a. 5 meters
b. -5 meters
c. 13 meters
d. -13 meters
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51. Find the probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage.
Answer:
1-0.7584=0.2416
Step-by-step explanation:
The probability nobody will order a non-A beverage is .56^8=0.0097
all 8 will order a non-A beverage is 0.44^8=0.0014
fewer than 6:
look at 6,7,8
Those add to 0.0794 and the answer is 1- that or 0.9206. Also 2nd VARS (.44,8,5)
b. at least 5 is 5,6,7,8
that is 1-P(0-4)
=1-0.7584=0.2416