First, let's calculate the total amount that needs to be paid.
Since the payment is 2 months and 40% of a month, we have:
\(\begin{gathered} 2\cdot950+0.4\cdot950_{} \\ =1900+380 \\ =2280 \end{gathered}\)Now, let's calculate the total earning in 3 months, with a bi-weekly payment of $1125.00 and considering that 3 months have 13 weeks:
\(1125\cdot\frac{13}{2}=7312.5\)Now, to find the percentage, let's divide the total cost by the total earning:
\(\frac{2280}{7312.5}=0.312=31.2\text{\%}\)Therefore the correct option is the fourth one.
Steven has $25 dollars. he spent $10.81 including tax to buy a new DVD he needs to set aside $10.00 to pay for his lunch next week. If peanuts cost $0.38 per package including tax, what is the maximum number of packages that Steven can buy?
Write an equation or inequality to model the situation
Answer:
x = number of packages of peanuts
25 ≥ 10.81 + 10.00 + 0.38x
x = 11.03 Steven can
• Solve: 7 – x > 5.4
Solution:
x < 1.6
Step-by-step explanation:
URGENT DUE IN FEW MINS6th grade math Calculate to TOTAL Surface Area.
Do NOT count the surface under the pyramid.
The surface area of the solid is 281 ft².
Given that, a solid figure made of a rectangular prism and a square pyramid,
We need to find its surface area,
To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,
So,
Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,
= 2×5×5 + 2(4·12+12·5+4·5)-5²
= 50+256-25
= 281 ft²
Hence the surface area of the solid is 281 ft².
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Seven subtracted from seven times a number is 147. What is the number?
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
need help with all 6
Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if necessary
A cat's heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat's heart beat per second?
Answer:
3 heartbeats per sec.
Step-by-step explanation:
Number of heartbeats / Total time will give the rate or number of heartbeats per sec.
15 s = 45 heartbeatsThen, 1 s = 45/15 = 3 heartbeats! (ans)A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use the total number of penguins living in the building?
The equation that represent the number of penguins is (6 × 4) + (3 × 6) + (3 × 6) = p.
How to find the equation to represent a situation?A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:
Hence,
(6 × 4) + (3 × 6) + (3 × 6) = p
where
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plese help.. I dont know what to do
The value of x in the image above is equal to: C. 50.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
What is the Linear Pair Postulate?The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.
By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:
x + (x + 80) = 180
2x + 80 = 180
2x = 180 -80
2x = 100
x = 100/2
x = 50.
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Answer:
50
Step-by-step explanation:
When does the t-distribution approach the standard normal distribution? Choose the correct answer below. A. When the standard deviation of the sample data becomes larger, as larger sample standard deviations better estimate population standard deviations B. When the sample size decreases, because the standard deviation of the sample data better estimates the population standard deviation for smaller sample sizes C. When the sample size increases, because the standard deviation of the sample data better estimates the population standard deviation for larger sample sizes D. When the sample size decreases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for smaller sample sizes E. When the sample size increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes
Answer:
E. When the sample size increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes.
Step-by-step explanation:
T distribution is similar to the normal distribution and is seen when the estimates of the variance are based on the degree of freedom and has a relatively more score in its tail and has a greater change of extreme values.Plsssss help number one and two!!!!!!!
According to the Pythagorean Theorem 1. b = 122. a = 1/4 for more detail scroll down.
What is the Pythagorean Theorem?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The theorem can be written as an equation: c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
1. To use the Pythagorean theorem to find the length of side b, you can use the equation: c^2 = a^2 + b^2. In this case, c = 15 and a = 9, so you can substitute those values into the equation and solve for b:
15^2 = 9^2 + b^2
225 = 81 + b^2
b^2 = 225 - 81
b^2 = 144
b = sqrt(144)
b = 12
2. In the second case a is unknown and the other two sides are in fraction form, so we can use Pythagorean theorem to find the value of a.
The equation is c^2 = a^2 + b^2
(5/12)^2 = a^2 + (4/12)^2
25/144 = a^2 + 16/144
a^2 = 9/144
a = sqrt(9/144)
a = sqrt(1/16)
a = 1/4
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 36 minutes of calls is
$24.24, and the remaining credit after 55 minutes of calls is $21.20. What is the remaining credit after 63 minutes of calls?
The remaining credit after 63 minutes of calls is $19.92.
What is the remaining credit after 63 minutes of calls?From the information illustrated, the remaining credit after 36 minutes of calls is $24.24, and the remaining credit after 55 minutes of calls is $21.20.
The rate will be:
= (24.24 - 21.20) / (55 - 36)
= 3.04 / 19
= 0.16
The remaining credit after 63 minutes of calls will be:
= $21.20 - ((63 - 55) × $0.16)
= $21.20 - $1.28
= $19.92
The credit is $19.92.
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Dave wants to buy a new collar for each of his 5
cats. The collars come in a choice of 9
different colors.
Step 2 of 2 : How many selections of collars are possible if repetitions of colors are not allowed?
If repetitions of colors are not allowed, there are 9,072 possible selections of collars for Dave's 5 cats.
If repetitions of colors are not allowed, we can use the concept of combinations to determine the number of selections of collars that are possible for Dave's 5 cats.
Since there are 9 different colors available and repetitions are not allowed, for the first cat, Dave can choose from 9 different collars.
For the second cat, there are 8 remaining colors to choose from. Similarly, for the third cat, there are 7 remaining colors, and so on.
To find the total number of selections, we multiply the number of choices for each cat together:
Total selections\(= 9 \times 8 \times 7 \times 6 \times 5\)
Calculating this expression:
Total selections = 15120
Therefore, there are 15,120 possible selections of collars if repetitions of colors are not allowed for Dave's 5 cats.
It's important to note that the calculations assume that the order of the cats does not matter.
If the order of the cats' collars matters, the total number of selections would be higher and would involve using the concept of permutations rather than combinations.
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5. For a given function ƒ(x) = x^5, a translation in the positive y-direction of two units is represented by which of the following?
options:
A) ƒ(x + 2) = (x + 2)^5
B) ƒ(x + 2) = ( x – 2)^5
C) ƒ(x) – 2 = x^5 – 2
D) ƒ(x) + 2 = x^5 + 2
Answer:
\(\huge \boxed{\mathrm{Option \ D}}\)
Step-by-step explanation:
\(f(x)+k\)
Is the formula for upward vertical translation.
\(f(x)-k\)
Is the formula for downward vertical translation.
Where \(k\) is the units being translated.
Translation in the positive y-direction is upward vertical translation.
\(k=2\)
The translation is by 2 units.
The function becomes,
\(f(x)+2\)
Answer:
Step-by-step explanation:
D) ƒ(x) + 2 = x^5 + 2
Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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What are the domain and range of the function represented by the set of
ordered pairs?
{(-16, 0), (-8, -11), (0, 12), (12,4)}
Answer:
domain:-16,-8,0,12
range:0,-11,12,14
Enter the equation of a circle that is congruent to circle C and is centered at point P
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Find the surface area of the triangular prism. The base of the prism is an
isosceles triangle.
The surface area is cm Superscript 2.
37 cm
35 cm
47 cm
24 cm
Answer:
5446cm²
Step-by-step explanation:
the surface area = the 2 isosceles triangles + the 2 sides + the base
= 2 (24/2 X 35) + 2(37 X 47) + (47 X 24)
= 5446cm²
Answer: 5,446 cm²
Step-by-step explanation:
First, we will find the area of the two triangle sides.
A = 2 * (\(\frac{bh}{2}\))
A = bh
A = (35 cm)(24 cm)
A = 840 cm²
Next, we will find the area of the three rectangular sides. We have two that are congruent and a third that is not.
A = 2 * (LW)
A = 2 * ((47 cm)(37 cm))
A = 2 * 1,739 cm²
A = 3,478 cm²
A = LW
A = (24 cm)(47 cm)
A = 1,128 cm²
Lastly, we will add all of these faces together.
840 cm² + 3,478 cm² + 1,128 cm² = 5,446 cm²
Find the slope of a line that is a) parallel and b) perpendicular to the given line.- 5x + 3y = 1
the given line is,
-5x + 3y = 1
first of all lets establish the slope of the given line
the eqaution of a line in slope-intercept form is,
y = mx + b
where m is the slope, b is the y-intercept
lets arrange the given line eqaution in the form of the slope formular above
so,
3y = 1 + 5x
3y = 5x + 1
making y the subject of formular,
y = 5x/3 + 1/3
therefore:
a) a line that is parallel with slope m = 5/3
b) the slope that is perpendicular to the given line
the perpendicular slope is the opposite reciprocal
that is, m1 . m2 = -1
recall, m1 = 3/5
m2 = -1 X 3/5
= -3/5
therefore the perpendicular slope is -3/5
if 8 out of 12 marbles in a bag are green, what is the probability that a marble selected at random from the bag will NOT be green?
Answer:
The Probability that a marble selected at random from the bag will NOT be green is 1/3
Step-by-step explanation:
The probability of selecting a green bag
= Total No.of green bags/ Total number of bags
=8/12
= 2/3
Then the probability not of selecting a green bag
= 1 - The probability of selecting a green bag
= 1-(2/3)
= 1/3
1) (b + a) = 4; use a = 1 and b = 3
2) c(b + b); use b = 1 and c = 5
3) 4+ pm; use m = 4 and p =3
4) 5+ pm; use m = 4 and p = 2
5) m(p + 2); use m = 5 and p = 2
6) h+j²; use h = 1 and j = 4
7) y-(x - 5); use x = 5 and y = 6
8) 4xy; use x = 5 and y = 2
9) n(p + 3); use n = 2 and p = 2
10) y +x+x; use x = 3 and y=5
11) 6+ a-b; use a = 4 and b = 4
The equations will be solved by putting the values of the variables in the bracket.
How to calculate the values?1. (b + a) = 4; use a = 1 and b = 3
( 1 + 3) = 4
2) c(b + b); use b = 1 and c = 5
5(1 + 1)
= 5 × 2 = 10
3) 4+ pm; use m = 4 and p =3
= 4 + (4 × 3)
= 4 + 12
= 16
4) 5+ pm; use m = 4 and p = 2
= 5 + (2 × 4)
= 5 + 8
= 13
5) m(p + 2); use m = 5 and p = 2
= 5(2 + 2)
= 5 × 4
= 20
6) h+j²; use h = 1 and j = 4
= 1 + 4²
= 17
7) y-(x - 5); use x = 5 and y = 6
= 6 - (5 - 5)
= 6 - 0
= 6
8) 4xy; use x = 5 and y = 2
= 4 × 5 × 2
= 40
9) n(p + 3); use n = 2 and p = 2
= 2(2 + 3)
= 10
10) y +x+x; use x = 3 and y=5
= 5 + 3 + 3
= 11
11) 6+ a-b; use a = 4 and b = 4
= 6 + 4 - 4
= 6
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Which of the points below correctly plots the point (3,7π/6)?
Six plotted points on a coordinate plane.
Select the correct answer below:
A
B
C
D
E
F
Answer: the answer is D
Step-by-step explanation:
Remember that the coordinates (3,7π6) tell us the radius r=3 and the angle θ=7π6. So the point should be on the circle labeled 3 and form an angle of 7π6 with the positive x-axis. Point D is the correct point.
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
HELP ITS DUE TMR PLEASE
Answer:
im pretty sure the answer is (-5,-7)?
list 5 multiples of 9
Answer:
9, 18, 27, 36, 45
Step-by-step explanation:
multiples is like finding the factors. like 1*9=9 and 2*9=18, 9*3=27, 4*9=36, 9*5=45
Analyze the diagram below and complete the instructions that follow.
W
X14
Determine if the proportion is true. If it is not true, correct the error.
A true
B.
Z
Mark this and return
V
X
Save and Exit
Next
Determining if the proportion is true. If is not true and correcting the error v/x = x/v+w is: B. false, it should be w/x = x/v+w.
What is the proportion?In order for us to know whether the proportion v/x = x/v+w is true or not we need to cross multiply and simplify both sides:
v(x + v + w) = x^2
Expand the left-hand side:
vx + v^2 + vw = x^2
Subtract vx from both sides:
v^2 + vw = x^2 - vx
Factor out v on the left-hand side and x on the right-hand side:
v(v + w) = x(x - v)
Divide both sides by (v + w)x:
v/(v + w) = x/(x - v)
Therefore the correct option is B.
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what’s the working out to this question as i know the answer is 2.94cm squared but the working out is wrong!
Answer:
2.94
Step-by-step explanation:
A = 6a²
6 × .7² = 2.94
.7 × .7 = .49
6 × .7 = 2.94
\( a = 6a {}^{2} \)
a is the side
area -6 x 0.7
Which expression is equivalent to -6(-2/3+2x)
Answer:
4-12x
Step-by-step explanation:
What is the value of 1 in 2.391
Answer:
0.001 (one thousandth)
Step-by-step explanation:
hope this helps
Answer:
1 thousandth
Step-by-step explanation:
2 is in the ones place, 3 is in the tenths place, 9 is in the hundredths place, 1 is in the thousandths place.
Hope it helps!
At my birthday party, the girls ate 3 1/2 pizzas and the boys at 5 1/4 pizzas. How much more pizza did the boys eat than the girls?
Answer:
2 1/4 pizzas
Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4
Find the area? Helppp helpppp