If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.
The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?
How long will it take the fund she invested in to be worth $10,000?
Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7 in 5 in 8 in
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.
Answer:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
Step-by-step explanation:
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.
Rule: (x - 3, y - 2)
1. Using the given rule, find the new coordinates of the new image:
P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)
Q': (7, 4) ➺ (7 - 3, 4 - 2) ➺ (4, 2)
R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)
S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)
New coordinates:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
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A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
72
48
12
8
What is the surface area of the solid that this net can form? a net has 2 rectangles. one rectangle has a base of 25 millimeters and a height of 21 millimeters. the other rectangle has a base of 41 millimeters and height of 5 millimeters. 730 square millimeters 875 square millimeters 1,000 square millimeters 1,444 square millimeters
The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is 730mm²
Surface area of a solidThe surface area of the solid is the sum of all the net shapes.
Given the following parameters
The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²
The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²
TSA = 525 + 205
TSA = 730mm²
Hence the surface area of the solid that this net can form is 730mm²
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What's the circumference of a circle with a diameter of 9 inches?
Use 3.14 for π.
C = [?] inches
Enter the number that belongs in the green box. Do not round your answer.
Hint: C = πd
Answer:
C = 28.26 in
Step-by-step explanation:
the circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 9 = 28.26 in
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What's the circumference of a circle with a diameter of 9 inches?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the circumference of a circle, which we can find using the following formula:-
[tex]\bold{Circumference{(circle)}=\pi d}[/tex]
Where:-π=pi [3.14…]d=diameter (9 inches)How to solve for circumference:-
Replace d with 9 and multiply:-
[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]
Notice that we are not asked to round our answer, so we leave it like that - C=28.26.
Good luck with your studies.
[tex]\rule{200}{2}[/tex]
4 ÷ 5/7 Give your answer as a mixed number in its simplest form.
Answer:
5.6
Step-by-step explanation:
4 ÷ 5/7
is 4 divide 5 over 7
which is 5.6
What’s the answer? I’m confused
Answer: it would be y/2 if im not mistaken.
Step-by-step explanation: because with x+3/3 the 3 on the top is canceled out leaving x/3 so it would be the same with y+2/2. I hope im right and that this helps. If not i am sorry.
What are the slope and y-intercept of the line
represented by the points shown in the table?
O slope: 2, y-intercept: -20
Oslope: 2, y-intercept: 10
Oslope: 5, y-intercept: -20
O slope: 5, y-intercept: 10
The slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Taking two points to find the slope of the line:
(0, -20) and (5, -10)
[tex]\rm m =\dfrac{-10+20}{5-0}[/tex]
m = 2
The straight line equation:
y = mx + c
y = 2x + c
Plug (0, -20)
-20 = c
Thus, the slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.
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- 1/2 + (3/4 * 4/9) = ?
Answer:2
Step-by-step explanation:
Scott rolled a number cube several times and counted how many times he rolled a 3.
What is the theoretical probability of Scott rolling a 3 if his number cube is fair?
Using it's concept, it is found that the theoretical probability of Scott rolling a 3 if his number cube is fair is of [tex]\frac{1}{6}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For a theoretical probability, these number of outcomes are taken before any experiment.
In this problem, there are six numbers, one of which is three, hence the probability is given by:
[tex]p = \frac{1}{6}[/tex].
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in 130426 the digit 2 is in the ____ place?
Answer:
A Tens place.
Step-by-step explanation:
last 2 digits are twenty six.
A push-cart vendor is selling sodas at the beach. partway into the day, he raises his
price per bottle by one quarter. after this price increase, the total dollar amount
collected for the day after selling n bottles at the new price is given by the following
equation:
t = 12 + 1.75n
according to this equation, how many bottles did the vendor sell today before raising the
price?
o a
8
ob.
12
c. 18
d. 21
Answer:
[tex]8[/tex].
Step-by-step explanation:
Notice that in equation for the total dollar amount collected ([tex]12+ 1.75\, n[/tex]), every additional bottle sold at the new price brings in [tex]1.75[/tex] dollars:
[tex]\begin{aligned}& 12 + 1.75\, n && \text{$n$ bottles at new price} \\ -\; & 12 + 1.75\, (n+1) && \text{$(n+1)$ bottles at new price} \\ =\; & 1.75\end{aligned}[/tex].
Therefore, the per-bottle price after the [tex]\$0.25[/tex] price increase would be [tex]\$1.75[/tex]. The per-bottle price before the price increase would be [tex]\$1.75 - \$0.25 = \$1.50[/tex].
Also notice that when [tex]n = 0[/tex], the total amount collected was [tex]t = 12 + 1.75\, n = 12[/tex]. In other words, the total amount collected was [tex]\$12[/tex] before any bottle was sold at the new price.
Thus, the vendor had collected [tex]\$12\![/tex] by selling at the initial price of [tex]\$1.50[/tex] per bottle. The number of bottles sold at that price would be:
[tex]\begin{aligned}\frac{12}{1.50} = 8\end{aligned}[/tex].
Find the volume of the figure
Answer:
[tex]800\pi yd^3[/tex]
Step-by-step explanation:
[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]
Answer: 2513.27 yd³
Step-by-step explanation:
Volume of a cylinder:
-> This formula means we are finding the area of the base circle and multiplying it be the height
V = πr²h
V = πr²h
V = π(10)²(8)
V ≈ 2513.27 yd³
The volume of the figure is about 2513.27 yd³.
11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
can someone please solve this crossword puzzle of proofs for me?
Answers:
Across:
BisectsGivenABDAngle BisectorReflexiveABDAASDown:
GivenCM = MKMidpointNKMAlternate InteriorCMEVerticalASA======================================================
Explanations:
Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.
The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.
The reflexive theorem says any segment is congruent to itself, so BD = BD.
Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.
Alternate interior angles are always congruent when we have parallel lines.
The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.
AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.
please answer all questios with explanations giving 50 points and brainliest please answer correct too thanks have a bootiful day ;)
Answer:
1. See attached
2. largest value = 3 ³/₄ in
3. smallest value = 1 ¹/₂ in
4. It snowed 3 ¹/₄ inches for 3 days
5. To find the two values, add 3 to the smallest value:
⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in
Or subtract 3 from the largest value:
⇒ 3 ³/₄ - 3 = ³/₄ in
Question 10 of 10
Find the area of the figure.
5 m
2 m
9 m
O A. 27 m2
O B. 54 m2
O C. 45 m2
O D. 36 m2
Answer:
45 m2
Step-by-step explanation:
It was the only reasonable answer lol
9x5=45
In a random sample of 200 items, 5 items were defective. An estimate of the percentage of defective items in the population is Group of answer choices 2.5% 200 5.0% 10.0%
An estimate of the percentage of defective items in the population if 5 of 200 items were defective is 2.5%.
How to calculate percentage?The percentage of a defective item out of a total item can be calculated as follows:
% defective item = no of defective item/total no of items × 100
According to this question, in a random sample of 200 items, 5 items were defective.
% defective item = 5/200 × 100
% defective item = 2.5%
Therefore, an estimate of the percentage of defective items in the population if 5 of 200 items were defective is 2.5%.
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An empty lorry weighs 3500kg. It weighs 7250 kg when loaded with 50 bags of coffee .What is the average mass of each bag ?
Answer:
The average mass of one coffee bag is 75kg.
Step-by-step explanation:
The lorry on its own weighs 3500kg.
If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.
7250kg subtract 3500kg is 3750kg.
There are 50 coffee bags, so this is the mass of all 50.
If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.
3750kg divided by 50 is 75kg.
The average mass of one coffee bag is 75kg.
n (a)–(e), say whether the quantity is changing in a linear or exponential fashion. a. A savings account, which earns no interest, receives a deposit of $723 per month.
Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.
When is a function changing in linear and in exponential function?If the rate of change is a constant value, the change is linear.If the rate of change involves a proportion or a percentage, the change is exponential.In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.
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Okay so, i need help with this. It’s really important and I need to finish this paper before school tomorrow. Please help i will mark brainliest!!!!!
Answer:
5x^2 - 4x - 3 = 0
Step-by-step explanation:
For the equation
ax^2 + bx + c = 0
the roots are [-b +/- √(b^2 - 4ac)] / 2a
So comparing the terms to the values in the question:
a = 5
b = -4
c = -3
At summer camp, Rob went on a nighttime nature walk with his troop. During the walk, they saw 3 bats, 1 owl, 2 deer, and 6 squirrels.
Rob had never seen a bat before. What percent of the animals they saw on the walk were bats?
Answer:
25%???
Step-by-step explanation:
I think
7). John had 9 pieces of gum at the
beginning of the day. He now has 8
pieces of gum. How much gum did
he eat during the day? Write the
equation and the solution.
Answer:
9-1=8
Step-by-step explanation:
he started with 9 but at the end of the day he had 8. meaning he ate 1 peice
1. SSS
2. SAS
4. ASA
7. HL
8. Not Enough Information X
somebody please help me
Answer:
is the answer 2 3/4
Step-by-step explanation:
Reciprocal of 1/y where y not equals to 0
Answer:
y (y/1)
Step-by-step explanation:
the reciprocal of a number is basically what it needs to multiply to to equal to one
so basically you flip the numbers
1/y s reciprocal would be y/1 which is also just y
Answer: y
Step-by-step explanation:
PLASS HELP ITS WORTH 20 points
Answer:
9. 21
10. QP, 8, 18
Step-by-step explanation:
9.
2(4x-65) = 2x-4
6x = 65*2-4 = 126
x = 21
10.
a. QP
b. 8
c. 18
Please Help me (i will give brainly ) Is the following graph linear, exponential or quadratic?
Answer:
Exponential Graph
Step-by-step explanation:
The exponential graph of a function represents the exponential function properties.
Another way to known of if the graph's domain is all real numbers
Answer:
Exponential
Step-by-step explanation:
The listed points are :
(0, 27) (1, 9) (2, 3)The y-values are powers of 3 which decrease. Hence, it is exponential.