Answer:
shippng charge = 60 dollars
Step-by-step explanation:
5% is .05 in decimal form
.05 x 1200 = 60 dollars
5. Which theorem justifies the statement in No. 4?
A. Exterior Angle Inequality theorem B. Triangle Inequality Theorem 1(Ss-Aa)
C. Triangle Inequality Theorem 2(Aa-Ss)
D. Triangle Inequality Theorem 3(S₁ + S₂ > S3)
Answer:
D
Step-by-step explanation :
Will give Brainliest and a lot of points! :D
Which of the following expressions factors completely to 3(x + 5)²?
A. 3x² + 25
B. x² + 10x + 25
C. 3² + 75
D. 3x² + 30x + 75
Answer:
solution
here;
answer D
Step-by-step explanation:
3(x2+10x+25) 3(x^2 +2×5×x +25)3(x+5)^2The guidance department conducted a random survey of the student body and found that 16% of the students plan to volunteer at the school festival. Predict how many volunteer positions they should plan for a population of 950 students.
Answer:
152
Step-by-step explanation:
950 x 16% simple as that
The equation 6 = 2x2 – 11x has two solutions, p and q, with p being greater than q.
What is the value of p – q?
[tex]~~~~~~6=2x^2 -11x\\\\\implies 2x^2 -11x -6 = 0\\\\\implies 2x^2 -12x +x-6=0\\\\\implies 2x(x-6) +(x-6) = 0\\\\\implies (2x+1)(x-6) = 0\\\\\implies x = -\dfrac 12,~~ x= 6\\\\\text{Since }~p > q,}~~ p =6~ \text{and}~ q = -\dfrac 12\\ \\\text{So,}~ p-q = 6 -\left(- \dfrac 12 \right)\\\\~~~~~~~~~~~~~=6+\dfrac 12 \\\\~~~~~~~~~~~~~=\dfrac{13}2\\\\~~~~~~~~~~~~~=6.5[/tex]
The value of p -q is 6.5.
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
ax^2 + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The equation 6 = 2x^2 - 11x has two solutions, p and q, with p being greater than q.
[tex]6 = 2x^2 - 11x \\\\ 2x^2 - 11x - 6 = 0\\\\ 2x^2 - 12x + x- 6 = 0\\[/tex]
(2x + 1) (x-6) = 0
Thus, x = -1/2 , 6
Since p>q
p = 6 , q = -1/2
So, p -q = 6 - (-1/2)
= 6 + 1/2
= 13/2
= 6.5
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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer:
x = 2, - 4
Step-by-step explanation:
The factors of 8 are:
1, 8
2, 4
You can combine 2 and 4 to create 2.
( x - 2 ) ( x + 4 ) = 0
0 can either be x - 2 or x + 4
Therefore, x = 2 or - 4
Hey there!
Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0
Answer :x = -4 or x = 2 ✅
Explanation :Quadratic formula : ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :
If b² - 4ac > 0 , There are 2 real-number solutionsIf b² - 4ac = 0 , There is 1 real-number solution.If b² - 4ac < 0 , There is no real-number solution.The roots of the equation are determined by the following calculation:
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Here, we have :
a = 1b = 2c = -81) Calculate the discriminant :
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) Calculate the roots of the equation:
▪️ (1)
[tex]x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}[/tex]
▪️ (2)
[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}[/tex]
>> Therefore, your answers are x = -4 or x = 2.
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Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?
The number of adults =16 and the number of kids =4
Evaluate the expression.
Answer:
-1331
Step-by-step explanation:
Just ask. :)
Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)
A marathon swim follows a triangular course marked with three buoys, A, B, and C. The distance from buoy A to B is 400 meters, B to C is 500 meters, and C to A is 600 meters. What is the smallest angle the swimmers must turn between the buoys
By applying the law of cosine, the smallest angle which the swimmers must turn between the buoys is 41.4°.
How to determine the smallest angle?In order to determine the smallest angle which the swimmers must turn between the buoys, we would apply the law of cosine.
Given the following data:
Side AB = c = 400 meters.Side BC = a = 500 meters.Side CA = b = 600 meters.
Form the law of cosine, we have:
[tex]CosC =\frac{a^2 + b^2 - c^2}{2ab} \\\\CosC =\frac{500^2 + 600^2 - 400^2}{2 \times 500 \times 600}\\\\CosC =\frac{450000}{600000}\\\\C = cos^{-1} 0.75\\\\[/tex]
C = 41.4°.
For angle B, we have:
[tex]CosB =\frac{a^2 + c^2 - b^2}{2ac} \\\\CosB =\frac{500^2 + 400^2 - 600^2}{2 \times 500 \times 400}\\\\CosB =\frac{1}{8}\\\\B = cos^{-1} 0.125\\\\[/tex]
B = 82.8°.
For angle A, we have:
[tex]CosA =\frac{b^2 + c^2 - a^2}{2bc} \\\\CosA =\frac{600^2 + 400^2 - 500^2}{2 \times 600 \times 400}\\\\CosA =\frac{9}{16}\\\\A = cos^{-1} 0.5625\\\\[/tex]
A = 55.8°.
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ac/b−(a+d) if a=−2 , b=3 , c=−12 , and d=−4 .
Answer:
the answer is 14 hopes this helps
Step-by-step explanation:
Ac/b=?
-2(-12)=24/3
24/3=8
8-(a+d)=?
8-(-2(+-)4)=?
8-(-2-4)=?
8+2+4=?
10+4=?
14
The circle graph shows the results of a survey by a bakery on which of their new products 71 customers preferred most. How many customers preferred cake? Round your answer to the nearest whole number. show work and explain to your best ability please and thank you.
Answer:
25 customers
Explanation:
To find the number of people preferred cake, multiply the percentage by total customers.
People who preferred cake:
⇒ 35% × 71
⇒ 24.85
⇒ 25 (rounded to nearest whole number)
Find the length of the third side. If necessary, write in simplest radical form.
2741
8
Answer:
10
Step-by-step explanation:
Let the missing side be 'x'.
Using Pythagorean Theorem, we can find the missing side.
x² + 8² = (2√41)²x² + 64 = 4(41)x² + 64 = 164x² = 100x = 10somebody please help me?
The events A and B are independent events, and the values of P(A) and P(B) are 7/12 and 1/2, respectively
The value of P(A)The event A is given as:
A : Sum greater than 6
In the sample space of a roll of two dice, there are 21 outcomes that are greater than 6, out of a total of 36 outcomes
This means that:
P(A) = 21/36
Simplify
P(A) = 7/12
The value of P(B)The event B is given as:
B : Sum is divisible by 2
In the sample space of a roll of two dice, there are 18 outcomes that are divisible by 2, out of a total of 36 outcomes
This means that:
P(B) = 18/36
Simplify
P(B) = 1/2
Hence, the probability values of P(A) and P(B) are 7/12 and 1/2, respectively
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Paul went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard
deck of 52 cards.
paul has had good luck at blackjack in the past, and he actually got three blackjacks with kings in a
row the last time he played. because of this lucky run, paul thinks that kings are the luckiest card.
the dealer deals the first card to him. in a split second, he can see that it is a black card, but he is
unsure if it is a king.
what is the probability of the card being a king, given that it is a black card? answer choices are
in a percentage format, rounded to the nearest whole number.
Using it's concept, it is found that there is a 8% probability of the card being a king, given that it is a black card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In a standard deck, there are 26 black cards, of which 2 are kings, hence the probability is given by:
p = 2/26 = 0.0769 = 7.69%.
Rounded to the nearest whole number, 8% probability of the card being a king, given that it is a black card.
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factor the expression using the gcf 25+50
Answer:
25(1+2)
Step-by-step explanation:
25 goes into 25 once and 50 twice.
LOOK AT THE PICTURE BELOW PLEASE!
Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).
A fair coin is flipped 120 times. Estimate the expected number of ‘heads’.
Answer:
76.47
How I did it(using a specific range)
(n, 54, 66 (120 C)) 2¹²⁰ = 0.76 × 100 ≈ 76.47
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the obtcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 6. Event B: The sum is divisible by 4. Write your answers as fractions.
Answers:
P(A) = 7/12
P(B) = 1/4
====================================================
Explanation:
Instead of having one die, let's say we have two dice. I'll make one red and the other blue.
I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.
Using that table, we can see the following:
There are 6 copies of "7"There are 5 copies of "8"There are 4 copies of "9"There are 3 copies of "10"There are 2 copies of "11"There is 1 copy of "12"In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.
This is out of 36 ways to roll two dice.
Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12
-----------------------------------
If a number is divisible by 4, then it is a multiple of 4.
The multiples of 4 found in the table are: 4, 8, 12
We have
3 copies of "4"5 copies of "8"1 copy of "12"This gives 1+5+3 = 9 values that are a multiple of 4
P(B) = 9/36 = (1*9)/(4*9) = 1/4
The polar equation r = 8 cos (30) graphs as a rose.
What is the length of the petals of the rose?
The length of the petals of the rose is 8 units
How to determine the length of the petals?The polar equation is given as:
r = 8 cos(30)
The amplitude of the above equation is:
A = 8
This is the same as the length of the petals
i.e.
Length = 8
Hence, the length of the petals of the rose is 8 units
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Three trains are made of identical train cars, so each car has the same number of seats. The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats. How many cars are in each train if no train has more than 25 seats
If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Three trains are made of identical train cars, so each car has the same number of seats.
The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.
If no train has more than 25 seats.
Then the number of the cars on each train will be
Let x, y, and z be the number of the cars in the first, second, and third train.
Then we have
x = 418 / 25
x = 16.75
x ≅ 17
y = 456 / 25
y = 18.24
y ≅ 18
z = 294 / 25
z = 19.76
z ≅ 20
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Answer:
11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train
Step-by-step explanation:
There is a difference of 38 between the numbers 418, 456 and 494.
[tex]418/38=11\\456/38=12\\494/38=13[/tex]
Trust me, this is 100% the correct answer!
hope this helps!
Quick please!!
Tell whether a triangle with the given side lengths is a right triangle.
14 cm, 23 cm, and 25 cm
The midpoint of overline AB is M(4, -5). If the coordinates of A are (6, -4)what are the coordinates of B?
Img attached
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
O It is translated 1 unit right and compressed vertically by a factor of 3.
OIt is translated 1 unit left and compressed vertically by a factor of 3.
O It is translated 1 unit right and stretched vertically by a factor of 3.
OIt is translated 1 unit left and stretched vertically by a factor of 3.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²
We need to find how the parent function transformed to produce the graph of y = 3(x+1)².
The parent graph is shifted 1 unit towards the left by the rule of transformation.
[tex]f(x) = f(x+1)[/tex]
By applying this rule then,
[tex]y(x) = f(x+1)^2[/tex]
Now, the parent function stretched vertically 3 times the previous graph by the rule
[tex]f(x) = 3f(x)[/tex]
Apply this rule then, we get
[tex]y(x) = 3(x+1)^2[/tex]
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A circle is placed in a square with a side length of 4 yards as shown below find the area of the shaded region use the value 3.14 for π and do not round your answer be sure to include the correct unit in your answer
Answer:
If the circle touches all 4 sides, the diameter is 2 so the area us 3.14(4) = 12.56.
16 - 12.56 = your answer
Mark brainliest if I am right pls
factor 6x(x + 12) – 15(x + 12)
Evan places a rectangular birdbath in his garden. The dimensions are 24, 8, and 11
2
in. Explain how to find the maximum amount of water the birdbath can hold. Then find the amount.
The maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We have a rectangular birdbath in his garden. The dimensions are 24, 8, and [tex]1\dfrac{1}{2}[/tex] inches
The maximum amount of water in the birdbath = volume of the birdbath
[tex]\rm = 24 \times 8 \times 1\dfrac{1}{2}[/tex]
[tex]\rm = 24 \times 8 \times \dfrac{3}{2}[/tex]
= 288 cubic in
Thus, the maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.
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Carl used 10 2/9 of an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left if he started with 20 inches?
(please put you solution)
Answer:
4 19/36
Step-by-step explanation:
we have to subtract the sum of 10 2/9 and 5 1/4 from 20 to get the answer.
=> 10 2/9 + 5 1/4
As a c/d is a + c/d,
10 2/9 + 5 1/4 can also be written as 10+5+2/9+1/4
now we have to simplify it
=> 10+5 = 15
=> 2/9 = (2*4)/9*4) = 8/36, 1/4 = (1*9)/(4*9) = 9/36
now we have the same denominators
add,
8/36 + 9/36 = (8+9)/36 = 17/36
=> now we know that 10 2/9 + 5 1/4 is 15 17/36 ( which is 15 + 17/36)
=> next step is to convert 15 17/36 into an improper fraction
15 17/36 = [(15*36)+17]/36 = [540+17]/36 = 557/36
=> now we just have to subtract 557/26 from 20
20 - 557/36 = [(20*36)-557]/36 = [720-557]/36 = 163/36
=> we can convert 163/36 into a mixed fraction if we want to
163/36 converted into mixed fraction is 4 19/36
hope this helps :)
3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
Answer:
6
Step-by-step explanation:
g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.
Let's find the value of f(0).
f(x)= x²
f(0)= 0²
f(0)= 0
Now, we can find the value of g(f(0)).
g(x)= x +6
g(f(0))
= g(0)
= 0 +6
= 6
please help! the questions are in the photo.
please help me solve this
Answer:
It's 5/30 Seniors. As a fraction, it would be 16.7 % of the seniors take the bus. Hope this helps!!!!!
Answer:
5/35=1/7=0.14
Step-by-step explanation:
35 in total for Senior
5 take bus
5/35=1/7