Answer:
×=-11
Step-by-step explanation:
3x+21=-12
3×=-33
×=-11
Answer:
x=-11
x+7=-4
Step-by-step explanation:
3(x+7)=-12
3x+21=-12
3x=-12-21
3x=-33
x=-33/3
x=-11
-11+7=-4
You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 6.
Answer:
2/13
Step-by-step explanation:
Since there's 4 of each card in the deck this means that there're 4 sixes and 4 aces, so 8 cards in a 52 card deck gives the problem 8/52 which equals 2/13
Find the surface area of the pyramid. A triangular pyramid. The base triangle has a base of 8 meters and a height of 6.9 meters. The height of a triangular face is labeled 7 meters. The surface area is square meters.
If the base triangle has a base of 8 meters and a height of 6.9 meters. the surface area of the pyramid is 139.6 square meters.
How to find the surface area?First, let's find the area of the base triangle:
Area of base triangle = (1/2) * base * height
Area of base triangle = (1/2) * 8 * 6.9
Area of base triangle = 27.6 square meters
Now, let's find the area of one of the triangular faces:
Area of triangular face = (1/2) * base * height
Area of triangular face = (1/2) * 8 * 7
Area of triangular face = 28 square meters
Since the pyramid has four triangular faces, the total area of the triangular faces is 4 times the area of one triangular face, which is:
4 * 28 = 112 square meters
Total surface area = area of base triangle + area of triangular faces
Total surface area = 27.6 + 112
Total surface area = 139.6 square meters
Therefore, the surface area of the pyramid is 139.6 square meters.
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Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats.
What are the missing values in the table?
PLSSSS QUICK
Step-by-step explanation:
35:12
40:17
45:22
50:27
55:32
What is the area of the triangle in centimeters squared?
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $350. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty
Divide the season pass cost by the daily capstone:
350 / 69 = 5.07
They would have to ski 6 days for the season pass to be less expensive
Plot the y-intercept on the graph.
A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 30 represents the total cost of y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then find four points on the line.
Answer:
y intercept = 30
slope = 40
four points on the line would include..
(0, 30)
(1, 70)
(3, 150)
Step-by-step explanation:
y = mx + b
Find the quotient. 2x − 3 x ÷ 7 x2
Answer: 8/7x
Step-by-step explanation:
2x-3x/7x2
rewrite
2x-3/7x x 2
calculate
2x-6/7x
calculate
solution
8/7x
Which point is a solution to the inequality shown in this graph?
(5.0)
O A. (60)
O B. (0, -3)
O C. (5,-5)
ОО
D. (0,-5)
Evaluate the function f(r) the square root of r+6 -4 at the given values of the independent variable and simplify. a. f(-6) b. f(43) c. f(x-6)
SOLUTION
Write out the function given
\(f(r)=\sqrt[]{r+6}-4\)The independent variable in the function above is r.
Hence
For f(-6), we have r=-6,
substitute into the function given
\(\begin{gathered} f(-6),\text{ r=-6} \\ f(-6)=\sqrt[]{-6+6}-4 \\ f(-6)=\sqrt[]{0}-4=4 \\ Then,f(-6)=-4 \end{gathered}\)Hence, F(-6) = - 4
For f(43), we have
\(\begin{gathered} f(43),\text{ r=43} \\ \text{Then} \\ f(43)=\sqrt[]{43+6}-4 \\ f(43)=\sqrt[]{49}-4=7-4=3 \\ \text{Hence, f(43) = 3} \end{gathered}\)Thus, F(43) = 3
For f(x - 6), we have
\(\begin{gathered} f(x-6)\Rightarrow r=x-6 \\ \text{Then } \\ f(x-6)=\sqrt[]{x-6+6}-4 \\ f(x-6)=\sqrt[]{x}-4 \end{gathered}\)Thus, f(x-6) = (√x) - 4
Which inequality represents the situation: Kate took $3 out of her purse and still had at least $8 in it. How much did she have to begin with?
Answer:
k-3 ≥8
Step-by-step explanation:
k-3 ≥8
kate takes out 3 dollars and has at least 8 dollars left, meaning she could have more.
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answer:
162.4$
Step-by-step explanation:
mark me on brainliest please follow me to
The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.
Length= 4x Width= x+3 Area=352
Answer:
11 in and 32 in-------------------------
Given a rectangle with dimensions of:
l = 4x in, w = x + 3 in,And area of A = 352 in²Use area equation and find the value of x:
A = lw352 = 4x(x + 3)88 = x(x + 3)88 = x² + 3xx² + 3x - 88 = 0x² + 11x - 8x - 88 = 0x(x + 11) - 8(x + 11) = 0(x - 8)(x + 11) = 0x = 8 or x = - 11The second root is ignored as being negative.
The dimensions of the rectangle are:
l = 4*8 = 32 inw = 8 + 3 = 11 inElizabeth works picking blackberries. She is paid $0.25 per quart. In a week where she picks 1053 quarts, what’s her total pay?
Answer:
$263.25
Step-by-step explanation:
let the number of quarts picked be x
given that Elizabeth is paid $0.25 per quart, her earnings for x quarts would be $ 0.25x
it is given that she pickes 1053 quarts (i.e x = 1053)
hence our equation for her earnings becomes,
$0.25 x 1053
= $263.25
Convert to standard notation. 1.325 X10^0
The expression 1.325 * 10⁰ in standard notation is; 1.325
How to write number in standard notation?
We are given the number in scientific notation as;
1.325 * 10⁰
A standard notation is a form of writing a given number, an equation, or an expression in a form that follows certain rules. For example, 4.5 billion years is written as 4,500,000,000 years.
Now, applying the concept of standard notation to our question, we can write the expression as;
1.325 * 10⁰ = 1.325 * 1
This is because 10⁰ = 1.
Thus,
The expression 1.325 * 10⁰ in standard notation is 1.325
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What is the length of AB? Help ASAP
Answer:
6/8
Step-by-step explanation:
simplify and find the slope
If 6 sandwich rolls cost $1.08, How much will 18 rolls cost ?
Answer: 3.24
Step-by-step explanation: because :)
questions are in the pictures
Answer:
True
I hope this helps!
PLEASE HELP, please write it out in the system of equations (step by step)
2x + y = - 1 ; x - 2y = - 8
Answer:
\({x,y}={-2,3}\)
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Answer:
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
An opinion poll reported that 36% believe a certain governor broke campaign financing laws in his election campaign. How many people would you have to survey to be 99% confident that you can estimate to within 1% the fraction of people who believe the governor broke campaign financing laws? Round your answer to whole number.
Answer:
The number of people would have participate in opinion poll
n = 15,267
Step-by-step explanation:
Step(i):-
Given data an opinion poll reported that 36% believe a certain governor broke campaign financing laws in his election campaign.
Given proportion = 36% =0.36
Given the margin of error = 1% =0.01
Level of significance = 99% 0 r 0.01
Z₀.₀₁ = 2.576
step(ii):-
The margin of error of Population proportion is determined by
\(M.E = \frac{Z_{0.01} \sqrt{p(1-p)} }{\sqrt{n} }\)
\(0.01 = \frac{2.576 \sqrt{0.36(1-0.36)} }{\sqrt{n} }\)
\(\sqrt{n} = \frac{2.576 \sqrt{0.36(1-0.36)} }{0.01 }\)
√n = 123.648
Squaring on both sides , we get
n = 15,267
final answer:-
The number of people would have participate in opinion poll
n = 15,267
Is numbers 9 and 10 correct ??!!
For number 9 I put : -2
For number 10 I put : 5/4, 4/5 , .75, 1.4, -5.8
Answer:
the answers are -2 and -5.8, 0.75, 4/5, 5/4, 1.4
Step-by-step explanation:
Answer #8 that can be seen on the picture please.
ANSWER
\(\begin{gathered} EXPLANATIONThe given triangle is an isosceles right triangle. This implies that the two angles that are not 90 degrees are equal and both have a measure of 45 degrees.
This implies that:
\(\begin{gathered} To find the missing side lengths, we have to apply the Pythagoras theorem:\(TD^2+DO^2=TO^2\)Since it is an isosceles triangle, the two sides TD and DO are equal. This implies that:
\(\begin{gathered} TD^2+TD^2=TO^2 \\ \Rightarrow2TD^2=14^2^{}=196 \\ \Rightarrow TD^2=\frac{196}{2}=98^{} \\ \Rightarrow TD=\sqrt[]{98}=\sqrt[]{7\cdot7\cdot2} \\ TD=7\sqrt[]{2} \end{gathered}\)Therefore:
\(DO=7\sqrt[]{2}\)I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Question content area top Part 1 Find the surface area of the prism. Question content area bottom Part 1 The surface area is enter your response here .ar prism. The base of the prism is an isosceles triangle. 41 40 cm The surface area is cm2
The surface area of the given triangular prism having an isosceles triangle base with sides 40,41 and 43 cm, is 2274 cm².
What is area?Area is a measure of the size of a two-dimensional shape or surface, such as a rectangle, triangle, circle, or any other shape that has length and width. It is usually expressed in square units, such as square meters, square centimeters, square feet, or square inches.
To find the surface area of a triangular prism, we need to find the area of each face of the prism and add them up.
The triangular base of the prism is an isosceles triangle with sides of 40 cm, 41 cm, and 43 cm.We may use Heron's formula to determine the area of this triangle:
s = (40 + 41 + 43) / 2 = 62
A = √(s(s-40)(s-41)(s-43)) = √(622221*19) = 798
Therefore, the area of the triangular base is 798 cm².
The height of the prism is given as 18 cm, which is also the length of the rectangular side of the prism.
The two other faces of the prism are rectangles with lengths equal to the base of the triangle (41 cm), and widths equal to the height of the prism (18 cm). The area of each rectangle is:
A = lw = 4118 = 738
Therefore, the area of both rectangles is 2*738 = 1476 cm².
The total surface area of the prism is the sum of the area of the base and the area of both rectangular sides:
Total surface area = Area of base + 2*(Area of rectangle)
Total surface area = 798 + 2*738
Total surface area = 2274 cm².
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The Thomas family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Answer:
81
Step-by-step explanation:
4 x 18 =72 + 9 =81
PLEASE HELP I WILL GIVE BRAINLEST
Answer:
$13.80
Step-by-step explanation:
all you have to do is subtract 20 and 6.20
Answer:
hi mia its me mari
The vector (3, -7) is rotated by an angle of 3pi/4 radians and then reflected across the y-axis.
If the resulting vector is (a/b), then a =
and b =
Answer:
\(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).
Step-by-step explanation:
The resulting vector is the product of the input and rotation vectors. That is:
\(\vec R = \left[\begin{array}{ccc}\cos \theta&\ -\sin \theta\\ \sin \theta&\cos \theta\end{array}\right] \left[\begin{array}{ccc}3\\-7\end{array}\right]\)
\(\vec R = \left[\begin{array}{ccc}3\cdot \cos \theta + 7 \cdot \sin \theta\\ 3\cdot \sin \theta - 7 \cdot \cos \theta\end{array}\right]\)
Now, the resulting vector is determined by evaluating in given angle:
\(\theta = \frac{3\pi}{4}\)
\(\vec R = \left[\begin{array}{ccc} 2\sqrt{2}\\ 5\sqrt{2}\end{array}\right]\)
The resulting vector is \((2\sqrt{2} , 5\sqrt{2})\). Then, \(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
\(for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75\)
\(for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6\)
Write an expression that represents the number of shells in pile 2.
Answer:
2
Step-by-step explanation:
4/2=2