Answer:
67 degrees
Step-by-step explanation:
Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all?
plss help me thank you!!
A 4:2 ratio can be simpified even more to a 2:1 ratio, which means by continuing the ratio you would get a 34 books in 17 months
Emily is creating an obstacle course. One section of the course will have a 12 foot ladder leaning against a 10 footwall. How far from the wall should the bottom of the ladder be placed so that the ladder will reach the top of thewall? Round to the nearest tenth of a foot.
ANSWER
6.6 ft
EXPLANATION
The section of the course will contain a 12 foot ladder leaning against a 10 foot wall.
Let us draw a diagram of the situation:
This situation forms the shape of a Right Angle Triangle.
x represents the distance of the bottom of the ladder from the wall.
We can find the value of x by using Pythagoras rule:
\(\text{hyp}^2=opp^2+adj^2\)From the question:
hyp = 12 ft
opp = 10 ft
adj = x ft
So, we have that:
\(\begin{gathered} 12^2=10^2+x^2 \\ \Rightarrow144-100=x^2 \\ x^2=44^2 \\ x\text{ = }\sqrt[]{44} \\ x\text{ = 6.6 ft} \end{gathered}\)The wall should be 6.6 ft from the bottom of the ladder.
Do 5 problems on each operation
1. Addition
2. Subtraction
3. Multiplication
4. Division
For Addition:
5 + 7 = 1212 + 3 = 159 + 2 = 116 + 4 = 108 + 1 = 9For Subtraction:
15 - 6 = 910 - 3 = 78 - 2 = 612 - 5 = 79 - 4 = 5For Multiplication:
2 x 3 = 65 x 4 = 207 x 2 = 149 x 1 = 96 x 5 = 30For Division:
12 ÷ 3 = 418 ÷ 2 = 916 ÷ 4 = 410 ÷ 5 = 225 ÷ 5 = 5What is operation?Addition combines numbers using the symbol '+' to create a sum. Adding 2 and 3 equals 5 (2 + 3 = 5). Subtraction finds the difference between two numbers. Subtraction subtracts with the symbol '-'. When you subtract 4 from 9, the difference is 5 (9 - 4 = 5).
Multiplication involves repeated addition or combining equal groups. The multiplication symbol is 'x' or '•'. E.g., 3 x 4 = 12. Division splits a number into parts or determines how many times one number is in another using '÷' or '/'. 12 ÷ 3 = 4.
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When the coordinates 1 1 4 4 7 1 and 4 − 2 are joined which shape is formed 5 points group of answer choices parallelogram rectangle trapezoid Square?
Given the provided coordinates of the points, The shape that is formed is a parallelogram because the slopes of the opposite sides are same.
What do you mean by slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.
What do you mean by coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
slope between (1,1) and (4,4),
m1 = 4-1/4-1 =3/3 =1
slope between (4,-2) and (7,1),
m2= 1+2/7-4 = 3/3 =1
m1=m2
similarly, slope between (1,1) and (4,-2),
m3= -2-1/4-1 = -3/3 =-1
slope between (7,1) and (4,4)
m4= 1-4/7-4 = -3/3 =-1
m3=m4
So, slopes of opposite sides are same that means they are parallel, The shape is parallelogram.
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Mmusi borrows an amount of money from Aggie. After two years, Mmusi pays back money, plus 18% simple interest per year. He has to pay back an amount of R4080 much money did he borrow from Aggie?
The required, Mmusi borrowed R3000 from Aggie as per the given conditions.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.
Amount = Principal [1 + rate×time]
Let's call the amount Mmusi borrowed from Aggie "P".
After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P
So if he has to pay back R4080, we can set up an equation to solve for P:
1.36P = 4080
To find P, we can divide both sides by 1.36:
P = 4080 / 1.36 = 3000
So Mmusi borrowed R3000 from Aggie.
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Robert wants to try some new chocolate chip cookie recipes. His current recipe calls for three and a half cups of flour for every bag of chocolate chips. He wants to determine which recipes require more or less flour than his current recipe. Sort the items into the diagram below.
Please attach the diagram with your question
What is the solution to this equation?
2(5x + 8) = 6x + 20
O A. x= -9
O B. x= 9
O C. x = 1
O D. x= -1
SUBM
Answer:
x=1
Step-by-step explanation:
2(5x + 8) = 6x + 20
Divide each side by 2
2/2(5x + 8) = 6x/2 + 20/2
5x+8 = 3x+10
Subtract 3x from each side
5x-3x +8 = 3x-3x+10
2x+8 = 10
Subtract 8 from each side
2x+8-8=10-8
2x=2
Divide by 2
2x/2 = 2/2
x=1
0.1x − 5 = −11
Show work
Answer:
x = -60
Step-by-step explanation:
Given the equation:
\( \displaystyle{0.1x - 5 = - 11}\)
Add both sides by 5
\( \displaystyle{0.1x - 5 + 5= - 11 + 5} \\ \\ \displaystyle{0.1x = - 6}\)
Multiply both sides by 10 to get rid of the decimal
\( \displaystyle{0.1x \times 10 = - 6 \times 10} \\ \\ \displaystyle{x= - 60}\)
Therefore, x = -60
Answer:
x = -60
Step-by-step explanation:
0.1x − 5 = −11
0.1x = -11 + 5
0.1x = -6 multiply by 10 both sides
x = -60
--------------------------
check0.1 x (- 60) - 5 = -11
-6 - 5 = -11
-11 = -11
the answer is goodIt rained 60% of the 30 days in April last year. How many days
did it rain in April?
o 16
0 18
o 21
o 24
Answer:
18
Step-by-step explanation:
60% of 30 is 18
Would you use a linear or quadratic model to represent the data? Explain a reason for choosing that model.
Answer:
Plot the points on the graphing calculator.
x = points scored in rookie season
y = points scored in entire career
Linear regression model:
y = 6.5828x + 17,664.5304
r^2 = .76, r = .8718
Quadratic regression model:
y = .004856x^2 - 7.5754x + 26,232.0899
R^2 = .8766
Either model would work, but I would choose a quadratic regression model because the coefficient of determination in the quadratic regression model is greater than the coefficient of determination in the linear regression model.
Write y=2|x+2|−3 as a piecewise function.
Answer:
Below.
Step-by-step explanation:
f(x) = 2(x + 2) - 3 when x ≥ -2
f(x) = -2(x + 2) - 3 when x < -2
A cube of side 5 is built with black and white cubes of side 1, so that the cubes next to each other have different colors and the corner cubes are black, as shown in the figure. How many white cubes were used?
Answer: 62
Step-by-step explanation:
top row has 12
the next row has 1 more =13
and it alternates
12+13+12+13+12=62
A town’s population increases at a rate of 2.3% every year. The current population is 7,500 people. Which equation models this scenario?
Answer:
7500 ( 1.023 ) ^(x)
Step-by-step explanation:
x is the number of years that go by
2x - x = 3x - 12 what does x equal
Answer:
2x-3x- x=-12
-2x= -12
x=6
A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer:
The numerical limits for a B-grade is between 81 and 92
Step-by-step explanation:
Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade
Please check attachment for complete solution and explanation
Security A and B have a covariance of 450%2. Security A is estimated to have a variance of 900%2. The correlation between the two securities is 0.8. What is the standard deviation of security B?
A) Cannot be computed with the information provided
B) 225%2
C) 15%
D) 18.75%
E) 62.5%
The standard deviation of security B, the answer is option D, 18.75%.
Given that Security A and B have a covariance of 450%2,
Security A is estimated to have a variance of 900%2,
and the correlation between the two securities is 0.8.
We know that the covariance between Security A and B is given as;
Cov(A,B) = p(A,B)σAσB, where p(A,B)
is the correlation between A and B, σA is the standard deviation of A, and σB is the standard deviation of B.
Therefore, the standard deviation of Security B is given by;
σB = Cov(A,B)/[p(A,B)σA]
= (450%2)/[0.8 × (900%2)1/2]
= (450%2)/[0.8 × (900)1/2]%
≈ 18.75%.
Therefore, the answer is option D, 18.75%.
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Write an equation that represents the line.
Use exact numbers.
Answer:
\(y=-\frac{4}{3} x+2\)
Step-by-step explanation:
In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.
Slope-Intercept Form: y = mx+b
Where b represents the Y-intercept
Where m represents the Slope
**********************************************
That's all you need to know about Slope-Intercept Form!
How do we get started?
Well first off, take a look at the graph and spot two points that are shown
The two points will be: (0, 2) and (3, -2)
Then use the two points to Solve for the Slope of the line!
m = slope
m = \(\frac{y2-y1}{x2-x1}\) Second y - first y/ Second x - First x
m = \(\frac{-2-2}{3-0}\)
m = \(\frac{-4}{3}\) Turn the whole answer negative since there's a negative
m = \(-\frac{4}{3}\) Final Answer
so the slope of the line is -4/3
Now we need to get the Y-intercept of the line!
Easy we don't need to solve just look how many units the graph goes up in y-axis?
2 units
so the y-intercept of the line is 2
Equation: y = -4/3x + 2
What is the standard form of function f?
f(x)=4(x+6)+5
Substitute numerical values into the equation for a, b, and c.
Answer:
A = 4; B = -1 ; C = -29
Step-by-step explanation:
y = 4(x + 6) + 5
y = 4x + 24 +5
y = 4x + 29
Standard form: Ax + By = C
4x - y = -29
Answer:
Step-by-step explanation:
Hope this Helps ;)
can someone please help me with this question
Answer:
30.4
Step-by-step explanation:
17+28+32+35+59+20+19+33+30+31=304
304/10=30.4
Help ASAP thank you!
Use these scores to answer the following question: 40, 25, 15, 19,16 Compute the Standard Deviation using the Conceptual (Deviation Score) Formula What is the Sum of Squares? A. 0410 B. 398 C. 422
Using the conceptual Formula, the sum of the squares is option (C) 422
To compute the standard deviation using the conceptual (deviation score) formula, we need to follow these steps:
Calculate the mean of the scores:
mean = (40 + 25 + 15 + 19 + 16) / 5 = 23
Calculate the deviation score for each score:
deviation score = score - mean
The deviation scores for each score are:
40 - 23 = 17
25 - 23 = 2
15 - 23 = -8
19 - 23 = -4
16 - 23 = -7
Square each deviation score:
17^2 = 289
2^2 = 4
(-8)^2 = 64
(-4)^2 = 16
(-7)^2 = 49
Calculate the sum of the squared deviation scores:
Sum of squares = 289 + 4 + 64 + 16 + 49 = 422
Therefore, the correct option is (C) 422
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Help please someone please give me the correct answer
I will mark you brainliest for the correct answer!!
This is a test!!!
Answer:
Angle X and W are verticalStep-by-step explanation:
It's wrong statementHow far can you travel at an average speed of 54mph over 3hrs?
Answer:
162 miles
Step-by-step explanation:
54(3) = 162
Answer:
162 miles?
Step-by-step explanation:
Help pleaseeeeeeeeeee
Answer:
1.No
2.No
Step-by-step explanation:
5=x+5 x=10
5=10+5
5=15 is not solution
12x=196 x=7
12*7=196
84=196
The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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help help help help im shaking
Answer:
Step-by-step explanation:
help help help im also
Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of choosing a 5 and then a 6 is 1/49
Finding the probability of the compound eventFrom the question, we have the following parameters that can be used in our computation:
The tiles
Where we have
Total = 7
The probability of choosing a 5 and then a 6 is
P = P(5) * P(6)
So, we have
P = 1/7 * 1/7
Evaluate
P = 1/49
Hence, the probability of choosing a 5 and then a 6 is 1/49
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Question
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6
the volume of a gas varies directly with its temperature and inversely with the pressure. if the volume of a certain gas is 10 cubic feet at a temperature of 300 k and a pressure of 30 pounds per square inch, what is the volume of the same gas at 280 k when the pressure is 20 pounds per square inch?
Therefore the volume of the gas is 14cubic feet.
What is the gas law?The equation of state of an ideal gas, often known as the general gas equation, is the ideal gas law. Even though it has a number of restrictions, it is a good approximation of the behavior of various gases under a variety of situations. rules relating to gases, which link a gas's volume, pressure, and temperature. In accordance with Boyle's law, which bears Robert Boyle's name, a gas's pressure P and volume V vary inversely at constant temperature. PV = k, where k is a constant, is the formula for this relationship. As the pressure lowers, the gas volume rises according to Boyle's Law. According to Charles' Law, as a gas's temperature rises, its volume expands. We also know from Avogadro's Law that as gas concentration rises, so does its volume.
The volume of a gas varies directly with its temperature and inversely with the pressure.
V ∝ T/P
V= Volume of the gas at constant mass
T= Temperature at constant mass
P= pressure at constant mass
\(V_{1} /V_{2}\) = \(\frac{T_{1}/ T_{2}}{P_{1}/ P_{2}}\)
At constant mass, the volume of a certain gas is 10 cubic feet and a pressure of 30 pound per square inch at a temperature 300 k.
\(V_{2}\) = 14 cubic feet
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find the indicated side of the triangle a=
Ar of triangle = 3b , Ar of triangle = 6a a = 12/root3
a jar contains black and white marbles. two marbles are chosen without replacement. the probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. what is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?
The probability of selecting a white marble on the second draw, given that the first marble drawn was black, is approximately 0.7234.
Conditional probability is the probability of an event occurring given that another event has already occurred
Let B denote the event of selecting a black marble on the first draw, and W denote the event of selecting a white marble on the second draw. We are given that P(B) = 0.47 and P(B∩W) = 0.34.
To find P(W|B), we can use the formula for conditional probability
P(W|B) = P(B∩W) / P(B)
Substituting the given values, we get
P(W|B) = 0.34 / 0.47
Simplifying this expression, we get
P(W|B) ≈ 0.7234
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