Answer:
x=3
CD = 13
Step-by-step explanation:
BE = CD in a parallelogram
1+4x = 5x -2
Subtract 4x from each side
1+4x-4x = 5x-2 -4x
1 = x-2
Add 2 to each side
1+2 = x-2+2
3 =x
The length of CD
CD = 5x-2 = 5*3 -2 = 15-2 = 13
Evaluate f(x) = 2x - 7 when x = 4.
Answer:
\( x = \frac{11}{2} \\ \)
Step-by-step explanation:
f(x) = 2x - 7
when x = 4
It means that equate f(x) to the value of x that's 4 and solve for x
That's
f(x) = 4
We have
\(2x - 7 = 4\)
Add 7 to both sides of the equation
\(2x + 7 - 7 = 4 + 7 \\ 2x = 11\)
Divide both sides by 2
\( \frac{2x}{2} = \frac{11}{2} \\ \)
We have the final answer as
\(x = \frac{11}{2} \\ \)
Hope this helps you
A quick quiz consists of 4 multiple choice problems, each of which has 6 answers, only one of which is correct. If you make random guesses on all 4 problems (a) What is the probability that all 4 of your answers are incorrect? (use four decimals) answer: (b) What is the probability that all 4 of your answers are correct? (use four decimals) answer:
(a) The probability that all 4 of your answers are incorrect is 0.4823.
The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).
(b) The probability that all 4 of your answers are correct is 0.0008.
The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).
Look here to know more about probability
https://brainly.com/question/31158335
#SPJ11
Use the number line to help you compare the numbers 1.3 and 1.7.
1.0-2.0
O 1.3 >1.7
O 1.3 = 1.7
O 1.3 < 1.7
O 1.7 < 1.3
The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x
What is the value of a?
2
-3
3
-2
Answer:
2/x
Step-by-step explanation:
The easy way:
take point (2,1) on graph g
subst the values into g(x)=a/x
1=a/2
a=2
thus -> 2/x
The value of a is 2 for the transformed function g(x) = a/x.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of a is calculated as,
Take point (2,1) on graph g and substitute the values into g(x)=a/x
1=a/2
a=2
Therefore, the value of a is 2 for the transformed function g(x) = a/x.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ2
13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
we have that
A quadratic equation that will have a solution of only x = 0 is given by the equation
\(y=x^2\)Solve the inequality.
8/5>s+12/5
Solve for s by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
\(s < -\frac{4}{5}\)
Interval Notation:
\((-\)∝, \(-\frac{4}{5})\)
what is the value of a?
A.-16
B.-3
C.3
D.16
Answer:
Which equation do I refer to?
Step-by-step explanation:
Father bought x sweets.(x-4) were eaten by the children and 20 were left. How many sweets did thier father bought?
Answer:
24
Step-by-step explanation:
x = total sweets bought
total sweet eaten = x - 4
sweets left = 20
x - 4 = 20
combine like terms
x = 20 + 4
x = 24
BONUS: Find the value of x. Show your work ACDE - AFGH D 7x 8x - 1 E F G 9x 10x + 1 H
The value of x is 1.
Comparing similar triangles.On comparison, when two or more triangles have some common relations with respect to their sides or measure of internal angles, they are said to be similar.
To find the value of x, compare the corresponding sides of the two triangles.
To have;
7x/ 9x = (8x - 1)/ (10x + 1)
9x (8x - 1) = 7x(10x + 1)
72x^2 - 9x = 70x^2 + 7x
collect like terms
72x^2 - 70x^2 - 9x + 7x = 0
2x^2 -2x = 0
2x(x - 1) = 0
2x = 0 or x - 1 = 0
x = 0. or x = 1
Therefore,
x = 1
Learn more about similar triangles at https://brainly.com/question/6844025
#SPJ1
Answer:
Step-by-step explanation:
ur mom ur mommy
how many pattern block trapezoids would create 3 hexagons
Answer:
Step-by-step explanation:
How many pattern block trapezoids would create for hexagons?
2 trapezoids compose a hexagon using equal-size shapes: 2 trapezoids, 6 triangles, or 3 blue rhombuses. compose hexagons using different shapes. So 2 trapezoids create 1 hexagon. This means 6 trapezoids make 3 hexagons.
The exact number of trapezoids needed to create three hexagons depends on the size and shape of the hexagons.
However, in general, you would need at least 18 trapezoids.
What is Hexagon?An hexagon is a six-sided polygon. It is made up of six equilateral triangles and six trapezoids.
If you are looking to create larger hexagons you will need more trapezoids.
Depending on the size and shape, you could need as many as 24 or more trapezoids.
An hexagon is a six-sided polygon. It is made up of six equilateral triangles and six trapezoids.
Hence, To create an hexagon using pattern blocks, you need 10 equilateral triangles and 20 trapezoids.
Therefore, to create 5 hexagons.
learn more about hexagon here
brainly.com/question/10153419
#SPJ2
What happens to the range of the data set shown below if the number 13 is added to the data set?
14, 17, 16, 18, 19, 15, 20, 21, 22
A. The range will increase by one.
B. The range will not change.
C. There will be two ranges.
D. The range decreases by 1.
Answer:
A. The range will increase by one
Step-by-step explanation:
The range is the difference between the lowest and highest number in the data set.
In the data set 14 is lowest and 22 the highest with a difference (range) of 8.
If 13 is added this will be the lowest number and 22 still the highest - this will give a range of 9 so this is an increase by one
Answer:
The answer is A
Step-by-step explanation:
2. At West School, there are 20 classrooms.
Each classroom has 20 students. How
many students are at West School?
Answer:
Step-by-step explanation:
20x20=400
Answer: Your answer is 400 students, hope this helps.
Peter bought 888 lemons for \$6$6dollar sign, 6. Each lemon was the same price. What was the cost for 111 lemon?
Answer:
$0.75
Step-by-step explanation:
Peter bought 8 lemons for $6dollar sign, 6. Each lemon was the same price. What was the cost for 1 lemon?
From the above question:
8 lemons = $6
1 lemon = x
Cross Multiply
8x = $6 × 1
x = $6/8
x = $0.75
Therefore, the cost of 1 lemon = $0.75
The wholesale price for a shirt is $3.50 . A certain department store marks up the wholesale price by 90 %. Find the price of the shirt in the department store.
Answer: $6.65
Step-by-step explanation:
The price of the shirt in the department store = wholesale price + 90% of wholesale price
= 3.50 + (3.50*90)/100
= 3.50 + 3.15
= 6.65
Therefore, the price of the shirt is $6.65
Please help me answer this question. Can you the doc
Answer:
I opened the doc but what's the question..? I only see attendance..
Step-by-step explanation:
If you solve an equation and you end up with 4=4 that means that there are infinite solutions
If you solve an equaton and you get with 4=4 that actually means there are infinite solutions, beacuse the result you got is absolutely true.
However, if you get 4=1 or 5=3, that means the equation has no solutions beacuse you got a false resulte.
Therefore, the given statement is true.
L'Airbus A380 consomme approximativement 15 600 litres de kérosène à
l'heure. Calcule sa consommation pour 1/2 heure.
Answer:
7 800 pour 1/2 heure
Step-by-step explanation:
15 600/2=7 800
Molly bought 15 keychains for her friends for $2.67 each. How much did she spend altogether?
Answer:
$40.05
Step-by-step explanation:
Why? Well, 15 keychains x $2.67 (per keychain) = $40.05
Find M a
A.
49
B.
35
C.
95
D.
275
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
Robinson and Friday are the only people on Despair, a small island. They both produce grain and meat. Let G denote the quantity of grain, and M denote the quantity of meat. The following equations summarize their production possibility curves (PPCS) per week. Robinson: G=21−7M Friday: G=146−8M Suppose Despair is a closed economy. If Robinson and Friday would like to jointly consume 16 units of meat per week, they would be able to jointly consume a maximum of [Answer] units of grain per week. (In decimal numbers, with two decimal places, please.) Continue with the previous question. In this closed economy, any admissible terms of trade between Robinson and Friday have to smaller than [Answer] units of grain per unit of meat. (In decimal numbers, with two decimal places, please.) Answer: Question 19 Not complete Marked out of 1.00 P Flag question Continue with the previous question. Suppose Despair is now opened up to trade with the rest of the world, and can trade at world terms of trade of 11.8 units of grain per unit of meat. If Robinson and Friday would like to jointly consume 16 units of meat per week, they would be able to jointly consume a maximum of [Answer] units of grain per week. (In decimal numbers, with two decimal places, please.) Answer:
The Robinson and Friday jointly consume a maximum of 0 units of grain per week when they produce 16 units of meat.
The second part of the question is 8 units of grain per unit of meat.
To find the maximum units of grain that Robinson and Friday can jointly consume per week when they produce 16 units of meat, to find the intersection point of their production possibility curves (PPCs).
Robinson's PPC: G = 21 - 7M
Friday's PPC: G = 146 - 8M
Setting both equations equal to each other:
21 - 7M = 146 - 8M
Simplifying the equation:
M = 125
Substituting the value of M back into either equation, let's use Robinson's PPC:
G = 21 - 7(125)
G = 21 - 875
G = -854
Since negative quantities are not meaningful in this context, disregard the negative solution.
To find the admissible terms of trade, to find the slope of their production possibility curves at the point where they consume 16 units of meat.
Taking the derivative of Robinson's production possibility curve equation with respect to M:
dG/dM = -7
Taking the derivative of Friday's production possibility curve equation with respect to M:
dG/dM = -8
The absolute values of these slopes represent the opportunity cost of meat in terms of grain for each person. Therefore, the admissible terms of trade between Robinson and Friday have to be smaller than the absolute value of the steepest slope, which is 8 units of grain per unit of meat.
To know more about produce here
https://brainly.com/question/30698459
#SPJ4
pleaseee help
Use the triangular prism shown below to answer this question
1. The Perimeter of the base is 32cm
2. The area of the base is 48 cm²
3. Total surface area of the prism is 1184cm²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces.
Surface area is the amount of space covering the outside of a three-dimensional shape.
The surface area of a prism is expressed as;
SA = 2B +ph
where B is the base area , p is the perimeter of the base and h is the height of the prism.
1. To find the perimeter we need to find the hypotenuse of the base.
x² = 8² +6²
x² = 64+36
x² = 100
x = √100
x = 10 cm
therefore the hypotenuse is 10cm
perimeter = 10+10 +12 = 32 cm
2. The area of the base = 1/2bh
= 1/2 × 12 × 8
= 48cm²
3. The surface area = 2 × 48 + 32 × 34
= 96 + 1088
= 1184 cm²
learn more about surface area of prism from
https://brainly.com/question/1297098
#SPJ1
Two walls in Tiffany's room are the same size. Tiffany paints 1/4 of one wall. Roberto paints 1/6 of the other wall. Who painted a greater amount in Tiffany's room.
Since 1/4 is greater than 1/6 we can infer that Tiffany painted more of the room's wall.
Since most walls are square or rectangular, their surface area may be calculated by multiplying the width and height values, then taking out any spaces for doors or windows. However, unusual architecture and design might lead to the combination of the rectangle with triangular, round, or trapezoidal shapes. Using the fundamental formulas for estimating the area of two-dimensional forms is the key to accurately determining the surface area of a wall.
We must determine the precise dimensions of the parts Tiffany and Roberto painted in order to compare the quantity of each.
Assume for the moment that the wall is one unit in size. Tiffany then painted 1/4.
For more such questions on Area
https://brainly.com/question/25292087
#SPJ4
The following multiple regression output was generated from a study in which two independent variables are included. The first independent variable (X1) is a quantitative variable measured on a continuous scale. The second variable (X2) is qualitative coded 0 if Yes, 1 if No.Based on this information, which of the following statements is true?If tested at the 0.05 significance level, the overall model would be considered statistically significant.The variable X1 has a slope coefficient that is significantly different from zero if tested at the 0.05 level of significance.The model explains nearly 63 percent of the variation in the dependent variableAll of the above are true.
All of the claims about the multiple regression output are correct. The first independent variable (X1) was a continuous-scale quantitative variable, whereas the second variable (X2) was coded 0 if Yes and 1 if No.
Multiple regression is an effective statistical approach for analyzing the associations between multiple independent variables and a single dependent variable. Multiple regression has numerous uses in the social sciences, and recent research used it to analyze the connection between two independent factors and a single dependent variable.
Finally, the total model is statistically significant, the slope coefficient for variable X1 is considerably different from zero, and the model explains almost 63% of the variance in the dependent variable.
Learn more about multiple regression here:
https://brainly.com/question/29657622
#SPJ4
Answers? I need these asap
If you aren't assigned a topic, you should select a topic that interests you and has available information.
What is an essay?In English literature and language, an essay can be defined as a written composition with specific information on a particular topic, idea, event, subject matter or thing, in order to demonstrate the analytical abilities of a writer or an author.
What is a research topic?In English literature and language, a research topic can be defined as an issue, event, or subject that a researcher is keenly and deeply interested when conducting a study or research.
Generally speaking, it is very important for a writer to choose a topic that interest him or her and has readily available information, rather than unpopular, unfamiliar, and boring topics that weren't assigned.
Read more on essay and topic here: brainly.com/question/21336802
#SPJ1
Complete Question:
If you aren't assigned a topic, you should select a topic that _____ and _____.
(bores you, confuses you, interests you)
(has available information, is unpopular, isn’t well-known)
The diagonal of a tv screen is 26 inches. the base is 18.8 inches wide. how tall is the tv?
the height of the triangle formed by the diagonal and base of the TV screen.
The height of the TV is approximately 15.6 inches.
(26 inches / √2) = 18.8 inches
(18.8 inches * √2) = 26 inches
Height = (26 inches / 18.8 inches) * 18.8 inches
Height = 15.6 inches
Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.
Hypotenuse = diagonal / √2
Hypotenuse = 26 inches / √2
Hypotenuse = 18.8 inches
Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.
Diagonal = hypotenuse * √2
Diagonal = 18.8 inches * √2
Diagonal = 26 inches
Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.
Height = diagonal / base
Height = 26 inches / 18.8 inches
Height = 15.6 inches
Learn more about height here
https://brainly.com/question/10726356
#SPJ4
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
Learn more about calories
brainly.com/question/22374134
#SPJ4
A contruction manager need 12 worker to complete a building project in 54 day. If the building project need to be completed in 36 day how many more worker doe the contruction manager need to complete the project
To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.
If 12 workers can complete a building project in 54 days, to determine this we can divide the rate of work by the number of workers by the number of days: 12 workers / 54 days = 0.2222 workers/day.
If the construction manager wants to complete the project in 36 days, he needs to increase the rate of work to complete the project in that shorter timeframe. To do this, he can add more workers or increase the productivity of the current workers.
To determine how many more workers the manager needs, we can use the formula:
(number of workers) = (rate of work) x (number of days)
By plugging in the desired rate of work and number of days, we get:
(number of workers) = (0.2222 workers/day) x (36 days) = 7.999 workers
To complete the project in 36 days, the construction manager would need to add at least 8 more workers to his current team of 12 workers.
To learn more about the divide, visit:
brainly.com/question/15381501
#SPJ4
Describe qué es un recíproco y da un ejemplo de un número y su recíproco.
Answer:
El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1. ... (Esto es algunas veces llamada la propiedad de los recíprocos .) Ejemplo 1: así el recíproco de 3 es (y el recíproco de es 3.)
Shot Down A cruise missile is traveling straight across the desert at 548 mph at an altitude of 1 mile, as shown in the figure.
A gunner spots the missile coming in his direction and fires a projectile at the missile when the angle of elevation of the missile is 35°. If the speed of the projectile is 688 mph, then for what angle of elevation of the gun will the projectile hit the missile?
The elevation of the gun will the projectile hit the missile will be 62.18°.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Let 't' be the time. And 'θ' be the angle. Then the measure of the angle is given as,
688t / sin 35° = 548 / sin θ
sin θ = 0.4568
θ = 27.18°
The angle from the base is calculated as,
⇒ 27.18° + 35°
⇒ 62.18°
The elevation of the gun will the projectile hit the missile will be 62.18°.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
Given the following quadratic function: f(x)=x
2
−4x+3 a. Find the vertex. b. Write the equation of the axis of symmetry. c. Find the range. a. The vertex is b. The equation for the axis of symmetry is
a. To find the vertex of the quadratic function f(x) = \(x^2 - 4x + 3\), we can use the formula \(x = -b/2a\). In this case, a = 1 and b = -4. Plugging these values into the formula, we get x = \(-(-4)/(2*1) = 4/2 = 2\). Therefore, the vertex is (2, f(2)).
b. The equation of the axis of symmetry is given by x = h, where h is the x-coordinate of the vertex. In this case, h = 2. Therefore, the equation for the axis of symmetry is x = 2.
c. To find the range of the quadratic function, we need to determine the minimum or maximum value of the function. Since the coefficient of the \(x^2\) term is positive, the parabola opens upwards and the vertex represents the minimum point.
Therefore, the range of the function is all real numbers greater than or equal to the y-coordinate of the vertex. In this case, the range is y ≥ f(2). By substituting x = 2 into the function,
we get f(2) = \(2^2 - 4(2) + 3 = 4 - 8 + 3 = -1\). Therefore, the range is y ≥ -1.
Learn more about quadratic function
https://brainly.com/question/18958913
#SPJ11