Answer:
it is triangle DEF, base on my own understanding
23. Solve using the principles together. Don't forget to check.
7y - (4y - 14) = 23
---Distribute the negative sign into the terms in the parentheses
7y - 4y + 14 = 23
---Combine like terms
3y + 14 = 23
---Subtract 14 from both sides
3y = 9
---Divide both sides by 3
y = 3
Answer: y = 3
Answer Choice: A, 3
Hope this helps!
Answer:
A. The solution is y = 3.
Step-by-step explanation:
Given
7y - (4y - 14) = 23Distribute the value to the terms in parentheses.
7y - (4y - 14) = 237y - 4y + 14 = 23Simplify like terms and subtract 14 from each side.
3y + 14 - 14 = 23 - 143y = 9Divide by 3 on each side.
3y/3 = 9/3y = 3A. The solution is y = 3.
Eric and bianca are drawing a model of a city park in the cordinate
For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
What is a Coordinate system?In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the position of any given points.
Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
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Answer:
Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .
Bianca is correct.
Step-by-step explanation:
Hope this helps.
The number of sweets in a bag are normally distributed with mean 48 and standard deviation 4.
What is the probability that a bag selected at random contains more than 50 sweets? Give your answer as a decimal correct to 3 significant figures.
Answer:
0.33 recurring
Step-by-step explanation:
assuming alol the fractions are equal, find the total number of possibilities and assign one for each number
A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.
Pls help. I need the first and third quartile and the median
Answer:
Step-by-step explanation:
Minimum: 2
Quartile Q1: 4.5
Median: 10
Quartile Q3: 15
Maximum: 19
Find the perimeter and area of the following
16. PM = 26x + 8x^2y
A = 52x^3y
17. Area = 33a^5b
Which set only contains numbers that make the inequality true? x + 19 < 28 {10, 11, 12, 13} {10, 11, 12, 13} {3, 4, 5, 6} {3, 4, 5, 6} {12, 13, 14, 15} {12, 13, 14, 15} {7, 8, 9, 10}
{3, 4, 5, 6}
Step-by-step explanation:Inequalities represent the value of a variable by comparing them to other values.
Inequality Signs
Before answering the question, make sure you understand the different inequality signs.
< - This sign represents less than. This means that the value on the left is less than the value on the right.> - This sign represents greater than. This means that the value on the left is greater than the value on the right.< - This sign means less than or equal to. So, the value on the left will be less than or the same as the value on the right.> - This sign means greater than or equal to. So, the value on the left will be greater than or the same as the value on the right.Solving the Inequality
To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.
To do this subtract 19 from both sidesx < 9Finding the Set
Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.
!!100!! POINTS PLEASE HELP
Answer:
[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]
Build a proportional equation:
[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]
[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]
[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]
[tex]\rightarrow \sf 100 = 6x+60[/tex]
[tex]\rightarrow \sf 40= 6x[/tex]
[tex]\rightarrow \sf x = 40/6[/tex]
[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]
[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
1. Create a porportianal equation. ab/ad=bc/de
2. plug in the variables for each line segment. 10/x+10=6/10
3. multiply each side by x + 10. (6x+60)/10=10
4. Multiply each side by 10. 6x+60=100
5. simplify. 6x=40 3x=20
6. divide each side by 3. x=20/3
(Sorry about my last answer)
tony wants to rent a bike. bike rentals cost $7.50 for a half hour. if tony rents a kayak for two hours and 30 minutes, how much will it cost him?
37.50
Step-by-step explanation:
You start at (8, 0). You move right 2 units. Where do you end?
Answer:
(10,0)
Step-by-step explanation:
Moving right 2 units will increase the x value by 2 since you are going further 'down the corridor'. Hope this helps.
Helpppppppppppppppppppp
Answer:
See below ~
Step-by-step explanation:
Q1
y = (x + 3i)(x - 7)y = x² + 3ix - 7x - 21y = x² + (3i - 7)x - 21Q2
y = (x - √5)(x - i)y = x² - √5x - ix + √5iy = x² - (√5 + i)x + √5iWhich sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 times a number is at least 8. the sum of 2.1 and –1.2 times a number is no more than 8. the sum of 2.1 and –1.2 times a number is a maximum of 8. the sum of 2.1 and –1.2 times a number is greater than or equal to 8. the sum of 2.1 and –1.2 times a number is a minimum of 8.
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
Inequality functionsInequality are expressions not separated by an equal sign, Given the inequality;
2.1 + (-1.2x) ≥ 8
The sign ≥ means greater than or equal to
The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
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Answer:
The 1st, 4th, and 5th
Step-by-step explanation:
Which equation implies that a and b are independent events? a. b. c. d. e.
Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If A and B are independent events, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Then, at the conditional formula:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
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Answer:
P(B/A)=(A)
Step-by-step explanation:
trust me
Dog in a Ditch
Oscar and Rasheed are identical twins. They are both 6 feet tall. They are on opposite sides of
a ditch that is 30 feet wide. Their dog, Earl, is at the bottom of the ditch and is walking away
from Oscar towards Rasheed. Earl can get out if he wants to. When Oscar looks at Earl, his line
of sight makes a 75° angle below the horizontal. When Rasheed looks at Earl, his line of sight
makes a 40° angle below horizontal. Earl has walked % of the way across the ditch. How deep
is the ditch?
The ditch is 14.54 feet deep.
What is application of Trigonometry?Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.
As, both brother have height of 6 feet.
We will use the concept of application of trigonometry to find the depth of ditch.
The explanation is attached below
Now, by solving both equations we get
0.8391y= (2+√3)(30-y)
4.5711y=111.96
y= 24.49 feet.
Now,
x= 14.54 feet.
Hence, the depth of ditch is 14.54 feet.
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a juggler needs both rings and bowling pins no more than 12 of these no less than 5 rings
let x represent the rings and y the pins
The inequality that represent this scenario is x + y ≤ 12 and y > 5
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the rings and y represent the pin
There were no more than 12 of these, hence:
x + y ≤ 12
and
y > 5
The inequality that represent this scenario is x + y ≤ 12 and y > 5
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Answer:
there right i took the test
Step-by-step explanation:
cant add more because they covered it all
Using half angle identities, find an EXACT expression for sin(7π/12).
Answer:
±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]
Step-by-step explanation:
We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] = ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].
Hope this helped! :)
which expression has a value of 2/3?
(8+24) (12 × 4)
824 12 x 4
8+ (2412) × 4
8+24 (12 x 4)
Answer:
(8 + 24) ÷ (12 x 4) = 2/3
Step-by-step explanation:
To Find: an expression that has a value of 2/3
Solution :
A. [8 + (24 ÷ 12)] x 4
= [8 + (2)] x 4
= 10 x 4
= 40
B. (8 + 24) ÷ (12 x 4)
= 32 ÷ 48
= 2 ÷ 3
= 2/3
C. 8 + (24 ÷ 12) x 4
= 8 + 2 x 4
= 8 + 8
= 16
D. 8 + 24 ÷ 12 x 4
8 + 2 x 4
= 8 + 8
= 16
The correct option is :
(8 + 24) ÷ (12 x 4) = 2/3
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. how long is the dart in the air? round to the nearest tenth. 0.7 seconds 0.8 seconds 1.5 seconds 1.6 seconds
Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.
What amount of time did the dart spend in the air?This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.
Plugging in the given values above, we find that the yard dart spent a total of:
= 1.6 seconds in the air
In conclusion, option D is correct.
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The government conducted a study and collected the given data. use the
data to answer the following questions.
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
find the quadratic regression model that represents the relationship
between speed and fuel. round your answer to two decimal places
The quadratic regression equation is y = -0.02x^2 + 2x - 6
How to determine the quadratic regression?The table of values is given as:
speed (mph) 45 55 65 75
fuel (mpg) 43 45 38 32
Next, we determine the regression equation using a graphing calculator (see attachment)
From the graphing calculator, we have:
a = -0.02, b = 2 and c = -6
A quadratic regression is represented as:
y = ax^2 +bx + c
So, we have:
y = -0.02x^2 + 2x - 6
Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6
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I need help on this question
Step-by-step explanation:
FIFO means "first in - first out". so, it is airways the oldest in the inventory that is sold. that means the newest or youngest items in the inventory remain.
the end inventory shows 70 units.
that means, all the November units (64) plus 6 of June are still there.
a.
the cost of the ending inventory is
576 + 6×8 = 576 + 48 = $624
b.
the cost of goods sold is then
1727 - 624 = $1,103
control :
196 + 483 + (59-6)×8 = 679 + 53×8 = 679 + 424 =
= $1,103
correct.
does someone know this answer
A cube has a side length of 6 cm. The cube is reduced by a scale factor of 1/3. Find the volume of the reduced cube. 2 cm3 4 cm3 6 cm3 8 cm3
Answer:
8 cm
Step-by-step explanation:
because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm
Answer:
8cm
Step-by-step explanation:
step1: 6/3=2
volume of a cube =x*x*
v
:=8cm
v=2×2×2
vvv v
Find the area and the area of the figure.
Answer:
352
Step-by-step explanation:
sssplit the shapes and then do regular formula
a = lh
If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS
Answer:
$4,680
Step-by-step explanation:
Rate : 10 dollars a week
Per year : 10 x 52 = $5209 x 520 = $4,680You will have saved up $4,680 in 9 years.
9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.
Answer:
One similar triangle: 15, 36 and 39
Another similar triangle: 10, 24, 26
Step-by-step explanation:
When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.
Scale factorA scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.
The original sides from the question are 5, 12 and 13.
First similar triangleLet's pick 3 to be a scale factor.
Multiply every original side by the scale factor to get the side lengths of a similar triangle.
5 × 3 = 15
12 × 3 = 36
13 × 3 = 39
∴ One similar triangle can have the sides 15, 36 and 39.
Second similar triangleLet's pick another scale factor: 2
Now, we do the same. Multiply the original sides by the scale factor.
5 × 2 = 10
12 × 2 = 24
13 × 2 = 26
∴ Another similar triangle can have the sides 10, 24 and 26.
Choosing a scale factorWe can pick almost any number to be a scale factor. If we pick a scale factor that is:
greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.We can make an infinite amount of other similar triangles just by changing the scale factor.
A spinner is divided into 15 identical sectors and labeled 1 through 15.
How many spins are expected for a multiple of 4 to be spun 30 times?
Select from the drop-down menu to correctly complete the sentence
The spinner is expected to have to spin approximately Choose times for a multiple of 4 to be spun 30 times.
A. 113
B. 120
C. 150
D. 225
Which is greater: 10 centimeters or 103 millimeters? How much greater?
PLEASE HELP
Answer:
Step-by-step explanation:
103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more
if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
Building a Storage Container
You are being asked to design an enclosed water storage container. You are given a budget of
$100 to build the container. It has been determined that the best material to make the container
costs $10 per m². (In other words your surface can not cost more than $100.) What is the
largest amount of water your container can hold? You will need to explain to your boss the
reasoning because they have a business degree and do not really remember any of their
geometry work from school.
Answer:
2973.5 liters
Step-by-step explanation:
You are being asked to find the volume of the largest possible container that has a given surface area. The volume will depend on the shape. If shape is not specified, we know a sphere has the largest volume for a given area.
__
areaThe available area is ...
($100) / ($10/m²) = 10 m²
diameterThe area of a sphere with diameter d is ...
A = πd²
Then the diameter for the given area is ...
10 m² = πd²
(10/π) m² = d² . . . . . divide by π
√(10 m²/π) = d ≈ 1.78412 m . . . . . . diameter of the largest sphere
volumeThe volume of a sphere is given by ...
V = 4/3πr³ = (π/6)d³
For the diameter found above, the volume of the sphere will be ...
V = (π/6)(1.78412 m)³ ≈ 2.97354 m³
There are 1000 liters in a cubic meter, so the largest amount of water that can be contained is ...
2.97354 m³ × (1000 L/m³) = 2973.54 L
The largest amount of water the container can hold is about 2973.5 liters.
4. explain why cos (-3pi/4) = cos (5pi/4)
Step-by-step explanation:
Rearrange the equations to solve.
cos(-3 • pi) = -1
cos((-3pi) / 4 radians) = -0.707
cos(5 • pi) = -1
cos((5pi) / 4 radians) = -0.707
They are the same because when multiplied, they are the same value, and always will be that way. They also have the same identity if you simplify and compare the results of that equation.
The value of cos (-3π/4) and the value of cos (5π/4) are same.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
We know that,
cos (-3π/4) = cos (3π/4)
Now,
cos (3π/4) = cos (π + π/4)
And,
cos (5π/4) = cos (π - π/4)
Now, we know that,
cos (π + x) = -cos (x) and cos (π - x) = -cos (x)
So the value of cos (π + π/4) = -cos( π/4) and cos (π - π/4) = -cos( π/4)
Hence cos (3π/4) = cos (5π/4) = -cos( π/4)
Hence both the values are same.
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