Answer:
4
Step-by-step explanation:
multiply 10 by w and 3
equation becomes 10w+30=70
subtract 30 by both sides
equation becomes 10w=40
divide both sides by 10
equation becomes w=4
your answer is 4!
The triangle above has the following measures.
s = 29 m
r= 63 m
Find the m/Q.
Round to the nearest tenth and include correct units.
Show all your work.
The value of m∠Q as shown in the right-angled triangle below is 62.59°.
The Formula used is:
m∠Q = cos⁻¹(s/r)........................ (1)
Where:
s = 29 m
r = 63 m
Now, Substitute these values into equation 1
m∠Q = cos⁻¹(29/63)
m∠Q = cos⁻¹(0.46)
m∠Q = 62.59°
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Please help me please how the work 20 points
Find all missing zeros
1
1-
1-
_________________________________________________________
Can you help me pls!
Answer:
x=4
34
=23.3,yes they are pythagorean triple
distance between the points (-4,-2) and (6,-2)
Answer:
Distance is 10 units.
Step-by-step explanation:
Use distance formula to find the distance.
If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?
Answer:
The answer is 30
Step-by-step explanation:
First you have to find 120% of a (12).
\( \frac{12}{1} \times \frac{120}{100} = 14.4\)
Therefore; 14.4 is 80% of b, and we are trying to find 100% of b
\(14.4 = 80\% \\ x = 100\%\)
we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.
\(14.4 \times 100\% = 80\% \times x\)
This is the same as saying;
\(14.4 \times 1 = x \times \frac{4}{5} \)
100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).
so the new equation is: 14.4= 4/5x
We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30
A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
A car insurance firm selected 60 cars at random to check if they were covered by insurance on 4 different days. The table below shows the number of cars that did not have insurance on each day.
Day Cars Without Insurance
6
8
10
8
What would be a reasonable estimate for the number of cars that do not have insurance from a random sample of 180 cars?
OA. 28
OB. 30
C. 18
4
x/3
The estimated number of cars without insurance from a sample of 180 cars is 18.
What is insurance?Insurance is a form of risk management that protects individuals and businesses from financial losses due to unexpected events such as accidents, theft, or natural disasters. It provides a safety net to individuals and businesses by compensating them for losses or damages that are covered by a policy. Types of insurance include life, health, auto, property, liability, and business insurance. Insurance also helps businesses to minimize their risk by transferring the risks to insurance companies, which then pay for any covered losses.
We can calculate the estimated number of cars without insurance from a sample of 180 cars by taking the average of the four days and multiplying it by 3, since there are three times as many cars in the larger sample as in the smaller sample.
Therefore, the estimated number of cars without insurance from a sample of 180 cars is (6+8+10+8)/4 x 3
= 18.
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Contains the points (5, 3) and (8, 12); slope-intercept form
Answer:
y = 3x + 12
Step-by-step explanation:
y = mx + b
The m is the slope and the b is the y intercept.
Slope:
Change in y over the change in x. The ordered pair is written in the form (x,y)
\(\frac{12-3}{8-5}\) = \(\frac{9}{3}\) = 3
The slope is 3.
Use the slope of the 3 and the x and y from one of the ordered pairs given. I am going to use the point (5,3), but either point will work
slope 3
x = 5
y=3 Plug these all in and solve for b
y = mx + b
3 = (3)5 + b
3 = 15 + b Subtract 15 from both sides
-12 = b
This is the y intercept
y = 3x - 12
Answer:
Slope-intercept form,
→ y = 3x - 12
Step-by-step explanation:
Formula we use,
→ y = mx + b
The value of slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 3)/(8 - 5)
→ m = 9/3
→ [ m = 3 ]
Then the value of b will be,
→ y = mx + b
→ 12 = (3)8 + b
→ b + 24 = 12
→ b = 12 - 24
→ [ b = -12 ]
Now the slope-intercept form is,
→ y = mx + b
→ [ y = 3x - 12 ]
Hence, the answer is y = 3x - 12.
how far away from the sun (in miles) is proxima centauri? can you show the work? mi
The required Proxima Centauri is approximately 24.9 trillion miles away from the Sun.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a mile, for liquid we have liters, and so on.
Proxima Centauri is a star located in the Alpha Centauri star system and is approximately 4.24 light years away from the Sun.
To convert light years to miles, we can use the conversion factor of approximately 5.88 trillion miles per light year. So, the distance of Proxima Centauri from the Sun in miles can be calculated as:
= 4.24 light-years × 5.88 trillion miles/light year
= 24.9 trillion miles
Thus, Proxima Centauri is approximately 24.9 trillion miles away from the Sun.
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I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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The amount y (inThe cups) of flour is proportional to the number x of eggs in a recipe.The recipe calls for 5 cups of flour for every 3 eggs.Interpret the slope
The amount y (inThe cups) of flour is proportional to the number x of eggs in a recipe.The recipe calls for 5 cups of flour for every 3 eggs.Interpret the slope
we have
y -----> cups of flour
x ----> number of eggs
so
slope=y/x
slope=5/3 cups of flour per egg
therefore
slope means 5/3 cups of flour per eggIn this problem the slope is equal to the unit rate
to find out the slope divide the total cups of flour by the total number of eggs
so
we have
5/3=1.67
that means
1.67 cups of flour per one eggor 5/3 cups of flour per one eggAccording to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless, with corresponding probabilities of , , , and . In a multinomial experiment, if plants are selected, find the probability that will be tall and colorful, will be tall and colorless, will be short and colorful, and will be short and colorless.
please anyone with answer of the question
Solve the following systems of linear equations below by elimination or by substitution method. y = 4/3 x - 9
y = x + 3
Answer:
x=33 and y=36
Step-by-step explanation:
You can rewrite the equation into
x+2=4/3x-9
Now you can subtract 2 on both sides
x=4/3x-11
Now subtract 4/3x on both sides:
-1/3x=-11
Multiply -3 on both sides:
x=33
Now substitute x with 33
y=33+3
y=36
Thus x=33 and y=36
Hope this helps!
Suppose that the demand of a certain item is x=-0.7p+10.
Evaluate the elasticity at 6.
The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.
What is the item's demand if elasticity is at 6?The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)
The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.
Let say Initial quantity demanded is:
x = -0.7(6) + 10
x = 5.8
Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:
= -0.7(6.01) + 10
= 5.793
The % change in quantity demanded will be:
= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%
= [(5.793 - 5.8) / 5.8] x 100%
= -0.12%
As price has changed from 6 to 6.01, we can calculate the percentage change as follows:
% change in price = [(new price - initial price) / initial price] x 100%
= [(6.01 - 6) / 6] x 100%
= 0.17%
Elasticity of demand = (% change in quantity demanded) / (% change in price)
= (-0.12% / 0.17%)
= -0.71
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Write 50.001 in word form
Question 7: 10 pts
For Thursday's English class, 4 students are assigned to give presentations. How many different ways can the
teacher order the student presentations?
4 ways
16 ways
24 ways
7 ways
The teacher ordered the students in 24 ways.
We have given that the total number of students is 4.
4 students are assigned to give presentations.
We have to find the arrangement of the 4 students.
What is the arrangement?
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects n is important.
4 students can be arranged by 4! ways.
\(4!=4*3*2*1\\ =12*2\\=24\)
Therefore option 3 is correct.
The teacher ordered the students in 24 ways.
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a shirt is on sale for 20% off the original price. if the original price is 25.00, what will be the sale price of the shirt
Answer:
$20 is the sale price
Step-by-step explanation:
20% of $25 is (0.2*25)=$5
$25 -$5 = $20
99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
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What is 98 in exponential form
We can express the number 98 in exponential form as 10 raised to the power of 2. This means that by multiplying the base, which is 10, by itself twice, we obtain the value of 98.
To express 98 in exponential form, we need to determine the base and exponent that can represent the number 98.
Exponential form represents a number as a base raised to an exponent. Let's find the base and exponent for 98:
We can express 98 as 10 raised to a certain power since the base 10 is commonly used in exponential notation.
To find the exponent, we need to determine how many times we can divide 98 by 10 until we reach 1. This will give us the power to which 10 needs to be raised.
98 ÷ 10 = 9.8
Since 9.8 is still greater than 1, we need to continue dividing by 10.
9.8 ÷ 10 = 0.98
Now, we have reached a value less than 1, so we stop dividing.
From these calculations, we can see that 98 can be expressed as 10 raised to the power of 1 plus the number of times we divided by 10:
98 =\(10^1\) + 2
Therefore, we can write 98 in exponential form as:
98 = \(10^3\)
In summary, 98 can be expressed in exponential form as 10^2. The base is 10, and the exponent is 2, indicating that we multiply 10 by itself two times to obtain 98.
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27. Two sisters are 7 years apart in age. The product of their ages is 260 years. What is the age of the older sister.
a. 14 years
b. 21 years
C. 13 years
d. 20 years.
Prove the following statement: If the x- and y-intercepts of a line are identical nonzero numbers, the line must have a slope of -1.
What is the x-intercept you are using?
What is the y-intercept you are using?
Show what you did to prove the slope is -1
Answer:
Step-by-step explanation:
Proof:
If:
x intercept is at a number nonzero "a"
so the point where it intersects the x-axis is at (a,0)
y-intercept is at the same nonzeronumber "a"
so the point where it intersects the y-axis is at (0,a)
Then:
slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1
x intercept is 2 (for example)
so the point where it intersects the x-axis is at (2,0)
y-intercept is 2
so the point where it intersects the y-axis is at (0,2)
slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1
3,532.5 = (3.14)(r^2)(x/3)
To solve the equation 3,532.5 = (3.14)(r^2)(x/3) for the variable r, we can follow these steps:
Multiply both sides of the equation by 3/3 to eliminate the fraction:
3,532.5 * 3/3 = (3.14)(r^2)(x/3) * 3/3
This simplifies to:
10,597.5 = (3.14)(r^2)(x)
Divide both sides of the equation by (3.14)(x) to isolate the variable r:
10,597.5 / (3.14)(x) = (r^2)
Take the square root of both sides of the equation to solve for r:
r = sqrt(10,597.5 / (3.14)(x))
Therefore, the solution to the equation 3,532.5 = (3.14)(r^2)(x/3) for the variable r is:
r = sqrt(10,597.5 / (3.14)(x))
A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?
Answer:
48 pieces are cut.
Step-by-step explanation:
1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.
I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
The skeletal system is not responsible for which of the following?
Answer now
D. moving red blood cells around the body
find the missing side of problems 1,2,5,6,7,10 and 11 . you can try others using sine and cosine from notes
The missing side of problems using sine and cosine is 9.
How do you determine a cosine rule's side?The formula for calculating the triangle's side is: c = [a2 + b2 - 2ab cos C] where the triangle's sides are a, b, and c.
According to the Cosine Rule, the square of any side of a given triangle is equal to the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them. Law of cosines and Cosine Formula are other names for the cosine rule.
a2 = b2 + c2 – 2bc cos ∠x
b2 = a2 + c2 – 2ac cos ∠y
c2 = a2 + b2 – 2ab cos ∠z
6^2 + 7^2 = X
x = 9^2
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Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
se va a desarrollar un torneo de ajedrez entre 10 grandes maestros en un sistema round robin ( todos contra todos) .Calcula la cantidad de juegos esperados durante el torneo
We can expect a total of 45 games during the tournament.
What is round robin scheduling?
Round robin scheduling is a way of sharing CPU time among processes in a fair and cyclic manner.
In a round-robin tournament, each player must play against every other player exactly once. So, if we have n players, then each player will play (n-1) games.
In this case, we have 10 grandmasters, so each one will play 9 games. However, we have to be careful not to count each game twice (i.e., once for each player). So, the total number of games in the tournament is:
10 players × 9 games each ÷ 2 = 45 games
Therefore, we can expect a total of 45 games during the tournament.
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The correct question is:
A chess tournament will be developed between 10 grandmasters in a round robin system. Calculate the number of games expected during the tournament.
Rewrite the following statement as an equation.
The sum of a number squared and three less than twice the number is 129.