Answer:
C. -18
Step-by-step explanation:
Scalar Product (Dot Product) of two vectors
[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]
[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]
[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]
Given:
v₁ = (3, -4)v₂ = (2, 6)⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)
⇒ v₁ · v₂ = 6 + (-24)
⇒ v₁ · v₂ = 6 - 24
⇒ v₁ · v₂ = -18
To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? 16 square centimeters 30 square centimeters 56 square centimeters 60 square centimeters
The area covered by the napkin is 56 square centimeters
How to determine the area covered by the napkin?This is calculated using:
[tex]Area = \frac 12 ab\sin(C)[/tex]
Where:
a = 15, b = 5 and C = 30
So, we have:
[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]
Evaluate the product
Area = 56.25
Approximate
Area = 56
Hence, the area covered by the napkin is 56 square centimeters
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Answer: 56
Step-by-step explanation:
that’s c on 2023 edge
(U^3 v^4)^4 * (2u^4 v^2)^2
Simplify
Show all work
I give brainliest ,.
1) apply exponent to the terms inside the bracket - multiply exponents
[tex](u^3v^4)^4\\\\(u^1^2v^1^6)[/tex]
[tex](2u^4v^2)^2\\\\(4u^8v^4)[/tex]
2) multiply the two terms together - add exponents
[tex](u^1^2v^1^6)(4u^8v^4)\\\\4(u^1^2^+^8)(v^1^6^+^4)\\\\4u^2^0v^2^0[/tex]
Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent because p(x) · p(y) = p(x and y). they are independent because p(x) p(y) = p(x and y). they are dependent because p(x) · p(y) = p(x and y). they are dependent because p(x) p(y) = p(x and y).
Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Researching this problem on the internet, the probabilities are given as follows:
[tex]P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}[/tex]
Hence:
[tex]P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)[/tex]
Hence the events are independent and the correct option is given by:
p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).
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Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction
Answer:
9/20
Step-by-step explanation:
i tried and got it wrong. it is 9/20
can someone help me w/t this
Answer:
72 cm²
Step-by-step explanation:
The shaded area is 1/4 of the rectangle, so the unshaded area is 3/4 of the rectangle--3 times the area that is shaded.
__
Unshaded area = 3 × 24 cm² = 72 cm²
The region that is not shaded has an area of 72 cm².
_____
You can mark the midpoint of MR as point S, and draw segment PS. That will divide the rectangle into 4 congruent triangles, one of which is shaded. The congruent triangles all have the same area, so the shaded area is 1/4 of the total area, and the unshaded area is 3 times the shaded area.
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Model each of Mr. Nicholson’s salary options with a recursive sequence that includes his potential earnings for the first three years of employment.
According to the first three terms of each sequence, can you conclude that there is a significant difference in Mr. Nicholson’s potential earnings with each increase option? Use complete sentences to explain your conclusion.
Answer:
B
Step-by-step explanation:
Just read and you will see why i say that
In the shape below, find the value of d, rounded to one decimal place.
Answer: 128.7
Step-by-step explanation:
Can someone help me?
Answer:
D. plain quadrilateral
Step-by-step explanation:
This is a vocabulary question.
__
A parallelogram is a quadrilateral (4-sided plane figure) with both pairs of opposite sides parallel. A rhombus is a special case of a parallelogram in which the sides have equal lengths.
A trapezoid is quadrilateral with exactly one pair of parallel sides. An isosceles trapezoid is one that has equal-length non-parallel sides.
__
The given figure has no parallel sides, so is none of the above. It is a ...
plain quadrilateral
Please help Geometry
Answer:
the answer is x=16
Step-by-step explanation:
trust me bro
solve this system equation
y= 3x
2y+x=14
Step-by-step explanation:
When y = 3x then 2(3x) + x =14
6x + x = 14
7x=14
x=2 in sub eq 1
y=3(2)=6
Can some one help me
Answer:
The side b is 2√6 unit
Step-by-step explanation:
in right triangle ΔABC,∠C=900,a=5,c=7;c is
the side opposite to the right angle, so it is hypotenuse,
aandb are the adjacent sides of the right angle .
We know in right triangle ΔABC,a²+b²=c²
∴5²+b²=7²or
b²=49−25=24
∴√b²=√24
b=√24
b=2√6
. The side b is 2√6 unit [Ans]
AB = 7 cm
CB = 5 cm
AC = 2√6cm
According to Pythagoras Theorem,
AC²=BC²+AB²
(2√6)²=5²+7²
24=25+49
24=74
Hence, it is not a right-angled triangle ABC.
Race drivers must complete 200 laps in the Daytona 500. if Ticky Bobby only completed 57% of the race, how many laps did he complete?
Answer:
114 laps
Step-by-step explanation:
Multiply 200 x 57% :
200 x 57%200 x 57/1002 x 57114 laps(Screenshot included Need answer fast) easy question for experts. Select the graph that matches the equation y = 2 4/7x − 3
Answer: B
Step-by-step explanation:
This equation is in y = mx + b form, also known as slope-intercept form.
First, we will look at the y-intercept. Our y-intercept is -3, so the line will hit the y-axis at -3. This rules options A and C as incorrect.
Next, we will look to the slope. The slope is positive, 2 4/7, so the line will be going "up the stairs" from the bottom left to the top right. This rules out option D as incorrect, leaving us with our answer: B.
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Jayson uses a hose to fill a 45-gallon tank with water in 15 minutes. How many gallons of water does Jayson add to the tank per minute?
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the fish tank? gallons
The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have a fish tank has 240 quarts of water.
Levi adds another, 1201 quarts to the tank.
Total water in the tank = 240 + 120 = 360 quartz
To convert quartz to gallon, divide by 4
Total water in the tank = 360/4 = 90 gallons
Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
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Cuanto es El 15% de1.340 es
Hey there!
15% * 1.340
= 15/100 * 1.340
= 0.15 * 1.340
= .15 * 1.34
= 0.201
Therefore, the answer should be: 0.201
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Other than temperature, state three examples where similar averages are associated with very different distributions. go deeper with one, and discuss how that might work in more detail
The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.
What is average?It should be noted that average simply means the mean of a given set of numbers that are given in a data.
In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams
Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.
Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.
On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.
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Finding a probability a movie complex is showing three action films and three comedy films. you randomly select two
different films to watch. find the probability that you select a comedy to watchsecond given that you randomly selected a
comedy to watch first
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
No of action films = 3
No of comedy films=3
The probability that you select a comedy to watch second given that you randomly selected a comedy to watch first is found as;
[tex]\rm P = \frac{C_3'}{C_6'} \times \frac{C_2'}{C_5'} \\\\\ P=\frac{3}{6} \times \frac{2}{5} \\\\ P=\frac{1}{5}[/tex]
Hence, the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first will be,[tex]\rm \frac{1}{5}[/tex].
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x⁴-12x²+8=0
(find value of x)
We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?
Answer:
20%
Step-by-step explanation:
2:10 = 2/10 = 20/100 = 20%
The quotient of 7 and the difference of a number and 8.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
➪ What is the quotient of 7 and the difference of a number and 8?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
➪ First, the word "quotient" indicates that we divide.
✳︎ Here, we are asked to divide 7 by the difference of a number and 8.
➪ The word "difference" indicates that we subtract.
✳︎ Here, we are asked to subtract a number minus 8.
Let the number be x.
Since the difference of x and 8 means we subtract x minus 8, this expression looks as follows:-
[tex]\texttt{x-8}[/tex]
◈ Now, we are also asked to find the quotient of 7 and the difference of a number and 8, which equals [tex]\bold{x-8}[/tex].
As I said earlier, the "quotient" means we divide, so we divide 7 by [tex]\bold{x-8}[/tex].
So we conclude that the expression is:-
7÷(x-8)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
What happens to warm air when it cools?
A) It sinks back down to Earth.
B) It is absorbed into clouds.
C) It remains in Earth’s upper atmosphere.
D) It breaks apart and disappears.
Answer:
b
Step-by-step explanation:
hj
Answer:Its B,dude
Step-by-step explanation:
What should frankie consider before buying the car? check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Frankie should consider these factors before buying the car including the following:
What are the factors to consider before buying a car?In addition to quality, cost of ownership, payment impact, and reliability, Frankie should consider these factors before buying the car:
b. the cost to maintain (oil, tires, gas, brakes) and insure the car.
d. his short- and long-term financial goals.
e. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
Thus, the most important factors that Frankie should consider before buying the car are listed above.
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Answer:
A, B, D, E
Step-by-step explanation:
-what he will be giving up if he spends $800 on the car
-the cost to maintain (oil, tires, gas, brakes) and insure the car
-his short- and long-term financial goals
-if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
Find the value of x.
Answer:
Step-by-step explanation:
Comment
The general formula for a tangent and secant is
tangent^2 = external segment * full length of the secant.
Givens
tangent length = x
external segment = 7
secant length = 7+ 21
Formula
x^2 = 7 * (7 + 21) Remove brackets
x^2 = 7 * 28 Combine
x^2 = 196 Take the square root of both sides
√x^2 = √196
x = 14
Answer: x = 14
Please help with this problem about circles and tangents. solve for X.
As tangents from a single point to the circle are equal in measure
AC=BCABC is isosceles
<A=60°
We know the radius hits any tangent on right angles
So
<PAC=90°<PAD=90-60=30°Now
cosØ=Base/Hypotenusecos30=6/x√3/2=6/x√3x=12x=12/√3accurate value
x=6.9Answer:
[tex]x=4\sqrt{3}[/tex]
Step-by-step explanation:
If two tangents to a circle meet at one exterior point, the tangent segments are congruent. Therefore, AC = BC
This means that ΔABC is an isosceles triangle and so
∠ABC = ∠BAC = 60°
The tangent of a circle is always perpendicular to the radius.
Therefore, ∠PAC = 90°
With this information, we can calculate ∠PAD:
⇒ ∠PAD + ∠BAC = ∠PAC
⇒ ∠PAD + 60° = 90°
⇒ ∠PAD = 90° - 60°
⇒ ∠PAD = 30°
We now have a side length and an angle of ΔPAD (shown in orange on the attached diagram). So using the cos trig ratio, we can calculate [tex]x[/tex]:
[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Given:
[tex]\theta[/tex] = ∠PAD = 30°A = AD = 6H = AP = [tex]x[/tex][tex]\implies \cos(30^{\circ})=\dfrac{6}{x}[/tex]
[tex]\implies x=\dfrac{6}{\cos(30^{\circ})}[/tex]
[tex]\implies x=\dfrac{6}{\frac{\sqrt{3}}{2}}[/tex]
[tex]\implies x=4\sqrt{3}[/tex]
The two tables give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye.
Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.
Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.
Use the drop-down menus to complete each sentence below.
In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.
What is ratio of two numbers?
The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;
Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.
In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.
Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.
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Verify and show work
csc x - cos x • cot x = sin x
Answer: The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
What's the sequence and drawing scheme of f(x)=x^(1/3)?
Graph the linear equation y=2/3x-5
Answer:
As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.
Given equation:
[tex]y=\dfrac{2}{3}x-5[/tex]
Calculating two points on the line:
[tex]\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)[/tex]
[tex]\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)[/tex]
Plot these points and draw a straight line through them (attached).
The area of a square is 17 square feet which measure is closest to the length of one side of the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
As we know, Area of a square can be represented as :
[tex]\qquad \sf \dashrightarrow \:area = side {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = s {}^{2} [/tex]
now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides
[tex]\qquad \sf \dashrightarrow \:s {}^{2} = 17[/tex]
[tex]\qquad \sf \dashrightarrow \:s = \sqrt{17} [/tex]
[tex]\qquad \sf \dashrightarrow \:s \approx4.12 [/tex]
so, the closest value is : B. 4.1 feet
