Answer:
Option (B) 4 = 2x - 3
Step-by-step explanation:
Let distance travel by Marcus be "x" miles
Then, according to question
Distanced travelled by Jenney will be
twice of "x" minus 3.
Distance travelled by Jenny = 2x - 3.
Also, it is given that Jenny has travelled 4 miles.
then, 4 = 2x - 3. So, here option (B) is the correct option.
Answer:
B
Step-by-step explanation:
Sally can complete a sales route by herself in 7 hours. James can do the same job in 9 hours. How long will it take them to do it working together?
Answer:
(4 days) is the homogeneous mixture
Identify the type of transformation in the following graphic and describe the change.
Answer:
Translation, five units to the left.
Step-by-step explanation:
Point A is moved to the left to become A'.
Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.
This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).
Each point has moved five units to the left.
Step-by-step explanation:
Please mark brainliest and have a great day!
The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The graph is given below.
The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.
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if π/2 π and sin A = 4/5 , then tan A/2 =??
Answer: 2
Step-by-step explanation:
[tex]\text{If the angle is in Quadrant II and sin A }=\dfrac{4}{5}, \text{then cos A }=-\dfrac{3}{5}.\\use\ Pythagorean\ Theorem: x^2+4^2=5^2\implies x=3,\quad cos =\dfrac{x}{h}\\\\\\tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-cosA}{sinA}\\\\\\.\qquad \qquad =\dfrac{1-(-\dfrac{3}{5})}{\dfrac{4}{5}}\\\\\\.\qquad \qquad =\dfrac{\dfrac{8}{5}}{\dfrac{4}{5}}\implies \dfrac{8}{5}\div\dfrac{4}{5}\implies \dfrac{8}{5}\times\dfrac{5}{4}=\dfrac{8}{4}=\large\boxed{2}[/tex]
Find the median:
3, 5, 7, 4, 3, 1
=========================================
Explanation:
Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}
After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into
{1, 3, 3} and {4, 5, 7}
we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.
Hello There!
Let’s first remember that the median is the middle number in an ordered set of data.
Our data set is
1,3,3,4,5,7
Since there are two numbers in the middle, we have to add up our two numbers in the middle which are 4 and 3 so together that gives us a sum of 7 and then we divide by 2 which we get a quotient of 3.5.
One method of indirect measurement involves setting up a right triangle and measuring one of the
obligue angles
depression angles
elevation angles
acute angles
Answer:
Acute angles.Step-by-step explanation:
This is called the shadow method to make an indirect measurement of an specific highness. For example, indirect measurement to calculate a building highness.
The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?
Answer:
Reflection against the y-axis
Step-by-step explanation:
The function f(x)=2x^2+3x+5, when evaluated, gives a value of 19. What is the functions input value?
For this case we have a function of the form [tex]y = f (x).[/tex]
Where:
[tex]f (x) = 2x ^ 2 + 3x + 5[/tex]
They tell us that the function has a value of 19, and we want to know the values of the input, that is:
[tex]2x ^ 2 + 3x + 5 = 19\\2x ^ 2 + 3x + 5-19 = 0\\2x ^ 2 + 3x-14 = 0[/tex]
We apply the formula of the resolvent:
[tex]a = 2\\b = 3\\c = -14[/tex]
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-3 \pm \sqrt {3 ^ 2-4 (2) (- 14)}} {2 (2)}\\x = \frac {-3 \pm \sqrt {9 + 112}} {4}\\x = \frac {-3 \pm \sqrt {121}} {4}\\x = \frac {-3 \pm11} {4}[/tex]
We have two roots:
[tex]x_ {1} = \frac {-3 + 11} {4} = \frac {8} {4} = 2\\x_ {2} = \frac {-3-11} {4} = \frac {-14} {4} = - \frac {7} {2}[/tex]
Answer:
The inputs of the function [tex]y = 19[/tex]are:
[tex]x_ {1} = 2\\x_ {2} = - \frac {7} {2}[/tex]
Multiply.
(x-6)(4x + 3)
Answer:
Fully simplified it equals 4x^2 -21x -18
Explanation:
-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18
-You combine like terms to simplify and your answer is 4x^2 -21x -18
Answer: 4x² -21x -18
Step-by-step explanation: a p e x
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
Among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.
The statement that is true of the domain
Given:
h(8) = 19
h(-2) = 2
Domain: -3 ≤ x ≤ 11
Range: 1 ≤ h(x) ≤ 25
A. h(2) = 16 - This value doesn't conflict with the range (1 ≤ h(x) ≤ 25) and fits within the given function's range and domain. It's a possible value for h(2) based on the constraints given.
B. h(8) = 21 - This contradicts the information provided (h(8) = 19).
C. f(13) = 18 - This option refers to a value outside the domain specified for h(x).
D. h(-3) = -1 - This value is outside the range provided for h(x) as the range starts from 1.
So, among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.
Given that a function, h, has a domain of -3≤ x≤ 11 and a range of 1≤ h(x)≤ 25 and that h(8)=19 and h(-2)=2 , select the statement that could be true for h. A h(2)=16 B. h(8)=21 C. f(13)=18 D. h(-3)=-1
How many solutions are in 7( x+2)=7x-10
7(x + 2) = 7x - 10
7x + 14 = 7x - 10
let's recall the slope-intercept form, now, both equations on each side of the equals sign have the same slope, of 7, that is a flag that both equations are parallel.
their y-intercept is 14 and -10 respectively, however that just means that one is above the other, but since they're parallel they will never touch each other and any solutions is where the graphs intersect, and for parallel lines that never happens, thus no solutions.
If you travel 1000 feet in 5 minutes, what is your speed per minutes
Answer:
So starting with:
1000 ft / 5 min
we need to convert minutes into seconds, then divide the above value into it to get knots (follow the labels so they cancel out)
1000 ft / 5 min (1/60 min/sec) (1 kt / 1.68780986 ft/sec)
1.974946 kt
Step-by-step explanation:
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The speed is the distance covered by an object at a particular time. Your speed is 200 feet per minute.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given that you travel 1000 feet in 5 minutes. Therefore, your speed is,
Speed = 1000 feet / 5 minutes
Speed = 200 feet per minute
Hence, your speed is 200 feet per minute.
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Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a minimum of 36 plants in his garden. Flowering plants sell for $8, and nonflowering plants sell for $5. Joey wants to purchase a combination of plants that minimizes cost. Let x represent the number of flowering plants and y represent the number of nonflowering plants.
Answer:
Step-by-step explanation:
Set up two equations:
2y >/=x
X+y=36
Solve by substituting x for 2y.
This is using the method of substitution.
Evaluate each expression if a=2, b=3 and c=4
A.) 2a+4b-c
B.) 6(a+c)-b
Answer:
Step-by-step explanation:
A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:
2(2) + 4(3) - (4) = 4 + 12 - 4 = 12
B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.
The work inside parentheses should be done first, resulting in 6(6) - 3.
This comes out to 33.
The perimeter of a square is 56 cm. What is the approximate length of its diagonal?
10.6 cm
14.0 cm
15.0 cm
19.8 cm
The approximate length of its diagonal is:
19.8 cm
Step-by-step explanation:We know that for any square with a side length of s units.
The diagonal of a square has length: [tex]\sqrt{2}s\ units[/tex]
Also, the perimeter of a square is the sum of all the side lengths of a square.
i.e.
[tex]Perimeter=4s[/tex]
Here we are given:
Perimeter of square= 56 cm.
i.e.
[tex]4s=56\\\\i.e.\\\\s=\dfrac{56}{4}\\\\i.e.\\\\s=14\ cm[/tex]
Hence, the diagonal of the square has length:
[tex]Diagonal=14\sqrt{2}\ units\\\\i.e.\\\\Diagonal=14\times 1.414\\\\i.e.\\\\Diagonal=19.796\ cm[/tex]
which is approximately equal to: 19.8 cm
Answer:
d.) on edg.
Step-by-step explanation:
just did it
good luck!
What is the sum of the measures of the exterior angles of this triangle? Picture attached
Answer:
The sum of the exterior angles is 360 degrees.
UNUL ESCREView
Acuve
Planes s and Rboth intersect plane T.
Which statements are true based on the diagram? Check
all that apply.
O Planes contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane s at point C
O Planes Rand Tintersect at line y.
Which of the following are geometric sequences
(check all that apply)
A.) 1, 1, 2, 3, 5, 8, 13
B.) 10,5, 2.5, 1.25, 0.625, 0.3125
C.) -9, -3, -1, -1/3, -1/9, -1/27
D.) 5, 10, 15, 20, 25
Answer:
B and C are geometric sequences.
Step-by-step explanation:
A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
A is not a geometric sequence because the number 1 is repeated twice in the sequence.
B is a sequence because the sequence is being multiplied by 0.5 each time.
C is a geometric sequence because it is being multiplied by 1/3 each time.
D is not a geometric sequence because it is not being multiplied each time - it is increasing by +5 (arithmetic progression - not geometric).
Hope this helps!
The following are geometric sequences
1. 10,5, 2.5, 1.25, 0.625, 0.3125
2. -9, -3, -1, -1/3, -1/9, -1/27
The correct option is (B) & (C)
What is Geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
1. A is not a geometric sequence because the '1' is repeated two times in the sequence.
2. B is a geometric sequence because the sequence is being multiplied by 0.5 each time.
5/10=0.5
2.5/5=0.5
1.25/2.5=0.5
0.625/1.25=0.5
3. C is a geometric sequence because it is being multiplied by 1/3 each time.
-3/-9=1/3
-1/-3=1/3
-1/3/-1= 1/3
-1/9/-1/3= 1/3
4. D is not a geometric sequence because the multiplicative factor is not same.
Hence, 10,5, 2.5, 1.25, 0.625, 0.3125 and -9, -3, -1, -1/3, -1/9, -1/27 is geometric sequence.
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What is the surface area of the sphere below?
Answer:
A) 64π units
Step-by-step explanation:
SA= 4πr squared
4*π*4 squared
4 squared = 16
16*4=64
64π
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
Here we are given that the radius of the sphere is given as
[tex]SA=4\pi\cdotr^{2}[/tex]
here we are given that the radius of the sphere r=4 . Hence in order to find the Surface Area of the sphere we substitute the value of r in the formula...
[tex]SA=4\pi\cdot4^{2}[/tex]
[tex]SA=4\pi\cdot16[/tex]
[tex]SA=64\pi[/tex]
Hence the surface area of the sphere is [tex]64\pi unit square[/tex]
How do I solve this ?
Answer:
J 36
Step-by-step explanation:
AB = 9, BC = 12, and m∠B = 90°. Since this is a right triangle, we can use Pythagorean theorem to find AC.
c² = a² + b²
c² = 9² + 12²
c = 15
So the perimeter is:
P = 9 + 12 + 15
P = 36
Which property is shown?
Answer:where is the question for the property
Step-by-step explanation:
How many 2/3 ounces portions each of saffron can Lily get from the 4 2/3 ounces of saffron she bought at the Union Market?
Answer:
7
Step-by-step explanation:
4[tex]\frac{2}{3}[/tex] can be written as [tex]\frac{14}{3}[/tex]
number of [tex]\frac{2}{3}[/tex] portions = [tex]\frac{14}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
= [tex]\frac{14}{3}[/tex] x [tex]\frac{3}{2}[/tex]
= [tex]\frac{14}{2}[/tex] = 7
Lily can get 7 portions of 2/3 ounces each from the 4 2/3 ounces of saffron she bought at the Union Market.
Explanation:To calculate the number of 2/3 ounce portions that Lily can get from the 4 2/3 ounces of saffron she bought, we need to divide the total weight of saffron by the weight per portion. We can convert 4 2/3 to an improper fraction, which becomes 14/3. Next, we divide 14/3 by 2/3 to get the number of portions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second. So, 14/3 ÷ 2/3 = 14/3 * 3/2 = (14 * 3) / (3 * 2) = 42/6 = 7 portions.
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I need help please!
Answer:
0.0466
Step-by-step explanation:
For a random variable X which follows a binomial distribution:
[tex]n = 7\\p = 0.35[/tex]
Thus,
[tex]P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466[/tex]
Does the data set display exponential behavior?
X 1234
Y1234
Yes or no
Yes. Any number has exponent 1 we just don't write it. Take for example number 4.
[tex]4\Longleftrightarrow4^{1}[/tex]
Which means every number has exponential behaviour.
The answer is Yes.
Hope this helps.
r3t40
Find AB using the given matrices.
The entry in row 1, column 1 of [tex]\mathbf{AB}[/tex] is
[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}5\\6\end{bmatrix}=2\cdot5+4\cdot6=34[/tex]
(i.e. the dot product of row 1 of [tex]\mathbf A[/tex] and column 1 of [tex]\mathbf B[/tex])
The entry in row 1, column 2 of [tex]\mathbf{AB}[/tex] is
[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}-9\\-4\end{bmatrix}=2\cdot(-9)+4\cdot(-4)=-34[/tex]
The second option is the correct answer.
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q - [R + S] - T.
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
10m - 7n - 14
Answer:
Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The value of Q = 7m + 3n
- The value of R = 11 - 2m
- The value of S = n + 5
- The value of T = -m - 3n + 8
* To simplify Q - [R + S ] - T substitute the value of each letter in
the expression
- Lets find R + S
∵ R = 11 - 2m
∵ S = n + 5
∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term
∴ R + S = 16 - 2m + n
∵ Q = 7m + 3n
∵ T = -m - 3n + 8
- Lets simplify the rest of the expression
- Remember (-)(-) = + and (-)(+) = -
∵ Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)
∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms
∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)
∴ Q - [R + S] - T = 10m + 5n - 24
Answer:
10m + 5n - 24
Step-by-step explanation:
Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model a sample of 2700 bacteria selected from this population reach the size of 2976 bacteria in 2 hours find hourly growth rate parameter
Which is equivalent?
Answer:
the answer is -8
Step-by-step explanation:
1/x - 1/x-2 = 3 where x not equal to 0 and x not equal to 2
(Chapter 3 quadratic equation class 10)
Answer: The answer is no solution, since any number plugged into that equation wouldn't work out, because 1/x - 1/x cancels out itself, so therefore there is NO SOLUTION. :)
Step-by-step explanation:
sin210° = _____
a)-sin210°
b)-sin30°
c)sin(-210°)
d)sin30°
Answer:
Option B (-sin 30°)
Step-by-step explanation:
Sine function is one of the trigonometric functions. Sine function is regarded as an odd function, which means that f(-x) = - f(x). Also, sine function is positive in the first two quadrants and negative in the last two quadrants. 210° lies in the third quadrant since 210° is greater than 180°. Therefore, the basic angle or the reference angle of 210° is 210° - 180° = 30°. We already know that sin 30° = 0.5. This means that whenever the angle is between 180° and 360°, the output of the sine function is negative. Therefore, sin 210° = -0.5. Only answer B is the correct option since -sin 30° = -0.5.
What is the rate of change and initial value for Neil’s business and write and equeation for it
Answer: $50 per year, y = 50x + 1200
Step-by-step explanation:
The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.
Use the slope formula: [tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}[/tex]
To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y
y - 1200 = 50(x - 0)
y - 1200 = 50x
y = 50x + 1200 ; where x represents the number of years the
company has been in business.