Need help understanding how to solve
For the two figures to be similar, the missing length must be 30.
What is the missing length?For the two figures to be similar, the dimension of each figures must be proportional to each other.
Let the missing length be x.
Hence,
x/25 = 24/20
We cross multiply
x × 20 = 24 × 25
x × 20 = 600
x = 600/20
x = 30
Therefore, for the two figures to be similar, the missing length must be 30.
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Refreshment we’re set up in one area of the gym . hot pretzels were a dollar lemonade was 50 cents, fruit was 35 cents , and cookies were a quarter . if you purchase two of each . How much money would you needed
Answer:
$4.20
Step-by-step explanation:
1+1+.50+.50+.35+.35+.25+.25=4.20
when x=-1 what is the value of y?
Answer: y=3
Step-by-step explanation:
The x-axis is on the horizontal line, and the y-axis is on the vertical line. On the horizontal line at -1, just go up until you find where y is located.
By doing this, you can find that y=3.
Answer:
Step-by-step explanation:
All we have to do is find the point on the line where x = -1. If we know this, we can see how high the point is (i.e., find it's y-value). Then, we would know the value of y.
If we draw a vertical line from where x equals -1, we see that it crosses the line at point (-1, 3). This means that we can draw a line from the point to the number -1 on the x-axis and another line from the point to the number 3 on the y-axis.
Hence, the y-value when x=-1 would be 3.
Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3
Multiply by 6
3x+4y=-6-»eq(1)And
x-y/3=3Multiply by 3
3x-y=9-»eq(2)eq(1)-eq(2)
5y=-15y=-3Then
3x+4(-3)=-63x-12=-63x=6x=2From Equation 1
[tex] \dfrac{x}{2} + \dfrac{2y}{3} = - 1 [/tex]
[tex] \dfrac{3x + 4y}{6} = - 1[/tex]
[tex]3x + 4y = - 6 [/tex]
From Equation 2
[tex]x - \dfrac{y}{3} = 3 [/tex]
[tex] \dfrac{3x - y}{3} = 3[/tex]
[tex]3x - y = 9[/tex]
By eliminating ;;
For that multiply equation 2 by 4
12x - 4y = 36 _(3)
By taking equation (1) and (3)
3x + 4y = -6
12x - 4y = 36
__________
15x = 30
x = 30/15
x = 2
Putting the value of x in 2
[tex]3(2) - y = 9[/tex]
[tex]6 - y = 9[/tex]
[tex]6 - 9 = y[/tex]
[tex]-3 = y[/tex]
So The value of x = 2 and y = -3
Use the drawing tools to form the correct answer on the provided graph.
Graph the line that represents the equation y= -2/3x + 1
The graph of the line is shown in the attached image.
Given that the equation of the line y=-2/3x+1.
The line equation is an algebraic representation of the set of points, which together form a line in an exceedingly frame of reference.
First, we'll take the intercepts of equation y=-2/3x+1 . find
Find the y-intercept
The y-intercept is that the value of y when the worth of x is adequate zero
For x=0
y=-2/3(0)+1
y=1
The y-intercept is that the point (0.1)
Find the x-intercept
The x-intercept is that the value of x when the worth of y is adequate to zero
For y=0
y=-(2/3)x+1
0=(-2/3)x+1
-1=(-2/3)x
x=3/2 or 1.5
The y-intercept is that the point (1.5,0).
To plot the line on a graph, draw the intercepts and connect the dots as shown within the figure.
Therefore, the graph for the line y=-(2/3)x+1 is attached below.
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Instructions: Given the coordinate points of the preimage, use the transformation given
to provide the points of the image.
The rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)
How to determine the coordinates
Note that rotation about in clockwise 90 degrees direction when M(h , k) rotated about the origin, the new rotation coordinates would be in the form M' (k , -h)
Coordinates of the preimage were given as;
H ( -3, -2)
I ( 1, 1 )
J ( 0, -4)
The coordinates after a 90 degrees rotation about the origin, would be
For H ( -3, -2)
h = - (-3) = 3
k = -2
H' = ( -2, 3)
For I ( 1, 1)
h = - (1) = -1
k = 1
I' = ( 1, -1)
For J ( 0, -4)
h = - (0) = 0
k = -4
J' = ( -4, 0 )
Thus, the rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)
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There are 5 different families of triplets at a triplets convention. Each triplet shook hands with all the other triplets, except his or her siblings. How many handshakes took place?
There is a total of 90 handshakes.
How many handshakes took place?
There are 5 sets of triplets.
If we select one of the sets, each of the triplets will have one handshake with the other 12 people. So we have 36 handshakes at this point.
Now we only care for the other 4 sets.
We select one set again, each triple on that set will have one handshake with the other 9 people, so for the 3 triplets, we have a total of 27 new handshakes.
For the remaining 3 sets we do the same, this time we add 18 handshakes.
Finally, there are 2 sets of triplets, this time we add 9 new handshakes.
To get the total number of handshakes we need to add them all:
36 + 27 + 18 + 9 = 90
There is a total of 90 handshakes.
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Select all the correct answers.
Which expressions are equivalent to this exponential expression?
Answer:
The answer that you have highlighted is correct.
Step-by-step explanation:
When you are dividing, you divide the exponents
-10 - (-4)
-10 + 4
-6
a brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. the brick has a density of 2.7 grams per cubic centimeter. find the mass of the brick to the nearest gram a brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. the brick has a density of 2.7 grams per cubic centimeter. find the mass of the brick to the nearest gram
The mass of brick is 2478 gram.
What is a rectangular prism?A rectangular prism has a total of 6 faces, 12 sides, and eight vertices. Like a cuboid, it has three dimensions- the base width, the height, and the length. The top and base of the rectangular prism are rectangular in shape. The pairs of opposite faces of a rectangular prism are identical or congruent.
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches.
The volume of rectangular prism = length×width×height
= 8×3.5×2
= 56
Thus volume of brick is 56 cubic inches.
Convert inches to centimeter
1 inch = 2.54 centimeter
Therefore,
56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter
56 cubic inches = 917.676 cubic centimeter
Thus, we get,
volume of a rectangular prism = 917.676 cubic centimeter
The brick has a density of 2.7 grams per cubic centimeter
Density = 2.7 grams
The mass of brick is given by formula = density × volume
[tex]\Rightarrow[/tex] = 2.7 × 917.676
[tex]\Rightarrow[/tex] = 2477.72
[tex]\Rightarrow[/tex] ≅ 2478
Thus mass of brick is 2478 gram.
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3 is subtracted from the product of 8 and a number
Answer: (8 * x) -3
Step-by-step explanation:
The term product refers to multiplication, so let the unknown number be x and multiply it by 8. Then you can subtract 3 afterwards.
*= multiplication
Using a table, find the range of the function for the given domain:
f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3}
OA.y=(-5, 1, 11, 25}
OB. y = {4, 2, 0, -3)
OC. y =(-11,-9, -7,-4}
OD.y = (25, 1, -7, 11)
The range of the function f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3} is y = (25, 1, -7, 11). Option D is the correct answer.
The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we substitute an x value, this set of values is what the function outputs. The y values are those.
In light of the query
x VS F(x) = 2x² -7
-4 F(4) = [tex]2(-4)^2 -7[/tex] = 25
-2 F(-2) = [tex]2(-2)^2 -7[/tex] = 1
0 F(0) = [tex]2(0)^2 -7[/tex] = -7
3 F(3) = [tex]2(3)^2 - 7[/tex] = 11
∴ Option D, y = (25, 1, -7, 11)
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Someone pls pls PLS, help, its urgent!!! ASAP!!
“Complete the proof (geometry)”
1) [tex]\overline{AB} \perp \overline{BD}[/tex], [tex]\overline{AB} \cong \overline{DB}[/tex], [tex]\overline{AC} \cong \overline{DE}[/tex] (given)
2) [tex]\angle ACB[/tex] is a right angle (perpendicular lines form right angles)
3) [tex]\triangle ABC[/tex] and [tex]\triangle BED[/tex] are right triangles (a triangle with a right angle is a right triangle)
4) [tex]\therefore \triangle ACB \cong \triangle DEB[/tex] (HL)
5) [tex]\therefore \angle ACB \cong \angle DEB[/tex] (CPCTC)
A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship that travels away from Earth at a speed of 0.60c for 10 years (as measured by Courtney). At the end of the trip, Courtney is 20 years old. How old is Andrea
The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.
How can Andrea's new age be calculated?The time dilation using the Lorentz transformation formula is presented as follows;
[tex]t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } [/tex]
From the question, we have;
The spaceship's speed, v = 0.6•c
∆t = Rest frame, Courtney's time, change = 10 years
Therefore;
[tex]\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8[/tex]
The time that elapses as measured by Andrea = 8 years
Andrea's age, A, at the end of the trip is therefore;
A = 10 years + 8 years = 18 years
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Write the equation of the line that has a slope of -2 and passes through (-4, -5)
Answer: [tex]y+5=-2(x+4)[/tex]
Step-by-step explanation:
See attached image.
Use a model to solve six multiplied by seven eighths. Leave your answer as an improper fraction.
A. forty two forty eighths
B. thirteen eighths
C. thirteen fourteenths
D. forty two eighths
Let's see
seven eighths means 7/8
So
6(7/8)42/821/4Forty two eighths
The equation shows the relationship between a planet’s orbital period, t, and the planet’s mean distance from the sun, a, in astronomical units, au. If the orbital period of planet y is twice the orbital period of planet x, by what factor is the mean distance increased?.
The mean distance is increased by a factor of [tex]2^{3/2}[/tex] if the orbital period of planet y is twice that of the planet x.
Description of the Kepler's law.
The orbital period T and the mean distance from the sun, A, expressed in astronomical units (AU), are related in accordance with Kepler's third law.
The mathematical formula is,
T² = A³
Here, T denotes the orbital period and A represents the average separation or mean distance from the sun.
Now, if T(y) = 2T(x)
⇒ A'³(y) = 2A³(x)
A'(y) = [tex]2^{3/2}[/tex]A(y)
Thus, if orbital period of planet y is twice the orbital period of planet x, the mean distance is lengthened by a factor of [tex]2^{3/2}[/tex].
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Answer:
2 Superscript three-halves
Step-by-step explanation:
Edge
A cup holds 2\9 litre of water. How many cups of water can be filled with 3litre bottle
Answer:
the answer might be 13.5
HURRY PLEASE!!!!!!
Jarrett splits his bag of j jelly beans into two equal piles and gives one pile to his brother. He then gives his brother seven more beans. Write an algebraic expression to represent the number of beans his brother has?
Sandy rakes and bags the leaves on her front lawn in 30 mins. Randy does the same job in 20 mins. How many fewer minutes will it take to complete the same job if sandy and randy work together than if sandy works alone?
The number of minutes it take to complete the same job if sandy and randy work together than if sandy works alone is 18mins.
How to calculate time?According to this question, Sandy rakes and bags the leaves on her front lawn in 30 mins while Randy does the same job in 20 mins.
To calculate the time it will take both of them to work together, we use the following expression;
1/30 + 1/20 = 1/x
x = 12mins
Therefore, it will take 30 - 12 = 18 mins, to complete the same job if sandy and randy work together than if sandy works alone.
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Joe's company sold insurance policies over the phone. Last month, 2 employees sold three hurricane policies, 6 employees sold two hurricane policies, and 9 employees sold a single hurricane policy. If a single employee is picked at random, what is the probability that the employee sold two hurricane policies or sold one hurricane policy
The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.
According to the statement
Number of employees who sold three hurricane policies is 2
Number of employees who sold two hurricane policies is 6
Number of employees who sold 1 hurricane policies is 9
SO,
The total number of employees is 2+6+9=17.
The number that sold two hurricane policies or sold one hurricane policy is 6+9=15,
so the Probability = Total number of policies sold / total number of employees
Probability = 15/17
So, The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.
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Mr. Omwoyo, the principal of Maili Mbili Secondary would wish to cover the floor of the new administration block using square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of the largest tiles in cm² which can be used to fit exactly without cutting.
Answer:
hi play truth and dare to with me in g met
My fruit basket contain apples and oranges.The ratio apples to oranges is 3:8.When I remove one apple the ratio changes to 1:3 .How many apples are in the basket
The number of apples in the basket are; 24 apples
How to simplify simultaneous equations?Let there be X number of apples and Y number of oranges.
Thus by the given ratio we can say that;
x/y = 3/8 -----(1)
(x — 1)/y = 1/3
3x — 3 = y ----(2)
Substitute 3x - 3 for y in eq 1 to get;
x/(3x - 3) = 3/8
8x = 9x - 9
9x - 8x = 9
x = 9
Thus;
y = 3(9) - 3
y = 24 apples
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Which system is equivalent to startlayout enlarged left-brace 1st row y = 9 x squared 2nd row x y = 5 endlayout
The set of equations that corresponds to the specified function are
y = 5 - x and 5 - x = 9x².
What is linear equation in two variables?
If an equation is expressed as ax + by + c=0, where a, b, and c are all real integers and a and b, the coefficients of x and y, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
The given equation is :
[tex]y=9x^{2}[/tex] equation 1.
[tex]x+y=5[/tex] equation 2.
From equation 2.
[tex]x+y=5\\y=5-x[/tex]
substituting into 1 equation.
[tex]5-x=9x^{2}[/tex]
The system of equations that is equivalent to the provided function is shown by the resulting equation, which is y = 5 - x and [tex]5-x=9x^{2}[/tex]
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Briana is looking for jobs and is hoping to find one that will allow
her to make at least $2,000 in her first paycheck. She has found
one possible postion at the local shoe store that is offering $200
signing bonues and a wage of $15 per hour. How many hours will
Briana need to work to make $2,000 in her first paycheck?
Answer: 120 hr
Step-by-step explanation: 15$ every hr so for 120 hrs it would be 1,800$ plus the signing bonus of 200$ would total 2,000$ but with out the bonus she would have to work 134 hrs for 2,010$
Q.3. The slope of line is ¾ and the y - intercept is equal to 4 . Write the equation of the line and draw the graph of the line.
help me now!!
The equation of line with the given slope and y-intercept is y = (3/4)x + 4.
What is the equation of the line?Given that;
Slope = 3/4y-intercept b = 4Equation of the line y = ?We use the formula for equation of line to determine the equation.
y = mx + b
Where m is the slope and b is the y-intercept.
We plug in our values
y = mx + b
y = (3/4)x + 4
Therefore, the equation of line with the given slope and y-intercept is y = (3/4)x + 4.
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Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 9x = 27.
Which of the following systems could have led to this equation?
O
9x + 2y = 21
-9x - 2y = 21
10x - y = 15
x+y = - 12
7x - 2y = 15
x + y = 6
4x + 3y = 24
-5x - 3y = 3
The system of equation that could have led to the equation 9x = 27 is
7x - 2y = 15
x + y = 6
The correct option is the third option
7x - 2y = 15
x + y = 6
Solving systems of equationsFrom the question, we are to determine the system that could have led to 9x = 27
1.
9x + 2y = 21
-9x - 2y = 21
Subtracting, we get
9x + 2y = 21
-9x - 2y = 21
-------------------
18x + 4y = 0
2.
10x - y = 15
x + y = - 12
Subtracting, we get
10x - y = 15
x + y = - 12
---------------------
9x -2y = 27
3.
7x - 2y = 15
x + y = 6
Here, multiply the second equation by 2
2 × [x + y = 6]
2x + 2y = 12
Now, add to the first equation
7x - 2y = 15
2x + 2y = 12
------------------
9x = 27
4.
4x + 3y = 24
-5x - 3y = 3
Subtracting, we get
4x + 3y = 24
-5x - 3y = 3
---------------------
9x + 6y = 21
Hence, the system of equation that could have led to the equation 9x = 27 is
7x - 2y = 15
x + y = 6
The correct option is the third option
7x - 2y = 15
x + y = 6
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a data set has 8 numbers and 2 is the highest number what is the lowest?
The lowest number in the data set is -5.
How to illustrate the information?Let the data sets be consecutive numbers that has a highest number of 2.
Consecutive numbers mean that the.numvers follow each other. This will be:
-5, -6, -7, -8, -9, 0, 1, 2
Based on the numbers illustrated above, the lowest number is -5.
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A researcher randomly assigns participants to complete a crossword puzzle with or without music. The time it takes to complete the crossword puzzle is compared between groups. The experimental group in this example is:
Answer:
The music group
Step-by-step explanation:
The experiment group is the group where something is being modified, so the music group is the one having their environment modified.
Find the interval in which the function is negative.
f(x)=x²-3x - 4
1. (-∞0, -1)
II. (-1, 4)
HI. (4, ∞)
Oll only
III only
OLI
LIII
Answer: II only: (-1, 4)
Step-by-step explanation:
x^2 - 3x - 4 is a parabolic function. When you factor the equation, it comes out to f(x) = (x-4)(x+1). Thus, the function as zeros at -1 and 4. Since the a value is positive, the parabola points up. Therefore, if you graph the function, it is negative between -1 and 4, so the answer is II only
A university wants to determine the average salary of its graduating computer science majors. the university asks the graduating classes of 50 students to share their starting salaries when hired. the 50 students had an average salary of $100,000 with a standard deviation of $2,000. find a 95% confidence interval for the average starting salary of computer science majors from the university.
Option B. ($99,242.00, $100,758.01)
a) For n - 1 = 49 degrees of freedom, we have form t distribution tables:
P( t < 2.010) = 0.975
Therefore, P(-2.010 < t < 2.010) = 0.95
Therefore the confidence interval here is obtained as:
X +₋ t 8/√ⁿ
100 \pm 2.010*\frac{2}{\sqrt{50}}
100 \pm 0.5685
(99431.61, 100568.39)
Therefore A is the correct interval here.
Q2) From t distribution tables, we have here:
P(-2.680 < t < 2.680) = 0.99
Therefore the confidence interval here is obtained as:
100 \pm 2.010*\frac{2}{\sqrt{50}}
100 \pm 0.7580
(99242, 100785)
1) A university wants to determine the average salary of its graduating computer science majors. The university asks the graduating classes of 50 students to share their starting salaries when hired. The 50 students had an average salary of $100,000 with a standard deviation of $2,000. Find a 95% confidence interval for the average starting salary of computer science majors from the university.
a - ($99,431.61, $100,568.39)
b - ($99,445.64, $100,554.36)
c- ($99,982.26, $100,017.74)
d - The salaries are not normally distributed so we cannot compute a confidence interval
2) Find a 99% confidence interval for the previous problem.
a - ($99,271.44, $100,728.56)
b - ($99,242.00, $100,758.01)
c - ($99,996.46, $100,003.55)
d - The salaries are not normally distributed so we cannot compute a confidence interval
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