Value of x would make these two solids similar when x is equal to 7.75.
Define similarity.When it comes to Euclidean geometry, two things are said to be similar if they have the same shape or the same shape as each other's mirror image. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection. If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name given to this usual ratio.
Given
Two figures given
Value of x would make these two solids similar
D. X=7.75
To learn more about similarity, visit:
https://brainly.com/question/26451866
#SPJ1
4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).
Answer:
1) (4x)² - (5)²
2) (4x + 5) (4x -5)
3) Zeros of b are \(\frac{5}{4}\) and \(\frac{-5}{4}\) (can also be 1.25 and -1.25)
What is the value of x in the equation -3x=4?
Answer:
- 1 1/3
Step-by-step explanation:
To solve this, simply divide 4 by -3. 4/-3 = -1 1/3, so that's your answer.
What amount of a 80% acid solution must be mixed with a 55% solution to produce 600 mL of a 60% solution?
Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.
The equation can be set up as follows:
0.80x + 0.55(600 - x) = 0.60(600)
Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.
By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.
Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.
Let x=amount of 80% solution needed
Then 600-x=amount of 30% solution needed
Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:
0.80x+0.30(600-x)=0.40*600 get rid of parens
0.80x+180-0.30x=240 subtract 180 from each side
0.80x+180-180-0.30x=240-180 collect like terms
0.50x=60 divide each side by 0.50
x=120 ml---------------------amount of 80% solution needed
600-x=600-120=480 ml---------------amount of 30% solution needed
CK
120*0.80+480*0.30=0.40*600
96+144=240
240=240
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
Of) = -
O F(x) = - 3x + 4
Of(x) = -x +
O fb) = - 3y+ 4
Answer:
f(x) = -3x + 4
Step-by-step explanation:
Step 1: Move the 9x over
3y = 12 - 9x
Step 2: Divide everything by 3
y = 4 - 3x
Step 3: Rearrange
y = -3x + 4
Step 4: Change y to f(x)
f(x) = -3x + 4
Is this the right answer
Answer:
yes that would be correct
Step-by-step explanation:
4 + 4 is 8
If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
https://brainly.com/question/3831584
#SPJ8
Ahmed is taking orders for lunch. A slice
of pizza costs $2.5 and a chicken
sandwich costs $3.5. He collects $21.5
for the group of 7 people.
Let x = number of pizza orders. Let
y = number of chicken orders.
PLEASE HELP
Answer:
x+y=7; 2.5x+3.5y=21.5(x, y) = (3, 4)Step-by-step explanation:
Perhaps you want a system of equations and their solution.
You have defined the variables, so you just need to write the relationships.
x + y = 7 . . . . we assume one order per person
2.50x + 3.50y = 21.50 . . . . we assume Ahmed collected just enough
__
Multiplying the first equation by 2.5 and subtracting that from the second equation, we get ...
(2.50x +3.50y) -2.5(x +y) = (21.50) -2.5(7)
y = 4
x = 7 -4 = 3
There were 3 pizza orders and 4 sandwich orders.
Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Let the sample space be
S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Suppose the outcomes are equally likely. Compute the probability of the event E = 1, 2.
Answer:
probability of the event E = 1/5
Step-by-step explanation:
We are given;
Sample space, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
Number of terms in sample S is;
n(S) = 10
We are given the event; E = {1, 2}
Thus, number of terms in event E is;
n(E) = 2
Now, Probability = favorable outcomes/total outcomes
Thus, the probability of the event E is;
P(E) = n(E)/n(S)
P(E) = 2/10
P(E) = 1/5
Which expression is equivalent to
Xy2/9
Answer:
x(^9 radicand y^2)
Last option
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Select all of the situations below that can be modeled by the expression 4 + 3x.
Four more than three and a number.
Four more than three times a number.
The sum of three times a number and four.
The sum of the product of four, three, and a number.
The sum of four and the product of three and a number.
Answer:
1 2 3
Step-by-step explanation:
What is 82,199 rounded to the thousands
Answer:
82.20
Step-by-step explanation:
can some please help with 11 !!!!
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
To know more about functions, visit:
https://brainly.com/question/31062578
Based on the way living things are organized, what level combines to form tissues? Cells Molecules Organs Organ systems
Answer:
Cells
Step-by-step explanation:
HTH!
Savanna's engine holds 2 1/2 gallons of oil. if there are 2 quarts in the engine now, how many more quarts of oil does Savanna need to fill the engine to capacity
Answer:
8 quarts
Step-by-step explanation:
1 gallon=4 quarts
4 times 2/12=10
10-2=8
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
Few families can survive on a single salary.
Please select the best answer from the choices provided
T
F
Few families can survive on a single salary is true statement
Many families rely on dual incomes to make ends meet, especially in areas with high living costs.
However, there are still many families that rely on a single salary to support themselves.
While it may be challenging to make ends meet on a single salary, it is still possible for families to survive and even thrive in these circumstances.
To learn more on Salary click:
https://brainly.com/question/14371457
#SPJ1
1. The slant height of a cone is 5cm and the radius of its base is 3cm. Find correct to the nearest
whole number the volume of the cone (A) 48cm3 (B) 47cm3 (C) 38cm3 (D)13cm3
The volume of the cone is 13 cm³. option D
How to determine the volumeTo determine the volume of the cone, we have that;
The formula for calculating the volume of a cone is expressed as;
Volume = (1/3)πr ²√(L ² - r ²).
Such that;
r is the radiusL is the slant heightSubstitute the values, we have;
Volume = 1/3 × 3.14 ² × √(25 - 9)
Find the squares, we get;
Volume, V = 1/3 × 9. 86 × √16
Find the square root
Volume, V = 1/3 × 9.86 × 4
Volume, V = 13 cm³
Learn more about volume at:
#SPJ1
If elephant grass grows 2 3/4 inches a day, how many inches will it grow in 6 days?
i need the answer plzz and the right one
Answer:
Number 3
Step-by-step explanation:
Andy painted 400 square feet in 3 hours. At that rate, how many cars could they wash in 7 hours? *
Answer:
It will take 5.4 hour to paint 720 square feet
Step-by-step explanation:
The question should be like this"Andy painted 400 square feet in 3 hours. How long would it take him to paint 720 square feet?"
In 3 hours = 400 square feet is painted
1 square feet is painted in \(\dfrac{3}{400}\ h\)
To find time to paint 720 square feet multiply the above term by 720 as follows :
\(720\ ft^2=\dfrac{3}{400}\times 720\ h\\\\=5.4\ h\)
So, it will take 5.4 hour to paint 720 square feet.
What is the measure of ZBAC?
50"
50"
B
[Not drawn to scale)
A. 50°
B. 80°
C. 100°
D. 130°
Answer:
80 degrees
Step-by-step explanation:
Sum of the interior angles of a triangle = 180
a + 50 + 50 = 180
a = 80
The odds in favor of an event are given. Compute the probability of the event. (Enter the probability as a fraction.)
4 to 7
The probability of the event for the given odds in favor (4 to 7) is found as 4/11.
How do you calculate the probability?The inquiry provides the unusual parameters shown below: Odd = 4 to 7First, we must translate the odd into a ratio.Thus, we have the depiction shown below: odds of 4 to 7To continue solving, we must represent the ratio as a fraction.
Thus, we have the depiction shown below.
Odds ratio equals 4/7
We use the following equation to translate the aforementioned odd's expression into a probability expression.
This is displayed as
P = (Odds + 1)/(Odds).
Replace the unknown values in the equation above.
The following equation is what we have.
P = (4/7)/(4/7 + 1)
Analyze the amount
This results
P = (4/7)/(11/7)
Put the quotient in product form.
P = (4/7) * (7/11)
Evaluate
P = 4/11
Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.
To know more about the probability, here
https://brainly.com/question/13604758
#SPJ1
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
For more such questions on GCF
https://brainly.com/question/902408
#SPJ8
What is the solution to this inequality? 6x−5>−29 A x>4 B x>−4 C x<−4 C x<4
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I need help with this practice problem *MAKE SURE TO ANSWER (a) AND (b), AS THEY ARE THE QUESTIONS TO THIS PROBLEM*
A)
Using the Binomial Theorem:
\((a+b)^n=\sum ^n_{k\mathop=0}\begin{pmatrix}n \\ k\end{pmatrix}a^{n-k}b^k\)Then, replace for a=3x⁵, b=-1/9 y³ and n=4 to find the summation notation that Harold uses to express the expansion:
\(\mleft(3x^5-\frac{1}{9}y^3\mright)^4=\displaystyle\sum ^4_{k=0}\begin{pmatrix}4 \\ k\end{pmatrix}\mleft(3x^5\mright)^{4-k}\mleft(-\frac{1}{9}y^3\mright)^k\)B)
To find the simplified terms of the expansion, expand the sum using the corresponding values of k from 0 to 4:
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad \begin{pmatrix}4 \\ 0\end{pmatrix}(3x^5)^{4-0}(-\frac{1}{9}y^3)^0 \\ & +\begin{pmatrix}4 \\ 1\end{pmatrix}(3x^5)^{4-1}(-\frac{1}{9}y^3)^1 \\ & +\begin{pmatrix}4 \\ 2\end{pmatrix}(3x^5)^{4-2}(-\frac{1}{9}y^3)^2 \\ & +\begin{pmatrix}4 \\ 3\end{pmatrix}(3x^5)^{4-3}(-\frac{1}{9}y^3)^3 \\ & +\begin{pmatrix}4 \\ 4\end{pmatrix}(3x^5)^{4-4}(-\frac{1}{9}y^3)^4 \\ \end{aligned}\)Simplify the exponents of the parentheses (3x^5):
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad \begin{pmatrix}4 \\ 0\end{pmatrix}(3x^5)^4(-\frac{1}{9}y^3)^0 \\ & +\begin{pmatrix}4 \\ 1\end{pmatrix}(3x^5)^3(-\frac{1}{9}y^3)^1 \\ & +\begin{pmatrix}4 \\ 2\end{pmatrix}(3x^5)^2(-\frac{1}{9}y^3)^2 \\ & +\begin{pmatrix}4 \\ 3\end{pmatrix}(3x^5)^1(-\frac{1}{9}y^3)^3 \\ & +\begin{pmatrix}4 \\ 4\end{pmatrix}(3x^5)^0(-\frac{1}{9}y^3)^4 \\ \end{aligned}\)Simplify the binomial coefficients:
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad 1\cdot(3x^5)^4(-\frac{1}{9}y^3)^0 \\ & +4\cdot(3x^5)^3(-\frac{1}{9}y^3)^1 \\ & +6\cdot(3x^5)^2(-\frac{1}{9}y^3)^2 \\ & +4\cdot(3x^5)^1(-\frac{1}{9}y^3)^3 \\ & +1\cdot(3x^5)^0(-\frac{1}{9}y^3)^4 \\ \end{aligned}\)Elevate each parenthesis to its corresponding power:
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad (81x^{20})(1) \\ & +4(27x^{15})(-\frac{1}{9}y^3) \\ & +6(9x^{10})(\frac{1}{81}y^6) \\ & +4(3x^5)(-\frac{1}{729}y^9) \\ & +(1)(\frac{1}{6561}y^{12}) \\ \end{aligned}\)Next, multiply all the factors on each term:
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad 81x^{20} \\ & -\frac{108}{9}x^{15}y^3 \\ & +\frac{54}{81}x^{10}y^6 \\ & -\frac{12}{729}x^5y^9 \\ & +\frac{1}{6561}y^{12} \\ \end{aligned}\)Finally, simplify all the coefficients:
\(\begin{aligned}\mleft(3x^5-\frac{1}{9}y^3\mright)^4\quad = & \quad 81x^{20} \\ & -12x^{15}y^3 \\ & +\frac{2}{3}x^{10}y^6 \\ & -\frac{4}{243}x^5y^9 \\ & +\frac{1}{6561}y^{12} \\ \end{aligned}\)Therefore, the simplified terms of the expansion are:
\(\mleft(3x^5-\frac{1}{9}y^3\mright)^4\; =\; 81x^{20}-12x^{15}y^3+\frac{2}{3}x^{10}y^6-\frac{4}{243}x^5y^9+\frac{1}{6561}y^{12}\)
what is the midpoint of 70 and 90
Answer:
80
Step-by-step explanation:
Just average the two numbers to get (70+90)/2 = 160/2 = 80
Answer:
Step-by-step explanation:
To find the midpoint between two numbers, you add them together and divide the sum by 2.
In this case, the midpoint between 70 and 90 would be:
(70 + 90) / 2 = 160 / 2 = 80.
Therefore, the midpoint between 70 and 90 is 80.
Finding the derivative of a function at a point x gives
A.) The slope of the secant line of the function at x
B.) A line parallel to the function
C.) The slope of the tangent line of the function at x
D.)None of the above
Answer:
C.)
Step-by-step explanation:
that is exactly the definition of the derivative.
the derivative is the limit of
(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h
with h going to 0.
this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.