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What will be the result of substituting 2 for x in both expressions below?
3x+4
x+6–3x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
o One expression equals 5 when substituting 2 for x, and the other equal2 because the expressions are not
equivalent
o One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent
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None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.
How can we find the solution to an equation?
We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
The given equation is;
Equation 1;
[tex]\rm 3x+4[/tex]
Equation 2;
[tex]x+6-3x-2[/tex]
After putting the value 2 on the place of x we get;
Equation 1;
[tex]\rm = 3x+4[/tex]
[tex]=3 \times 2+4 \\ =10[/tex]
Equation 2;
[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]
Hence, the none of the given options are matching.
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2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12
Step-by-step explanation:
........ .......... ....
Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
A
Step-by-step explanation:
You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor
Given that a/b = 3/5 and b/c = 4/5
Find a:b:c
Answer:
12:20:25
I thnk this is it. I'm not sure though
PLEASE HELP WILL MARK BRAINLIEST
only number 8
Answer:
a=646.84 c=113.04
Step-by-step explanation:
9
i need help!!
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math geniuses pls help me!
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pls!!!
Answer:
A. (-2√2, -2√2)
Step-by-step explanation:
Just use conversion formulas
hope this helps:)
Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?
Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
How to calculate the perimeter?In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
Given the following data:
Minor base = 10 cm.Major base = 13 cm.From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
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Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.
The system of equations and the corresponding matrix model for the following above is given and explained below.
What is a system of equations?A system of Equations refers to a set of equations that one must solve or interact with all at once.
What is the system of equation for the exercise above?Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.
Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:
100 - (5 percent + 3 percent) = 92 percent.
Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.
We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.
Hence, the various equations describing the system will be given as:
Xt+1 = 0.92Xt + 0.92Zt
Yt+1 = 0.05Xt + 0.999Yt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt
or
Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt
Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.
The Matrix Model is given as follows:
[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex] = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex] = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]
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Find the area of a circle with a radius of 10 centimeters. Use 3.14 for π.
Answer:
A = 314 cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
= 3.14 × 10²
= 3.14 × 100
= 314 cm²
hi I'm having some trouble
Answer:
4-4
Step-by-step explanation:
Substitute the actual values of the points into the distance formula.
Simplify the fraction
The radio of the base of two cylindrical tins are r and 3r respectively .if the water level in A is 18cm high , what would be the height of the same quantity of water in B
Answer:
2 cm.
Step-by-step explanation:
Volume of the water is the same in the 2 cyinders,
Volume of water in A = π r^2 * 18.
Volume in B = π (3r)^2 * h.
So 18πr^2 = 9π r^2 h
18 = 9h
h = 18 / 9
= 2
Please help me if really appreciate it!!
Examine the ordered pairs in this function.
(8,5), (-3,8), (11,-1), (10,-5), (4,4)
True or False: This relation IS a function.
True
False
Answer:
True
Step-by-step explanation:
A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.
Please answer quickly
[tex]\dfrac{4+3\sqrt 5}{4-3\sqrt 5}\\\\\\=\dfrac{\left(4+3\sqrt 5 \right)\left(4+3\sqrt 5 \right)}{\left(4-3\sqrt 5 \right)\left(4+3\sqrt 5 \right)} \\\\\\=\dfrac{\left(4+3\sqrt 5 \right)^2}{4^2 - \left( 3 \sqrt 5 \right)^2}\\\\\\=\dfrac{4^2 + 2\cdot 4 \cdot 3\sqrt 5 + \left( 3\sqrt 5 \right)^2}{16-9\cdot 5}\\\\\\=\dfrac{16+24\sqrt 5 + 45}{16-45}\\\\\\=\dfrac{61+24\sqrt5}{-29}\\\\\\=-\dfrac{61}{29}-\dfrac{24}{29}\sqrt 5\\\\\\=-\left(\dfrac{61}{29}\right) + \left(- \dfrac{24}{29} \right) \sqrt 5[/tex]
[tex]\text{It is now in a form of}~ a+b\sqrt 5~, \text{where}\\ \\a=-\dfrac{61}{29}~~ \text{and}~~ b =- \dfrac{24}{29}[/tex]
Al pagar una cuenta de S/ 143 se le cobró una mora del 10%. ¿Cuál era el pago original?
Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.
Definición de porcentajeEl porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.
En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.
Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.
Pago originalEl pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.
Entonces:
110%×P=143
Resolviendo:
P= 143 ÷ 110%
Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces 110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:
P=143 ÷ [tex]\frac{110}{100}[/tex]
P= 130
Entonces, el pago original sin la mora del 10% es 130.
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What is the equation of the quadratic function represented by this table?
The equation of the quadratic function is y = -1/4(x + 2)² + 4
How to determine the quadratic equation?A quadratic equation is represented as:
y = ax² +bx + c
When x = 0 and y = 3, we have:
3 = a(0)² +b(0) + c
This gives
c = 3
So, we have:
y = ax² +bx + 3
When x = 1 and y = 1.75, we have:
1.75 = a(1)² +b(1) + 3
This gives
a + b = -1.25
Make b the subject
b = -1.25 - a
When x = -2 and y = 4, we have:
4 = a(-2)² +b(-2) + 3
This gives
4a - 2b = 1
Substitute b = -1.25 - a in 4a - 2b = 1
4a - 2(-1.25 - a) = 1
Expand
4a + 2.5 + 2a = 1
Evaluate the like terms
6a = -1.5
Divide both sides by 6
a = -1/4
Substitute a = -1/4 in b = -1.25 - a
b = -1.25 + 1/4
Evaluate
b = -1
So, we have:
y = -1/4x² - x + 3
Factor out -1/4
y = -1/4(x² + 4x) + 3
-------------------------------------------------
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
-------------------------------------------------
Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3
y = -1/4(x² + 4x + 4 - 4) + 3
Expand
y = -1/4(x² + 4x + 4) + 1 + 3
Evaluate the sum
y = -1/4(x² + 4x + 4) + 4
Express the bracket as a perfect square
y = -1/4(x + 2)² + 4
Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4
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10 units
What is the approximate area of the circle?
Find the volume of this right triangular prism 5cm 8 cm 3 cm
Answer:
I can help, but can you label which is base, height, and length
Step-by-step explanation:
Given that XY is a line segment with the angle a = 46 degrees, work out the value of the angle marked b.
B = ?
Answer:
The answers should be b=44°
Step-by-step explanation:
b=180°–90°–a
b=180°–90°–46°
b=44°
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y=3x+7
Step-by-step explanation:
take two points, (1,13) (2,19)
subtract using slope formula
19-13 2-1= 6/1 -> 6-> 3
find your y intercept (b) by using the first term in the 7 row (7)
Answer:
y = 3x +
Step-by-step explanation:
The equation of the line is given by:
----------------------------
The equation of a line, in slope-intercept formula, has the following format:
In which
m is the slope, that is, how much y changes when x changes by 1.
b is the y-intercept, that is, the value of y when x = 0.
----------------------------
Given two points (x,y), the slope is the change in y divided by the change in x.
We have points (-1, -1) and (3,11). Thus:
Then
----------------------------
Point (-1,-1) means that when , and we use this to find b.
Thus
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Help me please I beg
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0 ) and (x₂, y₂ ) = A (- 5, 2 )
[tex]m_{OA}[/tex] = [tex]\frac{2-0}{-5-0}[/tex] = [tex]\frac{2}{-5}[/tex] = - [tex]\frac{2}{5}[/tex]
(b)
the angle between a tangent and a radius at the point of contact is 90°
given a line with slope m then the gradient of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]
(c)
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = [tex]\frac{5}{2}[/tex] , then
y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
to find c substitute A (- 5, 2 ) into the partial equation
2 = - [tex]\frac{25}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{25}{2}[/tex] = [tex]\frac{29}{2}[/tex]
y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{29}{2}[/tex] ← equation of tangent
Round 6254 correct to 1 signature figure
Answer:
6000
Step-by-step explanation:
6.25×10 3x 6.3×10 3x6×10 3×Question 10
There are boys and girls in a class in the ratio 11 : 16
There are 256 girls.
How many boys are there?
Answer:
There are 176 boys
Step-by-step explanation:
256/16=16
11x16=176
Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(-1, 4/3) and B(1/3, -2/3). What is tjr scale factor of the dilation?
1. 1/6
2. 1/3
3. 3
4. 6
Answer:
option 2
Step-by-step explanation:
consider the coordinates A (- 3, 4 ) and A' (- 1, [tex]\frac{4}{3}[/tex] )
since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.
scale factor = [tex]\frac{A'}{A}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{\frac{4}{3} }{4}[/tex] = [tex]\frac{1}{3}[/tex]
similarly B (1, - 2 ) and B' ([tex]\frac{1}{3}[/tex], - [tex]\frac{2}{3}[/tex] )
[tex]\frac{\frac{1}{3} }{1}[/tex] = [tex]\frac{1}{3}[/tex] and [tex]\frac{-\frac{2}{3} }{-2}[/tex] = [tex]\frac{1}{3}[/tex]
help it’s due in an hour and I’m stuck
Hey could you help me
Estimate
754÷12
Your answer is 62.8
Have a good day
somebody please help me with this question!
Answers:
P(A) = 7/12
P(B) = 1/2
=====================================================
Explanation:
To see how I calculated P(A), check out this link to this very similar question
https://brainly.com/question/27669586
--------------------
Now to calculate P(B)
If a number is divisible by 2, then the number is a multiple of 2.
In other words, the number is even.
Counting through the values in the table, you should find that there are 18 sums that are even (2, 4, 6, 8, 10 and 12). Refer to the dice chart below.
Here's a further breakdown
1 copy of "2"3 copies of "4"5 copies of "6"5 copies of "8"3 copies of "10"1 copy of 12Side note: We have nice symmetry going on.
There are 1+3+5+5+3+1 = 18 values total that are even numbers. The other half are odd numbers of course.
P(B) = 18/36 = (1*18)/(2*18) = 1/2
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
5. A TV program received 7.4 points of audience rating at the first week of its opening. Then, because many advertisements were inserted, its audience rating dropped by 25% at the second week. What was the audience rating at the second week? points Enter the answer Check it skip
Answer:
5.55 points
Step-by-step explanation:
25% reduction so its 75% of the original value
75% of 7.4 is 5.55