Answer:
11
Step-by-step explanation:
3 + 2 × 4 ( multiplication before addition )
= 3 + 8
= 11
Point N is the midpoint of segment FG. If FN = 2z2 + 4z +3, write the expression below that represents FG.
The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.
Since O represents the midway, both FO and OG must be equal.
3x + 17 = 7x - 15
Add 3x to both sides and subtract:
17 = 4x -15
To both sides, add 15:
32 = 4x
Subtract 4 from both sides:
x = 32/4
X = 8
Now that you know the value of X, find the lengths:
FO = 3x +17 = 3(8) +17 = 24 +17 = 41
OG = 7x -15 = 7(8) -15 = 56-15 = 41
Total length would be 41 + 41 = 82
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On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit. Given the following formula, determine the temperature in degrees Fahrenheit
Answer:
138.2
Step-by-step explanation:
Celsius to Farenheit
(59/5)*9=106.2
106.2+32=138.2 farenheit
Show that
5x+2
3x
+1⁄/12
can be written in the form
ax+b
CX
where a, b and c are integers.
Answer:
Step-by-step explanation:
When completing the square, an expression like,
ax2 + bx + c is written in the form (Ax + B)2 + C.
We will begin with the simple example where a = 1. In this case we will write expressions in the form
x2 + bx + c as (x + B)2 + C
If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.
Comparing this with x2 + bx + c shows that
b = 2B and c = B2 + C
which gives B =
b
2
and C = c – B2
For the following relation, provide the domain and range.
Domain: [A, B] Range: [C, D]
A=
B=
C=
D=
Answer:
Domain: [-4,2]
Range: [-3,3]
Step-by-step explanation:
A = -4
B = 2
C = -3
D = 3
6/4 + 0.68
Jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
Multiple choices accepted
Group of answer choices
1.2 + 0.68 should have equaled 8.0
1.2 + 0.68 should have equaled 0.80
6/4 should have been changed to 1.5
6/4 should have been changed to 1.24
PLEASE ANSWER FASTTT IM TIMED
Answer
1.2 + 0.68 should have equaled 0.80
Step-by-step explanation:
jason solved this problem by changing 6/4 to 1.2. He then added 1.2 to 0.68 and got 1.88.
This answer is incorrect. What did he do wrong?
If Jason solved this problem by changing 6/4 to 1.2, The wrong thing he did is ; 6/4 should have been changed to 1.5. Option C is correct
How to solve the problemTo find the correct answer, let's first evaluate the expression step by step:
1. 6/4 is equal to 1.5, not 1.2.
2. 1.5 + 0.68 equals 2.18, this is not 1.88.
So, the correct answer is: Jason made a mistake in the first step. He changed 6/4 to 1.2, but it should have been 1.5.
Therefore, the correct calculation is 1.5 + 0.68 = 2.18.
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You are given the equation v = ir, if you compare this to y = mx b, what is the y intercept, b equal to?
The y-intercept is (0, C/B).
What is the y-intercept?A y-intercept or vertical intercept is a point in analytic geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the common conference that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, these points satisfy the condition x = 0.Given:
v = iry = mxbThen,
Ax + By = C, where B ≠ 0By = - Ax + cy = - A/Bx + C/B ......(1)y = mx + bm = - A/B(0, C/B)Therefore, the y-intercept is (0, C/B).
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17k to 19.04k increase. What is the percent increase?
Need Answered ASAP
Answer:
4 %
Step-by-step explanation:
the height of a frame is 2/3 times its width
The height of the frame is 1 m and the width is 1.5 meters.
The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.
The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.
Perimeter(p)=2×[height(h)+width(w)]
The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.
Let us consider the width be x.
Hence height=[tex]\frac{2}{3} x[/tex]
Now perimeter =
[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]
But the given perimeter is 5 meter.
Therefore:
[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]
Therefore the width is 1.5 meters.
Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.
So we can conclude that the width is 1.5 meters and the height is 1 meter.
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The cost of bananas varies directly with the number of pounds bought. If 6 pounds
cost $5.22, find the cost of 3 pounds.
Answer:
$2.61
Step-by-step explanation:
So, We have $5.22 for 6 pounds of Bananas.
If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3
In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100
5.22*100=522
Now we divide
522/2 = 261
Now we divide 261 by 100, since we multiplied by 100 earlier.
261/100 =2.61
So our answer is $2.61 for 3 pounds of bananas .
Hope this helps! ^^
Answer:$2.61 for 3 pounds
Thank for the brainliest
Step-by-step explanation:first you divided $5.22/6 because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x - 6)^2 - 5 = 0
[tex]\boldsymbol{\sf{(x-6)^{2}-5=0 }}[/tex]
Take the square root of both sides to eliminate the exponent on the left side.[tex]\boldsymbol{\sf{x-6=\pm\sqrt{5} }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.First, use the positive value of ± to find the first solution.[tex]\boldsymbol{\sf{x-6=\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{ \sf{x=\sqrt{5}+6 }}[/tex]
Then use the negative value of ± to find the second solution.[tex]\boldsymbol{\sf{x-6=-\sqrt{5} }}[/tex]
Add 6 to both sides of the equation.[tex]\boldsymbol{\sf{x=-\sqrt{5}+6 }}[/tex]
The complete solution is the result of the positive or negative portions of the solution.[tex]\boldsymbol{\sf{x=\sqrt{5}+6,-\sqrt{5}+6 }}[/tex]
[tex]\huge \red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ x=\pm\sqrt{5}+6 }}}}[/tex]
Skandar-5,5 postać ułamka zwykłego -4,8 postać ułamka zwykłego pomocy
Answer:
[tex]-5.5 = \frac{-11}{2}[/tex]
[tex]-4.8 = \frac{-24}{5}[/tex]
Step-by-step explanation:
Postać ułamka zwykłego oznacza postać [tex]\frac{licznik}{mianownik}[/tex].
Zaczynamy od zauważenia, że [tex]-5.5 = -55/10 = -\frac{55}{10} = -\frac{11}{2} = \frac{-11}{2}[/tex]
-4.8 robimy analogicznie, tylko skracamy przez 2 a nie przez 5.
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What’s the measure of QS?
A ) 6.2 mm
B) 9.5 mm
C)21.9 mm
D)22.4 mm
Please show work because I need to understand
In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.
Answer:
102
Step-by-step explanation:
<QRT and <VTU are alternate exterior angles, so they are congruent.
m<QRT = m<VTU
x + 40 = 2x -22
62 = x
m<QRT = x + 40 = 62 + 40 = 102
m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102
how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?
Answer: -2.0, -1.02, 0.25, 1.98
Step-by-step explanation:
Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)
In the figure below, m ZABD = 104°, BC bisects LABD, and BE bisects ZCBD. Find mZEBD.
Check
A
B
C
E
D
mZEBD
X
2022 McGraw
The measure of ∠EBD from the given figure is 26°.
Given that, m∠ABD=104°, BC bisects ∠ABD, and BE bisects ∠CBD.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since BC bisects ∠ABD, we get ∠ABC=∠CBD
So, ∠ABD=∠ABC+∠CBD
⇒2∠CBD=104°
⇒∠CBD=52°
Here, BE bisects ∠CBD, we get ∠CBE=∠EBD
So, ∠CBD=∠CBE+∠EBD
⇒2∠EBD=52°
⇒∠EBD=26°
Therefore, the measure of ∠EBD from the given figure is 26°.
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Given m(x) = |2x - 91, find x when m(x) = 15.
The value modulus functions of x are found as 12 and -3.
What is defined as the modulus functions?A modulus function returns the magnitude of a number regardless of its sign.
It's also known as the absolute value function. The modulus function, signified by |x| in mathematics, gives the modulus of a real number x. It returns a non-negative value for x. The modulus or absolute value of the a number is often recognized as the number's distance from the origin or zero.The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:
For x is positive, then f(x) = xFor x = 0, then f(x) = 0For x < 0, then f(x) = -xfor the given function;
m(x) = |2x - 9|, where m(x) = 15.
then,
15 = |2x - 9|
Open the modulus function in its corresponding positive and negative values;
15 = 2x -9 and also 15 = -(2x - 9).
Solving both;
15 = 2x -9
2x = 15 + 9
2x = 24
x = 12
and, the second functions;
15 = -(2x - 9)
15 = -2x + 9
-2x = 15 - 9
x = -3
Thus, the solution for x are 12 and -3.
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The correct question is-
Given m(x) = |2x - 9|, find x when m(x) = 15.
PLEASE HELP (at least c)
A machinist is required to manufacture a circular metal disk with area 715cm squared
. Give your answers in exact form. Do not write them as decimal approximations.
a) What radius, x , produces such a disk?
b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
c) Using the ε / δ definition of a limit, determine each of the following values in this context:
f(x)=
a=
L=
ε=
δ=
The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;
a) x = √(715/π) cm
b) The range for the radius is; [√(710/π) cm, √(720/π) cm]
c)
f(x) = π•x²
L = 715 cm²
E = 5 cm
d = √(5/π) cm
How can the variables in the [tex] \epsilon / \delta [/tex] definition of limits be found?Area of the circular metal disk = 715 cm²
a) Required; The disk radius
Let A represent the area of the disk and let x represent the radius, we have;
A = π•x²
Therefore;
x = √(A/π)
Which gives;
x = √(715/π) cm
b) Allowed area error tolerance = ± 5 cm²
The allowed range of values for the area is therefore;
710 ≤ A ≤ 720Which gives;
√(710/π) ≤ x ≤ √(720/π)
c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;
[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]
Which gives;
f(x) = A = π•x²
L = 715
|f(x) - L| < E = 5 cm
|x - √(715/π)| < d = √(5/π)
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jeremy has 25 marbles, he gives 5 to his teacher, then he give five to his best friends. once he gets home he gives 5 to his sister right the terms in order to determine how many marbles he has
Answer: 25 - 15 = 10
Step-by-step explanation:
–6.4 − 7.2 what is the an
Answer:
-13.6
Step-by-step explanation:
Use the keep change change method when subtracting negative number. So, it would look like this: -6.4 + -7.2 = -13.6.
After adding them, just add a negative sign in front of your answer since you're adding two negative numbers.
Let me know if you don't understand or need more explanation.
If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
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A recent report stated that less than 35 percent of adult residents in a certain city will be able to pass a physical fitness test. Consequently, the city's Recreation Department is trying to convince the City Council to fund more physical fitness programs. The council is facing budget constraints and is skeptical of the report. The council will fund more physical fitness programs only if the Recreation Department can provide convincing evidence that the report is true. The Recreation Department plans to collect data from a sample of 185 adult residents in the city. A test of significance will be conducted at a significance level of a= 0.05 for the following hypotheses.
H0:p=0.35
Ha:p<0.35
where p is the proportion of adult residents in the city who are able to pass the physical fitness test.
The Recreation Department recruits 185 residents who volunteer to take the physical fitness test. The test is passed by 77 of the 185 volunteers, indicating that more than 35 percent of the city is in shape. Describe the primary flaw in the study described in part and explain why it is a concern.
The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.
The given hypothesis are,
[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]
Type II error is accepted in null hypothesis when it is not actually true.
In the given question null hypothesis p= 0.35
The conclusion is that in the given sample proportion is not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.
Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65
[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]
Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]
Solving for Z using the given values we get :
Z=1.99
Now 1.99>-1.65
So we accept [tex]H_0[/tex]
The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.
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4. The
sum of a number z and 16.2 is at most 30.
z + 16.2 ≤ 30
z ≤ 13.8
d= √(7₂ (x2 − ₁)² + (Y2 − ₁)² Evaluate d if (x1, y₁) = (-3, 4) and (x2, Y2) = (−2, 4).
answer this question
Answer: 166
We’ll give it your best mate keep it up
Suppose that the height of the slide is 2 feet, when x = 20. what is t brainlyhe average rate of change over the entire slide?
The average rate of change over the entire slide is 0.01 per unit.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line
Given,
the height of the slide = 2 feet
the value of x is 20 units
The average rate of change is the slope of the line
Therefore, the rate of change over the entire slide will be,
Rate of change = 2/20 = 0.1 feet per unit
Hence, the rate of change is 0.1 feet per unit.
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Rewrite literal equations.
Solve for m:
e=mc squared.
Answer:
m = e/c
Step-by-step explanation:
What is the slope of the line? Coordinate grid ranging from negative five to five on the x and y axes. A line passes through points (negative two, one) and (two, negative one). Responses −12 negative fraction 1 over 2 end fraction 2 2 12 1 half −2
The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
The Slope(m) of the line is defined as the change in y coordinate with respect to change in x coordinate ,
The Slope(m) of line passing through the points A(a,b) and B(c,d) is calculated using the formula
m = (d-b)/(c-a)
In the question
it is given that the line passes through the points (-2,1) and (2,-1) .
name the points as A(-2,1) and B(2,-1) .
the values are a=-2 , b=1 , c=2 , d=-1 .
Substituting the values in the formula of Slope we get
m = (-1-1)/(2-(-2))
= -2/(2 + 2)
= -2/4
= -1/2
Therefore , the slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
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Answer:
Step-by-step explanation:
The Slope of the line passing through the points (-2,1) and (2,-1) is -1/2 .
2.4z + 1.2z - 6.5 = 0.7
Answer: z = 2
Step-by-step explanation:
2.4z+1.2z-6.5=0.7
3.6z-6.5=0.7
3.6z=0.7+6.5
3.6z= 7.2
z=7.2/3.6
z=2
Consider any subset of the real numbers that consists only
of negative numbers. What can you conclude about whether the set is closed
under multiplication?
Explain.
Answer: Not closed under multiplication
====================================================
Explanation:
Pick any two negative numbers that you want.
I'll go for -3 and -5
They multiply to (-3)*(-5) = 15 which is a positive number. The two negatives cancel out to form a positive.
This is an example to show that multiplication is not closed for this subset of the real numbers. We consider it to be closed if the result of any two negative numbers multiplied would get us some other negative number.
In a sense, this is the complete opposite of closed since the result is never negative.
Here's an example of a set that is closed under multiplication: integers
Picking any two integers and multiplying them together gets us some other integer. Each item is found in the same set, i.e. the result never leaves or goes outside the set.
Please help with algebra!
Answer:
[tex]x=29[/tex]
Step-by-step explanation:
These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].
Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]
Hope this helps!