Answer:
D) -8
Step-by-step explanation:
If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)
Hopefully you find this useful :)
Answer: -8
Step-by-step explanation: lets take the unknown number as x,
so we have, 2 + x= -6
by using transposition method, x= -6-2( positive becomes
negative when transpositioning)
so, x= -8
please simplify this equation
Answer:
The answer is -24√35
Step-by-step explanation:
-6√7 × 4√5
Using the rules of surds multiply the numbers outside the square root and the ones inside
That's
(-6×4)(√ 7 × √5)
= - 24√7×5
= -24√35
Hope this helps you
Answer:
-24√35
Step-by-step explanation:
-6√7 × 4√5
-6 × √7 × 4 √5
-6 × 4 × √7 × √5
-24 × √(7 × 5)
-24√35
if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree
Answer:
x = 45 degrees
Step-by-step explanation:
The measure of exterior angles is equal to the sum of non-adjacent interior angles
=> 2x = x+45
=> 2x-x = 45
=> x = 45 degrees
Answer:
45 degrees.
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles.
2x = x + 45
2x - x = 45
x = 45.
If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.
Answer:
when a number is divisible by 9, then the number is divisible by 3.
Step-by-step explanation:
They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:
when a number is divisible by 9, then the number is divisible by 3.
Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .
Answer:
a
Step-by-step explanation:
Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]
[tex] \frac{8}{EH} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3*8 = 2*EH [/tex]
[tex] 24 = 2*EH [/tex]
Divide both sides by 2 to make EH the subject of formula
[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]
[tex] 12 = EH [/tex]
The length of side EH = 12 m
Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplication.
Answer: (10 - 3) x 25 = 175
Step-by-step explanation:
10 - 3 = 7
7 x 25 = 175
What is the equation of the line ( 1,9 ) ( 0,0 )
Answer:
y = 9x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (0-9)/(0-1)
-9/-1
9
The y intercept is 0 since the y value is 0 when x=0
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 9x +0
y = 9x
QUICK HELP HURRY! Simplify the expression. [tex]10^{-2} +10^{-1}[/tex]
Answer:
11/100 or 0.11
Step-by-step explanation:
10^-2 is also equal to 1/100
10^-1 is also equal to 1/10
Simply add them now:
1/100+1/10
= 1/100+ 10/100
= 11/100=0.11
Hope this helped!
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answer:
7
Step-by-step explanation:
:)
of the following fractions which is 50% greater than 3/7
Answer:
9/14
Step-by-step explanation:
3/7 + 50%×3/7 =
= 3/7 + 1/2×3/7
= 3/7 + 3/14
= 6/14 + 3/14
= 9/14
The required fraction which 50% grater than 3/7 is 9/14.
Fraction to determine that 50% grater than 3/7.
Fraction of the values is number represent in form of Numerator and denominator.
Here, fraction = 50% grater than 3/7
= 1.5 x 3/7
= 4.5/7
= 45/70
= 9/14
Thus, The required fraction which 50% grater than 3/7 is 9/14.
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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of his shadow when he is 25 ft from the street light
Answer:
[tex]-\frac{10}{3}ft/s[/tex]
Step-by-step explanation:
We are given that
Height of man=5 foot
[tex]\frac{dy}{dt}=-10ft/s[/tex]
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
[tex]\frac{20}{5}=\frac{x+y}{x}[/tex]
[tex]4=\frac{x+y}{x}[/tex]
[tex]4x=x+y[/tex]
[tex]4x-x=y[/tex]
[tex]3x=y[/tex]
[tex]3\frac{dx}{dt}=\frac{dy}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s[/tex]
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=[tex]-\frac{10}{3}ft/s[/tex]
Please I am in need of help if you go solve all my questions o will mark brainliest
Answer:
top left
Step-by-step explanation:
Consider finding points on the graph using the equation.
x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept
Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1
x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )
x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )
These points lie on the top left graph
What is the definition of PEMDAS
Answer:
it's the step by step proceedure you use when solving an equation. Parentethese (do this first)
Exponents (take care of that after parentheses)
Multiplication
Division
Addition
subtraction (always the last step in the problem)
Step-by-step explanation:
Answer:
PEMDAS = ( ), Exponents, Multiplication, Division, Addition, Subtraction
Step-by-step explanation:
essentially, PEMDAS are an order of a rule in which you have to follow.
1. P = Parenthesis/ ( )
2. E= Exponents/ ²
3. M= Multiplication/ x
4. D= Division/ ÷
5. A= Addition/+
6. S= Subtraction/-
Each goes in order, and if there isn't one of the steps included in the math problem you are given, then its better to move on to the next uwu
I hope this was helpful owo
Find the inverse of the function Find the inverse of the function f(x)=2x-4
Step-by-step explanation:
firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.
The inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
Important information:
The given function is [tex]f(x)=2x-4[/tex].We need to find the inverse of the given function.
Inverse of a function:Substitute [tex]f(x)=y[/tex].
[tex]y=2x-4[/tex]
Interchange [tex]x[/tex] and [tex]y[/tex].
[tex]x=2y-4[/tex]
Isolate [tex]y[/tex].
[tex]x+4=2y[/tex]
[tex]\dfrac{x+4}{2}=y[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]\dfrac{x+4}{2}=f^{-1}(x)[/tex]
Thus, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].
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(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21
Answer:
b. 9
Just use PEMDAS
The probability that Hugo is on time for a given class is 71 percent. If there are 57 classes during the semester, what is the best estimate of the number of times out of 57 that Hugo is on time to class? Round your answer to the nearest integer.
Answer:
40
Step-by-step explanation:
P(Hugo is on time for a given class)=71%=0.71
If there are 57 classes during the semester
The number of times Hugo is on time to class during the semester will
=0.71 X 57
=40.47
[tex]\approx 40 $ (correct to the nearest integer.)[/tex]
Hugo is on time to class approximately 40 out of 57 times.
15. Over what range of angles does the value of sin(O) consistently increase?
A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°
Answer:
D. 0° to 90°
Step-by-step explanation:
If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.
Hence option D is correct.
Alternatively
we see that
sin 0 = 0
sin 30 = 1/2
sin 45 = 1/[tex]\sqrt{2}[/tex]
sin 60 = [tex]\sqrt{3} /2[/tex]
sin 90 = 1
Thus, we see that value of sin is increasing from 0 to 90
now lets see value of sin from 90 to 180
sin 90 = 1
sin 120 = [tex]\sqrt{3} /2[/tex]
sin 135 = 1/[tex]\sqrt{2}[/tex]
sin 150 = 1/2
sin 180 = 0
Thus, we see that value of sin is decreasing from 90 to 180.
find two complex numbers whose sum is 12 and whose product is 37.
Answer:
6 ± i and 6 ± i
Step-by-step explanation:
Let x be the first number.
Let y be the second number.
x + y = 12
x × y = 37
Solve for x in the first equation.
x = 12 - y
Put x as 12-y in the second equation and solve for y.
(12- y)y = 37
12y - y² = 37
- y² + 12y - 37 = 0
y = 6 ± i
Put y as 6 ± i in the first equation and solve for x.
x + 6 ± i = 12
x = 12 - 6 ± i
x = 6 ± i
Helppp Please!!!!!!!!!
Answer:
B. 17°.
Step-by-step explanation:
To solve the problem, we can use SOH CAH TOA.
SOH = Sine, Opposite divided by Hypotenuse
CAH = Cosine, Adjacent divided by Hypotenuse
TOA = Tangent, Opposite divided by Hypotenuse
In this case, we are given both the opposite and the hypotenuse, so we will use sine to solve it.
sine(N) = 4 / 14
sine(N) = 2 / 7
N = sec(2/7)
N = 16.6015496, which is about B. 17°.
Hope this helps!
A train leaves Station A traveling west at 60 miles per hour for 7 hours, and then continues to travel west on the same track for 3 hours at 55 miles per hour, where it stops at Station B. How far is Station A from Station B?
Answer: 585 miles
Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= 585
60 miles per hour x 7 hours = 420 miles
55 miles per hour x 3 hours = 165 miles
Total miles = 420 + 165 = 585 miles
A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent
Answer:
9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22
Step-by-step explanation:
Unit price of any product is given by
unit price = weight of product/ price of product
Given sizes
A
13.5 ounces bottle cost $2.98
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22
Unit price for this size is $.022
B
9.2 ounce bottle cost $6.12
cost of 1 ounce of shampoo for this size = cost price/weight of shampoo
cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66
Unit price for this size is $0.66
As $0.22 is less than $0.66 thus,
9.2 ounce bottle cost $6.12 is better buy.
Please Help!! And Fast!! Will give Brainliest to the Best Answers (75 points) --- The historical society hired an artist to restore a stained glass window panel. After studying the original drawings, the artist knows that panel ABCD is square. He also knows that FG is a perpendicular bisector of BC and BC ≅ BE. However, in order to restore the panel to match its original specifications, he needs to know the measure of ∠BED. Given: ABCD is a square FG ⊥ BC BC ≅ BE Step 1: Draw EC on the diagram. Use the given information to explain how you know △EGC ≅ △EGB. Add the appropriate notation to the diagram. (5 points) Step 2: Building on the information from Step 1, use the spaces below to prove that m∠BEC = 60°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Statements Reasons 1. △EGC ≅ △EGB 1. Given 2. EB ≅ EC 3. Given 4. EB ≅ EC ≅ BC 5. m∠BEC = 60° Step 3: Next, use the spaces below to prove the measure of ∠ECD = 30°. Add the appropriate notation to the diagram. (5 points; 4 points for the proof, 1 point for the diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° Prove: m∠ECD = 30° Statements Reasons 1. △BEC is equilateral 2. m∠GCE = 60° 3. ABCD is a square 4. Substitution Step 4: Find m∠BED. Show your work and explain your reasoning. Add the appropriate notation to the diagram. (6 points; 4 points for showing work and explaining reasoning; 1 point for final answer; 1 point for diagram) Given: ABCD is a square FG ⊥ BC BC ≅ BE △ECG ≅ △EBG △BEC is equilateral m∠BEC = 60° △ECD is isosceles Find: m∠BED
Answer: I had the same assingment and came here looking for answers myself. When I saw the only anwser was 20 (Which is wrong) I decided I would try my best and If I got it right come back here and share the correct answers for future students.
Just look at the PDF attached below, I somehow got a 50/50.
Step-by-step explanation:
Statements Reasons
1. △EGC ≅ △EGB 1. Given
2. EB ≅ EC Supposition
3. <EGC ≅ <EGB Given
4. Equilateral Triangle EB ≅ EC ≅ BC
5. Equilateral Triangle m∠BEC = 60°
Statements Reasons
1. △BEC is equilateral AAS≅AAS postulate (angle angle side)
2. m∠ GCE = 60° m∠ BEC = 60° Equilateral Triangles
3. FG ⊥ BC & FG ⊥ AD ABCD is a square
4. m∠ECD + m∠ BEC = 30°+60° Substitution (right angles)
m∠DCG = 90° right angles of a square
m∠BED= 135°
Statements Reasons
1. △ECG ≅ △EBG Given
2. ABCD is a square Given
3. BC ≅ BE Given
4. AB ≅ DC ABCD is a square
5. m∠ABE ≅ m∠DCE Outside angles of congruent
triangles △EGB≅ △EGC
5. △AEB≅ △DEC S.S.A ≅ S.S.A. ( side side angle) Postulate
△BEC is equilateral m∠BEC = 60°
△ECD is isosceles m CD= mCE
∠ECD = 30° m∠BEC = 60°
As m∠BEC +∠ECD = 30°+ 60° right angle of the square ABCD
The equal sides of the isosceles triangles are called the legs and the unequal third side is called the base.
Angles opposite to the equal sides of the isosceles triangle must also be equal.
As the third angle is 30° so the other two angles must be 75° each to make a total of 180°.
m∠BED= m∠BEC + m∠CED
= 60° + 75°= 135°
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which of the following sets of ordered pairs describes a function?
(A) {(2,3),(2,5),(4,7)}
(B) {(2,1),(4,3),(5,7)}
(C) {(3,-2),(2,4),(3,6)}
(D) {(-1,4),(-1,5),(2,5)}
Answer:
(B) {(2,1),(4,3),(5,7)}
Step-by-step explanation:
If the same x value goes to 2 different y values, it is not a function
(A) {(2,3),(2,5),(4,7)} the x value 2 goes to 3 and 5
(B) {(2,1),(4,3),(5,7)}
(C) {(3,-2),(2,4),(3,6)} 3 goes to -2 and 6
(D) {(-1,4),(-1,5),(2,5)}-1 goes to 4 and 5
2.5 – 1.2x < 6.5 – 3.2x?
Answer: x<2 or xϵ(-∞; 2)
Step-by-step explanation:
Add +3.2x to both sides of inequality:
2.5-1.2x+3.2x<6.5-3.2x+3.2x
2.5+2x<6.5
Deduct 2.5 from both sides of inequality:
2.5-2.5+2x<6.5-2.5
2x<4
Divide both sides of inequality by 2
2x/2<4/2
x<2 or xϵ(-∞; 2) ( the answer can be written in 2 ways)
Answer:
2.5 - 1.2x < 6.5 - 3.2x
add 3.2x to both sides;
2.5 + 2x < 6.5
minus 2.5 from both sides;
2x < 4
x < 2
Step-by-step explanation:
This is the exact same as doing a linear equation, so brush up on this skill.
College students spend $183 more each year on textbooks and course materials than on computer equipment. They spend a total of $819 on textbook and course materials and equipment each year. How much is spent each year on textbooks and course materials and computer equipment?
Answer:
Textbooks: $506Course Materials and Electronics: $323Step-by-step explanation:
First, we need to divide the amount into 2 equal parts:
$819/2 = $414.50
Now, because they spent $183 more on textbooks, we add half of that to $414.50.
$414.50 + $91.50 = $506
$414.50 - $91.50 = $323
To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.
$323 + $183 = $506 ✅
Textbooks: $506Course Materials and Electronics: $323I'm always happy to helpIn a random sample of high school seniors, the proportion who used text messaging was 0.88. In a random sample of high school freshmen, this proportion was 0.68. Researchers found the difference in proportions to be statistically significant and obtained one of the following numbers for the p-value. Which is it?
a. 1.5
b. 0.02
c. 0.78
d. 0.30
Answer:
Option B - 0.02
Step-by-step explanation:
In this question, the p-value is used to tell us the probability that a difference of (0.88 – 0.68) which is 0.2 or greater would occur in the distribution of simulated differences. This is created done with the assumption that there is no true difference in the two populations.
Due to the fact that the researchers found the difference in proportions to be statistically significant, hence these results would rarely occur due to just the sampling variability and thus the p-value must be small.
Looking at the options, the p-value in Option (B) will be the correct response,l as it indicates that a difference of 0.2 or more would only occur about 2% of the time by chance alone provided the proportion who text were the same in the population of seniors and the population of freshmen. This resonates well with the claim that the difference in proportions is statistically significant.
Thus, Option B is the correct answer.
Find the length of the given segment.
Find LN
Answer:
x+10=1/2*(x+2)
2x+20=x+2
20-2= x-2x
x= -18
now,
LN= X+10
= -18+10
= -8
1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
B. A residual is a point that has a strong effect on the regression equation.
C. A residual is a value that is determined exactly, without any error.
D. A residual is the amount that one variable changes when the other variable changes by exactly one unit.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the______of the residuals is the V possible sum.
Answer:
1. what is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
Step-by-step explanation:
1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
A residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. Mathematically -
[tex]$Y_i=f(X_i, \beta)+e_i[/tex]
Given is residual.
The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y. Mathematically -
[tex]r = x-x_{0}[/tex]
Therefore, a residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
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Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)
Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses
Answer:
Step-by-step explanation:
Hello,
[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=\dfrac{-2}{f^{-1}(x)}-1\\\\<=>f^{-1}(x)(x+1)=-2\\\\<=> f^{-1}(x)=\dfrac{-2}{x+1}[/tex]
and this is g(x)
so they are inverses
Hope this helps
Which is the best description for the graph?
The graph is increasing everywhere
The graph is decreasing everywhere
The graph is increasing then decreasing
The graph is decreasing then increasing
Answer:
D
Step-by-step explanation:
It's decreasing then once it hits the origin, it starts to increase again. I hope this helps you:)
Answer:
D
Step-by-step explanation:
A man bought a pair of jeans for $23.00 a shirt for $14.00 and two ties for $7.98 each. What was the total cost of his clothing ?
Answer:
$52.96
Step-by-step explanation:
To find the total cost of his clothing, add up the prices of everything he bought.
Jeans: $23.00
Shirt: $14
Ties: 2 ties for $7.98 each.
Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98
2*$7.98 = $15.96
Add all the prices together.
jeans + shirt + ties
$23 + $14 + $15.96
$37 + $15.96
$52.96
The total cost of his clothing is $52.96
Answer:
total cost=52.96
Step-by-step explanation:
Things he bought:
jeans for $23.00
a shirt for $14.00
two ties for $7.98 each
the total const would be the sum of all his clothes
which is
jeans for $23.00
+shirt for $14.00
+one tie for $7.98
+one tie for $7.98
_______________
total cost=52.96
HOPE IT HELPS :0
PLEASE MARK IT THE BRAINLIEST!