Answer:
D. y = 45x + 55
Step-by-step explanation:
If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;
when c1 = $190, t1 = 3
when c2 = $370, t2 = 7
c is the amount charged
t is the time taken
First thug is to get the slope;
slope = c2-c1/t2-t1
slope = 370-190/7-3
slope = 180/4
slope = 45
Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;
190 = 45(3)+c
190 = 135+c
c = 190-135
c = 55
Substitute into the standard form of the equation;
y = mx+c
y = 45x + 55
Hence option D is correct
the sum of three times a number x and nine"
Answer:
3x+9
Step-by-step explanation:
you are multiplying 3 and x because it says "three times a number x" which means 3x and you are adding it to 9 which is 3x+9.
Simply the expression 7y+4x+4-2x+8
bruh if you can help with algebra 2 please help
Answer:
what do you need?
Step-by-step explanation:
pictures would be nice
Answer:
yea sure whats the problem
It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
B.
3.6 hours
C.
5.4 hours
D.
7.2 hours
Answer:
it would be 8 hours.....
Step-by-step explanation:
im am a bit confused, why is that not an answer choice
What is the length of a segment with endpoints at (-3,4) and (4,4)
Answer:
The length is 8
Step-by-step explanation:
* Ms. Quintero has visited 16 of the 50 states. What percent of the states has she visited? KEY Part (is) Whole(of) % 100 Whole
A.25%
B.32%
C.16%
D.8%
Answer:
B. 32%
Step-by-step explanation:
16/50 = 32% lol
goodluck!
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
In the diagram, ABC is a triangle in which AB = 4 cm, BC = 6 cm and angle ABC = 150°. The line CX is perpendicular to the line ABX.
(i) Find the exact length of BX and show that angle CAB = tan^-1 (3/4+3√3)
(ii)
Show that the exact length of AC is √52 + 24√3 cm.
Part (i)
Angle ABC is 150 degrees. The angle CBX is supplementary to this, so,
(angleABC)+(angleCBX) = 180
angle CBX = 180-(angleABC)
angle CBX = 180-150
angle CBX = 30 degrees
Because of the right angle marker at point X, we can find that triangle CBX is a 30-60-90 triangle. This special type of right triangle has its hypotenuse twice as long as the short leg, which we'll call y. The long leg is equal to y*sqrt(3) units.
The diagram shows BC = 6 is the hypotenuse, so the short leg is y = 6/2 = 3. The longer leg is y*sqrt(3) = 3*sqrt(3) which is the distance from B to X.
In summary so far,
CX = 3
BX = 3*sqrt(3)
We have enough information to find the tangent of angle CAB, and then find the actual angle itself.
tan(angle CAB) = opposite/adjacent
tan(angle CAB) = (CX)/(AX)
tan(angle CAB) = 3/(4+3*sqrt(3))
angle CAB = arctan( 3/(4+3*sqrt(3)) )
I'm using arctan in place of tan^(-1) which is the same basic function, just different notation.
========================================================
Part (ii)
Focus on triangle AXC. The legs we found were
AX = 4+3*sqrt(3)
CX = 3
Use the Pythagorean theorem to find the hypotenuse AC
a^2 + b^2 = c^2
(AX)^2 + (CX)^2 = (AC)^2
(AC)^2 = (AX)^2 + (CX)^2
(AC)^2 = (4+3*sqrt(3))^2 + (3)^2
(AC)^2 = (4+3*sqrt(3))(4+3*sqrt(3)) + 9
(AC)^2 = 4(4+3*sqrt(3))+3*sqrt(3)(4+3*sqrt(3)) + 9
(AC)^2 = 16+12*sqrt(3)+12*sqrt(3)+27 + 9
(AC)^2 = 52+24*sqrt(3)
AC = sqrt( 52+24*sqrt(3) )
Note that AC is a length so AC is positive. We don't have to worry about the plus minus.
This is known as a nested radical since one square root is buried in another.
We can write that as [tex]AC = \sqrt{52 + 24\sqrt{3}}[/tex] if you're curious as to how that looks on paper.
Using your calculator, you should find that,
[tex]\sqrt{52+24\sqrt{3}} \approx 9.673118[/tex]
Mrs. Purple bought 3.5 yards of yellow fabric. She used ⅔ of the fabric to make a chicken costume. Then she used the remaining fabric to make plush banana toys for her seven dogs. How much fabric was used to make each banana?
Answer:
[tex]0.17\ \text{yards}[/tex]
Step-by-step explanation:
Total length of yellow fabric = 3.5 yards
[tex]\dfrac{2}{3}[/tex] of the yellow fabric was made to make a chicken costume.
So, the fraction of the yellow fabric used to make toys for her 7 dogs is
[tex]1-\dfrac{2}{3}=\dfrac{1}{3}[/tex]
The amount of fabric to make the 7 toys is
[tex]\dfrac{1}{3}\times 3.5=1.17\ \text{yards}[/tex]
Assuming that equal amount of fabric was used for 1 toy for 7 of her dogs each.
The amount of fabric used for 1 dog's toy is
[tex]\dfrac{1}{7}\times 1.17=0.17\ \text{yards}[/tex]
The amount of fabric used to make each banana is [tex]0.17\ \text{yards}[/tex].
please help me. i’ve been stuck on this test for 3 days and i need to get at least a 70% to pass
Answer:
D -5 less than or equal to y less than or equal to -1.
Step-by-step explanation:
the rang is the y-axis the equation has ys from -5 to -1 so -5to y to -1.
6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?
Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.
Need help please
What are the measures of angles B and D?
A. ∠B = 55°, ∠D = 55°
B. ∠B = 55°, ∠D = 125°
C. ∠B = 97°, ∠D = 97°
D. ∠B = 83°: ∠D = 97°
Answer:
One basic property of a parallelogram is that opposite angles have the same value. Hence angle B = angle D. (2n+15°) = (3n-5°). Then have one side for the unknown. The equation will be 3n=2n+15°+5°. To get the n, simplify the equation: 3n-2n = 20° or n = 20°. Afterwards substitute the value of n to the angles. Angle B = (2(20)+15), Angle D = (3(20)-5). Lastly, simplify the equations. Angle B = (40+15°) = 55° and Angle D = (60-5°)=55°. Therefore the value of angles B & D are both 55°.
Step-by-step explanation:
Temperatures have been falling steadily at 5°F each day. Which number
sentence shows how to find the change in temperature 7 days from today's
A)5 + 7 = 12°F
B)none of these
C)-5* 7 = -35°F
D)O 7-5 = 2°F
answer: none of these
T−7×−5 = Tn
Let T equal the present temperature
7 = the number of days
-5= the drop each day
Let Tn = the new temperature
raised the points and will mark u as brainliest please help.
Answer:
1. x = 102. x = -63. 944. x = 2Step-by-step explanation:
1. F and M are equal angles and sum of internal angles = 180, so
2(7x + 5) + 30 = 18014x + 10 + 30 = 18014x = 140x = 102. Triangle is equilateral as all angles are equal, so all sides are equal:
4x + 43 = -2x + 74x + 2x = 7 - 436x = -36x = -63. Isosceles triangle with equal angles of R and T:
4x + 7 = 7x - 20 (using values as per picture not text)7x - 4x = 20 + 73x = 27x = 9Angle S is
180 - 2(4*9 + 7)= 180 - 2(43) = 180 - 86 = 944. Angle 2 is supplementary with 156 as isosceles triangles and vertical angles are equal, therefore:
180 - 156 = 6 + 9x24 = 6 + 9x18 = 9xx = 2Simplify 2 x × − 3 x × − x
Answer:
[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]
Step-by-step explanation:
[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]
To replace the trees destroyed by typhoon Yolanda, the forestry department of Tagaytay has developed a ten-year plan. During the first year they will plant 100 trees. Each succeeding year, they will plant 50 more trees than they planted the year before.
Answer:
a. 1,000 trees
b. 3,250 trees
Step-by-step explanation:
a. How many trees will they plant during the fifth year?
b. How many trees will they have planted by the end of the tenth year?
Using the sum of an arithmetic progression formula
Sn = n/2 {2a+(n-1)d}
Where,
Sn = Sum of an n terms
n = number of terms
a = first term
d = common difference
a.
n = 5
a = 100
d = 50
S5 = n/2 {2a+(n-1)d}
= 5/2 {2*100 + (5-1)50}
= 5/2 {200+(4)50}
= 5/2{200 + 200}
= 5/2(400)
= 2,000 / 2
= 1,000
S5 = 1,000 trees
b. Sn = n/2 {2a+(n-1)d}
n = 10
a = 100
d =50
S10 = 10/2{2*100 + (10-1)50}
= 5{200 + (9)50}
= 5{200 + 450}
= 5(650)
= 3,250
S10 = 3,250 trees
Plz answer this math problem
Solve problems a,b,c,d,e,and f. With the graph
Answers:
a. f(-4)=2
b. f(0)=0
d. f(-5)=0
e. x when f(x)=-2 answer: 2
f. x when f(x)=0 answer: 0
Sorry, I can’t answer c. f(3)= because when x is three from the x-axis on the graph, the line that meets 3 from the x-axis doesn’t show a whole number y-coordinate on the graph :(
But I hope this helps and answers your question :)
I'm confused on how to do that?
Answer:
(8, 0), (12, 4), (16, 8)
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(20, 12)
(4, - 4)
m = [tex]\frac{-4-12}{4-20}[/tex] = 1
y - 12 = (1)(x - 20)
y = x - 8
y = 8 - 8 = 0
y = 12 - 8 = 4
y = 16 - 8 = 8
A 32-ounce package of a snack mix is 24 percent pretzel. How many ounces are pretzels? A. 0.706 B. 0.768 C. 7.06 or D. 7.68
Answer:
D.7.68
Step-by-step explanation:
100%= 32 ounces
24%= 24% x 32ounces = 768 ounces
100% 100
= 7.68 ounces
Start with a male and a female rabbit. After a month, they mature and produce a litter with another male and female rabbit. A month later, those rabbits reproduce and out comes — you guessed it — another male and female, who also can mate after a month. After a year, how many rabbits would you have?
Answer:
24 thereabouts
Step-by-step explanation:
Well every two months there are two new rabbits so I multiplied two and twelve. This got me twenty-four. I hope this helps! :) I don't know if this is right or not I attempted this in my head.
Answer:
The answer is D
Step-by-step explanation:
Took the test
What is the length of side A in centimeters?
Answer:
6
Step-by-step explanation:
Answer:
10 cm
Step-by-step explanation:
Which graph represents a proportional relationship?
Answer:
honestly i don't think it's either of these
Step-by-step explanation:
a proportional relationship goes through the origin and neither of these do
does anyone know this?
Answer:
2.4x10^-2
Step-by-step explanation:
since this number is a decimal you will use a negative number above the 10...
PLEASE HELPP. BRAINLIEST
As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation.
Answer:
12,670,000,000-I think if its moving right one
Step-by-step explanation:
Choose the linear equation written in slope-intercept
form that matches each graph.
Answer:
D
Step-by-step explanation:
y-intercept or "b":
the line touches the y-axis at -4
slope:
the line rises 1, runs 1 every time
equation:
the y-intercept of -4 combined with the slope of 1/1 is the equivalent of
y=1x/1-4 OR in a more simplified format: D, y = x - 4
Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints left parenthesis negative 1 comma 2 right parenthesis and left parenthesis 3 comma negative 3 right parenthesis.
A.(2,4) and (6,6)
B. (-2,2) and(6,-3)
C. (-2,4) and (6,-6)
D. (2,-1) and (-3,3
Answer:
i think its answer is option A
Can somebody help plz
I WILL GIVE YOU BRAINLIEST AND I WILL PAYPAL YOU 5 BUCKS, PLEASEE JUST SOMEONE ANSWER THIS QUESTION FOR ME
If a figure starts off in a Quadrant I and is reflected along the x-axis and then rotated 180 degrees about the origin, what quadrant will it land on?
Answer:
Quadrant 2
Step-by-step explanation:
It goes over the x axis and rotates 180 which is half a a circle.
Haha you don't got to pay someone to help you bro
O Perímetro de triângulo isósceles mede 24cm. Qual é a medida de comprimento dos lados congruentes sabendo-se que o lado não congruente mede 7cm de comprimento?
Answer:
La longitud de los lados congruentes =
B = 8.5cm
C = 8.5 cm
Step-by-step explanation:
El perímetro del triángulo isósceles mide 24 cm.
El lado no congruente mide 7 cm de largo.
Lados congruentes significa lados que son iguales o iguales entre sí.
El perímetro de un triángulo es =
Lado A + Lado B + Lado C
Por lo tanto,
24 = 7 cm + B + C
24 - 7 = B + C
17 cm = B + C
Los dos lados son congruentes,
B = C
Por lo tanto, 17 cm / 2
= 8.5 cm
La longitud de los lados congruentes =
B = 8.5 cm
C = 8.5 cm
What is the image of the point
(
1
,
−
4
)
(1,−4) after a rotation of
18
0
∘
180
∘
counterclockwise about the origin?
Answer:
The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)
Step-by-step explanation:
Rotation means that a point is being moved in clockwise or counterclockwise direction with some angle.
The rotation can be done in 90, 180, 270 degrees.
Given point is:
(1,-4)
When a point (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.
So for the given point the coordinates will become (-1,4)
Hence,
The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)