Answer:
-1
Step-by-step explanation:
(-3 , 12) & (4, 5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]
A gum ball machine has 6 red gum balls, 3 green gum balls, and 5 blue gum balls. What is the probability that the next gum ball that comes out will be red?
Answer:
Step-by-step explanation:
P(red gum ball)= 6/14=3/7
6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.
P(red gum ball)=3/7
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
apartment is deducted every month for a year. After a year the balance is $7900
(Assume no other transactions occur on the account)
Answer:
$1,650
Step-by-step explanation:
First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650
A container in the shape of this cuboid holds 2 litres of water.
The container has a square base.
Its height is double the length of each edge on its base.
Work out the height of the container, in cm.
Given:
Volume of cuboid container = 2 litres
The container has a square base.
Its height is double the length of each edge on its base.
To find:
The height of the container.
Solution:
We know that,
1 litre = 1000 cubic cm
2 litre = 2000 cubic cm
Let x be the length of each edge on its base. Then the height of the container is:
[tex]h=2x[/tex]
The volume of a cuboid is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get
[tex]2000=x\times x\times 2x[/tex]
[tex]2000=2x^3[/tex]
Divide both sides by 2.
[tex]1000=x^3[/tex]
Taking cube root on both sides.
[tex]\sqrt[3]{1000}=x[/tex]
[tex]10=x[/tex]
Now, the height of the container is:
[tex]h=2x[/tex]
[tex]h=2(10)[/tex]
[tex]h=20[/tex]
Therefore, the height of the container is 20 cm.
Find the final price of a $849.99
laptop with 6% sales tax.
Answer:
$900.9
Step-by-step explanation:
Find the final price of a $849.99
laptop with 6% sales tax.
Given data
Price= $849.99
Tax = 6%
Let us find the amount of the tax
=6/100*849.99
=0.06*849.99
=$50.9994
Now the final price is
=50.9994+849.99
=$900.9
CAN SOMEONE PLEASE HELP ME FAST?
Answer:
whats the question
Step-by-step explanation:
I I don’t understand this could someone try it’s geometry
Answer:
1)BX = 20
2)MT = 23.3
3)QD = 14.4
4)SN = 23.5
5)XZ = 36
6)DF = 24
7)BD = 43.8
8)HZ = 12
9)UW = 40
10)CS = 11.6
Step-by-step explanation:
1) BX = 1/2(VX) = 40/2 = 20
2)MT = 1/2(RT) = 46.6/2 = 23.3
3) QD = BQ = 14.4
4)LS + SN = 23.5
5)XH = 1/2(XZ) = 18 * 2 = 36
6)DG = 1/2(DF) = 12 * 2 = 24
7)BJ = 1/2(BD) = 21.9 * 2 = 43.8
8)XH = HZ = 12
9)UW = 2(UJ) = 20 * 2 = 40
10) CS = 1/2(US) = 23.2/2 = 11.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente. ¿Al cabo de una semana cuántas personas han participado en la cadena? ¿Finalizado el quinto día cuánto dinero se ha donado?
Answer:
Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Step-by-step explanation:
Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:
3^7 = X
2,187 = X
(3^5) x 5000 = X
243 x 5000 = X
1,215,000 = X
Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help
20 divided by 34 HEEEEELPPPPPPPPPPP
Answer:
0.58823529411
Answer:0.8
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(7,-1) and (9,-9)
Answer:
[tex]\sqrt{68}[/tex]
Step-by-step explanation:
(7 , -1) = (x1 , y1)
(9 , -9) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 7)^2 + (-9 - (-1))^2}[/tex]
=[tex]\sqrt{2^2 + (-9 + 1)^2}[/tex]
=[tex]\sqrt{4 + (-8)^2}[/tex]
=[tex]\sqrt{4 + 64}[/tex]
=[tex]\sqrt{68}[/tex]
Answer:
[tex]Distance = \sqrt{ 68 } \\\\or \\\\Distance =2 \sqrt{17}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = ( 7 , - 1 ) \ and \ (x_2, y _ 2 ) = ( 9 , - 9 )\\\\\\Distance = \sqrt{(x_2 - x_ 1)^2 + (y_ 2 - y_ 1)^2}\\\\[/tex]
[tex]= \sqrt{(9 - 7)^2 + ( -9 --1)^2} \\\\=\sqrt{2^2 + ( -9 + 1)^2 }\\\\=\sqrt {4 + (-8)^2 }\\\\=\sqrt{ 4 + 64 }\\\\=\sqrt{68}\\\\= \sqrt { 4 \times 17}\\\\=\sqrt{2^2 \times 17}\\\\=2 \sqrt{17}[/tex]
Solve the equation. 5 = g/8 what does g equal
Answer:
Step-by-step explanation:
multiply both sides by 8
do over and write g=8x5
solve 8x5=40
g=40
Find the missing angle
Answer:
x = 72.09555249
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan x = opp / adj
tan x = 65/21
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 ( 65/21)
x = 72.09555249
Solve the system by graphing y=-2x + 2
y=-2x - 2
Answer:
hope it helps...
have a great day!!
Giving brainly help find Find m∠H.
The required measure of the angle m∠H is given as 94°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12
Now,
m∠H = 8x - 2
= 8 (12) - 2
= 94°
Thus, the required measure of the angle m∠H is given as 94°.
Learn more about Angles here:
https://brainly.com/question/13954458
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find the eighth term of an arithmetic sequence if the first term is 5 and the common difference is 6
Answer:
47
Step-by-step explanation:
Formula for finding nth term of an arithemetic sequence is:
tn = t1 + (n-1) d
Where t1 is the first term, n is the specific term, and d is the common difference.
Plug numbers into the formula and solve:
t8 = 5 + (8-1)6
t8 = 47
Use and method to find the total number of outcomes in each situation.
choosing one math class from Algebra and Geometry and one foreign language
class from French, Spanish, or Latin
===========================================================
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Answer:
Explanation:
Think of a table that has 2 rows and 3 columns.
Each row represents a different math class (either Algebra or Geometry).
Each column represents a different foreign language class (French, Spanish or Latin).
This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.
In short, all we have to do is multiply the number of classes for each subject.
Step-by-step explanation:
What is the volume of the prism?
Answer:
[tex]volume \: of \: the \: prism = 4 \frac{1}{2} \times 2 \ \frac{1}{2} \times 6 \\ = \frac{9}{2} \times \frac{5}{2} \times 6 \\ = 67.5 {cm}^{3} [/tex]
Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)
Answer:
y = -1x + 2
Step-by-step explanation:
y = -1x + b
5 = -1(-3) + b
5 = 3 + b
2 = b
y = -1x + 2
You are riding in a hot air balloon on Valentine’s Day withyour sweetheart. As you get ready to set your balloon downyou notice that while your balloon is 500 ft above ground, your friends balloon is 800 ft above ground. The plan is for both balloons to descend straight down. Your balloon willland right at the edge of the lake below, but it appears thatyour friends will be pretty far away. You can see a reflectionof their balloon right in the middle (direct center) of the 1200 ft wide lake below.How far away from the lake will your friends touch down?
(Don't mind my scribbles maybe they will help, maybe not)
Answer:
Try 750 ft?
Step-by-step explanation:
Proportion:
800/500 = 1,200/x
Solve:
1,200 / 800 = 1.5
1.5 * 500 = 750
Hope this helped!
Please mark as brainliest!
Use the diagram to find cos x as a fraction
in simplest form.
A scatter plot with a line is shown below.
Which statement is most likely correct about the line.
Calculate the measure of angle D:
Answer:
The answer is 32
Step-by-step explanation:
A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.
Answer: 32
Step-by-step explanation:
Subtract the angle 58 and 90 since it is a right angle
PLEASE HELP!! this is due soon and i rlly need help
explanation = brainliest
The radius of a circle is 3 kilometers. What is the area of a sector bounded by a 90° arc?
give the exact answer in simplest form.
Answer:
Step-by-step explanation:
r = 3 km
Ф = 90°
Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]
[tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]
= 7.065 sq.km
Answer:
Solution given:
r=3km
area of sector bounded by a 90° arc=90°/360°*πr²
=¼*π*3²
=9/4 π or 7.068km²
is a required answer
Maggie started collecting teacups on her 13th birthday when she was given 4 teacups. She has purchased a new teacup every month since then. How many teacups will she
have on her 17th birthday?
A.52
B.64
C.38
D.48
Answer:
A. 52
Step-by-step explanation:
Find how many months are in 4 years, since there are 4 years between her 13th and 17th birthdays.
There are 12 months in a year, so multiply 12 by 4:
12(4)
= 48
So, there are 48 months in 4 years. Since she buys a new teacup every month, this means she will have bought 48 more teacups.
Add this to the 4 teacups she got on her 13th birthday:
48 + 4
= 52
So, on her 17th birthday, she will have A. 52 teacups
can someone do my summer school work??
Answer:
no i can't do all of it, but i can help you do it
i just won't do it for you
PLEASE HELP!
*multiple choice*
List the sides in order from shortest to longest.
Answer:
I think it's a
I'm not that sure tho
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
A. Find the center of the circle
B. Find the radius. if your answer is not an integer, express it in radical form.
C. Write an equation for the circle
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
f(x) = x² , g(x) = x+1 find gof (2) , fog (2)
Answer:
Explanation:
Hey there!
Here;
f(X) = x²
and g(X) = X+1
To find: gof (2) and fog (2)
For gof (2),
gof = g{f(X)}
= g (x²)
= x²+1
Then;
gof(2) = 2²+1
= 4+1
= 5
Therefore, gof (2) is 5.
For fog(2),
fog (X) = f{g(X)}
= f(X+1)
= (x+1)²
= x²+2x+1
= x²+2x +1
Then;
fog(2) = 2²+2*2+1
= 4+4+1
= 9
Therefore, fog(2) = 9.
Hope it helps!
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct?
Answer:
Helena is correct.
Step-by-step explanation:
The slope intersept form of the line is
y = m x + c
where, m is the slope and c is the intersept.
The point slope form of the equation is
[tex]y - y'= \frac{y''-y'}{x''-x'}\times (x-x')[/tex]
So, if there are two points are given, the equation of line is found by the point slope form.
So, Helena is correct.
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while point E is the point of intersection between segment AG and segment DF.
Prove ΔABC ∼ ΔGEF.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE[/tex]
By vertical angles:
[tex]\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB[/tex]
Hence, by substitution:
[tex]\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB[/tex]
Then by Angle-Angle Similarity:
[tex]\Delta ABC \sim \Delta GEF[/tex]
