Answer:
Step-by-step explanation:
[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]
[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]
[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]
Find the x intercept for the graph, 3x-14y+12=0
An angle with a measurement of 90 degrees is called?
Answer:
A right angle
Step-by-step explanation:
Answer:
Right angle. Its angle is in the corner and measured 90 degrees.
Step-by-step explanation:
The probability of getting a red gumball from a gumball machine is 1/8. The probability of getting a red piece of candy from a candy machine is 1/6. If both a gumball and a piece of candy are purchased, what is the probability that both are red?
Answer: 1/48
Step-by-step explanation: equation: 1/8x1/6
you have to multiply both numerators together (1x1)=1 then you multiply the denominators together (8x6)=48. you can't simplify it so your answer is 1/48
PLEASEEEE HELP!!!! (Multiplying/Dividing Fractions Word Problems) An auto shop installed a new automatic system to do paint jobs for cars. The system can paint 6 cars in an hour. How long does it take to paint one car?
Answer:
10 minutes.
Step-by-step explanation:
Note the amount of minutes in an hour.
1 hour = 60 minutes.
The system can paint 6 cars in an hour. Divide 60 minutes with 6 cars:
60/6 = 10
Each car takes 10 minutes to get fully painted.
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All of the following operations are used to solve for X in the equation below except one. Which one is it ? 9x-2=4x+8 A. Addition B. Division C. Multiplication D. Subtraction
Step-by-step explanation:
9x - 2 = 4x + 8 → (9-4)x = 8 + 2 → 5x = 10 → x = 10/2 = 5
C. multiplication
Multiplication not used
sketch each graph of each line y=-7/3x+4
Answer:
Step-by-step explanation:
Point A is at (3,-8) and point B is at (5,-2.5). What is the midpoint of line segment AB?
Answer:
[tex]\displaystyle (4,-5.25)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(3, -8)
Point B(5, -2.5)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{3+5}{2},\frac{-8-2.5}{2})[/tex][Midpoint] Add/Subtract: [tex]\displaystyle (\frac{8}{2},\frac{-10.5}{2})[/tex][Midpoint] Divide: [tex]\displaystyle (4,-5.25)[/tex]Evaluate the expression for the given value of the variable 5 x (h + 3) for h = 7
what shape can be formed from the following net
Answer:
square pyramid
Step-by-step explanation:
Answer:
star
Step-by-step explanation:
Pls help this is due today Find the m
Answer:
angle XYZ = 118 degrees
Step-by-step explanation:
all interior angles of ma quadrilateral add up to 360 degrees.
W = 90 degrees
90 + 84 + (2x + 118) + (2x + 68) = 360
simplify:
4x = 0
x = 0
angle XYZ = 118 degrees
Janice buys 74 packs of gum in a variety flavors. She chooses twice as many packs of green apple gun as packs of spearmint gum and 6 fewer packs of cinnamon gun than packs of green apple gum. How many packs of spearmint gum does Janice buy?
Answer:
16 packs of spearmint gum
Step-by-step explanation:
Let x = no. of packs of spearmint gum
2x = no. of packs of green apple gum
2x - 6 = no. of packs of cinnamon gum
x + 2x + 2x - 6 = 74
5x - 6 = 74
5x = 80
x = 16 packs of spearmint gum
2x = 2(16) = 32 packs of green apple gum
2x - 6 = 32 - 6 = 26 packs of cinnamon gum
I am down help please
Answer:
180 degrees
Step-by-step explanation:
angle 1 = 90 degrees
angle 4 = angle 1 because they are vertical angles
360 - 90 - 90 = 180 degrees
A television originally cost t dollars, including tax. Ricardo purchased the television when it was on sale for 35% off its original cost. Which of the following expressions represents the final cost, in dollars, of the television Ricardo purchased?
A. t - 0.35
B. t + 0.65
C. 0.35t
D. 0.65t
The cost of the television Ricardo purchased is A = 0.65t , where t is the initial cost
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the initial cost of television be = t
Let the percentage of discount on television = 35 %
If the original cost of the television was t dollars, then the sale price would be 65% of the original cost, or 0.65t dollars (since the television is on sale for 35% off).
However, this sale price still includes tax, so we need to subtract the tax from the sale price to get the final cost.
Let's say the tax rate is r (as a decimal), then the final cost would be:
A = 1 - ( 0.35 )t
A = 0.65t
Hence , the expression that represents the final cost of the television that Ricardo purchased is (D) 0.65t
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How is basic math used in a business? Give me three examples.
Answer:
Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.
The question is : -8(5x-3)+2x
Answer:
-38 + 24
Step-by-step explanation:
-40x + 24 + 2x
= -38x + 24
You know the two legs of a right triangle. You also know the measure of one of the acute angles of the triangle. Could you use the given law or theorem to find the length of the hypotenuse? Select Yes or No for A-C.
A. Law of Sines (YES OR NO )
B. Law of Cosines (YES OR NO )
C. Pythagorean Theorem (YES OR NO )
Answer:
A (NO) B(YES) C(YES)
Step-by-step explanation:
Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.
Can someone help with this asap ?
Answer:
y=-(x+11)(x-23)
Step-by-step explanation:
y=-(x+11)(x-23)
use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive
i.e. -11 equals 11
thus (x+11)
then, the graph is concave down, so it is negative at the front
Dina started swimming at 3:33 P.M. She swam until 4:31 P.M. How long did Dina swim?
Answer:
1 hour and 38 minutes
or 98 minutes
Step-by-step explanation:
subtract
4:31-3:31=98 minutes
98-60=38 minutes
= 1 hour and 38 minutes
or
+98 minutes
Analyze the diagram below and complete the instructions that follow. The diagonals of kite KITE intersect at point P.
A.16 B.26 C.52 D.71
Find the like terms in the following.
Answer:
like terms =2x,-6x
.....
like terms =5y²,18y²
remaining are unlike terms.
Answer:
like term=2x-6x
like term=5y square-18y square
The value of a particular investment follows a pattern of exponential growth. In the year 2000, you
invested money in a money market account. The value of your investment t years after 2000 is
given by the exponential growth model A = 5900e0.059t By what percentage is the account
increasing each year?
A) 6.6%
B) 6.5%
C) 6.3%
D) 5.9%
Answer:
b
Step-by-step explanation:
The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
Answer:
21.3 m
Step-by-step explanation:
The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.
Answer:
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
Step-by-step explanation:
Confidence interval normal
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes
The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes
The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.
What is the solution of the inequality shown below X-3>7
Step-by-step explanation:
x-3>7 =>
x>10
hope this helps
a savings account increases from $200 to $212. what is the percent increase of the savings account?
Answer:
6% increase
Step-by-step explanation:
To find the percent increase, divide the difference by the original:
12/200
= 0.06
Multiply this by 100:
0.06(100)
= 6
So, the percent increase was 6%
ES LA OPERACION DE MOVER LOS EJES COORDENADOS EN EL PLANO COORDENADO A UNA POSICION DIFERENTE, MANTENIENDOLOS PARALELOS A LOS ORIGINALES Y EN EL MISMO SENTIDO
you post 2 vidoes online. In the first hour video a gets 7 views video b gets 9 times as many. how many more views does video b get?
What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
pls answer I'll mark u brainliest urgent
Answer:
a = 110
Please mark as brainliest if answer right
Have a great day, be safe and healthy
Thank u
XD
Answer:
A=110
that is what I think
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750