Question 1 (9 points)
Combine like terms.
10 - 3 - 2 + 4
After combing like terms, the simplified expression is
Blank 1:
Answer:
-19
Step-by-step explanation:
10-3-2+4
= -3 -2 +4 +10
= -10
Solve the equation using the Properties of Equality.
79 + 3 = 45
Step 1 out of 4:
7a + 3 - [ ] = 45- [ ]
Answer:
7a + 3 -3 =45 - 3
7a + 0 = 42
7a = 42
7a/7 = 42/7
a = 6
3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings out
every morning to train for the upcoming rocos. Hoppertunity is a horso
training for a 2.400 meter race and Dortmund is a horse training for an
1,800 meter race. In a given workout, Hoppertunity and Dortmund start
running at the same time. Dortmund runs twice as fast at Hoppertunity:
however, Hoppertunity starts 200 meters ahead of Dortmund. After 12.5
seconds, Dortmund catches up with Hopperlunily.
Letr represent Hoppertunity's rate, Match expressions to the boxes and
symbols to the circles to create an equation that can be used to find the
rate at which Hoppertunity runs. Not all expressions and symbols will be
used, and you may use an expression and/or symbol twice.
2r
2
12.5
15
200
400
000000000 3
Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
GivenRate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
SolutionLet the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
d = 12.5r for Hoppertunity d + 200 =12.5*2r for DortmundBy replacing d in the second equation, we get:
12.5r + 200 = 12.5*2rSoving:
12.5r = 200r = 200/12.5r = 16 m/secHoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
If x = 6 and y=5, find y when x = 3
Answer:
If x=6 and y=5 and we are to find y when x=3.
it will be 6=5,3=y....
5×3=6×y.
y=15/6=2.5 or 2 whole number 1/2.
This is the answer I hope it helps
Need help fast...
Match the input values on the left with the output values on the right. y = x/2 + 1 1)3 X 2)Y 2 3)2 4 4)4.5 7 5)5.5 9
Answer:
(X,Y)
(2,2)
(4,3)
(7,4.5)
(9,5.5)
Step-by-step explanation:
To match the input values with the output, substitute each value on the right into the equation.
1) x
[tex]\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}[/tex]
The equation remains the same. Hence, x maps onto y.
2) 2
[tex]\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}[/tex]
Therefore, map 2 with 2.
3) 4
[tex]\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}[/tex]
Therefore, match 4 with 3.
4) 7
[tex]\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}[/tex]
Therefore, match 7 with 4.5.
5) 9
[tex]\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}[/tex]
And finally, match 9 with 5.5.
Answer:
thanks for the points
Step-by-step explanation:
Please help I keep getting this Wrong
Answer:
43
Step-by-step explanation:
if EF(part) = 18 and DF(the whole line) = 61
61-18 is 43. 43=DE
Please give brainliest thanks
The advertisement above shows the terms of a certificate of deposit (CD) at a local bank.
Suppose Robert invests $1,200 in the CD for a period of 3 years. How much interest will he earn? How much will Robert have after 3 years?
Answer:
1. The interest is $ 117.
2. The amount is $ 1,317.
Step-by-step explanation:
The following data were obtained from the question:
Principal (P) = $ 1,200
Rate (R) = 3.25%
Time (T) = 3 years
Interest (I) =..?
Amount (A) =...?
1. Determination of the interest.
Principal (P) = $ 1,200
Rate (R) = 3.25%
Time (T) = 3 years
Interest (I) =..?
I = P × R × T / 100
I = 1200 × 3.25 × 3 / 100
I = $ 117
Therefore, the interest is = $ 117
2. Determination of the amount.
This can be obtained as follow:
Interest (I) = $ 117
Principal (P) = $ 1,200
Amount (A) =?
Amount (A) = principal (P) + interest (I)
A = P + I
A = 1200 + 117
A = $ 1,317
Therefore, the amount at the end of 3 years is $ 1,317
Mr.ben has a3/4 pound of flour to use for 6 cakes . how much flour is used for each cake
Answer:
1/4 OF FLOUR IS USED FOR EACH CAKE
Step-by-step explanation:
[tex]\frac{3}{4} X 6[/tex]=4.5
[tex]\frac{4.5}{6}[/tex]=0.75
What is the distance between the coordinates (5, 5) and (7, 2)? Round your
answer to the nearest tenth.
Answer: 3.6
Step-by-step explanation:
To find the distance, find the difference in the x and y coordinates then square them to add them and find the square root of that number you get after you added it.
x coordinate: 5 - 7 = -2
y coordinate: 5-2 = 3
2^2 + 3^2 = c^2 where c is the length
4 + 9 = c^2
13 =c^2
c = [tex]\sqrt{13}[/tex]
c= 3.605 rounded to the nearest tenth is 3.6
PLZ HELP ME OUT How do I know a number is rational or irrational?
Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
Step-by-step explanation:
So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.
If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.
Write an equation for the nth term of the sequence 4, 12, 36, 108, .
Answer:
26,244
Step-by-step explanation:
First, find the pattern with the numbers you already have. That pattern is × 3.
Since you're already at the fourth term, just keep multiplying your product by 3 until you get to the ninth term.
108 × 3 = 324
324 × 3 = 972
972 × 3 = 2,916
2916 × 3 = 8748
8748 × 3 = 26244
Therefore, your answer is 26,244.
Which variable(s) in the data set are measured using a nominal scale? Environment Environment and Age Group Age Group None of the variables
Answer:
Environment
Step-by-step explanation:
Level of measurement used in statistics summarizes what statistical analysis that is possible. We have three types of level of measurement.
Nominal Scale
Ordinal Scale
Interval/ Ratio Scale
The nominal scale known as categorical or qualitative is the most basic level of measurement. Examples include numbers, colour, sex.
Ordinal are variables categorize according to hierarchy they usually have a meaningful order, but the intervals between the variables may not be equal.
In interval/ratio level of measurement, are measured and ordered. Examples are weight or size.
From the given question, it is only the environment that is measured using a nominal scale.
Age group is ordinal because it can be ordered based on hierarchy.
Refer to the table of body temperatures (degrees Fahrenheit). Is there some meaningful way in which each body temperature
recorded at 8 AM is matched with the 12 AM temperature?
1
97.0
97.6
8 AM
12 AM
Subject
3
97.6
98.0
2
98.5
97.8
4
97.7
98.4
5
98.7
98.4
Choose the correct answer below.
A. No. The 8 AM temperatures are from one individual over five days and the 12 AM temperatures are from another
individual over five days.
B. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from a different
individual on the same five days, so each pair is matched.
C. Yes. Each column of 8 AM and 12 AM temperatures is recorded from the same subject, so each pair is matched.
D. Yes. The 8 AM temperatures are all from one individual over five days and the 12 AM temperatures are from the same
individual on the same five days, so each pair is matched.
Answer:
C
Step-by-step explanation:
i just did that question and got it right!!
y=2 + x; use x= 1, and y= 2
Simplify five subtract -1
I used a highly analytical formula to find out that the simplified formula to this complex equation is indeed:
4
Answer:
4
Step-by-step explanation: You cant simplify five, and if you do want to make 5 in to a fraction it's 5/1
5/1 simplifyed it 5
5-1=4
Please help asapppppp
Answer:
Step-by-step explanation:
(500 x 4) + (50 x 4) + (4 x 2)
2000 + 200 + 8
2208 is the solution
Which of the following is true statement?
The awncer is: B
just do it by 2
Which best describes the association shown in the scatter plot?
A. no association
B. strong negative
C. strong positive
D. moderate positive
State all possible names for the figure part 3
Answer:
quadrilateral,parallelogram
Step-by-step explanation:
A quadrilateral is a four-sided polygon.
A parallelogram is a quadrilateral with two sets of parallel sides, much like a rectangle, but with no right angles.
Ok remember these things im saying before you do the answer A=1 B=3 C=2 D=4 E=5 What is A-6+D-C-B=?
Answer:
the answer is 0
Answer: 1-6=5+4=9-2=7-3=4
Plot the following points to create a rectangle.
Find the missing vertex.(5.3): (-5,3): (-5.-1) *
Answer:
(5, -1)
Step-by-step explanation:
The three coordinates of a triangle are given as:
(5,3), (-5,3), (-5,-1).
To find:
The missing vertex = ?
Solution:
Let us label the vertices:
A (5,3),
B(-5,3),
C(-5,-1).
Let the missing vertex be ([tex]x, y[/tex]).
Let us recall the properties of a rectangle.
The opposite sides of the rectangle are equal and parallel to each other.
Let us consider the side AB, we can see that only x coordinate is changed from A to B.
Let us consider the side BC, we can see that only y coordinate is changed from B to C.
A and B are adjacent vertices.
Similarly the opposite vertices will be C and D.
Same pattern will be followed in CD as that of AB.
x coordinate will be changed by same difference as that of AB.
Change in x coordinate from D to C = [tex]-5-x[/tex]
Change in x coordinate from A to B = [tex]-5-5 =-10[/tex]
Equating them:
[tex]-5-x=-10\\\Rightarrow x = 5[/tex]
Same pattern is followed in BC and AD.
Their change in y coordinate will be same.
[tex]-1-3=y-3\\\Rightarrow y =-1[/tex]
Missing vertex is (5, -1).
Please refer to the attached image for the rectangle.
For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Both the additive inverse and the multiplicative inverse are positive. Both the additive inverse and the multiplicative inverse are negative. The additive inverse is positive, while the multiplicative inverse is negative.
The additive inverse is negative, while the multiplicative inverse is positive.
Answer:
its c The additive inverse is positive, while the multiplicative inverse is negative.
Step-by-step explanation:
The additive inverse is positive, while the multiplicative inverse is negative.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
A relation is a function if it has only One y-value for each x-value.
The given function is f(x) = –(x – 3)²(x + 2)
Function equal to minus x minus three whole square times of x plus two.
as x>3, the values of x will be positive.
So the additive inverse is positive, while the multiplicative inverse is negative.
Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
A multiplicative inverse or reciprocal for a number x, denoted by 1/x.
Hence, the additive inverse is positive, while the multiplicative inverse is negative.
To learn more on Inequality click:
https://brainly.com/question/28823603
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Find the corrdinates of the missing endpoint if e is the midpoint of DF F(2’9) e(-1,6)
Answer:
(-4,3)
Step-by-step explanation:
(x1 + 2)/2 = -1
x1 = -4
(y1 + 9)/2 = 6
y1 = 3
So, the other endpoint is (-4,3) .
The missing endpoint is D(-4,3).
What is midpoint of line segment?In geometry, the midpoint of the line segment is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Now it is given that,
Midpoint of line segment, e(x,y) = (-1,6)
one endpoint of line segment, F(x₁,y₁) = (2,9)
∴one endpoint of line segment, D(x₂,y₂)
Now since endpoint of line segment is given as,
{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}
Therefore,
x = (x₁+x₂ )/2
y = (y₁+y₂ )/2
Put the values we get,
-1 = (2+x₂)/2
-2 = (2+x₂)
⇒ x₂ = -2 -2
⇒ x₂ = -4
Again,
6 = (9+y₂ )/2
12 = 9+y₂
⇒ y₂ = 12-9
⇒ y₂ = 3
So, the endpoint is (-3,4)
Hence,The missing endpoint is D(-4,3).
To learn more about midpoint of line segment :
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Find the product: -5(-3)(-3)
Answer:
-45
Step-by-step explanation:
Answer:
((−5)(−3))(−3)
=−45
hope this was helpful!
In the adjoining figure, find the value of x for which
The lines l and m are parallel.
hope it helps I tried my best
Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(-6,6), Q(4,-1)
Answer:
a) PQ = 12.2
b) M (-1, 2.5)
Step-by-step explanation:
a) PQ
use pythagorean PQ = [tex]\sqrt{(6+4)^2 +(6+1)^2}[/tex]
PQ = [tex]\sqrt{149}[/tex] = 12.2
b) Midpoint
Mx = (-6 + 4)/2 = -1
My = (6 + -1)/2 = 2.5
Answer:
[tex]\Huge \boxed{\mathrm{a) \ 12.21}} \\\\\\\\ \huge \boxed{\mathrm{b) \ -1, \ \frac{5}{2}}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
(a)We can use Pythagorean theorem to solve for the length of PQ.
[tex]PQ=\sqrt{10^2 +7^2 }[/tex]
[tex]PQ=\sqrt{149} \approx 12.2066[/tex]
The length of PQ is approximately 12.21.
(b)We can find the midpoint with the midpoint formula:
[tex]\displaystyle \frac{x_1 + x_2 }{2}, \ \frac{y_1+y_2}{2}[/tex]
[tex]\displaystyle \frac{-6+4 }{2}, \ \frac{6+-1}{2}[/tex]
[tex]\displaystyle \frac{-2 }{2}, \ \frac{5}{2}[/tex]
[tex]\displaystyle -1, \ \frac{5}{2}[/tex]
[tex]\rule[225]{225}{2}[/tex]
A random sample of 13 hotels in Boston had an average nightly room rate of $172.10 with a sample standard deviation of $23.90. The approximate standard error of the mean for this sample is ________.
Answer:
6.63Step-by-step explanation:
Standard error of the mean is expressed as shown below.
SE = S/√n where;
S is the standard deviation
n is the sample suze
Given parameters
Standard deviation = $23.90
sample size = 13
Required
Standard error of the mean for this distribution.
Substituting the given value into the formula we have;
SE = 23.90/√13
SE = 23.90/3.6056
SE = 6.6286
Hence the approximate standard error of the mean for this sample is 6.63
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
A) horizontal stretch by a factor of 4, and a translation 27 units right
B) horizontal stretch by a factor of 4, and a translation 27 units down
C) horizontal compression by a factor of 4, and a translation 27 units right
D)horizontal compression by a factor of , and a translation 27 units down
Answer:
Option D.
Step-by-step explanation:
It is given that, graph of j(x) transformed in the graph of j(4x) – 27.
We need to find the transformations.
Consider the new function is
[tex]f(x)=j(4x)-27[/tex] ... (1)
The translation is defined as
[tex]f(x)=j(kx+a)+b[/tex] ... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
k=4>1, the graph j(x) compressed horizontally by factor of 1/4.
a=0, so there is no horizontal shift.
b=-27<0, so the graph of j(x) shifts 27 units down.
So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.
Therefore, the correct option is D.
Answer:
D) horizontal compression by a factor of 1/4, and a translation 27 units down
Step-by-step explanation:
got it right on edge :)
A train cover 828 km in 9 hours what distance will it covers in 1 hour
Answer:
Step-by-step explanation:
distance covered in 9 hours = 828 km
therefore, distance covered in 1 hour = 828 / 9
= 92 km
Hope this helps
plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Hello,
A train cover 828 km in 9 hours what distance will it covers in 1 hour
828 km => 9 hours
? km => 1 hour
= 1 x 828 / 9
= 92 km
What is a unit rate
[tex]{Option: A}[/tex]
What is a unit rate?
=> A rate that has a 1 as its denominator.
______________