Answer:
About $150 billion US dollars to buy Venezuela
Step-by-step explanation:
It's a big place
(a^2 - b^2)=???????????????????????????
[tex](a^2 - b^2) = (a + b)(a - b)[/tex]
Round 1001 to the nearest thousand.
1000 is the correct answer !
Skylar's grades on four math tests are 85, 78, 77, and 69. What does Skylar need to score on the next test in order to have a mean score of 80?
Answer:
91Step-by-step explanation:
The mean the the average of 5 numbers. If the next score is x, then the mean is:
(85 + 78 + 77 + 69 + x)/5 = 80Solve it for x:
309 + x = 80*5x = 400 - 309x = 91It is given that,
The mean is the average of 5 numbers.
Then if the,
Next score is x the mean will be.
We can solve now,
→ (85 +78 +77 + 69 + x)/5 = 80
→ (309 + x)/5 = 80
→ 309 + x = 80 × 5
→ 309 + x = 400
→ x = 400 - 309
→ x = 91
Hence, the next score is 91.
Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3 miles from his house in 36 minutes. Find the unit rate in minutes per mile for Barry. Find the unit rate in minutes per mile for Robin. Who walks faster, Barry or Robin
Answer : barry
12<15
Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
The unit rates of Barry and RobinWe have:
Barry
Distance = 2 miles
Time = 30 minutes
Unit rate = Time/Distance
Unit rate = 30 minutes/2 miles
Unit rate = 15 minutes per mile
Robin
Distance = 3 miles
Time = 36 minutes
Unit rate = Time/Distance
Unit rate = 36 minutes/3 miles
Unit rate = 12 minutes per mile
Hence, Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
Who walk faster?The unit rates mean that:
Barry covers 1 mile in 15 minutesRobin covers 1 mile in 12 minutesHence, Robin walks faster
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I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3
Answer:
Answers are below!
Step-by-step explanation:
(2 + g) (8)
= (2 + g) (8)
Add a 8 after the 2, and flip.
= (2)(8) + (g)(8)
= 16 + 8g
= 8g + 16
= (4) (8 + -5g)
Add another 4, then flip.
= (4) (8) + (4) (-5g)
= 32 − 20g
= - 20g + 32
−7 (5-n)
= (−7) (5 + -n)
Add another 7, then flip.
= (−7) (5) + (-7) (-n)
= −35 + 7n
= 7n - 35
Use the distributive property.
a (b + c) = ab + ac
a = 8
b = 2m
c = 1
= 8 × 2m + 8 × 1
Simplify, you get 16m + 8.
Use the distributive property.
a (b + c) = ab + ac
a = 6x
b = y
c = z
= 6xy - 6xz is the answer.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]
[tex]a=-3,\:b=2b,\:c=2a[/tex]
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Apply minus plus rules.
[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]
Multiply the numbers.
3 x 2 = 6
Answer:
9. -35+7n
10. 16m+8
11. 6xy-6xz
Step-by-step explanation:
You multiplying the terms inside the ( ) by the outside factor.
This is call distributive property, a(b+c)=ab+ac.
Also, a(b+c)=(b+c)a by commutative property.
It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.
Anyhow, let's look at 9.,10., and 11..
9.
-7(5-n)
(-7)(5-n)
(-7)(5)-(-7)(n)
-35+7n
10.
8(2m+1)
(8)(2m)+(8)(1)
16m+8
11.
6x(y-z)
(6x)(y-z)
(6x)(y)-(6x)(z)
6xy-6xz
Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).
If you want comment below, if you want me to check any of yours or if you have any questions.
What is the value of x if x/ 3 + 1 = -2 ?
suppose △abc≅△xyz. what is the corresponding congruent part for each segment or angle?
Answer:
Step-by-step explanation:
I only need the odd numbers answered
Answer:
1.a+4=11
a=7
2.6=g+8
g=2
3.
?
4.k+8=3
k=-5
5.j+0=9
j=9
6.12+y=15
y=3
7.h-4=0
h=4
8.m-7=1
m=8
9.w+5=4
w=-2
10.b-28=33
b=61
11.45+f=48
f=3
12.n+7.1=8.6
n=1.5
Hope This Helps!!!
X is less than or equal to 2 Write in interval notation.
An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)
Answer:
f is not a function
Step-by-step explanation:
Given
Domain: Whole numbers
Range: Real numbers
Required
Is f a function
Base on the given parameters, f is not a function because:
There are more real numbers than whole numbers
And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship
For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one
i.e. 1 or many domain elements to 1 element in the range.
An example is:
[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]
In the above function
The domain (i.e. x values) are whole numbers
The range (i.e. y values) are real numbers
However,
9 points to 3.2 and -3.5
So, the relation is not a function.
GM projected that 3% of their cars produced this year will be defective. If GM produced 1,698 cars that were defective, how many cars did GM produce this year
Answer:
56600 cars
Step-by-step explanation:
Below is the calculation of number of cars produced.
The percentage of cars that is defected = 3%
Number of cars that are defective = 1698 cars
The number of cars produced in a year = 1698 / 3%
The number of cars produced in a year = 56600 cars
8/9 - 1/3
Very easy question for 10 pts
Answer:
answer is 5/9
Step-by-step explanation:
Answer:
The answer is 5/9 or 0.555 (the 5 is repeated)
Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the quadratic function:
[tex]\displaystyle y=0.3(x-4)^2-2.5[/tex]
And we want to determine its axis of symmetry.
Notice that this is in vertex form:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola.
From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).
The axis of symmetry is equivalent to the x-coordinate of the vertex.
The x-coordinate of the vertex is 4.
Therefore, the axis of symmetry is x = 4.
A boy leaves station X on a bearing of 035' to station Y. which is 21km away. He then travels to another station Z on a bearing of 125 degrees . If Z is directly East of X, what is the distance from X to his present position?
9514 1404 393
Answer:
36.6 km
Step-by-step explanation:
We assume the initial bearing of the boy is 35°. Then he will make a 90° turn to a heading of 125°. A diagram shows the distance of interest is the hypotenuse of a right triangle in which 35° is the angle opposite the side of length 21 km.
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(35°) = (21 km)/XZ
XZ = (21 km)/sin(35°) ≈ 36.61 km
The distance from X to Z is about 36.61 km.
_____
The attached diagram has the angles measured in the usual way for a Cartesian plane: CCW from the +x axis. This will correspond to bearing measures if we relabel the axes so that +x is North, and +y is East.
A radioactive material is known to decay at a yearly rate proportional to the amount at each moment. There were 1000 grams of the material 10 years ago. There are 980 grams right now. What will be the amount of the material right after 20 years
Answer:
x = 960.4
Step-by-step explanation:
980 = 1000[tex]e^{kt}[/tex]
.98 = [tex]e^{10 k}[/tex]
ln(.98) = 10k ln(e)
k = ln(.98)/10
k=-0.00202
~~~~~~~~~~~~~~
x = 1000[tex]e^{20 *-.00202}[/tex]
x = 960.4
The amount of the material right after 20 years will be x = 960.4.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that radioactive material is known to decay at a yearly rate proportional to the amount at each moment. There were 1000 grams of the material 10 years ago. There are 980 grams right now.
The amount of the material will be calculated as,
980 = 1000
[tex]0.98 = e^{10k}[/tex]
ln(.98) = 10k ln(e)
k = ln(.98)/10
k=-0.00202
The value after 20 years will be,
[tex]x = 1000e^{20\times 0.00202}[/tex]
x = 960.4
Therefore, the amount of the material right after 20 years will be x = 960.4.
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The number of measles cases increased 26.3% to 321 cases this year. What was the number of cases prior to the increase? Express your answer rounded correctly to the nearest whole number.
Answer:
The right answer is "[tex]x\simeq 254[/tex]".
Step-by-step explanation:
Let the number of earlier case will be "x".
Now,
⇒ [tex]x+x\times \frac{26.3}{100}=321[/tex]
or,
⇒ [tex]x+x\times 0.263=321[/tex]
By taking "x" common, we get
⇒ [tex]x(1+0.263)=321[/tex]
⇒ [tex]x=\frac{321}{1.263}[/tex]
⇒ [tex]=254.15[/tex]
or,
⇒ [tex]x\simeq 254[/tex]
What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1
Answer:
answer is C
Step-by-step explanation:
General equation of a line is expressed as shown:
y = mx+c where;
m is the slope or gradient of the line
c is the intercept of the line
Given the equation of the line graph as y =2.5x
Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)
Based on the explanation, the y-intercept of the graph is therefore 0
Answer:
B
Step-by-step explanation:
To find the x-intercept, substitute in
0 for y and solve for x
To find the y-intercept, substitute in 0 for x and solve for y
x-intercept(s): None
y-intercept(s): (0,1)
Use the value of phi = 1.618 to predict the 23rd number in the Fibonacci sequence. The 22nd number in the sequence is 17,711.
- 10,946
- 17,711
- 22,897
- 28,656
Given:
[tex]\phi=1.618[/tex]
22nd number in Fibonacci sequence = 17,711
To find:
The 23rd number in the Fibonacci sequence.
Solution:
The nth term of a Fibonacci sequence is:
[tex]f_n=\dfrac{\phi^n-(1-\phi)^n}{\sqrt{5}}[/tex]
Substituting [tex]\phi=1.618, n=21[/tex], we get
[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]
[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]
[tex]f_{21}=10941.1724024[/tex]
[tex]f_{21}\approx 10941[/tex]
Now,
[tex]f_{23}=f_{21}+f_{22}[/tex]
[tex]f_{23}=10941+17711[/tex]
[tex]f_{23}=28652[/tex]
It is about 28,656. Therefore, the correct option is D.
what are the missing numbers ?
The population of watesville decreases at a rate of 1.6% each year if the population was 62,500 in 2015 what will it be in 2021
Answer:
Step-by-step explanation:
We need to first find the model for this particular situation, knowing that this is an exponential decay problem. The main equation for exponential growth/decay (as far as population goes for our problem) is
[tex]y=a(b)^x[/tex] where a is the initial population, b is the rate of decrease in the population which can also be written as (1 - r), y is the population after a certain amount of time, x, goes by. We will let year 2015 = 0 so year 2021 can = 6. This keeps our numbers lower and doesn't change the answer!
Our initial population in the year x = 0 is 62500. Our rate of decay is
(1 - .016) so our b value is .984
Filling in to find our model:
[tex]y=62500(.984)^x[/tex]
Now we can use that model and sub in a 6 for x to find the population in the year 2021:
[tex]y=62500(.984)^6[/tex] and
y = 62500(.9077590568) so
y = 56734.9 or, rounded to the nearest person, 56735
find the x-intercepts y=2x^2 + 5x + 2/x^2-4x+3
Answer:
[tex]{ \tt{y = \frac{2 {x}^{2} + 5x + 2}{ {x}^{2} - 4x + 3 } }} \\ x - intercept : y = 0 \\ { \tt{ \frac{2 {x}^{2} + 5x + 2 }{ {x}^{2} - 4x + 3 } = 0 }} \\ \\ { \tt{2 {x}^{2} + 5x + 2 = 0}} \\ x = \frac{1}{2} \: \: and \: \: x = - 2[/tex]
What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank reads 23 psig?
Answer:
53.08 ft
Step-by-step explanation:
The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.
Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have
h = P/ρg
Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa
Substituting the values of the other variables into h, we have
h = P/ρg
h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)
h = 158579.48 Pa/(9800 kg/m²s²)
h = 16.18 m
h = 16.18 × 1 m
h = 16.18 × 3.28 ft
h = 53.08 ft
Mr johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week.
A. $300 B $600 C $100 D $900
I believe your answer is D.) $900
204 + 96 = 300
300 x 3 = 900
I hope this is correct and helps!
Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?
9514 1404 393
Answer:
Keiko: 17Chang: 24Abdul: 68Step-by-step explanation:
Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...
c + (c -7) +4(c -7) = 109
6c -35 = 109 . . . . . . . . . . simplify
6c = 144 . . . . . . . . . . . add 35
c = 24 . . . . . . . . . . . divide by 6
c-7 = 17
4(c-7) = 68
Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.
PLS HELP QUICK I WILL GIVE YOU BRAINLIEST:
Given that angle abc=70° and angle bcd=110°. Is it possible (consider all cases): That line AB intersects line CD?
Answer:
Given that angle abc = 70° and angle bcd = 110°. Is it possible (consider all cases): That line AB intersects line CD?
yes.Step-by-step explanation:
#CarryOnLearning
If (3x − 2)(3x + 2) = ax2 − b, what is the value of a?
(3x-2)(3x+ 2)
Multiply each term in one set of parentheses by the other terms:
3x x 3x =9x^2
3x x 2 = 6x
-2 x 3x = -6x
-2 x 2 = -4
Combine to get:
9x^2 + 6x - 6x -4
Combine like terms:
9x^2 - 4
The value of a would be 9.
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
(3x − 2)(3x + 2) = ax2 − b⠀⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀what is the value of a?⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
At first we have to solve the value of (3x-2)(3x+2)
[tex]\sf{(3x-2)(3x+2) }[/tex] [tex]\sf{3x(3x+2)-2(3x+2) }[/tex] [tex]\sf{9x^{2}+6x-6x-4 }[/tex] [tex]\sf{9x^{2}-4 }[/tex]According to the question,
[tex]\sf{ (3x − 2)(3x + 2) = ax^{2} − b }[/tex] [tex]\sf{9x^{2}-4=ax^{2}-b }[/tex] [tex]\sf{9x^{2}=ax^{2}~and~-4=-b }[/tex] [tex]\sf{a=9~and~b=4 }[/tex]⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
Hence,
The value of a is 9
Kaitlin is riding her bike. The number of revolutions (turns) her wheels make varies directly with the distance she travels. See the graph below.
How far does Kaitlin travel per revolution?
What is the slope of the graph?
Answer:
m = Δy/Δx = 4/32 = 1/8
8 ft/rev.
Step-by-step explanation:
Answer:
[tex]\frac{1}{8}[/tex] for both
Step-by-step explanation:
1. Distance per revolutionWe see that the distance travelled at 2 revolutions is 16
This means that she travels [tex]\frac{1}{8}[/tex] of a mile per revolution
2. Slope
The slope formula is rise/run, or ([tex]y[/tex]₂[tex]-y[/tex]₁)/([tex]x[/tex]₂[tex]-x[/tex]₁)
We can take two points, (16,2) and (32,4)
[tex]\frac{4-2}{32-16}=\frac{2}{16}=\frac{1}{8}[/tex]
The slope is [tex]\frac{1}{8}[/tex]
Hope this helps! Please mark brainliest :)
Please help will mark brainliest!
Answer:
(d) ∠B≅∠D
Step-by-step explanation:
The last statement of any proof is a restatement of what is being proven. Here, that is ...
∠B≅∠D
Please help!!!!
I’m using Plato
1 by 4 ^ 256 is equal to 4 and 1 by 4 ^ 64 will be root 4 so here the answer will be 4 into 4 root 4
there option 4 will be correct
The product of -3x and (2x+5) is …
[tex]\huge{\boxed{\boxed{ Solution ⎇}}} \ [/tex]
[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x [/tex]
Answer ⟶ - 6x² - 15x