Answer:
Fraction form: 1/4
Exponential form: 2^-2
Expanded form: 1/4 (Not sure if thats correct)
Step-by-step explanation:
Answer:
Its 1/4 he was right
Step-by-step explanation:
Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.
(
x
,
y
)
=
(
3
5
,
4
1
5
)
or
(
x
,
y
)
=
(
−
3
,
−
3
)
Explanation:
Given
[1]
XXX
y
−
2
x
=
3
[2]
XXX
x
2
+
y
2
=
18
Re-writing [1]
[3]
XXX
y
=
2
x
+
3
Substituting
(
2
x
+
3
)
from [3] for
y
in [2]
[4]
XXX
x
2
+
(
2
x
+
3
)
2
=
18
Simplifying
[5]
XXX
x
2
+
4
x
2
+
12
x
+
9
=
18
[6]
XXX
5
x
2
+
12
x
−
9
=
0
Factoring
[7]
XXX
(
5
x
−
3
)
(
x
+
3
)
=
0
⇒
x
=
3
5
or
x
=
−
3
case 1:
x
=
3
5
Substituting
3
5
for
x
in [3]
XXX
y
=
2
(
3
5
)
+
3
=
4
1
5
case 2:
x
=
−
3
Substituting
(
−
3
)
for
x
in [3]
XXX
y
=
2
(
−
3
)
+
3
=
−
3
Elimination was used to solve a system of equations. One of the intermediate steps led to the equation 7x=21. Which of the following systems could have led to this equation
A. 8x-y=15, x+y=-6
B.3x+2y=7, 2x-y=7
C.4x+3y=24, -3x-3y=3
D. 7x+2y=21, -7x-2y=21
Answer:
Step-by-step explanation:
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
How do you solve Linear Equations?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Calculation7x=21 is the intermediate state.
x=3 is the given solution
Substitue x in the given solutions and find y from the given solutions.
9+2y=7 and 6-y=7
so y=-1 in both the cases.
We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.
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What is the volume of the rectangular prism?
Review the graph of function g(x).
For which value of a does lim g(x) not exist?
X-
O-6
0-3
0 0
2-
Answer:
0-6 de correct answer okay.
At x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a graph of function g(x)
[tex]\rm \lim_{x \to a}g(x)[/tex]
Let's check at x = -3
Finding the left-hand limit and right-hand limit.
[tex]\rm \lim_{x \to -3^{-1}}g(x) = -2[/tex]
[tex]\rm \lim_{x \to -3^{+1}}g(x) = -4[/tex]
Since the left-hand limit and right-hand limit are not equal then at x = -3 the limit does not exist.
Thus, at x→ -3 the value of the limit of function g(x) does not exist because the left-hand limit and right-hand limit are not equal an option second is correct.
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From a 60-ft observation tower on the coast, a Coast Guard officer sights a capsized boat. The angle of depression to the
boat is 5º. How far is the boat from the shoreline?
A. 173 ft
B. 523 ft.
C. 686 ft.
D. 60 ft.
C
How far is the boat from the shoreline? C. 686 ft.
PLS, NO FILES, OR LINKS, JUST ANSWERS, AND EXPLANATIONS..... What is the combined area of the two bases of the following cylinder? 43.96 in. 2 87.92 in. 2 25.12 in. 2 12.56 in. 2
The combined area of the circular bases of the cylinder is of 25.12 squared inches.
What is the area of a circle?
The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, there are two bases, and each base is a circle of r = 2 in, hence the combined area in inches squared of the two bases is given by:
[tex]A_c = 2 \times \pi \times 2^2 = 8\pi = 25.12[/tex]
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Answer:
25.12 squared inches.
Hope this helps!
help me on this plz and thank you
By solving for x you get x=6
Answer:
x = 6
Step-by-step explanation:
12x = 72
72/12 = 6
x = 6
A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?
Answer:
320
Step-by-step explanation:
Distance to go
2km - 1.2 km = 0.8km = 800m
Revolutions needed
800/2.5 = 320
Which of the following numbers is not a perfect square?
49 124 169 361
Answer: 124
Step-by-step explanation: 7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.
Answer:
124
Step-by-step explanation:
A sphere shaped orange has a diameter of 7 centimeters. Find the volume of the orange to the nearest tenth.
22cm^3
Step-by-step explanation:
My education system is different so I dont know what nearest tenth would mean in this .
But going mathematically:
Its diameter is 7 centimetres.
So to find its volume we can use the formula pi/d or pi/r^2
Now, 22/7÷7 would be 22cm³.
Help me pleaseeeeeeeeee!!!!
calculate the surface area of the net
[tex]\red {incomplete \: question}[/tex]
Some1 hurry need help
Answer:
B) (-6,9)
Step-by-step explanation:
since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.
hope this helps <3
Answer:
B, (-6, 9)
Step-by-step explanation:
this is because it's like as if it was a mirror, so that is the correct answer
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
8 Mangoes = 30 bananas
5 banana= 2 oranges
15 oranges=? mangoes
Answer:
it would only be 8, unless you need to go down to the decimal point then it would be 8.25
Step-by-step explanation:
it would be 8 because if you need to find how many bananas you have, to do this you would divide 15 by 2 and get 7.5 then you multiply those by 5 to get the number of bananas which would be 37.5, and then if 8 mangos = 30 bananas you only have 8 mangos.
(sorry if this is very jumbled and hard to understand, also getting brainliest would help, thank you)
i hsve two questions, Matt is making a picture frame from a piece of wood trim that is 27 8 278 feet long. How can Matt rename the fraction as a mixed number?
and
Use comparative relational thinking to find the unknown number.
116
+
58
=
135
+
n
n
=
31
n is equal to 31
n
=
33
n is equal to 33
n
=
39
n is equal to 39
n
=
174
Answer:
Step-by-step explanation:
Someone help me pls!!!!????
Answer:
Greatest would be Chlorine Krypton Argon Fluorine and least Hydrogen
Answer:
J, I, G, K, H.
Step-by-step explanation:
The elements go from least to greatest, and since they are negatives, we sort them from the highest negative to the lowest negative.
Scott earns $10 per hour for babysitting and $30 per hour for computer repair work. Which inequality represents how many hours Scott could babysit, b, and how many hours he could do computer work, c, to earn a total of at least $600 this month? A. 10b + 30c > 600
B. 10b +30C 600
C. 40(b+c)2 600
D. 40(b+c) 5600 E.
Do Not Know
Answer:
B
Step-by-step explanation:
1 1/4×-1 1/3 is equals to?
Answer: [tex]-\frac{5}{12}[/tex]
Steps:
[tex]1\frac{1}{4}\times \left(-1\right)\frac{1}{3}[/tex]
Convert mixed numbers to improper fractions: [tex]1\frac{1}{4}[/tex][tex]=\frac{5}{4}[/tex]
[tex]=\frac{5}{4}\times \left(-1\right)\frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:rule}:\quad \:a\left(-b\right)=-ab[/tex]
[tex]\frac{5}{4}\left(-1\right)=-\frac{5}{4}\times \:1[/tex]
[tex]=-\frac{5}{4}\times \:1\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:rule}\:a\times 1=a[/tex]
[tex]=-\frac{5}{4}\times \frac{1}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]\frac{5}{4}\times \frac{1}{3}=\frac{5\times \:1}{4\times \:3}[/tex]
[tex]=-\frac{5\times \:1}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:1=5[/tex]
[tex]=-\frac{5}{4\times \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12[/tex]
[tex]=-\frac{5}{12}[/tex]
Hope This Helps!
GIVING BRAINLIEST !!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)
2
4
6
8
10
Probability 0.35 0.2 0.1 0.2 0.15
Expected Value = [?]
Round to the nearest hundredth.
Enter
Answer:
Expected value: $5.20
Step-by-step explanation:
2(0.35)+4(0.2)+6(0.1)+8(0.2)+10(0.15)=5.2, so you can expect to win $5.20 in this game.
Answer:
5.20 is the answer for Acellus it works
Step-by-step explanation:
[tex]x^{2}[/tex] - 55 = 26
Answer: [tex]x=9,\:x=-9[/tex]
Steps:
[tex]x^2-55=26[/tex]
[tex]\mathrm{Add\:}55\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-55+55=26+55[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x^2=81[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{81},\:x=-\sqrt{81}[/tex]
[tex]\sqrt{81}[/tex]= 9
[tex]-\sqrt{81}=-9[/tex]
So That Equals:
[tex]x=9,\:x=-9[/tex]
#[tex]Hardnessed To Perfection[/tex]
Mixed Applications: Choose the best strategy
Choose any of the following strategies to solve the problems. Identify the strategy you used in each problem.
Use a formula
Draw a Diagram
Write a Number Sentence
Guess & Check
Where is the problem
What is the area of this cross section of this rectangular prism? Enter your answer in the box.
10 in.
6 in.
16 in.
Answer:
16.
Step-by-step explanation:
Is there a picture?
If p is inversely proportional to the square of q, and pis 24 when q is 11,
determine p when q is equal to 2.
Answer:
726
Step-by-step explanation:
Here p = k / q², and 24 = k / 121, or k = 2904
Then p = 2904 / q²
If q = 2, p = 2904 /4 = 726
Answer:
p = 12 × 11²
Step-by-step explanation:
By question,
=> p ∝ 1/q²
=> p = k/q²
When p is 24 and q is 11=> 24 = k/11²
=> k = 24 * 11²
When q is 2 ,=> p = k/q²
=> p = 24*11²/2
=> p = 12 × 11²
2. How many squares are in figure 10? Explain how you know.
Answer:
We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded
Step-by-step explanation:
hope this helps
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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What is the value of y in the equation 4+ y = -3? (1 point)
07
0 1
O-1
0 -7
PLZZZZZZZZZZZZZZZZZ help
Answer:
true
Step-by-step explanation:
[tex]\frac{x}{2} <20[/tex]
* substitute 30 for x *
[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]
we're left with 15 < 20 which is true