Answer:
x = 28
Step-by-step explanation:
(-14)+x=14
Add 14 to each side to isolate x
14+(-14)+x=14+14
x = 28
Answer:
[tex]x = 28[/tex]
Step-by-step explanation:
[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which expression is equivalent to 36x2 - 25?
(18x) + (-5)
(18x)? – (5)
(6x)2 + (-5)
(6x)2 – (5)
Answer:
The equivalent expression is: (6x + 5)*(6x - 5)
Step-by-step explanation:
This expression is called the difference of two squares.
It has the following format: [tex]a^{2} - b^{2}[/tex]
It is factored as: [tex]a^{2} - b^{2} = (a-b)*(a+b)[/tex]
In this question:
[tex]a^{2} - b^{2} = 36x^{2} - 25[/tex]
So
[tex]a^{2} = 36x^{2}[/tex], then [tex]a = \sqrt{36x^{2}} = 6x[/tex]
[tex]b^{2} = 25[/tex], then [tex]b = \sqrt{25} = 5[/tex]
So
The equivalent expression is: (6x + 5)*(6x - 5)
Answer: (6x)^2 − (5)^2
Step-by-step explanation:
edge. 2022 got it right
I need help on this
Answer:
a = 250 ; b = 10
Step-by-step explanation:
a = 5 × 10² / 2
a = 5 × 100 / 2
a = 500 / 2
a = 250
b = 2 × 10² (10-5) / 10×10
b = 2 × 100 × 5 / 100
b = 1000 / 100
b = 10
i need help plz answer correctly thanks
Answer:
67
Not exactly sure on how to write it in though
Step-by-step explanation:
Exponential form of xyyzzz
Answer:
xy²z³
Step-by-step explanation:
An exponent is a way to indicate the number of times the factor is repeated. When it is 1, it is rarely shown.
x is repeated once, so will appear without an exponent
y is repeated twice, so will have an exponent of 2
z is repeated 3 times, so will have an exponent of 3
__
xyyzzz = xy²z³
_____
In plain text, an exponent is indicated with a caret (^).
xy^2z^3
A farmer used fence posts to build a fence for Hazel Horse and Pauly Pony. The farmer used 262626 fence posts to build Hazel Horse's fence and 191919 fence posts to build Pauly Pony's fence.
How many fence posts did the farmer use in all?
Answer:
45
Step-by-step explanation:
19+26 fences equal 45
There are 80 sixth graders, 90 7th graders, and 70 8th graders at your school. Every student gets entered in a raffle. What is the probability that a 7th grade student will win the raffle?
Answer:
P(seventh grade winner) = 3/8
Step-by-step explanation:
Find the value of X, Z and Y.
Answer:
x = 5; y = 138, z= 42
Step-by-step explanation:
4x- 17 = 3 [ opposite sides of a parallelogram are equal]
4x = 3+ 17 = 20; X= 20/4 = 5
138 + Z = 180( angle on a straight line)
Z is an alternate angles to the remaining angle off 138 forming the straight line.
z= 180-138 = 42 degrees
Y = 138 [ opposite angles of a regular quadilareral been equal]
Given function f(x)=x^2+5, determine the value of f(f(5))
Answer:
905
Step-by-step explanation:
So your original equation is f(x) = x² + 5
First lets work with the stuff inside the parentheses.
f(5) = 5² + 5 = 30
So now you are finding,
f(f(5)) => f(30)
f(30) = 30² + 5 = 900 + 5 = 905
Add the following weights:
6 lb 10 oz
+ 10 oz
lb
OZ
Answer:
7 lbs 4 oz
Step-by-step explanation:
6 lb 10 oz
+ 10 oz
---------------------
6 lbs 20 oz
But we know that there are 16 oz in 1 lb
So subtract 16 oz and add 1 lb
6 lbs 20 oz
+1 lb - 16 oz
--------------------------
7 lbs 4 oz
What is The true solution to In 20 +in 5=2in x?
Answer:
x = 10
Step-by-step explanation:
Combining the logarithms, you have ...
ln(20·5) = ln(x²)
100 = x² . . . . . take the antilogs
10 = x . . . . . . . take the positive square root
_____
Alternate solution
ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20
2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)
ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2
ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left
10 = x
_____
These solutions make use of the rules of logarithms ...
ln(ab) = ln(a) +ln(b)
ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
In the attached file
The graph for the equation y = 2 x + 4
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2 x minus 4
B) y = 2 (x + 2)
C) y = 2 (x minus 4)
D) y = x + 4
Answer:
a
Step-by-step explanation:
A scientist wants to find the average weight of fish living in a large pond. So she will use the weights of 25 fish from the pond to find the average weight
Answer:
Use interval estimation to compute the average weight of fish living in a large pond.
Step-by-step explanation:
In statistic, point estimation comprises of the use of sample data to estimate a distinct data value (known as a point estimate) which is to function as a "best guess" or "best estimate" of an unidentified population parameter.
The point estimate of the population mean (µ) is the sample mean ([tex]\bar x[/tex]).
Now according to the law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample ([tex]\bar x[/tex]) approaches the whole population mean (µ).
That is, [tex]\bar x[/tex] → µ as n → ∞.
The scientist uses the weights of 25 fish from the pond to find the average weight.
The sample is large, but not large enough.
So, use interval estimation to compute the average weight of fish living in a large pond.
The interval estimation is the best way to estimate the true value of a parameter. This is because the interval of values computed for the parameter has certain probability of containing the true parameter value.
The (1 - α)% confidence interval for population mean is an interval estimate.
The surface area of a figure is 62cm^2 if the dimensions are multiplied by 5
The surface area of the new figure is,
⇒ 1550 cm²
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
The surface area of a figure is 62cm².
And, the dimensions are multiplied by 5.
Here, The surface area of a figure is 62cm².
After multiply by 5, surface area of the new figure is,
⇒ 5² × 65
⇒ 25 × 65
⇒ 1550
Thus, The surface area of the new figure is,
⇒ 1550 cm²
Learn more about multiplication visit:
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Someone please help me
Answer:
3/19
Step-by-step explanation:
Answer:
im havijn trouble 2Step-by-step explanation:
idkmsorry
Medical researchers conducted a national random sample of the body mass index (BMI) of 654 women aged 20 to 29 in the U.S. The distribution of BMI is known to be right skewed. In this sample the mean BMI is 26.8 with a standard deviation of 7.42. Are researchers able to conclude that the mean BMI in the U.S. is less than 27? Conduct a hypothesis test at the 5% level of significance using StatCrunch (directions) or calculating T and using the T-Distribution Calculator above. Based on your hypothesis test, what can we conclude?
Answer:
Check the explanation
Step-by-step explanation:
The distribution is right skewed but the sample size is large so we can use t - test here. The statistical software output for this problem is:
One sample T hypothesis test:
μ : Mean of population
[tex]H_0[/tex] : μ = 27
[tex]H_A[/tex] : μ < 27
Hypothesis test results:
Mean Sample Mean Std. Err. DF T-Stat P-value
μ 26.8 0.29014496 653 -0.68931061 0.2454
Since p - value > 0.05, do not reject .
Hence,
With a mean BMI of 26.8, the data supports the claim that the average BMI is less than 27, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean BMI for women aged 20 to 29 in U.S. is 27.
Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
Answer:
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Step-by-step explanation:
The arts and craft shop has a bolt of crimson velvet of 32 meters long. A customer bought 120 centimetres of the velvet. In the afternoon another customer bought 14 meters. The remaining length of crimson velvet Malik shop possess after the morning and afternoon sales can be calculated below.
The total length of the crimson velvet = 32 meters. Since our answer should be in centimetre we will convert all the units to cm.
total length = 32 m
1 m = 100 cm
32 m = ?
cross multiply
total length in cm = 32 × 100 = 3200 cm
The first customer bought 120 cm
The second customer bought 14 m so let convert again.
1 m = 100 cm
14 m = ?
cross multiply
the second customer length in cm = 14 × 100 = 1400 cm
The amount left in the shop will be as follows
Amount of crimson velvet left = 3200 - 120 - 1400 = 1680 cm
Determine the number of real solutions for each system of equations.
Answer:
1+1=2
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer: A
I just love your questions. You always put "No guessing" haha.
Step-by-step explanation:
[tex]f(x)=3^x+10x\\g(x)=2x-4[/tex]
[tex](f+g)(x)=[/tex]
This basically means you have to take both functions and add them together.
[tex](f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\[/tex]
Combine like terms;
[tex](f+g)(x)=3^x+12x-4[/tex]
The area of a parrellogram is 31.5ft and height is 6.3ft. What is the length of the base
Answer:
Area = base × height
31.5 = base × 6.3
base = 5 ft
Answer:
5 feet
Step-by-step explanation:
The area formula is A = b * h, where A is the area, b is the length of the base, and h is the height. Since we want to know the length of the base, we are solving for b. Thankfully, we know that A = 31.5 and h = 6.3. When we plug them into the equation, we get 31.5 = b * 6.3. Because we want b on one side without any coefficients and numbers on the other side, we can divide the equation by 6.3 on both sides. The equation will remain the same because we are doing the same thing to both sides. When we divide, we get b = 31.5 / 6.3 = 5 feet. Hope this helps!
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer these 2 questions!
Answer:
A. [tex]G(x) = 7x^2[/tex]
D. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
If you were to vertically stretch the quadratic parent function, the correct answer would be "A," because you are stretching upwards, which in turn, also changes the y-values.
As you can see in the table, the x-value of 3 repeats, which cannot occur. Each input (x-value) can go to only one output (y-value). As a result, the table does not represent a function.
Identify whether each of the following statements is more appropriate as a null hypothesis or an alternative hypothesis. Hypothesis: The number of hours that grade-school children spend doing homework predicts their future success on standardized tests. Hypothesis: King cheetahs on average run the same speed as standard spotted cheetahs. Hypothesis: The mean length of African elephant tusks has changed over the last 100 years. Hypothesis: The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not. Hypothesis: Caffeine intake during pregnancy affects mean birth weight.
Answer:
(1) Alternate Hypothesis.
(2) Null Hypothesis.
(3) Alternate Hypothesis.
(4) Null Hypothesis.
(5) Alternate Hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
(1)
The hypothesis statement is:
"The number of hours that grade-school children spend doing homework predicts their future success on standardized tests."
According to the hypothesis statement, we known that the test to be performed is for the relationship between the number of hours that grade-school children spend doing homework and their future success on standardized tests.
So, the null hypothesis here will be that there is no relation between the two variables, or the number of hours that grade-school children spend doing homework does not predicts their future success on standardized tests.
Thus, the provided statement is a Alternate hypothesis.
(2)
The hypothesis statement is:
"King cheetahs on average run the same speed as standard spotted cheetahs."
According to the hypothesis statement, we known that the test to be performed is for the difference between the mean running speed of king cheetahs and spotted cheetahs.
The statement provided is a statement of no difference, i.e. there is no difference between the mean running speed of king cheetahs and spotted cheetahs.
Thus, the provided statement is a Null hypothesis.
(3)
The hypothesis statement is:
"The mean length of African elephant tusks has changed over the last 100 years."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis here would be there is no change in the mean length of African elephant tusks over the last 100 years.
Thus, the provided statement is a Alternate hypothesis.
(4)
The hypothesis statement is:
"The risk of facial clefts is equal for babies born to mothers who take folic acid supplements compared with those born to mothers who do not."
According to the hypothesis statement, we known that the test to be performed is for the difference between the proportion of risk of facial clefts for babies born to mothers who take folic acid supplements and with those born to mothers who do not.
The null hypothesis here would be that there is no difference between the two risk proportions.
Thus, the provided statement is a Null hypothesis.
(5)
The hypothesis statement is:
"Caffeine intake during pregnancy affects mean birth weight."
According to the hypothesis statement, we known that the test to be performed is for the significance of single mean.
The null hypothesis of this test will be that the mean birth weight is not affected by the caffeine intake during pregnancy.
Thus, the provided statement is a Alternate hypothesis.
what the square root of 280
Answer:
2√70
Step-by-step explanation:
√280
Simplify:
Take out 4
2√70
Answer:
16.7332005307
Step-by-step explanation:
Rewrite 280 as 2 ^(2) ⋅ 70 .
Factor 4 out of 280 .
√ 4 ( 70 )
Rewrite 4 as 2^(2) .
√ 2 ^(2 )⋅ 70
Pull terms out from under the radical.
2√ 70
The result can be shown in multiple forms.
Exact Form:
2 √ 70
Decimal Form:
16.73320053....
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
In the attached file
obteber dos números tales que la suma de uno de ellos con el doble del cuadrado del otro sea igual a 7776 , y el producto de ambos sea máximo
Answer: the numbers are 5,111.3 and 35.74
Step-by-step explanation:
I will answer this in English.
We have the numbers X and Y, ad we have that:
X + 2*Y^2 = 7776
X = 7776 - 2*Y^2
Now we also want that the product of X and Y is a maximum.
The equation of maximum product is
P(Y) = X*Y = (7776 - 2*Y^2)*Y
= 7776*Y - 2*Y^3
Now, to find the maximum we must derivate and find the value where P'(Y) is equal to 0
P'(Y) = 7776 - 6*Y^2 = 0
7776 = 6*Y^2
Y = √(7776/6) = 35.74
Now, we replace this value in the equation for X and we can find X:
X = 7776 - 2*Y^2 = X = 7776 - 2*(35.74)^2 = 5,111.3
What is the approximate height of the cylinder ? Use 3.14 for pi and if necessary round to the nearest tenth. V= 3.14 ft 3.
Answer:
So the value of h and r are both 1 inch
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of the cylinder = 3.14 ft³
And π = 3.14
Dividingthrough by π
r²h = ft³
So the possible out come of r and h is only one because r² must be equal to one and the product of the two must be equal to one.
So the value of h and r are both 1 inch
Answer:3 ft
Step-by-step explanation:
What’s the correct answer for this?
Answer:
its 7.5
Step-by-step explanation: subscribe when i have channel set
Answer:
D. = 8.1
Step-by-step explanation:
In the attached file
answer this ! please
Determine the volume of sphere with a radius of six inches. What is the volume of the sphere in terms of π?
Answer:
288π inch³
Step-by-step explanation:
V=4
/3πr³
by substituding in formulae
4/3*216π
=288π inch³
hope this helps
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A bag contains 26 tiles letters a through z find the probability of drawing two vowels with replacement find the probability of drawing two vowels without replacement round the answers to the nearest thousandths which event is independent which event is dependent
Answer:
With replacement, 0.037, independent
Without replacement, 0.031, dependent
Step-by-step explanation:
There are 5 vowels (not including y).
The probability the first letter is a vowel is 5/26.
With replacement, the probability the second letter is a vowel is also 5/26.
The total probability is (5/26) (5/26) = 0.037.
Since the first letter is replaced, the probability of the second letter is not affected, so the events are independent.
Without replacement, the probability the second letter is a vowel is 4/25.
The total probability is (5/26) (4/25) = 0.031.
Since the first letter is not replaced, the probability of the second letter is affected, so the events are dependent.