How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
read the photo and please answer!! please someone help me answer this and please do give explanation to your answer!
w + 3 = 16
w/3 = 16
w-3 =16
3w = 16
Answer:
w + 3 = 16
Step-by-step explanation:
"w" is "how many more weeks" and ( + ) she already did her chores for 3 weeks straight.
w + 3 = 16
make a the subject of relation x=√1/a square-c/d
I hope I wrote the question rightly
which of the following are like radicals? Check all
of the boxes that apply.
3x√√xy
-12x√√xy
-2x√√xj
x-√4x2²
-x√x²y
2√xy
Answer:
the first 2
Step-by-step explanation:
let me know if it is wrong
Give the domain and range for this situation using the graph
The domain of a function is the set of numbers over which the function is defined, and the range of the function is the set of values that the function can take when being evaluated at the elements of the domain.
On a graph, the domain can be identified as the values over the X-axis where the graph is drawn, and the range can be identifies as the values over the Y-axis where the graph is drawn.
On the graph, notice that all values from 0 to 6, including 0 but not 6, belong to the domain.
Similarly, on the graph, al vallues from 6.3 to 9.5, not including 6.3 but including 9.5, belong to the range.
Then, the domain of the function is the interval:
\(\lbrack0,6)\)The range of the function is the interval:
\((6.3,9.5\rbrack\)Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
HELP! I NEED THIS DONE IN ORDER TO PASS! Pain.
Answer:
i thi9nk its the 3rd one or the 1st one im sooooooooooooooo sorry if i gave you the wrong answer hope you pass
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 12 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 5.88 mm. What are the null and alternative hypotheses (H0 = null hypothesis and Ha = alternative hypothesis)?
A. H0: Mean= 5 and Ha: Mean is not equal to 5.
B. H0: Mean = 5 and Ha: Mean <5.
C. H0: Mean < 5 and Ha: Mean > 5.
D. H0: Mean = 5 and Ha: Mean > 5.
Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
Null hypothesis \((H_0)\) is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs. Alternative hypothesis\((H_a)\) is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. \(H_a: \text{Mean}\neq 5.8\)
So, \(H_a: \text{Mean =5.8}\)
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
5.01×10 to the power of 7
Answer: 7.92253344×10^11
Step-by-step explanation:
Answer:
50100000
Hope this helps :)
plz help me with this??!
Step-by-step explanation:
–5/6 + 7/5 = –25/30 + 42/30
= 17/30
what is1+1+1 equal?
this is a not ur typical math problem try to get it right u will get brainliest
The mathemematical sum of the three numbers 1+1+1 would give 3
Addition of numbersAddition of numbers can involve 2 or more values using the additive sign '+'. For any given sum of values, the result obtained would be greater than any of the individual value in the sum.
Here, 1 + 1 + 1 means that we are adding 1 in three places. The value obtained would be 3.
Therefore, the sum of the 1+1+1 is 3
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3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
Which sequence of transformations will result in an image that is similar to its pre image?
The sequence of transformation that produce similar image is (d) a dilation followed by a rotation
How to determine the sequence of transformationsTransformation involves changing the position and/or size of a figure.
There are four types of transformation, and they are:
DilationRotationReflectionTranslationThe representation of the types of transformation are:
Dilation: k(x, y)Rotation: rotation by anglesReflection: reflection across linesTranslation: (x + h, y + k)A dilation transformation would produce a similar image, while other transformation types would produce a congruent image
Hence, the sequence of transformation is (d)
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Help pls!! I’ll give points and brainliest!!!
Why pay cash?
Our credit charges are less than 2% of the
cash price each year.
Credit Price
Cash Price
£10 345
Deposit £1350 +
24 monthly payments of £191.36 +
Final payment of £4887.50
Is the claim in the advert true?
[4 marks]
Answer:
www.imsorryineedpoints.org
grocery store reduced the price of a loaf of bread from
$
3.70
to
$
3.57
. Find the percent change (discount rate). Round to the nearest tenth
of a percent.
Answer: Let x = percent (as decimal) 2.80 - 2.80x = 2.73 2.80x represents the price decrease. Next, we solve for x. -2.80x = -0.07 Divide both sides of the equation by -2.80. x = 0.025 Finally, multiply this by 100. x = 2.5 Percent decrease is 2.5%
Step-by-step explanation:
what is the range of the function graphed below
Answer:
-3 < y ≤ 3
Step-by-step explanation:
...............
solve for 0° < x < 360°
\(2 \cos(2x) = 7 \cos(x) \)
expected answers:
x= 104.5° , 225.5°
.....nvm..... the ans was found....
In the range of 0° x 360°, the trigonometric formula 2.cos(2x) = 7.cos(x) has two solutions: x = 104.5° or 255.5°.
The trigonometric equation 2.cos(2x) = 7.cos(x) is given in the question, and we are asked to get x given that 0° < x < 360°.
According to trigonometric identities, cos(2θ) = 2.cos²(θ) - 1.
We may solve the following expression as follows by using this identity:
2.cos(2x) = 7.cos(x),
or 2{2.cos²(x) - 1} = 7.cos(x),
or, 4.cos²(x) - 2 - 7.cos(x) = 0.
To create a quadratic equation, we replace cos(x) with k, yielding 4k² - 7k - 2 = 0.
This problem can be solved as follows:
4k² - 7k - 2 = 0,
or, 4k² - 8k + k - 2 = 0,
or, 4k(k - 2) + 1(k - 2) = 0,
or, (4k + 1)(k - 2) = 0.
The zero-product rule allows us to demonstrate that
Either, 4k + 1 = 0, implies that k = -1/4,
Or, k - 2 = 0, implies that k = 2 are true.
Since k stands for cos(x), its value cannot be 2, as we know that -1 < cos(θ) < 1.
So, cos(x) = k = -1/4 is what we got.
Using this, we can write that
in the range 0° < x < 360°, x = cos⁻¹(-1/4) = 104.5° or 255.5°.
Thus, x = 104.5° or 255.5° is the answer to the trigonometric formula 2.cos(2x) = 7.cos(x) in the range 0° x 360°.
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What is the anwers for this? 8/7 = x/6
Answer:
\(x=\frac{48}{7}\)
Step-by-step explanation:
\(\frac{8}{7} =\frac{x}{6} \\\\7x=48\\x=\frac{48}{7}\)
Answer:
48/7
Step-by-step explanation:
we need to cross multiply as it is a direct proportion
8/7 = x/6
x = 8*6/7 = 48/7
Connor had $11,430 in a savings account with simple interest. He had opened the account
with $9,000 exactly 3 years earlier. What was the interest rate?
The interest rate required to get a total amount, principal plus interest, of $11,430.00 from simple interest on a principal of $9,000.00 over 3 years is 9% per year.
What was the interest rate on the savings?We can use the simple interest formula to solve this problem:
I = P × r × t
Where I is the interest earned, P is the principal (initial amount), r is the interest rate, and t is the time in years.
We know that Connor had $11,430 in the account after 3 years, and he had initially deposited $9,000. So the interest earned is:
Interest = accrued amount - principal
I = $11,430 - $9,000
I = $2,430
Substituting the values we have into the formula, we get:
I = P × r × t
$2,430 = $9,000 × r × 3
Simplifying, we get:
r = $2,430 / ($9,000 × 3)
r = 9/100
r = 0.09
R = r × 100%
R = 0.09 × 100%
R = 9%
Therefore, the interest rate for Connor's savings account is 9%.
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124 Compare an SAT score with an ACT score. Jessica scores 1830 on the SAT. Ashley scores 27 on the ACT. Assuming that both tests measure the same thing, who has the higher score? Report the z-scores for both students.
Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.
Jessica scores 1830 on the SAT.
Ashley scores 27 on the ACT.
Assuming that both tests measure the same thing, then we have to determine who has the higher score.
Consider the z-score for Jessica's SAT score of 1830.
z = (x - μ)/σ
z = (1830 - 1498)/316
z = 332/316
z = 1.05
Consider z for Ashley, who has an ACT score of 27.
z = (27 - 21.5)/5.4
z = 5.5/5.4
z = 1.02
Jessica has the higher score because her z score on the SAT is 1.05, which is greater than Ashley's z score on the ACT, which is 1.02.
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Help quick please!! I don’t know if it’s D or C??
Answer:
I think the answer is B
Step-by-step explanation:
1.2 * 10^6 is 1,200,000
1.38 * 10^7 is 13,800,000
you just have to divide 13,800,000 by the numbers until you get to 1,200,000. So, 13,800,000 / 11.5 is 1,200,000
Hope this helps! Have an amazing day :)
Answer:
11.5
Step-by-step explanation:
we will need to divide both of them
1.38 × 10^7 ÷ 1.2 × 10^6
1.38÷1.2 × 10^7-6
= 1.15 × 10¹
= 11.5
WILL MARK BRAINLIEST!!!!
AND PLZ FOLLOWING ME
How many moles are there in 993.6 grams of potassium sulfate (K2SO4)?
Answer:
Solution given:
K₂SO₄➙1mole
K₂SO₄➙39*2+32+16*4=174g
we have
174g➙1mole
993.6g➙\( \frac{993.6}{174} \)=5.7mole
5.7moles are there in 993.6 grams of potassium sulfate (K2SO4).
Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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Que números multiplicados dan 30 y sumados dan 11
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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1.Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18, find the number.
2. sketch the parabola y=x^2 + 4x + 96, show all intercept, the axis symmetry and vertex
The solution is
a) The number is 6
b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
a)
Let the equation be represented as A
Now , the value of A is
Let the number be = n
A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18
Substituting the values in the equation , we get
2/5 ( n + 24 ) = 5n - 18
On simplifying the equation , we get
Multiply by 5 on both sides of the equation , we get
2 ( n + 24 ) = 25n - 90
2n + 48 = 25n - 90
Subtracting 2n on both sides of the equation , we get
23n - 90 = 48
Adding 90 on both sides of the equation , we get
23n = 138
Divide by 23 on both sides of the equation , we get
n = 6
Therefore , the number is 6
b)
The equation of parabola is given as
y = x² + 4x + 96
Now , the equation can be simplified as
y = (x + 2)² + 92
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
Substituting the values in the equation , we get
The vertex of the parabola is P ( -2 , 92 )
The y intercept of the parabola is ( 0 , 96 )
The axis of symmetry of parabola is x = -2
Hence , the equation of parabola is y = (x + 2)² + 92
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What is the rate of change (slope) of this graph? Explain how you found the answer.
The rate of change(slope) of the graph is 7 / 5.
How to find the rate of change(slope)?The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.
The slope(rate of change) is change in the dependent variable with respect to the change in the independent variable.
The slope is rise over run.
Therefore, let's find the slope of the graph as follows:
slope = y₂ - y₁ / x₂ - x₁
Therefore, using (0, -7) and (5, 0)
slope = 0 - (-7) / 5 - 0
slope = 7 / 5
Therefore, the slope of the graph is 7 / 5.
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Lxercise 7.3.3
Solve the following problems using strategies to solve word
problems and cross multiplication. Final answers are rounded to
the nearest hundredth.
The scale on a blueprint indicates 1inch represents 6 feet. A wall mural
costs $15.95 per linear foot. A builder has been asked to estimate the cost
3
8
to apply the mural to a wall that measures 4
What will be the cost estimate?
inches on the blueprint.
Can you solve this????? Super hard!
Answer:
\(\textbf{J. }\dfrac{1}{x^2-x}\)
Step-by-step explanation:
Factor the denominator and cancel the common factor.
\(\dfrac{x+1}{x^3-x}=\dfrac{x+1}{x(x^2-1)}=\dfrac{x+1}{x(x-1)(x+1)}=\dfrac{1}{x(x-1)}\\\\=\boxed{\dfrac{1}{x^2-x}}\)