Answers
Answer:
x=3
Step-by-step explanation:
Isolate x.
[tex]4(5)^x=500[/tex] Divide both sides by four
[tex]5^x=125[/tex] Take [tex]log_{5}[/tex] of both sides. In other words, what power must you raise 5 to in order to get 125? ([tex]5^3=125[/tex])
x=3
Related Questions
Expand and simplify
√2(3-4√2)
Answers
[tex]3\sqrt{2} - 4 * (\sqrt{2})^2 = 3\sqrt{2} - 8[/tex]
Answer = [tex]3\sqrt{2} - 8[/tex]
Describe the pattern that you see in the table for the right column. Please help me describe it in complete sentences. Extra points!
Answers
The pattern on the table is x increases:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantHow to describe the pattern?The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantRead more about trigonometry functions at:
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Maddie mailed y letters in january. she mailed 3 times
as many letters in february. in march, she mailed 10
letters more than half of what she mailed in january and
february together. if a letter costs $0.37 to mail, which
expression represents the amount of money, in dollars,
maddie spent mailing letters in march?
Answers
The expression which shows the amount of money, in dollars Maddie spent on mailing letters in March is 3.7 +0.74 y.
Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.
Expression is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.
Letters mailed in January=y
Letters mailed in February=3y
Letters mailed in March=10+(y+3y)/2
=10+2y
Amount of mailing of 1 letter=$0.37.
Amount of mailing of letters in March=0.37(10+2y)
=3.7+0.37*2y
=3.7+0.74y
Hence the expression which shows the amount of letters mailed in March is 3.7+0.74 y.
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330 racers, 284 completed, 33 quit,13 were disqualified, what percentage didn't finish?
Answers
Answer:
13.94%
Step-by-step explanation:
46 out of 330 did not finish.
46/330 = .139393939...
Multiply by 100 to turn into a percent. Rounding to the hundredths place, you get1 13.94%
A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail
Answers
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
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Finding probability, please help!! show all work!!
Answers
Answer:
9/28 and 32.1%
Step-by-step explanation:
So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)
This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.
The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.
Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: [tex]0.3214[/tex]. Multiplying this by 100 gives you: [tex]32.1[/tex]%
For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions
34. f(x) = 4 − x, g(x) = −4x
Answers
Answer:
The value of [tex]$(f \circ g)(x)$[/tex] is [tex]$4+4 x$[/tex] and [tex]$(g \circ f)(x)$[/tex] is [tex]$4 x-16$[/tex].
Step-by-step explanation:
It is given in the question functions f(x) as 4-x and g(x)=-4x.
It is required to find [tex]$(f \circ g)(x)$[/tex] and [tex]$(g \circ f)(x)$[/tex].
To find [tex]$(f \circ g)(x)$[/tex], substitute g(x)=-4x for x in f(x) and simplify the expression.
To find [tex]$(g \circ f)(x)$[/tex], substitute f(x)=4-x for x in g(x) and simplify the expression.
Step 1 of 2
Substitute g(x)=-4x for x in f(x) and simplify the expression.
[tex]$$\begin{aligned}&(f \circ g)(x)=f(g(x)) \\&(f \circ g)(x)=4-g(x) \\&(f \circ g)(x)=4-(-4 x) \\&(f \circ g)(x)=4+4 x\end{aligned}$$[/tex]
Step 2 of 2
Substitute f(x)=4-x for x in g(x) and simplify the expression.
[tex]$$\begin{aligned}&(g \circ f)(x)=g(f(x)) \\&(g \circ f)(x)=-4 f(x) \\&(g \circ f)(x)=-4(4-x) \\&(g \circ f)(x)=4 x-16\end{aligned}$$[/tex]
10 points
The price of a technology stock was $9.69 yesterday. Today, the price rose to $9.80. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answers
The explanation is using the higher or new value and divide it by the inceptive value which equals about 1%
9.80 divided by 9.69 = 1%
complete mapping of the vertices of DEF what is the rule that describes a reflection across the line y=x
Answers
The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)
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Draw triangle ABC with vertics at A(1,6), B (1,1) and C (5,1). In this triangle, AB+ BC=AC. Next use the GeoGebra tools to draw triangle DEF such that AB=DE, meausurement of angle E=90 degrees , and EF=BC. Paste a picture of your drawing in the answer box
Answers
The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
What is the triangle about?A triangle is known to be a kind of a polygon that is made up of three edges and also made up of three vertices.
It is regarded as a key shapes in geometry as its vertices is often denoted with A, B, and C.
The points will be taken as: A(1,6), B(1,1) and C (5,1)
=AB + BC = AC
Therefore, The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
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change the unit of capacity 12 c = qt
Answers
Answer:
Step-by-step explanation:
Comment
There are 4 cups in a quart.
There are 12 cups in x quarts.
Solution
4/12 = 1 / x Cross multiply
4x = 12*1 Combine
4x = 12 Divide both sides by 4
4x/4 = 12/4
x = 3 quarts
Answer
3 quarts.
1.
A factory stacks boxes according to their weights. To provide stability to the stacks of boxes, heavier boxes are placed at the bottom of the stack, and lighter boxes are placed at the top. However, because of the boxes’ material, a box can only be placed on top of another if its weight is exactly half the weight of the lower box. Also, due to the height of the warehouse ceiling, boxes can only be stacked 4 levels high. The factory director has asked for your help in answering some questions about these boxes.
a. Explain how you would find the weight of each stacked box if you knew the weight of the bottom box. Find the weight of each box in a stack of 4 boxes if the bottom box weighs 10 pounds.
b. Eventually, these stacks of boxes will go onto pallets for shipping. We need to know how much each stack weighs in order to know how many stacks we can put on each pallet, but the bottom boxes do not necessarily weigh 10 pounds. In fact, we don’t know how much they weigh at all! Write and simplify an expression to find the weight of one stack of 4 boxes based on the unknown weight of the bottom box.
c. Each stack needs to weigh less than 100 pounds. Write and solve an inequality to find the maximum weight of the bottom box. What would be the possible range of weights for this box? It may help you to consider a graph of the solution to your inequality.
I rlly need help for c, I got the other 2.
Answers
= 8b/8 + 4b/8 + 2b/8 + 1b/8
= 15/8 b
A stack must weigh less than 100 pounds
15/8 b < 100
b < 100 x 8/15 = 53 1/3 pounds
If boxes have a minimum weight of 1 pound then
for stacks that contain 4 boxes the range of b is [8, 53 1/3)
and if stacks contain 1 to 4 boxes the range of b is [1, 53 1/3)
If the only restriction is a maximum of 100 then the range of b is [0, 53 1/3)
Please help, question is below
Answers
Answer:
(a) The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.
Step-by-step explanation:
The possible numbers of real zeros can be found using Descarte's Rule of Signs.
RuleWhen signs of coefficients of terms of the polynomial are listed in order of decreasing degree, the number of sign changes can be counted. That number is the number of possible positive real zeros of the polynomial.
When the signs of odd-degree terms are changed, the number of sign changes becomes the possible number of negative real zeros.
The actual number of real zeros may be less by a multiple of 2. (The zeros may be complex, and complex zeros come in pairs.)
ApplicationThe signs of the terms in the given polynomial are ...
+ - + + + . . . . . 2 sign changes: 2 or 0 positive real zeros
When the signs of odd-degree terms are changed, they become ...
+ + + - + . . . . . 2 sign changes: 2 or 0 negative real zeros
Descarte's rule of signs lets us conclude ...
The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.__
Additional comment
When we graph the function, we find there are no real zeros. All four of the zeros are complex.
does anyone know how to do this ?
Answers
this is your answer
I hope you get your answer
Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Answers
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.
In the diagram below, which two angles form a linear pair.
O 6 and 7
O 6 and 5
O 7 and 5
O 7 and 8
Answers
Answer:
6 and 5
Step-by-step explanation:
angles are a linear pair of supplementary angles, if they are directly neighboring, are created by 2 intersecting lines, and sum up to 180°.
the only 2 angles fulfilling all these criteria are 6 and 5.
can someone pls define closer property
Answers
The closure property is defined below.
What is Closure Property?According to Closure Property, the set of numbers on which the mathematical operation like addition, subtraction, and multiplication are performed the result will be the number of the same set.
An example of this is if addition is done on two whole numbers the output will be a whole number.
The closure Property is valid for Whole numbers, Natural Numbers, Rational Numbers, Real Numbers, and Integers
For Natural Numbers: Addition of a + b = N
(a, b and N = natural numbers)
Thus, the closure property is defined.
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If the critical z-value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error
Answers
2.46
A Type I error is rejecting the null when it is true.
If the critical value is 2.45, and you have a test statistic of 2.46, you have the least chance among the other choices of rejecting the null and it happens to be true.
We got another hypothesis here and our alternative that is less than five. So that's how we're gonna write it.
We're gonna be looking at a left tail test since it's less than the mean, Our means, always going to be in the middle here. And what we're trying to calculate is the probability that this is true.
The level of significance which is selected in
Step 1 (e.g., α =0.05) dictates the critical value.
For example, in an upper-tailed Z test, if α =0.05 then the critical value is Z=1.645.
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What’s the answer to the question
Answers
Please check this
If z - 3 is an odd number, which one of the following must be an odd number ?
A) z
B) z - 2
C) z + 3
D) z + 4
Answers
Option C) is correct z +3 is also an odd number
z- 3 is odd number,
odd number are given as 1, 3, 5, 7, 9,11,.. etc.
since z - 3 odd number
mean while
if we add 3 to z will also be the odd number cause subtracting 3 twice from z-3 returns the reverse value i.e.
so z + 3 also an odd number.
Thus, z +3 is also an odd number
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Translate into an algebraic expression:
m decreased by 47%
(Please Help, Will Mark Brainliest for correct verified answer)
Answers
ANSWER :
= m - ( m of 47/100 )
(or)
= m of (53/100)
Mark BRAINLIEST
The algebraic expression for "m decreased by 47%" is m - 0.47m.
To translate "m decreased by 47%" into an algebraic expression, we first need to understand the meaning of the phrase. "Decreased by" indicates a subtraction operation, and "47%" represents 47 percent, which is equal to 0.47 in decimal form.
Let's break down the expression step by step:
"m" represents the original quantity we want to find.
"Decreased by" indicates subtraction.
"47%" is equivalent to multiplying the original value "m" by 0.47.
Combining all these elements, the algebraic expression for "m decreased by 47%" is:
m - 0.47m
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Which descriptions can describe more than one triangle? Select two options.
I side lengths of 6 ft, 8 ft, and 10 ft
D
angle measurements of 35°, 35°, and 110°
EI
angle measurements of 30°, 40°, and 50°
I angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm 6
Answers
Answer: (35,35,110) and (40,60,80)
Step-by-step explanation:
If given all 3 side lengths, it can only describe one triangle. Angles alone are not enough to guarantee how a triangle looks.
side lengths of 6 ft, 8 ft, and 10 ft - no because all sides are defined
angle measurements of 35°, 35°, and 110° - yes because three angles can describe more than one triangle
angle measurements of 30°, 40°, and 50° - no because the sum of the angles is 120 degrees. Triangles have a combined total of 180 degrees
angle measurements of 40°, 60°, and 80° - yes because 3 angles
side lengths of 4 cm, 6 cm, and 9 cm 6 - no because all sides are defined
Brainliest please :D
Ria surveyed 20 classmates to ask what types of pets they had at home. calculate the relative frequency of each pet type.
write your response in exact decimals.)
pet type
count
relative frequency
dog
8
cat
7
bird
3
fish
2
total
20
Answers
The relative frequencies for all pets are given-
The relative frequency for dog is 0.4.
The relative frequency for cat is 0.35.
The relative frequency for bird is 0.15.
The relative frequency for fish is 0.1
What is relative frequency?The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.
Relative Frequency = Subgroup frequency/ Total frequency.
Relative Frequency = f/ n.
where, f = total frequency
n = subgroup frequency
Calculation for the relative frequencies of the pet types:
(1) Relative frequency for dog:
Total frequency is 20.
The frequency for dog is 8.
Relative frequency for dog = frequency for dog/total frequency
= 8/20
= 0.4
Relative frequency for dog = 0.4.
(2) Relative frequency for cat:
Total frequency is 20.
The frequency for cat is 7.
Relative frequency for cat = frequency for cat/total frequency
= 7/20
= 0.35
Relative frequency for cat = 0.35.
(3) Relative frequency for bird:
Total frequency is 20.
The frequency for bird is 3.
Relative frequency for bird = frequency for bird/total frequency
= 3/20
Relative frequency for bird = 0.15.
(4) Relative frequency for fish:
Total frequency is 20.
The frequency for fish is 2.
Relative frequency for fish = frequency for fish/total frequency
= 2/20
Relative frequency for fish = 0.1.
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what is 9.6=p/5.4 algebra
Answers
See attached photo for explanation.
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
Which of the following pairs of lines are perpendicular to each other?
Answers
Answer:
which lines
Step-by-step explanation:
draw a picture
Find the principal which amounts to $918 in 1 year at a simple interest
of 2% per annum
Answers
Answer:
P = $900
Step-by-step explanation:
Simple Interest Formula: [tex]A = P(1+rt)[/tex]
Where A is the final amount,
P = Principal
r = Interest Rate in Percent or [tex]\frac{r}{100}[/tex] per annum
t = time in years
From the information given in the question,
A = $918
r = 2% per annum or [tex]\frac{2}{100}[/tex]
t = 1 year
Lets substitute these values to find P, the principal.
[tex]P(1+(\frac{2}{100} )(1))=918\\P(1+0.02)=918\\1.02P=918\\P = \frac{918}{1.02} \\=$900[/tex]
Therefore, P = $900
What is the measure of arc ef
Answers
Answer: [tex]128^{\circ}[/tex]
Step-by-step explanation:
By the inscribed angle theorem, minor arc EG measures 92 degrees.
Since the circumference of a circle measures 360 degrees, arc EF measures [tex]360-140-92=128^{\circ}[/tex]
The measure of the arc EF = 128°.
What is an Arc?Arc is that part of the circumference of the circle which is formed by two points on the circle.
The angle subtended by an arc on the center of the circle is twice that it subtends on the circumference of the circle.
So,
The measure of arc EG = 2 * 46 = 92
The measure of arc GF = 140°
The complete circle has an angle of 360° at the center
The measure of the arc EF = 360 -mEG - mGF
The measure of the arc EF = 360 - 92 -140
The measure of the arc EF = 128°.
Therefore, The measure of the arc EF = 128°.
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Which graph represents (x,y)-pairs that make the equation y = 3x - 2 true?
Answers
Answer:
The Answer is B.
Step-by-step explanation:
If you were to look at the slope, 3x. You would look to see if the graphs have a slope of 3x. You go three up and one right.
Use the image below to complete the questions!
Step One: We need to fill in the two points that are highlighted on the graph.
Point A: (−1, ? )
Point B: ( ? ,0)
Step Two: To get from Point B to Point A, we must rise 4 and run __? So using rise over run we have m= __?
(Giving 50 points and Brainly!)
Answers
Point A: ( -1, 4 )
Point B: ( 1 ,0 )
To get from Point B to Point A, we must rise 4 and run -2 So using rise over run we have m = -2
Explanation:
After observing:
Point A is (-1, 4)Point B is (1, 0)And
[tex]\sf slope \ (m) : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope \ (m) = \dfrac{rise}{run} = \dfrac{4-0}{-1-1} = \dfrac{4}{-2} = -2[/tex]
Find the length of each segment in the following 45° - 45° - 90° right triangle. Geometry pls help!!
Answers
Answer:
10
Step-by-step explanation:
In a 45-45-90 right triangle, the hypotenuse is sqrt(2) times the length of the leg.