Answer:
x ≅ 79.1
Step-by-step explanation:
10log(4x) = 25
2log(4x) = 5
log((4x)²) = 5
(4x)² = 10⁵
16x² = 100,000
x² = 6,250
x ≅ 79.1
(A) 79.06 is the correct answer!
Select all that apply.
Classify the triangle.
scalene
isosceles
equilateral
equiangular
obtuse
right
acute
Answer:
Equilateral, equiangular, acute
Step-by-step explanation:
Since it is an equilateral angle, then it is equiangular and its legs are congruent. Since it has no angle greater than 90º then it is not obtuse. As all angles sizes 60º their measure are equal to under to 90º, this triangle is an acute one. No 90º angle no right angle.
So, in short.
This is a(n)
Equilateral, equiangular and acute
What is the value of y?
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.
Then, according to the figure we have to:
[tex]x + y + y = 180[/tex]
Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:
[tex]x = 180-114\\x = 66[/tex]
So we have to:
[tex]66 + 2y = 180\\2y = 180-66\\2y = 114\\y = \frac {114} {2}\\y = 57[/tex]
Finally, "y" is equal to 57 degrees.
Answer:
Option C
The value of y in the triangle is,
⇒ y = 57 degree
For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees.
Then, according to the figure we have to:
⇒ x + y + y = 180
Where "x" represents the angle of the left side of the triangle, we have that "x" is given by:
x = 180 - 114
x = 66 degree
So we have to:
66 + 2y = 180
2y = 180 - 66
2y = 114
y = 57 degree
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Vertical angles are congruent. Two nonadjacent angles formed by two intersecting lines are vertical angles.
Answer:
A
Step-by-step explanation:
If two nonadjacent angles formed by two intersecting lines = Vertical angles= congruent
Then
Two non adjacent angles formed by two intersecting lines are congruent
Answer:
a
Step-by-step explanation:
Two non adjacent angles formed by two intersecting lines are vertical angles.
What is the length of side BD?
Answer: 26.1
Step-by-step explanation:
[tex]cos\theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos(40^o)=\dfrac{20}{BD}\\\\\\BD=\dfrac{20}{cos(40^o)}\\\\\\BD=26.1[/tex]
milk and cream are mixed together for a recipe. the total volume of the mixture is 1 cup. if the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
Answer:
answer is 1/4 cup
Step-by-step explanation:
Answer:
Amount of cream in cups [tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
Let x be the amount of cream in cups.
Amount of milk = 1 - x cups.
The milk contains 2% fat and cream contains 18% fat.
The mixture contains 6% fat, so we have
[tex]1 \times \frac{6}{100}=x \times \frac{18}{100}+(1-x) \times \frac{2}{100}\\\\6=18x+2-2x\\\\16x=4\\\\x=\frac{1}{4}[/tex]
Amount of cream in cups [tex]=\frac{1}{4}[/tex]
Solve the equation 3x - 13y = 2 for y.
Answer:
[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]
Step-by-step explanation:
Move 3x to the other side, since 3x is being moved to the other side the sign will change from a positive to a negative
[tex]-13y = -3x+2[/tex]
Divide both sides by 13
[tex]y = \frac{3}{13}x-\frac{2}{13}[/tex]
Hey there! :)
3x - 13y = 2 ; solve for y.
In order to solve for y, we must isolate it by getting it onto its own side. We can do this by subtracting 3x from both sides.
-13y = -3x + 2
Then, divide both sides by -13.
-13y ÷ -13 = (-3x + 2) ÷ -13
Simplify.
y = 3/13x - 2/13
Therefore, [tex]y = \frac{3}{13}x- \frac{2}{13}[/tex]
Hope this helped! :)
in the parallelogram, angle QRP = 32 and angle PRS = 84. find angle PQR.
jane and ben share a lottery win in the ratio 7:3, if Jane's share of the money is $5600, how much does ben recieve
Let the Total Amount of money won in Lottery be : L
Given - Jane and Ben share the Lottery in the Ratio 7 : 3
[tex]\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}[/tex]
[tex]\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}[/tex]
Given : Jane's share of money is $5600
[tex]\mathsf{\implies \dfrac{7L}{10} = 5600}[/tex]
[tex]\mathsf{\implies L = \dfrac{56000}{7}}[/tex]
[tex]\mathsf{\implies L = 8000}[/tex]
[tex]:\implies[/tex] Total Lottery Money = $8000
[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}[/tex]
[tex]\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}[/tex]
[tex]\implies \mathsf{Ben's\;Share = \left(3 \times 800\right)}[/tex]
[tex]\implies \mathsf{Ben's\;Share = 2400}[/tex]
Answer : Ben received $2400
Answer:
Ben's share = $2400
Step-by-step explanation:
Ratio = 7:3
Jane's share = 7x
Ben's share = 3x
7x = 5600
x = 5600/7 = $ 800
Ben's share = 3x = 3*800 = $2400
Say your car doesn’t run on straight gasoline and you have to mix the oil with gas together in a specific ratio of 2.4 fl oz of oil for every gallon of gasoline. If you have 1.5 gallons of gas, how much oil should you add?
Answer:
3.6 fl oz
Step-by-step explanation:
figure out the percentage of the gallon that was used in the original ratio, in this case 1 that was used in 1.5. thats 150%
so no multiply 2.4 by 1.5 to get 3.6
to check work divide both ratios and see if its the same number (i checked)
For 1.5 gallons of gasoline, you should add 3.6 fluid ounces of oil to maintain the required ratio of 2.4 fl oz of oil per gallon of gas.
To calculate how much oil is needed for 1.5 gallons of gasoline when the mixture requires 2.4 fl oz of oil per gallon of gasoline, one can use a simple proportion:
2.4 fl oz oil / 1 gallon of gas = x fl oz oil / 1.5 gallons of gas
Solve for x to find the amount of oil needed for 1.5 gallons of gas:
x = 2.4 fl oz oil * 1.5 gallons of gas
We can multiply 2.4 fl oz by 1.5 to get the amount of oil:
x = 3.6 fl oz oil
Therefore, you should add 3.6 fluid ounces of oil to your 1.5 gallons of gasoline to achieve the correct mixture.
I need help with this one too
Answer:
B
Step-by-step explanation:
I'm pretty sure that the shaded space represents all possible solutions, meaning that the X has to be greater than or equal to 2.
The list shows the final exam grades for Ms. Gold's math class. Make a stem-and-leaf plot for the data.
66,98,92,91,69,55,53,90,67,74,57,58,60,59,86,92,63,55,51,84
To create a stem-and-leaf plot, first, we need to organize the data into stems (tens digit) and leaves (ones digit). For the given data, we can organize it as follows:
How to solveStem | Leaf
5 | 1 3 5 5 7 8 9
6 | 0 3 6 7 9
7 | 4
8 | 4 6
9 | 0 1 2 2 8
The data is then demonstrated by a stem-and-leaf plot as follows:
51, 53, 55, 55, 57, 58, 59, 60, 63, 66, 67, 69, 74, 84, 86, 90, 91, 92, 92, 98
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f(x)x^2-2x and g(x)=6x+4 for which value of x does (f+g)(x)=0
Answer:
(f+g)(x)
Step-by-step explanation:
(f+g)(x)=
[tex] {x}^{2} - 2x + 6x + 4 = {x}^{2} + 4x + 4[/tex]
[tex](x + 2)(x + 2) = 0[/tex]
[tex](x + 2) = 0 \\ x = - 2[/tex]
Need answer ASAP please! X=
1
3
7
Answer: i believe its 3
Step-by-step explanation:
Answer:
The correct answer is second option
3
Step-by-step explanation:
From the figure we can see that, a circle.
The two lines from a point cut the circle.
To find the value of x
From the figure we can write, the products of parts of line segments are equal.
Therefore,
4 * 9 = x * 12
x = (4 * 9)/12
= 3
Therefore the correct answer s second option
x = 3
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
303640455490
p •
= 36
p =
%
Answer: 40%
Step-by-step explanation:
You can set up a ratio to help you solve the problem. See the paper attached. (:
The percentage of pastrami sold was 40 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Number of sandwiches sold in one day = 90
Number of pastrami in 90 sandwiches = 36
To calculate the percentage of pastrami in sandwiches , we divide the total number pastrami to the total number of sandwiches and multiply by 100
So , percentage of pastrami = ( 36 / 90 ) x 100 %
= ( 4 / 10 ) x 100 %
= 4 x 10 %
= 40 %
Hence , The percentage of pastrami sold was 40 %
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jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of medium pizzas .How many large and how many medium pizzas did they buy
Jacob bought 3 medium and 6 large pizzas for his class party, as the large pizzas were twice the amount of medium pizzas and the total number was 9.
Explanation:Jacob bought a total of 9 pizzas for his class party. The condition given is that the amount of large pizzas was twice the amount of medium pizzas. Let's define the number of medium pizzas as x. Therefore, the amount of large pizzas would be 2x. Since the total number of pizzas is 9, we can write the equation x + 2x = 9. Adding the terms together gives us 3x = 9. Dividing both sides of the equation by 3, we find that x = 3. This means Jacob bought 3 medium pizzas and 2 times 3, which is 6 large pizzas for his class party.
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons?
Answer:
We know
1 jar = 500 buttons
5 people bring 330 buttons EACH
We can find/solve by...
people x buttons = total buttons
total buttons / 500 = number of jars needed
So..
5 x 330 = 1650
1650 / 500 = 3.3
Your answer:
4 jars
Explanation
It's impossible to have 3.3 jars, so you must round up.
Step-by-step explanation:
The number of jar necessary to hold all buttons is 4 jars.
What is a unitary in math?Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given that
1 jar holds = 500 buttons
5 people = 330 buttons each
So,
Total buttons 5 people bring
=330*5
=1650 buttons
Now,
number of jars needed= total buttons/500
number of jars needed= 1650/500
number of jars needed= 3.3 jar
Hence, the number of jars needed is 4 jars
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What is the slope of the line y = 3?
Answer here
Answer:
The slope of the line y=3 is 0
Step-by-step explanation:
We need to find the slope of the line y =3
the general form of the equation is
y = mx+b
where m is the slope and b is the y-intercept.
Looking at the given equation
y=3
We can write it as
y =0(x) + 3
So, the slope of the line y=3 is 0
Answer:
The slope is 0
Step-by-step explanation:
Note that [tex]y = 3[/tex] is the equation of a horizontal line that intersects the y-axis at point (0, 3).
The slope of a line is a measure of how the variable y varies when x increases or decreases. In this case, the variable y always has the same value. Therefore the slope is zero.
All horizontal lines have slope [tex]m = 0[/tex]
Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles. A person draws
one marble from each bag. Find the probability that both marbles are white.
2/5
3/5
9/14
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Bag A:
White = 3
Total = 3 White + 2 Red = 5
Prob (white marble from A) = [tex]\frac{3}{5}[/tex]
Bag B:
White = 6
Total = 6 White + 3 Red = 9
Prob (white marble from B) = [tex]\frac{6}{9}[/tex]
Prob (white from Bag A and white from Bag B)
= Prob (white marble from A) x Prob (white marble from B)
= [tex]\frac{3}{5}[/tex] x [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{5}[/tex]
factor -24a^3b^3c^3 - 84a^4b^2c
The answer to your question is b.
An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating area as shown in the plan view below..
Use the following formulae:
Perimeter of a rectangle = 2l + 2w
Circumference of a circle = πd
π = 3.14
Area of a rectangle = lw
Area of a circle = πr²
What is the total perimeter of the pitch and seating area?
m
What is the total area of the pitch and seating area?
m2
Answer:
Perimeter: 174.8 m
Area: 1,394 sq m
Step-by-step explanation:
First, the perimeter.
Before we start, let's calculate the circumference of the half-circles at the ends of the field.
The measurement says 2,000 cm, so let's convert it to 20 m for ease.
Circumference of a circle: πd, where d = diameter.. in our case d = 20 m
Circumference of a 20m diameter circle: 20π = 62.8 m
We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m
We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m
We also need to find out the space between the seating area... We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m
So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:
P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m
The total perimeter is then of 174.8 m
For the area, we need to calculate the area of all forms:
Large rectangular pitch:
LR = 40 x 20 = 800 sq m
The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.
AC = π (10)² = 100 π = 314 sq m
Then the seating areas:
SA1 = 25 x 8 = 200 sq m
SA2 = 10 x 8 - 80 sq m
Then, we add up everything:
TA = LR + AC + SA1 + SA2
TA = 800 + 314 + 200 + 80 = 1,394 sq m
Vhich solid figure has two parallel bases that are congruent polygons and
rectangular faces joining the bases?
A. Pyramid
B. Cone
c. Cylinder
D. Prism
Answer:
D
Step-by-step explanation:
Prism is the solid figure that has two parallel bases that are congruent polygons and rectangular faces joining the bases, i.e. option D.
What is prism?A prism is a 3D figure with two parallel bases and two congruent bases. The bases, which also have two of the faces, can be any polygon and are congruent. The other faces are rectangles and joins bases. A prism is named according to the shape of its bases. i.e. Triangular prism, Rectangular prism, etc.
We have,
A solid figure with two parallel and congruent bases.
Now,
From the above mentioned definition,
i.e.
A prism is a 3D figure with two parallel bases and two congruent bases. The bases, which also have two of the faces, can be any polygon and are congruent. The other faces are rectangles and joins bases.
So,
It is clear that the given solid figure is of prism.
Hence, we can say that the Prism is the solid figure that has two parallel bases that are congruent polygons and rectangular faces joining the bases, i.e. option D.
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Is the square root of 882252554089 a whole number or not?
Answer: It is a whole number.
Step-by-step explanation: As the square root of 882252554089 is equal to 939283, which has no decimal or fraction included, it is a whole number.
Aretha wanted to gather data about the cost of local bowling leagues in her area. She plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20.
Identify and interpret the y-intercept in this model.
The y-intercept is 20. This is the cost per month.
The y-intercept is 20. This is the cost of registration.
The y-intercept is 15. This is the cost of registration.
The y-intercept is 15. This is the cost per month.
Answer:
B
Step-by-step explanation:
Answer: Option B) The y-intercept is 20. This is the cost of registration.
Given model is: y = 15x + 20.
We compare this equation with y = mx + b.
So,
the slope = m = 15.
y-intercept = b = 20.
Given: The cost consist of a one-time registration fee. It means the fixed cost is the one-time registration fee. It will also be the y-intercept.
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Which of the following represents the factorization of the trinomial below?
8x^2 + 10x+ 3
A. (4x+3)(2x + 3)
B. (4x+3)(2x+1)
C. (4x + 1)(2x + 3)
D. (4x+ 2)(3x + 1)
The correct factorization of the trinomial 8x^2 + 10x+ 3 is option B that is (4x+3)(2x+1).
What is factorization?
It means writing several factors usually of smaller or simpler objects of the same kind.
How to do factorization?
We have been given the following trinomial.
[tex]8x^{2} +10x+3[/tex]
We need 2 numbers in between which when multiplied gives 24 and when adds give 10. The required numbers are 6 and 4.
So,
[tex]8x^{2}[/tex]+6x+4x+3
2x(4x+3)+1(4x+3)
(2x+1)(4x+3)
Hence the required factorization is (2x+1)(4x+3).
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Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure but are not arranged in the correct order.
1·) x= 15
2.) 75 + 15= 90
3,) 75+x= 90
4,) 75-75 + x = 90-75
Which sequence shows the correct order of the steps Virginia should follow to find the measure of the unknown
A 1234
B 3412
C 4213
D 2314
Answer:
Option B 3412
Step-by-step explanation:
we know that
step 1
75°+x=90° -----> by complementary angles
step 2
Solve for x
Subtract 75 both sides
75°-75°+x=90°-75°
step 3
x=15°
step 4
Verify
Substitute the value of x in the equation of the step 1
75°+15°=90°
90°=90° ----> is correct
therefore
The correct order is
3-4-1-2
1
2.1.3 Quiz: What is a Function?
Question 7 of 10
2 Ports
The amount of time it takes to complete a reading assignment might be a
function of which of the following?
O
A. The cost of the book
O
B. The year the book was published
O
C. The number of pages in the assignment
Answer:
C. The number of pages in the assignment.
A function is an expression that defines the relationship between two variables. The amount of time it takes to complete a reading assignment might be a function of the number of pages in the assignment. So, option C is correct.
What is a function?A function is an expression, that states the relationship between the variables in that expression.
Ley m and n are two variables and are related to each other with a function, f(m) = n.
So, the variable m is called the independent variable and the variable n is called the dependent variable.
Given statement:The given statement is "The amount of time it takes to complete a reading assignment might be a function of-"
From the options,
cost of the variable does not affect the time required to read and the year of publishing also does not affect the time required to read. But the number of pages in the assignment affects the time required to read. As the number of pages increases, the time required to read them also increases, and as the number of pages decreases, the time required to read them also decreases.So, here the time is a dependent variable, and the number of pages in the assignment will be the independent variable.
Thus, option c is correct.
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A sequence is defined by the following:
A1 = 6 and an = -1.2n-1
What is the 4th term?
-12.4416
-10.368
10.368
12.4416
Answer:
Step-by-step explanation:
a1 = 6
a2 = -1.2*a_(n-1)
a2 = -1.2*a_1
a2 = -1.2 * 6
a2 = -7.2
a3 = -1.2*a_(n-1)
a3 = -1.2*a_2
a3 = -1.2 * - 7.2
a3 = 8.64
a4 = -1.2 * a_3
a4 = -1.2 * 8.64
a4 = -10.368
Answer: The correct option is (B) -10.368.
Step-by-step explanation: Given that a sequence is defined b the following :
[tex]a_1=6,~~~a_n=-1.2a_{n-1}.[/tex]
We are to find the 4-th term.
To find the fourth term, we need to start from finding the first term.
If n = 2, then the second term is given by
[tex]a_2=-1.2\times a_1=-1.2\times 6=-7.2.[/tex]
If n = 3, then the third term is given by
[tex]a_3=-1.2\times a_2=-1.2\times (-7.2)=8.64.[/tex]
If n = 4, then the fourth term is given by
[tex]a_4=-1.2\times a_3=-1.2\times 8.64=-10.368.[/tex]
Thus, the fourth term of the given sequence is -10.368.
Option (B) is CORRECT.
what is the value of x? please hurry.
Answer:
8
Step-by-step explanation:
Use the pythagorean theorem. The hypotenuse (c) is 10, and one of the sides, let's say (b), is 6. Therefore, we need to solve for a and plug and chug. Let's do that:
[tex]c^2 = a^2+b^2[/tex]
[tex]a = \sqrt{c^2-b^2}[/tex]
Now let's plug in what we know:
[tex]a = \sqrt{10^2-6^2} = \sqrt{64} = 8[/tex]
Therefore, a = x = 8
Base your answer to the question on the diagram shown below.
What is the probability of a dart (thrown at random) landing in the area marked F?
The probability of a dart (thrown at random) landing in the area marked F is:
1/16
Step-by-step explanation:We know that the probability of an outcome is defined as the chance of occurrence of an outcome and it is calculated as the ratio of number of favorable outcomes to the total number of outcomes.
We first make equal sections i.e. we divide the figure into equal sections and observe that:
A and D is made up of 4 sections.
B,C and E is made up of 2 sections.
F and G are made up of 1 section.
This means that the total number of sections are: 4+4+2+2+2+1+1=16
Hence,
Probability(landing on F)=1/16
( Since there are total 16 sections and F is made up of 1 )
Does anyone know this answer to this questions
ANSWER
-4.0
EXPLANATION
The given trigonometric equation is
[tex] \tan \: 45 \degree - 10 \: \cos \: 60 \degree[/tex]
From special angles or using the unit circle.
[tex]\tan \: 45 \degree = 1[/tex]
[tex] \cos \: 60 \degree = \frac{1}{2} [/tex]
We make the substitution to get:
[tex]1 - 10 ( \frac{1}{2} ))[/tex]
This simplifies to:
[tex]1 - 5 = - 4[/tex]
Hence the correct answer is -4.0