Step-by-step explanation:
[tex] \because \: {a}^{m} . {a}^{n} = {a}^{m + n} \\ \therefore \: {4}^{8} . {4}^{2} = {4}^{8 + 2} = {4}^{10} \\ \\ \because \: ({a}^{m})^{n} = {a}^{m \times n} \\ \therefore \:({2}^{4})^{5} = {2}^{4 \times 5} = {2}^{20} \\ \\ {5}^{6} = 5 \times 5 \times 5 \times 5 \times 5 \times 5 = 15625[/tex]
The solution are:
a = 10b = 205^6 = 15625To solve for each variable using the properties of exponents, we can use the following steps:
Identify the base and exponent in each expression.
Use the properties of exponents to simplify the expressions.
Solve for the variable.
4^8 •4² = 4^a
Identify the base and exponent in each expression:
Base: 4
Exponent: 8 in the first expression, 2 in the second expression, and a in the third expression
Use the properties of exponents to simplify the expressions:
4^8 •4² = 4^(8+2) = 4^10
Solve for the variable:
4^a = 4^10
a = 10
(2^4)^5 = 2^b
Identify the base and exponent in each expression:
Base: 2
Exponent: 4 in the first expression, 5 in the second expression, and b in the third expression
Use the properties of exponents to simplify the expressions:
(2^4)^5 = 2^(4*5) = 2^20
Solve for the variable:
2^b = 2^20
b = 20
5^6
Identify the base and exponent:
Base: 5
Exponent: 6
Simplify the expression:
5^6 = 5*5*5*5*5*5 = 15625
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Which number is both a factor and a multiple of 14? A, 1 7 B. 14 C.28
Answer:
Step-by-step explanation:
The multiples of 14
Answer : 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,322,336,350,364,378,392,406,420,434,448,462,476,490,504,518,532,546,560,574,588,602,616,630,644,658,672,686,
Answer:
A 1
Step-by-step explanation:
1, 2, 7, 14 14 28 42 56 70 84 98 112 126 140
plus question on edge please give me brain list please or rate good
Exponential function question
Answer:
The correct answer is A.
In A, the set of ordered pairs can be generated by the exponential function f(x) = 3^x.
The graph of y = -x 2 + 3x - 2 is shown. The ZERO(S) of this function is/are
Answer:
x=2 , 1
Step-by-step explanation:
the zeros are the value of X
-x+2x+x-2
-x(x-2)+x-2
(x-2)×(x+1)
x = 2 , 1
Find the coordinates of point B on AC such that AB is 1/4 of AC
will give brainliest answers to the first who answers correctly
Find the vertical and horizontal difference between the two given points:
Horizontal is the Y values: 4 - -4 = 4+4 = 8
Vertical is the X values 7 - -1 = 7+1 = 8
Multiply the changes by the ratio:
Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)
8 * 1/4 = 2
AC in the horizontal and vertical direction is 8 units. AB in the horizontal and vertical direction is 1/4 of 8 which is 2 units. To find the coordinates of B on the graph, move 2 units to the left and 2 units down. We lie on the point (5, 2).
Best of Luck!
For the given functions FNG, find the indicated composition.
Answer:
A
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(2x - 1)
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11 → A
A spinner is divided into 4 equal parts. 1 part is colored red, 2 parts are colored blue, and 1 part is colored yellow. The spinner is spun 1000 times. Select all of reasonable possible outcomes
The sections on the spinner are used to illustrate probability
The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same
How to determine the possible outcomesThe sections in the spinners are:
Red = 1Blue = 2Yellow = 1Total = 4From the above parameters, the probability of each section is:
P(Red) = 1/4
P(Blue) = 1/2
P(Yellow) = 1/2
When the spinner is spun 1000 times, the expected outcomes are:
Red = 1/4 * 1000 = 250
Blue = 1/2 * 1000 = 500
Yellow = 1/4 * 1000 = 250
From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same
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40 POINTS. WILL AMRK BRAINLIEST!!! NEED ASAP
Dave's sister baked 3 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one twelfth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?
Answer:
The answer is 34.75% because:
Step-by-step explanation:
36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=
(PLEASE MARK ME BRAINLIEST!!!)
Answer:
6
Step-by-step explanation:
(1/3) + (1/4) + (1/6) + (1/2)
5/6
At max, ⅚ of the pies contain atleast one of these ingredients
1 - ⅚ = ⅙
Atleast ⅙ of them don't contain any
⅙ × 3 dozen
⅙ × 36
6
I will make you Brainliest, just help me please!!!
Gabriel is investigating the forces that result from contact. All of the following are types of contact forces, except which of the following? Electrostatic force, Air resistance, Spring compression, Friction force
Answer:
Electrostatic force
Step-by-step explanation:
The answer is Electrostatic force because physical contact isn't required here.
A factory makes bottled perfume. Each bottle is in the shape of a triangular prism, as shown below. If the factory is filling 27 such bottles, how much perfume will the factory need (in cubic centimeters)?
Answer:
2,916 cubic centimeters
Step-by-step explanation:
9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2
216/2 = 108 for each
108 x 27 = 2,916 cubic centimeters
All work was done by me, not Google
A bag has 6 RED marbles and 9 Blue marbles in it. What is the ratio probability of pulling a Red marble out of the bag ?
Answer:
6:9
Step-by-step explanation:
G(x)=2x-5 h(x)=4x+5 find g(3)-h(3)
Answer:
-16
Step-by-step explanation:
G(x)=2x-5 h(x)=4x+5
g(3)-h(3)
g(3) = 2(3) -5 = 6-5 =1
h(3) = 4(3) +5 = 12 +5 = 17
g(3)-h(3) = 1-17 = -16
Answer:
-16
Step-by-step explanation:
G(x)=2x-5
G(3)=2(3)-5
=6-5
=1
H(x)=4x+5
H(3)=4(3)+5
=12+5
=17
G(3)-H(3)
1-17
=-16
Therefore the final answer is -16
3/5 * (t + 41) = −3(3 − t)
t =
Answer:
T=14
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Ben sharpened 5 pencils he has 8 more unsharpened pencils than sharpened. How many unsharpened pencils does Ben have?
Which expression is equal to 7/8
A. 7 divided by 8
B. 8 x 7
C. 8 divided by 7
D. 7 x 8
Answer: A. 7 divided by 8.
Step-by-step explanation:
7/8 is the same as saying seven divided by 8.
The correct answer to the question: 'Which expression is equal to 7/8?' is A. 7 divided by 8. This is because the '/' in the fraction 7/8 represents division, so 7/8 is the same as '7 divided by 8'.
Explanation:In Mathematics, when dealing with fractions, division, and multiplication, it's crucial to understand their relationships. The symbol '/' in a fraction actually represents division. So, the fraction 7/8 can be interpreted as '7 divided by 8'. Therefore, the correct answer to your question is: 'Which expression is equal to 7/8?' is A. 7 divided by 8.
On the other hand, options B and D (8 x 7, 7 x 8) represent multiplication and C (8 divided by 7) is a different division operation where 8 is divided by 7, not 7 by 8.
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HELP PLEASE!!! ASAP 12 POINTS
Answer:
c=−3 or c=7
Step-by-step explanation:
Step 1: Cross-multiply.
c/3= 7/c−4
c*(c−4)=(7)*(3)
c2−4c=21
Step 2: Subtract 21 from both sides.
c2−4c−21=21−21
c2−4c−21=0
Step 3: Factor left side of equation.
(c+3)(c−7)=0
Step 4: Set factors equal to 0.
c+3=0 or c−7=0
c=−3 or c=7
SHOW FULL WORK FOR BRAINLY. make the answer actually make sense
Answer:
B, 7 units.
Step-by-step explanation:
Since points K and L have the same x value, their only difference in location is with their y coordinate. The difference between the first y coordinate (5) and the second y coordinate (-2) is 5-(-2)=7 units, which is the length of KL. Hope this helps!
Answer:
7
Step-by-step explanation:
To solve for this equation, we are going to use the distance formula, or what is known as:
[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\[/tex]
Solving for distance is easier to do with perfect squares, in which this one is. If you're ever wondering which way to arrange the x2-x1 it doesn't matter how you put it, just be sure to put both x and y in the same order.
[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\K(4,5)\\L(4, -2)\\\sqrt{(4 -4)^{2}+ (-2 -5)^{2} }\\\sqrt{(0)^{2}+ (-7)^{2} }\\\sqrt{(0)+ (49) }\\\sqrt{49} = 7[/tex]
I am happy to help with any other questions you might have in the future and I will continue to work hard in trying to provide the best answers I can :)
URGENT PLEASE HURRY WILL MARK BRAINLIEST PLS GIVE EXPLANATION
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
Answer:
(B)1.4
Step-by-step explanation:
The mean absolute deviation(MAD) of a set of data is the average of the absolute deviations from the mean. It gives us statistics on the variability of the given set of data.
From the given information:
The first set of data represents the height of the sixth graders. The mean absolute deviation (MAD) for their heights is 1.2.The second set of data represents the height of the seventh graders. The mean absolute deviation (MAD) for their heights is 1.7.1.2 and 1.7 are the measures of the variability of the height of the sixth and seventh graders respectively.
To find out approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders,
Let the number of times=x
MAD of the 6th graders X x=MAD of the 7th graders
1.2x=1.7
x=1.7/1.2
x=1.42[tex]\approx 1.4[/tex]
Answer:
1.4
Step-by-step explanation:
#7: At the gym on Saturday, Reese ran 5 miles on the treadmill and then
completed 1 mile on the elliptical machine, and burned 725 calories. On Sunday
she ran 3 miles on the treadmill and completed 1 mile on the elliptical, and burned
505 calories. Write and solve a linear system to find the number of calories Reese
burns on each machine.
Treadmill:
Elliptical:
Answer: The equations are 5t + e = 725 and 3t + e = 505
Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.
If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as
5t + e = 725 ------(1)
Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as
3t + e = 505 ------(2)
We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).
Subtract equation (2) from equation (1) and you arrive at;
2t = 220
Divide both sides of the equation by 2
t = 110
Having calculated the value of t, substitute for the value of t into equation (1)
5t + e = 725
5(110) + e = 725
550 + e = 725
Subtract 550 from both sides of the equation
e = 175
The above calculations shows that the calories burned on each gym equipment are;
Treadmill = 110 per hour
Elliptical = 175 per hour
Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two possible coordinates of vertex C? Round to the nearest tenth.
Answer:
two vertex are: (1 , 6.2) , (1 , - 4.2)
Step-by-step explanation:
A(-2, 1) and B (4, 1) AB is a parallel segment with x axis
The 3rd vertex P (x , y) will locate at the mid point of AB
x = (-2) + (4 - (-2)) /2 = 1 P (1 , y)
length AB = 4 - (-2) = 6
AP = AB (equilateral)
BP² = (4 - 1)² + (1 - y)² = 6²
1 - 2y + y² = 36 - 9 = 27
y² - 2y -26 = 0
y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2
y = 6.2 or y = -4.2
P (1 , 6.2) or P ( 1 , -4.2)
To find the possible coordinates of vertex C of an equilateral triangle with side AB on the coordinate plane, we calculate the midpoint of AB and use the length of the altitude to find two possible positions for C, approximated as (1, 6.2) and (1, -4.2).
Vanessa draws one side of an equilateral triangle on the coordinate plane at points A(-2, 1) and B (4, 1). To find the possible coordinates of vertex C, we first recognize that in an equilateral triangle, all sides are of equal length, and the altitude forms a 60-degree angle with the base.
Given points A(-2, 1) and B(4, 1), the distance AB is 6 units. Using the Pythagorean theorem in a 30-60-90 right triangle, the length of the altitude (half of the triangle height) from the midpoint of AB to C is 3√3. To find coordinate C, we add and subtract this distance from the midpoint of AB, which we calculate as ((-2 + 4)/2, (1 + 1)/2) = (1, 1).
Thus, the two possible coordinates for C are (1, 1 + 3√3) and (1, 1 - 3√3), which approximately are (1, 6.2) and (1, -4.2), rounding to the nearest tenth.
A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a diameter of 6 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity? Use 3.14 for pi.
Answer: Your answer is 3.77
Step-by-step explanation:
Answer:
its actually $11.30
Step-by-step explanation:
1. 9 x 3.14(pi) x 5
2. 141.3x 0.08
3. 11.304
4. if im incorrect im not sorry since its not gonna help you
HELP ILL GIVE 15 POINTS!!!!!!!!!!!!
Answer:
1 i think
Step-by-step explanation:
I honestly have no clue how to do these
Answer:
[tex]-2^{2} -4(1)(5)[/tex]
so the answer would be c.
Step-by-step explanation:
The discriminant is the following equation:
[tex]b^{2} -4ac[/tex]
You just simply plug in the values of the coefficients.
[tex]0=x^{2} -2x+5[/tex]
a = 1 (first terms coefficient)
b = -2 (second terms coefficient)
c = 5 (last terms coefficient)
PLS ANSWER ONLY IF YOU KNOW IT Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below:
45, 10, 48, 19, 36, 25, 63, 14, 39
What is the mean of the number of fish?
Question 2 options:
40
33
53
36
Answer:
33
Step-by-step explanation:
add all the numbers together and divide them by the number of values given
Answer:
33, 33.2 to be precise
Step-by-step explanation:
Mean is the average of a set of numbers, so just add all of them and divide by the amount of numbers (9)
What transformation was made to ABC?
Answer:
REFLECTION
Step-by-step explanation:
The triangle ABC was reflected over the x-axis to get triangle A'B'C'.
5. Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people
to eat lunch. At this rate, how much will it cost Mrs. Parker to feed 40 people?
Plz answer i will give brainiest to the first person who answers this correctly Plzzz helppppp!!!!!
Answer:
The correct answer is D
Step-by-step explanation:
If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.
Good luck!
6.25 in.
Apply
9. Poppy is using wire to make metal wall hangings
radius shown for her friends. Her older sister is
hangings with a diameter that is 12 inches longer
How much more wire did her sister use per
Poppy? Use 3.14 for it. Write your answer as a
the nearest hundredth.
all hangings that have the
sister is making her wall
thes longer than Poppy's.
per wall hanging than
er as a decimal rounded to
To determine how much more wire the sister used, we calculate the difference in circumference based on the increased diameter of 12 inches using the formula C = πd. The extra wire length is 3.14 • 12, which is the difference in circumference between the sister's and Poppy's wall hangings.
Explanation:The student's question focuses on comparing the length of wire used by Poppy and her sister for making metal wall hangings. Poppy's wall hangings have an unspecified radius, while her sister's hangings have a diameter that is 12 inches longer than Poppy's. The amount of wire corresponds to the circumference of the wall hangings, which can be found by using the diameter to calculate the circumference with the formula C = πd, where C is the circumference and d is the diameter.
To find out how much more wire the sister used per wall hanging than Poppy, we first determine the diameter of Poppy's hangings. Let's denote it as d, then her sister's hangings' diameter would be d + 12 inches. Using 3.14 for π, the difference in wire used would be 3.14 • (d + 12) - 3.14 • d, which simplifies to 3.14 • 12. After calculating and rounding to the nearest hundredth, we get the answer.
Solve: 2x > 18
x < 9
x > 9
x > 36
x < 36
Answer:
the answer is X > 9
Step-by-step explanation:
you divide move the 2 to the other side and divide by 18
Which statements are true regarding f(x) = 10 ? Check all that apply.
x+ 5
The domain of f(x) is (-00,-5) U (-5,0).
The range of f(x) is (0, 2) U (2, oo).
The x-intercept is at (-5,0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = -5.
The end behavior is x - -00, f(x) - 0 and x - 00, f(x) - 0.
Answer: A,D,E,F on Edge
Explanation:
yes
The true statements regarding the function f(x)=10/(x+5) are that the domain excludes x=-5, there is a vertical asymptote at x=-5, the y-intercept is at (0,2), and the end behavior is such that as x approaches negative or positive infinity, f(x) approaches 0. There are no x-intercepts, and the range is all real numbers except 0.
Explanation:The function given is f(x) = \frac{10}{x+5}. To analyze the properties of this function, we need to understand its behavior when x approaches certain values and its graph within the given restrictions. Let's check each statement given:
The domain of f(x) is (-∞, -5) U (-5, ∞). This means x can be any real number except -5, where the function would be undefined due to division by zero, indicating there is a vertical asymptote at x = -5.The range of f(x) is all real numbers since as x changes, the value of f(x) can take any real number except 0; there are no other restrictions imposed on f(x) by the function itself.The x-intercept does not occur at (-5,0) because there the function is undefined. Actually, the function cannot have an x-intercept because f(x) is never zero for any real value of x.The y-intercept is (0,2), which can be found by plugging x=0 into the function, yielding f(0) = \frac{10}{0+5} = 2.There is indeed a vertical asymptote at x = -5 since the function is undefined at this point and the values of f(x) grow without bound as x approaches -5.The end behavior suggests that as x approaches negative or positive infinity, f(x) approaches 0. This is because the numerator remains constant, and as the denominator grows larger in magnitude, the overall value of the fraction diminishes towards zero.At a back to school sale, backpacks are marked down 15%. If the original price was $34, then what is the sale price?
Answer:
$28.90
Step-by-step explanation:
If it is marked down 15% then that means it is sold at 85% of the original price
x/34=85/100
cross multiply both fractions
100x=2890
x=28.90
Answer:
$28.90
Step-by-step explanation:
take 34 and multiply that by .15, that would get you 5.1
take 34 and subtract 5.1 and that should get you your new price