Answer:
Range = Highest - Lowest
= 12 - 0
= 12
Solve each system by substitution 2x + y = 20 and 6x - 5y = 12
[tex] \huge\mathbf{Answer࿐}[/tex]
[tex] \underline{ \underline{ \bf{step} - 1}}[/tex]
Taking first equation,
[tex]2x + y = 20[/tex][tex]y = 20 - 2x[/tex][tex] \underline{ \underline{ \bf{step} - 2}}[/tex]
plugging the value of y in second equation,
[tex]6x - 5y = 12[/tex][tex]6x - 5(20 - 2x) = 12[/tex][tex]6x - 100 + 10x = 12[/tex][tex]16x = 12 + 100[/tex][tex]x = \dfrac{112}{16} [/tex][tex]x = 7[/tex][tex] \underline{ \underline{ \bf{step} -3}}[/tex]
plugging the value of x in first equation,
[tex]2x + y = 20[/tex][tex](2 \times 7) + y = 20[/tex][tex]14 + y = 20[/tex][tex]y = 20 - 14[/tex][tex]y = 6[/tex]Conclusion :[tex]x = 7[/tex][tex]y = 6[/tex]____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?
a 1
b 2
c 4
d 5
Answer: 5
Step-by-step explanation: I used m.athway
Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice
contain these letters:
Die #1: A B C D E F
Die #2: G H I J K L
Die #3: M N O P Q R
a. What is the probability that he will roll three vowels? (3 points)
b. What is the probability that he will roll the word DIP?
Answer:
a. The probability is 1 of 108 that he will roll 3 vowels
b. the probability is 1 of 216 that he will roll the word DIP.
Step-by-step explanation:
a. find the 3 chances and multiply
2/6 x 1/6 x 1/6 = 1/108
b. Find the 3 chances of each letter of DIP and multiply
1/6 x 1/6 x 1/6 = 1/216
Hope this helps! (PLS GIVE BRAINLIEST)
The range of the function defined as y = 5x is
The required range of the function y = 5ˣ is y > 0. Option b is correct.
Given that,
To determine the range of the function y = 5ˣ.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
What is the range?Range, it is the set of the values that come out to an outcome for certain mathematical operations.
Here,
unction y = 5ˣ,
Since the independent variable is at the exponent so the range of the function is always greater than 1.
Thus, the required range of the function y = 5ˣ is y > 0. Option b is correct.
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Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
what is the answer to 5(10.5 + s)?
Ok so when a parenthesee or this symbol ( is beside a letter/Number, in this case 5 you multiply it by whats inside, so 5x10.5, and 5x10.5=52.5. Now for S, it would be 52.5+S.
That is your answwer, and if you wouldn't mind, could I have brainliest?
- Find the value of x. If necessary, round to the nearest tenth.
A = = 53 sq. in
Answer:
10.3
Step-by-step explanation:
Area of triangle is : 0.5 *base * height
53 =0.5 * x * x
X =10.295
What is the solution set for this inequality?
-3x + 10 > 22
A. X >-4
B. X <-4
C. X>4
D. X <-4
Nee
Answer:
X<-4
Step-by-step explanation:
-3x+10>22
subtract 10 to both sides
-3x>12
divide by -3 on both sides
when you divide by a negative number you flip the sign so the answer will be x<-4
10 + 6x + 4x = 16 – (-4)
Answer:
X=1
Step-by-step explanation:
comine all like terms
10x + 10 = 16 - (-4)
10x + 10 = 20
10x=10
x=1
Please help! Math work!
Answer:
The first one is exponential, the second one is linear, and the last one is quadratic.
Step-by-step explanation:
The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.
The second one is linear, because the values are increasing at a constant rate.
The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.
Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial
Classification:
Monomial: One term
Mono = One
Polynomial: Multiple terms e.g. (2,3,4 and so on)
Poly: Many
Binomial: Two terms
Bi = Two
Trinomial: Three terms
Tri = Three
The expression of "mx + b" would be classified as a monomial due to it having only one exponent.
113
13- Angeles is 5yrs younger
Than her husband Joseph.
The sum of their ages is 63years. How old would Angeles be in 5years time.
What is g(x)=-5x+3 if “x” is 9
Answer:
-40
Step-by-step explanation
-5(9)+3 =
-43+3 = -40
Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Pls answer fast
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.
Answer:
[tex]h(x) = 57(0.8)^x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 32(0.8)^x[/tex]
[tex]g(x) = 25(0.8)^x[/tex]
Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions
[tex]h(x) = f(x) + g(x)[/tex]
[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]
Factorize
[tex]h(x) = (32 + 25)(0.8)^x[/tex]
[tex]h(x) = 57(0.8)^x[/tex]
arrange the following decimal fractions from smallest to biggest
7,01
0,701
0,71
7,34
7,0101
71,01
7,034
Answer:
0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01
Step-by-step explanation:
What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters
Answer:
la alianza b valorarlo Lampazos puntualizó
Find the value of x. Express your answer in simplest radical form.
Answer:
Option D
Step-by-step explanation:
GIVEN :-
Length of hypotenuse = 5 unitsLength of both the legs of the triangle = x units.TO FIND :-
Value of xFACTS TO KNOW BEFORE SOLVING :-
Pythagoras Theorem states that measure of :-
Hypotenuse² = Base² + Perpendicular²
SOLUTION :-
The triangle given in the question is a right-angled triangle. So , Pythagoras theorem can be applied in it.
[tex]=> 5^2 = x^2 + x^2[/tex]
[tex]=> 2x^2 = 5^2[/tex]
[tex]=> x^2 = \frac{5^2}{2}[/tex]
[tex]=> x = \sqrt{\frac{5^2}{2} } = \frac{5}{\sqrt{2} }[/tex]
Rationalizing the value ,
[tex]=> x = \frac{5}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}[/tex]
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
8560.75
Answer:
apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11
2
Which function has the
same slope as the
linear function graphed
below?
A. y = 4x + 3
B. y = 7x + 3
C. y = 2 - 4x
D. y = 2 - 4x
16 115
4
13
2 110
+1 +2 +3 +4 +5 +6
2. 3
5
6
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the required graph is not attached. The general explanation is as follows:
To calculate the slope of a line, we select two points on the line.
Assume, the points are:
[tex](x_1,y_1) = (-1,0)[/tex]
[tex](x_2,y_2) = (0,-4)[/tex]
The slope will be:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4-0}{0--1}[/tex]
[tex]m = \frac{-4}{1}[/tex]
[tex]m = -4[/tex]
For each of the options, the slope is calculated from the following representation
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope i.e. the coefficient of c
By comparison, we have:
[tex]A.\ m =4[/tex]
[tex]B.\ m = 7[/tex]
[tex]C.\ m = -4[/tex]
[tex]D.\ m = -4[/tex]
So: (C) and (D) have the same coefficients as the assumed function
x divided by 6 plus 11 = 14
show steps
what is x
Answer:
x=18
Step-by-step explanation:
[tex] \frac{x}{6} + 11 = 14[/tex]
[tex] \frac{x}{6} = 3[/tex]
x=6×3
x=18
plz mark as brainliest
One out of every five students in this class has an A. What percent of the students have an A?
Please help will mark as brainliest if correct
Answer:
B) 29.6°
Step-by-step explanation:
it's a right triangle so you can use SOA CAH TOA
in this case we would use cosine because we know the adjacent and the hypotenuse
arccosФ = 20/23 = 29.59
PLS HELP ASAP
For the relation S: {(2, 3), (-1, 4), (1, 6)}. Find the domain and range.
Answer:
Domain: -1, 1, 2
Range: 3, 4, 6
Step-by-step explanation:
The domain is all of the x-values and the range is all of the y-values.
Hope this helps :)
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft
1. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the null and alternative hypotheses.
2. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Find the value of the test statistic.
3. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Specify if the test is one-tailed or two-tailed.
4. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Determine the P-value of the test statistic.
5. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Identify the value of the level of significance.
6. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 59% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 54%. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.
7. The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 71% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 68 %. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? State the conclusion of the hypothesis test.
Answer:
See step by step explanation
Step-by-step explanation:
Sample size n = 800
p₁ = 71 % p₁ = 0,71 and q₁ = 0,29
Claim from political strategy wants evaluation to see if that sample implies that residents who favor the construction are more than 68 %
Then
p₀ = 68% p₀ = 0,68
Sample size 800 big enough to use the approximation of binomial distribution to normal distribution
1) Hypothesis Test
Null Hypothesis H₀ p₁ = p₀
Alternative Hypothesis Hₐ p₁ > p₀
2)Test Statistics z (s)
z(s) = ( p₁ - p₀ ) / √p₁*q₁/n
z(s) = 0,03 / √0,71*0,29/800
z(s) = 0,03 / 0,016
z(s) = 1,875
3) In the problem statement the expression " more than " has to be formulated in the alternative hypothesis and indicates that the test is one tail test to the right
4) z(s) = 1.875 from z-Table we get p-value = 0,030
Now significance level is α = 0,02
Therefore p-value > 0.02
Then that value corresponds to the acceptance region for H₀.
We don´t have enough evidence to support the strategist´s claim
5) The level of significance is α = 0,02
6) If now we change α to be equal to 0,01 α = 0,01
p-value > 0,01 and still we have to accept H₀
7) We accept H₀ we are not able to support strategist´s claim
Consider the following data that represents gas mileages per gallon (mpg) of randomly selected cars of a particular brand.
28 32 23 28 24 36 31 34 25 28 29 23 25
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg. Compute the p-value.
Answer:
The p-value is 0.1228.
Step-by-step explanation:
Before testing the hypothesis, we need to find the sample mean and the standard deviation.
Sample of 13:
The sample mean is the sum of all values divided by 13. Using a calculator, it is: X = 28.15.
The sample standard deviation is the square root of the division of the sum of the differences squared between each value and the mean, by the number of values. Using a calculator, we get s = 4.0162.
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg.
At the null hypothesis, we test if the average gas mileage is of 30 mpg, that is:
[tex]H_0: \mu = 30[/tex]
At the alternate hypothesis, we test if the average is different from 30, that is:
[tex]H_1: \mu \neq 30[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
30 is tested at the null hypothesis:
This means that [tex]\mu = 30[/tex]
From the sample:
[tex]X = 28.15, s = 4.0162[/tex].
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{28.15 - 30}{\frac{4.0162}{\sqrt{13}}}[/tex]
[tex]t = -1.66[/tex]
P-value of the test:
The p-value of the test is the probability that the sample mean differs from 30 by at least |28.15 - 30| = 1.75, which is a two-tailed test with t = -1.66 and 13 - 1 = 12 df.
Using a t-distribution calculator, this p-value is 0.1228.
A silo contains 60,000 pounds of grain how many tons are in 60,000 pounds?
Answer:
30 tons
Step-by-step explanation:
30 is correct
ᶦ ᵗᵒᵒᵏ ᵗʰᵉ ᵗᵉˢᵗ
Given TU = 7.4. what is PS in OC? Round to the nearest tenth.
Answer:
3.7
Step-by-step explanation:
TU= 7.4
PS is half of TU, so we divide 7.4 by 2.
The value of the PS in OC will be 3.8 Phythogorous theorem is applied in the triangle PSC to solve the problem.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes.
Joining the point p to c, resulting in pc being the circle's radius and equal to CQ's radius.
Take a look at the PSC triangle now. In the right angle triangle, PSC apply phythogorous theorem.
PC²=PS²+SC²
(5.1)²=PS²+(3.4)²
26.01=PS²+11.56
PS²=26.01-11.56
PS=√(14.45)
PS=3.8
Hence, the value of the PS in OC will be 3.8
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Use the Distributive Property to solve the equation. −8x+32=24
Answer:
1
Step-by-step explanation:
-8x+32=24
-8x=24-32
-8x=-8
x=-8/-8
x=1