AC = 46
AB + BC = AC
(4x + 7) + (3x + 4) = 46
4x + 7 + 3x + 4 = 46
(4x + 3x) + (7 + 4) = 46
7x + 11 = 46
7x = 46 - 11
7x = 35
x = 35/7
x = 5
AB = 4x + 7
AB = 4(5) + 7
AB = 20 + 7
AB = 27
BC = 3x + 4
BC = 3(5) + 4
BC = 15 + 4
BC = 19
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
Suppose the waiting time in a Piggly Wiggly checkout line follows an Exponential distribution with an average wait of 7 minutes. What is the 80th percentile of waiting times?
Answer: 11.3 minutes
Step-by-step explanation: Exponential Distribution is a distribution with function of the form:
[tex]f(x)=\lambda.e^{-\lambda.x}[/tex]
often related to an amount of time until an event occur.
The greek letter λ is decay parameter and have a relationship with the mean:
[tex]\lambda=\frac{1}{\mu}[/tex]
and x is the amount of time
Probability in exponential distribution is given by
[tex]P(x<X)=1-e^{-\lambda.x}[/tex]
Percentile is a value below which a percentage of the data falls.
For the waiting line in a Piggly Wiggly checkout, 80th percentile will be
[tex]P(x<h)=0.8[/tex]
[tex]P(x<h)=1-e^{-\frac{1}{7}h}[/tex]
[tex]0.8=1-e^{-\frac{1}{7}h}[/tex]
[tex]e^{-\frac{h}{7} }=0.2[/tex]
[tex]-\frac{h}{7} =ln(0.2)[/tex]
h = 11.3
The 80th percentile of waiting times is 11.3 minutes.
While shopping Lucy spent 48$. If the amount she spent was 15% of her savings how much savings did she have. Before she shopped
Answer:
im not sure but i think its 55.2
Step-by-step explanation:
48+15%=55.2
Tell whether the relation is a function. Explain.
Estimate the solution of 4x + 5 = 34.
Answer:
29/4
Step-by-step explanation:
4x=29
x=29/4
The value of x and the solution of the equation is 7.25.
What is an Equation?An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.
The solution of 4x+5 = 34 is
4x = 34-5
4x = 29
x = 29/4
x = 7.25
The value of x and the solution of the equation is 7.25.
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29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.
A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.
What is the probability that a randomly chosen college student exercises in the morning or afternoon?
0.37
0.39
0.62
0.76
Answer:
WARNING! .39 AND .76 IS WRONG.
THE PEOPLE ABOVE ARE INCORRECT.
THE ANSWER IS EITHER .37 OR .62
I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.
(C)
ED2021
The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomesFrom the given Venn diagram, we see that
Probability that the student exercises in the afternoon
P(A) = 0.14 + 0.37 = 0.51
Probability that the student exercises in the morning
P(M) = 0.25 + 0.37 = 0.61
Now, the probability that a randomly chosen college student exercises in the morning or afternoon
P(A ∩ M) = 0.37
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Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
What is the equation for the line in slope-intercept form? will give brainliest
Enter your answer in the box.
Answer:
y = 8x
Step-by-step explanation:
The slope is 8, the y-intercept is 0. The slope-intercept form is written:
y = mx + b
So this situation would be written y = 8x + 0 or just y = 8x.
Hope it helps!
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
Let v = (5,-2) and w = (4,10). Which of the following is true? Check all that
apply.
A. V and w are perpendicular.
B. v.w = 20
C. The y-component of wis 10.
D. W = -2(-2,-5)
Answer: The answer is A, C and D
Step-by-step explanation:
The expression that is true for (v) and (w) on the graph can be seen in options A, B and D
What is the expression of data on the graph?The expression of data on the graph takes a standard form of arrangement in terms of (x, y).
From the given information:
v = (5, -2) i.e. we have 5 on the x-axis and -2 on the y axisw = (4, 10) i.e we have 4 on the x-axis and 10 on the y axisIf we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;
w = (2, 5)v = (5, -2)This shows that v and w are perpendicular to each other, and the product of v.w = 20
Similarly, W = -2(-2, -5) because by opening the brackets we have:
W = (4, 10)
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BACK AT IT AGAIN WITH 100 POINTSSSSS!!! FIRST ONE TO ANSWER GETSSSSSS BRAINLIEST!!!!!
Answer:
me breolllllll please
Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
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A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Which equation is represented by the graph below
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!
Answer:
I'm pretty sure it's neither? You need a graph or something for that
Answer:
I think its perpendicular
Step-by-step explanation:
When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!
Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
[tex]x^2+2y^2=17k^2[/tex]
The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]
Differentiate the equation with the respect of x.
[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]
The negative reciprocal is:
[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]
Integration of the above equation:
[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]
Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]
What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
Hi there! :)
[tex]\large\boxed{\text{B. 11 cm.}}[/tex]
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
graph the line whose x-intercept is -6 and whose y-intercept is -7
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4
Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
What is 20% of $10
The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]
Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.
Answer: James earns $50 more in commission than Rhoda for each laptop sold.
Step-by-step explanation:hope it helps
James earned $50 more than Rhoda.
What is Data?A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.
Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.
Given:
In one month, Rhoda earns $2000 in commission for selling 10 laptops.
For, one laptop = 2000/10
= 200
Now, as from the graph
In one month, James earns $2500 in commission for selling 10 laptops.
For, one laptop = 2500/10
= 250
So, James earned $50 more than Rhoda.
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30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answer:
c)
Step-by-step explanation:
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
what is 7%o of 14.68
Answer:
1.03
Step-by-step explanation:
i multiplied 14.68×.07
hope this is correct and helps
Answer:
1.03
Have a good day! :)
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation: