If Tiva babysits for hours, she will earn $32. how many hours will she get to earn 32 $

The graph of the quadratic equation can be seen below.

Here we have a quadratic equation that represents the height:

\(h(t) = -16t^2 + 38\)

Where this represents the height in ft.

This is just a quadratic function, so to graph it we can just get some points and then connect them, by evaluating the function we will get:

\(h(0) = -16*0^2 + 38 = 38\\\\h(1) = -16*1^1 + 38 = 22\\\\h(2) = -16*1.5 + 38 = 2\)

So we have the 3 points (0, 38), (1, 22) and (2, 2), we graph them and connect them with a parabola. The graph can be seen below.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

Know more about the present value

https://brainly.com/question/30390056

#SPJ11

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

To prove that every linear map on a subspace of V can be extended to a linear map on V. We have to show that there exists a linear map T from V to W that extends S and satisfies Tu = Su for all u in U.

Let U be a subspace of a finite-dimensional vector space V, and let S be a linear map from U to another vector space W. du in U.

Since V is finite-dimensional, ready to select a premise {u1, u2, ..., um} of U and expand it to the premise {u1, u2, ..., um, v1, v2, ... increment. Let {w1, w2, ..., wk} be the premise of W.

 You can define T using the base elements of V as follows:

T(uj) = S(uj) for j = 1, 2, ..., m (since uj is in U and S is a linear map from U to W)

T(vi) = 0 for i = 1, 2, ..., n (to ensure that T is a linear map)

We can extend T linearly to all of V by defining T as

For any vector v in V, we can write v as a linear combination of basis elements.

v = a1u1 + a2u2 + ... + amount + b1v1 + b2v2 + ... + bnvn

Then we can define T(v) as

T(v) = a1T(u1) + a2T(u2) + ... + amT(um) + b1T(v1) + b2T(v2) + ... + bnT(vn)

Structurally, this definition of T agrees with the definition of S on the subspace U, since T(uj) = S(uj) for j = 1, 2, ..., m. Since T is a linear map on V, it is also well-defined and satisfies the linear property.

T(cv + w) = cT(v) + T(w)

For every vector v, w in V, and every scalar c. Thus, we showed that there exists a linear map T from V to W that extends S and satisfies Tu = Su for all u in U.

learn more about vector space

brainly.com/question/13058822

#SPJ4

Answer:

DCB=50 degree (sum of interior angle of quadrilateral)

I don't think anyone can, that's the wrong pic

Answer:119

Step-by-step explanation:

The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

The balance after 5 years is equal to $8,136.67.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

\(A(5) = 6,500(1 + \frac{0.045}{12})^{12 \times 5}\\\\A(5) = 6,500(1.00375)^{60}\)

Future value, A(5) = $8,136.67

Read more on compound interest here: brainly.com/question/16608367

#SPJ1

To solve the differential equation y"(x) + 3y(x) = 0 using series solutions, we can assume a power series solution of the form:

y(x) = ∑[n=0 to ∞] (a_n * \(x^n),\)

where \(a_n\)are the coefficients to be determined.

Differentiating y(x) with respect to x, we get:

y'(x) = ∑[n=0 to ∞] (n * \(a_n\)* \(x^(n-1)).\)

Differentiating y'(x) with respect to x again, we get:

y"(x) = ∑[n=0 to ∞] (n * (n-1) * \(a_n\)\(* x^(n-2)).\)

Substituting these expressions into the original differential equation:∑[n=0 to ∞] (n * (n-1) * \(a_n\) * x^(n-2)) + 3 * ∑[n=0 to ∞] \(a_n\) * \(x^n)\)= 0.

Now, we can rewrite the series starting from n = 0:

\(2 * a_2 + 6 * a_3 * x + 12 * a_4 * x^2 + ... + n * (n-1) * a_n * x^(n-2) + 3 * a_0 + 3 * a_1 * x + 3 * a_2 * x^2 + ... = 0.\)

To satisfy this equation for all values of x, each coefficient of the powers of x must be zero:

For n = 0: 3 * \(a_0\) = 0, which gives \(a_0\) = 0.

For n = 1: 3 * \(a_1\) = 0, which gives\(a_1\) = 0.

For n ≥ 2, we have the recurrence relation:

\(n * (n-1) * a_n + 3 * a_(n-2) = 0.\)

Using this recurrence relation, we can solve for the remaining coefficients. For example, a_2 = -a_4/6, a_3 = -a_5/12, a_4 = -a_6/20, and so on.

The general solution to the differential equation is then:

\(y(x) = a_0 + a_1 * x + a_2 * x^2 + a_3 * x^3 + ...,\)

where a_0 = 0, a_1 = 0, and the remaining coefficients are determined by the recurrence relation.

To solve the differential equation\(ry'(x) + 2y(x) = 42^2\) with the initial condition y(1) = 2 using series solutions, we can proceed as follows:

Assume a power series solution of the form:

y(x) = ∑[n=0 to ∞] (\(a_n\) *\((x - a)^n),\)

where\(a_n\)are the coefficients to be determined and "a" is the point of expansion (in this case, "a" is not specified).

Differentiating y(x) with respect to x, we get:y'(x) = ∑[n=0 to ∞] (n *\(a_n * (x - a)^(n-1)).\)

Substituting y'(x) into the differential equation:

r * ∑[n=0 to ∞] (n * \(a_n\)* \((x - a)^(n-1))\) + 2 * ∑[n=0 to ∞] (\(a_n\)*\((x - a)^n\)) = \(42^2.\)

Now, we need to determine the values of \(a_n\) We can start by evaluating the expression at the initial condition x = 1:

y(1) = ∑[n=0 to ∞] \((a_n * (1 - a)^n) = 2.\)

This equation gives us information about the coefficients \(a_n\)and the value of a. Without further information, we cannot proceed with the series solution.

Please provide the value of "a" or any additional information necessary to solve the problem.

Learn more about differential equation here:

https://brainly.com/question/1164377

#SPJ11

Answer: 27

Step-by-step explanation:

two base ten blocks then 7

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

Learn more about maximum value  here:

brainly.com/question/23504923

#SPJ4

The constant of proportionality is 10. The correct option is C.

Given that the busy bee store bottles fresh jars of honey at a constant rate in 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey.

We have to find the constant of proportionality.

The constant of proportionality is the ratio of the so-called proportional relationship that relates two given values ​​to each other.

As it is given that in 2 hours 20 jars of honey filled.

That means the constant of proportionality is ratio of jars with time and we get

r₁=20/2

r₁=10 jars in hour

Similarly, it is given that in 5 hours 50 jars of honey filled.

That means the constant of proportionality is ratio of jars with time and we get

r₂=50/5

r₂=10 jars in hour

Here, r₁=r₂=10 which is the constant of proportionality.

Hence, the constant of proportionality when the busy bee store bottles fresh jars of honey at a constant rate. in 2 hours, it bottles 20 jars, and in 5 hours, it bottles 50 jars of honey is 10.

Learn more about the constant of proportionality from here brainly.com/question/26171814

#SPJ4

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

Answer:

3,384

Step-by-step explanation:

So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:

564 x 6 = 3,384

hope this helps:D

Step-by-step explanation:

I don't see the main question but this is the binomial expansion of the expression (4x-2y)^5

Answer:

below

Step-by-step explanation:

The answer of the first expert is correct, this is from Pascal triangle 5th level.

shown in the attached picture, when we extend the brackets the whole function will become...

f(x) = 1*(4x)⁵(-2y)⁰ + 5*(4x)⁴(-2y)¹ + 10*(4x)³(-2y)² + 10* (4x)²(-2y)³ + 5*(4x)¹(-2y)⁴ +   1*(4x)⁰(-2y)⁵

     = (4x - 2y)⁵

Answer:

let cow=x and chickens =y

cows have 4 legs, 4x. chickens have 2 legs, 2y

Answer:

a= 15 cows b= 27 chickens c= none, he is not an animal.

Step-by-step explanation:

cows have four legs

chickens have two

15 cows = 60 legs

27 chickens = 54 legs

60+54 = 114

please make me the brainliest if you find this helpful :)

Answer

Step-by-step explanation:

Let's solve for z.

a(t+z)=45z+67

Step 1: Add -45z to both sides.

at+az+−45z=45z+67+−45z

at+az−45z=67

Step 2: Add -at to both sides.

at+az−45z+−at=67+−at

az−45z=−at+67

Step 3: Factor out variable z.

z(a−45)=−at+67

Answer:

Step-by-step explanation:

To determine the usefulness of the regression model for the pizzeria owner, the most appropriate statistic would be the coefficient of determination (R-squared).

The coefficient of determination, also known as R-squared, measures the proportion of the variation in the dependent variable that is explained by the independent variables in a regression model. It provides a measure of how well the regression model fits the data.

By examining the R-squared value, the pizzeria owner can determine the usefulness of the regression model in predicting or explaining the variability in their business-related variable, such as pizza sales. A high R-squared value (close to 1) indicates that the model is successful in explaining a large portion of the variation in the dependent variable. On the other hand, a low R-squared value (close to 0) suggests that the model is not effective in capturing the relationships between the independent and dependent variables.

Therefore, the pizzeria owner should use the coefficient of determination (R-squared) as the most appropriate statistic to assess the usefulness of the regression model, as it quantifies the model's ability to explain the observed variation in the dependent variable.

Learn more about dependent variables: brainly.com/question/25223322

#SPJ11

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ2

Answer:

s4 = 270

18+36+72+144 = 270

-- convergent sums to a single value

Step-by-step explanation:

Answer:

To find the measure of each interior angle of any regular polygon, we use the formula {(n - 2) × 180} / n degrees, where n is the number of sides of the polygon.

Step-by-step explanation:

Answer:

first: 27.5

second: 250%

Step-by-step explanation:

first: 17.16 ÷ 62.4% = 0.275, 27.5

second: 51 ÷ 127.5 = 0.4, 40%,

100% ÷ 40%, = 2.5, 250%

Answer:

43

Step-by-step explanation:

2 significant figures means we keep the first 2 and round the 1 place

42.598 we round to 43 since next to the 2 is a 5 so we round up

And 43 are 2 significant figures since none of them are zero

Hopes this helps please mark brainliest

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

Answer:

please. mark brainlist

Step-by-step explanation:

8) is a right triangle

9)i think this one is a actute triangle am not sure

10)is a right triangle

\(f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5\)

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

B -- (5 smoothings)(price of 1 smoothie) + tip = $23

Step-by-step explanation:

5 smoothies(price of 1 smoothie)+tip=23

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula: \(d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}\)

Since we have two given points, all we have to do is plug them in.

\(d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}\)              [parentheses]

\(d=\sqrt{(7)^2+(-4 )^2}\)                                [exponent]

\(d=\sqrt{49+16}\)                                        [add]

\(d=\sqrt{65}\)                                                [square root]

\(d=8.06\)

Now we know that the distance is d=8.06.